%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG104+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:12 AM UTC 2026
% Result : Theorem 74.31s 10.14s
% Output : CNFRefutation 3.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 589
% Syntax : Number of formulae : 4499 ( 231 unt; 572 def)
% Number of atoms : 16229 (7003 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 21121 (9391 ~;8476 |;2626 &)
% ( 628 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 574 ( 572 usr; 573 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(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( ( op1(e13,op1(e13,e13)) != e13
& op1(e12,op1(e13,e13)) != e12
& op1(e11,op1(e13,e13)) != e11
& op1(e10,op1(e13,e13)) != e10
& op1(e13,e13) = op1(e13,e13) )
| ( op1(e13,op1(e13,e12)) != e13
& op1(e12,op1(e13,e12)) != e12
& op1(e11,op1(e13,e12)) != e11
& op1(e10,op1(e13,e12)) != e10
& op1(e12,e13) = op1(e13,e12) )
| ( op1(e13,op1(e13,e11)) != e13
& op1(e12,op1(e13,e11)) != e12
& op1(e11,op1(e13,e11)) != e11
& op1(e10,op1(e13,e11)) != e10
& op1(e11,e13) = op1(e13,e11) )
| ( op1(e13,op1(e13,e10)) != e13
& op1(e12,op1(e13,e10)) != e12
& op1(e11,op1(e13,e10)) != e11
& op1(e10,op1(e13,e10)) != e10
& op1(e10,e13) = op1(e13,e10) )
| ( op1(e13,op1(e12,e13)) != e13
& op1(e12,op1(e12,e13)) != e12
& op1(e11,op1(e12,e13)) != e11
& op1(e10,op1(e12,e13)) != e10
& op1(e13,e12) = op1(e12,e13) )
| ( op1(e13,op1(e12,e12)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e11,op1(e12,e12)) != e11
& op1(e10,op1(e12,e12)) != e10
& op1(e12,e12) = op1(e12,e12) )
| ( op1(e13,op1(e12,e11)) != e13
& op1(e12,op1(e12,e11)) != e12
& op1(e11,op1(e12,e11)) != e11
& op1(e10,op1(e12,e11)) != e10
& op1(e11,e12) = op1(e12,e11) )
| ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) )
| ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) )
& ( ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,op1(e13,e13)) != e13 )
| ( op1(op1(e13,e12),e12) != e13
& op1(op1(e13,e12),e13) = e12
& op1(e13,op1(e13,e12)) != e12 )
| ( op1(op1(e13,e11),e11) != e13
& op1(op1(e13,e11),e13) = e11
& op1(e13,op1(e13,e11)) != e11 )
| ( op1(op1(e13,e10),e10) != e13
& op1(op1(e13,e10),e13) = e10
& op1(e13,op1(e13,e10)) != e10 )
| ( op1(op1(e12,e13),e13) != e12
& op1(op1(e12,e13),e12) = e13
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,op1(e12,e12)) != e12 )
| ( op1(op1(e12,e11),e11) != e12
& op1(op1(e12,e11),e12) = e11
& op1(e12,op1(e12,e11)) != e11 )
| ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 )
| ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( op2(e23,op2(e23,e23)) != e23
& op2(e22,op2(e23,e23)) != e22
& op2(e21,op2(e23,e23)) != e21
& op2(e20,op2(e23,e23)) != e20
& op2(e23,e23) = op2(e23,e23) )
| ( op2(e23,op2(e23,e22)) != e23
& op2(e22,op2(e23,e22)) != e22
& op2(e21,op2(e23,e22)) != e21
& op2(e20,op2(e23,e22)) != e20
& op2(e22,e23) = op2(e23,e22) )
| ( op2(e23,op2(e23,e21)) != e23
& op2(e22,op2(e23,e21)) != e22
& op2(e21,op2(e23,e21)) != e21
& op2(e20,op2(e23,e21)) != e20
& op2(e21,e23) = op2(e23,e21) )
| ( op2(e23,op2(e23,e20)) != e23
& op2(e22,op2(e23,e20)) != e22
& op2(e21,op2(e23,e20)) != e21
& op2(e20,op2(e23,e20)) != e20
& op2(e20,e23) = op2(e23,e20) )
| ( op2(e23,op2(e22,e23)) != e23
& op2(e22,op2(e22,e23)) != e22
& op2(e21,op2(e22,e23)) != e21
& op2(e20,op2(e22,e23)) != e20
& op2(e23,e22) = op2(e22,e23) )
| ( op2(e23,op2(e22,e22)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e21,op2(e22,e22)) != e21
& op2(e20,op2(e22,e22)) != e20
& op2(e22,e22) = op2(e22,e22) )
| ( op2(e23,op2(e22,e21)) != e23
& op2(e22,op2(e22,e21)) != e22
& op2(e21,op2(e22,e21)) != e21
& op2(e20,op2(e22,e21)) != e20
& op2(e21,e22) = op2(e22,e21) )
| ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) )
| ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) )
& ( ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,op2(e23,e23)) != e23 )
| ( op2(op2(e23,e22),e22) != e23
& op2(op2(e23,e22),e23) = e22
& op2(e23,op2(e23,e22)) != e22 )
| ( op2(op2(e23,e21),e21) != e23
& op2(op2(e23,e21),e23) = e21
& op2(e23,op2(e23,e21)) != e21 )
| ( op2(op2(e23,e20),e20) != e23
& op2(op2(e23,e20),e23) = e20
& op2(e23,op2(e23,e20)) != e20 )
| ( op2(op2(e22,e23),e23) != e22
& op2(op2(e22,e23),e22) = e23
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,op2(e22,e22)) != e22 )
| ( op2(op2(e22,e21),e21) != e22
& op2(op2(e22,e21),e22) = e21
& op2(e22,op2(e22,e21)) != e21 )
| ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 )
| ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e13 = op1(e10,op1(e10,op1(e10,e10)))
& e12 = op1(e10,e10)
& e11 = op1(e10,op1(e10,e10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e23 = op2(e20,op2(e20,op2(e20,e20)))
& e22 = op2(e20,e20)
& e21 = op2(e20,op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = op2(e20,op2(e20,op2(e20,e20)))
& h1(e12) = op2(e20,e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e10) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = op2(e21,op2(e21,op2(e21,e21)))
& h2(e12) = op2(e21,e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e10) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = op2(e22,op2(e22,op2(e22,e22)))
& h3(e12) = op2(e22,e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e10) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = op2(e23,op2(e23,op2(e23,e23)))
& h4(e12) = op2(e23,e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e10) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f21,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f26,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f28,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f45,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f46,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f72,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f75,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f76,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f78,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f87,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f88,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f91,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f92,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f93,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f94,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f96,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f97,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f98,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f103,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f104,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f107,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f108,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f110,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f112,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f113,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f117,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f123,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f124,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f125,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f126,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f128,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f130,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f137,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f138,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f139,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f152,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f154,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f156,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f157,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f158,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f166,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f167,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f169,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f175,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f177,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f178,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f182,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f183,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f185,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f187,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f194,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f195,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f196,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f199,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f200,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f201,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f202,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f205,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f208,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f210,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f211,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f220,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f240,definition,
( sP0_prd
<=> ( ( op1(op1(e13,e12),e12) != e13
& op1(op1(e13,e12),e13) = e12
& op1(e13,op1(e13,e12)) != e12 )
| ( op1(op1(e13,e11),e11) != e13
& op1(op1(e13,e11),e13) = e11
& op1(e13,op1(e13,e11)) != e11 )
| ( op1(op1(e13,e10),e10) != e13
& op1(op1(e13,e10),e13) = e10
& op1(e13,op1(e13,e10)) != e10 )
| ( op1(op1(e12,e13),e13) != e12
& op1(op1(e12,e13),e12) = e13
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,op1(e12,e12)) != e12 )
| ( op1(op1(e12,e11),e11) != e12
& op1(op1(e12,e11),e12) = e11
& op1(e12,op1(e12,e11)) != e11 )
| ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 )
| ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,definition,
( sP1_prd
<=> ( ( op1(e13,op1(e13,e12)) != e13
& op1(e12,op1(e13,e12)) != e12
& op1(e11,op1(e13,e12)) != e11
& op1(e10,op1(e13,e12)) != e10
& op1(e12,e13) = op1(e13,e12) )
| ( op1(e13,op1(e13,e11)) != e13
& op1(e12,op1(e13,e11)) != e12
& op1(e11,op1(e13,e11)) != e11
& op1(e10,op1(e13,e11)) != e10
& op1(e11,e13) = op1(e13,e11) )
| ( op1(e13,op1(e13,e10)) != e13
& op1(e12,op1(e13,e10)) != e12
& op1(e11,op1(e13,e10)) != e11
& op1(e10,op1(e13,e10)) != e10
& op1(e10,e13) = op1(e13,e10) )
| ( op1(e13,op1(e12,e13)) != e13
& op1(e12,op1(e12,e13)) != e12
& op1(e11,op1(e12,e13)) != e11
& op1(e10,op1(e12,e13)) != e10
& op1(e13,e12) = op1(e12,e13) )
| ( op1(e13,op1(e12,e12)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e11,op1(e12,e12)) != e11
& op1(e10,op1(e12,e12)) != e10
& op1(e12,e12) = op1(e12,e12) )
| ( op1(e13,op1(e12,e11)) != e13
& op1(e12,op1(e12,e11)) != e12
& op1(e11,op1(e12,e11)) != e11
& op1(e10,op1(e12,e11)) != e10
& op1(e11,e12) = op1(e12,e11) )
| ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) )
| ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f242,plain,
( ( ( op1(e13,op1(e13,e13)) != e13
& op1(e12,op1(e13,e13)) != e12
& op1(e11,op1(e13,e13)) != e11
& op1(e10,op1(e13,e13)) != e10
& op1(e13,e13) = op1(e13,e13) )
| sP1_prd )
& ( ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,op1(e13,e13)) != e13 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f10,f241,f240]) ).
fof(f243,plain,
( op1(e13,op1(e13,e13)) != e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f244,plain,
( op1(op1(e13,e13),e13) = e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f245,plain,
( op1(op1(e13,e13),e13) != e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f246,plain,
( op1(e13,e13) = op1(e13,e13)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f247,plain,
( op1(e10,op1(e13,e13)) != e10
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f248,plain,
( op1(e11,op1(e13,e13)) != e11
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f249,plain,
( op1(e12,op1(e13,e13)) != e12
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f250,plain,
( op1(e13,op1(e13,e13)) != e13
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f251,definition,
( sP2_prd
<=> ( ( op2(op2(e23,e22),e22) != e23
& op2(op2(e23,e22),e23) = e22
& op2(e23,op2(e23,e22)) != e22 )
| ( op2(op2(e23,e21),e21) != e23
& op2(op2(e23,e21),e23) = e21
& op2(e23,op2(e23,e21)) != e21 )
| ( op2(op2(e23,e20),e20) != e23
& op2(op2(e23,e20),e23) = e20
& op2(e23,op2(e23,e20)) != e20 )
| ( op2(op2(e22,e23),e23) != e22
& op2(op2(e22,e23),e22) = e23
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,op2(e22,e22)) != e22 )
| ( op2(op2(e22,e21),e21) != e22
& op2(op2(e22,e21),e22) = e21
& op2(e22,op2(e22,e21)) != e21 )
| ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 )
| ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f252,definition,
( sP3_prd
<=> ( ( op2(e23,op2(e23,e22)) != e23
& op2(e22,op2(e23,e22)) != e22
& op2(e21,op2(e23,e22)) != e21
& op2(e20,op2(e23,e22)) != e20
& op2(e22,e23) = op2(e23,e22) )
| ( op2(e23,op2(e23,e21)) != e23
& op2(e22,op2(e23,e21)) != e22
& op2(e21,op2(e23,e21)) != e21
& op2(e20,op2(e23,e21)) != e20
& op2(e21,e23) = op2(e23,e21) )
| ( op2(e23,op2(e23,e20)) != e23
& op2(e22,op2(e23,e20)) != e22
& op2(e21,op2(e23,e20)) != e21
& op2(e20,op2(e23,e20)) != e20
& op2(e20,e23) = op2(e23,e20) )
| ( op2(e23,op2(e22,e23)) != e23
& op2(e22,op2(e22,e23)) != e22
& op2(e21,op2(e22,e23)) != e21
& op2(e20,op2(e22,e23)) != e20
& op2(e23,e22) = op2(e22,e23) )
| ( op2(e23,op2(e22,e22)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e21,op2(e22,e22)) != e21
& op2(e20,op2(e22,e22)) != e20
& op2(e22,e22) = op2(e22,e22) )
| ( op2(e23,op2(e22,e21)) != e23
& op2(e22,op2(e22,e21)) != e22
& op2(e21,op2(e22,e21)) != e21
& op2(e20,op2(e22,e21)) != e20
& op2(e21,e22) = op2(e22,e21) )
| ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) )
| ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f253,plain,
( ( ( op2(e23,op2(e23,e23)) != e23
& op2(e22,op2(e23,e23)) != e22
& op2(e21,op2(e23,e23)) != e21
& op2(e20,op2(e23,e23)) != e20
& op2(e23,e23) = op2(e23,e23) )
| sP3_prd )
& ( ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,op2(e23,e23)) != e23 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f11,f252,f251]) ).
fof(f254,plain,
( op2(e23,op2(e23,e23)) != e23
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f255,plain,
( op2(op2(e23,e23),e23) = e23
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f256,plain,
( op2(op2(e23,e23),e23) != e23
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f258,plain,
( op2(e20,op2(e23,e23)) != e20
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f261,plain,
( op2(e23,op2(e23,e23)) != e23
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f262,plain,
e11 = op1(e10,op1(e10,e10)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f263,plain,
e12 = op1(e10,e10),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f264,plain,
e13 = op1(e10,op1(e10,op1(e10,e10))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f265,plain,
e21 = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f266,plain,
e22 = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f267,plain,
e23 = op2(e20,op2(e20,op2(e20,e20))),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f268,plain,
h1(e10) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f269,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f270,plain,
h1(e12) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f271,plain,
h1(e13) = op2(e20,op2(e20,op2(e20,e20))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f272,plain,
h2(e10) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f273,plain,
h2(e11) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f274,plain,
h2(e12) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f275,plain,
h2(e13) = op2(e21,op2(e21,op2(e21,e21))),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f276,plain,
h3(e10) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f277,plain,
h3(e11) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f278,plain,
h3(e12) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f279,plain,
h3(e13) = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f280,plain,
h4(e10) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f281,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f282,plain,
h4(e12) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f283,plain,
h4(e13) = op2(e23,op2(e23,op2(e23,e23))),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f284,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f285,definition,
( sP4_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f286,definition,
( sP5_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f287,definition,
( sP6_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f288,definition,
( sP7_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f289,definition,
( sP8_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f290,definition,
( sP9_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f291,definition,
( sP10_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f292,definition,
( sP11_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f293,definition,
( sP12_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f294,definition,
( sP13_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f295,definition,
( sP14_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f296,definition,
( sP15_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f297,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP15_prd
| sP14_prd
| sP13_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| sP12_prd
| sP11_prd
| sP10_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| sP9_prd
| sP8_prd
| sP7_prd
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| sP6_prd
| sP5_prd
| sP4_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(formula_renaming,[status(thm)],[f284,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287,f286,f285]) ).
fof(f301,plain,
( h1(e13) != e23
| sP6_prd
| sP5_prd
| sP4_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[status(thm)],[f297]) ).
fof(f314,definition,
( sP16_prd
<=> ( ( op1(op1(e13,e11),e11) != e13
& op1(op1(e13,e11),e13) = e11
& op1(e13,op1(e13,e11)) != e11 )
| ( op1(op1(e13,e10),e10) != e13
& op1(op1(e13,e10),e13) = e10
& op1(e13,op1(e13,e10)) != e10 )
| ( op1(op1(e12,e13),e13) != e12
& op1(op1(e12,e13),e12) = e13
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,op1(e12,e12)) != e12 )
| ( op1(op1(e12,e11),e11) != e12
& op1(op1(e12,e11),e12) = e11
& op1(e12,op1(e12,e11)) != e11 )
| ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 )
| ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f315,plain,
( sP0_prd
<=> ( ( op1(op1(e13,e12),e12) != e13
& op1(op1(e13,e12),e13) = e12
& op1(e13,op1(e13,e12)) != e12 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f314]) ).
fof(f316,plain,
( ( ( ( op1(op1(e13,e12),e12) = e13
| op1(op1(e13,e12),e13) != e12
| op1(e13,op1(e13,e12)) = e12 )
& ~ sP16_prd )
| sP0_prd )
& ( ( op1(op1(e13,e12),e12) != e13
& op1(op1(e13,e12),e13) = e12
& op1(e13,op1(e13,e12)) != e12 )
| sP16_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f315]) ).
fof(f317,plain,
( op1(e13,op1(e13,e12)) != e12
| sP16_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f318,plain,
( op1(op1(e13,e12),e13) = e12
| sP16_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f320,plain,
( ~ sP16_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f322,definition,
( sP17_prd
<=> ( ( op1(e13,op1(e13,e11)) != e13
& op1(e12,op1(e13,e11)) != e12
& op1(e11,op1(e13,e11)) != e11
& op1(e10,op1(e13,e11)) != e10
& op1(e11,e13) = op1(e13,e11) )
| ( op1(e13,op1(e13,e10)) != e13
& op1(e12,op1(e13,e10)) != e12
& op1(e11,op1(e13,e10)) != e11
& op1(e10,op1(e13,e10)) != e10
& op1(e10,e13) = op1(e13,e10) )
| ( op1(e13,op1(e12,e13)) != e13
& op1(e12,op1(e12,e13)) != e12
& op1(e11,op1(e12,e13)) != e11
& op1(e10,op1(e12,e13)) != e10
& op1(e13,e12) = op1(e12,e13) )
| ( op1(e13,op1(e12,e12)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e11,op1(e12,e12)) != e11
& op1(e10,op1(e12,e12)) != e10
& op1(e12,e12) = op1(e12,e12) )
| ( op1(e13,op1(e12,e11)) != e13
& op1(e12,op1(e12,e11)) != e12
& op1(e11,op1(e12,e11)) != e11
& op1(e10,op1(e12,e11)) != e10
& op1(e11,e12) = op1(e12,e11) )
| ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) )
| ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f323,plain,
( sP1_prd
<=> ( ( op1(e13,op1(e13,e12)) != e13
& op1(e12,op1(e13,e12)) != e12
& op1(e11,op1(e13,e12)) != e11
& op1(e10,op1(e13,e12)) != e10
& op1(e12,e13) = op1(e13,e12) )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f241,f322]) ).
fof(f324,plain,
( ( ( ( op1(e13,op1(e13,e12)) = e13
| op1(e12,op1(e13,e12)) = e12
| op1(e11,op1(e13,e12)) = e11
| op1(e10,op1(e13,e12)) = e10
| op1(e12,e13) != op1(e13,e12) )
& ~ sP17_prd )
| sP1_prd )
& ( ( op1(e13,op1(e13,e12)) != e13
& op1(e12,op1(e13,e12)) != e12
& op1(e11,op1(e13,e12)) != e11
& op1(e10,op1(e13,e12)) != e10
& op1(e12,e13) = op1(e13,e12) )
| sP17_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f323]) ).
fof(f325,plain,
( op1(e12,e13) = op1(e13,e12)
| sP17_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f329,plain,
( op1(e13,op1(e13,e12)) != e13
| sP17_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f330,plain,
( ~ sP17_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f324]) ).
fof(f332,definition,
( sP18_prd
<=> ( ( op2(op2(e23,e21),e21) != e23
& op2(op2(e23,e21),e23) = e21
& op2(e23,op2(e23,e21)) != e21 )
| ( op2(op2(e23,e20),e20) != e23
& op2(op2(e23,e20),e23) = e20
& op2(e23,op2(e23,e20)) != e20 )
| ( op2(op2(e22,e23),e23) != e22
& op2(op2(e22,e23),e22) = e23
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,op2(e22,e22)) != e22 )
| ( op2(op2(e22,e21),e21) != e22
& op2(op2(e22,e21),e22) = e21
& op2(e22,op2(e22,e21)) != e21 )
| ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 )
| ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f333,plain,
( sP2_prd
<=> ( ( op2(op2(e23,e22),e22) != e23
& op2(op2(e23,e22),e23) = e22
& op2(e23,op2(e23,e22)) != e22 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f251,f332]) ).
fof(f334,plain,
( ( ( ( op2(op2(e23,e22),e22) = e23
| op2(op2(e23,e22),e23) != e22
| op2(e23,op2(e23,e22)) = e22 )
& ~ sP18_prd )
| sP2_prd )
& ( ( op2(op2(e23,e22),e22) != e23
& op2(op2(e23,e22),e23) = e22
& op2(e23,op2(e23,e22)) != e22 )
| sP18_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f333]) ).
fof(f335,plain,
( op2(e23,op2(e23,e22)) != e22
| sP18_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f336,plain,
( op2(op2(e23,e22),e23) = e22
| sP18_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f338,plain,
( ~ sP18_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f340,definition,
( sP19_prd
<=> ( ( op2(e23,op2(e23,e21)) != e23
& op2(e22,op2(e23,e21)) != e22
& op2(e21,op2(e23,e21)) != e21
& op2(e20,op2(e23,e21)) != e20
& op2(e21,e23) = op2(e23,e21) )
| ( op2(e23,op2(e23,e20)) != e23
& op2(e22,op2(e23,e20)) != e22
& op2(e21,op2(e23,e20)) != e21
& op2(e20,op2(e23,e20)) != e20
& op2(e20,e23) = op2(e23,e20) )
| ( op2(e23,op2(e22,e23)) != e23
& op2(e22,op2(e22,e23)) != e22
& op2(e21,op2(e22,e23)) != e21
& op2(e20,op2(e22,e23)) != e20
& op2(e23,e22) = op2(e22,e23) )
| ( op2(e23,op2(e22,e22)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e21,op2(e22,e22)) != e21
& op2(e20,op2(e22,e22)) != e20
& op2(e22,e22) = op2(e22,e22) )
| ( op2(e23,op2(e22,e21)) != e23
& op2(e22,op2(e22,e21)) != e22
& op2(e21,op2(e22,e21)) != e21
& op2(e20,op2(e22,e21)) != e20
& op2(e21,e22) = op2(e22,e21) )
| ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) )
| ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f341,plain,
( sP3_prd
<=> ( ( op2(e23,op2(e23,e22)) != e23
& op2(e22,op2(e23,e22)) != e22
& op2(e21,op2(e23,e22)) != e21
& op2(e20,op2(e23,e22)) != e20
& op2(e22,e23) = op2(e23,e22) )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f252,f340]) ).
fof(f342,plain,
( ( ( ( op2(e23,op2(e23,e22)) = e23
| op2(e22,op2(e23,e22)) = e22
| op2(e21,op2(e23,e22)) = e21
| op2(e20,op2(e23,e22)) = e20
| op2(e22,e23) != op2(e23,e22) )
& ~ sP19_prd )
| sP3_prd )
& ( ( op2(e23,op2(e23,e22)) != e23
& op2(e22,op2(e23,e22)) != e22
& op2(e21,op2(e23,e22)) != e21
& op2(e20,op2(e23,e22)) != e20
& op2(e22,e23) = op2(e23,e22) )
| sP19_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f341]) ).
fof(f343,plain,
( op2(e22,e23) = op2(e23,e22)
| sP19_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f342]) ).
fof(f344,plain,
( op2(e20,op2(e23,e22)) != e20
| sP19_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f342]) ).
fof(f348,plain,
( ~ sP19_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f342]) ).
fof(f350,plain,
( ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20
| sP4_prd )
& ( ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f285]) ).
fof(f351,plain,
( h1(e10) != e20
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f356,plain,
( ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21
| sP5_prd )
& ( ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f286]) ).
fof(f358,plain,
( h1(e11) != e21
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f362,plain,
( ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP6_prd )
& ( ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f287]) ).
fof(f365,plain,
( h1(e12) != e22
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f368,plain,
( ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP7_prd )
& ( ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f288]) ).
fof(f370,plain,
( h2(e11) != e20
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f371,plain,
( h2(e12) != e20
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f372,plain,
( h2(e13) != e20
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f374,plain,
( ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP8_prd )
& ( ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f289]) ).
fof(f375,plain,
( h2(e10) != e21
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f380,plain,
( ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP9_prd )
& ( ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f290]) ).
fof(f383,plain,
( h2(e12) != e22
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f385,plain,
( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f386,plain,
( ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP10_prd )
& ( ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f291]) ).
fof(f389,plain,
( h3(e12) != e20
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f392,plain,
( ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP11_prd )
& ( ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f394,plain,
( h3(e11) != e21
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f396,plain,
( h3(e13) != e21
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f397,plain,
( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f398,plain,
( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP12_prd )
& ( ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f399,plain,
( h3(e10) != e22
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f404,plain,
( ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP13_prd )
& ( ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f294]) ).
fof(f408,plain,
( h4(e13) != e20
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f410,plain,
( ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP14_prd )
& ( ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f413,plain,
( h4(e12) != e21
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f416,plain,
( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP15_prd )
& ( ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f418,plain,
( h4(e11) != e22
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f419,plain,
( h4(e12) != e22
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,definition,
( sP20_prd
<=> ( ( op1(op1(e13,e10),e10) != e13
& op1(op1(e13,e10),e13) = e10
& op1(e13,op1(e13,e10)) != e10 )
| ( op1(op1(e12,e13),e13) != e12
& op1(op1(e12,e13),e12) = e13
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,op1(e12,e12)) != e12 )
| ( op1(op1(e12,e11),e11) != e12
& op1(op1(e12,e11),e12) = e11
& op1(e12,op1(e12,e11)) != e11 )
| ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 )
| ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f423,plain,
( sP16_prd
<=> ( ( op1(op1(e13,e11),e11) != e13
& op1(op1(e13,e11),e13) = e11
& op1(e13,op1(e13,e11)) != e11 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f314,f422]) ).
fof(f424,plain,
( ( ( ( op1(op1(e13,e11),e11) = e13
| op1(op1(e13,e11),e13) != e11
| op1(e13,op1(e13,e11)) = e11 )
& ~ sP20_prd )
| sP16_prd )
& ( ( op1(op1(e13,e11),e11) != e13
& op1(op1(e13,e11),e13) = e11
& op1(e13,op1(e13,e11)) != e11 )
| sP20_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f423]) ).
fof(f425,plain,
( op1(e13,op1(e13,e11)) != e11
| sP20_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f426,plain,
( op1(op1(e13,e11),e13) = e11
| sP20_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f427,plain,
( op1(op1(e13,e11),e11) != e13
| sP20_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f428,plain,
( ~ sP20_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f430,definition,
( sP21_prd
<=> ( ( op1(e13,op1(e13,e10)) != e13
& op1(e12,op1(e13,e10)) != e12
& op1(e11,op1(e13,e10)) != e11
& op1(e10,op1(e13,e10)) != e10
& op1(e10,e13) = op1(e13,e10) )
| ( op1(e13,op1(e12,e13)) != e13
& op1(e12,op1(e12,e13)) != e12
& op1(e11,op1(e12,e13)) != e11
& op1(e10,op1(e12,e13)) != e10
& op1(e13,e12) = op1(e12,e13) )
| ( op1(e13,op1(e12,e12)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e11,op1(e12,e12)) != e11
& op1(e10,op1(e12,e12)) != e10
& op1(e12,e12) = op1(e12,e12) )
| ( op1(e13,op1(e12,e11)) != e13
& op1(e12,op1(e12,e11)) != e12
& op1(e11,op1(e12,e11)) != e11
& op1(e10,op1(e12,e11)) != e10
& op1(e11,e12) = op1(e12,e11) )
| ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) )
| ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f431,plain,
( sP17_prd
<=> ( ( op1(e13,op1(e13,e11)) != e13
& op1(e12,op1(e13,e11)) != e12
& op1(e11,op1(e13,e11)) != e11
& op1(e10,op1(e13,e11)) != e10
& op1(e11,e13) = op1(e13,e11) )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f322,f430]) ).
fof(f432,plain,
( ( ( ( op1(e13,op1(e13,e11)) = e13
| op1(e12,op1(e13,e11)) = e12
| op1(e11,op1(e13,e11)) = e11
| op1(e10,op1(e13,e11)) = e10
| op1(e11,e13) != op1(e13,e11) )
& ~ sP21_prd )
| sP17_prd )
& ( ( op1(e13,op1(e13,e11)) != e13
& op1(e12,op1(e13,e11)) != e12
& op1(e11,op1(e13,e11)) != e11
& op1(e10,op1(e13,e11)) != e10
& op1(e11,e13) = op1(e13,e11) )
| sP21_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f431]) ).
