TSTP Solution File: ALG116+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG116+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:09:56 EDT 2024
% Result : Theorem 4.70s 0.97s
% Output : CNFRefutation 4.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 290
% Syntax : Number of formulae : 2042 ( 231 unt; 0 def)
% Number of atoms : 6285 (2805 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 7353 (3110 ~;3354 |; 616 &)
% ( 255 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 275 ( 273 usr; 274 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(op1(e13,op1(e13,e13)),e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = e20
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = e21
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = e22
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = e23
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f21,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f26,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f27,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(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(f29,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f37,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f38,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f39,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f41,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f42,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f43,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f44,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f46,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f49,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f52,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(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(f56,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f57,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f58,plain,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f59,plain,
( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f64,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f65,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f66,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f69,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f70,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f72,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f73,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f75,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f76,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f77,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f78,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f79,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f81,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(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(f86,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f87,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f89,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f90,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(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(f98,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f99,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(f104,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f105,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f106,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f110,plain,
( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f112,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f114,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f115,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f117,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f124,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f128,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f137,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f138,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f139,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f140,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f141,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f143,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f152,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f154,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f156,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(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(f161,plain,
op1(e13,e11) != op1(e13,e12),
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(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f172,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f174,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f175,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f177,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f178,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f179,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f182,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f183,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f185,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f187,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f189,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f191,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f193,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f194,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f195,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f196,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f197,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f200,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f202,plain,
op2(e22,e20) != 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(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(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f241,plain,
( pd0_0
| ( op1(op1(e13,e10),op1(e13,e10)) = e10
& op1(op1(e13,e11),op1(e13,e11)) = e11
& op1(op1(e13,e12),op1(e13,e12)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f242,plain,
( pd0_0
| op1(op1(e13,e10),op1(e13,e10)) = e10 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f243,plain,
( pd0_0
| op1(op1(e13,e11),op1(e13,e11)) = e11 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f244,plain,
( pd0_0
| op1(op1(e13,e12),op1(e13,e12)) = e12 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f245,plain,
( pd0_0
| op1(op1(e13,e13),op1(e13,e13)) = e13 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f246,plain,
( pd0_1
=> ( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f247,plain,
( pd0_1
| ( op2(op2(e23,e20),op2(e23,e20)) = e20
& op2(op2(e23,e21),op2(e23,e21)) = e21
& op2(op2(e23,e22),op2(e23,e22)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(formula_renaming,[status(thm)],[f11,f246]) ).
fof(f248,plain,
( pd0_1
| op2(op2(e23,e20),op2(e23,e20)) = e20 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f250,plain,
( pd0_1
| op2(op2(e23,e22),op2(e23,e22)) = e22 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f251,plain,
( pd0_1
| op2(op2(e23,e23),op2(e23,e23)) = e23 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f252,plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f253,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f254,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f255,plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f256,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f257,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f258,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f259,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f260,plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f261,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f262,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f263,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f264,plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f265,plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f266,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f267,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f268,plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f269,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f270,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f271,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f272,plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f273,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f274,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 )
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 )
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f275,plain,
( pd0_2
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f274]) ).
fof(f276,plain,
( pd0_3
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f274]) ).
fof(f277,plain,
( pd0_4
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f274]) ).
fof(f278,plain,
( pd0_5
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f274]) ).
fof(f279,plain,
( pd0_6
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f274]) ).
fof(f280,plain,
( pd0_7
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f274]) ).
fof(f281,plain,
( pd0_8
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f274]) ).
fof(f282,plain,
( pd0_9
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f274]) ).
fof(f283,plain,
( pd0_10
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f274]) ).
fof(f284,plain,
( pd0_11
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f274]) ).
fof(f285,plain,
( pd0_12
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f274]) ).
fof(f286,plain,
( pd0_13
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f274]) ).
fof(f287,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| pd0_2
| pd0_3
| pd0_4
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_5
| pd0_6
| pd0_7
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_8
| pd0_9
| pd0_10
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| pd0_11
| pd0_12
| pd0_13
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f274,f286,f285,f284,f283,f282,f281,f280,f279,f278,f277,f276,f275]) ).
fof(f297,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_8
| pd0_9
| pd0_10
| h3(e11) != e23 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f304,plain,
( ~ pd0_0
| ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 )
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f240]) ).
fof(f305,plain,
( pd0_14
=> ( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 ) ) ),
introduced(predicate_definition,[f304]) ).
fof(f306,plain,
( ~ pd0_0
| pd0_14
| ( op1(op1(e12,e10),op1(e12,e10)) = e10
& op1(op1(e12,e11),op1(e12,e11)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e12,e13),op1(e12,e13)) = e13 ) ),
inference(formula_renaming,[status(thm)],[f304,f305]) ).
fof(f307,plain,
( ~ pd0_0
| pd0_14
| op1(op1(e12,e10),op1(e12,e10)) = e10 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f308,plain,
( ~ pd0_0
| pd0_14
| op1(op1(e12,e11),op1(e12,e11)) = e11 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f309,plain,
( ~ pd0_0
| pd0_14
| op1(op1(e12,e12),op1(e12,e12)) = e12 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f310,plain,
( ~ pd0_0
| pd0_14
| op1(op1(e12,e13),op1(e12,e13)) = e13 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f311,plain,
( ~ pd0_1
| ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 )
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f246]) ).
fof(f312,plain,
( pd0_15
=> ( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 ) ) ),
introduced(predicate_definition,[f311]) ).
fof(f313,plain,
( ~ pd0_1
| pd0_15
| ( op2(op2(e22,e20),op2(e22,e20)) = e20
& op2(op2(e22,e21),op2(e22,e21)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e22,e23),op2(e22,e23)) = e23 ) ),
inference(formula_renaming,[status(thm)],[f311,f312]) ).
fof(f314,plain,
( ~ pd0_1
| pd0_15
| op2(op2(e22,e20),op2(e22,e20)) = e20 ),
inference(cnf_transformation,[status(esa)],[f313]) ).
fof(f317,plain,
( ~ pd0_1
| pd0_15
| op2(op2(e22,e23),op2(e22,e23)) = e23 ),
inference(cnf_transformation,[status(esa)],[f313]) ).
fof(f318,plain,
( ~ pd0_2
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f275]) ).
fof(f322,plain,
( ~ pd0_2
| h1(e13) != e20 ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f323,plain,
( ~ pd0_3
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f276]) ).
fof(f325,plain,
( ~ pd0_3
| h1(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f326,plain,
( ~ pd0_3
| h1(e12) != e21 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f328,plain,
( ~ pd0_4
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f277]) ).
fof(f329,plain,
( ~ pd0_4
| h1(e10) != e22 ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f333,plain,
( ~ pd0_5
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f278]) ).
fof(f334,plain,
( ~ pd0_5
| h2(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f333]) ).
fof(f338,plain,
( ~ pd0_6
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f279]) ).
fof(f342,plain,
( ~ pd0_6
| h2(e13) != e21 ),
inference(cnf_transformation,[status(esa)],[f338]) ).
fof(f343,plain,
( ~ pd0_7
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f280]) ).
fof(f345,plain,
( ~ pd0_7
| h2(e11) != e22 ),
inference(cnf_transformation,[status(esa)],[f343]) ).
fof(f346,plain,
( ~ pd0_7
| h2(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f343]) ).
fof(f348,plain,
( ~ pd0_8
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f281]) ).
fof(f349,plain,
( ~ pd0_8
| h3(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f348]) ).
fof(f350,plain,
( ~ pd0_8
| h3(e11) != e20 ),
inference(cnf_transformation,[status(esa)],[f348]) ).
fof(f351,plain,
( ~ pd0_8
| h3(e12) != e20 ),
inference(cnf_transformation,[status(esa)],[f348]) ).
fof(f352,plain,
( ~ pd0_8
| h3(e13) != e20 ),
inference(cnf_transformation,[status(esa)],[f348]) ).
fof(f353,plain,
( ~ pd0_9
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f282]) ).
fof(f355,plain,
( ~ pd0_9
| h3(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f353]) ).
fof(f356,plain,
( ~ pd0_9
| h3(e12) != e21 ),
inference(cnf_transformation,[status(esa)],[f353]) ).
fof(f358,plain,
( ~ pd0_10
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f283]) ).
fof(f362,plain,
( ~ pd0_10
| h3(e13) != e22 ),
inference(cnf_transformation,[status(esa)],[f358]) ).
fof(f363,plain,
( ~ pd0_11
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f284]) ).
fof(f364,plain,
( ~ pd0_11
| h4(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f368,plain,
( ~ pd0_12
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f285]) ).
fof(f370,plain,
( ~ pd0_12
| h4(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f373,plain,
( ~ pd0_13
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f286]) ).
fof(f376,plain,
( ~ pd0_13
| h4(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f373]) ).
fof(f378,plain,
( ~ pd0_14
| ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 )
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f305]) ).
fof(f379,plain,
( pd0_16
=> ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 ) ),
introduced(predicate_definition,[f378]) ).
fof(f380,plain,
( ~ pd0_14
| pd0_16
| ( op1(op1(e11,e10),op1(e11,e10)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e11,e12),op1(e11,e12)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e13 ) ),
inference(formula_renaming,[status(thm)],[f378,f379]) ).
fof(f381,plain,
( ~ pd0_14
| pd0_16
| op1(op1(e11,e10),op1(e11,e10)) = e10 ),
inference(cnf_transformation,[status(esa)],[f380]) ).
fof(f382,plain,
( ~ pd0_14
| pd0_16
| op1(op1(e11,e11),op1(e11,e11)) = e11 ),
inference(cnf_transformation,[status(esa)],[f380]) ).
fof(f383,plain,
( ~ pd0_14
| pd0_16
| op1(op1(e11,e12),op1(e11,e12)) = e12 ),
inference(cnf_transformation,[status(esa)],[f380]) ).
fof(f384,plain,
( ~ pd0_14
| pd0_16
| op1(op1(e11,e13),op1(e11,e13)) = e13 ),
inference(cnf_transformation,[status(esa)],[f380]) ).
fof(f385,plain,
( ~ pd0_15
| ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 )
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f312]) ).
fof(f386,plain,
( pd0_17
=> ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 ) ),
introduced(predicate_definition,[f385]) ).
fof(f387,plain,
( ~ pd0_15
| pd0_17
| ( op2(op2(e21,e20),op2(e21,e20)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e21,e22),op2(e21,e22)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e23 ) ),
inference(formula_renaming,[status(thm)],[f385,f386]) ).
fof(f388,plain,
( ~ pd0_15
| pd0_17
| op2(op2(e21,e20),op2(e21,e20)) = e20 ),
inference(cnf_transformation,[status(esa)],[f387]) ).
fof(f389,plain,
( ~ pd0_15
| pd0_17
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(cnf_transformation,[status(esa)],[f387]) ).
fof(f390,plain,
( ~ pd0_15
| pd0_17
| op2(op2(e21,e22),op2(e21,e22)) = e22 ),
inference(cnf_transformation,[status(esa)],[f387]) ).
fof(f391,plain,
( ~ pd0_15
| pd0_17
| op2(op2(e21,e23),op2(e21,e23)) = e23 ),
inference(cnf_transformation,[status(esa)],[f387]) ).
fof(f392,plain,
( ~ pd0_16
| ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e10,e11),op1(e10,e11)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e12
& op1(op1(e10,e13),op1(e10,e13)) = e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f379]) ).
fof(f393,plain,
( ~ pd0_16
| op1(op1(e10,e10),op1(e10,e10)) = e10 ),
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f395,plain,
( ~ pd0_16
| op1(op1(e10,e12),op1(e10,e12)) = e12 ),
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f396,plain,
( ~ pd0_16
| op1(op1(e10,e13),op1(e10,e13)) = e13 ),
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f397,plain,
( ~ pd0_17
| ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e20,e21),op2(e20,e21)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e22
& op2(op2(e20,e23),op2(e20,e23)) = e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f386]) ).
fof(f398,plain,
( ~ pd0_17
| op2(op2(e20,e20),op2(e20,e20)) = e20 ),
inference(cnf_transformation,[status(esa)],[f397]) ).
fof(f399,plain,
( ~ pd0_17
| op2(op2(e20,e21),op2(e20,e21)) = e21 ),
inference(cnf_transformation,[status(esa)],[f397]) ).
fof(f400,plain,
( ~ pd0_17
| op2(op2(e20,e22),op2(e20,e22)) = e22 ),
inference(cnf_transformation,[status(esa)],[f397]) ).
fof(f401,plain,
( ~ pd0_17
| op2(op2(e20,e23),op2(e20,e23)) = e23 ),
inference(cnf_transformation,[status(esa)],[f397]) ).
fof(f402,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f403,plain,
( op1(e10,e10) = e10
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( spl0_1
<=> op1(e10,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f406,plain,
( op1(e10,e10) = e11
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( spl0_2
<=> op1(e10,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f409,plain,
( op1(e10,e10) = e12
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f412,plain,
( op1(e10,e10) = e13
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f415,plain,
( spl0_4
<=> op1(e10,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f416,plain,
( op1(e10,e11) = e10
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( spl0_5
<=> op1(e10,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( op1(e10,e11) = e11
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( spl0_6
<=> op1(e10,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f422,plain,
( op1(e10,e11) = e12
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f425,plain,
( op1(e10,e11) = e13
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f21,f415,f418,f421,f424]) ).
fof(f428,plain,
( spl0_8
<=> op1(e10,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f429,plain,
( op1(e10,e12) = e10
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( spl0_10
<=> op1(e10,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f435,plain,
( op1(e10,e12) = e12
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,plain,
( spl0_11
<=> op1(e10,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f438,plain,
( op1(e10,e12) = e13
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f22,f428,f431,f434,f437]) ).
fof(f441,plain,
( spl0_12
<=> op1(e10,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f442,plain,
( op1(e10,e13) = e10
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( spl0_13
<=> op1(e10,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f445,plain,
( op1(e10,e13) = e11
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f448,plain,
( op1(e10,e13) = e12
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f454,plain,
( spl0_16
<=> op1(e11,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( op1(e11,e10) = e10
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( spl0_17
<=> op1(e11,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f458,plain,
( op1(e11,e10) = e11
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( spl0_18
<=> op1(e11,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f461,plain,
( op1(e11,e10) = e12
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( spl0_19
<=> op1(e11,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f464,plain,
( op1(e11,e10) = e13
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f24,f454,f457,f460,f463]) ).
fof(f467,plain,
( spl0_20
<=> op1(e11,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( op1(e11,e11) = e10
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( spl0_21
<=> op1(e11,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( op1(e11,e11) = e11
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( spl0_22
<=> op1(e11,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f474,plain,
( op1(e11,e11) = e12
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f477,plain,
( op1(e11,e11) = e13
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f25,f467,f470,f473,f476]) ).
fof(f480,plain,
( spl0_24
<=> op1(e11,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f481,plain,
( op1(e11,e12) = e10
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( spl0_25
<=> op1(e11,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( op1(e11,e12) = e11
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( spl0_26
<=> op1(e11,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( op1(e11,e12) = e12
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f26,f480,f483,f486,f489]) ).
fof(f493,plain,
( spl0_28
<=> op1(e11,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( op1(e11,e13) = e10
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( spl0_29
<=> op1(e11,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f497,plain,
( op1(e11,e13) = e11
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f500,plain,
( op1(e11,e13) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( spl0_31
<=> op1(e11,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f503,plain,
( op1(e11,e13) = e13
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f27,f493,f496,f499,f502]) ).
fof(f506,plain,
( spl0_32
<=> op1(e12,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( op1(e12,e10) = e10
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( spl0_33
<=> op1(e12,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( op1(e12,e10) = e11
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( spl0_34
<=> op1(e12,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f513,plain,
( op1(e12,e10) = e12
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( spl0_35
<=> op1(e12,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f516,plain,
( op1(e12,e10) = e13
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f28,f506,f509,f512,f515]) ).
fof(f519,plain,
( spl0_36
<=> op1(e12,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f520,plain,
( op1(e12,e11) = e10
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f523,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( spl0_38
<=> op1(e12,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f526,plain,
( op1(e12,e11) = e12
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f529,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f29,f519,f522,f525,f528]) ).
fof(f532,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f533,plain,
( op1(e12,e12) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f536,plain,
( op1(e12,e12) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f539,plain,
( op1(e12,e12) = e12
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( spl0_43
<=> op1(e12,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f542,plain,
( op1(e12,e12) = e13
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f30,f532,f535,f538,f541]) ).
fof(f545,plain,
( spl0_44
<=> op1(e12,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f546,plain,
( op1(e12,e13) = e10
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( spl0_45
<=> op1(e12,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f549,plain,
( op1(e12,e13) = e11
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f552,plain,
( op1(e12,e13) = e12
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( spl0_47
<=> op1(e12,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f555,plain,
( op1(e12,e13) = e13
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f31,f545,f548,f551,f554]) ).
fof(f558,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f559,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( spl0_49
<=> op1(e13,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f562,plain,
( op1(e13,e10) = e11
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( spl0_50
<=> op1(e13,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f565,plain,
( op1(e13,e10) = e12
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f568,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f571,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f574,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f575,plain,
( op1(e13,e11) = e11
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f578,plain,
( op1(e13,e11) = e12
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( spl0_55
<=> op1(e13,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f581,plain,
( op1(e13,e11) = e13
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f33,f571,f574,f577,f580]) ).
fof(f584,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f585,plain,
( op1(e13,e12) = e10
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f588,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f591,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( spl0_59
<=> op1(e13,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f594,plain,
( op1(e13,e12) = e13
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f597,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( op1(e13,e13) = e10
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f603,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f604,plain,
( op1(e13,e13) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f607,plain,
( op1(e13,e13) = e13
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f35,f597,f600,f603,f606]) ).
fof(f610,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f36,f402,f415,f428,f441]) ).
fof(f611,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f37,f402,f454,f506,f558]) ).
fof(f612,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f38,f405,f418,f431,f444]) ).
fof(f613,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f39,f405,f457,f509,f561]) ).
fof(f615,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f41,f408,f460,f512,f564]) ).
fof(f616,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f42,f411,f424,f437,f450]) ).
fof(f617,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f43,f411,f463,f515,f567]) ).
fof(f618,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f44,f454,f467,f480,f493]) ).
fof(f620,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f46,f457,f470,f483,f496]) ).
fof(f621,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f47,f418,f470,f522,f574]) ).
fof(f622,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f48,f460,f473,f486,f499]) ).
fof(f623,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f49,f421,f473,f525,f577]) ).
fof(f625,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f51,f424,f476,f528,f580]) ).
fof(f626,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f52,f506,f519,f532,f545]) ).
fof(f627,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f53,f428,f480,f532,f584]) ).
fof(f628,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f54,f509,f522,f535,f548]) ).
fof(f629,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f55,f431,f483,f535,f587]) ).
fof(f630,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f56,f512,f525,f538,f551]) ).
fof(f631,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f57,f434,f486,f538,f590]) ).
fof(f632,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f58,f515,f528,f541,f554]) ).
fof(f633,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f59,f437,f489,f541,f593]) ).
fof(f638,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f64,f564,f577,f590,f603]) ).
fof(f639,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f65,f447,f499,f551,f603]) ).
fof(f640,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f66,f567,f580,f593,f606]) ).
fof(f642,plain,
( spl0_64
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f643,plain,
( op2(e20,e20) = e20
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( spl0_65
<=> op2(e20,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f646,plain,
( op2(e20,e20) = e21
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( spl0_66
<=> op2(e20,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( op2(e20,e20) = e22
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f652,plain,
( op2(e20,e20) = e23
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f653,plain,
( op2(e20,e20) != e23
| spl0_67 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f655,plain,
( spl0_68
<=> op2(e20,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f656,plain,
( op2(e20,e21) = e20
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( spl0_69
<=> op2(e20,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f659,plain,
( op2(e20,e21) = e21
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( spl0_70
<=> op2(e20,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f662,plain,
( op2(e20,e21) = e22
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f665,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( spl0_68
| spl0_69
| spl0_70
| spl0_71 ),
inference(split_clause,[status(thm)],[f69,f655,f658,f661,f664]) ).
fof(f668,plain,
( spl0_72
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( op2(e20,e22) = e20
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( op2(e20,e22) = e21
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( spl0_74
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f675,plain,
( op2(e20,e22) = e22
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f678,plain,
( op2(e20,e22) = e23
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(split_clause,[status(thm)],[f70,f668,f671,f674,f677]) ).
fof(f681,plain,
( spl0_76
<=> op2(e20,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( op2(e20,e23) = e20
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,plain,
( spl0_77
<=> op2(e20,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f685,plain,
( op2(e20,e23) = e21
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( op2(e20,e23) = e22
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f689,plain,
( op2(e20,e23) != e22
| spl0_78 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( spl0_79
<=> op2(e20,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f691,plain,
( op2(e20,e23) = e23
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f694,plain,
( spl0_80
<=> op2(e21,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f695,plain,
( op2(e21,e20) = e20
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( spl0_81
<=> op2(e21,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f698,plain,
( op2(e21,e20) = e21
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f701,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( spl0_83
<=> op2(e21,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f704,plain,
( op2(e21,e20) = e23
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( spl0_80
| spl0_81
| spl0_82
| spl0_83 ),
inference(split_clause,[status(thm)],[f72,f694,f697,f700,f703]) ).
fof(f707,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f708,plain,
( op2(e21,e21) = e20
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( spl0_85
<=> op2(e21,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f711,plain,
( op2(e21,e21) = e21
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( spl0_86
<=> op2(e21,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f714,plain,
( op2(e21,e21) = e22
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( spl0_87
<=> op2(e21,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f717,plain,
( op2(e21,e21) = e23
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f718,plain,
( op2(e21,e21) != e23
| spl0_87 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( spl0_84
| spl0_85
| spl0_86
| spl0_87 ),
inference(split_clause,[status(thm)],[f73,f707,f710,f713,f716]) ).
fof(f720,plain,
( spl0_88
<=> op2(e21,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( op2(e21,e22) = e20
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f724,plain,
( op2(e21,e22) = e21
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( spl0_90
<=> op2(e21,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f727,plain,
( op2(e21,e22) = e22
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( spl0_91
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( op2(e21,e22) = e23
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f733,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f734,plain,
( op2(e21,e23) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( spl0_93
<=> op2(e21,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op2(e21,e23) = e21
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( op2(e21,e23) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( spl0_95
<=> op2(e21,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f743,plain,
( op2(e21,e23) = e23
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( spl0_92
| spl0_93
| spl0_94
| spl0_95 ),
inference(split_clause,[status(thm)],[f75,f733,f736,f739,f742]) ).
fof(f746,plain,
( spl0_96
<=> op2(e22,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f747,plain,
( op2(e22,e20) = e20
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( spl0_97
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f750,plain,
( op2(e22,e20) = e21
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f753,plain,
( op2(e22,e20) = e22
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f756,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( spl0_96
| spl0_97
| spl0_98
| spl0_99 ),
inference(split_clause,[status(thm)],[f76,f746,f749,f752,f755]) ).
fof(f759,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f760,plain,
( op2(e22,e21) = e20
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f763,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( spl0_102
<=> op2(e22,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f766,plain,
( op2(e22,e21) = e22
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f769,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( spl0_100
| spl0_101
| spl0_102
| spl0_103 ),
inference(split_clause,[status(thm)],[f77,f759,f762,f765,f768]) ).
fof(f772,plain,
( spl0_104
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f773,plain,
( op2(e22,e22) = e20
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( spl0_105
<=> op2(e22,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( op2(e22,e22) = e21
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( spl0_106
<=> op2(e22,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f779,plain,
( op2(e22,e22) = e22
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,plain,
( spl0_107
<=> op2(e22,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f782,plain,
( op2(e22,e22) = e23
| ~ spl0_107 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(split_clause,[status(thm)],[f78,f772,f775,f778,f781]) ).
fof(f785,plain,
( spl0_108
<=> op2(e22,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f786,plain,
( op2(e22,e23) = e20
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( spl0_109
<=> op2(e22,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f789,plain,
( op2(e22,e23) = e21
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f792,plain,
( op2(e22,e23) = e22
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( spl0_111
<=> op2(e22,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f795,plain,
( op2(e22,e23) = e23
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,plain,
( spl0_108
| spl0_109
| spl0_110
| spl0_111 ),
inference(split_clause,[status(thm)],[f79,f785,f788,f791,f794]) ).
fof(f798,plain,
( spl0_112
<=> op2(e23,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f799,plain,
( op2(e23,e20) = e20
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( spl0_113
<=> op2(e23,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f802,plain,
( op2(e23,e20) = e21
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( spl0_114
<=> op2(e23,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f805,plain,
( op2(e23,e20) = e22
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f808,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,plain,
( spl0_112
| spl0_113
| spl0_114
| spl0_115 ),
inference(split_clause,[status(thm)],[f80,f798,f801,f804,f807]) ).
fof(f811,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f812,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,plain,
( spl0_117
<=> op2(e23,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f815,plain,
( op2(e23,e21) = e21
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( spl0_118
<=> op2(e23,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f818,plain,
( op2(e23,e21) = e22
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,plain,
( spl0_119
<=> op2(e23,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f821,plain,
( op2(e23,e21) = e23
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f81,f811,f814,f817,f820]) ).