fof(f433,plain,
( op1(e11,e13) = op1(e13,e11)
| sP21_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f436,plain,
( op1(e12,op1(e13,e11)) != e12
| sP21_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f438,plain,
( ~ sP21_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f440,definition,
( sP22_prd
<=> ( ( op2(op2(e23,e20),e20) != e23
& op2(op2(e23,e20),e23) = e20
& op2(e23,op2(e23,e20)) != e20 )
| ( op2(op2(e22,e23),e23) != e22
& op2(op2(e22,e23),e22) = e23
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,op2(e22,e22)) != e22 )
| ( op2(op2(e22,e21),e21) != e22
& op2(op2(e22,e21),e22) = e21
& op2(e22,op2(e22,e21)) != e21 )
| ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 )
| ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f441,plain,
( sP18_prd
<=> ( ( op2(op2(e23,e21),e21) != e23
& op2(op2(e23,e21),e23) = e21
& op2(e23,op2(e23,e21)) != e21 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f332,f440]) ).
fof(f442,plain,
( ( ( ( op2(op2(e23,e21),e21) = e23
| op2(op2(e23,e21),e23) != e21
| op2(e23,op2(e23,e21)) = e21 )
& ~ sP22_prd )
| sP18_prd )
& ( ( op2(op2(e23,e21),e21) != e23
& op2(op2(e23,e21),e23) = e21
& op2(e23,op2(e23,e21)) != e21 )
| sP22_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f441]) ).
fof(f443,plain,
( op2(e23,op2(e23,e21)) != e21
| sP22_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f444,plain,
( op2(op2(e23,e21),e23) = e21
| sP22_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f446,plain,
( ~ sP22_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f448,definition,
( sP23_prd
<=> ( ( op2(e23,op2(e23,e20)) != e23
& op2(e22,op2(e23,e20)) != e22
& op2(e21,op2(e23,e20)) != e21
& op2(e20,op2(e23,e20)) != e20
& op2(e20,e23) = op2(e23,e20) )
| ( op2(e23,op2(e22,e23)) != e23
& op2(e22,op2(e22,e23)) != e22
& op2(e21,op2(e22,e23)) != e21
& op2(e20,op2(e22,e23)) != e20
& op2(e23,e22) = op2(e22,e23) )
| ( op2(e23,op2(e22,e22)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e21,op2(e22,e22)) != e21
& op2(e20,op2(e22,e22)) != e20
& op2(e22,e22) = op2(e22,e22) )
| ( op2(e23,op2(e22,e21)) != e23
& op2(e22,op2(e22,e21)) != e22
& op2(e21,op2(e22,e21)) != e21
& op2(e20,op2(e22,e21)) != e20
& op2(e21,e22) = op2(e22,e21) )
| ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) )
| ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f449,plain,
( sP19_prd
<=> ( ( op2(e23,op2(e23,e21)) != e23
& op2(e22,op2(e23,e21)) != e22
& op2(e21,op2(e23,e21)) != e21
& op2(e20,op2(e23,e21)) != e20
& op2(e21,e23) = op2(e23,e21) )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f340,f448]) ).
fof(f450,plain,
( ( ( ( op2(e23,op2(e23,e21)) = e23
| op2(e22,op2(e23,e21)) = e22
| op2(e21,op2(e23,e21)) = e21
| op2(e20,op2(e23,e21)) = e20
| op2(e21,e23) != op2(e23,e21) )
& ~ sP23_prd )
| sP19_prd )
& ( ( op2(e23,op2(e23,e21)) != e23
& op2(e22,op2(e23,e21)) != e22
& op2(e21,op2(e23,e21)) != e21
& op2(e20,op2(e23,e21)) != e20
& op2(e21,e23) = op2(e23,e21) )
| sP23_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f449]) ).
fof(f451,plain,
( op2(e21,e23) = op2(e23,e21)
| sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f454,plain,
( op2(e22,op2(e23,e21)) != e22
| sP23_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f456,plain,
( ~ sP23_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f450]) ).
fof(f458,definition,
( sP24_prd
<=> ( ( op1(op1(e12,e13),e13) != e12
& op1(op1(e12,e13),e12) = e13
& op1(e12,op1(e12,e13)) != e13 )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,op1(e12,e12)) != e12 )
| ( op1(op1(e12,e11),e11) != e12
& op1(op1(e12,e11),e12) = e11
& op1(e12,op1(e12,e11)) != e11 )
| ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 )
| ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f459,plain,
( sP20_prd
<=> ( ( op1(op1(e13,e10),e10) != e13
& op1(op1(e13,e10),e13) = e10
& op1(e13,op1(e13,e10)) != e10 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f422,f458]) ).
fof(f460,plain,
( ( ( ( op1(op1(e13,e10),e10) = e13
| op1(op1(e13,e10),e13) != e10
| op1(e13,op1(e13,e10)) = e10 )
& ~ sP24_prd )
| sP20_prd )
& ( ( op1(op1(e13,e10),e10) != e13
& op1(op1(e13,e10),e13) = e10
& op1(e13,op1(e13,e10)) != e10 )
| sP24_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f459]) ).
fof(f461,plain,
( op1(e13,op1(e13,e10)) != e10
| sP24_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f462,plain,
( op1(op1(e13,e10),e13) = e10
| sP24_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f464,plain,
( ~ sP24_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f466,definition,
( sP25_prd
<=> ( ( op1(e13,op1(e12,e13)) != e13
& op1(e12,op1(e12,e13)) != e12
& op1(e11,op1(e12,e13)) != e11
& op1(e10,op1(e12,e13)) != e10
& op1(e13,e12) = op1(e12,e13) )
| ( op1(e13,op1(e12,e12)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e11,op1(e12,e12)) != e11
& op1(e10,op1(e12,e12)) != e10
& op1(e12,e12) = op1(e12,e12) )
| ( op1(e13,op1(e12,e11)) != e13
& op1(e12,op1(e12,e11)) != e12
& op1(e11,op1(e12,e11)) != e11
& op1(e10,op1(e12,e11)) != e10
& op1(e11,e12) = op1(e12,e11) )
| ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) )
| ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f467,plain,
( sP21_prd
<=> ( ( op1(e13,op1(e13,e10)) != e13
& op1(e12,op1(e13,e10)) != e12
& op1(e11,op1(e13,e10)) != e11
& op1(e10,op1(e13,e10)) != e10
& op1(e10,e13) = op1(e13,e10) )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f430,f466]) ).
fof(f468,plain,
( ( ( ( op1(e13,op1(e13,e10)) = e13
| op1(e12,op1(e13,e10)) = e12
| op1(e11,op1(e13,e10)) = e11
| op1(e10,op1(e13,e10)) = e10
| op1(e10,e13) != op1(e13,e10) )
& ~ sP25_prd )
| sP21_prd )
& ( ( op1(e13,op1(e13,e10)) != e13
& op1(e12,op1(e13,e10)) != e12
& op1(e11,op1(e13,e10)) != e11
& op1(e10,op1(e13,e10)) != e10
& op1(e10,e13) = op1(e13,e10) )
| sP25_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f467]) ).
fof(f469,plain,
( op1(e10,e13) = op1(e13,e10)
| sP25_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f471,plain,
( op1(e11,op1(e13,e10)) != e11
| sP25_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f474,plain,
( ~ sP25_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f468]) ).
fof(f476,definition,
( sP26_prd
<=> ( ( op2(op2(e22,e23),e23) != e22
& op2(op2(e22,e23),e22) = e23
& op2(e22,op2(e22,e23)) != e23 )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,op2(e22,e22)) != e22 )
| ( op2(op2(e22,e21),e21) != e22
& op2(op2(e22,e21),e22) = e21
& op2(e22,op2(e22,e21)) != e21 )
| ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 )
| ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f477,plain,
( sP22_prd
<=> ( ( op2(op2(e23,e20),e20) != e23
& op2(op2(e23,e20),e23) = e20
& op2(e23,op2(e23,e20)) != e20 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f440,f476]) ).
fof(f478,plain,
( ( ( ( op2(op2(e23,e20),e20) = e23
| op2(op2(e23,e20),e23) != e20
| op2(e23,op2(e23,e20)) = e20 )
& ~ sP26_prd )
| sP22_prd )
& ( ( op2(op2(e23,e20),e20) != e23
& op2(op2(e23,e20),e23) = e20
& op2(e23,op2(e23,e20)) != e20 )
| sP26_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f477]) ).
fof(f479,plain,
( op2(e23,op2(e23,e20)) != e20
| sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f480,plain,
( op2(op2(e23,e20),e23) = e20
| sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f481,plain,
( op2(op2(e23,e20),e20) != e23
| sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f482,plain,
( ~ sP26_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f484,definition,
( sP27_prd
<=> ( ( op2(e23,op2(e22,e23)) != e23
& op2(e22,op2(e22,e23)) != e22
& op2(e21,op2(e22,e23)) != e21
& op2(e20,op2(e22,e23)) != e20
& op2(e23,e22) = op2(e22,e23) )
| ( op2(e23,op2(e22,e22)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e21,op2(e22,e22)) != e21
& op2(e20,op2(e22,e22)) != e20
& op2(e22,e22) = op2(e22,e22) )
| ( op2(e23,op2(e22,e21)) != e23
& op2(e22,op2(e22,e21)) != e22
& op2(e21,op2(e22,e21)) != e21
& op2(e20,op2(e22,e21)) != e20
& op2(e21,e22) = op2(e22,e21) )
| ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) )
| ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f485,plain,
( sP23_prd
<=> ( ( op2(e23,op2(e23,e20)) != e23
& op2(e22,op2(e23,e20)) != e22
& op2(e21,op2(e23,e20)) != e21
& op2(e20,op2(e23,e20)) != e20
& op2(e20,e23) = op2(e23,e20) )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f448,f484]) ).
fof(f486,plain,
( ( ( ( op2(e23,op2(e23,e20)) = e23
| op2(e22,op2(e23,e20)) = e22
| op2(e21,op2(e23,e20)) = e21
| op2(e20,op2(e23,e20)) = e20
| op2(e20,e23) != op2(e23,e20) )
& ~ sP27_prd )
| sP23_prd )
& ( ( op2(e23,op2(e23,e20)) != e23
& op2(e22,op2(e23,e20)) != e22
& op2(e21,op2(e23,e20)) != e21
& op2(e20,op2(e23,e20)) != e20
& op2(e20,e23) = op2(e23,e20) )
| sP27_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f485]) ).
fof(f487,plain,
( op2(e20,e23) = op2(e23,e20)
| sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f486]) ).
fof(f489,plain,
( op2(e21,op2(e23,e20)) != e21
| sP27_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f486]) ).
fof(f492,plain,
( ~ sP27_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f486]) ).
fof(f494,definition,
( sP28_prd
<=> ( ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,op1(e12,e12)) != e12 )
| ( op1(op1(e12,e11),e11) != e12
& op1(op1(e12,e11),e12) = e11
& op1(e12,op1(e12,e11)) != e11 )
| ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 )
| ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f495,plain,
( sP24_prd
<=> ( ( op1(op1(e12,e13),e13) != e12
& op1(op1(e12,e13),e12) = e13
& op1(e12,op1(e12,e13)) != e13 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f458,f494]) ).
fof(f496,plain,
( ( ( ( op1(op1(e12,e13),e13) = e12
| op1(op1(e12,e13),e12) != e13
| op1(e12,op1(e12,e13)) = e13 )
& ~ sP28_prd )
| sP24_prd )
& ( ( op1(op1(e12,e13),e13) != e12
& op1(op1(e12,e13),e12) = e13
& op1(e12,op1(e12,e13)) != e13 )
| sP28_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f495]) ).
fof(f497,plain,
( op1(e12,op1(e12,e13)) != e13
| sP28_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f498,plain,
( op1(op1(e12,e13),e12) = e13
| sP28_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f499,plain,
( op1(op1(e12,e13),e13) != e12
| sP28_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f500,plain,
( ~ sP28_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f496]) ).
fof(f502,definition,
( sP29_prd
<=> ( ( op1(e13,op1(e12,e12)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e11,op1(e12,e12)) != e11
& op1(e10,op1(e12,e12)) != e10
& op1(e12,e12) = op1(e12,e12) )
| ( op1(e13,op1(e12,e11)) != e13
& op1(e12,op1(e12,e11)) != e12
& op1(e11,op1(e12,e11)) != e11
& op1(e10,op1(e12,e11)) != e10
& op1(e11,e12) = op1(e12,e11) )
| ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) )
| ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f503,plain,
( sP25_prd
<=> ( ( op1(e13,op1(e12,e13)) != e13
& op1(e12,op1(e12,e13)) != e12
& op1(e11,op1(e12,e13)) != e11
& op1(e10,op1(e12,e13)) != e10
& op1(e13,e12) = op1(e12,e13) )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f466,f502]) ).
fof(f504,plain,
( ( ( ( op1(e13,op1(e12,e13)) = e13
| op1(e12,op1(e12,e13)) = e12
| op1(e11,op1(e12,e13)) = e11
| op1(e10,op1(e12,e13)) = e10
| op1(e13,e12) != op1(e12,e13) )
& ~ sP29_prd )
| sP25_prd )
& ( ( op1(e13,op1(e12,e13)) != e13
& op1(e12,op1(e12,e13)) != e12
& op1(e11,op1(e12,e13)) != e11
& op1(e10,op1(e12,e13)) != e10
& op1(e13,e12) = op1(e12,e13) )
| sP29_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f503]) ).
fof(f505,plain,
( op1(e13,e12) = op1(e12,e13)
| sP29_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f506,plain,
( op1(e10,op1(e12,e13)) != e10
| sP29_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f510,plain,
( ~ sP29_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f512,definition,
( sP30_prd
<=> ( ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,op2(e22,e22)) != e22 )
| ( op2(op2(e22,e21),e21) != e22
& op2(op2(e22,e21),e22) = e21
& op2(e22,op2(e22,e21)) != e21 )
| ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 )
| ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f513,plain,
( sP26_prd
<=> ( ( op2(op2(e22,e23),e23) != e22
& op2(op2(e22,e23),e22) = e23
& op2(e22,op2(e22,e23)) != e23 )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f476,f512]) ).
fof(f514,plain,
( ( ( ( op2(op2(e22,e23),e23) = e22
| op2(op2(e22,e23),e22) != e23
| op2(e22,op2(e22,e23)) = e23 )
& ~ sP30_prd )
| sP26_prd )
& ( ( op2(op2(e22,e23),e23) != e22
& op2(op2(e22,e23),e22) = e23
& op2(e22,op2(e22,e23)) != e23 )
| sP30_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f513]) ).
fof(f515,plain,
( op2(e22,op2(e22,e23)) != e23
| sP30_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f514]) ).
fof(f516,plain,
( op2(op2(e22,e23),e22) = e23
| sP30_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f514]) ).
fof(f517,plain,
( op2(op2(e22,e23),e23) != e22
| sP30_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f514]) ).
fof(f518,plain,
( ~ sP30_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f514]) ).
fof(f520,definition,
( sP31_prd
<=> ( ( op2(e23,op2(e22,e22)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e21,op2(e22,e22)) != e21
& op2(e20,op2(e22,e22)) != e20
& op2(e22,e22) = op2(e22,e22) )
| ( op2(e23,op2(e22,e21)) != e23
& op2(e22,op2(e22,e21)) != e22
& op2(e21,op2(e22,e21)) != e21
& op2(e20,op2(e22,e21)) != e20
& op2(e21,e22) = op2(e22,e21) )
| ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) )
| ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f521,plain,
( sP27_prd
<=> ( ( op2(e23,op2(e22,e23)) != e23
& op2(e22,op2(e22,e23)) != e22
& op2(e21,op2(e22,e23)) != e21
& op2(e20,op2(e22,e23)) != e20
& op2(e23,e22) = op2(e22,e23) )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f484,f520]) ).
fof(f522,plain,
( ( ( ( op2(e23,op2(e22,e23)) = e23
| op2(e22,op2(e22,e23)) = e22
| op2(e21,op2(e22,e23)) = e21
| op2(e20,op2(e22,e23)) = e20
| op2(e23,e22) != op2(e22,e23) )
& ~ sP31_prd )
| sP27_prd )
& ( ( op2(e23,op2(e22,e23)) != e23
& op2(e22,op2(e22,e23)) != e22
& op2(e21,op2(e22,e23)) != e21
& op2(e20,op2(e22,e23)) != e20
& op2(e23,e22) = op2(e22,e23) )
| sP31_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f521]) ).
fof(f523,plain,
( op2(e23,e22) = op2(e22,e23)
| sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f524,plain,
( op2(e20,op2(e22,e23)) != e20
| sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f526,plain,
( op2(e22,op2(e22,e23)) != e22
| sP31_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f528,plain,
( ~ sP31_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f530,definition,
( sP32_prd
<=> ( ( op1(op1(e12,e11),e11) != e12
& op1(op1(e12,e11),e12) = e11
& op1(e12,op1(e12,e11)) != e11 )
| ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 )
| ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f531,plain,
( sP28_prd
<=> ( ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,op1(e12,e12)) != e12 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f494,f530]) ).
fof(f532,plain,
( ( ( ( op1(op1(e12,e12),e12) = e12
| op1(op1(e12,e12),e12) != e12
| op1(e12,op1(e12,e12)) = e12 )
& ~ sP32_prd )
| sP28_prd )
& ( ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,op1(e12,e12)) != e12 )
| sP32_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f531]) ).
fof(f533,plain,
( op1(e12,op1(e12,e12)) != e12
| sP32_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f534,plain,
( op1(op1(e12,e12),e12) = e12
| sP32_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f535,plain,
( op1(op1(e12,e12),e12) != e12
| sP32_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f536,plain,
( ~ sP32_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f538,definition,
( sP33_prd
<=> ( ( op1(e13,op1(e12,e11)) != e13
& op1(e12,op1(e12,e11)) != e12
& op1(e11,op1(e12,e11)) != e11
& op1(e10,op1(e12,e11)) != e10
& op1(e11,e12) = op1(e12,e11) )
| ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) )
| ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f539,plain,
( sP29_prd
<=> ( ( op1(e13,op1(e12,e12)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e11,op1(e12,e12)) != e11
& op1(e10,op1(e12,e12)) != e10
& op1(e12,e12) = op1(e12,e12) )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f502,f538]) ).
fof(f540,plain,
( ( ( ( op1(e13,op1(e12,e12)) = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e12,e12)) = e11
| op1(e10,op1(e12,e12)) = e10
| op1(e12,e12) != op1(e12,e12) )
& ~ sP33_prd )
| sP29_prd )
& ( ( op1(e13,op1(e12,e12)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e11,op1(e12,e12)) != e11
& op1(e10,op1(e12,e12)) != e10
& op1(e12,e12) = op1(e12,e12) )
| sP33_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f539]) ).
fof(f541,plain,
( op1(e12,e12) = op1(e12,e12)
| sP33_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f542,plain,
( op1(e10,op1(e12,e12)) != e10
| sP33_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f543,plain,
( op1(e11,op1(e12,e12)) != e11
| sP33_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f544,plain,
( op1(e12,op1(e12,e12)) != e12
| sP33_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f545,plain,
( op1(e13,op1(e12,e12)) != e13
| sP33_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f546,plain,
( ~ sP33_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f548,definition,
( sP34_prd
<=> ( ( op2(op2(e22,e21),e21) != e22
& op2(op2(e22,e21),e22) = e21
& op2(e22,op2(e22,e21)) != e21 )
| ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 )
| ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f549,plain,
( sP30_prd
<=> ( ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,op2(e22,e22)) != e22 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f512,f548]) ).
fof(f550,plain,
( ( ( ( op2(op2(e22,e22),e22) = e22
| op2(op2(e22,e22),e22) != e22
| op2(e22,op2(e22,e22)) = e22 )
& ~ sP34_prd )
| sP30_prd )
& ( ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,op2(e22,e22)) != e22 )
| sP34_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f549]) ).
fof(f551,plain,
( op2(e22,op2(e22,e22)) != e22
| sP34_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f552,plain,
( op2(op2(e22,e22),e22) = e22
| sP34_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f553,plain,
( op2(op2(e22,e22),e22) != e22
| sP34_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f554,plain,
( ~ sP34_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f550]) ).
fof(f556,definition,
( sP35_prd
<=> ( ( op2(e23,op2(e22,e21)) != e23
& op2(e22,op2(e22,e21)) != e22
& op2(e21,op2(e22,e21)) != e21
& op2(e20,op2(e22,e21)) != e20
& op2(e21,e22) = op2(e22,e21) )
| ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) )
| ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f557,plain,
( sP31_prd
<=> ( ( op2(e23,op2(e22,e22)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e21,op2(e22,e22)) != e21
& op2(e20,op2(e22,e22)) != e20
& op2(e22,e22) = op2(e22,e22) )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f520,f556]) ).
fof(f558,plain,
( ( ( ( op2(e23,op2(e22,e22)) = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e22,e22)) = e21
| op2(e20,op2(e22,e22)) = e20
| op2(e22,e22) != op2(e22,e22) )
& ~ sP35_prd )
| sP31_prd )
& ( ( op2(e23,op2(e22,e22)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e21,op2(e22,e22)) != e21
& op2(e20,op2(e22,e22)) != e20
& op2(e22,e22) = op2(e22,e22) )
| sP35_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f557]) ).
fof(f560,plain,
( op2(e20,op2(e22,e22)) != e20
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f561,plain,
( op2(e21,op2(e22,e22)) != e21
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f562,plain,
( op2(e22,op2(e22,e22)) != e22
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f563,plain,
( op2(e23,op2(e22,e22)) != e23
| sP35_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f564,plain,
( ~ sP35_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f558]) ).
fof(f566,definition,
( sP36_prd
<=> ( ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 )
| ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f567,plain,
( sP32_prd
<=> ( ( op1(op1(e12,e11),e11) != e12
& op1(op1(e12,e11),e12) = e11
& op1(e12,op1(e12,e11)) != e11 )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f530,f566]) ).
fof(f568,plain,
( ( ( ( op1(op1(e12,e11),e11) = e12
| op1(op1(e12,e11),e12) != e11
| op1(e12,op1(e12,e11)) = e11 )
& ~ sP36_prd )
| sP32_prd )
& ( ( op1(op1(e12,e11),e11) != e12
& op1(op1(e12,e11),e12) = e11
& op1(e12,op1(e12,e11)) != e11 )
| sP36_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f567]) ).
fof(f569,plain,
( op1(e12,op1(e12,e11)) != e11
| sP36_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f568]) ).
fof(f570,plain,
( op1(op1(e12,e11),e12) = e11
| sP36_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f568]) ).
fof(f572,plain,
( ~ sP36_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f568]) ).
fof(f574,definition,
( sP37_prd
<=> ( ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) )
| ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f575,plain,
( sP33_prd
<=> ( ( op1(e13,op1(e12,e11)) != e13
& op1(e12,op1(e12,e11)) != e12
& op1(e11,op1(e12,e11)) != e11
& op1(e10,op1(e12,e11)) != e10
& op1(e11,e12) = op1(e12,e11) )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f538,f574]) ).
fof(f576,plain,
( ( ( ( op1(e13,op1(e12,e11)) = e13
| op1(e12,op1(e12,e11)) = e12
| op1(e11,op1(e12,e11)) = e11
| op1(e10,op1(e12,e11)) = e10
| op1(e11,e12) != op1(e12,e11) )
& ~ sP37_prd )
| sP33_prd )
& ( ( op1(e13,op1(e12,e11)) != e13
& op1(e12,op1(e12,e11)) != e12
& op1(e11,op1(e12,e11)) != e11
& op1(e10,op1(e12,e11)) != e10
& op1(e11,e12) = op1(e12,e11) )
| sP37_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f575]) ).
fof(f577,plain,
( op1(e11,e12) = op1(e12,e11)
| sP37_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f579,plain,
( op1(e11,op1(e12,e11)) != e11
| sP37_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f582,plain,
( ~ sP37_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f584,definition,
( sP38_prd
<=> ( ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 )
| ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f585,plain,
( sP34_prd
<=> ( ( op2(op2(e22,e21),e21) != e22
& op2(op2(e22,e21),e22) = e21
& op2(e22,op2(e22,e21)) != e21 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f548,f584]) ).
fof(f586,plain,
( ( ( ( op2(op2(e22,e21),e21) = e22
| op2(op2(e22,e21),e22) != e21
| op2(e22,op2(e22,e21)) = e21 )
& ~ sP38_prd )
| sP34_prd )
& ( ( op2(op2(e22,e21),e21) != e22
& op2(op2(e22,e21),e22) = e21
& op2(e22,op2(e22,e21)) != e21 )
| sP38_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f585]) ).
fof(f587,plain,
( op2(e22,op2(e22,e21)) != e21
| sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f589,plain,
( op2(op2(e22,e21),e21) != e22
| sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f590,plain,
( ~ sP38_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f591,plain,
( op2(op2(e22,e21),e21) = e22
| op2(op2(e22,e21),e22) != e21
| op2(e22,op2(e22,e21)) = e21
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f586]) ).
fof(f592,definition,
( sP39_prd
<=> ( ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) )
| ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f593,plain,
( sP35_prd
<=> ( ( op2(e23,op2(e22,e21)) != e23
& op2(e22,op2(e22,e21)) != e22
& op2(e21,op2(e22,e21)) != e21
& op2(e20,op2(e22,e21)) != e20
& op2(e21,e22) = op2(e22,e21) )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f556,f592]) ).
fof(f594,plain,
( ( ( ( op2(e23,op2(e22,e21)) = e23
| op2(e22,op2(e22,e21)) = e22
| op2(e21,op2(e22,e21)) = e21
| op2(e20,op2(e22,e21)) = e20
| op2(e21,e22) != op2(e22,e21) )
& ~ sP39_prd )
| sP35_prd )
& ( ( op2(e23,op2(e22,e21)) != e23
& op2(e22,op2(e22,e21)) != e22
& op2(e21,op2(e22,e21)) != e21
& op2(e20,op2(e22,e21)) != e20
& op2(e21,e22) = op2(e22,e21) )
| sP39_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f593]) ).
fof(f595,plain,
( op2(e21,e22) = op2(e22,e21)
| sP39_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f594]) ).
fof(f597,plain,
( op2(e21,op2(e22,e21)) != e21
| sP39_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f594]) ).
fof(f600,plain,
( ~ sP39_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f594]) ).
fof(f602,definition,
( sP40_prd
<=> ( ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 )
| ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f603,plain,
( sP36_prd
<=> ( ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f566,f602]) ).
fof(f604,plain,
( ( ( ( op1(op1(e12,e10),e10) = e12
| op1(op1(e12,e10),e12) != e10
| op1(e12,op1(e12,e10)) = e10 )
& ~ sP40_prd )
| sP36_prd )
& ( ( op1(op1(e12,e10),e10) != e12
& op1(op1(e12,e10),e12) = e10
& op1(e12,op1(e12,e10)) != e10 )
| sP40_prd
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f603]) ).
fof(f605,plain,
( op1(e12,op1(e12,e10)) != e10
| sP40_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f604]) ).
fof(f606,plain,
( op1(op1(e12,e10),e12) = e10
| sP40_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f604]) ).
fof(f608,plain,
( ~ sP40_prd
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f604]) ).
fof(f610,definition,
( sP41_prd
<=> ( ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) )
| ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f611,plain,
( sP37_prd
<=> ( ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f574,f610]) ).
fof(f612,plain,
( ( ( ( op1(e13,op1(e12,e10)) = e13
| op1(e12,op1(e12,e10)) = e12
| op1(e11,op1(e12,e10)) = e11
| op1(e10,op1(e12,e10)) = e10
| op1(e10,e12) != op1(e12,e10) )
& ~ sP41_prd )
| sP37_prd )
& ( ( op1(e13,op1(e12,e10)) != e13
& op1(e12,op1(e12,e10)) != e12
& op1(e11,op1(e12,e10)) != e11
& op1(e10,op1(e12,e10)) != e10
& op1(e10,e12) = op1(e12,e10) )
| sP41_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f611]) ).
fof(f613,plain,
( op1(e10,e12) = op1(e12,e10)
| sP41_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f612]) ).
fof(f614,plain,
( op1(e10,op1(e12,e10)) != e10
| sP41_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f612]) ).
fof(f615,plain,
( op1(e11,op1(e12,e10)) != e11
| sP41_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f612]) ).
fof(f616,plain,
( op1(e12,op1(e12,e10)) != e12
| sP41_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f612]) ).
fof(f617,plain,
( op1(e13,op1(e12,e10)) != e13
| sP41_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f612]) ).
fof(f618,plain,
( ~ sP41_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f612]) ).
fof(f620,definition,
( sP42_prd
<=> ( ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 )
| ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f621,plain,
( sP38_prd
<=> ( ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f584,f620]) ).
fof(f622,plain,
( ( ( ( op2(op2(e22,e20),e20) = e22
| op2(op2(e22,e20),e22) != e20
| op2(e22,op2(e22,e20)) = e20 )
& ~ sP42_prd )
| sP38_prd )
& ( ( op2(op2(e22,e20),e20) != e22
& op2(op2(e22,e20),e22) = e20
& op2(e22,op2(e22,e20)) != e20 )
| sP42_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f621]) ).
fof(f623,plain,
( op2(e22,op2(e22,e20)) != e20
| sP42_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f622]) ).
fof(f624,plain,
( op2(op2(e22,e20),e22) = e20
| sP42_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f622]) ).
fof(f626,plain,
( ~ sP42_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f622]) ).
fof(f628,definition,
( sP43_prd
<=> ( ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) )
| ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f629,plain,
( sP39_prd
<=> ( ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f592,f628]) ).