fof(f827,plain,
( spl0_121
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f828,plain,
( op2(e23,e22) = e21
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( spl0_122
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f831,plain,
( op2(e23,e22) = e22
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( spl0_123
<=> op2(e23,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f834,plain,
( op2(e23,e22) = e23
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f837,plain,
( spl0_124
<=> op2(e23,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f838,plain,
( op2(e23,e23) = e20
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( spl0_125
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f843,plain,
( spl0_126
<=> op2(e23,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f844,plain,
( op2(e23,e23) = e22
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( spl0_127
<=> op2(e23,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f847,plain,
( op2(e23,e23) = e23
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f850,plain,
( spl0_64
| spl0_68
| spl0_72
| spl0_76 ),
inference(split_clause,[status(thm)],[f84,f642,f655,f668,f681]) ).
fof(f851,plain,
( spl0_64
| spl0_80
| spl0_96
| spl0_112 ),
inference(split_clause,[status(thm)],[f85,f642,f694,f746,f798]) ).
fof(f852,plain,
( spl0_65
| spl0_69
| spl0_73
| spl0_77 ),
inference(split_clause,[status(thm)],[f86,f645,f658,f671,f684]) ).
fof(f853,plain,
( spl0_65
| spl0_81
| spl0_97
| spl0_113 ),
inference(split_clause,[status(thm)],[f87,f645,f697,f749,f801]) ).
fof(f855,plain,
( spl0_66
| spl0_82
| spl0_98
| spl0_114 ),
inference(split_clause,[status(thm)],[f89,f648,f700,f752,f804]) ).
fof(f856,plain,
( spl0_67
| spl0_71
| spl0_75
| spl0_79 ),
inference(split_clause,[status(thm)],[f90,f651,f664,f677,f690]) ).
fof(f857,plain,
( spl0_67
| spl0_83
| spl0_99
| spl0_115 ),
inference(split_clause,[status(thm)],[f91,f651,f703,f755,f807]) ).
fof(f858,plain,
( spl0_80
| spl0_84
| spl0_88
| spl0_92 ),
inference(split_clause,[status(thm)],[f92,f694,f707,f720,f733]) ).
fof(f860,plain,
( spl0_81
| spl0_85
| spl0_89
| spl0_93 ),
inference(split_clause,[status(thm)],[f94,f697,f710,f723,f736]) ).
fof(f861,plain,
( spl0_69
| spl0_85
| spl0_101
| spl0_117 ),
inference(split_clause,[status(thm)],[f95,f658,f710,f762,f814]) ).
fof(f862,plain,
( spl0_82
| spl0_86
| spl0_90
| spl0_94 ),
inference(split_clause,[status(thm)],[f96,f700,f713,f726,f739]) ).
fof(f863,plain,
( spl0_70
| spl0_86
| spl0_102
| spl0_118 ),
inference(split_clause,[status(thm)],[f97,f661,f713,f765,f817]) ).
fof(f864,plain,
( spl0_83
| spl0_87
| spl0_91
| spl0_95 ),
inference(split_clause,[status(thm)],[f98,f703,f716,f729,f742]) ).
fof(f865,plain,
( spl0_71
| spl0_87
| spl0_103
| spl0_119 ),
inference(split_clause,[status(thm)],[f99,f664,f716,f768,f820]) ).
fof(f869,plain,
( spl0_73
| spl0_89
| spl0_105
| spl0_121 ),
inference(split_clause,[status(thm)],[f103,f671,f723,f775,f827]) ).
fof(f870,plain,
( spl0_98
| spl0_102
| spl0_106
| spl0_110 ),
inference(split_clause,[status(thm)],[f104,f752,f765,f778,f791]) ).
fof(f871,plain,
( spl0_74
| spl0_90
| spl0_106
| spl0_122 ),
inference(split_clause,[status(thm)],[f105,f674,f726,f778,f830]) ).
fof(f872,plain,
( spl0_99
| spl0_103
| spl0_107
| spl0_111 ),
inference(split_clause,[status(thm)],[f106,f755,f768,f781,f794]) ).
fof(f875,plain,
( spl0_76
| spl0_92
| spl0_108
| spl0_124 ),
inference(split_clause,[status(thm)],[f109,f681,f733,f785,f837]) ).
fof(f876,plain,
( spl0_113
| spl0_117
| spl0_121
| spl0_125 ),
inference(split_clause,[status(thm)],[f110,f801,f814,f827,f840]) ).
fof(f878,plain,
( spl0_114
| spl0_118
| spl0_122
| spl0_126 ),
inference(split_clause,[status(thm)],[f112,f804,f817,f830,f843]) ).
fof(f880,plain,
( spl0_115
| spl0_119
| spl0_123
| spl0_127 ),
inference(split_clause,[status(thm)],[f114,f807,f820,f833,f846]) ).
fof(f881,plain,
( spl0_79
| spl0_95
| spl0_111
| spl0_127 ),
inference(split_clause,[status(thm)],[f115,f690,f742,f794,f846]) ).
fof(f882,plain,
( spl0_128
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f885,plain,
( spl0_129
<=> op1(op1(e13,e10),op1(e13,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f886,plain,
( op1(op1(e13,e10),op1(e13,e10)) = e10
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( spl0_128
| spl0_129 ),
inference(split_clause,[status(thm)],[f242,f882,f885]) ).
fof(f889,plain,
( spl0_130
<=> op1(op1(e13,e11),op1(e13,e11)) = e11 ),
introduced(split_symbol_definition) ).
fof(f890,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e11
| ~ spl0_130 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f891,plain,
( op1(op1(e13,e11),op1(e13,e11)) != e11
| spl0_130 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( spl0_128
| spl0_130 ),
inference(split_clause,[status(thm)],[f243,f882,f889]) ).
fof(f893,plain,
( spl0_131
<=> op1(op1(e13,e12),op1(e13,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f894,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e12
| ~ spl0_131 ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,plain,
( spl0_128
| spl0_131 ),
inference(split_clause,[status(thm)],[f244,f882,f893]) ).
fof(f897,plain,
( spl0_132
<=> op1(op1(e13,e13),op1(e13,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f898,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| ~ spl0_132 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,plain,
( spl0_128
| spl0_132 ),
inference(split_clause,[status(thm)],[f245,f882,f897]) ).
fof(f901,plain,
( spl0_133
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f904,plain,
( spl0_134
<=> op2(op2(e23,e20),op2(e23,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f905,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e20
| ~ spl0_134 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( spl0_133
| spl0_134 ),
inference(split_clause,[status(thm)],[f248,f901,f904]) ).
fof(f908,plain,
( spl0_135
<=> op2(op2(e23,e21),op2(e23,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f909,plain,
( op2(op2(e23,e21),op2(e23,e21)) = e21
| ~ spl0_135 ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f912,plain,
( spl0_136
<=> op2(op2(e23,e22),op2(e23,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f913,plain,
( op2(op2(e23,e22),op2(e23,e22)) = e22
| ~ spl0_136 ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( spl0_133
| spl0_136 ),
inference(split_clause,[status(thm)],[f250,f901,f912]) ).
fof(f916,plain,
( spl0_137
<=> op2(op2(e23,e23),op2(e23,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f917,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| ~ spl0_137 ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,plain,
( spl0_133
| spl0_137 ),
inference(split_clause,[status(thm)],[f251,f901,f916]) ).
fof(f920,plain,
( spl0_138
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f922,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl0_138 ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,plain,
( spl0_139
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f925,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl0_139 ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( spl0_140
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f928,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl0_140 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,plain,
( spl0_141
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f931,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl0_141 ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,plain,
( spl0_142
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f934,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl0_142 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,plain,
( spl0_143
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f937,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl0_143 ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,plain,
( spl0_144
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f940,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl0_144 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,plain,
( spl0_145
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f943,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl0_145 ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f947,plain,
( spl0_147
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f949,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl0_147 ),
inference(component_clause,[status(thm)],[f947]) ).
fof(f953,plain,
( spl0_149
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f955,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl0_149 ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f956,plain,
( spl0_150
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f958,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl0_150 ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,plain,
( spl0_151
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f961,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl0_151 ),
inference(component_clause,[status(thm)],[f959]) ).
fof(f962,plain,
( spl0_152
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f964,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl0_152 ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,plain,
( spl0_153
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f967,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl0_153 ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,plain,
( spl0_154
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f971,plain,
( spl0_155
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f974,plain,
( spl0_156
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f981,plain,
( spl0_158
<=> h1(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f983,plain,
( h1(e11) != e23
| spl0_158 ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f1002,plain,
( spl0_164
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1004,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl0_164 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1014,plain,
( spl0_168
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1016,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl0_168 ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1023,plain,
( spl0_171
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1025,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl0_171 ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,plain,
( spl0_172
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1028,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl0_172 ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1032,plain,
( spl0_174
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1034,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl0_174 ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1038,plain,
( spl0_176
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1040,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl0_176 ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,plain,
( spl0_177
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f1044,plain,
( spl0_178
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f1047,plain,
( spl0_179
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f1054,plain,
( spl0_181
<=> h2(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1056,plain,
( h2(e11) != e23
| spl0_181 ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1058,plain,
( spl0_182
<=> h2(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f1059,plain,
( h2(e12) = e23
| ~ spl0_182 ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1060,plain,
( h2(e12) != e23
| spl0_182 ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1066,plain,
( spl0_184
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1068,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl0_184 ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,plain,
( spl0_185
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1071,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl0_185 ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1072,plain,
( spl0_186
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1074,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl0_186 ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1075,plain,
( spl0_187
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1077,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl0_187 ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,plain,
( spl0_188
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1080,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl0_188 ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( spl0_189
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1083,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl0_189 ),
inference(component_clause,[status(thm)],[f1081]) ).
fof(f1084,plain,
( spl0_190
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1086,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl0_190 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1087,plain,
( spl0_191
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1089,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl0_191 ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1090,plain,
( spl0_192
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1092,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl0_192 ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1093,plain,
( spl0_193
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1095,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl0_193 ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1096,plain,
( spl0_194
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1098,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl0_194 ),
inference(component_clause,[status(thm)],[f1096]) ).
fof(f1099,plain,
( spl0_195
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1100,plain,
( h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
| ~ spl0_195 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1101,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl0_195 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1102,plain,
( spl0_196
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1104,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl0_196 ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,plain,
( spl0_197
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1107,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl0_197 ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1108,plain,
( spl0_198
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1110,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl0_198 ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,plain,
( spl0_199
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1113,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl0_199 ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,plain,
( spl0_200
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1117,plain,
( spl0_201
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f1120,plain,
( spl0_202
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1127,plain,
( spl0_204
<=> h3(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1128,plain,
( h3(e11) = e23
| ~ spl0_204 ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1129,plain,
( h3(e11) != e23
| spl0_204 ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1130,plain,
( ~ spl0_184
| ~ spl0_185
| ~ spl0_186
| ~ spl0_187
| ~ spl0_188
| ~ spl0_189
| ~ spl0_190
| ~ spl0_191
| ~ spl0_192
| ~ spl0_193
| ~ spl0_194
| ~ spl0_195
| ~ spl0_196
| ~ spl0_197
| ~ spl0_198
| ~ spl0_199
| spl0_200
| spl0_201
| spl0_202
| ~ spl0_204 ),
inference(split_clause,[status(thm)],[f297,f1066,f1069,f1072,f1075,f1078,f1081,f1084,f1087,f1090,f1093,f1096,f1099,f1102,f1105,f1108,f1111,f1114,f1117,f1120,f1127]) ).
fof(f1139,plain,
( spl0_207
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1141,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl0_207 ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1142,plain,
( spl0_208
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1144,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl0_208 ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,plain,
( spl0_209
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1147,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl0_209 ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,plain,
( spl0_210
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1150,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl0_210 ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1154,plain,
( spl0_212
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1155,plain,
( h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
| ~ spl0_212 ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1156,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl0_212 ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1157,plain,
( spl0_213
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1159,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl0_213 ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1160,plain,
( spl0_214
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1162,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl0_214 ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1166,plain,
( spl0_216
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1168,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl0_216 ),
inference(component_clause,[status(thm)],[f1166]) ).
fof(f1172,plain,
( spl0_218
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1173,plain,
( h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
| ~ spl0_218 ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1174,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl0_218 ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1175,plain,
( spl0_219
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1177,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl0_219 ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1178,plain,
( spl0_220
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1180,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl0_220 ),
inference(component_clause,[status(thm)],[f1178]) ).
fof(f1181,plain,
( spl0_221
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1183,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl0_221 ),
inference(component_clause,[status(thm)],[f1181]) ).
fof(f1184,plain,
( spl0_222
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1186,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl0_222 ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,plain,
( spl0_223
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f1190,plain,
( spl0_224
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1193,plain,
( spl0_225
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1208,plain,
( spl0_229
<=> h4(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1210,plain,
( h4(e13) != e23
| spl0_229 ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1212,plain,
( spl0_230
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f1215,plain,
( spl0_231
<=> op1(op1(e12,e10),op1(e12,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1216,plain,
( op1(op1(e12,e10),op1(e12,e10)) = e10
| ~ spl0_231 ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1218,plain,
( ~ spl0_128
| spl0_230
| spl0_231 ),
inference(split_clause,[status(thm)],[f307,f882,f1212,f1215]) ).
fof(f1219,plain,
( spl0_232
<=> op1(op1(e12,e11),op1(e12,e11)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1220,plain,
( op1(op1(e12,e11),op1(e12,e11)) = e11
| ~ spl0_232 ),
inference(component_clause,[status(thm)],[f1219]) ).
fof(f1222,plain,
( ~ spl0_128
| spl0_230
| spl0_232 ),
inference(split_clause,[status(thm)],[f308,f882,f1212,f1219]) ).
fof(f1223,plain,
( spl0_233
<=> op1(op1(e12,e12),op1(e12,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1224,plain,
( op1(op1(e12,e12),op1(e12,e12)) = e12
| ~ spl0_233 ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1226,plain,
( ~ spl0_128
| spl0_230
| spl0_233 ),
inference(split_clause,[status(thm)],[f309,f882,f1212,f1223]) ).
fof(f1227,plain,
( spl0_234
<=> op1(op1(e12,e13),op1(e12,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1228,plain,
( op1(op1(e12,e13),op1(e12,e13)) = e13
| ~ spl0_234 ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1230,plain,
( ~ spl0_128
| spl0_230
| spl0_234 ),
inference(split_clause,[status(thm)],[f310,f882,f1212,f1227]) ).
fof(f1231,plain,
( spl0_235
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1234,plain,
( spl0_236
<=> op2(op2(e22,e20),op2(e22,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1235,plain,
( op2(op2(e22,e20),op2(e22,e20)) = e20
| ~ spl0_236 ),
inference(component_clause,[status(thm)],[f1234]) ).
fof(f1237,plain,
( ~ spl0_133
| spl0_235
| spl0_236 ),
inference(split_clause,[status(thm)],[f314,f901,f1231,f1234]) ).
fof(f1238,plain,
( spl0_237
<=> op2(op2(e22,e21),op2(e22,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1239,plain,
( op2(op2(e22,e21),op2(e22,e21)) = e21
| ~ spl0_237 ),
inference(component_clause,[status(thm)],[f1238]) ).
fof(f1242,plain,
( spl0_238
<=> op2(op2(e22,e22),op2(e22,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1243,plain,
( op2(op2(e22,e22),op2(e22,e22)) = e22
| ~ spl0_238 ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1246,plain,
( spl0_239
<=> op2(op2(e22,e23),op2(e22,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1247,plain,
( op2(op2(e22,e23),op2(e22,e23)) = e23
| ~ spl0_239 ),
inference(component_clause,[status(thm)],[f1246]) ).
fof(f1249,plain,
( ~ spl0_133
| spl0_235
| spl0_239 ),
inference(split_clause,[status(thm)],[f317,f901,f1231,f1246]) ).
fof(f1250,plain,
( spl0_240
<=> h1(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1252,plain,
( h1(e10) != e20
| spl0_240 ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1254,plain,
( spl0_241
<=> h1(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f1255,plain,
( h1(e11) = e20
| ~ spl0_241 ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1256,plain,
( h1(e11) != e20
| spl0_241 ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1258,plain,
( spl0_242
<=> h1(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f1260,plain,
( h1(e12) != e20
| spl0_242 ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1262,plain,
( spl0_243
<=> h1(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1264,plain,
( h1(e13) != e20
| spl0_243 ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,plain,
( ~ spl0_154
| ~ spl0_243 ),
inference(split_clause,[status(thm)],[f322,f968,f1262]) ).
fof(f1270,plain,
( spl0_245
<=> h1(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1272,plain,
( h1(e11) != e21
| spl0_245 ),
inference(component_clause,[status(thm)],[f1270]) ).
fof(f1273,plain,
( ~ spl0_155
| ~ spl0_245 ),
inference(split_clause,[status(thm)],[f325,f971,f1270]) ).
fof(f1274,plain,
( spl0_246
<=> h1(e12) = e21 ),
introduced(split_symbol_definition) ).
fof(f1276,plain,
( h1(e12) != e21
| spl0_246 ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1277,plain,
( ~ spl0_155
| ~ spl0_246 ),
inference(split_clause,[status(thm)],[f326,f971,f1274]) ).
fof(f1282,plain,
( spl0_248
<=> h1(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f1283,plain,
( h1(e10) = e22
| ~ spl0_248 ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1284,plain,
( h1(e10) != e22
| spl0_248 ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1285,plain,
( ~ spl0_156
| ~ spl0_248 ),
inference(split_clause,[status(thm)],[f329,f974,f1282]) ).
fof(f1298,plain,
( spl0_252
<=> h2(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1300,plain,
( h2(e10) != e20
| spl0_252 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,plain,
( ~ spl0_177
| ~ spl0_252 ),
inference(split_clause,[status(thm)],[f334,f1041,f1298]) ).
fof(f1314,plain,
( spl0_256
<=> h2(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f1316,plain,
( h2(e10) != e21
| spl0_256 ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1318,plain,
( spl0_257
<=> h2(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1320,plain,
( h2(e11) != e21
| spl0_257 ),
inference(component_clause,[status(thm)],[f1318]) ).
fof(f1326,plain,
( spl0_259
<=> h2(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1328,plain,
( h2(e13) != e21
| spl0_259 ),
inference(component_clause,[status(thm)],[f1326]) ).
fof(f1329,plain,
( ~ spl0_178
| ~ spl0_259 ),
inference(split_clause,[status(thm)],[f342,f1044,f1326]) ).
fof(f1330,plain,
( spl0_260
<=> h2(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f1332,plain,
( h2(e10) != e22
| spl0_260 ),
inference(component_clause,[status(thm)],[f1330]) ).
fof(f1334,plain,
( spl0_261
<=> h2(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f1336,plain,
( h2(e11) != e22
| spl0_261 ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1337,plain,
( ~ spl0_179
| ~ spl0_261 ),
inference(split_clause,[status(thm)],[f345,f1047,f1334]) ).
fof(f1338,plain,
( spl0_262
<=> h2(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1340,plain,
( h2(e12) != e22
| spl0_262 ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1341,plain,
( ~ spl0_179
| ~ spl0_262 ),
inference(split_clause,[status(thm)],[f346,f1047,f1338]) ).
fof(f1346,plain,
( spl0_264
<=> h3(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1348,plain,
( h3(e10) != e20
| spl0_264 ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1349,plain,
( ~ spl0_200
| ~ spl0_264 ),
inference(split_clause,[status(thm)],[f349,f1114,f1346]) ).
fof(f1350,plain,
( spl0_265
<=> h3(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f1353,plain,
( ~ spl0_200
| ~ spl0_265 ),
inference(split_clause,[status(thm)],[f350,f1114,f1350]) ).
fof(f1354,plain,
( spl0_266
<=> h3(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f1357,plain,
( ~ spl0_200
| ~ spl0_266 ),
inference(split_clause,[status(thm)],[f351,f1114,f1354]) ).
fof(f1358,plain,
( spl0_267
<=> h3(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1361,plain,
( ~ spl0_200
| ~ spl0_267 ),
inference(split_clause,[status(thm)],[f352,f1114,f1358]) ).
fof(f1366,plain,
( spl0_269
<=> h3(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1368,plain,
( h3(e11) != e21
| spl0_269 ),
inference(component_clause,[status(thm)],[f1366]) ).
fof(f1369,plain,
( ~ spl0_201
| ~ spl0_269 ),
inference(split_clause,[status(thm)],[f355,f1117,f1366]) ).
fof(f1370,plain,
( spl0_270
<=> h3(e12) = e21 ),
introduced(split_symbol_definition) ).
fof(f1371,plain,
( h3(e12) = e21
| ~ spl0_270 ),
inference(component_clause,[status(thm)],[f1370]) ).
fof(f1372,plain,
( h3(e12) != e21
| spl0_270 ),
inference(component_clause,[status(thm)],[f1370]) ).
fof(f1373,plain,
( ~ spl0_201
| ~ spl0_270 ),
inference(split_clause,[status(thm)],[f356,f1117,f1370]) ).
fof(f1390,plain,
( spl0_275
<=> h3(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1392,plain,
( h3(e13) != e22
| spl0_275 ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1393,plain,
( ~ spl0_202
| ~ spl0_275 ),
inference(split_clause,[status(thm)],[f362,f1120,f1390]) ).
fof(f1394,plain,
( spl0_276
<=> h4(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1396,plain,
( h4(e10) != e20
| spl0_276 ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1397,plain,
( ~ spl0_223
| ~ spl0_276 ),
inference(split_clause,[status(thm)],[f364,f1187,f1394]) ).
fof(f1402,plain,
( spl0_278
<=> h4(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f1403,plain,
( h4(e12) = e20
| ~ spl0_278 ),
inference(component_clause,[status(thm)],[f1402]) ).
fof(f1414,plain,
( spl0_281
<=> h4(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1416,plain,
( h4(e11) != e21
| spl0_281 ),
inference(component_clause,[status(thm)],[f1414]) ).
fof(f1417,plain,
( ~ spl0_224
| ~ spl0_281 ),
inference(split_clause,[status(thm)],[f370,f1190,f1414]) ).
fof(f1434,plain,
( spl0_286
<=> h4(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1436,plain,
( h4(e12) != e22
| spl0_286 ),
inference(component_clause,[status(thm)],[f1434]) ).
fof(f1437,plain,
( ~ spl0_225
| ~ spl0_286 ),
inference(split_clause,[status(thm)],[f376,f1193,f1434]) ).
fof(f1442,plain,
( spl0_288
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1445,plain,
( spl0_289
<=> op1(op1(e11,e10),op1(e11,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1446,plain,
( op1(op1(e11,e10),op1(e11,e10)) = e10
| ~ spl0_289 ),
inference(component_clause,[status(thm)],[f1445]) ).
fof(f1448,plain,
( ~ spl0_230
| spl0_288
| spl0_289 ),
inference(split_clause,[status(thm)],[f381,f1212,f1442,f1445]) ).
fof(f1449,plain,
( spl0_290
<=> op1(op1(e11,e11),op1(e11,e11)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1450,plain,
( op1(op1(e11,e11),op1(e11,e11)) = e11
| ~ spl0_290 ),
inference(component_clause,[status(thm)],[f1449]) ).
fof(f1452,plain,
( ~ spl0_230
| spl0_288
| spl0_290 ),
inference(split_clause,[status(thm)],[f382,f1212,f1442,f1449]) ).
fof(f1453,plain,
( spl0_291
<=> op1(op1(e11,e12),op1(e11,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1454,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e12
| ~ spl0_291 ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1456,plain,
( ~ spl0_230
| spl0_288
| spl0_291 ),
inference(split_clause,[status(thm)],[f383,f1212,f1442,f1453]) ).
fof(f1457,plain,
( spl0_292
<=> op1(op1(e11,e13),op1(e11,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1458,plain,
( op1(op1(e11,e13),op1(e11,e13)) = e13
| ~ spl0_292 ),
inference(component_clause,[status(thm)],[f1457]) ).
fof(f1460,plain,
( ~ spl0_230
| spl0_288
| spl0_292 ),
inference(split_clause,[status(thm)],[f384,f1212,f1442,f1457]) ).
fof(f1461,plain,
( spl0_293
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1464,plain,
( spl0_294
<=> op2(op2(e21,e20),op2(e21,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1465,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e20
| ~ spl0_294 ),
inference(component_clause,[status(thm)],[f1464]) ).
fof(f1467,plain,
( ~ spl0_235
| spl0_293
| spl0_294 ),
inference(split_clause,[status(thm)],[f388,f1231,f1461,f1464]) ).
fof(f1468,plain,
( spl0_295
<=> op2(op2(e21,e21),op2(e21,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1469,plain,
( op2(op2(e21,e21),op2(e21,e21)) = e21
| ~ spl0_295 ),
inference(component_clause,[status(thm)],[f1468]) ).
fof(f1471,plain,
( ~ spl0_235
| spl0_293
| spl0_295 ),
inference(split_clause,[status(thm)],[f389,f1231,f1461,f1468]) ).
fof(f1472,plain,
( spl0_296
<=> op2(op2(e21,e22),op2(e21,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1473,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e22
| ~ spl0_296 ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,plain,
( ~ spl0_235
| spl0_293
| spl0_296 ),
inference(split_clause,[status(thm)],[f390,f1231,f1461,f1472]) ).
fof(f1476,plain,
( spl0_297
<=> op2(op2(e21,e23),op2(e21,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1477,plain,
( op2(op2(e21,e23),op2(e21,e23)) = e23
| ~ spl0_297 ),
inference(component_clause,[status(thm)],[f1476]) ).