fof(f630,plain,
( ( ( ( op2(e23,op2(e22,e20)) = e23
| op2(e22,op2(e22,e20)) = e22
| op2(e21,op2(e22,e20)) = e21
| op2(e20,op2(e22,e20)) = e20
| op2(e20,e22) != op2(e22,e20) )
& ~ sP43_prd )
| sP39_prd )
& ( ( op2(e23,op2(e22,e20)) != e23
& op2(e22,op2(e22,e20)) != e22
& op2(e21,op2(e22,e20)) != e21
& op2(e20,op2(e22,e20)) != e20
& op2(e20,e22) = op2(e22,e20) )
| sP43_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f629]) ).
fof(f631,plain,
( op2(e20,e22) = op2(e22,e20)
| sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f634,plain,
( op2(e22,op2(e22,e20)) != e22
| sP43_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f636,plain,
( ~ sP43_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f638,definition,
( sP44_prd
<=> ( ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f639,plain,
( sP40_prd
<=> ( ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f602,f638]) ).
fof(f640,plain,
( ( ( ( op1(op1(e11,e13),e13) = e11
| op1(op1(e11,e13),e11) != e13
| op1(e11,op1(e11,e13)) = e13 )
& ~ sP44_prd )
| sP40_prd )
& ( ( op1(op1(e11,e13),e13) != e11
& op1(op1(e11,e13),e11) = e13
& op1(e11,op1(e11,e13)) != e13 )
| sP44_prd
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f639]) ).
fof(f641,plain,
( op1(e11,op1(e11,e13)) != e13
| sP44_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f640]) ).
fof(f642,plain,
( op1(op1(e11,e13),e11) = e13
| sP44_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f640]) ).
fof(f644,plain,
( ~ sP44_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f640]) ).
fof(f646,definition,
( sP45_prd
<=> ( ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f647,plain,
( sP41_prd
<=> ( ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) )
| sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f610,f646]) ).
fof(f648,plain,
( ( ( ( op1(e13,op1(e11,e13)) = e13
| op1(e12,op1(e11,e13)) = e12
| op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e11,e13)) = e10
| op1(e13,e11) != op1(e11,e13) )
& ~ sP45_prd )
| sP41_prd )
& ( ( op1(e13,op1(e11,e13)) != e13
& op1(e12,op1(e11,e13)) != e12
& op1(e11,op1(e11,e13)) != e11
& op1(e10,op1(e11,e13)) != e10
& op1(e13,e11) = op1(e11,e13) )
| sP45_prd
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f647]) ).
fof(f649,plain,
( op1(e13,e11) = op1(e11,e13)
| sP45_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f648]) ).
fof(f650,plain,
( op1(e10,op1(e11,e13)) != e10
| sP45_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f648]) ).
fof(f651,plain,
( op1(e11,op1(e11,e13)) != e11
| sP45_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f648]) ).
fof(f652,plain,
( op1(e12,op1(e11,e13)) != e12
| sP45_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f648]) ).
fof(f653,plain,
( op1(e13,op1(e11,e13)) != e13
| sP45_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f648]) ).
fof(f654,plain,
( ~ sP45_prd
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f648]) ).
fof(f656,definition,
( sP46_prd
<=> ( ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f657,plain,
( sP42_prd
<=> ( ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f620,f656]) ).
fof(f658,plain,
( ( ( ( op2(op2(e21,e23),e23) = e21
| op2(op2(e21,e23),e21) != e23
| op2(e21,op2(e21,e23)) = e23 )
& ~ sP46_prd )
| sP42_prd )
& ( ( op2(op2(e21,e23),e23) != e21
& op2(op2(e21,e23),e21) = e23
& op2(e21,op2(e21,e23)) != e23 )
| sP46_prd
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f657]) ).
fof(f659,plain,
( op2(e21,op2(e21,e23)) != e23
| sP46_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f658]) ).
fof(f660,plain,
( op2(op2(e21,e23),e21) = e23
| sP46_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f658]) ).
fof(f662,plain,
( ~ sP46_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f658]) ).
fof(f664,definition,
( sP47_prd
<=> ( ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f665,plain,
( sP43_prd
<=> ( ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f628,f664]) ).
fof(f666,plain,
( ( ( ( op2(e23,op2(e21,e23)) = e23
| op2(e22,op2(e21,e23)) = e22
| op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e21,e23)) = e20
| op2(e23,e21) != op2(e21,e23) )
& ~ sP47_prd )
| sP43_prd )
& ( ( op2(e23,op2(e21,e23)) != e23
& op2(e22,op2(e21,e23)) != e22
& op2(e21,op2(e21,e23)) != e21
& op2(e20,op2(e21,e23)) != e20
& op2(e23,e21) = op2(e21,e23) )
| sP47_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f665]) ).
fof(f667,plain,
( op2(e23,e21) = op2(e21,e23)
| sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f670,plain,
( op2(e22,op2(e21,e23)) != e22
| sP47_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f672,plain,
( ~ sP47_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f673,plain,
( op2(e23,op2(e21,e23)) = e23
| op2(e22,op2(e21,e23)) = e22
| op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e21,e23)) = e20
| op2(e23,e21) != op2(e21,e23)
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f666]) ).
fof(f674,definition,
( sP48_prd
<=> ( ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f675,plain,
( sP44_prd
<=> ( ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| sP48_prd ) ),
inference(formula_renaming,[status(thm)],[f638,f674]) ).
fof(f676,plain,
( ( ( ( op1(op1(e11,e12),e12) = e11
| op1(op1(e11,e12),e11) != e12
| op1(e11,op1(e11,e12)) = e12 )
& ~ sP48_prd )
| sP44_prd )
& ( ( op1(op1(e11,e12),e12) != e11
& op1(op1(e11,e12),e11) = e12
& op1(e11,op1(e11,e12)) != e12 )
| sP48_prd
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f675]) ).
fof(f677,plain,
( op1(e11,op1(e11,e12)) != e12
| sP48_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f678,plain,
( op1(op1(e11,e12),e11) = e12
| sP48_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f680,plain,
( ~ sP48_prd
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f681,plain,
( op1(op1(e11,e12),e12) = e11
| op1(op1(e11,e12),e11) != e12
| op1(e11,op1(e11,e12)) = e12
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f682,definition,
( sP49_prd
<=> ( ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f683,plain,
( sP45_prd
<=> ( ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f646,f682]) ).
fof(f684,plain,
( ( ( ( op1(e13,op1(e11,e12)) = e13
| op1(e12,op1(e11,e12)) = e12
| op1(e11,op1(e11,e12)) = e11
| op1(e10,op1(e11,e12)) = e10
| op1(e12,e11) != op1(e11,e12) )
& ~ sP49_prd )
| sP45_prd )
& ( ( op1(e13,op1(e11,e12)) != e13
& op1(e12,op1(e11,e12)) != e12
& op1(e11,op1(e11,e12)) != e11
& op1(e10,op1(e11,e12)) != e10
& op1(e12,e11) = op1(e11,e12) )
| sP49_prd
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f683]) ).
fof(f685,plain,
( op1(e12,e11) = op1(e11,e12)
| sP49_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f684]) ).
fof(f687,plain,
( op1(e11,op1(e11,e12)) != e11
| sP49_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f684]) ).
fof(f690,plain,
( ~ sP49_prd
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f684]) ).
fof(f692,definition,
( sP50_prd
<=> ( ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f693,plain,
( sP46_prd
<=> ( ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f656,f692]) ).
fof(f694,plain,
( ( ( ( op2(op2(e21,e22),e22) = e21
| op2(op2(e21,e22),e21) != e22
| op2(e21,op2(e21,e22)) = e22 )
& ~ sP50_prd )
| sP46_prd )
& ( ( op2(op2(e21,e22),e22) != e21
& op2(op2(e21,e22),e21) = e22
& op2(e21,op2(e21,e22)) != e22 )
| sP50_prd
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f693]) ).
fof(f695,plain,
( op2(e21,op2(e21,e22)) != e22
| sP50_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f696,plain,
( op2(op2(e21,e22),e21) = e22
| sP50_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f697,plain,
( op2(op2(e21,e22),e22) != e21
| sP50_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f698,plain,
( ~ sP50_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f700,definition,
( sP51_prd
<=> ( ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f701,plain,
( sP47_prd
<=> ( ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f664,f700]) ).
fof(f702,plain,
( ( ( ( op2(e23,op2(e21,e22)) = e23
| op2(e22,op2(e21,e22)) = e22
| op2(e21,op2(e21,e22)) = e21
| op2(e20,op2(e21,e22)) = e20
| op2(e22,e21) != op2(e21,e22) )
& ~ sP51_prd )
| sP47_prd )
& ( ( op2(e23,op2(e21,e22)) != e23
& op2(e22,op2(e21,e22)) != e22
& op2(e21,op2(e21,e22)) != e21
& op2(e20,op2(e21,e22)) != e20
& op2(e22,e21) = op2(e21,e22) )
| sP51_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f701]) ).
fof(f703,plain,
( op2(e22,e21) = op2(e21,e22)
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f702]) ).
fof(f705,plain,
( op2(e21,op2(e21,e22)) != e21
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f702]) ).
fof(f707,plain,
( op2(e23,op2(e21,e22)) != e23
| sP51_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f702]) ).
fof(f708,plain,
( ~ sP51_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f702]) ).
fof(f710,definition,
( sP52_prd
<=> ( ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f711,plain,
( sP48_prd
<=> ( ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f674,f710]) ).
fof(f712,plain,
( ( ( ( op1(op1(e11,e11),e11) = e11
| op1(op1(e11,e11),e11) != e11
| op1(e11,op1(e11,e11)) = e11 )
& ~ sP52_prd )
| sP48_prd )
& ( ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,op1(e11,e11)) != e11 )
| sP52_prd
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f711]) ).
fof(f713,plain,
( op1(e11,op1(e11,e11)) != e11
| sP52_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f712]) ).
fof(f714,plain,
( op1(op1(e11,e11),e11) = e11
| sP52_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f712]) ).
fof(f715,plain,
( op1(op1(e11,e11),e11) != e11
| sP52_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f712]) ).
fof(f716,plain,
( ~ sP52_prd
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f712]) ).
fof(f718,definition,
( sP53_prd
<=> ( ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f719,plain,
( sP49_prd
<=> ( ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f682,f718]) ).
fof(f720,plain,
( ( ( ( op1(e13,op1(e11,e11)) = e13
| op1(e12,op1(e11,e11)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e11,e11)) = e10
| op1(e11,e11) != op1(e11,e11) )
& ~ sP53_prd )
| sP49_prd )
& ( ( op1(e13,op1(e11,e11)) != e13
& op1(e12,op1(e11,e11)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e10,op1(e11,e11)) != e10
& op1(e11,e11) = op1(e11,e11) )
| sP53_prd
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f719]) ).
fof(f723,plain,
( op1(e11,op1(e11,e11)) != e11
| sP53_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f724,plain,
( op1(e12,op1(e11,e11)) != e12
| sP53_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f725,plain,
( op1(e13,op1(e11,e11)) != e13
| sP53_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f726,plain,
( ~ sP53_prd
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f728,definition,
( sP54_prd
<=> ( ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f729,plain,
( sP50_prd
<=> ( ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f692,f728]) ).
fof(f730,plain,
( ( ( ( op2(op2(e21,e21),e21) = e21
| op2(op2(e21,e21),e21) != e21
| op2(e21,op2(e21,e21)) = e21 )
& ~ sP54_prd )
| sP50_prd )
& ( ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,op2(e21,e21)) != e21 )
| sP54_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f729]) ).
fof(f731,plain,
( op2(e21,op2(e21,e21)) != e21
| sP54_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f730]) ).
fof(f732,plain,
( op2(op2(e21,e21),e21) = e21
| sP54_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f730]) ).
fof(f733,plain,
( op2(op2(e21,e21),e21) != e21
| sP54_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f730]) ).
fof(f734,plain,
( ~ sP54_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f730]) ).
fof(f736,definition,
( sP55_prd
<=> ( ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f737,plain,
( sP51_prd
<=> ( ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f700,f736]) ).
fof(f738,plain,
( ( ( ( op2(e23,op2(e21,e21)) = e23
| op2(e22,op2(e21,e21)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e21,e21)) = e20
| op2(e21,e21) != op2(e21,e21) )
& ~ sP55_prd )
| sP51_prd )
& ( ( op2(e23,op2(e21,e21)) != e23
& op2(e22,op2(e21,e21)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e20,op2(e21,e21)) != e20
& op2(e21,e21) = op2(e21,e21) )
| sP55_prd
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f737]) ).
fof(f739,plain,
( op2(e21,e21) = op2(e21,e21)
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f740,plain,
( op2(e20,op2(e21,e21)) != e20
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f741,plain,
( op2(e21,op2(e21,e21)) != e21
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f742,plain,
( op2(e22,op2(e21,e21)) != e22
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f743,plain,
( op2(e23,op2(e21,e21)) != e23
| sP55_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f744,plain,
( ~ sP55_prd
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f746,definition,
( sP56_prd
<=> ( ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f747,plain,
( sP52_prd
<=> ( ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f710,f746]) ).
fof(f748,plain,
( ( ( ( op1(op1(e11,e10),e10) = e11
| op1(op1(e11,e10),e11) != e10
| op1(e11,op1(e11,e10)) = e10 )
& ~ sP56_prd )
| sP52_prd )
& ( ( op1(op1(e11,e10),e10) != e11
& op1(op1(e11,e10),e11) = e10
& op1(e11,op1(e11,e10)) != e10 )
| sP56_prd
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f747]) ).
fof(f749,plain,
( op1(e11,op1(e11,e10)) != e10
| sP56_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f748]) ).
fof(f750,plain,
( op1(op1(e11,e10),e11) = e10
| sP56_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f748]) ).
fof(f751,plain,
( op1(op1(e11,e10),e10) != e11
| sP56_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f748]) ).
fof(f752,plain,
( ~ sP56_prd
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f748]) ).
fof(f754,definition,
( sP57_prd
<=> ( ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f755,plain,
( sP53_prd
<=> ( ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| sP57_prd ) ),
inference(formula_renaming,[status(thm)],[f718,f754]) ).
fof(f756,plain,
( ( ( ( op1(e13,op1(e11,e10)) = e13
| op1(e12,op1(e11,e10)) = e12
| op1(e11,op1(e11,e10)) = e11
| op1(e10,op1(e11,e10)) = e10
| op1(e10,e11) != op1(e11,e10) )
& ~ sP57_prd )
| sP53_prd )
& ( ( op1(e13,op1(e11,e10)) != e13
& op1(e12,op1(e11,e10)) != e12
& op1(e11,op1(e11,e10)) != e11
& op1(e10,op1(e11,e10)) != e10
& op1(e10,e11) = op1(e11,e10) )
| sP57_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f755]) ).
fof(f757,plain,
( op1(e10,e11) = op1(e11,e10)
| sP57_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f758,plain,
( op1(e10,op1(e11,e10)) != e10
| sP57_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f762,plain,
( ~ sP57_prd
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f756]) ).
fof(f764,definition,
( sP58_prd
<=> ( ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f765,plain,
( sP54_prd
<=> ( ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f728,f764]) ).
fof(f766,plain,
( ( ( ( op2(op2(e21,e20),e20) = e21
| op2(op2(e21,e20),e21) != e20
| op2(e21,op2(e21,e20)) = e20 )
& ~ sP58_prd )
| sP54_prd )
& ( ( op2(op2(e21,e20),e20) != e21
& op2(op2(e21,e20),e21) = e20
& op2(e21,op2(e21,e20)) != e20 )
| sP58_prd
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f765]) ).
fof(f767,plain,
( op2(e21,op2(e21,e20)) != e20
| sP58_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f766]) ).
fof(f768,plain,
( op2(op2(e21,e20),e21) = e20
| sP58_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f766]) ).
fof(f769,plain,
( op2(op2(e21,e20),e20) != e21
| sP58_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f766]) ).
fof(f770,plain,
( ~ sP58_prd
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f766]) ).
fof(f772,definition,
( sP59_prd
<=> ( ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f773,plain,
( sP55_prd
<=> ( ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f736,f772]) ).
fof(f774,plain,
( ( ( ( op2(e23,op2(e21,e20)) = e23
| op2(e22,op2(e21,e20)) = e22
| op2(e21,op2(e21,e20)) = e21
| op2(e20,op2(e21,e20)) = e20
| op2(e20,e21) != op2(e21,e20) )
& ~ sP59_prd )
| sP55_prd )
& ( ( op2(e23,op2(e21,e20)) != e23
& op2(e22,op2(e21,e20)) != e22
& op2(e21,op2(e21,e20)) != e21
& op2(e20,op2(e21,e20)) != e20
& op2(e20,e21) = op2(e21,e20) )
| sP59_prd
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f773]) ).
fof(f775,plain,
( op2(e20,e21) = op2(e21,e20)
| sP59_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f774]) ).
fof(f776,plain,
( op2(e20,op2(e21,e20)) != e20
| sP59_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f774]) ).
fof(f780,plain,
( ~ sP59_prd
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f774]) ).
fof(f782,definition,
( sP60_prd
<=> ( ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f783,plain,
( sP56_prd
<=> ( ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| sP60_prd ) ),
inference(formula_renaming,[status(thm)],[f746,f782]) ).
fof(f784,plain,
( ( ( ( op1(op1(e10,e13),e13) = e10
| op1(op1(e10,e13),e10) != e13
| op1(e10,op1(e10,e13)) = e13 )
& ~ sP60_prd )
| sP56_prd )
& ( ( op1(op1(e10,e13),e13) != e10
& op1(op1(e10,e13),e10) = e13
& op1(e10,op1(e10,e13)) != e13 )
| sP60_prd
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f783]) ).
fof(f786,plain,
( op1(op1(e10,e13),e10) = e13
| sP60_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f784]) ).
fof(f788,plain,
( ~ sP60_prd
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f784]) ).
fof(f790,definition,
( sP61_prd
<=> ( ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f791,plain,
( sP57_prd
<=> ( ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f754,f790]) ).
fof(f792,plain,
( ( ( ( op1(e13,op1(e10,e13)) = e13
| op1(e12,op1(e10,e13)) = e12
| op1(e11,op1(e10,e13)) = e11
| op1(e10,op1(e10,e13)) = e10
| op1(e13,e10) != op1(e10,e13) )
& ~ sP61_prd )
| sP57_prd )
& ( ( op1(e13,op1(e10,e13)) != e13
& op1(e12,op1(e10,e13)) != e12
& op1(e11,op1(e10,e13)) != e11
& op1(e10,op1(e10,e13)) != e10
& op1(e13,e10) = op1(e10,e13) )
| sP61_prd
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f791]) ).
fof(f793,plain,
( op1(e13,e10) = op1(e10,e13)
| sP61_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f795,plain,
( op1(e11,op1(e10,e13)) != e11
| sP61_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f798,plain,
( ~ sP61_prd
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f799,plain,
( op1(e13,op1(e10,e13)) = e13
| op1(e12,op1(e10,e13)) = e12
| op1(e11,op1(e10,e13)) = e11
| op1(e10,op1(e10,e13)) = e10
| op1(e13,e10) != op1(e10,e13)
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f800,definition,
( sP62_prd
<=> ( ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f801,plain,
( sP58_prd
<=> ( ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f764,f800]) ).
fof(f802,plain,
( ( ( ( op2(op2(e20,e23),e23) = e20
| op2(op2(e20,e23),e20) != e23
| op2(e20,op2(e20,e23)) = e23 )
& ~ sP62_prd )
| sP58_prd )
& ( ( op2(op2(e20,e23),e23) != e20
& op2(op2(e20,e23),e20) = e23
& op2(e20,op2(e20,e23)) != e23 )
| sP62_prd
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f801]) ).
fof(f804,plain,
( op2(op2(e20,e23),e20) = e23
| sP62_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f802]) ).
fof(f806,plain,
( ~ sP62_prd
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f802]) ).
fof(f808,definition,
( sP63_prd
<=> ( ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f809,plain,
( sP59_prd
<=> ( ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f772,f808]) ).
fof(f810,plain,
( ( ( ( op2(e23,op2(e20,e23)) = e23
| op2(e22,op2(e20,e23)) = e22
| op2(e21,op2(e20,e23)) = e21
| op2(e20,op2(e20,e23)) = e20
| op2(e23,e20) != op2(e20,e23) )
& ~ sP63_prd )
| sP59_prd )
& ( ( op2(e23,op2(e20,e23)) != e23
& op2(e22,op2(e20,e23)) != e22
& op2(e21,op2(e20,e23)) != e21
& op2(e20,op2(e20,e23)) != e20
& op2(e23,e20) = op2(e20,e23) )
| sP63_prd
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f809]) ).
fof(f811,plain,
( op2(e23,e20) = op2(e20,e23)
| sP63_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f810]) ).
fof(f813,plain,
( op2(e21,op2(e20,e23)) != e21
| sP63_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f810]) ).
fof(f816,plain,
( ~ sP63_prd
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f810]) ).
fof(f817,plain,
( op2(e23,op2(e20,e23)) = e23
| op2(e22,op2(e20,e23)) = e22
| op2(e21,op2(e20,e23)) = e21
| op2(e20,op2(e20,e23)) = e20
| op2(e23,e20) != op2(e20,e23)
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f810]) ).
fof(f818,definition,
( sP64_prd
<=> ( ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f819,plain,
( sP60_prd
<=> ( ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f782,f818]) ).
fof(f820,plain,
( ( ( ( op1(op1(e10,e12),e12) = e10
| op1(op1(e10,e12),e10) != e12
| op1(e10,op1(e10,e12)) = e12 )
& ~ sP64_prd )
| sP60_prd )
& ( ( op1(op1(e10,e12),e12) != e10
& op1(op1(e10,e12),e10) = e12
& op1(e10,op1(e10,e12)) != e12 )
| sP64_prd
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f819]) ).
fof(f822,plain,
( op1(op1(e10,e12),e10) = e12
| sP64_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f824,plain,
( ~ sP64_prd
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f826,definition,
( sP65_prd
<=> ( ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f827,plain,
( sP61_prd
<=> ( ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f790,f826]) ).
fof(f828,plain,
( ( ( ( op1(e13,op1(e10,e12)) = e13
| op1(e12,op1(e10,e12)) = e12
| op1(e11,op1(e10,e12)) = e11
| op1(e10,op1(e10,e12)) = e10
| op1(e12,e10) != op1(e10,e12) )
& ~ sP65_prd )
| sP61_prd )
& ( ( op1(e13,op1(e10,e12)) != e13
& op1(e12,op1(e10,e12)) != e12
& op1(e11,op1(e10,e12)) != e11
& op1(e10,op1(e10,e12)) != e10
& op1(e12,e10) = op1(e10,e12) )
| sP65_prd
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f827]) ).
fof(f829,plain,
( op1(e12,e10) = op1(e10,e12)
| sP65_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f831,plain,
( op1(e11,op1(e10,e12)) != e11
| sP65_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f834,plain,
( ~ sP65_prd
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f835,plain,
( op1(e13,op1(e10,e12)) = e13
| op1(e12,op1(e10,e12)) = e12
| op1(e11,op1(e10,e12)) = e11
| op1(e10,op1(e10,e12)) = e10
| op1(e12,e10) != op1(e10,e12)
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f836,definition,
( sP66_prd
<=> ( ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f837,plain,
( sP62_prd
<=> ( ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| sP66_prd ) ),
inference(formula_renaming,[status(thm)],[f800,f836]) ).
fof(f838,plain,
( ( ( ( op2(op2(e20,e22),e22) = e20
| op2(op2(e20,e22),e20) != e22
| op2(e20,op2(e20,e22)) = e22 )
& ~ sP66_prd )
| sP62_prd )
& ( ( op2(op2(e20,e22),e22) != e20
& op2(op2(e20,e22),e20) = e22
& op2(e20,op2(e20,e22)) != e22 )
| sP66_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f837]) ).
fof(f840,plain,
( op2(op2(e20,e22),e20) = e22
| sP66_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f838]) ).
fof(f842,plain,
( ~ sP66_prd
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f838]) ).
fof(f844,definition,
( sP67_prd
<=> ( ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f845,plain,
( sP63_prd
<=> ( ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f808,f844]) ).
fof(f846,plain,
( ( ( ( op2(e23,op2(e20,e22)) = e23
| op2(e22,op2(e20,e22)) = e22
| op2(e21,op2(e20,e22)) = e21
| op2(e20,op2(e20,e22)) = e20
| op2(e22,e20) != op2(e20,e22) )
& ~ sP67_prd )
| sP63_prd )
& ( ( op2(e23,op2(e20,e22)) != e23
& op2(e22,op2(e20,e22)) != e22
& op2(e21,op2(e20,e22)) != e21
& op2(e20,op2(e20,e22)) != e20
& op2(e22,e20) = op2(e20,e22) )
| sP67_prd
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f845]) ).
fof(f847,plain,
( op2(e22,e20) = op2(e20,e22)
| sP67_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f846]) ).
fof(f849,plain,
( op2(e21,op2(e20,e22)) != e21
| sP67_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f846]) ).
fof(f852,plain,
( ~ sP67_prd
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f846]) ).
fof(f854,definition,
( sP68_prd
<=> ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f855,plain,
( sP64_prd
<=> ( ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f818,f854]) ).
fof(f856,plain,
( ( ( ( op1(op1(e10,e11),e11) = e10
| op1(op1(e10,e11),e10) != e11
| op1(e10,op1(e10,e11)) = e11 )
& ~ sP68_prd )
| sP64_prd )
& ( ( op1(op1(e10,e11),e11) != e10
& op1(op1(e10,e11),e10) = e11
& op1(e10,op1(e10,e11)) != e11 )
| sP68_prd
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f855]) ).
fof(f858,plain,
( op1(op1(e10,e11),e10) = e11
| sP68_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f859,plain,
( op1(op1(e10,e11),e11) != e10
| sP68_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f860,plain,
( ~ sP68_prd
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f861,plain,
( op1(op1(e10,e11),e11) = e10
| op1(op1(e10,e11),e10) != e11
| op1(e10,op1(e10,e11)) = e11
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f862,definition,
( sP69_prd
<=> ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f863,plain,
( sP65_prd
<=> ( ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| sP69_prd ) ),
inference(formula_renaming,[status(thm)],[f826,f862]) ).
fof(f864,plain,
( ( ( ( op1(e13,op1(e10,e11)) = e13
| op1(e12,op1(e10,e11)) = e12
| op1(e11,op1(e10,e11)) = e11
| op1(e10,op1(e10,e11)) = e10
| op1(e11,e10) != op1(e10,e11) )
& ~ sP69_prd )
| sP65_prd )
& ( ( op1(e13,op1(e10,e11)) != e13
& op1(e12,op1(e10,e11)) != e12
& op1(e11,op1(e10,e11)) != e11
& op1(e10,op1(e10,e11)) != e10
& op1(e11,e10) = op1(e10,e11) )
| sP69_prd
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f863]) ).
fof(f865,plain,
( op1(e11,e10) = op1(e10,e11)
| sP69_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f866,plain,
( op1(e10,op1(e10,e11)) != e10
| sP69_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f870,plain,
( ~ sP69_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f872,definition,
( sP70_prd
<=> ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f873,plain,
( sP66_prd
<=> ( ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| sP70_prd ) ),
inference(formula_renaming,[status(thm)],[f836,f872]) ).
fof(f874,plain,
( ( ( ( op2(op2(e20,e21),e21) = e20
| op2(op2(e20,e21),e20) != e21
| op2(e20,op2(e20,e21)) = e21 )
& ~ sP70_prd )
| sP66_prd )
& ( ( op2(op2(e20,e21),e21) != e20
& op2(op2(e20,e21),e20) = e21
& op2(e20,op2(e20,e21)) != e21 )
| sP70_prd
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f873]) ).
fof(f876,plain,
( op2(op2(e20,e21),e20) = e21
| sP70_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f874]) ).
fof(f877,plain,
( op2(op2(e20,e21),e21) != e20
| sP70_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f874]) ).
fof(f878,plain,
( ~ sP70_prd
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f874]) ).
fof(f879,plain,
( op2(op2(e20,e21),e21) = e20
| op2(op2(e20,e21),e20) != e21
| op2(e20,op2(e20,e21)) = e21
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f874]) ).
fof(f880,definition,
( sP71_prd
<=> ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f881,plain,
( sP67_prd
<=> ( ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f844,f880]) ).
fof(f882,plain,
( ( ( ( op2(e23,op2(e20,e21)) = e23
| op2(e22,op2(e20,e21)) = e22
| op2(e21,op2(e20,e21)) = e21
| op2(e20,op2(e20,e21)) = e20
| op2(e21,e20) != op2(e20,e21) )
& ~ sP71_prd )
| sP67_prd )
& ( ( op2(e23,op2(e20,e21)) != e23
& op2(e22,op2(e20,e21)) != e22
& op2(e21,op2(e20,e21)) != e21
& op2(e20,op2(e20,e21)) != e20
& op2(e21,e20) = op2(e20,e21) )
| sP71_prd
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f881]) ).
fof(f883,plain,
( op2(e21,e20) = op2(e20,e21)
| sP71_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f882]) ).
fof(f884,plain,
( op2(e20,op2(e20,e21)) != e20
| sP71_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f882]) ).
fof(f888,plain,
( ~ sP71_prd
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f882]) ).
fof(f890,plain,
( ( op1(op1(e10,e10),e10) = e10
| op1(op1(e10,e10),e10) != e10
| op1(e10,op1(e10,e10)) = e10
| sP68_prd )
& ( ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,op1(e10,e10)) != e10 )
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f854]) ).
fof(f892,plain,
( op1(op1(e10,e10),e10) = e10
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f890]) ).
fof(f893,plain,
( op1(op1(e10,e10),e10) != e10
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f890]) ).
fof(f895,plain,
( ( op1(e13,op1(e10,e10)) = e13
| op1(e12,op1(e10,e10)) = e12
| op1(e11,op1(e10,e10)) = e11
| op1(e10,op1(e10,e10)) = e10
| op1(e10,e10) != op1(e10,e10)
| sP69_prd )
& ( ( op1(e13,op1(e10,e10)) != e13
& op1(e12,op1(e10,e10)) != e12
& op1(e11,op1(e10,e10)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = op1(e10,e10) )
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f862]) ).
fof(f899,plain,
( op1(e12,op1(e10,e10)) != e12
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f895]) ).
fof(f900,plain,
( op1(e13,op1(e10,e10)) != e13
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f895]) ).
fof(f901,plain,
( op1(e13,op1(e10,e10)) = e13
| op1(e12,op1(e10,e10)) = e12
| op1(e11,op1(e10,e10)) = e11
| op1(e10,op1(e10,e10)) = e10
| op1(e10,e10) != op1(e10,e10)
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f895]) ).
fof(f902,plain,
( ( op2(op2(e20,e20),e20) = e20
| op2(op2(e20,e20),e20) != e20
| op2(e20,op2(e20,e20)) = e20
| sP70_prd )
& ( ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,op2(e20,e20)) != e20 )
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f872]) ).
fof(f904,plain,
( op2(op2(e20,e20),e20) = e20
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f902]) ).
fof(f905,plain,
( op2(op2(e20,e20),e20) != e20
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f902]) ).
fof(f907,plain,
( ( op2(e23,op2(e20,e20)) = e23
| op2(e22,op2(e20,e20)) = e22
| op2(e21,op2(e20,e20)) = e21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,e20) != op2(e20,e20)
| sP71_prd )
& ( ( op2(e23,op2(e20,e20)) != e23
& op2(e22,op2(e20,e20)) != e22
& op2(e21,op2(e20,e20)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = op2(e20,e20) )
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f880]) ).
fof(f911,plain,
( op2(e22,op2(e20,e20)) != e22
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f907]) ).
fof(f912,plain,
( op2(e23,op2(e20,e20)) != e23
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f907]) ).
fof(f913,plain,
( op2(e23,op2(e20,e20)) = e23
| op2(e22,op2(e20,e20)) = e22
| op2(e21,op2(e20,e20)) = e21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,e20) != op2(e20,e20)
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f907]) ).
fof(f914,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f915,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f917,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f918,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f920,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f923,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f924,plain,
( ~ sQ3_spl
| op1(e10,e10) = e13 ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f927,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f934,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21,f927,f930,f933,f936]) ).
fof(f940,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f946,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f950,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f953,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f954,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f956,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f957,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f960,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f959]) ).
fof(f962,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f966,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f967,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f970,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f973,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f975,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f976,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f975]) ).
fof(f978,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f24,f966,f969,f972,f975]) ).
fof(f979,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( ~ sQ20_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f983,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f982]) ).
fof(f985,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f986,plain,
( ~ sQ22_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f985]) ).
fof(f988,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f989,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f988]) ).
fof(f991,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f25,f979,f982,f985,f988]) ).
fof(f992,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f993,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f996,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f999,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f998]) ).
fof(f1001,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1002,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f1001]) ).
fof(f1004,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f26,f992,f995,f998,f1001]) ).
fof(f1005,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1008,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1009,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f1008]) ).
fof(f1011,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1017,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f27,f1005,f1008,f1011,f1014]) ).
fof(f1018,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1022,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1024,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1027,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1028,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f1027]) ).
fof(f1030,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f28,f1018,f1021,f1024,f1027]) ).
fof(f1031,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1032,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1034,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1035,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f1034]) ).
fof(f1037,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1038,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f1037]) ).
fof(f1040,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f1040]) ).
fof(f1043,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f29,f1031,f1034,f1037,f1040]) ).
fof(f1044,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
( ~ sQ40_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1047,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1048,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1050,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1051,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f1050]) ).
fof(f1053,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1054,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1056,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f30,f1044,f1047,f1050,f1053]) ).
fof(f1057,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1059,plain,
( sQ44_spl
| op1(e12,e13) != e10 ),
inference(component_clause,[status(thm)],[f1057]) ).
fof(f1060,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1061,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1066,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f31,f1057,f1060,f1063,f1066]) ).
fof(f1070,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1071,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1074,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1076,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1079,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1080,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f1079]) ).
fof(f1082,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f32,f1070,f1073,f1076,f1079]) ).
fof(f1083,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1084,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1086,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1087,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1089,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1090,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f1089]) ).
fof(f1092,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1093,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f1092]) ).
fof(f1095,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f33,f1083,f1086,f1089,f1092]) ).
fof(f1096,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1097,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f1096]) ).
fof(f1099,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1102,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1103,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1106,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1107,plain,
( sQ59_spl
| op1(e13,e12) != e13 ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1108,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f34,f1096,f1099,f1102,f1105]) ).
fof(f1109,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1112,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1113,plain,
( ~ sQ61_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f1112]) ).
fof(f1115,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1116,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f1115]) ).
fof(f1118,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1119,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1121,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f35,f1109,f1112,f1115,f1118]) ).
fof(f1122,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f914,f927,f940,f953]) ).
fof(f1123,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f914,f966,f1018,f1070]) ).
fof(f1124,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f38,f917,f930,f943,f956]) ).
fof(f1125,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f39,f917,f969,f1021,f1073]) ).
fof(f1126,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f920,f933,f946,f959]) ).
fof(f1129,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f43,f923,f975,f1027,f1079]) ).
fof(f1130,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f44,f966,f979,f992,f1005]) ).
fof(f1131,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f45,f927,f979,f1031,f1083]) ).
fof(f1132,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f969,f982,f995,f1008]) ).
fof(f1133,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f930,f982,f1034,f1086]) ).
fof(f1134,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f48,f972,f985,f998,f1011]) ).
fof(f1135,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f49,f933,f985,f1037,f1089]) ).
fof(f1136,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f50,f975,f988,f1001,f1014]) ).
fof(f1138,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f52,f1018,f1031,f1044,f1057]) ).
fof(f1139,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f940,f992,f1044,f1096]) ).
fof(f1142,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f56,f1024,f1037,f1050,f1063]) ).
fof(f1143,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f946,f998,f1050,f1102]) ).
fof(f1144,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f58,f1027,f1040,f1053,f1066]) ).
fof(f1145,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f949,f1001,f1053,f1105]) ).
fof(f1146,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f60,f1070,f1083,f1096,f1109]) ).
fof(f1148,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f62,f1073,f1086,f1099,f1112]) ).
fof(f1149,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f63,f956,f1008,f1060,f1112]) ).
fof(f1150,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f64,f1076,f1089,f1102,f1115]) ).
fof(f1151,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f65,f959,f1011,f1063,f1115]) ).
fof(f1152,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f66,f1079,f1092,f1105,f1118]) ).
fof(f1153,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f962,f1014,f1066,f1118]) ).
fof(f1154,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1157,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1158,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1160,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1163,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1164,plain,
( ~ sQ67_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f1163]) ).
fof(f1167,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1168,plain,
( ~ sQ68_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1170,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1171,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1174,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f1173]) ).
fof(f1176,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1179,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f69,f1167,f1170,f1173,f1176]) ).
fof(f1180,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1181,plain,
( ~ sQ72_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f1180]) ).
fof(f1183,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1186,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1187,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f1186]) ).
fof(f1189,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1190,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f1189]) ).
fof(f1193,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1194,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1196,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1197,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1199,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1200,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f1199]) ).
fof(f1202,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f1202]) ).
fof(f1206,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1207,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f1206]) ).
fof(f1209,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1210,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f1209]) ).
fof(f1212,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1213,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1215,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1216,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1218,plain,
( sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f72,f1206,f1209,f1212,f1215]) ).
fof(f1219,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1220,plain,
( ~ sQ84_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f1219]) ).
fof(f1222,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1223,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f1222]) ).
fof(f1225,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1226,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1228,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1229,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f1228]) ).
fof(f1231,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f73,f1219,f1222,f1225,f1228]) ).
fof(f1232,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1233,plain,
( ~ sQ88_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f1232]) ).
fof(f1235,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1236,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1238,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1239,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f1238]) ).
fof(f1241,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1242,plain,
( ~ sQ91_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f1241]) ).
fof(f1244,plain,
( sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f74,f1232,f1235,f1238,f1241]) ).
fof(f1245,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1248,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1249,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1250,plain,
( sQ93_spl
| op2(e21,e23) != e21 ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1251,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1252,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1254,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1257,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f75,f1245,f1248,f1251,f1254]) ).
fof(f1258,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1259,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1261,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1262,plain,
( ~ sQ97_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f1261]) ).
fof(f1263,plain,
( sQ97_spl
| op2(e22,e20) != e21 ),
inference(component_clause,[status(thm)],[f1261]) ).
fof(f1264,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1265,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1266,plain,
( sQ98_spl
| op2(e22,e20) != e22 ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1267,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1268,plain,
( ~ sQ99_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f1267]) ).
fof(f1270,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f76,f1258,f1261,f1264,f1267]) ).
fof(f1271,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1272,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1273,plain,
( sQ100_spl
| op2(e22,e21) != e20 ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1275,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1277,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1278,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f1277]) ).
fof(f1280,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1281,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f1280]) ).
fof(f1284,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1285,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f1284]) ).
fof(f1287,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1288,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f1287]) ).
fof(f1290,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1291,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f1290]) ).
fof(f1292,plain,
( sQ106_spl
| op2(e22,e22) != e22 ),
inference(component_clause,[status(thm)],[f1290]) ).
fof(f1293,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1294,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1295,plain,
( sQ107_spl
| op2(e22,e22) != e23 ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1296,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f78,f1284,f1287,f1290,f1293]) ).
fof(f1297,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1300,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1301,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f1300]) ).
fof(f1303,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1304,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f1303]) ).
fof(f1306,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1307,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f1306]) ).
fof(f1309,plain,
( sQ111_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f79,f1297,f1300,f1303,f1306]) ).
fof(f1310,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f1310]) ).
fof(f1313,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1314,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f1313]) ).
fof(f1316,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1317,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f1316]) ).
fof(f1319,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1320,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f1319]) ).
fof(f1322,plain,
( sQ115_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f80,f1310,f1313,f1316,f1319]) ).
fof(f1323,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1324,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f1323]) ).
fof(f1326,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1327,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f1326]) ).
fof(f1329,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1330,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f1329]) ).
fof(f1332,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1333,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f1332]) ).
fof(f1335,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f81,f1323,f1326,f1329,f1332]) ).
fof(f1336,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f1336]) ).
fof(f1339,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1340,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f1339]) ).
fof(f1342,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f1342]) ).
fof(f1345,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f1345]) ).
fof(f1348,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f82,f1336,f1339,f1342,f1345]) ).
fof(f1349,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1350,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f1349]) ).
fof(f1352,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1353,plain,
( ~ sQ125_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1356,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f1355]) ).
fof(f1357,plain,
( sQ126_spl
| op2(e23,e23) != e22 ),
inference(component_clause,[status(thm)],[f1355]) ).
fof(f1358,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1359,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f1358]) ).
fof(f1362,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f1154,f1167,f1180,f1193]) ).
fof(f1363,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f1154,f1206,f1258,f1310]) ).
fof(f1365,plain,
( sQ113_spl
| sQ97_spl
| sQ81_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f87,f1157,f1209,f1261,f1313]) ).
fof(f1366,plain,
( sQ78_spl
| sQ74_spl
| sQ70_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f88,f1160,f1173,f1186,f1199]) ).
fof(f1369,plain,
( sQ115_spl
| sQ99_spl
| sQ83_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f91,f1163,f1215,f1267,f1319]) ).
fof(f1370,plain,
( sQ92_spl
| sQ88_spl
| sQ84_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f92,f1206,f1219,f1232,f1245]) ).
fof(f1371,plain,
( sQ116_spl
| sQ100_spl
| sQ84_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f93,f1167,f1219,f1271,f1323]) ).
fof(f1372,plain,
( sQ93_spl
| sQ89_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f94,f1209,f1222,f1235,f1248]) ).
fof(f1373,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f95,f1170,f1222,f1274,f1326]) ).
fof(f1374,plain,
( sQ94_spl
| sQ90_spl
| sQ86_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f96,f1212,f1225,f1238,f1251]) ).
fof(f1375,plain,
( sQ118_spl
| sQ102_spl
| sQ86_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f97,f1173,f1225,f1277,f1329]) ).
fof(f1376,plain,
( sQ95_spl
| sQ91_spl
| sQ87_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f98,f1215,f1228,f1241,f1254]) ).
fof(f1378,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f1258,f1271,f1284,f1297]) ).
fof(f1379,plain,
( sQ120_spl
| sQ104_spl
| sQ88_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f101,f1180,f1232,f1284,f1336]) ).
fof(f1380,plain,
( sQ109_spl
| sQ105_spl
| sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f102,f1261,f1274,f1287,f1300]) ).
fof(f1381,plain,
( sQ121_spl
| sQ105_spl
| sQ89_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f103,f1183,f1235,f1287,f1339]) ).
fof(f1382,plain,
( sQ110_spl
| sQ106_spl
| sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f104,f1264,f1277,f1290,f1303]) ).
fof(f1383,plain,
( sQ122_spl
| sQ106_spl
| sQ90_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f105,f1186,f1238,f1290,f1342]) ).
fof(f1384,plain,
( sQ111_spl
| sQ107_spl
| sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f106,f1267,f1280,f1293,f1306]) ).
fof(f1385,plain,
( sQ123_spl
| sQ107_spl
| sQ91_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f107,f1189,f1241,f1293,f1345]) ).
fof(f1386,plain,
( sQ124_spl
| sQ120_spl
| sQ116_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f108,f1310,f1323,f1336,f1349]) ).
fof(f1388,plain,
( sQ125_spl
| sQ121_spl
| sQ117_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f110,f1313,f1326,f1339,f1352]) ).
fof(f1389,plain,
( sQ125_spl
| sQ109_spl
| sQ93_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f111,f1196,f1248,f1300,f1352]) ).
fof(f1390,plain,
( sQ126_spl
| sQ122_spl
| sQ118_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f112,f1316,f1329,f1342,f1355]) ).
fof(f1391,plain,
( sQ126_spl
| sQ110_spl
| sQ94_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f113,f1199,f1251,f1303,f1355]) ).
fof(f1392,plain,
( sQ127_spl
| sQ123_spl
| sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f114,f1319,f1332,f1345,f1358]) ).
fof(f1393,plain,
( sQ127_spl
| sQ111_spl
| sQ95_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f115,f1202,f1254,f1306,f1358]) ).
fof(f1394,definition,
( sQ128_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1397,definition,
( sQ129_spl
<=> op1(e13,op1(e13,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1399,plain,
( sQ129_spl
| op1(e13,op1(e13,e13)) != e13 ),
inference(component_clause,[status(thm)],[f1397]) ).
fof(f1400,plain,
( ~ sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f243,f1394,f1397]) ).
fof(f1401,definition,
( sQ130_spl
<=> op1(op1(e13,e13),e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1402,plain,
( ~ sQ130_spl
| op1(op1(e13,e13),e13) = e13 ),
inference(component_clause,[status(thm)],[f1401]) ).
fof(f1403,plain,
( sQ130_spl
| op1(op1(e13,e13),e13) != e13 ),
inference(component_clause,[status(thm)],[f1401]) ).
fof(f1404,plain,
( sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f244,f1394,f1401]) ).
fof(f1405,plain,
( ~ sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f245,f1394,f1401]) ).
fof(f1406,definition,
( sQ131_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1409,definition,
( sQ132_spl
<=> op1(e13,e13) = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1412,plain,
( sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f246,f1406,f1409]) ).
fof(f1413,definition,
( sQ133_spl
<=> op1(e10,op1(e13,e13)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1415,plain,
( sQ133_spl
| op1(e10,op1(e13,e13)) != e10 ),
inference(component_clause,[status(thm)],[f1413]) ).
fof(f1416,plain,
( ~ sQ133_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f247,f1406,f1413]) ).
fof(f1417,definition,
( sQ134_spl
<=> op1(e11,op1(e13,e13)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
( sQ134_spl
| op1(e11,op1(e13,e13)) != e11 ),
inference(component_clause,[status(thm)],[f1417]) ).
fof(f1420,plain,
( ~ sQ134_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f248,f1406,f1417]) ).
fof(f1421,definition,
( sQ135_spl
<=> op1(e12,op1(e13,e13)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1423,plain,
( sQ135_spl
| op1(e12,op1(e13,e13)) != e12 ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1424,plain,
( ~ sQ135_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f249,f1406,f1421]) ).
fof(f1425,plain,
( ~ sQ129_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f250,f1406,f1397]) ).
fof(f1426,definition,
( sQ136_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1429,definition,
( sQ137_spl
<=> op2(e23,op2(e23,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1430,plain,
( ~ sQ137_spl
| op2(e23,op2(e23,e23)) = e23 ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1431,plain,
( sQ137_spl
| op2(e23,op2(e23,e23)) != e23 ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1432,plain,
( ~ sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f254,f1426,f1429]) ).
fof(f1433,definition,
( sQ138_spl
<=> op2(op2(e23,e23),e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1434,plain,
( ~ sQ138_spl
| op2(op2(e23,e23),e23) = e23 ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1435,plain,
( sQ138_spl
| op2(op2(e23,e23),e23) != e23 ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1436,plain,
( sQ138_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f255,f1426,f1433]) ).
fof(f1437,plain,
( ~ sQ138_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f256,f1426,f1433]) ).
fof(f1438,definition,
( sQ139_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1445,definition,
( sQ141_spl
<=> op2(e20,op2(e23,e23)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
( sQ141_spl
| op2(e20,op2(e23,e23)) != e20 ),
inference(component_clause,[status(thm)],[f1445]) ).
fof(f1448,plain,
( ~ sQ141_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f258,f1438,f1445]) ).
fof(f1457,plain,
( ~ sQ137_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f261,f1438,f1429]) ).
fof(f1458,definition,
( sQ144_spl
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1460,plain,
( sQ144_spl
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1461,definition,
( sQ145_spl
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1463,plain,
( sQ145_spl
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(component_clause,[status(thm)],[f1461]) ).
fof(f1464,definition,
( sQ146_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1466,plain,
( sQ146_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f1464]) ).
fof(f1467,definition,
( sQ147_spl
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1469,plain,
( sQ147_spl
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1470,definition,
( sQ148_spl
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
( ~ sQ148_spl
| h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1472,plain,
( sQ148_spl
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1473,definition,
( sQ149_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1475,plain,
( sQ149_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f1473]) ).
fof(f1476,definition,
( sQ150_spl
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1477,plain,
( ~ sQ150_spl
| h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
inference(component_clause,[status(thm)],[f1476]) ).
fof(f1478,plain,
( sQ150_spl
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12)) ),
inference(component_clause,[status(thm)],[f1476]) ).
fof(f1479,definition,
( sQ151_spl
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1481,plain,
( sQ151_spl
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13)) ),
inference(component_clause,[status(thm)],[f1479]) ).
fof(f1482,definition,
( sQ152_spl
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( sQ152_spl
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f1482]) ).
fof(f1485,definition,
( sQ153_spl
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1487,plain,
( sQ153_spl
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11)) ),
inference(component_clause,[status(thm)],[f1485]) ).
fof(f1488,definition,
( sQ154_spl
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1490,plain,
( sQ154_spl
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f1488]) ).
fof(f1491,definition,
( sQ155_spl
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1493,plain,
( sQ155_spl
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f1491]) ).
fof(f1494,definition,
( sQ156_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1496,plain,
( sQ156_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f1494]) ).
fof(f1497,definition,
( sQ157_spl
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1499,plain,
( sQ157_spl
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f1497]) ).
fof(f1500,definition,
( sQ158_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1502,plain,
( sQ158_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f1500]) ).
fof(f1503,definition,
( sQ159_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
( sQ159_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f1503]) ).
fof(f1506,definition,
( sQ160_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1509,definition,
( sQ161_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1512,definition,
( sQ162_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1527,definition,
( sQ166_spl
<=> h1(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1529,plain,
( sQ166_spl
| h1(e13) != e23 ),
inference(component_clause,[status(thm)],[f1527]) ).
fof(f1530,plain,
( ~ sQ166_spl
| sQ162_spl
| sQ161_spl
| sQ160_spl
| ~ sQ159_spl
| ~ sQ158_spl
| ~ sQ157_spl
| ~ sQ156_spl
| ~ sQ155_spl
| ~ sQ154_spl
| ~ sQ153_spl
| ~ sQ152_spl
| ~ sQ151_spl
| ~ sQ150_spl
| ~ sQ149_spl
| ~ sQ148_spl
| ~ sQ147_spl
| ~ sQ146_spl
| ~ sQ145_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f301,f1458,f1461,f1464,f1467,f1470,f1473,f1476,f1479,f1482,f1485,f1488,f1491,f1494,f1497,f1500,f1503,f1506,f1509,f1512,f1527]) ).
fof(f1531,definition,
( sQ167_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1532,plain,
( ~ sQ167_spl
| h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f1531]) ).
fof(f1533,plain,
( sQ167_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f1531]) ).
fof(f1534,definition,
( sQ168_spl
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1535,plain,
( ~ sQ168_spl
| h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f1534]) ).
fof(f1536,plain,
( sQ168_spl
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f1534]) ).
fof(f1537,definition,
( sQ169_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1539,plain,
( sQ169_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f1537]) ).
fof(f1540,definition,
( sQ170_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1541,plain,
( ~ sQ170_spl
| h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1540]) ).
fof(f1542,plain,
( sQ170_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1540]) ).
fof(f1543,definition,
( sQ171_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1545,plain,
( sQ171_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f1543]) ).
fof(f1546,definition,
( sQ172_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1548,plain,
( sQ172_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f1546]) ).
fof(f1549,definition,
( sQ173_spl
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1551,plain,
( sQ173_spl
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f1549]) ).
fof(f1555,definition,
( sQ175_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1557,plain,
( sQ175_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1555]) ).
fof(f1558,definition,
( sQ176_spl
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1560,plain,
( sQ176_spl
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(component_clause,[status(thm)],[f1558]) ).
fof(f1564,definition,
( sQ178_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1566,plain,
( sQ178_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1564]) ).
fof(f1570,definition,
( sQ180_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1572,plain,
( sQ180_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1573,definition,
( sQ181_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1575,plain,
( sQ181_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f1573]) ).
fof(f1579,definition,
( sQ183_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1582,definition,
( sQ184_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1585,definition,
( sQ185_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1596,definition,
( sQ188_spl
<=> h2(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1598,plain,
( sQ188_spl
| h2(e12) != e23 ),
inference(component_clause,[status(thm)],[f1596]) ).
fof(f1604,definition,
( sQ190_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1605,plain,
( ~ sQ190_spl
| h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1604]) ).
fof(f1606,plain,
( sQ190_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1604]) ).
fof(f1607,definition,
( sQ191_spl
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1608,plain,
( ~ sQ191_spl
| h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
inference(component_clause,[status(thm)],[f1607]) ).
fof(f1609,plain,
( sQ191_spl
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11)) ),
inference(component_clause,[status(thm)],[f1607]) ).
fof(f1610,definition,
( sQ192_spl
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1612,plain,
( sQ192_spl
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ),
inference(component_clause,[status(thm)],[f1610]) ).
fof(f1613,definition,
( sQ193_spl
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1614,plain,
( ~ sQ193_spl
| h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1613]) ).
fof(f1615,plain,
( sQ193_spl
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1613]) ).
fof(f1619,definition,
( sQ195_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1621,plain,
( sQ195_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f1619]) ).
fof(f1622,definition,
( sQ196_spl
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1624,plain,
( sQ196_spl
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f1622]) ).
fof(f1640,definition,
( sQ202_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1642,plain,
( sQ202_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f1640]) ).
fof(f1643,definition,
( sQ203_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1644,plain,
( ~ sQ203_spl
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1643]) ).
fof(f1645,plain,
( sQ203_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1643]) ).
fof(f1646,definition,
( sQ204_spl
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1648,plain,
( sQ204_spl
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f1646]) ).
fof(f1649,definition,
( sQ205_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1651,plain,
( sQ205_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1649]) ).
fof(f1652,definition,
( sQ206_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1655,definition,
( sQ207_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1658,definition,
( sQ208_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1665,definition,
( sQ210_spl
<=> h3(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1666,plain,
( ~ sQ210_spl
| h3(e11) = e23 ),
inference(component_clause,[status(thm)],[f1665]) ).
fof(f1667,plain,
( sQ210_spl
| h3(e11) != e23 ),
inference(component_clause,[status(thm)],[f1665]) ).
fof(f1669,definition,
( sQ211_spl
<=> h3(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1670,plain,
( ~ sQ211_spl
| h3(e12) = e23 ),
inference(component_clause,[status(thm)],[f1669]) ).
fof(f1671,plain,
( sQ211_spl
| h3(e12) != e23 ),
inference(component_clause,[status(thm)],[f1669]) ).
fof(f1673,definition,
( sQ212_spl
<=> h3(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1677,definition,
( sQ213_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1678,plain,
( ~ sQ213_spl
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1677]) ).
fof(f1679,plain,
( sQ213_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1677]) ).
fof(f1680,definition,
( sQ214_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1681,plain,
( ~ sQ214_spl
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f1680]) ).
fof(f1682,plain,
( sQ214_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f1680]) ).
fof(f1683,definition,
( sQ215_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1684,plain,
( ~ sQ215_spl
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1685,plain,
( sQ215_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1725,definition,
( sQ229_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1728,definition,
( sQ230_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1731,definition,
( sQ231_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1734,definition,
( sQ232_spl
<=> h4(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1736,plain,
( sQ232_spl
| h4(e10) != e23 ),
inference(component_clause,[status(thm)],[f1734]) ).
fof(f1738,definition,
( sQ233_spl
<=> h4(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1739,plain,
( ~ sQ233_spl
| h4(e11) = e23 ),
inference(component_clause,[status(thm)],[f1738]) ).
fof(f1740,plain,
( sQ233_spl
| h4(e11) != e23 ),
inference(component_clause,[status(thm)],[f1738]) ).
fof(f1742,definition,
( sQ234_spl
<=> h4(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1743,plain,
( ~ sQ234_spl
| h4(e12) = e23 ),
inference(component_clause,[status(thm)],[f1742]) ).
fof(f1744,plain,
( sQ234_spl
| h4(e12) != e23 ),
inference(component_clause,[status(thm)],[f1742]) ).
fof(f1750,definition,
( sQ236_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1753,definition,
( sQ237_spl
<=> op1(e13,op1(e13,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1754,plain,
( ~ sQ237_spl
| op1(e13,op1(e13,e12)) = e12 ),
inference(component_clause,[status(thm)],[f1753]) ).
fof(f1755,plain,
( sQ237_spl
| op1(e13,op1(e13,e12)) != e12 ),
inference(component_clause,[status(thm)],[f1753]) ).
fof(f1756,plain,
( ~ sQ237_spl
| sQ236_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f317,f1394,f1750,f1753]) ).
fof(f1757,definition,
( sQ238_spl
<=> op1(op1(e13,e12),e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1758,plain,
( ~ sQ238_spl
| op1(op1(e13,e12),e13) = e12 ),
inference(component_clause,[status(thm)],[f1757]) ).
fof(f1759,plain,
( sQ238_spl
| op1(op1(e13,e12),e13) != e12 ),
inference(component_clause,[status(thm)],[f1757]) ).
fof(f1760,plain,
( sQ238_spl
| sQ236_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f318,f1394,f1750,f1757]) ).
fof(f1761,definition,
( sQ239_spl
<=> op1(op1(e13,e12),e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1762,plain,
( ~ sQ239_spl
| op1(op1(e13,e12),e12) = e13 ),
inference(component_clause,[status(thm)],[f1761]) ).
fof(f1763,plain,
( sQ239_spl
| op1(op1(e13,e12),e12) != e13 ),
inference(component_clause,[status(thm)],[f1761]) ).
fof(f1765,plain,
( ~ sQ236_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f320,f1394,f1750]) ).
fof(f1767,definition,
( sQ240_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1770,definition,
( sQ241_spl
<=> op1(e12,e13) = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1771,plain,
( ~ sQ241_spl
| op1(e12,e13) = op1(e13,e12) ),
inference(component_clause,[status(thm)],[f1770]) ).
fof(f1772,plain,
( sQ241_spl
| op1(e12,e13) != op1(e13,e12) ),
inference(component_clause,[status(thm)],[f1770]) ).