fof(f1479,plain,
( ~ spl0_235
| spl0_293
| spl0_297 ),
inference(split_clause,[status(thm)],[f391,f1231,f1461,f1476]) ).
fof(f1480,plain,
( spl0_298
<=> op1(op1(e10,e10),op1(e10,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1481,plain,
( op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ spl0_298 ),
inference(component_clause,[status(thm)],[f1480]) ).
fof(f1483,plain,
( ~ spl0_288
| spl0_298 ),
inference(split_clause,[status(thm)],[f393,f1442,f1480]) ).
fof(f1488,plain,
( spl0_300
<=> op1(op1(e10,e12),op1(e10,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1489,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e12
| ~ spl0_300 ),
inference(component_clause,[status(thm)],[f1488]) ).
fof(f1491,plain,
( ~ spl0_288
| spl0_300 ),
inference(split_clause,[status(thm)],[f395,f1442,f1488]) ).
fof(f1492,plain,
( spl0_301
<=> op1(op1(e10,e13),op1(e10,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1493,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e13
| ~ spl0_301 ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1495,plain,
( ~ spl0_288
| spl0_301 ),
inference(split_clause,[status(thm)],[f396,f1442,f1492]) ).
fof(f1496,plain,
( spl0_302
<=> op2(op2(e20,e20),op2(e20,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1499,plain,
( ~ spl0_293
| spl0_302 ),
inference(split_clause,[status(thm)],[f398,f1461,f1496]) ).
fof(f1500,plain,
( spl0_303
<=> op2(op2(e20,e21),op2(e20,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1501,plain,
( op2(op2(e20,e21),op2(e20,e21)) = e21
| ~ spl0_303 ),
inference(component_clause,[status(thm)],[f1500]) ).
fof(f1503,plain,
( ~ spl0_293
| spl0_303 ),
inference(split_clause,[status(thm)],[f399,f1461,f1500]) ).
fof(f1504,plain,
( spl0_304
<=> op2(op2(e20,e22),op2(e20,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1505,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e22
| ~ spl0_304 ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1507,plain,
( ~ spl0_293
| spl0_304 ),
inference(split_clause,[status(thm)],[f400,f1461,f1504]) ).
fof(f1508,plain,
( spl0_305
<=> op2(op2(e20,e23),op2(e20,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1509,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e23
| ~ spl0_305 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1510,plain,
( op2(op2(e20,e23),op2(e20,e23)) != e23
| spl0_305 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1511,plain,
( ~ spl0_293
| spl0_305 ),
inference(split_clause,[status(thm)],[f401,f1461,f1508]) ).
fof(f1520,plain,
( op2(e22,e20) != e23
| ~ spl0_111 ),
inference(backward_demodulation,[status(thm)],[f795,f202]) ).
fof(f1521,plain,
( op2(e21,e23) != e23
| ~ spl0_111 ),
inference(backward_demodulation,[status(thm)],[f795,f185]) ).
fof(f1556,plain,
( e23 = e22
| ~ spl0_95
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f743,f740]) ).
fof(f1557,plain,
( $false
| ~ spl0_95
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f1556,f223]) ).
fof(f1558,plain,
( ~ spl0_95
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f1557]) ).
fof(f1560,plain,
( e23 = e22
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f691,f688]) ).
fof(f1561,plain,
( $false
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f1560,f223]) ).
fof(f1562,plain,
( ~ spl0_79
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f1561]) ).
fof(f1563,plain,
( e23 = e22
| ~ spl0_123
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f834,f831]) ).
fof(f1564,plain,
( $false
| ~ spl0_123
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f1563,f223]) ).
fof(f1565,plain,
( ~ spl0_123
| ~ spl0_122 ),
inference(contradiction_clause,[status(thm)],[f1564]) ).
fof(f1572,plain,
( e23 = e22
| ~ spl0_115
| ~ spl0_114 ),
inference(forward_demodulation,[status(thm)],[f808,f805]) ).
fof(f1573,plain,
( $false
| ~ spl0_115
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[status(thm)],[f1572,f223]) ).
fof(f1574,plain,
( ~ spl0_115
| ~ spl0_114 ),
inference(contradiction_clause,[status(thm)],[f1573]) ).
fof(f1581,plain,
( e21 = e20
| ~ spl0_93
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f737,f734]) ).
fof(f1582,plain,
( $false
| ~ spl0_93
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f1581,f218]) ).
fof(f1583,plain,
( ~ spl0_93
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f1582]) ).
fof(f1587,plain,
e10 = op1(e13,e11),
inference(backward_demodulation,[status(thm)],[f253,f252]) ).
fof(f1588,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| spl0_153 ),
inference(backward_demodulation,[status(thm)],[f253,f967]) ).
fof(f1589,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| spl0_176 ),
inference(backward_demodulation,[status(thm)],[f253,f1040]) ).
fof(f1593,plain,
( h3(e11) != op2(h3(e13),h3(e13))
| spl0_199 ),
inference(backward_demodulation,[status(thm)],[f253,f1113]) ).
fof(f1594,plain,
( h4(e11) != op2(h4(e13),h4(e13))
| spl0_222 ),
inference(backward_demodulation,[status(thm)],[f253,f1186]) ).
fof(f1595,plain,
op1(e12,e13) != e11,
inference(backward_demodulation,[status(thm)],[f253,f139]) ).
fof(f1596,plain,
op1(e11,e13) != e11,
inference(backward_demodulation,[status(thm)],[f253,f138]) ).
fof(f1598,plain,
e12 = op1(op1(e13,e11),e13),
inference(forward_demodulation,[status(thm)],[f253,f254]) ).
fof(f1599,plain,
e20 = op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f256,f255]) ).
fof(f1600,plain,
( e20 = e21
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f815,f1599]) ).
fof(f1601,plain,
( $false
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f1600,f218]) ).
fof(f1602,plain,
~ spl0_117,
inference(contradiction_clause,[status(thm)],[f1601]) ).
fof(f1603,plain,
e22 = op2(op2(e23,e21),e23),
inference(forward_demodulation,[status(thm)],[f256,f257]) ).
fof(f1604,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e20)
| spl0_141 ),
inference(backward_demodulation,[status(thm)],[f258,f931]) ).
fof(f1605,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e20)
| spl0_145 ),
inference(backward_demodulation,[status(thm)],[f258,f943]) ).
fof(f1606,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e20)
| spl0_149 ),
inference(backward_demodulation,[status(thm)],[f258,f955]) ).
fof(f1607,plain,
( h1(op1(e13,e10)) != op2(e20,h1(e10))
| spl0_150 ),
inference(backward_demodulation,[status(thm)],[f258,f958]) ).
fof(f1608,plain,
( h1(op1(e13,e11)) != op2(e20,h1(e11))
| spl0_151 ),
inference(backward_demodulation,[status(thm)],[f258,f961]) ).
fof(f1609,plain,
( h1(op1(e13,e12)) != op2(e20,h1(e12))
| spl0_152 ),
inference(backward_demodulation,[status(thm)],[f258,f964]) ).
fof(f1610,plain,
h1(e10) = op2(e20,h1(e11)),
inference(backward_demodulation,[status(thm)],[f260,f259]) ).
fof(f1611,plain,
h1(e11) != op2(e20,e22),
inference(backward_demodulation,[status(thm)],[f260,f189]) ).
fof(f1612,plain,
h1(e11) != op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f260,f188]) ).
fof(f1613,plain,
h1(e11) != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f260,f165]) ).
fof(f1615,plain,
h1(e12) = op2(op2(e20,h1(e11)),e20),
inference(forward_demodulation,[status(thm)],[f260,f261]) ).
fof(f1616,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e21)
| spl0_164 ),
inference(backward_demodulation,[status(thm)],[f262,f1004]) ).
fof(f1617,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e21)
| spl0_168 ),
inference(backward_demodulation,[status(thm)],[f262,f1016]) ).
fof(f1618,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e21)
| spl0_172 ),
inference(backward_demodulation,[status(thm)],[f262,f1028]) ).
fof(f1620,plain,
( h2(op1(e13,e11)) != op2(e21,h2(e11))
| spl0_174 ),
inference(backward_demodulation,[status(thm)],[f262,f1034]) ).
fof(f1622,plain,
h2(e10) = op2(e21,h2(e11)),
inference(backward_demodulation,[status(thm)],[f264,f263]) ).
fof(f1623,plain,
h2(e11) != op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f264,f197]) ).
fof(f1624,plain,
op2(e21,e20) != h2(e11),
inference(backward_demodulation,[status(thm)],[f264,f194]) ).
fof(f1625,plain,
h2(e11) != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f264,f173]) ).
fof(f1626,plain,
op2(e20,e21) != h2(e11),
inference(backward_demodulation,[status(thm)],[f264,f170]) ).
fof(f1627,plain,
h2(e12) = op2(op2(e21,h2(e11)),e21),
inference(forward_demodulation,[status(thm)],[f264,f265]) ).
fof(f1628,plain,
( $false
| spl0_275 ),
inference(forward_subsumption_resolution,[status(thm)],[f266,f1392]) ).
fof(f1629,plain,
spl0_275,
inference(contradiction_clause,[status(thm)],[f1628]) ).
fof(f1630,plain,
h3(e10) = op2(e22,h3(e11)),
inference(backward_demodulation,[status(thm)],[f268,f267]) ).
fof(f1633,plain,
op2(e21,e22) != h3(e11),
inference(backward_demodulation,[status(thm)],[f268,f179]) ).
fof(f1634,plain,
op2(e20,e22) != h3(e11),
inference(backward_demodulation,[status(thm)],[f268,f177]) ).
fof(f1635,plain,
h3(e12) = op2(op2(e22,h3(e11)),e22),
inference(forward_demodulation,[status(thm)],[f268,f269]) ).
fof(f1638,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| spl0_210 ),
inference(backward_demodulation,[status(thm)],[f270,f1150]) ).
fof(f1639,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl0_214 ),
inference(backward_demodulation,[status(thm)],[f270,f1162]) ).
fof(f1641,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| spl0_218 ),
inference(backward_demodulation,[status(thm)],[f270,f1174]) ).
fof(f1642,plain,
( h4(op1(e13,e10)) != op2(e23,h4(e10))
| spl0_219 ),
inference(backward_demodulation,[status(thm)],[f270,f1177]) ).
fof(f1643,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| spl0_220 ),
inference(backward_demodulation,[status(thm)],[f270,f1180]) ).
fof(f1644,plain,
( h4(op1(e13,e12)) != op2(e23,h4(e12))
| spl0_221 ),
inference(backward_demodulation,[status(thm)],[f270,f1183]) ).
fof(f1645,plain,
h4(e10) = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f256,f271]) ).
fof(f1646,plain,
e22 = op2(h4(e10),e23),
inference(backward_demodulation,[status(thm)],[f1645,f1603]) ).
fof(f1647,plain,
( h1(e11) != op2(e20,h1(e13))
| spl0_153 ),
inference(forward_demodulation,[status(thm)],[f258,f1588]) ).
fof(f1648,plain,
( h1(e11) != op2(e20,e20)
| spl0_153 ),
inference(forward_demodulation,[status(thm)],[f258,f1647]) ).
fof(f1649,plain,
( h1(e11) != h1(e11)
| spl0_153 ),
inference(forward_demodulation,[status(thm)],[f260,f1648]) ).
fof(f1650,plain,
( $false
| spl0_153 ),
inference(trivial_equality_resolution,[status(esa)],[f1649]) ).
fof(f1651,plain,
spl0_153,
inference(contradiction_clause,[status(thm)],[f1650]) ).
fof(f1655,plain,
( h2(e11) != op2(e21,h2(e13))
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f262,f1589]) ).
fof(f1656,plain,
( h2(e11) != op2(e21,e21)
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f262,f1655]) ).
fof(f1657,plain,
( h2(e11) != h2(e11)
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f264,f1656]) ).
fof(f1658,plain,
( $false
| spl0_176 ),
inference(trivial_equality_resolution,[status(esa)],[f1657]) ).
fof(f1659,plain,
spl0_176,
inference(contradiction_clause,[status(thm)],[f1658]) ).
fof(f1663,plain,
( h4(e11) != op2(e23,h4(e13))
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f270,f1594]) ).
fof(f1664,plain,
( h4(e11) != op2(e23,e23)
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f270,f1663]) ).
fof(f1668,plain,
( h4(e10) = e20
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f1645,f812]) ).
fof(f1669,plain,
( $false
| spl0_276
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f1668,f1396]) ).
fof(f1670,plain,
( spl0_276
| ~ spl0_116 ),
inference(contradiction_clause,[status(thm)],[f1669]) ).
fof(f1675,plain,
( h3(e11) = e23
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f268,f782]) ).
fof(f1677,plain,
( h3(e12) = op2(op2(e22,e23),e22)
| ~ spl0_107 ),
inference(backward_demodulation,[status(thm)],[f1675,f1635]) ).
fof(f1682,plain,
( h3(op1(e11,e10)) != op2(e23,h3(e10))
| ~ spl0_107
| spl0_188 ),
inference(backward_demodulation,[status(thm)],[f1675,f1080]) ).
fof(f1686,plain,
( h3(op1(e11,e12)) != op2(e23,h3(e12))
| ~ spl0_107
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f1675,f1086]) ).
fof(f1687,plain,
( h3(op1(e11,e13)) != op2(e23,h3(e13))
| ~ spl0_107
| spl0_191 ),
inference(backward_demodulation,[status(thm)],[f1675,f1089]) ).
fof(f1691,plain,
( op2(e20,e22) != e23
| ~ spl0_91 ),
inference(backward_demodulation,[status(thm)],[f730,f176]) ).
fof(f1694,plain,
( op2(e20,e21) != e23
| ~ spl0_103 ),
inference(backward_demodulation,[status(thm)],[f769,f171]) ).
fof(f1696,plain,
( e23 = e22
| ~ spl0_91
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f730,f727]) ).
fof(f1697,plain,
( $false
| ~ spl0_91
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f1696,f223]) ).
fof(f1698,plain,
( ~ spl0_91
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f1697]) ).
fof(f1703,plain,
( e23 = e22
| ~ spl0_103
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f769,f766]) ).
fof(f1704,plain,
( $false
| ~ spl0_103
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f1703,f223]) ).
fof(f1705,plain,
( ~ spl0_103
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f1704]) ).
fof(f1707,plain,
( e23 = e22
| ~ spl0_99
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f756,f753]) ).
fof(f1708,plain,
( $false
| ~ spl0_99
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f1707,f223]) ).
fof(f1709,plain,
( ~ spl0_99
| ~ spl0_98 ),
inference(contradiction_clause,[status(thm)],[f1708]) ).
fof(f1710,plain,
( e22 = e21
| ~ spl0_106
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f779,f776]) ).
fof(f1711,plain,
( $false
| ~ spl0_106
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f1710,f221]) ).
fof(f1712,plain,
( ~ spl0_106
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f1711]) ).
fof(f1713,plain,
( e21 = e20
| ~ spl0_89
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f724,f721]) ).
fof(f1714,plain,
( $false
| ~ spl0_89
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f1713,f218]) ).
fof(f1715,plain,
( ~ spl0_89
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f1714]) ).
fof(f1716,plain,
( e21 = e20
| ~ spl0_73
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f672,f669]) ).
fof(f1717,plain,
( $false
| ~ spl0_73
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f1716,f218]) ).
fof(f1718,plain,
( ~ spl0_73
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f1717]) ).
fof(f1722,plain,
( e21 = e20
| ~ spl0_97
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f750,f747]) ).
fof(f1723,plain,
( $false
| ~ spl0_97
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f1722,f218]) ).
fof(f1724,plain,
( ~ spl0_97
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f1723]) ).
fof(f1725,plain,
( h2(e11) = e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f264,f717]) ).
fof(f1725_001,plain,
( h2(e11) = e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f264,f717]) ).
fof(f1737,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f256,f272]) ).
fof(f1738,plain,
( $false
| spl0_281 ),
inference(forward_subsumption_resolution,[status(thm)],[f1737,f1416]) ).
fof(f1739,plain,
spl0_281,
inference(contradiction_clause,[status(thm)],[f1738]) ).
fof(f1740,plain,
( h4(e11) != e21
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f256,f1664]) ).
fof(f1741,plain,
( ~ spl0_281
| spl0_222 ),
inference(split_clause,[status(thm)],[f1740,f1414,f1184]) ).
fof(f1746,plain,
h4(e12) = op2(op2(e23,e21),e23),
inference(forward_demodulation,[status(thm)],[f256,f273]) ).
fof(f1747,plain,
h4(e12) = op2(h4(e10),e23),
inference(forward_demodulation,[status(thm)],[f1645,f1746]) ).
fof(f1748,plain,
op2(e22,e23) != e21,
inference(forward_demodulation,[status(thm)],[f256,f187]) ).
fof(f1749,plain,
( e20 != op2(e22,e23)
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f773,f205]) ).
fof(f1750,plain,
op2(e21,e23) != e21,
inference(forward_demodulation,[status(thm)],[f256,f186]) ).
fof(f1754,plain,
op2(e23,e22) != e21,
inference(forward_demodulation,[status(thm)],[f256,f211]) ).
fof(f1758,plain,
op2(e22,e21) != h4(e10),
inference(forward_demodulation,[status(thm)],[f1645,f175]) ).
fof(f1759,plain,
op2(e21,e21) != h4(e10),
inference(forward_demodulation,[status(thm)],[f1645,f174]) ).
fof(f1762,plain,
op2(e23,e20) != h4(e10),
inference(forward_demodulation,[status(thm)],[f1645,f206]) ).
fof(f1763,plain,
op2(e23,e20) != e21,
inference(forward_demodulation,[status(thm)],[f256,f208]) ).
fof(f1764,plain,
h1(e11) != op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f260,f166]) ).
fof(f1765,plain,
e12 = op1(e10,e13),
inference(backward_demodulation,[status(thm)],[f1587,f1598]) ).
fof(f1766,plain,
e10 != op1(e13,e12),
inference(backward_demodulation,[status(thm)],[f1587,f161]) ).
fof(f1767,plain,
op1(e13,e10) != e10,
inference(backward_demodulation,[status(thm)],[f1587,f158]) ).
fof(f1768,plain,
op1(e12,e11) != e10,
inference(backward_demodulation,[status(thm)],[f1587,f127]) ).
fof(f1770,plain,
op1(e10,e11) != e10,
inference(backward_demodulation,[status(thm)],[f1587,f124]) ).
fof(f1772,plain,
( h1(e10) != op2(e20,h1(e11))
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f1587,f1608]) ).
fof(f1773,plain,
( e23 != op2(e23,e20)
| ~ spl0_83 ),
inference(backward_demodulation,[status(thm)],[f704,f168]) ).
fof(f1774,plain,
( e23 != op2(e21,e23)
| ~ spl0_83 ),
inference(backward_demodulation,[status(thm)],[f704,f196]) ).
fof(f1779,plain,
op2(e20,e21) != h4(e10),
inference(forward_demodulation,[status(thm)],[f1645,f172]) ).
fof(f1783,plain,
( e22 = e21
| ~ spl0_86
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f714,f711]) ).
fof(f1784,plain,
( $false
| ~ spl0_86
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f1783,f221]) ).
fof(f1785,plain,
( ~ spl0_86
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f1784]) ).
fof(f1789,plain,
( e21 = e20
| ~ spl0_81
| ~ spl0_80 ),
inference(forward_demodulation,[status(thm)],[f698,f695]) ).
fof(f1790,plain,
( $false
| ~ spl0_81
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[status(thm)],[f1789,f218]) ).
fof(f1791,plain,
( ~ spl0_81
| ~ spl0_80 ),
inference(contradiction_clause,[status(thm)],[f1790]) ).
fof(f1793,plain,
( h1(e11) = e23
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f260,f652]) ).
fof(f1796,plain,
( e23 != op2(e23,e20)
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f1793,f1764]) ).
fof(f1801,plain,
( h1(op1(e11,e10)) != op2(e23,h1(e10))
| ~ spl0_67
| spl0_142 ),
inference(backward_demodulation,[status(thm)],[f1793,f934]) ).
fof(f1807,plain,
( e22 = e21
| ~ spl0_66
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f649,f646]) ).
fof(f1808,plain,
( $false
| ~ spl0_66
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f1807,f221]) ).
fof(f1809,plain,
( ~ spl0_66
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f1808]) ).
fof(f1810,plain,
( e11 = e13
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f253,f607]) ).
fof(f1811,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f1810,f216]) ).
fof(f1812,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f1811]) ).
fof(f1820,plain,
( op1(e11,e13) != e13
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f555,f137]) ).
fof(f1824,plain,
( op1(e11,e10) != e13
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f503,f148]) ).
fof(f1838,plain,
( op1(e11,e12) != e13
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f594,f132]) ).
fof(f1840,plain,
( e10 = e13
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f1587,f581]) ).
fof(f1841,plain,
( $false
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f1840,f214]) ).
fof(f1842,plain,
~ spl0_55,
inference(contradiction_clause,[status(thm)],[f1841]) ).
fof(f1844,plain,
( h1(e13) != op2(e20,h1(e10))
| ~ spl0_51
| spl0_150 ),
inference(backward_demodulation,[status(thm)],[f568,f1607]) ).
fof(f1845,plain,
( e20 != op2(e20,h1(e10))
| ~ spl0_51
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f258,f1844]) ).
fof(f1850,plain,
( op1(e10,e10) != e13
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f568,f118]) ).
fof(f1851,plain,
( e11 = e12
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f253,f604]) ).
fof(f1852,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f1851,f215]) ).
fof(f1853,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f1852]) ).
fof(f1864,plain,
( e13 = e12
| ~ spl0_15
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f451,f448]) ).
fof(f1865,plain,
( $false
| ~ spl0_15
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f1864,f217]) ).
fof(f1866,plain,
( ~ spl0_15
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f1865]) ).
fof(f1867,plain,
( e21 != e21
| spl0_259 ),
inference(forward_demodulation,[status(thm)],[f262,f1328]) ).
fof(f1868,plain,
( $false
| spl0_259 ),
inference(trivial_equality_resolution,[status(esa)],[f1867]) ).
fof(f1869,plain,
spl0_259,
inference(contradiction_clause,[status(thm)],[f1868]) ).
fof(f1871,plain,
e20 = h4(e10),
inference(forward_demodulation,[status(thm)],[f1645,f1599]) ).
fof(f1872,plain,
op2(e23,e20) != e20,
inference(backward_demodulation,[status(thm)],[f1871,f1762]) ).
fof(f1873,plain,
op2(e22,e21) != e20,
inference(backward_demodulation,[status(thm)],[f1871,f1758]) ).
fof(f1874,plain,
h4(e12) = op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f1871,f1747]) ).
fof(f1875,plain,
e20 = op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f1871,f1645]) ).
fof(f1878,plain,
( h4(op1(e10,e10)) != op2(h4(e10),e20)
| spl0_207 ),
inference(backward_demodulation,[status(thm)],[f1871,f1141]) ).
fof(f1879,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1871,f1878]) ).
fof(f1881,plain,
( h4(op1(e10,e11)) != op2(e20,h4(e11))
| spl0_208 ),
inference(backward_demodulation,[status(thm)],[f1871,f1144]) ).
fof(f1882,plain,
( h4(op1(e10,e12)) != op2(e20,h4(e12))
| spl0_209 ),
inference(backward_demodulation,[status(thm)],[f1871,f1147]) ).
fof(f1885,plain,
( h1(e10) = op2(e20,e23)
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f1793,f1610]) ).
fof(f1891,plain,
( e23 != op2(e20,e21)
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f1793,f1612]) ).
fof(f1894,plain,
( h2(e10) = op2(e21,e23)
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f1725,f1622]) ).
fof(f1896,plain,
( h2(e10) != e21
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f1894,f1750]) ).
fof(f1899,plain,
( e23 != op2(e22,e21)
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f1725,f1625]) ).
fof(f1902,plain,
( h3(e10) = op2(e22,e23)
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f1675,f1630]) ).
fof(f1907,plain,
( h4(op1(e11,e11)) != op2(h4(e11),e21)
| spl0_212 ),
inference(backward_demodulation,[status(thm)],[f1737,f1156]) ).
fof(f1908,plain,
( h4(op1(e11,e11)) != op2(e21,e21)
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f1737,f1907]) ).
fof(f1910,plain,
( h4(op1(e11,e12)) != op2(e21,h4(e12))
| spl0_213 ),
inference(backward_demodulation,[status(thm)],[f1737,f1159]) ).
fof(f1911,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e21)
| spl0_216 ),
inference(backward_demodulation,[status(thm)],[f1737,f1168]) ).
fof(f1913,plain,
op2(e20,e21) != e20,
inference(forward_demodulation,[status(thm)],[f1871,f1779]) ).
fof(f1916,plain,
( e20 != h4(e10)
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f708,f1759]) ).
fof(f1917,plain,
( e20 != e20
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f1871,f1916]) ).
fof(f1918,plain,
( $false
| ~ spl0_84 ),
inference(trivial_equality_resolution,[status(esa)],[f1917]) ).
fof(f1919,plain,
~ spl0_84,
inference(contradiction_clause,[status(thm)],[f1918]) ).