fof(f1773,plain,
( sQ241_spl
| sQ240_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f325,f1406,f1767,f1770]) ).
fof(f1782,definition,
( sQ244_spl
<=> op1(e12,op1(e13,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1783,plain,
( ~ sQ244_spl
| op1(e12,op1(e13,e12)) = e12 ),
inference(component_clause,[status(thm)],[f1782]) ).
fof(f1786,definition,
( sQ245_spl
<=> op1(e13,op1(e13,e12)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1787,plain,
( ~ sQ245_spl
| op1(e13,op1(e13,e12)) = e13 ),
inference(component_clause,[status(thm)],[f1786]) ).
fof(f1788,plain,
( sQ245_spl
| op1(e13,op1(e13,e12)) != e13 ),
inference(component_clause,[status(thm)],[f1786]) ).
fof(f1789,plain,
( ~ sQ245_spl
| sQ240_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f329,f1406,f1767,f1786]) ).
fof(f1790,plain,
( ~ sQ240_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f330,f1406,f1767]) ).
fof(f1792,definition,
( sQ246_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1795,definition,
( sQ247_spl
<=> op2(e23,op2(e23,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1796,plain,
( ~ sQ247_spl
| op2(e23,op2(e23,e22)) = e22 ),
inference(component_clause,[status(thm)],[f1795]) ).
fof(f1797,plain,
( sQ247_spl
| op2(e23,op2(e23,e22)) != e22 ),
inference(component_clause,[status(thm)],[f1795]) ).
fof(f1798,plain,
( ~ sQ247_spl
| sQ246_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f335,f1426,f1792,f1795]) ).
fof(f1799,definition,
( sQ248_spl
<=> op2(op2(e23,e22),e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1800,plain,
( ~ sQ248_spl
| op2(op2(e23,e22),e23) = e22 ),
inference(component_clause,[status(thm)],[f1799]) ).
fof(f1802,plain,
( sQ248_spl
| sQ246_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f336,f1426,f1792,f1799]) ).
fof(f1803,definition,
( sQ249_spl
<=> op2(op2(e23,e22),e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1804,plain,
( ~ sQ249_spl
| op2(op2(e23,e22),e22) = e23 ),
inference(component_clause,[status(thm)],[f1803]) ).
fof(f1805,plain,
( sQ249_spl
| op2(op2(e23,e22),e22) != e23 ),
inference(component_clause,[status(thm)],[f1803]) ).
fof(f1807,plain,
( ~ sQ246_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f338,f1426,f1792]) ).
fof(f1809,definition,
( sQ250_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1812,definition,
( sQ251_spl
<=> op2(e22,e23) = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1813,plain,
( ~ sQ251_spl
| op2(e22,e23) = op2(e23,e22) ),
inference(component_clause,[status(thm)],[f1812]) ).
fof(f1814,plain,
( sQ251_spl
| op2(e22,e23) != op2(e23,e22) ),
inference(component_clause,[status(thm)],[f1812]) ).
fof(f1815,plain,
( sQ251_spl
| sQ250_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f343,f1438,f1809,f1812]) ).
fof(f1816,definition,
( sQ252_spl
<=> op2(e20,op2(e23,e22)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1817,plain,
( ~ sQ252_spl
| op2(e20,op2(e23,e22)) = e20 ),
inference(component_clause,[status(thm)],[f1816]) ).
fof(f1818,plain,
( sQ252_spl
| op2(e20,op2(e23,e22)) != e20 ),
inference(component_clause,[status(thm)],[f1816]) ).
fof(f1819,plain,
( ~ sQ252_spl
| sQ250_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f344,f1438,f1809,f1816]) ).
fof(f1824,definition,
( sQ254_spl
<=> op2(e22,op2(e23,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1825,plain,
( ~ sQ254_spl
| op2(e22,op2(e23,e22)) = e22 ),
inference(component_clause,[status(thm)],[f1824]) ).
fof(f1828,definition,
( sQ255_spl
<=> op2(e23,op2(e23,e22)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1829,plain,
( ~ sQ255_spl
| op2(e23,op2(e23,e22)) = e23 ),
inference(component_clause,[status(thm)],[f1828]) ).
fof(f1830,plain,
( sQ255_spl
| op2(e23,op2(e23,e22)) != e23 ),
inference(component_clause,[status(thm)],[f1828]) ).
fof(f1832,plain,
( ~ sQ250_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f348,f1438,f1809]) ).
fof(f1834,definition,
( sQ256_spl
<=> h1(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1836,plain,
( sQ256_spl
| h1(e10) != e20 ),
inference(component_clause,[status(thm)],[f1834]) ).
fof(f1837,plain,
( ~ sQ256_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f351,f1506,f1834]) ).
fof(f1842,definition,
( sQ258_spl
<=> h1(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1843,plain,
( ~ sQ258_spl
| h1(e12) = e20 ),
inference(component_clause,[status(thm)],[f1842]) ).
fof(f1846,definition,
( sQ259_spl
<=> h1(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1847,plain,
( ~ sQ259_spl
| h1(e13) = e20 ),
inference(component_clause,[status(thm)],[f1846]) ).
fof(f1851,definition,
( sQ260_spl
<=> h1(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1852,plain,
( ~ sQ260_spl
| h1(e10) = e21 ),
inference(component_clause,[status(thm)],[f1851]) ).
fof(f1855,definition,
( sQ261_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1857,plain,
( sQ261_spl
| h1(e11) != e21 ),
inference(component_clause,[status(thm)],[f1855]) ).
fof(f1858,plain,
( ~ sQ261_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f358,f1509,f1855]) ).
fof(f1859,definition,
( sQ262_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1860,plain,
( ~ sQ262_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f1859]) ).
fof(f1863,definition,
( sQ263_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1864,plain,
( ~ sQ263_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f1863]) ).
fof(f1868,definition,
( sQ264_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1869,plain,
( ~ sQ264_spl
| h1(e10) = e22 ),
inference(component_clause,[status(thm)],[f1868]) ).
fof(f1872,definition,
( sQ265_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1873,plain,
( ~ sQ265_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f1872]) ).
fof(f1876,definition,
( sQ266_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1878,plain,
( sQ266_spl
| h1(e12) != e22 ),
inference(component_clause,[status(thm)],[f1876]) ).
fof(f1879,plain,
( ~ sQ266_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f365,f1512,f1876]) ).
fof(f1880,definition,
( sQ267_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1881,plain,
( ~ sQ267_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f1880]) ).
fof(f1885,definition,
( sQ268_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1886,plain,
( ~ sQ268_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f1885]) ).
fof(f1889,definition,
( sQ269_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1890,plain,
( ~ sQ269_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f1889]) ).
fof(f1891,plain,
( sQ269_spl
| h2(e11) != e20 ),
inference(component_clause,[status(thm)],[f1889]) ).
fof(f1892,plain,
( ~ sQ269_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f370,f1579,f1889]) ).
fof(f1893,definition,
( sQ270_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f1894,plain,
( ~ sQ270_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f1893]) ).
fof(f1895,plain,
( sQ270_spl
| h2(e12) != e20 ),
inference(component_clause,[status(thm)],[f1893]) ).
fof(f1896,plain,
( ~ sQ270_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f371,f1579,f1893]) ).
fof(f1897,definition,
( sQ271_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1898,plain,
( ~ sQ271_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f1897]) ).
fof(f1900,plain,
( ~ sQ271_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f372,f1579,f1897]) ).
fof(f1902,definition,
( sQ272_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1904,plain,
( sQ272_spl
| h2(e10) != e21 ),
inference(component_clause,[status(thm)],[f1902]) ).
fof(f1905,plain,
( ~ sQ272_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f375,f1582,f1902]) ).
fof(f1906,definition,
( sQ273_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1907,plain,
( ~ sQ273_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f1906]) ).
fof(f1908,plain,
( sQ273_spl
| h2(e11) != e21 ),
inference(component_clause,[status(thm)],[f1906]) ).
fof(f1910,definition,
( sQ274_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1911,plain,
( ~ sQ274_spl
| h2(e12) = e21 ),
inference(component_clause,[status(thm)],[f1910]) ).
fof(f1912,plain,
( sQ274_spl
| h2(e12) != e21 ),
inference(component_clause,[status(thm)],[f1910]) ).
fof(f1914,definition,
( sQ275_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f1915,plain,
( ~ sQ275_spl
| h2(e13) = e21 ),
inference(component_clause,[status(thm)],[f1914]) ).
fof(f1919,definition,
( sQ276_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f1920,plain,
( ~ sQ276_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f1919]) ).
fof(f1923,definition,
( sQ277_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f1924,plain,
( ~ sQ277_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f1923]) ).
fof(f1927,definition,
( sQ278_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f1928,plain,
( ~ sQ278_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f1927]) ).
fof(f1930,plain,
( ~ sQ278_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f383,f1585,f1927]) ).
fof(f1931,definition,
( sQ279_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f1932,plain,
( ~ sQ279_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f1931]) ).
fof(f1935,plain,
( sQ279_spl
| sQ278_spl
| sQ277_spl
| sQ276_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f385,f1585,f1919,f1923,f1927,f1931]) ).
fof(f1936,definition,
( sQ280_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f1937,plain,
( ~ sQ280_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f1936]) ).
fof(f1940,definition,
( sQ281_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f1941,plain,
( ~ sQ281_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f1940]) ).
fof(f1944,definition,
( sQ282_spl
<=> h3(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
( ~ sQ282_spl
| h3(e12) = e20 ),
inference(component_clause,[status(thm)],[f1944]) ).
fof(f1946,plain,
( sQ282_spl
| h3(e12) != e20 ),
inference(component_clause,[status(thm)],[f1944]) ).
fof(f1947,plain,
( ~ sQ282_spl
| ~ sQ206_spl ),
inference(split_clause,[status(thm)],[f389,f1652,f1944]) ).
fof(f1953,definition,
( sQ284_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f1954,plain,
( ~ sQ284_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f1953]) ).
fof(f1957,definition,
( sQ285_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f1958,plain,
( ~ sQ285_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f1957]) ).
fof(f1959,plain,
( sQ285_spl
| h3(e11) != e21 ),
inference(component_clause,[status(thm)],[f1957]) ).
fof(f1960,plain,
( ~ sQ285_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f394,f1655,f1957]) ).
fof(f1961,definition,
( sQ286_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f1962,plain,
( ~ sQ286_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f1961]) ).
fof(f1965,definition,
( sQ287_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f1966,plain,
( ~ sQ287_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f1965]) ).
fof(f1967,plain,
( sQ287_spl
| h3(e13) != e21 ),
inference(component_clause,[status(thm)],[f1965]) ).
fof(f1968,plain,
( ~ sQ287_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f396,f1655,f1965]) ).
fof(f1969,plain,
( sQ287_spl
| sQ286_spl
| sQ285_spl
| sQ284_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f397,f1655,f1953,f1957,f1961,f1965]) ).
fof(f1970,definition,
( sQ288_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f1972,plain,
( sQ288_spl
| h3(e10) != e22 ),
inference(component_clause,[status(thm)],[f1970]) ).
fof(f1973,plain,
( ~ sQ288_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f399,f1658,f1970]) ).
fof(f1974,definition,
( sQ289_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f1975,plain,
( ~ sQ289_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f1974]) ).
fof(f1976,plain,
( sQ289_spl
| h3(e11) != e22 ),
inference(component_clause,[status(thm)],[f1974]) ).
fof(f1978,definition,
( sQ290_spl
<=> h3(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f1979,plain,
( ~ sQ290_spl
| h3(e12) = e22 ),
inference(component_clause,[status(thm)],[f1978]) ).
fof(f1982,definition,
( sQ291_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f1983,plain,
( ~ sQ291_spl
| h3(e13) = e22 ),
inference(component_clause,[status(thm)],[f1982]) ).
fof(f1984,plain,
( sQ291_spl
| h3(e13) != e22 ),
inference(component_clause,[status(thm)],[f1982]) ).
fof(f1987,definition,
( sQ292_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f1988,plain,
( ~ sQ292_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f1987]) ).
fof(f1995,definition,
( sQ294_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f1996,plain,
( ~ sQ294_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f1995]) ).
fof(f1999,definition,
( sQ295_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2001,plain,
( sQ295_spl
| h4(e13) != e20 ),
inference(component_clause,[status(thm)],[f1999]) ).
fof(f2002,plain,
( ~ sQ295_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f408,f1725,f1999]) ).
fof(f2004,definition,
( sQ296_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2005,plain,
( ~ sQ296_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f2004]) ).
fof(f2008,definition,
( sQ297_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2009,plain,
( ~ sQ297_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f2008]) ).
fof(f2012,definition,
( sQ298_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2013,plain,
( ~ sQ298_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f2012]) ).
fof(f2014,plain,
( sQ298_spl
| h4(e12) != e21 ),
inference(component_clause,[status(thm)],[f2012]) ).
fof(f2015,plain,
( ~ sQ298_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f413,f1728,f2012]) ).
fof(f2021,definition,
( sQ300_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f2022,plain,
( ~ sQ300_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f2021]) ).
fof(f2025,definition,
( sQ301_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2026,plain,
( ~ sQ301_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f2025]) ).
fof(f2027,plain,
( sQ301_spl
| h4(e11) != e22 ),
inference(component_clause,[status(thm)],[f2025]) ).
fof(f2028,plain,
( ~ sQ301_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f418,f1731,f2025]) ).
fof(f2029,definition,
( sQ302_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2030,plain,
( ~ sQ302_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f2029]) ).
fof(f2032,plain,
( ~ sQ302_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f419,f1731,f2029]) ).
fof(f2038,definition,
( sQ304_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2041,definition,
( sQ305_spl
<=> op1(e13,op1(e13,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2042,plain,
( ~ sQ305_spl
| op1(e13,op1(e13,e11)) = e11 ),
inference(component_clause,[status(thm)],[f2041]) ).
fof(f2043,plain,
( sQ305_spl
| op1(e13,op1(e13,e11)) != e11 ),
inference(component_clause,[status(thm)],[f2041]) ).
fof(f2044,plain,
( ~ sQ305_spl
| sQ304_spl
| ~ sQ236_spl ),
inference(split_clause,[status(thm)],[f425,f1750,f2038,f2041]) ).
fof(f2045,definition,
( sQ306_spl
<=> op1(op1(e13,e11),e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f2046,plain,
( ~ sQ306_spl
| op1(op1(e13,e11),e13) = e11 ),
inference(component_clause,[status(thm)],[f2045]) ).
fof(f2047,plain,
( sQ306_spl
| op1(op1(e13,e11),e13) != e11 ),
inference(component_clause,[status(thm)],[f2045]) ).
fof(f2048,plain,
( sQ306_spl
| sQ304_spl
| ~ sQ236_spl ),
inference(split_clause,[status(thm)],[f426,f1750,f2038,f2045]) ).
fof(f2049,definition,
( sQ307_spl
<=> op1(op1(e13,e11),e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2050,plain,
( ~ sQ307_spl
| op1(op1(e13,e11),e11) = e13 ),
inference(component_clause,[status(thm)],[f2049]) ).
fof(f2052,plain,
( ~ sQ307_spl
| sQ304_spl
| ~ sQ236_spl ),
inference(split_clause,[status(thm)],[f427,f1750,f2038,f2049]) ).
fof(f2053,plain,
( ~ sQ304_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f428,f1750,f2038]) ).
fof(f2055,definition,
( sQ308_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2058,definition,
( sQ309_spl
<=> op1(e11,e13) = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2059,plain,
( ~ sQ309_spl
| op1(e11,e13) = op1(e13,e11) ),
inference(component_clause,[status(thm)],[f2058]) ).
fof(f2060,plain,
( sQ309_spl
| op1(e11,e13) != op1(e13,e11) ),
inference(component_clause,[status(thm)],[f2058]) ).
fof(f2061,plain,
( sQ309_spl
| sQ308_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f433,f1767,f2055,f2058]) ).
fof(f2062,definition,
( sQ310_spl
<=> op1(e10,op1(e13,e11)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f2063,plain,
( ~ sQ310_spl
| op1(e10,op1(e13,e11)) = e10 ),
inference(component_clause,[status(thm)],[f2062]) ).
fof(f2064,plain,
( sQ310_spl
| op1(e10,op1(e13,e11)) != e10 ),
inference(component_clause,[status(thm)],[f2062]) ).
fof(f2066,definition,
( sQ311_spl
<=> op1(e11,op1(e13,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f2070,definition,
( sQ312_spl
<=> op1(e12,op1(e13,e11)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f2071,plain,
( ~ sQ312_spl
| op1(e12,op1(e13,e11)) = e12 ),
inference(component_clause,[status(thm)],[f2070]) ).
fof(f2072,plain,
( sQ312_spl
| op1(e12,op1(e13,e11)) != e12 ),
inference(component_clause,[status(thm)],[f2070]) ).
fof(f2073,plain,
( ~ sQ312_spl
| sQ308_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f436,f1767,f2055,f2070]) ).
fof(f2078,plain,
( ~ sQ308_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f438,f1767,f2055]) ).
fof(f2080,definition,
( sQ314_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f2083,definition,
( sQ315_spl
<=> op2(e23,op2(e23,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f2084,plain,
( ~ sQ315_spl
| op2(e23,op2(e23,e21)) = e21 ),
inference(component_clause,[status(thm)],[f2083]) ).
fof(f2085,plain,
( sQ315_spl
| op2(e23,op2(e23,e21)) != e21 ),
inference(component_clause,[status(thm)],[f2083]) ).
fof(f2086,plain,
( ~ sQ315_spl
| sQ314_spl
| ~ sQ246_spl ),
inference(split_clause,[status(thm)],[f443,f1792,f2080,f2083]) ).
fof(f2087,definition,
( sQ316_spl
<=> op2(op2(e23,e21),e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f2088,plain,
( ~ sQ316_spl
| op2(op2(e23,e21),e23) = e21 ),
inference(component_clause,[status(thm)],[f2087]) ).
fof(f2089,plain,
( sQ316_spl
| op2(op2(e23,e21),e23) != e21 ),
inference(component_clause,[status(thm)],[f2087]) ).
fof(f2090,plain,
( sQ316_spl
| sQ314_spl
| ~ sQ246_spl ),
inference(split_clause,[status(thm)],[f444,f1792,f2080,f2087]) ).
fof(f2091,definition,
( sQ317_spl
<=> op2(op2(e23,e21),e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f2092,plain,
( ~ sQ317_spl
| op2(op2(e23,e21),e21) = e23 ),
inference(component_clause,[status(thm)],[f2091]) ).
fof(f2093,plain,
( sQ317_spl
| op2(op2(e23,e21),e21) != e23 ),
inference(component_clause,[status(thm)],[f2091]) ).
fof(f2095,plain,
( ~ sQ314_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f446,f1792,f2080]) ).
fof(f2097,definition,
( sQ318_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f2100,definition,
( sQ319_spl
<=> op2(e21,e23) = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f2101,plain,
( ~ sQ319_spl
| op2(e21,e23) = op2(e23,e21) ),
inference(component_clause,[status(thm)],[f2100]) ).
fof(f2102,plain,
( sQ319_spl
| op2(e21,e23) != op2(e23,e21) ),
inference(component_clause,[status(thm)],[f2100]) ).
fof(f2103,plain,
( sQ319_spl
| sQ318_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f451,f1809,f2097,f2100]) ).
fof(f2104,definition,
( sQ320_spl
<=> op2(e20,op2(e23,e21)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f2105,plain,
( ~ sQ320_spl
| op2(e20,op2(e23,e21)) = e20 ),
inference(component_clause,[status(thm)],[f2104]) ).
fof(f2108,definition,
( sQ321_spl
<=> op2(e21,op2(e23,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f2110,plain,
( sQ321_spl
| op2(e21,op2(e23,e21)) != e21 ),
inference(component_clause,[status(thm)],[f2108]) ).
fof(f2112,definition,
( sQ322_spl
<=> op2(e22,op2(e23,e21)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f2113,plain,
( ~ sQ322_spl
| op2(e22,op2(e23,e21)) = e22 ),
inference(component_clause,[status(thm)],[f2112]) ).
fof(f2114,plain,
( sQ322_spl
| op2(e22,op2(e23,e21)) != e22 ),
inference(component_clause,[status(thm)],[f2112]) ).
fof(f2115,plain,
( ~ sQ322_spl
| sQ318_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f454,f1809,f2097,f2112]) ).
fof(f2116,definition,
( sQ323_spl
<=> op2(e23,op2(e23,e21)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f2117,plain,
( ~ sQ323_spl
| op2(e23,op2(e23,e21)) = e23 ),
inference(component_clause,[status(thm)],[f2116]) ).
fof(f2118,plain,
( sQ323_spl
| op2(e23,op2(e23,e21)) != e23 ),
inference(component_clause,[status(thm)],[f2116]) ).
fof(f2120,plain,
( ~ sQ318_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f456,f1809,f2097]) ).
fof(f2122,definition,
( sQ324_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f2125,definition,
( sQ325_spl
<=> op1(e13,op1(e13,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f2126,plain,
( ~ sQ325_spl
| op1(e13,op1(e13,e10)) = e10 ),
inference(component_clause,[status(thm)],[f2125]) ).
fof(f2127,plain,
( sQ325_spl
| op1(e13,op1(e13,e10)) != e10 ),
inference(component_clause,[status(thm)],[f2125]) ).
fof(f2128,plain,
( ~ sQ325_spl
| sQ324_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f461,f2038,f2122,f2125]) ).
fof(f2129,definition,
( sQ326_spl
<=> op1(op1(e13,e10),e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2130,plain,
( ~ sQ326_spl
| op1(op1(e13,e10),e13) = e10 ),
inference(component_clause,[status(thm)],[f2129]) ).
fof(f2132,plain,
( sQ326_spl
| sQ324_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f462,f2038,f2122,f2129]) ).
fof(f2133,definition,
( sQ327_spl
<=> op1(op1(e13,e10),e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2134,plain,
( ~ sQ327_spl
| op1(op1(e13,e10),e10) = e13 ),
inference(component_clause,[status(thm)],[f2133]) ).
fof(f2135,plain,
( sQ327_spl
| op1(op1(e13,e10),e10) != e13 ),
inference(component_clause,[status(thm)],[f2133]) ).
fof(f2137,plain,
( ~ sQ324_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f464,f2038,f2122]) ).
fof(f2139,definition,
( sQ328_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2142,definition,
( sQ329_spl
<=> op1(e10,e13) = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f2143,plain,
( ~ sQ329_spl
| op1(e10,e13) = op1(e13,e10) ),
inference(component_clause,[status(thm)],[f2142]) ).
fof(f2144,plain,
( sQ329_spl
| op1(e10,e13) != op1(e13,e10) ),
inference(component_clause,[status(thm)],[f2142]) ).
fof(f2145,plain,
( sQ329_spl
| sQ328_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f469,f2055,f2139,f2142]) ).
fof(f2146,definition,
( sQ330_spl
<=> op1(e10,op1(e13,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f2147,plain,
( ~ sQ330_spl
| op1(e10,op1(e13,e10)) = e10 ),
inference(component_clause,[status(thm)],[f2146]) ).
fof(f2150,definition,
( sQ331_spl
<=> op1(e11,op1(e13,e10)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f2151,plain,
( ~ sQ331_spl
| op1(e11,op1(e13,e10)) = e11 ),
inference(component_clause,[status(thm)],[f2150]) ).
fof(f2153,plain,
( ~ sQ331_spl
| sQ328_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f471,f2055,f2139,f2150]) ).
fof(f2154,definition,
( sQ332_spl
<=> op1(e12,op1(e13,e10)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f2155,plain,
( ~ sQ332_spl
| op1(e12,op1(e13,e10)) = e12 ),
inference(component_clause,[status(thm)],[f2154]) ).
fof(f2158,definition,
( sQ333_spl
<=> op1(e13,op1(e13,e10)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f2159,plain,
( ~ sQ333_spl
| op1(e13,op1(e13,e10)) = e13 ),
inference(component_clause,[status(thm)],[f2158]) ).
fof(f2162,plain,
( ~ sQ328_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f474,f2055,f2139]) ).
fof(f2164,definition,
( sQ334_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f2167,definition,
( sQ335_spl
<=> op2(e23,op2(e23,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f2168,plain,
( ~ sQ335_spl
| op2(e23,op2(e23,e20)) = e20 ),
inference(component_clause,[status(thm)],[f2167]) ).
fof(f2169,plain,
( sQ335_spl
| op2(e23,op2(e23,e20)) != e20 ),
inference(component_clause,[status(thm)],[f2167]) ).
fof(f2170,plain,
( ~ sQ335_spl
| sQ334_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f479,f2080,f2164,f2167]) ).
fof(f2171,definition,
( sQ336_spl
<=> op2(op2(e23,e20),e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f2172,plain,
( ~ sQ336_spl
| op2(op2(e23,e20),e23) = e20 ),
inference(component_clause,[status(thm)],[f2171]) ).
fof(f2173,plain,
( sQ336_spl
| op2(op2(e23,e20),e23) != e20 ),
inference(component_clause,[status(thm)],[f2171]) ).
fof(f2174,plain,
( sQ336_spl
| sQ334_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f480,f2080,f2164,f2171]) ).
fof(f2175,definition,
( sQ337_spl
<=> op2(op2(e23,e20),e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f2176,plain,
( ~ sQ337_spl
| op2(op2(e23,e20),e20) = e23 ),
inference(component_clause,[status(thm)],[f2175]) ).
fof(f2177,plain,
( sQ337_spl
| op2(op2(e23,e20),e20) != e23 ),
inference(component_clause,[status(thm)],[f2175]) ).
fof(f2178,plain,
( ~ sQ337_spl
| sQ334_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f481,f2080,f2164,f2175]) ).
fof(f2179,plain,
( ~ sQ334_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f482,f2080,f2164]) ).
fof(f2181,definition,
( sQ338_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f2184,definition,
( sQ339_spl
<=> op2(e20,e23) = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f2185,plain,
( ~ sQ339_spl
| op2(e20,e23) = op2(e23,e20) ),
inference(component_clause,[status(thm)],[f2184]) ).
fof(f2186,plain,
( sQ339_spl
| op2(e20,e23) != op2(e23,e20) ),
inference(component_clause,[status(thm)],[f2184]) ).
fof(f2187,plain,
( sQ339_spl
| sQ338_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f487,f2097,f2181,f2184]) ).
fof(f2192,definition,
( sQ341_spl
<=> op2(e21,op2(e23,e20)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f2193,plain,
( ~ sQ341_spl
| op2(e21,op2(e23,e20)) = e21 ),
inference(component_clause,[status(thm)],[f2192]) ).
fof(f2194,plain,
( sQ341_spl
| op2(e21,op2(e23,e20)) != e21 ),
inference(component_clause,[status(thm)],[f2192]) ).
fof(f2195,plain,
( ~ sQ341_spl
| sQ338_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f489,f2097,f2181,f2192]) ).
fof(f2200,definition,
( sQ343_spl
<=> op2(e23,op2(e23,e20)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f2201,plain,
( ~ sQ343_spl
| op2(e23,op2(e23,e20)) = e23 ),
inference(component_clause,[status(thm)],[f2200]) ).
fof(f2204,plain,
( ~ sQ338_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f492,f2097,f2181]) ).
fof(f2206,definition,
( sQ344_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f2209,definition,
( sQ345_spl
<=> op1(e12,op1(e12,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f2210,plain,
( ~ sQ345_spl
| op1(e12,op1(e12,e13)) = e13 ),
inference(component_clause,[status(thm)],[f2209]) ).
fof(f2211,plain,
( sQ345_spl
| op1(e12,op1(e12,e13)) != e13 ),
inference(component_clause,[status(thm)],[f2209]) ).
fof(f2212,plain,
( ~ sQ345_spl
| sQ344_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f497,f2122,f2206,f2209]) ).
fof(f2213,definition,
( sQ346_spl
<=> op1(op1(e12,e13),e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f2214,plain,
( ~ sQ346_spl
| op1(op1(e12,e13),e12) = e13 ),
inference(component_clause,[status(thm)],[f2213]) ).
fof(f2215,plain,
( sQ346_spl
| op1(op1(e12,e13),e12) != e13 ),
inference(component_clause,[status(thm)],[f2213]) ).
fof(f2216,plain,
( sQ346_spl
| sQ344_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f498,f2122,f2206,f2213]) ).
fof(f2217,definition,
( sQ347_spl
<=> op1(op1(e12,e13),e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f2218,plain,
( ~ sQ347_spl
| op1(op1(e12,e13),e13) = e12 ),
inference(component_clause,[status(thm)],[f2217]) ).
fof(f2219,plain,
( sQ347_spl
| op1(op1(e12,e13),e13) != e12 ),
inference(component_clause,[status(thm)],[f2217]) ).
fof(f2220,plain,
( ~ sQ347_spl
| sQ344_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f499,f2122,f2206,f2217]) ).
fof(f2221,plain,
( ~ sQ344_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f500,f2122,f2206]) ).
fof(f2223,definition,
( sQ348_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f2226,plain,
( sQ241_spl
| sQ348_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f505,f2139,f2223,f1770]) ).