fof(f1920,plain,
op2(e21,e21) != e20,
inference(forward_demodulation,[status(thm)],[f1871,f1759]) ).
fof(f1921,plain,
e22 = op2(e20,e23),
inference(forward_demodulation,[status(thm)],[f1871,f1646]) ).
fof(f1922,plain,
( e22 = h1(e10)
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f1885,f1921]) ).
fof(f1932,plain,
( h2(e12) != op2(h2(e10),e21)
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f1765,f1616]) ).
fof(f1936,plain,
( h2(e10) != op2(e21,h2(e11))
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f1587,f1620]) ).
fof(f1937,plain,
( h2(e10) != op2(e21,e23)
| ~ spl0_87
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f1725,f1936]) ).
fof(f1938,plain,
( h2(e10) != h2(e10)
| ~ spl0_87
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f1894,f1937]) ).
fof(f1939,plain,
( $false
| ~ spl0_87
| spl0_174 ),
inference(trivial_equality_resolution,[status(esa)],[f1938]) ).
fof(f1940,plain,
( ~ spl0_87
| spl0_174 ),
inference(contradiction_clause,[status(thm)],[f1939]) ).
fof(f1944,plain,
( e13 = e12
| ~ spl0_59
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f594,f591]) ).
fof(f1945,plain,
( $false
| ~ spl0_59
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1944,f217]) ).
fof(f1946,plain,
( ~ spl0_59
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f1945]) ).
fof(f1948,plain,
( h3(op1(e13,e12)) != op2(e22,h3(e12))
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f266,f1110]) ).
fof(f1949,plain,
( e10 = e12
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f1587,f578]) ).
fof(f1950,plain,
( $false
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f1949,f213]) ).
fof(f1951,plain,
~ spl0_54,
inference(contradiction_clause,[status(thm)],[f1950]) ).
fof(f1953,plain,
( e13 = e12
| ~ spl0_51
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f568,f565]) ).
fof(f1954,plain,
( $false
| ~ spl0_51
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f1953,f217]) ).
fof(f1955,plain,
( ~ spl0_51
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f1954]) ).
fof(f1957,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f549,f1595]) ).
fof(f1958,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f1957]) ).
fof(f1959,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f1596]) ).
fof(f1960,plain,
~ spl0_29,
inference(contradiction_clause,[status(thm)],[f1959]) ).
fof(f1961,plain,
( e12 = e11
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f1765,f445]) ).
fof(f1962,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f1961,f215]) ).
fof(f1963,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f1962]) ).
fof(f1965,plain,
( e10 = e11
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f1587,f575]) ).
fof(f1966,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f1965,f212]) ).
fof(f1967,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f1966]) ).
fof(f1969,plain,
( e13 = e11
| ~ spl0_51
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f568,f562]) ).
fof(f1970,plain,
( $false
| ~ spl0_51
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1969,f216]) ).
fof(f1971,plain,
( ~ spl0_51
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1970]) ).
fof(f1972,plain,
( e11 = e13
| ~ spl0_57
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f588,f594]) ).
fof(f1973,plain,
( $false
| ~ spl0_57
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f1972,f216]) ).
fof(f1974,plain,
( ~ spl0_57
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f1973]) ).
fof(f1977,plain,
( h3(op1(e13,e10)) != op2(e22,h3(e10))
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f266,f1104]) ).
fof(f1978,plain,
( e11 = e12
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f588,f591]) ).
fof(f1979,plain,
( $false
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1978,f215]) ).
fof(f1980,plain,
( ~ spl0_57
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f1979]) ).
fof(f1981,plain,
( e20 != op2(e20,e22)
| ~ spl0_67
| ~ spl0_51
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f1922,f1845]) ).
fof(f1985,plain,
( e11 = e10
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f253,f598]) ).
fof(f1986,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f1985,f212]) ).
fof(f1987,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f1986]) ).
fof(f1989,plain,
( h2(e10) != op2(h2(e12),e21)
| ~ spl0_44
| spl0_172 ),
inference(backward_demodulation,[status(thm)],[f546,f1618]) ).
fof(f1993,plain,
( e12 = e10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f1765,f442]) ).
fof(f1994,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1993,f213]) ).
fof(f1995,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f1994]) ).
fof(f1999,plain,
( h2(e13) != op2(h2(e12),h2(e12))
| ~ spl0_43
| spl0_171 ),
inference(backward_demodulation,[status(thm)],[f542,f1025]) ).
fof(f2000,plain,
( e21 != op2(h2(e12),h2(e12))
| ~ spl0_43
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f262,f1999]) ).
fof(f2003,plain,
( h3(e13) != op2(h3(e12),h3(e12))
| ~ spl0_43
| spl0_194 ),
inference(backward_demodulation,[status(thm)],[f542,f1098]) ).
fof(f2004,plain,
( e22 != op2(h3(e12),h3(e12))
| ~ spl0_43
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f266,f2003]) ).
fof(f2009,plain,
( op1(e11,e11) != e13
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f490,f149]) ).
fof(f2016,plain,
( op1(e10,e11) != e13
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f438,f143]) ).
fof(f2027,plain,
( e13 = e12
| ~ spl0_43
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f542,f539]) ).
fof(f2028,plain,
( $false
| ~ spl0_43
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f2027,f217]) ).
fof(f2029,plain,
( ~ spl0_43
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f2028]) ).
fof(f2032,plain,
( e13 != op1(e12,e12)
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f490,f131]) ).
fof(f2033,plain,
( e13 != op1(e12,e12)
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f438,f129]) ).
fof(f2044,plain,
( op1(e12,e12) != e10
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f546,f157]) ).
fof(f2045,plain,
( e13 != op1(e12,e13)
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f529,f156]) ).
fof(f2047,plain,
( e13 != op1(e12,e13)
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f516,f154]) ).
fof(f2049,plain,
( e10 != op1(e12,e13)
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f494,f137]) ).
fof(f2050,plain,
( e10 != e10
| ~ spl0_44
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f546,f2049]) ).
fof(f2051,plain,
( $false
| ~ spl0_44
| ~ spl0_28 ),
inference(trivial_equality_resolution,[status(esa)],[f2050]) ).
fof(f2052,plain,
( ~ spl0_44
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f2051]) ).
fof(f2055,plain,
( op1(e11,e11) != e10
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f494,f150]) ).
fof(f2057,plain,
e12 != op1(e11,e13),
inference(forward_demodulation,[status(thm)],[f1765,f134]) ).
fof(f2059,plain,
e12 != op1(e12,e13),
inference(forward_demodulation,[status(thm)],[f1765,f135]) ).
fof(f2060,plain,
op1(e10,e12) != e12,
inference(forward_demodulation,[status(thm)],[f1765,f145]) ).
fof(f2061,plain,
op1(e10,e11) != e12,
inference(forward_demodulation,[status(thm)],[f1765,f144]) ).
fof(f2062,plain,
op1(e10,e10) != e12,
inference(forward_demodulation,[status(thm)],[f1765,f142]) ).
fof(f2065,plain,
( e13 != op1(e13,e10)
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f516,f121]) ).
fof(f2072,plain,
( h4(e12) != op2(h4(e10),e23)
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f1765,f1638]) ).
fof(f2073,plain,
( h4(e12) != op2(e20,e23)
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f1871,f2072]) ).
fof(f2074,plain,
( h4(e12) != h4(e12)
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f1874,f2073]) ).
fof(f2075,plain,
( $false
| spl0_210 ),
inference(trivial_equality_resolution,[status(esa)],[f2074]) ).
fof(f2076,plain,
spl0_210,
inference(contradiction_clause,[status(thm)],[f2075]) ).
fof(f2083,plain,
( e13 = e12
| ~ spl0_39
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f529,f526]) ).
fof(f2084,plain,
( $false
| ~ spl0_39
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f2083,f217]) ).
fof(f2085,plain,
( ~ spl0_39
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f2084]) ).
fof(f2087,plain,
( e13 = e12
| ~ spl0_35
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f516,f513]) ).
fof(f2088,plain,
( $false
| ~ spl0_35
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f2087,f217]) ).
fof(f2089,plain,
( ~ spl0_35
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f2088]) ).
fof(f2093,plain,
( op1(e11,e12) != e11
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f536,f131]) ).
fof(f2095,plain,
( op1(e11,e10) != e11
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f484,f147]) ).
fof(f2096,plain,
( op1(e11,e11) != e11
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f484,f149]) ).
fof(f2099,plain,
( op1(e10,e11) != e11
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f432,f143]) ).
fof(f2101,plain,
( e11 = e10
| ~ spl0_41
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f536,f533]) ).
fof(f2102,plain,
( $false
| ~ spl0_41
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f2101,f212]) ).
fof(f2103,plain,
( ~ spl0_41
| ~ spl0_40 ),
inference(contradiction_clause,[status(thm)],[f2102]) ).
fof(f2104,plain,
( e11 != op1(e12,e12)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f432,f129]) ).
fof(f2106,plain,
( e11 = e10
| ~ spl0_25
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f484,f481]) ).
fof(f2107,plain,
( $false
| ~ spl0_25
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f2106,f212]) ).
fof(f2108,plain,
( ~ spl0_25
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f2107]) ).
fof(f2110,plain,
( e11 = e10
| ~ spl0_9
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f432,f429]) ).
fof(f2111,plain,
( $false
| ~ spl0_9
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2110,f212]) ).
fof(f2112,plain,
( ~ spl0_9
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2111]) ).
fof(f2114,plain,
( e22 != e22
| ~ spl0_67
| spl0_248 ),
inference(forward_demodulation,[status(thm)],[f1922,f1284]) ).
fof(f2115,plain,
( $false
| ~ spl0_67
| spl0_248 ),
inference(trivial_equality_resolution,[status(esa)],[f2114]) ).
fof(f2116,plain,
( ~ spl0_67
| spl0_248 ),
inference(contradiction_clause,[status(thm)],[f2115]) ).
fof(f2119,plain,
e22 = h4(e12),
inference(forward_demodulation,[status(thm)],[f1874,f1921]) ).
fof(f2120,plain,
( $false
| spl0_286 ),
inference(forward_subsumption_resolution,[status(thm)],[f2119,f1436]) ).
fof(f2121,plain,
spl0_286,
inference(contradiction_clause,[status(thm)],[f2120]) ).
fof(f2122,plain,
op2(e20,e21) != h4(e12),
inference(forward_demodulation,[status(thm)],[f1874,f192]) ).
fof(f2123,plain,
( op2(e20,e22) != e23
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f1675,f1634]) ).
fof(f2124,plain,
( ~ spl0_75
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f2123,f677,f781]) ).
fof(f2127,plain,
( op2(e20,e21) != e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f1725,f1626]) ).
fof(f2129,plain,
op2(e20,e22) != h4(e12),
inference(forward_demodulation,[status(thm)],[f1874,f193]) ).
fof(f2130,plain,
h4(e12) != op2(e22,e23),
inference(forward_demodulation,[status(thm)],[f1874,f183]) ).
fof(f2132,plain,
h4(e12) != op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f1874,f182]) ).
fof(f2133,plain,
( h4(e12) != h2(e10)
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f1894,f2132]) ).
fof(f2137,plain,
( h1(e11) != op2(h1(e12),h1(e11))
| ~ spl0_37
| spl0_147 ),
inference(forward_demodulation,[status(thm)],[f523,f949]) ).
fof(f2142,plain,
( h3(e11) != op2(e22,h3(e13))
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f266,f1593]) ).
fof(f2143,plain,
( h3(e11) != op2(e22,e22)
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f266,f2142]) ).
fof(f2148,plain,
( h3(e11) != op2(h3(e12),h3(e11))
| ~ spl0_37
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f523,f1095]) ).
fof(f2149,plain,
( h3(e10) != op2(h3(e13),h3(e11))
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f1587,f1107]) ).
fof(f2150,plain,
( h3(e10) != op2(e22,h3(e11))
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f266,f2149]) ).
fof(f2154,plain,
( e20 = e22
| ~ spl0_64
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f643,f649]) ).
fof(f2155,plain,
( $false
| ~ spl0_64
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f2154,f219]) ).
fof(f2156,plain,
( ~ spl0_64
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f2155]) ).
fof(f2161,plain,
( h4(e12) != e22
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f1874,f689]) ).
fof(f2165,plain,
( h2(e10) = e22
| ~ spl0_87
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f1894,f740]) ).
fof(f2166,plain,
( $false
| spl0_260
| ~ spl0_87
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f2165,f1332]) ).
fof(f2167,plain,
( spl0_260
| ~ spl0_87
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f2166]) ).
fof(f2168,plain,
( $false
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f656,f1913]) ).
fof(f2169,plain,
~ spl0_68,
inference(contradiction_clause,[status(thm)],[f2168]) ).
fof(f2178,plain,
( h4(e12) = e20
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f1874,f682]) ).
fof(f2182,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f760,f1873]) ).
fof(f2183,plain,
~ spl0_100,
inference(contradiction_clause,[status(thm)],[f2182]) ).
fof(f2186,plain,
( $false
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[status(thm)],[f802,f1763]) ).
fof(f2187,plain,
~ spl0_113,
inference(contradiction_clause,[status(thm)],[f2186]) ).
fof(f2189,plain,
( e20 = e22
| ~ spl0_118 ),
inference(forward_demodulation,[status(thm)],[f1875,f818]) ).
fof(f2190,plain,
( $false
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f2189,f219]) ).
fof(f2191,plain,
~ spl0_118,
inference(contradiction_clause,[status(thm)],[f2190]) ).
fof(f2192,plain,
( e21 = e20
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f256,f838]) ).
fof(f2193,plain,
( $false
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f2192,f218]) ).
fof(f2194,plain,
~ spl0_124,
inference(contradiction_clause,[status(thm)],[f2193]) ).
fof(f2197,plain,
( e11 = e12
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f510,f513]) ).
fof(f2198,plain,
( $false
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f2197,f215]) ).
fof(f2199,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f2198]) ).
fof(f2202,plain,
( e21 = e22
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f256,f844]) ).
fof(f2203,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f2202,f221]) ).
fof(f2204,plain,
~ spl0_126,
inference(contradiction_clause,[status(thm)],[f2203]) ).
fof(f2205,plain,
( $false
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f828,f1754]) ).
fof(f2206,plain,
~ spl0_121,
inference(contradiction_clause,[status(thm)],[f2205]) ).
fof(f2207,plain,
( e20 = e23
| ~ spl0_119 ),
inference(forward_demodulation,[status(thm)],[f1875,f821]) ).
fof(f2208,plain,
( $false
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[status(thm)],[f2207,f220]) ).
fof(f2209,plain,
~ spl0_119,
inference(contradiction_clause,[status(thm)],[f2208]) ).
fof(f2221,plain,
( op2(e21,e22) != e23
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f1675,f1633]) ).
fof(f2225,plain,
( ~ spl0_72
| ~ spl0_67
| ~ spl0_51
| spl0_150 ),
inference(split_clause,[status(thm)],[f1981,f668,f651,f567,f956]) ).
fof(f2226,plain,
( e21 = e23
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f256,f847]) ).
fof(f2227,plain,
( $false
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f2226,f222]) ).
fof(f2228,plain,
~ spl0_127,
inference(contradiction_clause,[status(thm)],[f2227]) ).
fof(f2230,plain,
( ~ spl0_95
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f1774,f742,f703]) ).
fof(f2235,plain,
( ~ spl0_95
| ~ spl0_111 ),
inference(split_clause,[status(thm)],[f1521,f742,f794]) ).
fof(f2238,plain,
( ~ spl0_286
| spl0_78 ),
inference(split_clause,[status(thm)],[f2161,f1434,f687]) ).
fof(f2239,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f799,f1872]) ).
fof(f2240,plain,
~ spl0_112,
inference(contradiction_clause,[status(thm)],[f2239]) ).
fof(f2241,plain,
( ~ spl0_71
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f1891,f664,f651]) ).
fof(f2242,plain,
( ~ spl0_71
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f1694,f664,f768]) ).
fof(f2243,plain,
( ~ spl0_103
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f1899,f768,f716]) ).
fof(f2245,plain,
( op1(e11,e10) != e13
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f477,f146]) ).
fof(f2246,plain,
( op1(e10,e11) != e13
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f477,f122]) ).
fof(f2252,plain,
( e13 = e12
| ~ spl0_23
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f477,f474]) ).
fof(f2253,plain,
( $false
| ~ spl0_23
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2252,f217]) ).
fof(f2254,plain,
( ~ spl0_23
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f2253]) ).
fof(f2260,plain,
( e13 != e13
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f464,f2245]) ).
fof(f2261,plain,
( $false
| ~ spl0_19
| ~ spl0_23 ),
inference(trivial_equality_resolution,[status(esa)],[f2260]) ).
fof(f2262,plain,
( ~ spl0_19
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f2261]) ).
fof(f2263,plain,
( e12 = e11
| ~ spl0_18
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f461,f458]) ).
fof(f2264,plain,
( $false
| ~ spl0_18
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f2263,f215]) ).
fof(f2265,plain,
( ~ spl0_18
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f2264]) ).
fof(f2266,plain,
( e11 = e12
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f471,f474]) ).
fof(f2267,plain,
( $false
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2266,f215]) ).
fof(f2268,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f2267]) ).
fof(f2269,plain,
( e11 = e13
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f419,f425]) ).
fof(f2270,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f2269,f216]) ).
fof(f2271,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f2270]) ).
fof(f2282,plain,
( e10 != op1(e12,e13)
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f507,f154]) ).
fof(f2284,plain,
( e10 != op1(e12,e10)
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f455,f119]) ).
fof(f2285,plain,
( e10 != e10
| ~ spl0_32
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f507,f2284]) ).
fof(f2286,plain,
( $false
| ~ spl0_32
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f2285]) ).
fof(f2287,plain,
( ~ spl0_32
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f2286]) ).
fof(f2296,plain,
h1(e12) = op2(h1(e10),e20),
inference(forward_demodulation,[status(thm)],[f1610,f1615]) ).
fof(f2297,plain,
op2(e20,e22) != e22,
inference(backward_demodulation,[status(thm)],[f2119,f2129]) ).
fof(f2298,plain,
op2(e20,e21) != e22,
inference(backward_demodulation,[status(thm)],[f2119,f2122]) ).
fof(f2299,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| spl0_218 ),
inference(backward_demodulation,[status(thm)],[f2119,f1641]) ).
fof(f2300,plain,
e22 = op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f2119,f1874]) ).
fof(f2302,plain,
( h4(op1(e13,e10)) != op2(e23,e20)
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f1871,f1642]) ).
fof(f2303,plain,
( h4(e10) != op2(e23,h4(e11))
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1587,f1643]) ).
fof(f2304,plain,
( e20 != op2(e23,h4(e11))
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1871,f2303]) ).
fof(f2305,plain,
( e20 != op2(e23,e21)
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1737,f2304]) ).
fof(f2306,plain,
( e20 != e20
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1875,f2305]) ).
fof(f2307,plain,
( $false
| spl0_220 ),
inference(trivial_equality_resolution,[status(esa)],[f2306]) ).
fof(f2308,plain,
spl0_220,
inference(contradiction_clause,[status(thm)],[f2307]) ).
fof(f2313,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f2119,f1644]) ).
fof(f2317,plain,
( e11 = e10
| ~ spl0_1
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f406,f403]) ).
fof(f2318,plain,
( $false
| ~ spl0_1
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2317,f212]) ).
fof(f2319,plain,
( ~ spl0_1
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f2318]) ).
fof(f2320,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f552,f2059]) ).
fof(f2321,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f2320]) ).
fof(f2323,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f1737,f1639]) ).
fof(f2324,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e22)
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f266,f1101]) ).
fof(f2325,plain,
( h1(e12) != op2(h1(e10),e20)
| spl0_141 ),
inference(forward_demodulation,[status(thm)],[f1765,f1604]) ).
fof(f2326,plain,
( h1(e12) != h1(e12)
| spl0_141 ),
inference(forward_demodulation,[status(thm)],[f2296,f2325]) ).
fof(f2327,plain,
( $false
| spl0_141 ),
inference(trivial_equality_resolution,[status(esa)],[f2326]) ).
fof(f2328,plain,
spl0_141,
inference(contradiction_clause,[status(thm)],[f2327]) ).
fof(f2331,plain,
( h3(e12) != op2(h3(e10),h3(e13))
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f1765,f1077]) ).
fof(f2332,plain,
( h3(e12) != op2(h3(e10),e22)
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f266,f2331]) ).
fof(f2333,plain,
( e20 != e20
| spl0_243 ),
inference(forward_demodulation,[status(thm)],[f258,f1264]) ).
fof(f2334,plain,
( $false
| spl0_243 ),
inference(trivial_equality_resolution,[status(esa)],[f2333]) ).
fof(f2335,plain,
spl0_243,
inference(contradiction_clause,[status(thm)],[f2334]) ).
fof(f2336,plain,
( op1(e12,op1(e10,e13)) = e13
| ~ spl0_301 ),
inference(forward_demodulation,[status(thm)],[f1765,f1493]) ).
fof(f2337,plain,
( op1(e12,e12) = e13
| ~ spl0_301 ),
inference(forward_demodulation,[status(thm)],[f1765,f2336]) ).
fof(f2337_002,plain,
( op1(e12,e12) = e13
| ~ spl0_301 ),
inference(forward_demodulation,[status(thm)],[f1765,f2336]) ).
fof(f2338,plain,
( op1(e10,e12) != e13
| ~ spl0_301 ),
inference(backward_demodulation,[status(thm)],[f2337,f129]) ).
fof(f2339,plain,
( ~ spl0_11
| ~ spl0_301 ),
inference(split_clause,[status(thm)],[f2338,f437,f1492]) ).
fof(f2341,plain,
( e13 != op1(e12,e13)
| ~ spl0_301 ),
inference(backward_demodulation,[status(thm)],[f2337,f157]) ).
fof(f2342,plain,
( op1(e12,e11) != e13
| ~ spl0_301 ),
inference(backward_demodulation,[status(thm)],[f2337,f155]) ).
fof(f2343,plain,
( ~ spl0_39
| ~ spl0_301 ),
inference(split_clause,[status(thm)],[f2342,f528,f1492]) ).
fof(f2344,plain,
( e13 != op1(e13,e12)
| ~ spl0_301 ),
inference(backward_demodulation,[status(thm)],[f2337,f133]) ).
fof(f2345,plain,
( ~ spl0_59
| ~ spl0_301 ),
inference(split_clause,[status(thm)],[f2344,f593,f1492]) ).
fof(f2351,plain,
( op2(e21,op2(e23,e23)) = e23
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f256,f917]) ).
fof(f2352,plain,
( op2(e21,e21) = e23
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f256,f2351]) ).
fof(f2354,plain,
( op2(e20,op2(e23,e21)) = e21
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f1875,f909]) ).
fof(f2355,plain,
( op2(e20,e20) = e21
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f1875,f2354]) ).
fof(f2361,plain,
( spl0_43
| ~ spl0_301 ),
inference(split_clause,[status(thm)],[f2337,f541,f1492]) ).
fof(f2363,plain,
( ~ spl0_47
| ~ spl0_301 ),
inference(split_clause,[status(thm)],[f2341,f554,f1492]) ).
fof(f2366,plain,
( ~ spl0_23
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f2009,f476,f489]) ).
fof(f2367,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2096,f470,f483]) ).
fof(f2368,plain,
( ~ spl0_47
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f2047,f554,f515]) ).
fof(f2369,plain,
( ~ spl0_51
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f2065,f567,f515]) ).
fof(f2373,plain,
( ~ spl0_31
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f1820,f502,f554]) ).
fof(f2375,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f559,f1767]) ).
fof(f2376,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f2375]) ).
fof(f2380,plain,
( ~ spl0_20
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f2055,f467,f493]) ).
fof(f2382,plain,
( ~ spl0_25
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f2093,f483,f535]) ).
fof(f2383,plain,
( $false
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f585,f1766]) ).
fof(f2384,plain,
~ spl0_56,
inference(contradiction_clause,[status(thm)],[f2383]) ).
fof(f2385,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f2016,f424,f437]) ).
fof(f2386,plain,
( ~ spl0_43
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f2033,f541,f437]) ).
fof(f2388,plain,
( ~ spl0_40
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f2044,f532,f545]) ).
fof(f2389,plain,
( ~ spl0_7
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f2246,f424,f476]) ).
fof(f2391,plain,
( ~ spl0_43
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f2032,f541,f489]) ).
fof(f2392,plain,
( op1(e11,op1(e13,e13)) = e13
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f253,f898]) ).
fof(f2393,plain,
( op1(e11,e11) = e13
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f253,f2392]) ).
fof(f2398,plain,
( op1(e10,op1(e13,e11)) = e11
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f1587,f890]) ).
fof(f2399,plain,
( op1(e10,e10) = e11
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f1587,f2398]) ).
fof(f2400,plain,
( op1(op1(e10,e10),e11) = e10
| ~ spl0_130
| ~ spl0_298 ),
inference(backward_demodulation,[status(thm)],[f2399,f1481]) ).
fof(f2401,plain,
( op1(e11,e11) = e10
| ~ spl0_130
| ~ spl0_298 ),
inference(forward_demodulation,[status(thm)],[f2399,f2400]) ).
fof(f2402,plain,
( e23 != e23
| spl0_229 ),
inference(forward_demodulation,[status(thm)],[f270,f1210]) ).