fof(f2227,definition,
( sQ349_spl
<=> op1(e10,op1(e12,e13)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f2228,plain,
( ~ sQ349_spl
| op1(e10,op1(e12,e13)) = e10 ),
inference(component_clause,[status(thm)],[f2227]) ).
fof(f2229,plain,
( sQ349_spl
| op1(e10,op1(e12,e13)) != e10 ),
inference(component_clause,[status(thm)],[f2227]) ).
fof(f2230,plain,
( ~ sQ349_spl
| sQ348_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f506,f2139,f2223,f2227]) ).
fof(f2231,definition,
( sQ350_spl
<=> op1(e11,op1(e12,e13)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f2232,plain,
( ~ sQ350_spl
| op1(e11,op1(e12,e13)) = e11 ),
inference(component_clause,[status(thm)],[f2231]) ).
fof(f2233,plain,
( sQ350_spl
| op1(e11,op1(e12,e13)) != e11 ),
inference(component_clause,[status(thm)],[f2231]) ).
fof(f2235,definition,
( sQ351_spl
<=> op1(e12,op1(e12,e13)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f2236,plain,
( ~ sQ351_spl
| op1(e12,op1(e12,e13)) = e12 ),
inference(component_clause,[status(thm)],[f2235]) ).
fof(f2237,plain,
( sQ351_spl
| op1(e12,op1(e12,e13)) != e12 ),
inference(component_clause,[status(thm)],[f2235]) ).
fof(f2243,plain,
( ~ sQ348_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f510,f2139,f2223]) ).
fof(f2245,definition,
( sQ353_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f2248,definition,
( sQ354_spl
<=> op2(e22,op2(e22,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f2249,plain,
( ~ sQ354_spl
| op2(e22,op2(e22,e23)) = e23 ),
inference(component_clause,[status(thm)],[f2248]) ).
fof(f2250,plain,
( sQ354_spl
| op2(e22,op2(e22,e23)) != e23 ),
inference(component_clause,[status(thm)],[f2248]) ).
fof(f2251,plain,
( ~ sQ354_spl
| sQ353_spl
| ~ sQ334_spl ),
inference(split_clause,[status(thm)],[f515,f2164,f2245,f2248]) ).
fof(f2252,definition,
( sQ355_spl
<=> op2(op2(e22,e23),e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f2253,plain,
( ~ sQ355_spl
| op2(op2(e22,e23),e22) = e23 ),
inference(component_clause,[status(thm)],[f2252]) ).
fof(f2254,plain,
( sQ355_spl
| op2(op2(e22,e23),e22) != e23 ),
inference(component_clause,[status(thm)],[f2252]) ).
fof(f2255,plain,
( sQ355_spl
| sQ353_spl
| ~ sQ334_spl ),
inference(split_clause,[status(thm)],[f516,f2164,f2245,f2252]) ).
fof(f2256,definition,
( sQ356_spl
<=> op2(op2(e22,e23),e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f2257,plain,
( ~ sQ356_spl
| op2(op2(e22,e23),e23) = e22 ),
inference(component_clause,[status(thm)],[f2256]) ).
fof(f2258,plain,
( sQ356_spl
| op2(op2(e22,e23),e23) != e22 ),
inference(component_clause,[status(thm)],[f2256]) ).
fof(f2259,plain,
( ~ sQ356_spl
| sQ353_spl
| ~ sQ334_spl ),
inference(split_clause,[status(thm)],[f517,f2164,f2245,f2256]) ).
fof(f2260,plain,
( ~ sQ353_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f518,f2164,f2245]) ).
fof(f2262,definition,
( sQ357_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f2265,plain,
( sQ251_spl
| sQ357_spl
| ~ sQ338_spl ),
inference(split_clause,[status(thm)],[f523,f2181,f2262,f1812]) ).
fof(f2266,definition,
( sQ358_spl
<=> op2(e20,op2(e22,e23)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f2267,plain,
( ~ sQ358_spl
| op2(e20,op2(e22,e23)) = e20 ),
inference(component_clause,[status(thm)],[f2266]) ).
fof(f2268,plain,
( sQ358_spl
| op2(e20,op2(e22,e23)) != e20 ),
inference(component_clause,[status(thm)],[f2266]) ).
fof(f2269,plain,
( ~ sQ358_spl
| sQ357_spl
| ~ sQ338_spl ),
inference(split_clause,[status(thm)],[f524,f2181,f2262,f2266]) ).
fof(f2270,definition,
( sQ359_spl
<=> op2(e21,op2(e22,e23)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f2271,plain,
( ~ sQ359_spl
| op2(e21,op2(e22,e23)) = e21 ),
inference(component_clause,[status(thm)],[f2270]) ).
fof(f2272,plain,
( sQ359_spl
| op2(e21,op2(e22,e23)) != e21 ),
inference(component_clause,[status(thm)],[f2270]) ).
fof(f2274,definition,
( sQ360_spl
<=> op2(e22,op2(e22,e23)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f2275,plain,
( ~ sQ360_spl
| op2(e22,op2(e22,e23)) = e22 ),
inference(component_clause,[status(thm)],[f2274]) ).
fof(f2276,plain,
( sQ360_spl
| op2(e22,op2(e22,e23)) != e22 ),
inference(component_clause,[status(thm)],[f2274]) ).
fof(f2277,plain,
( ~ sQ360_spl
| sQ357_spl
| ~ sQ338_spl ),
inference(split_clause,[status(thm)],[f526,f2181,f2262,f2274]) ).
fof(f2278,definition,
( sQ361_spl
<=> op2(e23,op2(e22,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f2279,plain,
( ~ sQ361_spl
| op2(e23,op2(e22,e23)) = e23 ),
inference(component_clause,[status(thm)],[f2278]) ).
fof(f2280,plain,
( sQ361_spl
| op2(e23,op2(e22,e23)) != e23 ),
inference(component_clause,[status(thm)],[f2278]) ).
fof(f2282,plain,
( ~ sQ357_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f528,f2181,f2262]) ).
fof(f2284,definition,
( sQ362_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f2287,definition,
( sQ363_spl
<=> op1(e12,op1(e12,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f2288,plain,
( ~ sQ363_spl
| op1(e12,op1(e12,e12)) = e12 ),
inference(component_clause,[status(thm)],[f2287]) ).
fof(f2289,plain,
( sQ363_spl
| op1(e12,op1(e12,e12)) != e12 ),
inference(component_clause,[status(thm)],[f2287]) ).
fof(f2290,plain,
( ~ sQ363_spl
| sQ362_spl
| ~ sQ344_spl ),
inference(split_clause,[status(thm)],[f533,f2206,f2284,f2287]) ).
fof(f2291,definition,
( sQ364_spl
<=> op1(op1(e12,e12),e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f2292,plain,
( ~ sQ364_spl
| op1(op1(e12,e12),e12) = e12 ),
inference(component_clause,[status(thm)],[f2291]) ).
fof(f2293,plain,
( sQ364_spl
| op1(op1(e12,e12),e12) != e12 ),
inference(component_clause,[status(thm)],[f2291]) ).
fof(f2294,plain,
( sQ364_spl
| sQ362_spl
| ~ sQ344_spl ),
inference(split_clause,[status(thm)],[f534,f2206,f2284,f2291]) ).
fof(f2295,plain,
( ~ sQ364_spl
| sQ362_spl
| ~ sQ344_spl ),
inference(split_clause,[status(thm)],[f535,f2206,f2284,f2291]) ).
fof(f2296,plain,
( ~ sQ362_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f536,f2206,f2284]) ).
fof(f2298,definition,
( sQ365_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f2301,definition,
( sQ366_spl
<=> op1(e12,e12) = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f2303,plain,
( sQ366_spl
| op1(e12,e12) != op1(e12,e12) ),
inference(component_clause,[status(thm)],[f2301]) ).
fof(f2304,plain,
( sQ366_spl
| sQ365_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f541,f2223,f2298,f2301]) ).
fof(f2305,definition,
( sQ367_spl
<=> op1(e10,op1(e12,e12)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f2306,plain,
( ~ sQ367_spl
| op1(e10,op1(e12,e12)) = e10 ),
inference(component_clause,[status(thm)],[f2305]) ).
fof(f2307,plain,
( sQ367_spl
| op1(e10,op1(e12,e12)) != e10 ),
inference(component_clause,[status(thm)],[f2305]) ).
fof(f2308,plain,
( ~ sQ367_spl
| sQ365_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f542,f2223,f2298,f2305]) ).
fof(f2309,definition,
( sQ368_spl
<=> op1(e11,op1(e12,e12)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f2312,plain,
( ~ sQ368_spl
| sQ365_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f543,f2223,f2298,f2309]) ).
fof(f2313,plain,
( ~ sQ363_spl
| sQ365_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f544,f2223,f2298,f2287]) ).
fof(f2314,definition,
( sQ369_spl
<=> op1(e13,op1(e12,e12)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f2315,plain,
( ~ sQ369_spl
| op1(e13,op1(e12,e12)) = e13 ),
inference(component_clause,[status(thm)],[f2314]) ).
fof(f2316,plain,
( sQ369_spl
| op1(e13,op1(e12,e12)) != e13 ),
inference(component_clause,[status(thm)],[f2314]) ).
fof(f2317,plain,
( ~ sQ369_spl
| sQ365_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f545,f2223,f2298,f2314]) ).
fof(f2318,plain,
( ~ sQ365_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f546,f2223,f2298]) ).
fof(f2320,definition,
( sQ370_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f2323,definition,
( sQ371_spl
<=> op2(e22,op2(e22,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f2324,plain,
( ~ sQ371_spl
| op2(e22,op2(e22,e22)) = e22 ),
inference(component_clause,[status(thm)],[f2323]) ).
fof(f2325,plain,
( sQ371_spl
| op2(e22,op2(e22,e22)) != e22 ),
inference(component_clause,[status(thm)],[f2323]) ).
fof(f2326,plain,
( ~ sQ371_spl
| sQ370_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f551,f2245,f2320,f2323]) ).
fof(f2327,definition,
( sQ372_spl
<=> op2(op2(e22,e22),e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f2328,plain,
( ~ sQ372_spl
| op2(op2(e22,e22),e22) = e22 ),
inference(component_clause,[status(thm)],[f2327]) ).
fof(f2329,plain,
( sQ372_spl
| op2(op2(e22,e22),e22) != e22 ),
inference(component_clause,[status(thm)],[f2327]) ).
fof(f2330,plain,
( sQ372_spl
| sQ370_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f552,f2245,f2320,f2327]) ).
fof(f2331,plain,
( ~ sQ372_spl
| sQ370_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f553,f2245,f2320,f2327]) ).
fof(f2332,plain,
( ~ sQ370_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f554,f2245,f2320]) ).
fof(f2334,definition,
( sQ373_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f2341,definition,
( sQ375_spl
<=> op2(e20,op2(e22,e22)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f2342,plain,
( ~ sQ375_spl
| op2(e20,op2(e22,e22)) = e20 ),
inference(component_clause,[status(thm)],[f2341]) ).
fof(f2343,plain,
( sQ375_spl
| op2(e20,op2(e22,e22)) != e20 ),
inference(component_clause,[status(thm)],[f2341]) ).
fof(f2344,plain,
( ~ sQ375_spl
| sQ373_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f560,f2262,f2334,f2341]) ).
fof(f2345,definition,
( sQ376_spl
<=> op2(e21,op2(e22,e22)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f2346,plain,
( ~ sQ376_spl
| op2(e21,op2(e22,e22)) = e21 ),
inference(component_clause,[status(thm)],[f2345]) ).
fof(f2347,plain,
( sQ376_spl
| op2(e21,op2(e22,e22)) != e21 ),
inference(component_clause,[status(thm)],[f2345]) ).
fof(f2348,plain,
( ~ sQ376_spl
| sQ373_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f561,f2262,f2334,f2345]) ).
fof(f2349,plain,
( ~ sQ371_spl
| sQ373_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f562,f2262,f2334,f2323]) ).
fof(f2350,definition,
( sQ377_spl
<=> op2(e23,op2(e22,e22)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f2351,plain,
( ~ sQ377_spl
| op2(e23,op2(e22,e22)) = e23 ),
inference(component_clause,[status(thm)],[f2350]) ).
fof(f2352,plain,
( sQ377_spl
| op2(e23,op2(e22,e22)) != e23 ),
inference(component_clause,[status(thm)],[f2350]) ).
fof(f2353,plain,
( ~ sQ377_spl
| sQ373_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f563,f2262,f2334,f2350]) ).
fof(f2354,plain,
( ~ sQ373_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f564,f2262,f2334]) ).
fof(f2356,definition,
( sQ378_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f2359,definition,
( sQ379_spl
<=> op1(e12,op1(e12,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f2360,plain,
( ~ sQ379_spl
| op1(e12,op1(e12,e11)) = e11 ),
inference(component_clause,[status(thm)],[f2359]) ).
fof(f2361,plain,
( sQ379_spl
| op1(e12,op1(e12,e11)) != e11 ),
inference(component_clause,[status(thm)],[f2359]) ).
fof(f2362,plain,
( ~ sQ379_spl
| sQ378_spl
| ~ sQ362_spl ),
inference(split_clause,[status(thm)],[f569,f2284,f2356,f2359]) ).
fof(f2363,definition,
( sQ380_spl
<=> op1(op1(e12,e11),e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f2364,plain,
( ~ sQ380_spl
| op1(op1(e12,e11),e12) = e11 ),
inference(component_clause,[status(thm)],[f2363]) ).
fof(f2365,plain,
( sQ380_spl
| op1(op1(e12,e11),e12) != e11 ),
inference(component_clause,[status(thm)],[f2363]) ).
fof(f2366,plain,
( sQ380_spl
| sQ378_spl
| ~ sQ362_spl ),
inference(split_clause,[status(thm)],[f570,f2284,f2356,f2363]) ).
fof(f2367,definition,
( sQ381_spl
<=> op1(op1(e12,e11),e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f2368,plain,
( ~ sQ381_spl
| op1(op1(e12,e11),e11) = e12 ),
inference(component_clause,[status(thm)],[f2367]) ).
fof(f2371,plain,
( ~ sQ378_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f572,f2284,f2356]) ).
fof(f2373,definition,
( sQ382_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f2376,definition,
( sQ383_spl
<=> op1(e11,e12) = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f2377,plain,
( ~ sQ383_spl
| op1(e11,e12) = op1(e12,e11) ),
inference(component_clause,[status(thm)],[f2376]) ).
fof(f2378,plain,
( sQ383_spl
| op1(e11,e12) != op1(e12,e11) ),
inference(component_clause,[status(thm)],[f2376]) ).
fof(f2379,plain,
( sQ383_spl
| sQ382_spl
| ~ sQ365_spl ),
inference(split_clause,[status(thm)],[f577,f2298,f2373,f2376]) ).
fof(f2380,definition,
( sQ384_spl
<=> op1(e10,op1(e12,e11)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f2381,plain,
( ~ sQ384_spl
| op1(e10,op1(e12,e11)) = e10 ),
inference(component_clause,[status(thm)],[f2380]) ).
fof(f2384,definition,
( sQ385_spl
<=> op1(e11,op1(e12,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f2385,plain,
( ~ sQ385_spl
| op1(e11,op1(e12,e11)) = e11 ),
inference(component_clause,[status(thm)],[f2384]) ).
fof(f2386,plain,
( sQ385_spl
| op1(e11,op1(e12,e11)) != e11 ),
inference(component_clause,[status(thm)],[f2384]) ).
fof(f2387,plain,
( ~ sQ385_spl
| sQ382_spl
| ~ sQ365_spl ),
inference(split_clause,[status(thm)],[f579,f2298,f2373,f2384]) ).
fof(f2388,definition,
( sQ386_spl
<=> op1(e12,op1(e12,e11)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f2389,plain,
( ~ sQ386_spl
| op1(e12,op1(e12,e11)) = e12 ),
inference(component_clause,[status(thm)],[f2388]) ).
fof(f2392,definition,
( sQ387_spl
<=> op1(e13,op1(e12,e11)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f2393,plain,
( ~ sQ387_spl
| op1(e13,op1(e12,e11)) = e13 ),
inference(component_clause,[status(thm)],[f2392]) ).
fof(f2394,plain,
( sQ387_spl
| op1(e13,op1(e12,e11)) != e13 ),
inference(component_clause,[status(thm)],[f2392]) ).
fof(f2396,plain,
( ~ sQ382_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f582,f2298,f2373]) ).
fof(f2398,definition,
( sQ388_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f2401,definition,
( sQ389_spl
<=> op2(e22,op2(e22,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f2402,plain,
( ~ sQ389_spl
| op2(e22,op2(e22,e21)) = e21 ),
inference(component_clause,[status(thm)],[f2401]) ).
fof(f2403,plain,
( sQ389_spl
| op2(e22,op2(e22,e21)) != e21 ),
inference(component_clause,[status(thm)],[f2401]) ).
fof(f2404,plain,
( ~ sQ389_spl
| sQ388_spl
| ~ sQ370_spl ),
inference(split_clause,[status(thm)],[f587,f2320,f2398,f2401]) ).
fof(f2405,definition,
( sQ390_spl
<=> op2(op2(e22,e21),e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f2406,plain,
( ~ sQ390_spl
| op2(op2(e22,e21),e22) = e21 ),
inference(component_clause,[status(thm)],[f2405]) ).
fof(f2407,plain,
( sQ390_spl
| op2(op2(e22,e21),e22) != e21 ),
inference(component_clause,[status(thm)],[f2405]) ).
fof(f2409,definition,
( sQ391_spl
<=> op2(op2(e22,e21),e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f2410,plain,
( ~ sQ391_spl
| op2(op2(e22,e21),e21) = e22 ),
inference(component_clause,[status(thm)],[f2409]) ).
fof(f2411,plain,
( sQ391_spl
| op2(op2(e22,e21),e21) != e22 ),
inference(component_clause,[status(thm)],[f2409]) ).
fof(f2412,plain,
( ~ sQ391_spl
| sQ388_spl
| ~ sQ370_spl ),
inference(split_clause,[status(thm)],[f589,f2320,f2398,f2409]) ).
fof(f2413,plain,
( ~ sQ388_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f590,f2320,f2398]) ).
fof(f2414,plain,
( sQ391_spl
| ~ sQ390_spl
| sQ389_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f591,f2320,f2401,f2405,f2409]) ).
fof(f2415,definition,
( sQ392_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f2418,definition,
( sQ393_spl
<=> op2(e21,e22) = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f2419,plain,
( ~ sQ393_spl
| op2(e21,e22) = op2(e22,e21) ),
inference(component_clause,[status(thm)],[f2418]) ).
fof(f2420,plain,
( sQ393_spl
| op2(e21,e22) != op2(e22,e21) ),
inference(component_clause,[status(thm)],[f2418]) ).
fof(f2421,plain,
( sQ393_spl
| sQ392_spl
| ~ sQ373_spl ),
inference(split_clause,[status(thm)],[f595,f2334,f2415,f2418]) ).
fof(f2422,definition,
( sQ394_spl
<=> op2(e20,op2(e22,e21)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f2423,plain,
( ~ sQ394_spl
| op2(e20,op2(e22,e21)) = e20 ),
inference(component_clause,[status(thm)],[f2422]) ).
fof(f2426,definition,
( sQ395_spl
<=> op2(e21,op2(e22,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f2427,plain,
( ~ sQ395_spl
| op2(e21,op2(e22,e21)) = e21 ),
inference(component_clause,[status(thm)],[f2426]) ).
fof(f2428,plain,
( sQ395_spl
| op2(e21,op2(e22,e21)) != e21 ),
inference(component_clause,[status(thm)],[f2426]) ).
fof(f2429,plain,
( ~ sQ395_spl
| sQ392_spl
| ~ sQ373_spl ),
inference(split_clause,[status(thm)],[f597,f2334,f2415,f2426]) ).
fof(f2430,definition,
( sQ396_spl
<=> op2(e22,op2(e22,e21)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f2431,plain,
( ~ sQ396_spl
| op2(e22,op2(e22,e21)) = e22 ),
inference(component_clause,[status(thm)],[f2430]) ).
fof(f2434,definition,
( sQ397_spl
<=> op2(e23,op2(e22,e21)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f2435,plain,
( ~ sQ397_spl
| op2(e23,op2(e22,e21)) = e23 ),
inference(component_clause,[status(thm)],[f2434]) ).
fof(f2436,plain,
( sQ397_spl
| op2(e23,op2(e22,e21)) != e23 ),
inference(component_clause,[status(thm)],[f2434]) ).
fof(f2438,plain,
( ~ sQ392_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f600,f2334,f2415]) ).
fof(f2440,definition,
( sQ398_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f2443,definition,
( sQ399_spl
<=> op1(e12,op1(e12,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f2444,plain,
( ~ sQ399_spl
| op1(e12,op1(e12,e10)) = e10 ),
inference(component_clause,[status(thm)],[f2443]) ).
fof(f2445,plain,
( sQ399_spl
| op1(e12,op1(e12,e10)) != e10 ),
inference(component_clause,[status(thm)],[f2443]) ).
fof(f2446,plain,
( ~ sQ399_spl
| sQ398_spl
| ~ sQ378_spl ),
inference(split_clause,[status(thm)],[f605,f2356,f2440,f2443]) ).
fof(f2447,definition,
( sQ400_spl
<=> op1(op1(e12,e10),e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f2448,plain,
( ~ sQ400_spl
| op1(op1(e12,e10),e12) = e10 ),
inference(component_clause,[status(thm)],[f2447]) ).
fof(f2449,plain,
( sQ400_spl
| op1(op1(e12,e10),e12) != e10 ),
inference(component_clause,[status(thm)],[f2447]) ).
fof(f2450,plain,
( sQ400_spl
| sQ398_spl
| ~ sQ378_spl ),
inference(split_clause,[status(thm)],[f606,f2356,f2440,f2447]) ).
fof(f2451,definition,
( sQ401_spl
<=> op1(op1(e12,e10),e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f2452,plain,
( ~ sQ401_spl
| op1(op1(e12,e10),e10) = e12 ),
inference(component_clause,[status(thm)],[f2451]) ).
fof(f2453,plain,
( sQ401_spl
| op1(op1(e12,e10),e10) != e12 ),
inference(component_clause,[status(thm)],[f2451]) ).
fof(f2455,plain,
( ~ sQ398_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f608,f2356,f2440]) ).
fof(f2457,definition,
( sQ402_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f2460,definition,
( sQ403_spl
<=> op1(e10,e12) = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f2461,plain,
( ~ sQ403_spl
| op1(e10,e12) = op1(e12,e10) ),
inference(component_clause,[status(thm)],[f2460]) ).
fof(f2462,plain,
( sQ403_spl
| op1(e10,e12) != op1(e12,e10) ),
inference(component_clause,[status(thm)],[f2460]) ).
fof(f2463,plain,
( sQ403_spl
| sQ402_spl
| ~ sQ382_spl ),
inference(split_clause,[status(thm)],[f613,f2373,f2457,f2460]) ).
fof(f2464,definition,
( sQ404_spl
<=> op1(e10,op1(e12,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f2467,plain,
( ~ sQ404_spl
| sQ402_spl
| ~ sQ382_spl ),
inference(split_clause,[status(thm)],[f614,f2373,f2457,f2464]) ).
fof(f2468,definition,
( sQ405_spl
<=> op1(e11,op1(e12,e10)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f2471,plain,
( ~ sQ405_spl
| sQ402_spl
| ~ sQ382_spl ),
inference(split_clause,[status(thm)],[f615,f2373,f2457,f2468]) ).
fof(f2472,definition,
( sQ406_spl
<=> op1(e12,op1(e12,e10)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f2473,plain,
( ~ sQ406_spl
| op1(e12,op1(e12,e10)) = e12 ),
inference(component_clause,[status(thm)],[f2472]) ).
fof(f2474,plain,
( sQ406_spl
| op1(e12,op1(e12,e10)) != e12 ),
inference(component_clause,[status(thm)],[f2472]) ).
fof(f2475,plain,
( ~ sQ406_spl
| sQ402_spl
| ~ sQ382_spl ),
inference(split_clause,[status(thm)],[f616,f2373,f2457,f2472]) ).
fof(f2476,definition,
( sQ407_spl
<=> op1(e13,op1(e12,e10)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f2479,plain,
( ~ sQ407_spl
| sQ402_spl
| ~ sQ382_spl ),
inference(split_clause,[status(thm)],[f617,f2373,f2457,f2476]) ).
fof(f2480,plain,
( ~ sQ402_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f618,f2373,f2457]) ).
fof(f2482,definition,
( sQ408_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f2485,definition,
( sQ409_spl
<=> op2(e22,op2(e22,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f2486,plain,
( ~ sQ409_spl
| op2(e22,op2(e22,e20)) = e20 ),
inference(component_clause,[status(thm)],[f2485]) ).
fof(f2487,plain,
( sQ409_spl
| op2(e22,op2(e22,e20)) != e20 ),
inference(component_clause,[status(thm)],[f2485]) ).
fof(f2488,plain,
( ~ sQ409_spl
| sQ408_spl
| ~ sQ388_spl ),
inference(split_clause,[status(thm)],[f623,f2398,f2482,f2485]) ).
fof(f2489,definition,
( sQ410_spl
<=> op2(op2(e22,e20),e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f2490,plain,
( ~ sQ410_spl
| op2(op2(e22,e20),e22) = e20 ),
inference(component_clause,[status(thm)],[f2489]) ).
fof(f2491,plain,
( sQ410_spl
| op2(op2(e22,e20),e22) != e20 ),
inference(component_clause,[status(thm)],[f2489]) ).
fof(f2492,plain,
( sQ410_spl
| sQ408_spl
| ~ sQ388_spl ),
inference(split_clause,[status(thm)],[f624,f2398,f2482,f2489]) ).
fof(f2493,definition,
( sQ411_spl
<=> op2(op2(e22,e20),e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f2494,plain,
( ~ sQ411_spl
| op2(op2(e22,e20),e20) = e22 ),
inference(component_clause,[status(thm)],[f2493]) ).
fof(f2495,plain,
( sQ411_spl
| op2(op2(e22,e20),e20) != e22 ),
inference(component_clause,[status(thm)],[f2493]) ).
fof(f2497,plain,
( ~ sQ408_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f626,f2398,f2482]) ).
fof(f2499,definition,
( sQ412_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f2502,definition,
( sQ413_spl
<=> op2(e20,e22) = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f2503,plain,
( ~ sQ413_spl
| op2(e20,e22) = op2(e22,e20) ),
inference(component_clause,[status(thm)],[f2502]) ).
fof(f2504,plain,
( sQ413_spl
| op2(e20,e22) != op2(e22,e20) ),
inference(component_clause,[status(thm)],[f2502]) ).
fof(f2505,plain,
( sQ413_spl
| sQ412_spl
| ~ sQ392_spl ),
inference(split_clause,[status(thm)],[f631,f2415,f2499,f2502]) ).
fof(f2506,definition,
( sQ414_spl
<=> op2(e20,op2(e22,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f2508,plain,
( sQ414_spl
| op2(e20,op2(e22,e20)) != e20 ),
inference(component_clause,[status(thm)],[f2506]) ).
fof(f2510,definition,
( sQ415_spl
<=> op2(e21,op2(e22,e20)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f2511,plain,
( ~ sQ415_spl
| op2(e21,op2(e22,e20)) = e21 ),
inference(component_clause,[status(thm)],[f2510]) ).
fof(f2512,plain,
( sQ415_spl
| op2(e21,op2(e22,e20)) != e21 ),
inference(component_clause,[status(thm)],[f2510]) ).
fof(f2514,definition,
( sQ416_spl
<=> op2(e22,op2(e22,e20)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f2515,plain,
( ~ sQ416_spl
| op2(e22,op2(e22,e20)) = e22 ),
inference(component_clause,[status(thm)],[f2514]) ).
fof(f2516,plain,
( sQ416_spl
| op2(e22,op2(e22,e20)) != e22 ),
inference(component_clause,[status(thm)],[f2514]) ).
fof(f2517,plain,
( ~ sQ416_spl
| sQ412_spl
| ~ sQ392_spl ),
inference(split_clause,[status(thm)],[f634,f2415,f2499,f2514]) ).
fof(f2522,plain,
( ~ sQ412_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f636,f2415,f2499]) ).
fof(f2524,definition,
( sQ418_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f2527,definition,
( sQ419_spl
<=> op1(e11,op1(e11,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f2528,plain,
( ~ sQ419_spl
| op1(e11,op1(e11,e13)) = e13 ),
inference(component_clause,[status(thm)],[f2527]) ).
fof(f2529,plain,
( sQ419_spl
| op1(e11,op1(e11,e13)) != e13 ),
inference(component_clause,[status(thm)],[f2527]) ).
fof(f2530,plain,
( ~ sQ419_spl
| sQ418_spl
| ~ sQ398_spl ),
inference(split_clause,[status(thm)],[f641,f2440,f2524,f2527]) ).
fof(f2531,definition,
( sQ420_spl
<=> op1(op1(e11,e13),e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f2532,plain,
( ~ sQ420_spl
| op1(op1(e11,e13),e11) = e13 ),
inference(component_clause,[status(thm)],[f2531]) ).
fof(f2533,plain,
( sQ420_spl
| op1(op1(e11,e13),e11) != e13 ),
inference(component_clause,[status(thm)],[f2531]) ).
fof(f2534,plain,
( sQ420_spl
| sQ418_spl
| ~ sQ398_spl ),
inference(split_clause,[status(thm)],[f642,f2440,f2524,f2531]) ).
fof(f2539,plain,
( ~ sQ418_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f644,f2440,f2524]) ).
fof(f2541,definition,
( sQ422_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f2544,plain,
( sQ309_spl
| sQ422_spl
| ~ sQ402_spl ),
inference(split_clause,[status(thm)],[f649,f2457,f2541,f2058]) ).
fof(f2545,definition,
( sQ423_spl
<=> op1(e10,op1(e11,e13)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f2548,plain,
( ~ sQ423_spl
| sQ422_spl
| ~ sQ402_spl ),
inference(split_clause,[status(thm)],[f650,f2457,f2541,f2545]) ).
fof(f2549,definition,
( sQ424_spl
<=> op1(e11,op1(e11,e13)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f2550,plain,
( ~ sQ424_spl
| op1(e11,op1(e11,e13)) = e11 ),
inference(component_clause,[status(thm)],[f2549]) ).
fof(f2551,plain,
( sQ424_spl
| op1(e11,op1(e11,e13)) != e11 ),
inference(component_clause,[status(thm)],[f2549]) ).
fof(f2552,plain,
( ~ sQ424_spl
| sQ422_spl
| ~ sQ402_spl ),
inference(split_clause,[status(thm)],[f651,f2457,f2541,f2549]) ).
fof(f2553,definition,
( sQ425_spl
<=> op1(e12,op1(e11,e13)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f2555,plain,
( sQ425_spl
| op1(e12,op1(e11,e13)) != e12 ),
inference(component_clause,[status(thm)],[f2553]) ).
fof(f2556,plain,
( ~ sQ425_spl
| sQ422_spl
| ~ sQ402_spl ),
inference(split_clause,[status(thm)],[f652,f2457,f2541,f2553]) ).
fof(f2557,definition,
( sQ426_spl
<=> op1(e13,op1(e11,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f2560,plain,
( ~ sQ426_spl
| sQ422_spl
| ~ sQ402_spl ),
inference(split_clause,[status(thm)],[f653,f2457,f2541,f2557]) ).
fof(f2561,plain,
( ~ sQ422_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f654,f2457,f2541]) ).
fof(f2563,definition,
( sQ427_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f2566,definition,
( sQ428_spl
<=> op2(e21,op2(e21,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f2567,plain,
( ~ sQ428_spl
| op2(e21,op2(e21,e23)) = e23 ),
inference(component_clause,[status(thm)],[f2566]) ).
fof(f2568,plain,
( sQ428_spl
| op2(e21,op2(e21,e23)) != e23 ),
inference(component_clause,[status(thm)],[f2566]) ).
fof(f2569,plain,
( ~ sQ428_spl
| sQ427_spl
| ~ sQ408_spl ),
inference(split_clause,[status(thm)],[f659,f2482,f2563,f2566]) ).
fof(f2570,definition,
( sQ429_spl
<=> op2(op2(e21,e23),e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f2571,plain,
( ~ sQ429_spl
| op2(op2(e21,e23),e21) = e23 ),
inference(component_clause,[status(thm)],[f2570]) ).
fof(f2573,plain,
( sQ429_spl
| sQ427_spl
| ~ sQ408_spl ),
inference(split_clause,[status(thm)],[f660,f2482,f2563,f2570]) ).
fof(f2578,plain,
( ~ sQ427_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f662,f2482,f2563]) ).
fof(f2580,definition,
( sQ431_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition]) ).
fof(f2583,plain,
( sQ319_spl
| sQ431_spl
| ~ sQ412_spl ),
inference(split_clause,[status(thm)],[f667,f2499,f2580,f2100]) ).
fof(f2584,definition,
( sQ432_spl
<=> op2(e20,op2(e21,e23)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f2585,plain,
( ~ sQ432_spl
| op2(e20,op2(e21,e23)) = e20 ),
inference(component_clause,[status(thm)],[f2584]) ).
fof(f2586,plain,
( sQ432_spl
| op2(e20,op2(e21,e23)) != e20 ),
inference(component_clause,[status(thm)],[f2584]) ).
fof(f2588,definition,
( sQ433_spl
<=> op2(e21,op2(e21,e23)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f2589,plain,
( ~ sQ433_spl
| op2(e21,op2(e21,e23)) = e21 ),
inference(component_clause,[status(thm)],[f2588]) ).
fof(f2590,plain,
( sQ433_spl
| op2(e21,op2(e21,e23)) != e21 ),
inference(component_clause,[status(thm)],[f2588]) ).
fof(f2592,definition,
( sQ434_spl
<=> op2(e22,op2(e21,e23)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f2593,plain,
( ~ sQ434_spl
| op2(e22,op2(e21,e23)) = e22 ),
inference(component_clause,[status(thm)],[f2592]) ).
fof(f2594,plain,
( sQ434_spl
| op2(e22,op2(e21,e23)) != e22 ),
inference(component_clause,[status(thm)],[f2592]) ).
fof(f2595,plain,
( ~ sQ434_spl
| sQ431_spl
| ~ sQ412_spl ),
inference(split_clause,[status(thm)],[f670,f2499,f2580,f2592]) ).
fof(f2596,definition,
( sQ435_spl
<=> op2(e23,op2(e21,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f2597,plain,
( ~ sQ435_spl
| op2(e23,op2(e21,e23)) = e23 ),
inference(component_clause,[status(thm)],[f2596]) ).
fof(f2598,plain,
( sQ435_spl
| op2(e23,op2(e21,e23)) != e23 ),
inference(component_clause,[status(thm)],[f2596]) ).
fof(f2600,plain,
( ~ sQ431_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f672,f2499,f2580]) ).
fof(f2601,plain,
( sQ435_spl
| sQ434_spl
| sQ433_spl
| sQ432_spl
| ~ sQ319_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f673,f2499,f2100,f2584,f2588,f2592,f2596]) ).
fof(f2602,definition,
( sQ436_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f2605,definition,
( sQ437_spl
<=> op1(e11,op1(e11,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f2606,plain,
( ~ sQ437_spl
| op1(e11,op1(e11,e12)) = e12 ),
inference(component_clause,[status(thm)],[f2605]) ).
fof(f2607,plain,
( sQ437_spl
| op1(e11,op1(e11,e12)) != e12 ),
inference(component_clause,[status(thm)],[f2605]) ).
fof(f2608,plain,
( ~ sQ437_spl
| sQ436_spl
| ~ sQ418_spl ),
inference(split_clause,[status(thm)],[f677,f2524,f2602,f2605]) ).
fof(f2609,definition,
( sQ438_spl
<=> op1(op1(e11,e12),e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f2610,plain,
( ~ sQ438_spl
| op1(op1(e11,e12),e11) = e12 ),
inference(component_clause,[status(thm)],[f2609]) ).
fof(f2611,plain,
( sQ438_spl
| op1(op1(e11,e12),e11) != e12 ),
inference(component_clause,[status(thm)],[f2609]) ).
fof(f2612,plain,
( sQ438_spl
| sQ436_spl
| ~ sQ418_spl ),
inference(split_clause,[status(thm)],[f678,f2524,f2602,f2609]) ).
fof(f2613,definition,
( sQ439_spl
<=> op1(op1(e11,e12),e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f2614,plain,
( ~ sQ439_spl
| op1(op1(e11,e12),e12) = e11 ),
inference(component_clause,[status(thm)],[f2613]) ).
fof(f2615,plain,
( sQ439_spl
| op1(op1(e11,e12),e12) != e11 ),
inference(component_clause,[status(thm)],[f2613]) ).
fof(f2617,plain,
( ~ sQ436_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f680,f2524,f2602]) ).
fof(f2618,plain,
( sQ439_spl
| ~ sQ438_spl
| sQ437_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f681,f2524,f2605,f2609,f2613]) ).
fof(f2619,definition,
( sQ440_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f2622,plain,
( sQ383_spl
| sQ440_spl
| ~ sQ422_spl ),
inference(split_clause,[status(thm)],[f685,f2541,f2619,f2376]) ).
fof(f2623,definition,
( sQ441_spl
<=> op1(e10,op1(e11,e12)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f2625,plain,
( sQ441_spl
| op1(e10,op1(e11,e12)) != e10 ),
inference(component_clause,[status(thm)],[f2623]) ).
fof(f2627,definition,
( sQ442_spl
<=> op1(e11,op1(e11,e12)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f2628,plain,
( ~ sQ442_spl
| op1(e11,op1(e11,e12)) = e11 ),
inference(component_clause,[status(thm)],[f2627]) ).
fof(f2629,plain,
( sQ442_spl
| op1(e11,op1(e11,e12)) != e11 ),
inference(component_clause,[status(thm)],[f2627]) ).
fof(f2630,plain,
( ~ sQ442_spl
| sQ440_spl
| ~ sQ422_spl ),
inference(split_clause,[status(thm)],[f687,f2541,f2619,f2627]) ).
fof(f2631,definition,
( sQ443_spl
<=> op1(e12,op1(e11,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f2632,plain,
( ~ sQ443_spl
| op1(e12,op1(e11,e12)) = e12 ),
inference(component_clause,[status(thm)],[f2631]) ).
fof(f2635,definition,
( sQ444_spl
<=> op1(e13,op1(e11,e12)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f2639,plain,
( ~ sQ440_spl
| sQ422_spl ),
inference(split_clause,[status(thm)],[f690,f2541,f2619]) ).
fof(f2641,definition,
( sQ445_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f2644,definition,
( sQ446_spl
<=> op2(e21,op2(e21,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f2645,plain,
( ~ sQ446_spl
| op2(e21,op2(e21,e22)) = e22 ),
inference(component_clause,[status(thm)],[f2644]) ).
fof(f2646,plain,
( sQ446_spl
| op2(e21,op2(e21,e22)) != e22 ),
inference(component_clause,[status(thm)],[f2644]) ).
fof(f2647,plain,
( ~ sQ446_spl
| sQ445_spl
| ~ sQ427_spl ),
inference(split_clause,[status(thm)],[f695,f2563,f2641,f2644]) ).
fof(f2648,definition,
( sQ447_spl
<=> op2(op2(e21,e22),e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f2649,plain,
( ~ sQ447_spl
| op2(op2(e21,e22),e21) = e22 ),
inference(component_clause,[status(thm)],[f2648]) ).
fof(f2650,plain,
( sQ447_spl
| op2(op2(e21,e22),e21) != e22 ),
inference(component_clause,[status(thm)],[f2648]) ).
fof(f2651,plain,
( sQ447_spl
| sQ445_spl
| ~ sQ427_spl ),
inference(split_clause,[status(thm)],[f696,f2563,f2641,f2648]) ).
fof(f2652,definition,
( sQ448_spl
<=> op2(op2(e21,e22),e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f2655,plain,
( ~ sQ448_spl
| sQ445_spl
| ~ sQ427_spl ),
inference(split_clause,[status(thm)],[f697,f2563,f2641,f2652]) ).
fof(f2656,plain,
( ~ sQ445_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f698,f2563,f2641]) ).
fof(f2658,definition,
( sQ449_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f2661,plain,
( sQ393_spl
| sQ449_spl
| ~ sQ431_spl ),
inference(split_clause,[status(thm)],[f703,f2580,f2658,f2418]) ).
fof(f2662,definition,
( sQ450_spl
<=> op2(e20,op2(e21,e22)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f2663,plain,
( ~ sQ450_spl
| op2(e20,op2(e21,e22)) = e20 ),
inference(component_clause,[status(thm)],[f2662]) ).
fof(f2664,plain,
( sQ450_spl
| op2(e20,op2(e21,e22)) != e20 ),
inference(component_clause,[status(thm)],[f2662]) ).
fof(f2666,definition,
( sQ451_spl
<=> op2(e21,op2(e21,e22)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).
fof(f2667,plain,
( ~ sQ451_spl
| op2(e21,op2(e21,e22)) = e21 ),
inference(component_clause,[status(thm)],[f2666]) ).
fof(f2668,plain,
( sQ451_spl
| op2(e21,op2(e21,e22)) != e21 ),
inference(component_clause,[status(thm)],[f2666]) ).
fof(f2669,plain,
( ~ sQ451_spl
| sQ449_spl
| ~ sQ431_spl ),
inference(split_clause,[status(thm)],[f705,f2580,f2658,f2666]) ).
fof(f2670,definition,
( sQ452_spl
<=> op2(e22,op2(e21,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f2671,plain,
( ~ sQ452_spl
| op2(e22,op2(e21,e22)) = e22 ),
inference(component_clause,[status(thm)],[f2670]) ).
fof(f2674,definition,
( sQ453_spl
<=> op2(e23,op2(e21,e22)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f2677,plain,
( ~ sQ453_spl
| sQ449_spl
| ~ sQ431_spl ),
inference(split_clause,[status(thm)],[f707,f2580,f2658,f2674]) ).
fof(f2678,plain,
( ~ sQ449_spl
| sQ431_spl ),
inference(split_clause,[status(thm)],[f708,f2580,f2658]) ).
fof(f2680,definition,
( sQ454_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f2683,definition,
( sQ455_spl
<=> op1(e11,op1(e11,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f2685,plain,
( sQ455_spl
| op1(e11,op1(e11,e11)) != e11 ),
inference(component_clause,[status(thm)],[f2683]) ).
fof(f2686,plain,
( ~ sQ455_spl
| sQ454_spl
| ~ sQ436_spl ),
inference(split_clause,[status(thm)],[f713,f2602,f2680,f2683]) ).
fof(f2687,definition,
( sQ456_spl
<=> op1(op1(e11,e11),e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f2688,plain,
( ~ sQ456_spl
| op1(op1(e11,e11),e11) = e11 ),
inference(component_clause,[status(thm)],[f2687]) ).
fof(f2689,plain,
( sQ456_spl
| op1(op1(e11,e11),e11) != e11 ),
inference(component_clause,[status(thm)],[f2687]) ).
fof(f2690,plain,
( sQ456_spl
| sQ454_spl
| ~ sQ436_spl ),
inference(split_clause,[status(thm)],[f714,f2602,f2680,f2687]) ).
fof(f2691,plain,
( ~ sQ456_spl
| sQ454_spl
| ~ sQ436_spl ),
inference(split_clause,[status(thm)],[f715,f2602,f2680,f2687]) ).
fof(f2692,plain,
( ~ sQ454_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f716,f2602,f2680]) ).
fof(f2694,definition,
( sQ457_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f2701,definition,
( sQ459_spl
<=> op1(e10,op1(e11,e11)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f2702,plain,
( ~ sQ459_spl
| op1(e10,op1(e11,e11)) = e10 ),
inference(component_clause,[status(thm)],[f2701]) ).
fof(f2705,plain,
( ~ sQ455_spl
| sQ457_spl
| ~ sQ440_spl ),
inference(split_clause,[status(thm)],[f723,f2619,f2694,f2683]) ).
fof(f2706,definition,
( sQ460_spl
<=> op1(e12,op1(e11,e11)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ460_spl])],[split_symbol_definition]) ).
fof(f2707,plain,
( ~ sQ460_spl
| op1(e12,op1(e11,e11)) = e12 ),
inference(component_clause,[status(thm)],[f2706]) ).
fof(f2708,plain,
( sQ460_spl
| op1(e12,op1(e11,e11)) != e12 ),
inference(component_clause,[status(thm)],[f2706]) ).
fof(f2709,plain,
( ~ sQ460_spl
| sQ457_spl
| ~ sQ440_spl ),
inference(split_clause,[status(thm)],[f724,f2619,f2694,f2706]) ).
fof(f2710,definition,
( sQ461_spl
<=> op1(e13,op1(e11,e11)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f2711,plain,
( ~ sQ461_spl
| op1(e13,op1(e11,e11)) = e13 ),
inference(component_clause,[status(thm)],[f2710]) ).
fof(f2712,plain,
( sQ461_spl
| op1(e13,op1(e11,e11)) != e13 ),
inference(component_clause,[status(thm)],[f2710]) ).
fof(f2713,plain,
( ~ sQ461_spl
| sQ457_spl
| ~ sQ440_spl ),
inference(split_clause,[status(thm)],[f725,f2619,f2694,f2710]) ).
fof(f2714,plain,
( ~ sQ457_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f726,f2619,f2694]) ).
fof(f2716,definition,
( sQ462_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f2719,definition,
( sQ463_spl
<=> op2(e21,op2(e21,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).
fof(f2720,plain,
( ~ sQ463_spl
| op2(e21,op2(e21,e21)) = e21 ),
inference(component_clause,[status(thm)],[f2719]) ).
fof(f2721,plain,
( sQ463_spl
| op2(e21,op2(e21,e21)) != e21 ),
inference(component_clause,[status(thm)],[f2719]) ).
fof(f2722,plain,
( ~ sQ463_spl
| sQ462_spl
| ~ sQ445_spl ),
inference(split_clause,[status(thm)],[f731,f2641,f2716,f2719]) ).
fof(f2723,definition,
( sQ464_spl
<=> op2(op2(e21,e21),e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).
fof(f2724,plain,
( ~ sQ464_spl
| op2(op2(e21,e21),e21) = e21 ),
inference(component_clause,[status(thm)],[f2723]) ).
fof(f2725,plain,
( sQ464_spl
| op2(op2(e21,e21),e21) != e21 ),
inference(component_clause,[status(thm)],[f2723]) ).
fof(f2726,plain,
( sQ464_spl
| sQ462_spl
| ~ sQ445_spl ),
inference(split_clause,[status(thm)],[f732,f2641,f2716,f2723]) ).
fof(f2727,plain,
( ~ sQ464_spl
| sQ462_spl
| ~ sQ445_spl ),
inference(split_clause,[status(thm)],[f733,f2641,f2716,f2723]) ).
fof(f2728,plain,
( ~ sQ462_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f734,f2641,f2716]) ).
fof(f2730,definition,
( sQ465_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f2733,definition,
( sQ466_spl
<=> op2(e21,e21) = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f2736,plain,
( sQ466_spl
| sQ465_spl
| ~ sQ449_spl ),
inference(split_clause,[status(thm)],[f739,f2658,f2730,f2733]) ).
fof(f2737,definition,
( sQ467_spl
<=> op2(e20,op2(e21,e21)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f2740,plain,
( ~ sQ467_spl
| sQ465_spl
| ~ sQ449_spl ),
inference(split_clause,[status(thm)],[f740,f2658,f2730,f2737]) ).
fof(f2741,plain,
( ~ sQ463_spl
| sQ465_spl
| ~ sQ449_spl ),
inference(split_clause,[status(thm)],[f741,f2658,f2730,f2719]) ).
fof(f2742,definition,
( sQ468_spl
<=> op2(e22,op2(e21,e21)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f2744,plain,
( sQ468_spl
| op2(e22,op2(e21,e21)) != e22 ),
inference(component_clause,[status(thm)],[f2742]) ).
fof(f2745,plain,
( ~ sQ468_spl
| sQ465_spl
| ~ sQ449_spl ),
inference(split_clause,[status(thm)],[f742,f2658,f2730,f2742]) ).
fof(f2746,definition,
( sQ469_spl
<=> op2(e23,op2(e21,e21)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f2747,plain,
( ~ sQ469_spl
| op2(e23,op2(e21,e21)) = e23 ),
inference(component_clause,[status(thm)],[f2746]) ).
fof(f2749,plain,
( ~ sQ469_spl
| sQ465_spl
| ~ sQ449_spl ),
inference(split_clause,[status(thm)],[f743,f2658,f2730,f2746]) ).
fof(f2750,plain,
( ~ sQ465_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f744,f2658,f2730]) ).
fof(f2752,definition,
( sQ470_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).
fof(f2755,definition,
( sQ471_spl
<=> op1(e11,op1(e11,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f2756,plain,
( ~ sQ471_spl
| op1(e11,op1(e11,e10)) = e10 ),
inference(component_clause,[status(thm)],[f2755]) ).
fof(f2757,plain,
( sQ471_spl
| op1(e11,op1(e11,e10)) != e10 ),
inference(component_clause,[status(thm)],[f2755]) ).
fof(f2758,plain,
( ~ sQ471_spl
| sQ470_spl
| ~ sQ454_spl ),
inference(split_clause,[status(thm)],[f749,f2680,f2752,f2755]) ).
fof(f2759,definition,
( sQ472_spl
<=> op1(op1(e11,e10),e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ472_spl])],[split_symbol_definition]) ).
fof(f2760,plain,
( ~ sQ472_spl
| op1(op1(e11,e10),e11) = e10 ),
inference(component_clause,[status(thm)],[f2759]) ).
fof(f2761,plain,
( sQ472_spl
| op1(op1(e11,e10),e11) != e10 ),
inference(component_clause,[status(thm)],[f2759]) ).
fof(f2762,plain,
( sQ472_spl
| sQ470_spl
| ~ sQ454_spl ),
inference(split_clause,[status(thm)],[f750,f2680,f2752,f2759]) ).
fof(f2763,definition,
( sQ473_spl
<=> op1(op1(e11,e10),e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f2764,plain,
( ~ sQ473_spl
| op1(op1(e11,e10),e10) = e11 ),
inference(component_clause,[status(thm)],[f2763]) ).
fof(f2765,plain,
( sQ473_spl
| op1(op1(e11,e10),e10) != e11 ),
inference(component_clause,[status(thm)],[f2763]) ).
fof(f2766,plain,
( ~ sQ473_spl
| sQ470_spl
| ~ sQ454_spl ),
inference(split_clause,[status(thm)],[f751,f2680,f2752,f2763]) ).
fof(f2767,plain,
( ~ sQ470_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f752,f2680,f2752]) ).
fof(f2769,definition,
( sQ474_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition]) ).
fof(f2772,definition,
( sQ475_spl
<=> op1(e10,e11) = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition]) ).
fof(f2773,plain,
( ~ sQ475_spl
| op1(e10,e11) = op1(e11,e10) ),
inference(component_clause,[status(thm)],[f2772]) ).
fof(f2774,plain,
( sQ475_spl
| op1(e10,e11) != op1(e11,e10) ),
inference(component_clause,[status(thm)],[f2772]) ).
fof(f2775,plain,
( sQ475_spl
| sQ474_spl
| ~ sQ457_spl ),
inference(split_clause,[status(thm)],[f757,f2694,f2769,f2772]) ).
fof(f2776,definition,
( sQ476_spl
<=> op1(e10,op1(e11,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).
fof(f2777,plain,
( ~ sQ476_spl
| op1(e10,op1(e11,e10)) = e10 ),
inference(component_clause,[status(thm)],[f2776]) ).
fof(f2778,plain,
( sQ476_spl
| op1(e10,op1(e11,e10)) != e10 ),
inference(component_clause,[status(thm)],[f2776]) ).
fof(f2779,plain,
( ~ sQ476_spl
| sQ474_spl
| ~ sQ457_spl ),
inference(split_clause,[status(thm)],[f758,f2694,f2769,f2776]) ).
fof(f2780,definition,
( sQ477_spl
<=> op1(e11,op1(e11,e10)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition]) ).
fof(f2781,plain,
( ~ sQ477_spl
| op1(e11,op1(e11,e10)) = e11 ),
inference(component_clause,[status(thm)],[f2780]) ).
fof(f2782,plain,
( sQ477_spl
| op1(e11,op1(e11,e10)) != e11 ),
inference(component_clause,[status(thm)],[f2780]) ).
fof(f2784,definition,
( sQ478_spl
<=> op1(e12,op1(e11,e10)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ478_spl])],[split_symbol_definition]) ).
fof(f2786,plain,
( sQ478_spl
| op1(e12,op1(e11,e10)) != e12 ),
inference(component_clause,[status(thm)],[f2784]) ).
fof(f2788,definition,
( sQ479_spl
<=> op1(e13,op1(e11,e10)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).
fof(f2790,plain,
( sQ479_spl
| op1(e13,op1(e11,e10)) != e13 ),
inference(component_clause,[status(thm)],[f2788]) ).
fof(f2792,plain,
( ~ sQ474_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f762,f2694,f2769]) ).
fof(f2794,definition,
( sQ480_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition]) ).
fof(f2797,definition,
( sQ481_spl
<=> op2(e21,op2(e21,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).
fof(f2798,plain,
( ~ sQ481_spl
| op2(e21,op2(e21,e20)) = e20 ),
inference(component_clause,[status(thm)],[f2797]) ).
fof(f2799,plain,
( sQ481_spl
| op2(e21,op2(e21,e20)) != e20 ),
inference(component_clause,[status(thm)],[f2797]) ).
fof(f2800,plain,
( ~ sQ481_spl
| sQ480_spl
| ~ sQ462_spl ),
inference(split_clause,[status(thm)],[f767,f2716,f2794,f2797]) ).
fof(f2801,definition,
( sQ482_spl
<=> op2(op2(e21,e20),e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition]) ).
fof(f2802,plain,
( ~ sQ482_spl
| op2(op2(e21,e20),e21) = e20 ),
inference(component_clause,[status(thm)],[f2801]) ).
fof(f2803,plain,
( sQ482_spl
| op2(op2(e21,e20),e21) != e20 ),
inference(component_clause,[status(thm)],[f2801]) ).
fof(f2804,plain,
( sQ482_spl
| sQ480_spl
| ~ sQ462_spl ),
inference(split_clause,[status(thm)],[f768,f2716,f2794,f2801]) ).
fof(f2805,definition,
( sQ483_spl
<=> op2(op2(e21,e20),e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition]) ).
fof(f2806,plain,
( ~ sQ483_spl
| op2(op2(e21,e20),e20) = e21 ),
inference(component_clause,[status(thm)],[f2805]) ).
fof(f2807,plain,
( sQ483_spl
| op2(op2(e21,e20),e20) != e21 ),
inference(component_clause,[status(thm)],[f2805]) ).
fof(f2808,plain,
( ~ sQ483_spl
| sQ480_spl
| ~ sQ462_spl ),
inference(split_clause,[status(thm)],[f769,f2716,f2794,f2805]) ).
fof(f2809,plain,
( ~ sQ480_spl
| sQ462_spl ),
inference(split_clause,[status(thm)],[f770,f2716,f2794]) ).
fof(f2811,definition,
( sQ484_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).
fof(f2814,definition,
( sQ485_spl
<=> op2(e20,e21) = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).
fof(f2815,plain,
( ~ sQ485_spl
| op2(e20,e21) = op2(e21,e20) ),
inference(component_clause,[status(thm)],[f2814]) ).
fof(f2816,plain,
( sQ485_spl
| op2(e20,e21) != op2(e21,e20) ),
inference(component_clause,[status(thm)],[f2814]) ).
fof(f2817,plain,
( sQ485_spl
| sQ484_spl
| ~ sQ465_spl ),
inference(split_clause,[status(thm)],[f775,f2730,f2811,f2814]) ).
fof(f2818,definition,
( sQ486_spl
<=> op2(e20,op2(e21,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).
fof(f2820,plain,
( sQ486_spl
| op2(e20,op2(e21,e20)) != e20 ),
inference(component_clause,[status(thm)],[f2818]) ).
fof(f2821,plain,
( ~ sQ486_spl
| sQ484_spl
| ~ sQ465_spl ),
inference(split_clause,[status(thm)],[f776,f2730,f2811,f2818]) ).
fof(f2826,definition,
( sQ488_spl
<=> op2(e22,op2(e21,e20)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition]) ).
fof(f2827,plain,
( ~ sQ488_spl
| op2(e22,op2(e21,e20)) = e22 ),
inference(component_clause,[status(thm)],[f2826]) ).
fof(f2828,plain,
( sQ488_spl
| op2(e22,op2(e21,e20)) != e22 ),
inference(component_clause,[status(thm)],[f2826]) ).
fof(f2830,definition,
( sQ489_spl
<=> op2(e23,op2(e21,e20)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).
fof(f2831,plain,
( ~ sQ489_spl
| op2(e23,op2(e21,e20)) = e23 ),
inference(component_clause,[status(thm)],[f2830]) ).
fof(f2832,plain,
( sQ489_spl
| op2(e23,op2(e21,e20)) != e23 ),
inference(component_clause,[status(thm)],[f2830]) ).
fof(f2834,plain,
( ~ sQ484_spl
| sQ465_spl ),
inference(split_clause,[status(thm)],[f780,f2730,f2811]) ).
fof(f2836,definition,
( sQ490_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).
fof(f2839,definition,
( sQ491_spl
<=> op1(e10,op1(e10,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).
fof(f2840,plain,
( ~ sQ491_spl
| op1(e10,op1(e10,e13)) = e13 ),
inference(component_clause,[status(thm)],[f2839]) ).
fof(f2843,definition,
( sQ492_spl
<=> op1(op1(e10,e13),e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition]) ).
fof(f2844,plain,
( ~ sQ492_spl
| op1(op1(e10,e13),e10) = e13 ),
inference(component_clause,[status(thm)],[f2843]) ).
fof(f2846,plain,
( sQ492_spl
| sQ490_spl
| ~ sQ470_spl ),
inference(split_clause,[status(thm)],[f786,f2752,f2836,f2843]) ).