fof(f2403,plain,
( $false
| spl0_229 ),
inference(trivial_equality_resolution,[status(esa)],[f2402]) ).
fof(f2404,plain,
spl0_229,
inference(contradiction_clause,[status(thm)],[f2403]) ).
fof(f2405,plain,
e22 != op2(e22,e23),
inference(forward_demodulation,[status(thm)],[f2119,f2130]) ).
fof(f2406,plain,
h3(e12) = op2(h3(e10),e22),
inference(forward_demodulation,[status(thm)],[f1630,f1635]) ).
fof(f2407,plain,
( $false
| spl0_187 ),
inference(forward_subsumption_resolution,[status(thm)],[f2406,f2332]) ).
fof(f2408,plain,
spl0_187,
inference(contradiction_clause,[status(thm)],[f2407]) ).
fof(f2414,plain,
h2(e12) = op2(h2(e10),e21),
inference(forward_demodulation,[status(thm)],[f1622,f1627]) ).
fof(f2415,plain,
( $false
| spl0_164 ),
inference(forward_subsumption_resolution,[status(thm)],[f2414,f1932]) ).
fof(f2416,plain,
spl0_164,
inference(contradiction_clause,[status(thm)],[f2415]) ).
fof(f2419,plain,
h2(e11) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f264,f198]) ).
fof(f2420,plain,
h3(e11) != op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f268,f181]) ).
fof(f2422,plain,
( h4(op1(e10,e11)) != op2(e20,e21)
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f1737,f1881]) ).
fof(f2423,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f2119,f1882]) ).
fof(f2426,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f2119,f1910]) ).
fof(f2428,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f2119,f1911]) ).
fof(f2434,plain,
( op2(h2(e11),op2(e21,e21)) = e21
| ~ spl0_295 ),
inference(forward_demodulation,[status(thm)],[f264,f1469]) ).
fof(f2435,plain,
( op2(h2(e11),h2(e11)) = e21
| ~ spl0_295 ),
inference(forward_demodulation,[status(thm)],[f264,f2434]) ).
fof(f2436,plain,
( op2(h3(e11),op2(e22,e22)) = e22
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f268,f1243]) ).
fof(f2437,plain,
( op2(h3(e11),h3(e11)) = e22
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f268,f2436]) ).
fof(f2440,plain,
( e11 != op1(e11,e10)
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f2399,f116]) ).
fof(f2441,plain,
( op2(op2(e20,e23),e22) = e23
| ~ spl0_305 ),
inference(backward_demodulation,[status(thm)],[f2300,f1509]) ).
fof(f2442,plain,
( op2(e22,e22) = e23
| ~ spl0_305 ),
inference(forward_demodulation,[status(thm)],[f2300,f2441]) ).
fof(f2443,plain,
( h3(e11) = e23
| ~ spl0_305 ),
inference(forward_demodulation,[status(thm)],[f268,f2442]) ).
fof(f2444,plain,
( $false
| spl0_204
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[status(thm)],[f2443,f1129]) ).
fof(f2445,plain,
( spl0_204
| ~ spl0_305 ),
inference(contradiction_clause,[status(thm)],[f2444]) ).
fof(f2449,plain,
h2(e11) != e20,
inference(forward_demodulation,[status(thm)],[f264,f1920]) ).
fof(f2452,plain,
( h1(e10) != h1(e10)
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f1610,f1772]) ).
fof(f2453,plain,
( $false
| spl0_151 ),
inference(trivial_equality_resolution,[status(esa)],[f2452]) ).
fof(f2454,plain,
spl0_151,
inference(contradiction_clause,[status(thm)],[f2453]) ).
fof(f2459,plain,
( h3(e10) != h3(e10)
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f1630,f2150]) ).
fof(f2460,plain,
( $false
| spl0_197 ),
inference(trivial_equality_resolution,[status(esa)],[f2459]) ).
fof(f2461,plain,
spl0_197,
inference(contradiction_clause,[status(thm)],[f2460]) ).
fof(f2467,plain,
( e21 != h2(e11)
| ~ spl0_69 ),
inference(backward_demodulation,[status(thm)],[f659,f1626]) ).
fof(f2472,plain,
( e21 != op2(e22,e21)
| ~ spl0_69 ),
inference(backward_demodulation,[status(thm)],[f659,f171]) ).
fof(f2473,plain,
( ~ spl0_101
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f2472,f762,f658]) ).
fof(f2474,plain,
( e21 != op2(e20,e22)
| ~ spl0_69 ),
inference(backward_demodulation,[status(thm)],[f659,f191]) ).
fof(f2475,plain,
( h1(e11) = e20
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f260,f643]) ).
fof(f2476,plain,
( $false
| spl0_241
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f2475,f1256]) ).
fof(f2477,plain,
( spl0_241
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f2476]) ).
fof(f2483,plain,
( e20 != op2(e22,e23)
| ~ spl0_96 ),
inference(backward_demodulation,[status(thm)],[f747,f202]) ).
fof(f2484,plain,
( ~ spl0_108
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f2483,f785,f746]) ).
fof(f2488,plain,
( op2(e21,e20) != e20
| ~ spl0_96 ),
inference(backward_demodulation,[status(thm)],[f747,f167]) ).
fof(f2489,plain,
( ~ spl0_80
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f2488,f694,f746]) ).
fof(f2493,plain,
( ~ spl0_108
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f1749,f785,f772]) ).
fof(f2498,plain,
( $false
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f2297]) ).
fof(f2499,plain,
~ spl0_74,
inference(contradiction_clause,[status(thm)],[f2498]) ).
fof(f2500,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f789,f1748]) ).
fof(f2501,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f2500]) ).
fof(f2502,plain,
( e22 = e20
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f2119,f2178]) ).
fof(f2503,plain,
( $false
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f2502,f219]) ).
fof(f2504,plain,
~ spl0_76,
inference(contradiction_clause,[status(thm)],[f2503]) ).
fof(f2505,plain,
( e22 = e20
| ~ spl0_278 ),
inference(forward_demodulation,[status(thm)],[f2119,f1403]) ).
fof(f2506,plain,
( $false
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[status(thm)],[f2505,f219]) ).
fof(f2507,plain,
~ spl0_278,
inference(contradiction_clause,[status(thm)],[f2506]) ).
fof(f2508,plain,
( h1(e11) = e21
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f260,f2355]) ).
fof(f2509,plain,
( $false
| spl0_245
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[status(thm)],[f2508,f1272]) ).
fof(f2510,plain,
( spl0_245
| ~ spl0_135 ),
inference(contradiction_clause,[status(thm)],[f2509]) ).
fof(f2511,plain,
( $false
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f792,f2405]) ).
fof(f2512,plain,
~ spl0_110,
inference(contradiction_clause,[status(thm)],[f2511]) ).
fof(f2519,plain,
( h2(e11) = e22
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f264,f714]) ).
fof(f2521,plain,
( h3(e11) = e21
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f268,f776]) ).
fof(f2524,plain,
( h1(e11) != e21
| ~ spl0_69 ),
inference(backward_demodulation,[status(thm)],[f659,f1612]) ).
fof(f2525,plain,
( ~ spl0_245
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f2524,f1270,f658]) ).
fof(f2529,plain,
( h3(e11) != h3(e11)
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f268,f2143]) ).
fof(f2530,plain,
( $false
| spl0_199 ),
inference(trivial_equality_resolution,[status(esa)],[f2529]) ).
fof(f2531,plain,
spl0_199,
inference(contradiction_clause,[status(thm)],[f2530]) ).
fof(f2538,plain,
( e23 != op2(e23,e22)
| ~ spl0_204 ),
inference(backward_demodulation,[status(thm)],[f1128,f2420]) ).
fof(f2539,plain,
( ~ spl0_123
| ~ spl0_204 ),
inference(split_clause,[status(thm)],[f2538,f833,f1127]) ).
fof(f2540,plain,
( e23 = op2(e22,e22)
| ~ spl0_204 ),
inference(backward_demodulation,[status(thm)],[f1128,f268]) ).
fof(f2541,plain,
( spl0_107
| ~ spl0_204 ),
inference(split_clause,[status(thm)],[f2540,f781,f1127]) ).
fof(f2542,plain,
( h3(e10) = op2(e22,e23)
| ~ spl0_204 ),
inference(backward_demodulation,[status(thm)],[f1128,f1630]) ).
fof(f2547,plain,
( op2(e22,op2(e20,e23)) != e23
| spl0_305 ),
inference(forward_demodulation,[status(thm)],[f2300,f1510]) ).
fof(f2548,plain,
( op2(e22,e22) != e23
| spl0_305 ),
inference(forward_demodulation,[status(thm)],[f2300,f2547]) ).
fof(f2553,plain,
( e20 = op2(e20,e20)
| ~ spl0_241 ),
inference(backward_demodulation,[status(thm)],[f1255,f260]) ).
fof(f2555,plain,
( h1(e10) = op2(e20,e20)
| ~ spl0_241 ),
inference(backward_demodulation,[status(thm)],[f1255,f1610]) ).
fof(f2556,plain,
( e20 != op2(e20,e22)
| ~ spl0_241 ),
inference(backward_demodulation,[status(thm)],[f1255,f1611]) ).
fof(f2557,plain,
( ~ spl0_72
| ~ spl0_241 ),
inference(split_clause,[status(thm)],[f2556,f668,f1254]) ).
fof(f2562,plain,
( h1(e12) = op2(e22,e20)
| ~ spl0_248 ),
inference(backward_demodulation,[status(thm)],[f1283,f2296]) ).
fof(f2563,plain,
( e22 = op2(e20,e20)
| ~ spl0_248
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f1283,f2555]) ).
fof(f2564,plain,
( e22 = e20
| ~ spl0_248
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2553,f2563]) ).
fof(f2565,plain,
( $false
| ~ spl0_248
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[status(thm)],[f2564,f219]) ).
fof(f2566,plain,
( ~ spl0_248
| ~ spl0_241 ),
inference(contradiction_clause,[status(thm)],[f2565]) ).
fof(f2567,plain,
( h1(e10) = e20
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2553,f2555]) ).
fof(f2569,plain,
( h2(e11) = e21
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f264,f711]) ).
fof(f2571,plain,
( e20 = e21
| ~ spl0_241
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f2553,f646]) ).
fof(f2572,plain,
( $false
| ~ spl0_241
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f2571,f218]) ).
fof(f2573,plain,
( ~ spl0_241
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f2572]) ).
fof(f2575,plain,
( $false
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f662,f2298]) ).
fof(f2576,plain,
~ spl0_70,
inference(contradiction_clause,[status(thm)],[f2575]) ).
fof(f2578,plain,
( ~ spl0_73
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f2474,f671,f658]) ).
fof(f2579,plain,
( h1(e12) = op2(e20,e20)
| ~ spl0_241 ),
inference(backward_demodulation,[status(thm)],[f2567,f2296]) ).
fof(f2580,plain,
( h1(e12) = e20
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2553,f2579]) ).
fof(f2581,plain,
( $false
| spl0_242
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[status(thm)],[f2580,f1260]) ).
fof(f2582,plain,
( spl0_242
| ~ spl0_241 ),
inference(contradiction_clause,[status(thm)],[f2581]) ).
fof(f2587,plain,
( op2(op2(e21,e23),e23) = e23
| ~ spl0_95
| ~ spl0_297 ),
inference(backward_demodulation,[status(thm)],[f743,f1477]) ).
fof(f2588,plain,
( op2(e23,e23) = e23
| ~ spl0_95
| ~ spl0_297 ),
inference(forward_demodulation,[status(thm)],[f743,f2587]) ).
fof(f2589,plain,
( e21 = e23
| ~ spl0_95
| ~ spl0_297 ),
inference(forward_demodulation,[status(thm)],[f256,f2588]) ).
fof(f2590,plain,
( $false
| ~ spl0_95
| ~ spl0_297 ),
inference(forward_subsumption_resolution,[status(thm)],[f2589,f222]) ).
fof(f2591,plain,
( ~ spl0_95
| ~ spl0_297 ),
inference(contradiction_clause,[status(thm)],[f2590]) ).
fof(f2597,plain,
( h4(op1(e11,e11)) != h2(e11)
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f264,f1908]) ).
fof(f2599,plain,
( e20 = e21
| ~ spl0_241
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f1255,f2508]) ).
fof(f2600,plain,
( $false
| ~ spl0_241
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[status(thm)],[f2599,f218]) ).
fof(f2601,plain,
( ~ spl0_241
| ~ spl0_135 ),
inference(contradiction_clause,[status(thm)],[f2600]) ).
fof(f2607,plain,
( h2(e11) = e23
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f264,f2352]) ).
fof(f2608,plain,
( $false
| spl0_181
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[status(thm)],[f2607,f1056]) ).
fof(f2609,plain,
( spl0_181
| ~ spl0_137 ),
inference(contradiction_clause,[status(thm)],[f2608]) ).
fof(f2610,plain,
( e22 = e21
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f2300,f685]) ).
fof(f2611,plain,
( $false
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f2610,f221]) ).
fof(f2612,plain,
~ spl0_77,
inference(contradiction_clause,[status(thm)],[f2611]) ).
fof(f2613,plain,
( h3(op1(e11,e13)) != op2(e23,e22)
| ~ spl0_107
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f266,f1687]) ).
fof(f2614,plain,
( h2(e11) != e23
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f743,f2419]) ).
fof(f2615,plain,
( ~ spl0_181
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f2614,f1054,f742]) ).
fof(f2617,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f409,f2062]) ).
fof(f2618,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f2617]) ).
fof(f2619,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f2061]) ).
fof(f2620,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f2619]) ).
fof(f2621,plain,
( op1(op1(e12,e11),e12) = e11
| ~ spl0_38
| ~ spl0_232 ),
inference(backward_demodulation,[status(thm)],[f526,f1220]) ).
fof(f2622,plain,
( op1(e12,e12) = e11
| ~ spl0_38
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f526,f2621]) ).
fof(f2623,plain,
( e12 != op1(e12,e12)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f526,f155]) ).
fof(f2626,plain,
( op1(e12,e10) != e12
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f526,f152]) ).
fof(f2629,plain,
( op1(e12,e12) != e12
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f591,f133]) ).
fof(f2631,plain,
( h4(e12) != op2(e23,e22)
| ~ spl0_58
| spl0_221 ),
inference(backward_demodulation,[status(thm)],[f591,f2313]) ).
fof(f2632,plain,
( e22 != op2(e23,e22)
| ~ spl0_58
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f2119,f2631]) ).
fof(f2646,plain,
( e11 != op1(e12,e10)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f406,f117]) ).
fof(f2647,plain,
( ~ spl0_33
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f2646,f509,f405]) ).
fof(f2648,plain,
( ~ spl0_44
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f2282,f545,f506]) ).
fof(f2649,plain,
( e12 = e11
| ~ spl0_38
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f526,f523]) ).
fof(f2650,plain,
( $false
| ~ spl0_38
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f2649,f215]) ).
fof(f2651,plain,
( ~ spl0_38
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f2650]) ).
fof(f2658,plain,
( e10 != op1(e11,e12)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f429,f128]) ).
fof(f2662,plain,
( op1(op1(e12,e13),e13) = e13
| ~ spl0_47
| ~ spl0_234 ),
inference(backward_demodulation,[status(thm)],[f555,f1228]) ).
fof(f2663,plain,
( op1(e13,e13) = e13
| ~ spl0_47
| ~ spl0_234 ),
inference(forward_demodulation,[status(thm)],[f555,f2662]) ).
fof(f2664,plain,
( e11 = e13
| ~ spl0_47
| ~ spl0_234 ),
inference(forward_demodulation,[status(thm)],[f253,f2663]) ).
fof(f2665,plain,
( $false
| ~ spl0_47
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[status(thm)],[f2664,f216]) ).
fof(f2666,plain,
( ~ spl0_47
| ~ spl0_234 ),
inference(contradiction_clause,[status(thm)],[f2665]) ).
fof(f2669,plain,
( op1(e13,op1(e13,e10)) = e10
| ~ spl0_51
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f568,f886]) ).
fof(f2670,plain,
( op1(e13,e13) = e10
| ~ spl0_51
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f568,f2669]) ).
fof(f2671,plain,
( e11 = e10
| ~ spl0_51
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f253,f2670]) ).
fof(f2672,plain,
( $false
| ~ spl0_51
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[status(thm)],[f2671,f212]) ).
fof(f2673,plain,
( ~ spl0_51
| ~ spl0_129 ),
inference(contradiction_clause,[status(thm)],[f2672]) ).
fof(f2698,plain,
( h3(e12) != op2(e22,h3(e12))
| ~ spl0_58
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f591,f1948]) ).
fof(f2702,plain,
( h3(e10) = op2(e22,e23)
| ~ spl0_204 ),
inference(backward_demodulation,[status(thm)],[f1128,f1630]) ).
fof(f2703,plain,
( h3(e10) = e20
| ~ spl0_108
| ~ spl0_204 ),
inference(forward_demodulation,[status(thm)],[f786,f2702]) ).
fof(f2704,plain,
( $false
| spl0_264
| ~ spl0_108
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[status(thm)],[f2703,f1348]) ).
fof(f2705,plain,
( spl0_264
| ~ spl0_108
| ~ spl0_204 ),
inference(contradiction_clause,[status(thm)],[f2704]) ).
fof(f2706,plain,
( e23 = op2(e22,e22)
| ~ spl0_204 ),
inference(backward_demodulation,[status(thm)],[f1128,f268]) ).
fof(f2708,plain,
( h3(e10) = e20
| ~ spl0_108
| ~ spl0_204 ),
inference(forward_demodulation,[status(thm)],[f786,f2542]) ).
fof(f2714,plain,
( op2(e22,e20) != e22
| ~ spl0_102 ),
inference(backward_demodulation,[status(thm)],[f766,f200]) ).
fof(f2718,plain,
( e22 != h2(e11)
| ~ spl0_82 ),
inference(backward_demodulation,[status(thm)],[f701,f1624]) ).
fof(f2719,plain,
( e22 != op2(e21,e22)
| ~ spl0_82 ),
inference(backward_demodulation,[status(thm)],[f701,f195]) ).
fof(f2720,plain,
( op2(e20,e21) != e21
| ~ spl0_85 ),
inference(backward_demodulation,[status(thm)],[f2569,f1626]) ).
fof(f2725,plain,
( h3(e12) = op2(e20,e22)
| ~ spl0_108
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f786,f1677]) ).
fof(f2734,plain,
( h1(e11) != e21
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f750,f1613]) ).
fof(f2752,plain,
( e21 != e21
| ~ spl0_85
| spl0_257 ),
inference(forward_demodulation,[status(thm)],[f2569,f1320]) ).
fof(f2753,plain,
( $false
| ~ spl0_85
| spl0_257 ),
inference(trivial_equality_resolution,[status(esa)],[f2752]) ).
fof(f2754,plain,
( ~ spl0_85
| spl0_257 ),
inference(contradiction_clause,[status(thm)],[f2753]) ).
fof(f2757,plain,
( e20 != e20
| ~ spl0_241
| spl0_240 ),
inference(forward_demodulation,[status(thm)],[f2567,f1252]) ).
fof(f2758,plain,
( $false
| ~ spl0_241
| spl0_240 ),
inference(trivial_equality_resolution,[status(esa)],[f2757]) ).
fof(f2759,plain,
( ~ spl0_241
| spl0_240 ),
inference(contradiction_clause,[status(thm)],[f2758]) ).
fof(f2763,plain,
( h3(e12) = e21
| ~ spl0_108
| ~ spl0_107
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f2725,f672]) ).
fof(f2764,plain,
( $false
| spl0_270
| ~ spl0_108
| ~ spl0_107
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f2763,f1372]) ).
fof(f2765,plain,
( spl0_270
| ~ spl0_108
| ~ spl0_107
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f2764]) ).
fof(f2766,plain,
( ~ spl0_245
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f2734,f1270,f749]) ).
fof(f2768,plain,
( e22 = e20
| ~ spl0_82
| ~ spl0_80 ),
inference(forward_demodulation,[status(thm)],[f701,f695]) ).
fof(f2769,plain,
( $false
| ~ spl0_82
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[status(thm)],[f2768,f219]) ).
fof(f2770,plain,
( ~ spl0_82
| ~ spl0_80 ),
inference(contradiction_clause,[status(thm)],[f2769]) ).
fof(f2775,plain,
( e23 = e21
| ~ spl0_71
| ~ spl0_69 ),
inference(forward_demodulation,[status(thm)],[f665,f659]) ).
fof(f2776,plain,
( $false
| ~ spl0_71
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f2775,f222]) ).
fof(f2777,plain,
( ~ spl0_71
| ~ spl0_69 ),
inference(contradiction_clause,[status(thm)],[f2776]) ).
fof(f2778,plain,
( e23 != h2(e11)
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f665,f1626]) ).
fof(f2781,plain,
( e22 = e21
| ~ spl0_102
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f766,f763]) ).
fof(f2782,plain,
( $false
| ~ spl0_102
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f2781,f221]) ).
fof(f2783,plain,
( ~ spl0_102
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f2782]) ).
fof(f2784,plain,
( spl0_1
| ~ spl0_130 ),
inference(split_clause,[status(thm)],[f2399,f405,f889]) ).
fof(f2785,plain,
( ~ spl0_17
| ~ spl0_130 ),
inference(split_clause,[status(thm)],[f2440,f457,f889]) ).
fof(f2788,plain,
( ~ spl0_115
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f1796,f807,f651]) ).
fof(f2792,plain,
( e23 = e21
| ~ spl0_204
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f1128,f2521]) ).
fof(f2793,plain,
( $false
| ~ spl0_204
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f2792,f222]) ).
fof(f2794,plain,
( ~ spl0_204
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f2793]) ).
fof(f2797,plain,
( e23 = e20
| ~ spl0_95
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f743,f734]) ).
fof(f2798,plain,
( $false
| ~ spl0_95
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f2797,f220]) ).
fof(f2799,plain,
( ~ spl0_95
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f2798]) ).
fof(f2800,plain,
( op2(e20,op2(e22,e23)) = e23
| ~ spl0_108
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f786,f1247]) ).
fof(f2801,plain,
( op2(e20,e20) = e23
| ~ spl0_108
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f786,f2800]) ).
fof(f2802,plain,
( e23 = e21
| ~ spl0_95
| ~ spl0_93 ),
inference(forward_demodulation,[status(thm)],[f743,f737]) ).
fof(f2803,plain,
( $false
| ~ spl0_95
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[status(thm)],[f2802,f222]) ).
fof(f2804,plain,
( ~ spl0_95
| ~ spl0_93 ),
inference(contradiction_clause,[status(thm)],[f2803]) ).
fof(f2807,plain,
( ~ spl0_42
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f2629,f538,f590]) ).
fof(f2808,plain,
( ~ spl0_122
| ~ spl0_58
| spl0_221 ),
inference(split_clause,[status(thm)],[f2632,f830,f590,f1181]) ).
fof(f2818,plain,
( spl0_20
| ~ spl0_130
| ~ spl0_298 ),
inference(split_clause,[status(thm)],[f2401,f467,f889,f1480]) ).
fof(f2819,plain,
( h4(op1(e11,e13)) != e23
| ~ spl0_95
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f743,f2323]) ).
fof(f2820,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f416,f1770]) ).
fof(f2821,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f2820]) ).
fof(f2822,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f2057]) ).
fof(f2823,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f2822]) ).
fof(f2824,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f1768]) ).
fof(f2825,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f2824]) ).
fof(f2828,plain,
( op1(e11,e12) != e10
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f494,f151]) ).
fof(f2829,plain,
( ~ spl0_24
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f2828,f480,f493]) ).
fof(f2832,plain,
( op1(op1(e11,e13),e10) = e13
| ~ spl0_28
| ~ spl0_292 ),
inference(backward_demodulation,[status(thm)],[f494,f1458]) ).
fof(f2833,plain,
( op1(e10,e10) = e13
| ~ spl0_28
| ~ spl0_292 ),
inference(forward_demodulation,[status(thm)],[f494,f2832]) ).
fof(f2833_003,plain,
( op1(e10,e10) = e13
| ~ spl0_28
| ~ spl0_292 ),
inference(forward_demodulation,[status(thm)],[f494,f2832]) ).
fof(f2836,plain,
( op1(op1(e11,e10),e12) = e10
| ~ spl0_18
| ~ spl0_289 ),
inference(backward_demodulation,[status(thm)],[f461,f1446]) ).
fof(f2837,plain,
( op1(e12,e12) = e10
| ~ spl0_18
| ~ spl0_289 ),
inference(forward_demodulation,[status(thm)],[f461,f2836]) ).
fof(f2838,plain,
( e12 != op1(e11,e12)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f461,f147]) ).
fof(f2839,plain,
( ~ spl0_26
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f2838,f486,f460]) ).
fof(f2863,plain,
( h3(e10) = e20
| ~ spl0_108
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f786,f1902]) ).
fof(f2870,plain,
( e20 = e22
| ~ spl0_88
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f721,f727]) ).
fof(f2871,plain,
( $false
| ~ spl0_88
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f2870,f219]) ).
fof(f2872,plain,
( ~ spl0_88
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f2871]) ).
fof(f2879,plain,
( e10 != op1(e12,e12)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f429,f129]) ).
fof(f2880,plain,
( ~ spl0_40
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2879,f532,f428]) ).
fof(f2884,plain,
( e20 = op2(h1(e10),e20)
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2580,f2296]) ).
fof(f2885,plain,
( e20 = op2(e20,e20)
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2567,f2884]) ).
fof(f2905,plain,
( e11 != op1(e10,e11)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f406,f140]) ).
fof(f2916,plain,
( op1(e12,e10) != e12
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f565,f121]) ).
fof(f2919,plain,
( op1(e11,e11) != e12
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f487,f149]) ).
fof(f2920,plain,
( e12 != op1(e12,e12)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f487,f131]) ).
fof(f2921,plain,
( op1(op1(e11,e12),e12) = e12
| ~ spl0_26
| ~ spl0_291 ),
inference(backward_demodulation,[status(thm)],[f487,f1454]) ).
fof(f2922,plain,
( op1(e12,e12) = e12
| ~ spl0_26
| ~ spl0_291 ),
inference(forward_demodulation,[status(thm)],[f487,f2921]) ).
fof(f2930,plain,
( op1(e10,e11) != e13
| ~ spl0_132 ),
inference(backward_demodulation,[status(thm)],[f2393,f122]) ).
fof(f2931,plain,
( ~ spl0_7
| ~ spl0_132 ),
inference(split_clause,[status(thm)],[f2930,f424,f897]) ).
fof(f2932,plain,
( e10 = e13
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f429,f438]) ).
fof(f2933,plain,
( $false
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f2932,f214]) ).
fof(f2934,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f2933]) ).
fof(f2935,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f419,f2905]) ).
fof(f2936,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f2935]) ).
fof(f2939,plain,
( e11 = e13
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f406,f412]) ).
fof(f2940,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f2939,f216]) ).
fof(f2941,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f2940]) ).
fof(f2943,plain,
( op1(e10,op1(e13,e11)) != e11
| spl0_130 ),
inference(forward_demodulation,[status(thm)],[f1587,f891]) ).
fof(f2944,plain,
( op1(e10,e10) != e11
| spl0_130 ),
inference(forward_demodulation,[status(thm)],[f1587,f2943]) ).
fof(f2945,plain,
( e11 != e11
| ~ spl0_1
| spl0_130 ),
inference(forward_demodulation,[status(thm)],[f406,f2944]) ).
fof(f2946,plain,
( $false
| ~ spl0_1
| spl0_130 ),
inference(trivial_equality_resolution,[status(esa)],[f2945]) ).
fof(f2947,plain,
( ~ spl0_1
| spl0_130 ),
inference(contradiction_clause,[status(thm)],[f2946]) ).
fof(f2953,plain,
( e11 = e13
| ~ spl0_1
| ~ spl0_28
| ~ spl0_292 ),
inference(forward_demodulation,[status(thm)],[f406,f2833]) ).
fof(f2954,plain,
( $false
| ~ spl0_1
| ~ spl0_28
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[status(thm)],[f2953,f216]) ).
fof(f2955,plain,
( ~ spl0_1
| ~ spl0_28
| ~ spl0_292 ),
inference(contradiction_clause,[status(thm)],[f2954]) ).
fof(f2961,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| ~ spl0_108
| ~ spl0_204
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f2708,f1092]) ).
fof(f2964,plain,
( h3(op1(e11,e13)) != e22
| ~ spl0_122
| ~ spl0_107
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f831,f2613]) ).
fof(f2974,plain,
( h3(op1(e10,e12)) != op2(e20,h3(e12))
| ~ spl0_108
| ~ spl0_204
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f2708,f1074]) ).
fof(f2975,plain,
( h3(op1(e10,e11)) != op2(e20,h3(e11))
| ~ spl0_108
| ~ spl0_204
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f2708,f1071]) ).
fof(f2976,plain,
( h3(op1(e10,e11)) != op2(e20,e23)
| ~ spl0_108
| ~ spl0_204
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1128,f2975]) ).
fof(f2977,plain,
( h3(op1(e10,e11)) != e22
| ~ spl0_108
| ~ spl0_204
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f2300,f2976]) ).
fof(f2980,plain,
( h3(op1(e10,e10)) != op2(e20,h3(e10))
| ~ spl0_108
| ~ spl0_204
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f2708,f1068]) ).
fof(f2981,plain,
( h3(op1(e10,e10)) != op2(e20,e20)
| ~ spl0_108
| ~ spl0_204
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f2708,f2980]) ).
fof(f2989,plain,
( h1(e13) != op2(e20,h1(e12))
| ~ spl0_59
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f594,f1609]) ).
fof(f2990,plain,
( e20 != op2(e20,h1(e12))
| ~ spl0_59
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f258,f2989]) ).
fof(f2991,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_59
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2580,f2990]) ).
fof(f2992,plain,
( e20 != e20
| ~ spl0_241
| ~ spl0_59
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2885,f2991]) ).
fof(f2993,plain,
( $false
| ~ spl0_241
| ~ spl0_59
| spl0_152 ),
inference(trivial_equality_resolution,[status(esa)],[f2992]) ).
fof(f2994,plain,
( ~ spl0_241
| ~ spl0_59
| spl0_152 ),
inference(contradiction_clause,[status(thm)],[f2993]) ).
fof(f3001,plain,
( e20 != op2(h1(e12),h1(e11))
| ~ spl0_241
| ~ spl0_37
| spl0_147 ),
inference(forward_demodulation,[status(thm)],[f1255,f2137]) ).
fof(f3002,plain,
( e20 != op2(e20,h1(e11))
| ~ spl0_241
| ~ spl0_37
| spl0_147 ),
inference(forward_demodulation,[status(thm)],[f2580,f3001]) ).
fof(f3003,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_37
| spl0_147 ),
inference(forward_demodulation,[status(thm)],[f1255,f3002]) ).
fof(f3004,plain,
( e20 != e20
| ~ spl0_241
| ~ spl0_37
| spl0_147 ),
inference(forward_demodulation,[status(thm)],[f2885,f3003]) ).
fof(f3005,plain,
( $false
| ~ spl0_241
| ~ spl0_37
| spl0_147 ),
inference(trivial_equality_resolution,[status(esa)],[f3004]) ).
fof(f3006,plain,
( ~ spl0_241
| ~ spl0_37
| spl0_147 ),
inference(contradiction_clause,[status(thm)],[f3005]) ).
fof(f3030,plain,
( op1(e13,op1(e13,e12)) = e12
| ~ spl0_59
| ~ spl0_131 ),
inference(forward_demodulation,[status(thm)],[f594,f894]) ).
fof(f3031,plain,
( op1(e13,e13) = e12
| ~ spl0_59
| ~ spl0_131 ),
inference(forward_demodulation,[status(thm)],[f594,f3030]) ).
fof(f3032,plain,
( e11 = e12
| ~ spl0_59
| ~ spl0_131 ),
inference(forward_demodulation,[status(thm)],[f253,f3031]) ).
fof(f3033,plain,
( $false
| ~ spl0_59
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[status(thm)],[f3032,f215]) ).
fof(f3034,plain,
( ~ spl0_59
| ~ spl0_131 ),
inference(contradiction_clause,[status(thm)],[f3033]) ).
fof(f3035,plain,
( op2(e23,h3(e11)) = e22
| ~ spl0_204
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f1128,f2437]) ).
fof(f3036,plain,
( op2(e23,e23) = e22
| ~ spl0_204
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f1128,f3035]) ).
fof(f3037,plain,
( e21 = e22
| ~ spl0_204
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f256,f3036]) ).
fof(f3038,plain,
( $false
| ~ spl0_204
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[status(thm)],[f3037,f221]) ).
fof(f3039,plain,
( ~ spl0_204
| ~ spl0_238 ),
inference(contradiction_clause,[status(thm)],[f3038]) ).
fof(f3040,plain,
( op2(e23,op2(e23,e20)) = e20
| ~ spl0_115
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f808,f905]) ).
fof(f3041,plain,
( op2(e23,e23) = e20
| ~ spl0_115
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f808,f3040]) ).
fof(f3042,plain,
( e21 = e20
| ~ spl0_115
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f256,f3041]) ).
fof(f3043,plain,
( $false
| ~ spl0_115
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[status(thm)],[f3042,f218]) ).
fof(f3044,plain,
( ~ spl0_115
| ~ spl0_134 ),
inference(contradiction_clause,[status(thm)],[f3043]) ).
fof(f3045,plain,
( op2(e22,op2(e23,e22)) = e22
| ~ spl0_122
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f831,f913]) ).
fof(f3046,plain,
( op2(e22,e22) = e22
| ~ spl0_122
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f831,f3045]) ).
fof(f3047,plain,
( e23 = e22
| ~ spl0_204
| ~ spl0_122
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f2706,f3046]) ).
fof(f3048,plain,
( $false
| ~ spl0_204
| ~ spl0_122
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[status(thm)],[f3047,f223]) ).
fof(f3049,plain,
( ~ spl0_204
| ~ spl0_122
| ~ spl0_136 ),
inference(contradiction_clause,[status(thm)],[f3048]) ).
fof(f3050,plain,
( op2(e21,op2(e21,e20)) = e20
| ~ spl0_81
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f698,f1465]) ).
fof(f3051,plain,
( op2(e21,e21) = e20
| ~ spl0_81
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f698,f3050]) ).
fof(f3052,plain,
( h2(e11) = e20
| ~ spl0_81
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f264,f3051]) ).
fof(f3055,plain,
( h4(op1(e12,e13)) != e20
| ~ spl0_108
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f786,f2299]) ).
fof(f3062,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f2099,f418,f431]) ).
fof(f3063,plain,
( ~ spl0_41
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f2104,f535,f431]) ).
fof(f3073,plain,
( op2(e21,e20) != e22
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f753,f167]) ).
fof(f3074,plain,
( e22 = e21
| ~ spl0_98
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f753,f750]) ).
fof(f3075,plain,
( $false
| ~ spl0_98
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f3074,f221]) ).
fof(f3076,plain,
( ~ spl0_98
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f3075]) ).
fof(f3077,plain,
( ~ spl0_107
| spl0_305 ),
inference(split_clause,[status(thm)],[f2548,f781,f1508]) ).
fof(f3078,plain,
( spl0_181
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f1725,f1054,f716]) ).
fof(f3083,plain,
( ~ spl0_42
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f2623,f538,f525]) ).
fof(f3084,plain,
( spl0_41
| ~ spl0_38
| ~ spl0_232 ),
inference(split_clause,[status(thm)],[f2622,f535,f525,f1219]) ).
fof(f3085,plain,
( spl0_40
| ~ spl0_18
| ~ spl0_289 ),
inference(split_clause,[status(thm)],[f2837,f532,f460,f1445]) ).
fof(f3086,plain,
( h2(e11) != e23
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f264,f718]) ).
fof(f3087,plain,
( ~ spl0_47
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f2045,f554,f528]) ).
fof(f3090,plain,
( h2(e10) = op2(e21,e22)
| ~ spl0_86 ),
inference(backward_demodulation,[status(thm)],[f2519,f1622]) ).
fof(f3091,plain,
( e22 = op2(e21,e21)
| ~ spl0_86 ),
inference(backward_demodulation,[status(thm)],[f2519,f264]) ).
fof(f3092,plain,
( e13 = e10
| ~ spl0_3
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f412,f403]) ).
fof(f3093,plain,
( $false
| ~ spl0_3
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3092,f214]) ).
fof(f3094,plain,
( ~ spl0_3
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f3093]) ).
fof(f3095,plain,
( spl0_3
| ~ spl0_28
| ~ spl0_292 ),
inference(split_clause,[status(thm)],[f2833,f411,f493,f1457]) ).
fof(f3096,plain,
( spl0_42
| ~ spl0_26
| ~ spl0_291 ),
inference(split_clause,[status(thm)],[f2922,f538,f486,f1453]) ).
fof(f3097,plain,
( ~ spl0_19
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1824,f463,f502]) ).
fof(f3109,plain,
( e21 != h3(e11)
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f724,f1633]) ).
fof(f3111,plain,
( h3(e11) = e22
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f779,f268]) ).
fof(f3112,plain,
( h3(e10) = op2(e22,e22)
| ~ spl0_106 ),
inference(backward_demodulation,[status(thm)],[f3111,f1630]) ).
fof(f3113,plain,
( h3(e10) = e22
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f779,f3112]) ).
fof(f3118,plain,
( e22 != op2(e23,e22)
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f3111,f2420]) ).
fof(f3127,plain,
( e23 != e23
| ~ spl0_67
| spl0_158 ),
inference(forward_demodulation,[status(thm)],[f1793,f983]) ).
fof(f3128,plain,
( $false
| ~ spl0_67
| spl0_158 ),
inference(trivial_equality_resolution,[status(esa)],[f3127]) ).
fof(f3129,plain,
( ~ spl0_67
| spl0_158 ),
inference(contradiction_clause,[status(thm)],[f3128]) ).
fof(f3133,plain,
( h4(op1(e11,e11)) != e22
| ~ spl0_86
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f2519,f2597]) ).
fof(f3149,plain,
( h2(op1(e11,e13)) != op2(e22,e21)
| ~ spl0_86
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f2519,f1617]) ).
fof(f3162,plain,
( h1(e12) = e21
| ~ spl0_248
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f2562,f750]) ).
fof(f3163,plain,
( $false
| spl0_246
| ~ spl0_248
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f3162,f1276]) ).
fof(f3164,plain,
( spl0_246
| ~ spl0_248
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f3163]) ).
fof(f3168,plain,
( h2(e10) = e21
| ~ spl0_89
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f724,f3090]) ).
fof(f3169,plain,
( $false
| spl0_256
| ~ spl0_89
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f3168,f1316]) ).
fof(f3170,plain,
( spl0_256
| ~ spl0_89
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f3169]) ).
fof(f3175,plain,
( op1(e11,e11) != e13
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f503,f150]) ).
fof(f3178,plain,
( op1(op1(e11,e13),e13) = e13
| ~ spl0_31
| ~ spl0_292 ),
inference(backward_demodulation,[status(thm)],[f503,f1458]) ).
fof(f3179,plain,
( op1(e13,e13) = e13
| ~ spl0_31
| ~ spl0_292 ),
inference(forward_demodulation,[status(thm)],[f503,f3178]) ).
fof(f3180,plain,
( e11 = e13
| ~ spl0_31
| ~ spl0_292 ),
inference(forward_demodulation,[status(thm)],[f253,f3179]) ).
fof(f3181,plain,
( $false
| ~ spl0_31
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[status(thm)],[f3180,f216]) ).
fof(f3182,plain,
( ~ spl0_31
| ~ spl0_292 ),
inference(contradiction_clause,[status(thm)],[f3181]) ).
fof(f3198,plain,
( op1(op1(e12,e10),e13) = e10
| ~ spl0_35
| ~ spl0_231 ),
inference(backward_demodulation,[status(thm)],[f516,f1216]) ).
fof(f3199,plain,
( op1(e13,e13) = e10
| ~ spl0_35
| ~ spl0_231 ),
inference(forward_demodulation,[status(thm)],[f516,f3198]) ).
fof(f3200,plain,
( e11 = e10
| ~ spl0_35
| ~ spl0_231 ),
inference(forward_demodulation,[status(thm)],[f253,f3199]) ).
fof(f3201,plain,
( $false
| ~ spl0_35
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[status(thm)],[f3200,f212]) ).
fof(f3202,plain,
( ~ spl0_35
| ~ spl0_231 ),
inference(contradiction_clause,[status(thm)],[f3201]) ).
fof(f3208,plain,
( h1(e13) != op2(h1(e11),e20)
| ~ spl0_31
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f503,f1605]) ).
fof(f3209,plain,
( e20 != op2(h1(e11),e20)
| ~ spl0_31
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f258,f3208]) ).
fof(f3214,plain,
( h1(e10) != op2(h1(e11),h1(e12))
| ~ spl0_24
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f481,f940]) ).
fof(f3220,plain,
( h1(e11) != op2(e23,h1(e10))
| ~ spl0_17
| ~ spl0_67
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f458,f1801]) ).
fof(f3221,plain,
( e23 != op2(e23,h1(e10))
| ~ spl0_17
| ~ spl0_67
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f1793,f3220]) ).
fof(f3222,plain,
( e23 != op2(e23,e22)
| ~ spl0_248
| ~ spl0_17
| ~ spl0_67
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f1283,f3221]) ).
fof(f3223,plain,
( e23 != e23
| ~ spl0_123
| ~ spl0_248
| ~ spl0_17
| ~ spl0_67
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f834,f3222]) ).
fof(f3224,plain,
( $false
| ~ spl0_123
| ~ spl0_248
| ~ spl0_17
| ~ spl0_67
| spl0_142 ),
inference(trivial_equality_resolution,[status(esa)],[f3223]) ).
fof(f3225,plain,
( ~ spl0_123
| ~ spl0_248
| ~ spl0_17
| ~ spl0_67
| spl0_142 ),
inference(contradiction_clause,[status(thm)],[f3224]) ).
fof(f3226,plain,
( e12 = e11
| ~ spl0_50
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f565,f562]) ).
fof(f3227,plain,
( $false
| ~ spl0_50
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f3226,f215]) ).
fof(f3228,plain,
( ~ spl0_50
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f3227]) ).
fof(f3229,plain,
( ~ spl0_24
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2658,f480,f428]) ).
fof(f3245,plain,
( op2(e21,op2(e20,e21)) = e21
| ~ spl0_69
| ~ spl0_303 ),
inference(forward_demodulation,[status(thm)],[f659,f1501]) ).
fof(f3246,plain,
( op2(e21,e21) = e21
| ~ spl0_69
| ~ spl0_303 ),
inference(forward_demodulation,[status(thm)],[f659,f3245]) ).
fof(f3247,plain,
( e22 = e21
| ~ spl0_86
| ~ spl0_69
| ~ spl0_303 ),
inference(forward_demodulation,[status(thm)],[f3091,f3246]) ).
fof(f3248,plain,
( $false
| ~ spl0_86
| ~ spl0_69
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[status(thm)],[f3247,f221]) ).
fof(f3249,plain,
( ~ spl0_86
| ~ spl0_69
| ~ spl0_303 ),
inference(contradiction_clause,[status(thm)],[f3248]) ).
fof(f3250,plain,
( e21 = e22
| ~ spl0_89
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f724,f727]) ).
fof(f3251,plain,
( $false
| ~ spl0_89
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f3250,f221]) ).
fof(f3252,plain,
( ~ spl0_89
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f3251]) ).
fof(f3263,plain,
( h3(e10) != op2(h3(e12),e22)
| ~ spl0_44
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f546,f2324]) ).
fof(f3290,plain,
( e22 != op2(e21,e22)
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f2519,f1623]) ).
fof(f3302,plain,
( h1(e10) != op2(h1(e12),e20)
| ~ spl0_44
| spl0_149 ),
inference(forward_demodulation,[status(thm)],[f546,f1606]) ).
fof(f3321,plain,
( e23 != e23
| ~ spl0_108
| ~ spl0_239
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f2801,f653]) ).
fof(f3322,plain,
( $false
| ~ spl0_108
| ~ spl0_239
| spl0_67 ),
inference(trivial_equality_resolution,[status(esa)],[f3321]) ).
fof(f3323,plain,
( ~ spl0_108
| ~ spl0_239
| spl0_67 ),
inference(contradiction_clause,[status(thm)],[f3322]) ).
fof(f3324,plain,
( ~ spl0_27
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1838,f489,f593]) ).
fof(f3326,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f435,f2060]) ).
fof(f3327,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f3326]) ).
fof(f3328,plain,
( ~ spl0_34
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2916,f512,f564]) ).
fof(f3334,plain,
( op2(e20,op2(e20,e22)) = e22
| ~ spl0_72
| ~ spl0_304 ),
inference(forward_demodulation,[status(thm)],[f669,f1505]) ).
fof(f3335,plain,
( op2(e20,e20) = e22
| ~ spl0_72
| ~ spl0_304 ),
inference(forward_demodulation,[status(thm)],[f669,f3334]) ).
fof(f3337,plain,
( ~ spl0_122
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f3118,f830,f778]) ).
fof(f3342,plain,
( e22 = e20
| ~ spl0_106
| ~ spl0_108
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f3113,f2863]) ).
fof(f3343,plain,
( $false
| ~ spl0_106
| ~ spl0_108
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f3342,f219]) ).
fof(f3344,plain,
( ~ spl0_106
| ~ spl0_108
| ~ spl0_107 ),
inference(contradiction_clause,[status(thm)],[f3343]) ).
fof(f3349,plain,
( h3(e13) != e22
| ~ spl0_31
| ~ spl0_122
| ~ spl0_107
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f503,f2964]) ).
fof(f3350,plain,
( e22 != e22
| ~ spl0_31
| ~ spl0_122
| ~ spl0_107
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f266,f3349]) ).
fof(f3351,plain,
( $false
| ~ spl0_31
| ~ spl0_122
| ~ spl0_107
| spl0_191 ),
inference(trivial_equality_resolution,[status(esa)],[f3350]) ).
fof(f3352,plain,
( ~ spl0_31
| ~ spl0_122
| ~ spl0_107
| spl0_191 ),
inference(contradiction_clause,[status(thm)],[f3351]) ).
fof(f3378,plain,
( h2(e12) = op2(e21,e21)
| ~ spl0_89
| ~ spl0_86 ),
inference(backward_demodulation,[status(thm)],[f3168,f2414]) ).
fof(f3379,plain,
( h2(e12) = e22
| ~ spl0_89
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f3091,f3378]) ).
fof(f3380,plain,
( $false
| spl0_262
| ~ spl0_89
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f3379,f1340]) ).
fof(f3381,plain,
( spl0_262
| ~ spl0_89
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f3380]) ).
fof(f3396,plain,
( op1(e12,e10) != e11
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f536,f153]) ).
fof(f3401,plain,
( op1(e10,op1(e12,e13)) = e13
| ~ spl0_44
| ~ spl0_234 ),
inference(forward_demodulation,[status(thm)],[f546,f1228]) ).
fof(f3402,plain,
( op1(e10,e10) = e13
| ~ spl0_44
| ~ spl0_234 ),
inference(forward_demodulation,[status(thm)],[f546,f3401]) ).
fof(f3404,plain,
( e13 != op1(e10,e12)
| ~ spl0_44
| ~ spl0_234 ),
inference(backward_demodulation,[status(thm)],[f3402,f141]) ).
fof(f3405,plain,
( ~ spl0_11
| ~ spl0_44
| ~ spl0_234 ),
inference(split_clause,[status(thm)],[f3404,f437,f545,f1227]) ).
fof(f3408,plain,
( ~ spl0_34
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f2626,f512,f525]) ).
fof(f3410,plain,
( e11 = e13
| ~ spl0_41
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f536,f542]) ).
fof(f3411,plain,
( $false
| ~ spl0_41
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f3410,f216]) ).
fof(f3412,plain,
( ~ spl0_41
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f3411]) ).
fof(f3421,plain,
( e21 = e22
| ~ spl0_65
| ~ spl0_72
| ~ spl0_304 ),
inference(forward_demodulation,[status(thm)],[f646,f3335]) ).
fof(f3422,plain,
( $false
| ~ spl0_65
| ~ spl0_72
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[status(thm)],[f3421,f221]) ).
fof(f3423,plain,
( ~ spl0_65
| ~ spl0_72
| ~ spl0_304 ),
inference(contradiction_clause,[status(thm)],[f3422]) ).
fof(f3433,plain,
( op2(e21,e20) != e22
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f2519,f1624]) ).
fof(f3454,plain,
( h3(op1(e11,e10)) != op2(e23,e20)
| ~ spl0_108
| ~ spl0_204
| ~ spl0_107
| spl0_188 ),
inference(backward_demodulation,[status(thm)],[f2708,f1682]) ).
fof(f3455,plain,
( h3(op1(e11,e10)) != e23
| ~ spl0_115
| ~ spl0_108
| ~ spl0_204
| ~ spl0_107
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f808,f3454]) ).
fof(f3483,plain,
( e20 != op2(h3(e12),e22)
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f2708,f3263]) ).
fof(f3500,plain,
( h3(op1(e11,e11)) != op2(e23,h3(e11))
| ~ spl0_204
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1128,f1083]) ).
fof(f3501,plain,
( h3(op1(e11,e11)) != op2(e23,e23)
| ~ spl0_204
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1128,f3500]) ).
fof(f3502,plain,
( h3(op1(e11,e11)) != e21
| ~ spl0_204
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f256,f3501]) ).
fof(f3503,plain,
( e22 != e22
| ~ spl0_86
| spl0_261 ),
inference(forward_demodulation,[status(thm)],[f2519,f1336]) ).
fof(f3504,plain,
( $false
| ~ spl0_86
| spl0_261 ),
inference(trivial_equality_resolution,[status(esa)],[f3503]) ).
fof(f3505,plain,
( ~ spl0_86
| spl0_261 ),
inference(contradiction_clause,[status(thm)],[f3504]) ).
fof(f3523,plain,
( e20 != op2(h1(e12),e20)
| ~ spl0_241
| ~ spl0_44
| spl0_149 ),
inference(backward_demodulation,[status(thm)],[f2567,f3302]) ).
fof(f3531,plain,
( h3(e12) != op2(e22,e21)
| ~ spl0_270
| ~ spl0_58
| spl0_198 ),
inference(backward_demodulation,[status(thm)],[f1371,f2698]) ).
fof(f3532,plain,
( e21 != op2(e22,e21)
| ~ spl0_270
| ~ spl0_58
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f1371,f3531]) ).
fof(f3533,plain,
( e21 != e21
| ~ spl0_101
| ~ spl0_270
| ~ spl0_58
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f763,f3532]) ).
fof(f3534,plain,
( $false
| ~ spl0_101
| ~ spl0_270
| ~ spl0_58
| spl0_198 ),
inference(trivial_equality_resolution,[status(esa)],[f3533]) ).
fof(f3535,plain,
( ~ spl0_101
| ~ spl0_270
| ~ spl0_58
| spl0_198 ),
inference(contradiction_clause,[status(thm)],[f3534]) ).
fof(f3536,plain,
( e20 != op2(e21,e22)
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| spl0_195 ),
inference(backward_demodulation,[status(thm)],[f1371,f3483]) ).
fof(f3537,plain,
( ~ spl0_88
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| spl0_195 ),
inference(split_clause,[status(thm)],[f3536,f720,f1370,f785,f1127,f545,f1099]) ).
fof(f3538,plain,
( h3(op1(e10,e12)) != op2(e20,e21)
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| spl0_186 ),
inference(backward_demodulation,[status(thm)],[f1371,f2974]) ).
fof(f3539,plain,
( h3(op1(e10,e12)) != e23
| ~ spl0_71
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f665,f3538]) ).
fof(f3540,plain,
( h3(op1(e12,e10)) != op2(e21,e20)
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| spl0_192 ),
inference(backward_demodulation,[status(thm)],[f1371,f2961]) ).
fof(f3543,plain,
( h3(op1(e11,e12)) != op2(e23,e21)
| ~ spl0_270
| ~ spl0_107
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f1371,f1686]) ).
fof(f3544,plain,
( h3(op1(e11,e12)) != e20
| ~ spl0_270
| ~ spl0_107
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1875,f3543]) ).
fof(f3550,plain,
( ~ spl0_17
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2095,f457,f483]) ).
fof(f3554,plain,
( h3(e10) = op2(h3(e12),h3(e13))
| ~ spl0_44
| ~ spl0_195 ),
inference(forward_demodulation,[status(thm)],[f546,f1100]) ).
fof(f3555,plain,
( e20 = op2(h3(e12),h3(e13))
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195 ),
inference(forward_demodulation,[status(thm)],[f2708,f3554]) ).
fof(f3556,plain,
( e20 = op2(e21,h3(e13))
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195 ),
inference(forward_demodulation,[status(thm)],[f1371,f3555]) ).
fof(f3557,plain,
( e20 = op2(e21,e22)
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195 ),
inference(forward_demodulation,[status(thm)],[f266,f3556]) ).
fof(f3558,plain,
( ~ spl0_22
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2919,f473,f486]) ).
fof(f3559,plain,
( ~ spl0_42
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2920,f538,f486]) ).
fof(f3560,plain,
( ~ spl0_33
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f3396,f509,f535]) ).
fof(f3580,plain,
( h3(e12) != e21
| ~ spl0_22
| ~ spl0_204
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f474,f3502]) ).
fof(f3581,plain,
( ~ spl0_270
| ~ spl0_22
| ~ spl0_204
| spl0_189 ),
inference(split_clause,[status(thm)],[f3580,f1370,f473,f1127,f1081]) ).
fof(f3591,plain,
( e21 = op2(e20,e22)
| ~ spl0_270
| ~ spl0_108
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f1371,f2725]) ).
fof(f3595,plain,
( op2(e21,op2(e20,e22)) = e22
| ~ spl0_270
| ~ spl0_108
| ~ spl0_107
| ~ spl0_304 ),
inference(forward_demodulation,[status(thm)],[f3591,f1505]) ).
fof(f3596,plain,
( op2(e21,e21) = e22
| ~ spl0_270
| ~ spl0_108
| ~ spl0_107
| ~ spl0_304 ),
inference(forward_demodulation,[status(thm)],[f3591,f3595]) ).
fof(f3597,plain,
( h2(e10) = e20
| ~ spl0_86
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f3090,f721]) ).
fof(f3599,plain,
( e20 != op2(h2(e12),e21)
| ~ spl0_86
| ~ spl0_88
| ~ spl0_44
| spl0_172 ),
inference(backward_demodulation,[status(thm)],[f3597,f1989]) ).
fof(f3603,plain,
( h2(e12) = op2(e20,e21)
| ~ spl0_86
| ~ spl0_88 ),
inference(backward_demodulation,[status(thm)],[f3597,f2414]) ).
fof(f3604,plain,
( h2(e12) = e23
| ~ spl0_71
| ~ spl0_86
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f665,f3603]) ).
fof(f3605,plain,
( $false
| spl0_182
| ~ spl0_71
| ~ spl0_86
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f3604,f1060]) ).
fof(f3606,plain,
( spl0_182
| ~ spl0_71
| ~ spl0_86
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f3605]) ).
fof(f3656,plain,
( h4(e10) != e20
| ~ spl0_44
| ~ spl0_108
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f546,f3055]) ).
fof(f3657,plain,
( e20 != e20
| ~ spl0_44
| ~ spl0_108
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f1871,f3656]) ).
fof(f3658,plain,
( $false
| ~ spl0_44
| ~ spl0_108
| spl0_218 ),
inference(trivial_equality_resolution,[status(esa)],[f3657]) ).
fof(f3659,plain,
( ~ spl0_44
| ~ spl0_108
| spl0_218 ),
inference(contradiction_clause,[status(thm)],[f3658]) ).
fof(f3660,plain,
( h4(e10) = op2(h4(e12),h4(e13))
| ~ spl0_44
| ~ spl0_218 ),
inference(forward_demodulation,[status(thm)],[f546,f1173]) ).
fof(f3661,plain,
( e20 = op2(h4(e12),h4(e13))
| ~ spl0_44
| ~ spl0_218 ),
inference(forward_demodulation,[status(thm)],[f1871,f3660]) ).
fof(f3662,plain,
( e20 = op2(e22,h4(e13))
| ~ spl0_44
| ~ spl0_218 ),
inference(forward_demodulation,[status(thm)],[f2119,f3661]) ).
fof(f3663,plain,
( e20 = op2(e22,e23)
| ~ spl0_44
| ~ spl0_218 ),
inference(forward_demodulation,[status(thm)],[f270,f3662]) ).
fof(f3667,plain,
( h4(e12) != e22
| ~ spl0_22
| ~ spl0_86
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f474,f3133]) ).
fof(f3668,plain,
( e22 != e22
| ~ spl0_22
| ~ spl0_86
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f2119,f3667]) ).
fof(f3669,plain,
( $false
| ~ spl0_22
| ~ spl0_86
| spl0_212 ),
inference(trivial_equality_resolution,[status(esa)],[f3668]) ).
fof(f3670,plain,
( ~ spl0_22
| ~ spl0_86
| spl0_212 ),
inference(contradiction_clause,[status(thm)],[f3669]) ).
fof(f3671,plain,
( h4(e12) = op2(h4(e11),h4(e11))
| ~ spl0_22
| ~ spl0_212 ),
inference(forward_demodulation,[status(thm)],[f474,f1155]) ).
fof(f3672,plain,
( e22 = op2(h4(e11),h4(e11))
| ~ spl0_22
| ~ spl0_212 ),
inference(forward_demodulation,[status(thm)],[f2119,f3671]) ).
fof(f3673,plain,
( e22 = op2(e21,h4(e11))
| ~ spl0_22
| ~ spl0_212 ),
inference(forward_demodulation,[status(thm)],[f1737,f3672]) ).
fof(f3674,plain,
( e22 = op2(e21,e21)
| ~ spl0_22
| ~ spl0_212 ),
inference(forward_demodulation,[status(thm)],[f1737,f3673]) ).
fof(f3681,plain,
( h2(e13) != op2(e22,e21)
| ~ spl0_31
| ~ spl0_86
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f503,f3149]) ).
fof(f3682,plain,
( e21 != op2(e22,e21)
| ~ spl0_31
| ~ spl0_86
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f262,f3681]) ).
fof(f3683,plain,
( e21 != e21
| ~ spl0_101
| ~ spl0_31
| ~ spl0_86
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f763,f3682]) ).
fof(f3684,plain,
( $false
| ~ spl0_101
| ~ spl0_31
| ~ spl0_86
| spl0_168 ),
inference(trivial_equality_resolution,[status(esa)],[f3683]) ).
fof(f3685,plain,
( ~ spl0_101
| ~ spl0_31
| ~ spl0_86
| spl0_168 ),
inference(contradiction_clause,[status(thm)],[f3684]) ).
fof(f3733,plain,
( op1(op1(e12,e10),e11) = e10
| ~ spl0_33
| ~ spl0_231 ),
inference(backward_demodulation,[status(thm)],[f510,f1216]) ).
fof(f3734,plain,
( op1(e11,e11) = e10
| ~ spl0_33
| ~ spl0_231 ),
inference(forward_demodulation,[status(thm)],[f510,f3733]) ).
fof(f3735,plain,
( e12 = e10
| ~ spl0_22
| ~ spl0_33
| ~ spl0_231 ),
inference(forward_demodulation,[status(thm)],[f474,f3734]) ).
fof(f3736,plain,
( $false
| ~ spl0_22
| ~ spl0_33
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[status(thm)],[f3735,f213]) ).
fof(f3737,plain,
( ~ spl0_22
| ~ spl0_33
| ~ spl0_231 ),
inference(contradiction_clause,[status(thm)],[f3736]) ).
fof(f3738,plain,
( e10 = e11
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f455,f458]) ).
fof(f3739,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f3738,f212]) ).
fof(f3740,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f3739]) ).
fof(f3749,plain,
( e13 != e13
| ~ spl0_44
| ~ spl0_234
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f3402,f1850]) ).
fof(f3750,plain,
( $false
| ~ spl0_44
| ~ spl0_234
| ~ spl0_51 ),
inference(trivial_equality_resolution,[status(esa)],[f3749]) ).
fof(f3751,plain,
( ~ spl0_44
| ~ spl0_234
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f3750]) ).
fof(f3757,plain,
( h4(op1(e13,e10)) != e23
| ~ spl0_115
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f808,f2302]) ).
fof(f3763,plain,
( h4(op1(e10,e11)) != e23
| ~ spl0_71
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f665,f2422]) ).
fof(f3773,plain,
( h4(op1(e12,e11)) != e21
| ~ spl0_101
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f763,f2428]) ).
fof(f3784,plain,
( e12 = e10
| ~ spl0_22
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f474,f468]) ).
fof(f3785,plain,
( $false
| ~ spl0_22
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f3784,f213]) ).
fof(f3786,plain,
( ~ spl0_22
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f3785]) ).
fof(f3787,plain,
( e23 != op2(h3(e12),h3(e11))
| ~ spl0_204
| ~ spl0_37
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f1128,f2148]) ).
fof(f3788,plain,
( e23 != op2(e21,h3(e11))
| ~ spl0_270
| ~ spl0_204
| ~ spl0_37
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f1371,f3787]) ).
fof(f3789,plain,
( e23 != op2(e21,e23)
| ~ spl0_270
| ~ spl0_204
| ~ spl0_37
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f1128,f3788]) ).
fof(f3790,plain,
( e23 != e23
| ~ spl0_95
| ~ spl0_270
| ~ spl0_204
| ~ spl0_37
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f743,f3789]) ).
fof(f3791,plain,
( $false
| ~ spl0_95
| ~ spl0_270
| ~ spl0_204
| ~ spl0_37
| spl0_193 ),
inference(trivial_equality_resolution,[status(esa)],[f3790]) ).
fof(f3792,plain,
( ~ spl0_95
| ~ spl0_270
| ~ spl0_204
| ~ spl0_37
| spl0_193 ),
inference(contradiction_clause,[status(thm)],[f3791]) ).
fof(f3793,plain,
( e21 != op2(e23,h2(e12))
| ~ spl0_182
| ~ spl0_43
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f1059,f2000]) ).
fof(f3794,plain,
( e21 != op2(e23,e23)
| ~ spl0_182
| ~ spl0_43
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f1059,f3793]) ).
fof(f3795,plain,
( e21 != e21
| ~ spl0_182
| ~ spl0_43
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f256,f3794]) ).
fof(f3796,plain,
( $false
| ~ spl0_182
| ~ spl0_43
| spl0_171 ),
inference(trivial_equality_resolution,[status(esa)],[f3795]) ).
fof(f3797,plain,
( ~ spl0_182
| ~ spl0_43
| spl0_171 ),
inference(contradiction_clause,[status(thm)],[f3796]) ).
fof(f3798,plain,
( e22 != op2(e21,h3(e12))
| ~ spl0_270
| ~ spl0_43
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f1371,f2004]) ).
fof(f3799,plain,
( e22 != op2(e21,e21)
| ~ spl0_270
| ~ spl0_43
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f1371,f3798]) ).
fof(f3800,plain,
( e22 != e22
| ~ spl0_86
| ~ spl0_270
| ~ spl0_43
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f3091,f3799]) ).
fof(f3801,plain,
( $false
| ~ spl0_86
| ~ spl0_270
| ~ spl0_43
| spl0_194 ),
inference(trivial_equality_resolution,[status(esa)],[f3800]) ).
fof(f3802,plain,
( ~ spl0_86
| ~ spl0_270
| ~ spl0_43
| spl0_194 ),
inference(contradiction_clause,[status(thm)],[f3801]) ).
fof(f3807,plain,
( h4(op1(e10,e10)) != e20
| ~ spl0_241
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f2553,f1879]) ).
fof(f3844,plain,
( op1(op1(e10,e12),e11) = e12
| ~ spl0_9
| ~ spl0_300 ),
inference(backward_demodulation,[status(thm)],[f432,f1489]) ).
fof(f3845,plain,
( op1(e11,e11) = e12
| ~ spl0_9
| ~ spl0_300 ),
inference(forward_demodulation,[status(thm)],[f432,f3844]) ).
fof(f3909,plain,
( e20 != e20
| ~ spl0_86
| ~ spl0_88
| spl0_252 ),
inference(forward_demodulation,[status(thm)],[f3597,f1300]) ).
fof(f3910,plain,
( $false
| ~ spl0_86
| ~ spl0_88
| spl0_252 ),
inference(trivial_equality_resolution,[status(esa)],[f3909]) ).
fof(f3911,plain,
( ~ spl0_86
| ~ spl0_88
| spl0_252 ),
inference(contradiction_clause,[status(thm)],[f3910]) ).
fof(f3914,plain,
( h4(e10) != op2(e21,e22)
| ~ spl0_24
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f481,f2426]) ).
fof(f3915,plain,
( e20 != op2(e21,e22)
| ~ spl0_24
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f1871,f3914]) ).
fof(f3916,plain,
( e20 != e20
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195
| ~ spl0_24
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f3557,f3915]) ).
fof(f3917,plain,
( $false
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195
| ~ spl0_24
| spl0_213 ),
inference(trivial_equality_resolution,[status(esa)],[f3916]) ).
fof(f3918,plain,
( ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195
| ~ spl0_24
| spl0_213 ),
inference(contradiction_clause,[status(thm)],[f3917]) ).
fof(f3925,plain,
( h4(e11) != op2(e20,e22)
| ~ spl0_9
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f432,f2423]) ).
fof(f3926,plain,
( e21 != op2(e20,e22)
| ~ spl0_9
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f1737,f3925]) ).
fof(f3927,plain,
( e21 != e21
| ~ spl0_270
| ~ spl0_108
| ~ spl0_107
| ~ spl0_9
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f3591,f3926]) ).
fof(f3928,plain,
( $false
| ~ spl0_270
| ~ spl0_108
| ~ spl0_107
| ~ spl0_9
| spl0_209 ),
inference(trivial_equality_resolution,[status(esa)],[f3927]) ).
fof(f3929,plain,
( ~ spl0_270
| ~ spl0_108
| ~ spl0_107
| ~ spl0_9
| spl0_209 ),
inference(contradiction_clause,[status(thm)],[f3928]) ).
fof(f3980,plain,
( h3(e11) != e23
| ~ spl0_17
| ~ spl0_115
| ~ spl0_108
| ~ spl0_204
| ~ spl0_107
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f458,f3455]) ).
fof(f3981,plain,
( e23 != e23
| ~ spl0_17
| ~ spl0_115
| ~ spl0_108
| ~ spl0_204
| ~ spl0_107
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f1128,f3980]) ).
fof(f3982,plain,
( $false
| ~ spl0_17
| ~ spl0_115
| ~ spl0_108
| ~ spl0_204
| ~ spl0_107
| spl0_188 ),
inference(trivial_equality_resolution,[status(esa)],[f3981]) ).
fof(f3983,plain,
( ~ spl0_17
| ~ spl0_115
| ~ spl0_108
| ~ spl0_204
| ~ spl0_107
| spl0_188 ),
inference(contradiction_clause,[status(thm)],[f3982]) ).
fof(f3992,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_44
| spl0_149 ),
inference(forward_demodulation,[status(thm)],[f2580,f3523]) ).
fof(f3993,plain,
( e20 != e20
| ~ spl0_241
| ~ spl0_44
| spl0_149 ),
inference(forward_demodulation,[status(thm)],[f2553,f3992]) ).
fof(f3994,plain,
( $false
| ~ spl0_241
| ~ spl0_44
| spl0_149 ),
inference(trivial_equality_resolution,[status(esa)],[f3993]) ).
fof(f3995,plain,
( ~ spl0_241
| ~ spl0_44
| spl0_149 ),
inference(contradiction_clause,[status(thm)],[f3994]) ).
fof(f4018,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_31
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f1255,f3209]) ).
fof(f4019,plain,
( e20 != e20
| ~ spl0_241
| ~ spl0_31
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f2553,f4018]) ).
fof(f4020,plain,
( $false
| ~ spl0_241
| ~ spl0_31
| spl0_145 ),
inference(trivial_equality_resolution,[status(esa)],[f4019]) ).
fof(f4021,plain,
( ~ spl0_241
| ~ spl0_31
| spl0_145 ),
inference(contradiction_clause,[status(thm)],[f4020]) ).
fof(f4026,plain,
( e20 != op2(h1(e11),h1(e12))
| ~ spl0_241
| ~ spl0_24
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f2567,f3214]) ).
fof(f4027,plain,
( e20 != op2(e20,h1(e12))
| ~ spl0_241
| ~ spl0_24
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f1255,f4026]) ).
fof(f4028,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_24
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f2580,f4027]) ).
fof(f4029,plain,
( e20 != e20
| ~ spl0_241
| ~ spl0_24
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f2553,f4028]) ).
fof(f4030,plain,
( $false
| ~ spl0_241
| ~ spl0_24
| spl0_144 ),
inference(trivial_equality_resolution,[status(esa)],[f4029]) ).
fof(f4031,plain,
( ~ spl0_241
| ~ spl0_24
| spl0_144 ),
inference(contradiction_clause,[status(thm)],[f4030]) ).
fof(f4036,plain,
( h1(e12) != op2(h1(e11),h1(e11))
| ~ spl0_22
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f474,f937]) ).
fof(f4037,plain,
( e20 != op2(h1(e11),h1(e11))
| ~ spl0_241
| ~ spl0_22
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f2580,f4036]) ).
fof(f4038,plain,
( e20 != op2(e20,h1(e11))
| ~ spl0_241
| ~ spl0_22
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f1255,f4037]) ).
fof(f4039,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_22
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f1255,f4038]) ).
fof(f4040,plain,
( e20 != e20
| ~ spl0_241
| ~ spl0_22
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f2553,f4039]) ).
fof(f4041,plain,
( $false
| ~ spl0_241
| ~ spl0_22
| spl0_143 ),
inference(trivial_equality_resolution,[status(esa)],[f4040]) ).
fof(f4042,plain,
( ~ spl0_241
| ~ spl0_22
| spl0_143 ),
inference(contradiction_clause,[status(thm)],[f4041]) ).
fof(f4047,plain,
( h1(e11) != op2(h1(e10),h1(e12))
| ~ spl0_9
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f432,f928]) ).
fof(f4048,plain,
( e20 != op2(h1(e10),h1(e12))
| ~ spl0_241
| ~ spl0_9
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f1255,f4047]) ).
fof(f4049,plain,
( e20 != op2(e20,h1(e12))
| ~ spl0_241
| ~ spl0_9
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2567,f4048]) ).
fof(f4050,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_9
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2580,f4049]) ).
fof(f4051,plain,
( e20 != e20
| ~ spl0_241
| ~ spl0_9
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2553,f4050]) ).
fof(f4052,plain,
( $false
| ~ spl0_241
| ~ spl0_9
| spl0_140 ),
inference(trivial_equality_resolution,[status(esa)],[f4051]) ).
fof(f4053,plain,
( ~ spl0_241
| ~ spl0_9
| spl0_140 ),
inference(contradiction_clause,[status(thm)],[f4052]) ).
fof(f4058,plain,
( h1(e13) != op2(h1(e10),h1(e11))
| ~ spl0_7
| spl0_139 ),
inference(forward_demodulation,[status(thm)],[f425,f925]) ).
fof(f4059,plain,
( e20 != op2(h1(e10),h1(e11))
| ~ spl0_7
| spl0_139 ),
inference(forward_demodulation,[status(thm)],[f258,f4058]) ).
fof(f4060,plain,
( e20 != op2(e20,h1(e11))
| ~ spl0_241
| ~ spl0_7
| spl0_139 ),
inference(forward_demodulation,[status(thm)],[f2567,f4059]) ).
fof(f4061,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_7
| spl0_139 ),
inference(forward_demodulation,[status(thm)],[f1255,f4060]) ).
fof(f4062,plain,
( e20 != e20
| ~ spl0_241
| ~ spl0_7
| spl0_139 ),
inference(forward_demodulation,[status(thm)],[f2553,f4061]) ).
fof(f4063,plain,
( $false
| ~ spl0_241
| ~ spl0_7
| spl0_139 ),
inference(trivial_equality_resolution,[status(esa)],[f4062]) ).
fof(f4064,plain,
( ~ spl0_241
| ~ spl0_7
| spl0_139 ),
inference(contradiction_clause,[status(thm)],[f4063]) ).
fof(f4069,plain,
( h1(e10) != op2(h1(e10),h1(e10))
| ~ spl0_0
| spl0_138 ),
inference(forward_demodulation,[status(thm)],[f403,f922]) ).
fof(f4070,plain,
( e20 != op2(h1(e10),h1(e10))
| ~ spl0_241
| ~ spl0_0
| spl0_138 ),
inference(forward_demodulation,[status(thm)],[f2567,f4069]) ).
fof(f4071,plain,
( e20 != op2(e20,h1(e10))
| ~ spl0_241
| ~ spl0_0
| spl0_138 ),
inference(forward_demodulation,[status(thm)],[f2567,f4070]) ).
fof(f4072,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_0
| spl0_138 ),
inference(forward_demodulation,[status(thm)],[f2567,f4071]) ).
fof(f4073,plain,
( e20 != e20
| ~ spl0_241
| ~ spl0_0
| spl0_138 ),
inference(forward_demodulation,[status(thm)],[f2553,f4072]) ).
fof(f4074,plain,
( $false
| ~ spl0_241
| ~ spl0_0
| spl0_138 ),
inference(trivial_equality_resolution,[status(esa)],[f4073]) ).
fof(f4075,plain,
( ~ spl0_241
| ~ spl0_0
| spl0_138 ),
inference(contradiction_clause,[status(thm)],[f4074]) ).
fof(f4080,plain,
( op1(e13,op1(e12,e12)) = e12
| ~ spl0_43
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f542,f1224]) ).
fof(f4081,plain,
( op1(e13,e13) = e12
| ~ spl0_43
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f542,f4080]) ).
fof(f4082,plain,
( e11 = e12
| ~ spl0_43
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f253,f4081]) ).
fof(f4083,plain,
( $false
| ~ spl0_43
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[status(thm)],[f4082,f215]) ).
fof(f4084,plain,
( ~ spl0_43
| ~ spl0_233 ),
inference(contradiction_clause,[status(thm)],[f4083]) ).
fof(f4085,plain,
( op1(e12,op1(e11,e11)) = e11
| ~ spl0_22
| ~ spl0_290 ),
inference(forward_demodulation,[status(thm)],[f474,f1450]) ).
fof(f4086,plain,
( op1(e12,e12) = e11
| ~ spl0_22
| ~ spl0_290 ),
inference(forward_demodulation,[status(thm)],[f474,f4085]) ).
fof(f4087,plain,
( e13 = e11
| ~ spl0_43
| ~ spl0_22
| ~ spl0_290 ),
inference(forward_demodulation,[status(thm)],[f542,f4086]) ).
fof(f4088,plain,
( $false
| ~ spl0_43
| ~ spl0_22
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[status(thm)],[f4087,f216]) ).
fof(f4089,plain,
( ~ spl0_43
| ~ spl0_22
| ~ spl0_290 ),
inference(contradiction_clause,[status(thm)],[f4088]) ).
fof(f4090,plain,
( op2(e21,op2(e22,e21)) = e21
| ~ spl0_101
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f763,f1239]) ).
fof(f4091,plain,
( op2(e21,e21) = e21
| ~ spl0_101
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f763,f4090]) ).
fof(f4092,plain,
( e22 = e21
| ~ spl0_86
| ~ spl0_101
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f3091,f4091]) ).
fof(f4093,plain,
( $false
| ~ spl0_86
| ~ spl0_101
| ~ spl0_237 ),
inference(forward_subsumption_resolution,[status(thm)],[f4092,f221]) ).
fof(f4094,plain,
( ~ spl0_86
| ~ spl0_101
| ~ spl0_237 ),
inference(contradiction_clause,[status(thm)],[f4093]) ).
fof(f4095,plain,
( op2(e22,h2(e11)) = e21
| ~ spl0_86
| ~ spl0_295 ),
inference(forward_demodulation,[status(thm)],[f2519,f2435]) ).
fof(f4096,plain,
( op2(e22,e22) = e21
| ~ spl0_86
| ~ spl0_295 ),
inference(forward_demodulation,[status(thm)],[f2519,f4095]) ).
fof(f4100,plain,
( op2(e20,op2(e21,e22)) = e22
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195
| ~ spl0_296 ),
inference(forward_demodulation,[status(thm)],[f3557,f1473]) ).
fof(f4101,plain,
( op2(e20,e20) = e22
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195
| ~ spl0_296 ),
inference(forward_demodulation,[status(thm)],[f3557,f4100]) ).
fof(f4102,plain,
( e20 = e22
| ~ spl0_241
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195
| ~ spl0_296 ),
inference(forward_demodulation,[status(thm)],[f2553,f4101]) ).
fof(f4103,plain,
( $false
| ~ spl0_241
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[status(thm)],[f4102,f219]) ).
fof(f4104,plain,
( ~ spl0_241
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195
| ~ spl0_296 ),
inference(contradiction_clause,[status(thm)],[f4103]) ).
fof(f4115,plain,
( h1(e12) != op2(e20,h1(e12))
| ~ spl0_58
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f591,f1609]) ).
fof(f4116,plain,
( e20 != op2(e20,h1(e12))
| ~ spl0_241
| ~ spl0_58
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2580,f4115]) ).
fof(f4117,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_58
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2580,f4116]) ).
fof(f4118,plain,
( e20 != e20
| ~ spl0_241
| ~ spl0_58
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2553,f4117]) ).
fof(f4119,plain,
( $false
| ~ spl0_241
| ~ spl0_58
| spl0_152 ),
inference(trivial_equality_resolution,[status(esa)],[f4118]) ).
fof(f4120,plain,
( ~ spl0_241
| ~ spl0_58
| spl0_152 ),
inference(contradiction_clause,[status(thm)],[f4119]) ).
fof(f4137,plain,
( h3(e10) != op2(e20,e20)
| ~ spl0_0
| ~ spl0_108
| ~ spl0_204
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f403,f2981]) ).
fof(f4138,plain,
( e20 != op2(e20,e20)
| ~ spl0_0
| ~ spl0_108
| ~ spl0_204
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f2708,f4137]) ).
fof(f4139,plain,
( e20 != e20
| ~ spl0_241
| ~ spl0_0
| ~ spl0_108
| ~ spl0_204
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f2553,f4138]) ).
fof(f4140,plain,
( $false
| ~ spl0_241
| ~ spl0_0
| ~ spl0_108
| ~ spl0_204
| spl0_184 ),
inference(trivial_equality_resolution,[status(esa)],[f4139]) ).
fof(f4141,plain,
( ~ spl0_241
| ~ spl0_0
| ~ spl0_108
| ~ spl0_204
| spl0_184 ),
inference(contradiction_clause,[status(thm)],[f4140]) ).
fof(f4142,plain,
( h3(e13) != op2(e22,h3(e10))
| ~ spl0_51
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f568,f1977]) ).
fof(f4143,plain,
( e22 != op2(e22,h3(e10))
| ~ spl0_51
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f266,f4142]) ).
fof(f4144,plain,
( e22 != op2(e22,e20)
| ~ spl0_108
| ~ spl0_204
| ~ spl0_51
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f2708,f4143]) ).
fof(f4145,plain,
( e22 != e22
| ~ spl0_98
| ~ spl0_108
| ~ spl0_204
| ~ spl0_51
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f753,f4144]) ).
fof(f4146,plain,
( $false
| ~ spl0_98
| ~ spl0_108
| ~ spl0_204
| ~ spl0_51
| spl0_196 ),
inference(trivial_equality_resolution,[status(esa)],[f4145]) ).
fof(f4147,plain,
( ~ spl0_98
| ~ spl0_108
| ~ spl0_204
| ~ spl0_51
| spl0_196 ),
inference(contradiction_clause,[status(thm)],[f4146]) ).
fof(f4167,plain,
( e20 != op2(e21,h2(e11))
| ~ spl0_86
| ~ spl0_88
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f3597,f1936]) ).
fof(f4168,plain,
( e20 != op2(e21,e22)
| ~ spl0_86
| ~ spl0_88
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f2519,f4167]) ).
fof(f4169,plain,
( e20 != e20
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195
| ~ spl0_86
| ~ spl0_88
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f3557,f4168]) ).
fof(f4170,plain,
( $false
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195
| ~ spl0_86
| ~ spl0_88
| spl0_174 ),
inference(trivial_equality_resolution,[status(esa)],[f4169]) ).
fof(f4171,plain,
( ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| ~ spl0_44
| ~ spl0_195
| ~ spl0_86
| ~ spl0_88
| spl0_174 ),
inference(contradiction_clause,[status(thm)],[f4170]) ).
fof(f4172,plain,
( h4(e13) != e23
| ~ spl0_31
| ~ spl0_95
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f503,f2819]) ).
fof(f4173,plain,
( e23 != e23
| ~ spl0_31
| ~ spl0_95
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f270,f4172]) ).
fof(f4174,plain,
( $false
| ~ spl0_31
| ~ spl0_95
| spl0_214 ),
inference(trivial_equality_resolution,[status(esa)],[f4173]) ).
fof(f4175,plain,
( ~ spl0_31
| ~ spl0_95
| spl0_214 ),
inference(contradiction_clause,[status(thm)],[f4174]) ).
fof(f4176,plain,
( h1(e13) != op2(e20,h1(e10))
| ~ spl0_51
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f568,f1607]) ).
fof(f4177,plain,
( e20 != op2(e20,h1(e10))
| ~ spl0_51
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f258,f4176]) ).
fof(f4178,plain,
( e20 != op2(e20,e20)
| ~ spl0_241
| ~ spl0_51
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f2567,f4177]) ).
fof(f4179,plain,
( e20 != e20
| ~ spl0_241
| ~ spl0_51
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f2553,f4178]) ).
fof(f4180,plain,
( $false
| ~ spl0_241
| ~ spl0_51
| spl0_150 ),
inference(trivial_equality_resolution,[status(esa)],[f4179]) ).
fof(f4181,plain,
( ~ spl0_241
| ~ spl0_51
| spl0_150 ),
inference(contradiction_clause,[status(thm)],[f4180]) ).
fof(f4186,plain,
( h3(e11) != e23
| ~ spl0_9
| ~ spl0_71
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f432,f3539]) ).
fof(f4187,plain,
( e23 != e23
| ~ spl0_9
| ~ spl0_71
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f1128,f4186]) ).
fof(f4188,plain,
( $false
| ~ spl0_9
| ~ spl0_71
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| spl0_186 ),
inference(trivial_equality_resolution,[status(esa)],[f4187]) ).
fof(f4189,plain,
( ~ spl0_9
| ~ spl0_71
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| spl0_186 ),
inference(contradiction_clause,[status(thm)],[f4188]) ).
fof(f4194,plain,
( h3(e12) != op2(e21,e20)
| ~ spl0_34
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f513,f3540]) ).
fof(f4195,plain,
( e21 != op2(e21,e20)
| ~ spl0_34
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f1371,f4194]) ).
fof(f4196,plain,
( e21 != e21
| ~ spl0_81
| ~ spl0_34
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f698,f4195]) ).
fof(f4197,plain,
( $false
| ~ spl0_81
| ~ spl0_34
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| spl0_192 ),
inference(trivial_equality_resolution,[status(esa)],[f4196]) ).
fof(f4198,plain,
( ~ spl0_81
| ~ spl0_34
| ~ spl0_270
| ~ spl0_108
| ~ spl0_204
| spl0_192 ),
inference(contradiction_clause,[status(thm)],[f4197]) ).
fof(f4199,plain,
( e20 != op2(e23,e21)
| ~ spl0_182
| ~ spl0_86
| ~ spl0_88
| ~ spl0_44
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f1059,f3599]) ).
fof(f4200,plain,
( e20 != e20
| ~ spl0_182
| ~ spl0_86
| ~ spl0_88
| ~ spl0_44
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f1875,f4199]) ).
fof(f4201,plain,
( $false
| ~ spl0_182
| ~ spl0_86
| ~ spl0_88
| ~ spl0_44
| spl0_172 ),
inference(trivial_equality_resolution,[status(esa)],[f4200]) ).
fof(f4202,plain,
( ~ spl0_182
| ~ spl0_86
| ~ spl0_88
| ~ spl0_44
| spl0_172 ),
inference(contradiction_clause,[status(thm)],[f4201]) ).
fof(f4234,plain,
( ~ spl0_23
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f3175,f476,f502]) ).
fof(f4266,plain,
( spl0_22
| ~ spl0_9
| ~ spl0_300 ),
inference(split_clause,[status(thm)],[f3845,f473,f431,f1488]) ).
fof(f4305,plain,
( h4(e13) != e23
| ~ spl0_51
| ~ spl0_115
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f568,f3757]) ).
fof(f4306,plain,
( e23 != e23
| ~ spl0_51
| ~ spl0_115
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f270,f4305]) ).
fof(f4307,plain,
( $false
| ~ spl0_51
| ~ spl0_115
| spl0_219 ),
inference(trivial_equality_resolution,[status(esa)],[f4306]) ).
fof(f4308,plain,
( ~ spl0_51
| ~ spl0_115
| spl0_219 ),
inference(contradiction_clause,[status(thm)],[f4307]) ).
fof(f4318,plain,
( h3(e10) != e20
| ~ spl0_24
| ~ spl0_270
| ~ spl0_107
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f481,f3544]) ).
fof(f4319,plain,
( ~ spl0_264
| ~ spl0_24
| ~ spl0_270
| ~ spl0_107
| spl0_190 ),
inference(split_clause,[status(thm)],[f4318,f1346,f480,f1370,f781,f1084]) ).
fof(f4370,plain,
( h3(e13) != e22
| ~ spl0_7
| ~ spl0_108
| ~ spl0_204
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f425,f2977]) ).
fof(f4371,plain,
( e22 != e22
| ~ spl0_7
| ~ spl0_108
| ~ spl0_204
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f266,f4370]) ).
fof(f4372,plain,
( $false
| ~ spl0_7
| ~ spl0_108
| ~ spl0_204
| spl0_185 ),
inference(trivial_equality_resolution,[status(esa)],[f4371]) ).
fof(f4373,plain,
( ~ spl0_7
| ~ spl0_108
| ~ spl0_204
| spl0_185 ),
inference(contradiction_clause,[status(thm)],[f4372]) ).
fof(f4395,plain,
( spl0_86
| ~ spl0_270
| ~ spl0_108
| ~ spl0_107
| ~ spl0_304 ),
inference(split_clause,[status(thm)],[f3596,f713,f1370,f785,f781,f1504]) ).
fof(f4418,plain,
( ~ spl0_71
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f2127,f664,f716]) ).
fof(f4419,plain,
( e22 != h2(e10)
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f2119,f2133]) ).
fof(f4423,plain,
( ~ spl0_256
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f1896,f1314,f716]) ).
fof(f4425,plain,
( h4(e11) != e21
| ~ spl0_37
| ~ spl0_101
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f523,f3773]) ).
fof(f4426,plain,
( e21 != e21
| ~ spl0_37
| ~ spl0_101
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f1737,f4425]) ).
fof(f4427,plain,
( $false
| ~ spl0_37
| ~ spl0_101
| spl0_216 ),
inference(trivial_equality_resolution,[status(esa)],[f4426]) ).
fof(f4428,plain,
( ~ spl0_37
| ~ spl0_101
| spl0_216 ),
inference(contradiction_clause,[status(thm)],[f4427]) ).
fof(f4431,plain,
( spl0_86
| ~ spl0_22
| ~ spl0_212 ),
inference(split_clause,[status(thm)],[f3674,f713,f473,f1154]) ).
fof(f4436,plain,
( ~ spl0_99
| ~ spl0_111 ),
inference(split_clause,[status(thm)],[f1520,f755,f794]) ).
fof(f4468,plain,
( h4(e10) != e20
| ~ spl0_0
| ~ spl0_241
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f403,f3807]) ).
fof(f4469,plain,
( e20 != e20
| ~ spl0_0
| ~ spl0_241
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1871,f4468]) ).
fof(f4470,plain,
( $false
| ~ spl0_0
| ~ spl0_241
| spl0_207 ),
inference(trivial_equality_resolution,[status(esa)],[f4469]) ).
fof(f4471,plain,
( ~ spl0_0
| ~ spl0_241
| spl0_207 ),
inference(contradiction_clause,[status(thm)],[f4470]) ).
fof(f4479,plain,
( ~ spl0_90
| ~ spl0_86 ),
inference(split_clause,[status(thm)],[f3290,f726,f713]) ).
fof(f4487,plain,
( h4(e13) != e23
| ~ spl0_7
| ~ spl0_71
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f425,f3763]) ).
fof(f4488,plain,
( e23 != e23
| ~ spl0_7
| ~ spl0_71
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f270,f4487]) ).
fof(f4489,plain,
( $false
| ~ spl0_7
| ~ spl0_71
| spl0_208 ),
inference(trivial_equality_resolution,[status(esa)],[f4488]) ).
fof(f4490,plain,
( ~ spl0_7
| ~ spl0_71
| spl0_208 ),
inference(contradiction_clause,[status(thm)],[f4489]) ).
fof(f4491,plain,
( ~ spl0_98
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f2714,f752,f765]) ).
fof(f4504,plain,
( op2(e20,e22) != e23
| ~ spl0_123 ),
inference(backward_demodulation,[status(thm)],[f834,f178]) ).
fof(f4505,plain,
( ~ spl0_75
| ~ spl0_123 ),
inference(split_clause,[status(thm)],[f4504,f677,f833]) ).
fof(f4518,plain,
( ~ spl0_181
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f2778,f1054,f664]) ).
fof(f4520,plain,
( op2(e23,op2(e23,e22)) = e22
| ~ spl0_123
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f834,f913]) ).
fof(f4521,plain,
( op2(e23,e23) = e22
| ~ spl0_123
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f834,f4520]) ).
fof(f4522,plain,
( e21 = e22
| ~ spl0_123
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f256,f4521]) ).
fof(f4523,plain,
( $false
| ~ spl0_123
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[status(thm)],[f4522,f221]) ).
fof(f4524,plain,
( ~ spl0_123
| ~ spl0_136 ),
inference(contradiction_clause,[status(thm)],[f4523]) ).
fof(f4528,plain,
( spl0_105
| ~ spl0_86
| ~ spl0_295 ),
inference(split_clause,[status(thm)],[f4096,f775,f713,f1468]) ).
fof(f4541,plain,
( ~ spl0_260
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f4419,f1330,f716]) ).
fof(f4564,plain,
( op2(e21,op2(e22,e20)) = e20
| ~ spl0_97
| ~ spl0_236 ),
inference(forward_demodulation,[status(thm)],[f750,f1235]) ).
fof(f4565,plain,
( op2(e21,e21) = e20
| ~ spl0_97
| ~ spl0_236 ),
inference(forward_demodulation,[status(thm)],[f750,f4564]) ).
fof(f4566,plain,
( h2(e11) = e20
| ~ spl0_97
| ~ spl0_236 ),
inference(forward_demodulation,[status(thm)],[f264,f4565]) ).
fof(f4567,plain,
( $false
| ~ spl0_97
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[status(thm)],[f4566,f2449]) ).
fof(f4568,plain,
( ~ spl0_97
| ~ spl0_236 ),
inference(contradiction_clause,[status(thm)],[f4567]) ).
fof(f4569,plain,
( $false
| ~ spl0_81
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[status(thm)],[f3052,f2449]) ).
fof(f4570,plain,
( ~ spl0_81
| ~ spl0_294 ),
inference(contradiction_clause,[status(thm)],[f4569]) ).
fof(f4571,plain,
( ~ spl0_257
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f2467,f1318,f658]) ).
fof(f4579,plain,
( ~ spl0_69
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f2720,f658,f710]) ).
fof(f4580,plain,
( ~ spl0_90
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f2719,f726,f700]) ).
fof(f4598,plain,
( op2(op2(e21,e23),e20) = e23
| ~ spl0_92
| ~ spl0_297 ),
inference(backward_demodulation,[status(thm)],[f734,f1477]) ).
fof(f4599,plain,
( op2(e20,e20) = e23
| ~ spl0_92
| ~ spl0_297 ),
inference(forward_demodulation,[status(thm)],[f734,f4598]) ).
fof(f4618,plain,
( h1(e11) = e21
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f646,f260]) ).
fof(f4661,plain,
( e21 != e21
| ~ spl0_105
| spl0_269 ),
inference(forward_demodulation,[status(thm)],[f2521,f1368]) ).
fof(f4662,plain,
( $false
| ~ spl0_105
| spl0_269 ),
inference(trivial_equality_resolution,[status(esa)],[f4661]) ).
fof(f4663,plain,
( ~ spl0_105
| spl0_269 ),
inference(contradiction_clause,[status(thm)],[f4662]) ).
fof(f4667,plain,
( op2(op2(e21,e20),e23) = e20
| ~ spl0_83
| ~ spl0_294 ),
inference(backward_demodulation,[status(thm)],[f704,f1465]) ).
fof(f4668,plain,
( op2(e23,e23) = e20
| ~ spl0_83
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f704,f4667]) ).
fof(f4669,plain,
( e21 = e20
| ~ spl0_83
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f256,f4668]) ).
fof(f4670,plain,
( $false
| ~ spl0_83
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[status(thm)],[f4669,f218]) ).
fof(f4671,plain,
( ~ spl0_83
| ~ spl0_294 ),
inference(contradiction_clause,[status(thm)],[f4670]) ).
fof(f4675,plain,
( e20 = e23
| ~ spl0_111
| ~ spl0_44
| ~ spl0_218 ),
inference(forward_demodulation,[status(thm)],[f795,f3663]) ).
fof(f4676,plain,
( $false
| ~ spl0_111
| ~ spl0_44
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[status(thm)],[f4675,f220]) ).
fof(f4677,plain,
( ~ spl0_111
| ~ spl0_44
| ~ spl0_218 ),
inference(contradiction_clause,[status(thm)],[f4676]) ).
fof(f4683,plain,
( ~ spl0_82
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f3073,f700,f752]) ).
fof(f4685,plain,
( ~ spl0_269
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f3109,f1366,f723]) ).
fof(f4695,plain,
( ~ spl0_181
| spl0_87 ),
inference(split_clause,[status(thm)],[f3086,f1054,f716]) ).
fof(f4696,plain,
( ~ spl0_82
| ~ spl0_86 ),
inference(split_clause,[status(thm)],[f3433,f700,f713]) ).
fof(f4697,plain,
( ~ spl0_75
| ~ spl0_91 ),
inference(split_clause,[status(thm)],[f1691,f677,f729]) ).
fof(f4698,plain,
( spl0_67
| ~ spl0_92
| ~ spl0_297 ),
inference(split_clause,[status(thm)],[f4599,f651,f733,f1476]) ).
fof(f4699,plain,
( spl0_245
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f4618,f1270,f645]) ).
fof(f4701,plain,
( ~ spl0_261
| ~ spl0_82 ),
inference(split_clause,[status(thm)],[f2718,f1334,f700]) ).
fof(f4705,plain,
( e20 = e23
| ~ spl0_72
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f669,f678]) ).
fof(f4706,plain,
( $false
| ~ spl0_72
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f4705,f220]) ).
fof(f4707,plain,
( ~ spl0_72
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f4706]) ).
fof(f4708,plain,
( ~ spl0_115
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f1773,f807,f703]) ).
fof(f4709,plain,
( op2(e23,op2(e22,e23)) = e23
| ~ spl0_111
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f795,f1247]) ).
fof(f4710,plain,
( op2(e23,e23) = e23
| ~ spl0_111
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f795,f4709]) ).
fof(f4711,plain,
( e21 = e23
| ~ spl0_111
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f256,f4710]) ).
fof(f4712,plain,
( $false
| ~ spl0_111
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[status(thm)],[f4711,f222]) ).
fof(f4713,plain,
( ~ spl0_111
| ~ spl0_239 ),
inference(contradiction_clause,[status(thm)],[f4712]) ).
fof(f4720,plain,
( ~ spl0_91
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f2221,f729,f781]) ).
fof(f4724,plain,
$false,
inference(sat_refutation,[status(thm)],[f427,f440,f466,f479,f492,f505,f518,f531,f544,f557,f583,f609,f610,f611,f612,f613,f615,f616,f617,f618,f620,f621,f622,f623,f625,f626,f627,f628,f629,f630,f631,f632,f633,f638,f639,f640,f667,f680,f706,f719,f745,f758,f771,f784,f797,f810,f823,f850,f851,f852,f853,f855,f856,f857,f858,f860,f861,f862,f863,f864,f865,f869,f870,f871,f872,f875,f876,f878,f880,f881,f888,f892,f896,f900,f907,f915,f919,f1130,f1218,f1222,f1226,f1230,f1237,f1249,f1265,f1273,f1277,f1285,f1301,f1329,f1337,f1341,f1349,f1353,f1357,f1361,f1369,f1373,f1393,f1397,f1417,f1437,f1448,f1452,f1456,f1460,f1467,f1471,f1475,f1479,f1483,f1491,f1495,f1499,f1503,f1507,f1511,f1558,f1562,f1565,f1574,f1583,f1602,f1629,f1651,f1659,f1670,f1698,f1705,f1709,f1712,f1715,f1718,f1724,f1739,f1741,f1785,f1791,f1809,f1812,f1842,f1853,f1866,f1869,f1919,f1940,f1946,f1951,f1955,f1958,f1960,f1963,f1967,f1971,f1974,f1980,f1987,f1995,f2029,f2052,f2076,f2085,f2089,f2103,f2108,f2112,f2116,f2121,f2124,f2156,f2167,f2169,f2183,f2187,f2191,f2194,f2199,f2204,f2206,f2209,f2225,f2228,f2230,f2235,f2238,f2240,f2241,f2242,f2243,f2254,f2262,f2265,f2268,f2271,f2287,f2308,f2319,f2321,f2328,f2335,f2339,f2343,f2345,f2361,f2363,f2366,f2367,f2368,f2369,f2373,f2376,f2380,f2382,f2384,f2385,f2386,f2388,f2389,f2391,f2404,f2408,f2416,f2445,f2454,f2461,f2473,f2477,f2484,f2489,f2493,f2499,f2501,f2504,f2507,f2510,f2512,f2525,f2531,f2539,f2541,f2557,f2566,f2573,f2576,f2578,f2582,f2591,f2601,f2609,f2612,f2615,f2618,f2620,f2647,f2648,f2651,f2666,f2673,f2705,f2754,f2759,f2765,f2766,f2770,f2777,f2783,f2784,f2785,f2788,f2794,f2799,f2804,f2807,f2808,f2818,f2821,f2823,f2825,f2829,f2839,f2872,f2880,f2931,f2934,f2936,f2941,f2947,f2955,f2994,f3006,f3034,f3039,f3044,f3049,f3062,f3063,f3076,f3077,f3078,f3083,f3084,f3085,f3087,f3094,f3095,f3096,f3097,f3129,f3164,f3170,f3182,f3202,f3225,f3228,f3229,f3249,f3252,f3323,f3324,f3327,f3328,f3337,f3344,f3352,f3381,f3405,f3408,f3412,f3423,f3505,f3535,f3537,f3550,f3558,f3559,f3560,f3581,f3606,f3659,f3670,f3685,f3737,f3740,f3751,f3786,f3792,f3797,f3802,f3911,f3918,f3929,f3983,f3995,f4021,f4031,f4042,f4053,f4064,f4075,f4084,f4089,f4094,f4104,f4120,f4141,f4147,f4171,f4175,f4181,f4189,f4198,f4202,f4234,f4266,f4308,f4319,f4373,f4395,f4418,f4423,f4428,f4431,f4436,f4471,f4479,f4490,f4491,f4505,f4518,f4524,f4528,f4541,f4568,f4570,f4571,f4579,f4580,f4663,f4671,f4677,f4683,f4685,f4695,f4696,f4697,f4698,f4699,f4701,f4707,f4708,f4713,f4720]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG116+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:23:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 4.70/0.97 % Refutation found
% 4.70/0.97 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.70/0.97 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.82/0.99 % Elapsed time: 0.642399 seconds
% 4.82/0.99 % CPU time: 4.901272 seconds
% 4.82/0.99 % Total memory used: 63.181 MB
% 4.82/0.99 % Net memory used: 61.558 MB
%------------------------------------------------------------------------------