fof(f2847,definition,
( sQ493_spl
<=> op1(op1(e10,e13),e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition]) ).
fof(f2848,plain,
( ~ sQ493_spl
| op1(op1(e10,e13),e13) = e10 ),
inference(component_clause,[status(thm)],[f2847]) ).
fof(f2849,plain,
( sQ493_spl
| op1(op1(e10,e13),e13) != e10 ),
inference(component_clause,[status(thm)],[f2847]) ).
fof(f2851,plain,
( ~ sQ490_spl
| sQ470_spl ),
inference(split_clause,[status(thm)],[f788,f2752,f2836]) ).
fof(f2853,definition,
( sQ494_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition]) ).
fof(f2856,plain,
( sQ329_spl
| sQ494_spl
| ~ sQ474_spl ),
inference(split_clause,[status(thm)],[f793,f2769,f2853,f2142]) ).
fof(f2857,definition,
( sQ495_spl
<=> op1(e10,op1(e10,e13)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).
fof(f2858,plain,
( ~ sQ495_spl
| op1(e10,op1(e10,e13)) = e10 ),
inference(component_clause,[status(thm)],[f2857]) ).
fof(f2861,definition,
( sQ496_spl
<=> op1(e11,op1(e10,e13)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).
fof(f2862,plain,
( ~ sQ496_spl
| op1(e11,op1(e10,e13)) = e11 ),
inference(component_clause,[status(thm)],[f2861]) ).
fof(f2863,plain,
( sQ496_spl
| op1(e11,op1(e10,e13)) != e11 ),
inference(component_clause,[status(thm)],[f2861]) ).
fof(f2864,plain,
( ~ sQ496_spl
| sQ494_spl
| ~ sQ474_spl ),
inference(split_clause,[status(thm)],[f795,f2769,f2853,f2861]) ).
fof(f2865,definition,
( sQ497_spl
<=> op1(e12,op1(e10,e13)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).
fof(f2866,plain,
( ~ sQ497_spl
| op1(e12,op1(e10,e13)) = e12 ),
inference(component_clause,[status(thm)],[f2865]) ).
fof(f2867,plain,
( sQ497_spl
| op1(e12,op1(e10,e13)) != e12 ),
inference(component_clause,[status(thm)],[f2865]) ).
fof(f2869,definition,
( sQ498_spl
<=> op1(e13,op1(e10,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ498_spl])],[split_symbol_definition]) ).
fof(f2870,plain,
( ~ sQ498_spl
| op1(e13,op1(e10,e13)) = e13 ),
inference(component_clause,[status(thm)],[f2869]) ).
fof(f2871,plain,
( sQ498_spl
| op1(e13,op1(e10,e13)) != e13 ),
inference(component_clause,[status(thm)],[f2869]) ).
fof(f2873,plain,
( ~ sQ494_spl
| sQ474_spl ),
inference(split_clause,[status(thm)],[f798,f2769,f2853]) ).
fof(f2874,plain,
( sQ498_spl
| sQ497_spl
| sQ496_spl
| sQ495_spl
| ~ sQ329_spl
| sQ474_spl ),
inference(split_clause,[status(thm)],[f799,f2769,f2142,f2857,f2861,f2865,f2869]) ).
fof(f2875,definition,
( sQ499_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition]) ).
fof(f2882,definition,
( sQ501_spl
<=> op2(op2(e20,e23),e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f2883,plain,
( ~ sQ501_spl
| op2(op2(e20,e23),e20) = e23 ),
inference(component_clause,[status(thm)],[f2882]) ).
fof(f2885,plain,
( sQ501_spl
| sQ499_spl
| ~ sQ480_spl ),
inference(split_clause,[status(thm)],[f804,f2794,f2875,f2882]) ).
fof(f2890,plain,
( ~ sQ499_spl
| sQ480_spl ),
inference(split_clause,[status(thm)],[f806,f2794,f2875]) ).
fof(f2892,definition,
( sQ503_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).
fof(f2895,plain,
( sQ339_spl
| sQ503_spl
| ~ sQ484_spl ),
inference(split_clause,[status(thm)],[f811,f2811,f2892,f2184]) ).
fof(f2896,definition,
( sQ504_spl
<=> op2(e20,op2(e20,e23)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition]) ).
fof(f2897,plain,
( ~ sQ504_spl
| op2(e20,op2(e20,e23)) = e20 ),
inference(component_clause,[status(thm)],[f2896]) ).
fof(f2900,definition,
( sQ505_spl
<=> op2(e21,op2(e20,e23)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ505_spl])],[split_symbol_definition]) ).
fof(f2901,plain,
( ~ sQ505_spl
| op2(e21,op2(e20,e23)) = e21 ),
inference(component_clause,[status(thm)],[f2900]) ).
fof(f2902,plain,
( sQ505_spl
| op2(e21,op2(e20,e23)) != e21 ),
inference(component_clause,[status(thm)],[f2900]) ).
fof(f2903,plain,
( ~ sQ505_spl
| sQ503_spl
| ~ sQ484_spl ),
inference(split_clause,[status(thm)],[f813,f2811,f2892,f2900]) ).
fof(f2904,definition,
( sQ506_spl
<=> op2(e22,op2(e20,e23)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition]) ).
fof(f2905,plain,
( ~ sQ506_spl
| op2(e22,op2(e20,e23)) = e22 ),
inference(component_clause,[status(thm)],[f2904]) ).
fof(f2908,definition,
( sQ507_spl
<=> op2(e23,op2(e20,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ507_spl])],[split_symbol_definition]) ).
fof(f2909,plain,
( ~ sQ507_spl
| op2(e23,op2(e20,e23)) = e23 ),
inference(component_clause,[status(thm)],[f2908]) ).
fof(f2910,plain,
( sQ507_spl
| op2(e23,op2(e20,e23)) != e23 ),
inference(component_clause,[status(thm)],[f2908]) ).
fof(f2912,plain,
( ~ sQ503_spl
| sQ484_spl ),
inference(split_clause,[status(thm)],[f816,f2811,f2892]) ).
fof(f2913,plain,
( sQ507_spl
| sQ506_spl
| sQ505_spl
| sQ504_spl
| ~ sQ339_spl
| sQ484_spl ),
inference(split_clause,[status(thm)],[f817,f2811,f2184,f2896,f2900,f2904,f2908]) ).
fof(f2914,definition,
( sQ508_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ508_spl])],[split_symbol_definition]) ).
fof(f2917,definition,
( sQ509_spl
<=> op1(e10,op1(e10,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f2918,plain,
( ~ sQ509_spl
| op1(e10,op1(e10,e12)) = e12 ),
inference(component_clause,[status(thm)],[f2917]) ).
fof(f2921,definition,
( sQ510_spl
<=> op1(op1(e10,e12),e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f2922,plain,
( ~ sQ510_spl
| op1(op1(e10,e12),e10) = e12 ),
inference(component_clause,[status(thm)],[f2921]) ).
fof(f2924,plain,
( sQ510_spl
| sQ508_spl
| ~ sQ490_spl ),
inference(split_clause,[status(thm)],[f822,f2836,f2914,f2921]) ).
fof(f2925,definition,
( sQ511_spl
<=> op1(op1(e10,e12),e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f2926,plain,
( ~ sQ511_spl
| op1(op1(e10,e12),e12) = e10 ),
inference(component_clause,[status(thm)],[f2925]) ).
fof(f2927,plain,
( sQ511_spl
| op1(op1(e10,e12),e12) != e10 ),
inference(component_clause,[status(thm)],[f2925]) ).
fof(f2929,plain,
( ~ sQ508_spl
| sQ490_spl ),
inference(split_clause,[status(thm)],[f824,f2836,f2914]) ).
fof(f2931,definition,
( sQ512_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f2934,plain,
( sQ403_spl
| sQ512_spl
| ~ sQ494_spl ),
inference(split_clause,[status(thm)],[f829,f2853,f2931,f2460]) ).
fof(f2935,definition,
( sQ513_spl
<=> op1(e10,op1(e10,e12)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ513_spl])],[split_symbol_definition]) ).
fof(f2936,plain,
( ~ sQ513_spl
| op1(e10,op1(e10,e12)) = e10 ),
inference(component_clause,[status(thm)],[f2935]) ).
fof(f2939,definition,
( sQ514_spl
<=> op1(e11,op1(e10,e12)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f2940,plain,
( ~ sQ514_spl
| op1(e11,op1(e10,e12)) = e11 ),
inference(component_clause,[status(thm)],[f2939]) ).
fof(f2941,plain,
( sQ514_spl
| op1(e11,op1(e10,e12)) != e11 ),
inference(component_clause,[status(thm)],[f2939]) ).
fof(f2942,plain,
( ~ sQ514_spl
| sQ512_spl
| ~ sQ494_spl ),
inference(split_clause,[status(thm)],[f831,f2853,f2931,f2939]) ).
fof(f2943,definition,
( sQ515_spl
<=> op1(e12,op1(e10,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ515_spl])],[split_symbol_definition]) ).
fof(f2944,plain,
( ~ sQ515_spl
| op1(e12,op1(e10,e12)) = e12 ),
inference(component_clause,[status(thm)],[f2943]) ).
fof(f2945,plain,
( sQ515_spl
| op1(e12,op1(e10,e12)) != e12 ),
inference(component_clause,[status(thm)],[f2943]) ).
fof(f2947,definition,
( sQ516_spl
<=> op1(e13,op1(e10,e12)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f2948,plain,
( ~ sQ516_spl
| op1(e13,op1(e10,e12)) = e13 ),
inference(component_clause,[status(thm)],[f2947]) ).
fof(f2951,plain,
( ~ sQ512_spl
| sQ494_spl ),
inference(split_clause,[status(thm)],[f834,f2853,f2931]) ).
fof(f2952,plain,
( sQ516_spl
| sQ515_spl
| sQ514_spl
| sQ513_spl
| ~ sQ403_spl
| sQ494_spl ),
inference(split_clause,[status(thm)],[f835,f2853,f2460,f2935,f2939,f2943,f2947]) ).
fof(f2953,definition,
( sQ517_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f2960,definition,
( sQ519_spl
<=> op2(op2(e20,e22),e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition]) ).
fof(f2961,plain,
( ~ sQ519_spl
| op2(op2(e20,e22),e20) = e22 ),
inference(component_clause,[status(thm)],[f2960]) ).
fof(f2963,plain,
( sQ519_spl
| sQ517_spl
| ~ sQ499_spl ),
inference(split_clause,[status(thm)],[f840,f2875,f2953,f2960]) ).
fof(f2964,definition,
( sQ520_spl
<=> op2(op2(e20,e22),e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).
fof(f2965,plain,
( ~ sQ520_spl
| op2(op2(e20,e22),e22) = e20 ),
inference(component_clause,[status(thm)],[f2964]) ).
fof(f2966,plain,
( sQ520_spl
| op2(op2(e20,e22),e22) != e20 ),
inference(component_clause,[status(thm)],[f2964]) ).
fof(f2968,plain,
( ~ sQ517_spl
| sQ499_spl ),
inference(split_clause,[status(thm)],[f842,f2875,f2953]) ).
fof(f2970,definition,
( sQ521_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ521_spl])],[split_symbol_definition]) ).
fof(f2973,plain,
( sQ413_spl
| sQ521_spl
| ~ sQ503_spl ),
inference(split_clause,[status(thm)],[f847,f2892,f2970,f2502]) ).
fof(f2978,definition,
( sQ523_spl
<=> op2(e21,op2(e20,e22)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).
fof(f2979,plain,
( ~ sQ523_spl
| op2(e21,op2(e20,e22)) = e21 ),
inference(component_clause,[status(thm)],[f2978]) ).
fof(f2980,plain,
( sQ523_spl
| op2(e21,op2(e20,e22)) != e21 ),
inference(component_clause,[status(thm)],[f2978]) ).
fof(f2981,plain,
( ~ sQ523_spl
| sQ521_spl
| ~ sQ503_spl ),
inference(split_clause,[status(thm)],[f849,f2892,f2970,f2978]) ).
fof(f2982,definition,
( sQ524_spl
<=> op2(e22,op2(e20,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f2983,plain,
( ~ sQ524_spl
| op2(e22,op2(e20,e22)) = e22 ),
inference(component_clause,[status(thm)],[f2982]) ).
fof(f2984,plain,
( sQ524_spl
| op2(e22,op2(e20,e22)) != e22 ),
inference(component_clause,[status(thm)],[f2982]) ).
fof(f2986,definition,
( sQ525_spl
<=> op2(e23,op2(e20,e22)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).
fof(f2987,plain,
( ~ sQ525_spl
| op2(e23,op2(e20,e22)) = e23 ),
inference(component_clause,[status(thm)],[f2986]) ).
fof(f2990,plain,
( ~ sQ521_spl
| sQ503_spl ),
inference(split_clause,[status(thm)],[f852,f2892,f2970]) ).
fof(f2992,definition,
( sQ526_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ526_spl])],[split_symbol_definition]) ).
fof(f2995,definition,
( sQ527_spl
<=> op1(e10,op1(e10,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ527_spl])],[split_symbol_definition]) ).
fof(f2996,plain,
( ~ sQ527_spl
| op1(e10,op1(e10,e11)) = e11 ),
inference(component_clause,[status(thm)],[f2995]) ).
fof(f2999,definition,
( sQ528_spl
<=> op1(op1(e10,e11),e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ528_spl])],[split_symbol_definition]) ).
fof(f3000,plain,
( ~ sQ528_spl
| op1(op1(e10,e11),e10) = e11 ),
inference(component_clause,[status(thm)],[f2999]) ).
fof(f3001,plain,
( sQ528_spl
| op1(op1(e10,e11),e10) != e11 ),
inference(component_clause,[status(thm)],[f2999]) ).
fof(f3002,plain,
( sQ528_spl
| sQ526_spl
| ~ sQ508_spl ),
inference(split_clause,[status(thm)],[f858,f2914,f2992,f2999]) ).
fof(f3003,definition,
( sQ529_spl
<=> op1(op1(e10,e11),e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ529_spl])],[split_symbol_definition]) ).
fof(f3004,plain,
( ~ sQ529_spl
| op1(op1(e10,e11),e11) = e10 ),
inference(component_clause,[status(thm)],[f3003]) ).
fof(f3005,plain,
( sQ529_spl
| op1(op1(e10,e11),e11) != e10 ),
inference(component_clause,[status(thm)],[f3003]) ).
fof(f3006,plain,
( ~ sQ529_spl
| sQ526_spl
| ~ sQ508_spl ),
inference(split_clause,[status(thm)],[f859,f2914,f2992,f3003]) ).
fof(f3007,plain,
( ~ sQ526_spl
| sQ508_spl ),
inference(split_clause,[status(thm)],[f860,f2914,f2992]) ).
fof(f3008,plain,
( sQ529_spl
| ~ sQ528_spl
| sQ527_spl
| sQ508_spl ),
inference(split_clause,[status(thm)],[f861,f2914,f2995,f2999,f3003]) ).
fof(f3009,definition,
( sQ530_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f3012,plain,
( sQ475_spl
| sQ530_spl
| ~ sQ512_spl ),
inference(split_clause,[status(thm)],[f865,f2931,f3009,f2772]) ).
fof(f3013,definition,
( sQ531_spl
<=> op1(e10,op1(e10,e11)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition]) ).
fof(f3014,plain,
( ~ sQ531_spl
| op1(e10,op1(e10,e11)) = e10 ),
inference(component_clause,[status(thm)],[f3013]) ).
fof(f3015,plain,
( sQ531_spl
| op1(e10,op1(e10,e11)) != e10 ),
inference(component_clause,[status(thm)],[f3013]) ).
fof(f3016,plain,
( ~ sQ531_spl
| sQ530_spl
| ~ sQ512_spl ),
inference(split_clause,[status(thm)],[f866,f2931,f3009,f3013]) ).
fof(f3017,definition,
( sQ532_spl
<=> op1(e11,op1(e10,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ532_spl])],[split_symbol_definition]) ).
fof(f3018,plain,
( ~ sQ532_spl
| op1(e11,op1(e10,e11)) = e11 ),
inference(component_clause,[status(thm)],[f3017]) ).
fof(f3019,plain,
( sQ532_spl
| op1(e11,op1(e10,e11)) != e11 ),
inference(component_clause,[status(thm)],[f3017]) ).
fof(f3021,definition,
( sQ533_spl
<=> op1(e12,op1(e10,e11)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ533_spl])],[split_symbol_definition]) ).
fof(f3022,plain,
( ~ sQ533_spl
| op1(e12,op1(e10,e11)) = e12 ),
inference(component_clause,[status(thm)],[f3021]) ).
fof(f3023,plain,
( sQ533_spl
| op1(e12,op1(e10,e11)) != e12 ),
inference(component_clause,[status(thm)],[f3021]) ).
fof(f3025,definition,
( sQ534_spl
<=> op1(e13,op1(e10,e11)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ534_spl])],[split_symbol_definition]) ).
fof(f3026,plain,
( ~ sQ534_spl
| op1(e13,op1(e10,e11)) = e13 ),
inference(component_clause,[status(thm)],[f3025]) ).
fof(f3027,plain,
( sQ534_spl
| op1(e13,op1(e10,e11)) != e13 ),
inference(component_clause,[status(thm)],[f3025]) ).
fof(f3029,plain,
( ~ sQ530_spl
| sQ512_spl ),
inference(split_clause,[status(thm)],[f870,f2931,f3009]) ).
fof(f3031,definition,
( sQ535_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f3034,definition,
( sQ536_spl
<=> op2(e20,op2(e20,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f3035,plain,
( ~ sQ536_spl
| op2(e20,op2(e20,e21)) = e21 ),
inference(component_clause,[status(thm)],[f3034]) ).
fof(f3038,definition,
( sQ537_spl
<=> op2(op2(e20,e21),e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f3039,plain,
( ~ sQ537_spl
| op2(op2(e20,e21),e20) = e21 ),
inference(component_clause,[status(thm)],[f3038]) ).
fof(f3040,plain,
( sQ537_spl
| op2(op2(e20,e21),e20) != e21 ),
inference(component_clause,[status(thm)],[f3038]) ).
fof(f3041,plain,
( sQ537_spl
| sQ535_spl
| ~ sQ517_spl ),
inference(split_clause,[status(thm)],[f876,f2953,f3031,f3038]) ).
fof(f3042,definition,
( sQ538_spl
<=> op2(op2(e20,e21),e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).
fof(f3043,plain,
( ~ sQ538_spl
| op2(op2(e20,e21),e21) = e20 ),
inference(component_clause,[status(thm)],[f3042]) ).
fof(f3044,plain,
( sQ538_spl
| op2(op2(e20,e21),e21) != e20 ),
inference(component_clause,[status(thm)],[f3042]) ).
fof(f3045,plain,
( ~ sQ538_spl
| sQ535_spl
| ~ sQ517_spl ),
inference(split_clause,[status(thm)],[f877,f2953,f3031,f3042]) ).
fof(f3046,plain,
( ~ sQ535_spl
| sQ517_spl ),
inference(split_clause,[status(thm)],[f878,f2953,f3031]) ).
fof(f3047,plain,
( sQ538_spl
| ~ sQ537_spl
| sQ536_spl
| sQ517_spl ),
inference(split_clause,[status(thm)],[f879,f2953,f3034,f3038,f3042]) ).
fof(f3048,definition,
( sQ539_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).
fof(f3051,plain,
( sQ485_spl
| sQ539_spl
| ~ sQ521_spl ),
inference(split_clause,[status(thm)],[f883,f2970,f3048,f2814]) ).
fof(f3052,definition,
( sQ540_spl
<=> op2(e20,op2(e20,e21)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f3053,plain,
( ~ sQ540_spl
| op2(e20,op2(e20,e21)) = e20 ),
inference(component_clause,[status(thm)],[f3052]) ).
fof(f3054,plain,
( sQ540_spl
| op2(e20,op2(e20,e21)) != e20 ),
inference(component_clause,[status(thm)],[f3052]) ).
fof(f3055,plain,
( ~ sQ540_spl
| sQ539_spl
| ~ sQ521_spl ),
inference(split_clause,[status(thm)],[f884,f2970,f3048,f3052]) ).
fof(f3056,definition,
( sQ541_spl
<=> op2(e21,op2(e20,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).
fof(f3057,plain,
( ~ sQ541_spl
| op2(e21,op2(e20,e21)) = e21 ),
inference(component_clause,[status(thm)],[f3056]) ).
fof(f3058,plain,
( sQ541_spl
| op2(e21,op2(e20,e21)) != e21 ),
inference(component_clause,[status(thm)],[f3056]) ).
fof(f3060,definition,
( sQ542_spl
<=> op2(e22,op2(e20,e21)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition]) ).
fof(f3061,plain,
( ~ sQ542_spl
| op2(e22,op2(e20,e21)) = e22 ),
inference(component_clause,[status(thm)],[f3060]) ).
fof(f3062,plain,
( sQ542_spl
| op2(e22,op2(e20,e21)) != e22 ),
inference(component_clause,[status(thm)],[f3060]) ).
fof(f3064,definition,
( sQ543_spl
<=> op2(e23,op2(e20,e21)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f3065,plain,
( ~ sQ543_spl
| op2(e23,op2(e20,e21)) = e23 ),
inference(component_clause,[status(thm)],[f3064]) ).
fof(f3066,plain,
( sQ543_spl
| op2(e23,op2(e20,e21)) != e23 ),
inference(component_clause,[status(thm)],[f3064]) ).
fof(f3068,plain,
( ~ sQ539_spl
| sQ521_spl ),
inference(split_clause,[status(thm)],[f888,f2970,f3048]) ).
fof(f3070,definition,
( sQ544_spl
<=> op1(e10,op1(e10,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f3071,plain,
( ~ sQ544_spl
| op1(e10,op1(e10,e10)) = e10 ),
inference(component_clause,[status(thm)],[f3070]) ).
fof(f3072,plain,
( sQ544_spl
| op1(e10,op1(e10,e10)) != e10 ),
inference(component_clause,[status(thm)],[f3070]) ).
fof(f3074,definition,
( sQ545_spl
<=> op1(op1(e10,e10),e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f3075,plain,
( ~ sQ545_spl
| op1(op1(e10,e10),e10) = e10 ),
inference(component_clause,[status(thm)],[f3074]) ).
fof(f3076,plain,
( sQ545_spl
| op1(op1(e10,e10),e10) != e10 ),
inference(component_clause,[status(thm)],[f3074]) ).
fof(f3077,plain,
( sQ545_spl
| ~ sQ526_spl ),
inference(split_clause,[status(thm)],[f892,f2992,f3074]) ).
fof(f3078,plain,
( ~ sQ545_spl
| ~ sQ526_spl ),
inference(split_clause,[status(thm)],[f893,f2992,f3074]) ).
fof(f3080,definition,
( sQ546_spl
<=> op1(e10,e10) = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).
fof(f3082,plain,
( sQ546_spl
| op1(e10,e10) != op1(e10,e10) ),
inference(component_clause,[status(thm)],[f3080]) ).
fof(f3085,definition,
( sQ547_spl
<=> op1(e11,op1(e10,e10)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f3086,plain,
( ~ sQ547_spl
| op1(e11,op1(e10,e10)) = e11 ),
inference(component_clause,[status(thm)],[f3085]) ).
fof(f3089,definition,
( sQ548_spl
<=> op1(e12,op1(e10,e10)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f3090,plain,
( ~ sQ548_spl
| op1(e12,op1(e10,e10)) = e12 ),
inference(component_clause,[status(thm)],[f3089]) ).
fof(f3091,plain,
( sQ548_spl
| op1(e12,op1(e10,e10)) != e12 ),
inference(component_clause,[status(thm)],[f3089]) ).
fof(f3092,plain,
( ~ sQ548_spl
| ~ sQ530_spl ),
inference(split_clause,[status(thm)],[f899,f3009,f3089]) ).
fof(f3093,definition,
( sQ549_spl
<=> op1(e13,op1(e10,e10)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).
fof(f3094,plain,
( ~ sQ549_spl
| op1(e13,op1(e10,e10)) = e13 ),
inference(component_clause,[status(thm)],[f3093]) ).
fof(f3095,plain,
( sQ549_spl
| op1(e13,op1(e10,e10)) != e13 ),
inference(component_clause,[status(thm)],[f3093]) ).
fof(f3096,plain,
( ~ sQ549_spl
| ~ sQ530_spl ),
inference(split_clause,[status(thm)],[f900,f3009,f3093]) ).
fof(f3097,plain,
( sQ549_spl
| sQ548_spl
| sQ547_spl
| sQ544_spl
| ~ sQ546_spl
| sQ530_spl ),
inference(split_clause,[status(thm)],[f901,f3009,f3080,f3070,f3085,f3089,f3093]) ).
fof(f3098,definition,
( sQ550_spl
<=> op2(e20,op2(e20,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).
fof(f3099,plain,
( ~ sQ550_spl
| op2(e20,op2(e20,e20)) = e20 ),
inference(component_clause,[status(thm)],[f3098]) ).
fof(f3100,plain,
( sQ550_spl
| op2(e20,op2(e20,e20)) != e20 ),
inference(component_clause,[status(thm)],[f3098]) ).
fof(f3102,definition,
( sQ551_spl
<=> op2(op2(e20,e20),e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).
fof(f3103,plain,
( ~ sQ551_spl
| op2(op2(e20,e20),e20) = e20 ),
inference(component_clause,[status(thm)],[f3102]) ).
fof(f3104,plain,
( sQ551_spl
| op2(op2(e20,e20),e20) != e20 ),
inference(component_clause,[status(thm)],[f3102]) ).
fof(f3105,plain,
( sQ551_spl
| ~ sQ535_spl ),
inference(split_clause,[status(thm)],[f904,f3031,f3102]) ).
fof(f3106,plain,
( ~ sQ551_spl
| ~ sQ535_spl ),
inference(split_clause,[status(thm)],[f905,f3031,f3102]) ).
fof(f3108,definition,
( sQ552_spl
<=> op2(e20,e20) = op2(e20,e20) ),
introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition]) ).
fof(f3110,plain,
( sQ552_spl
| op2(e20,e20) != op2(e20,e20) ),
inference(component_clause,[status(thm)],[f3108]) ).
fof(f3113,definition,
( sQ553_spl
<=> op2(e21,op2(e20,e20)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).
fof(f3114,plain,
( ~ sQ553_spl
| op2(e21,op2(e20,e20)) = e21 ),
inference(component_clause,[status(thm)],[f3113]) ).
fof(f3117,definition,
( sQ554_spl
<=> op2(e22,op2(e20,e20)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f3118,plain,
( ~ sQ554_spl
| op2(e22,op2(e20,e20)) = e22 ),
inference(component_clause,[status(thm)],[f3117]) ).
fof(f3119,plain,
( sQ554_spl
| op2(e22,op2(e20,e20)) != e22 ),
inference(component_clause,[status(thm)],[f3117]) ).
fof(f3120,plain,
( ~ sQ554_spl
| ~ sQ539_spl ),
inference(split_clause,[status(thm)],[f911,f3048,f3117]) ).
fof(f3121,definition,
( sQ555_spl
<=> op2(e23,op2(e20,e20)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition]) ).
fof(f3122,plain,
( ~ sQ555_spl
| op2(e23,op2(e20,e20)) = e23 ),
inference(component_clause,[status(thm)],[f3121]) ).
fof(f3123,plain,
( sQ555_spl
| op2(e23,op2(e20,e20)) != e23 ),
inference(component_clause,[status(thm)],[f3121]) ).
fof(f3124,plain,
( ~ sQ555_spl
| ~ sQ539_spl ),
inference(split_clause,[status(thm)],[f912,f3048,f3121]) ).
fof(f3125,plain,
( sQ555_spl
| sQ554_spl
| sQ553_spl
| sQ550_spl
| ~ sQ552_spl
| sQ539_spl ),
inference(split_clause,[status(thm)],[f913,f3048,f3108,f3098,f3113,f3117,f3121]) ).
fof(f3126,plain,
e11 = op1(e10,e12),
inference(backward_demodulation,[status(thm)],[f263,f262]) ).
fof(f3127,plain,
e12 != op1(e10,e13),
inference(backward_demodulation,[status(thm)],[f263,f142]) ).
fof(f3130,plain,
e12 != op1(e13,e10),
inference(backward_demodulation,[status(thm)],[f263,f118]) ).
fof(f3131,plain,
e12 != op1(e12,e10),
inference(backward_demodulation,[status(thm)],[f263,f117]) ).
fof(f3132,plain,
e12 != op1(e11,e10),
inference(backward_demodulation,[status(thm)],[f263,f116]) ).
fof(f3135,plain,
e13 != op1(e13,e11),
inference(backward_demodulation,[status(thm)],[f3138,f124]) ).
fof(f3136,plain,
e13 != op1(e12,e11),
inference(backward_demodulation,[status(thm)],[f3138,f123]) ).
fof(f3137,plain,
e13 != op1(e11,e11),
inference(backward_demodulation,[status(thm)],[f3138,f122]) ).
fof(f3138,plain,
e13 = op1(e10,e11),
inference(forward_demodulation,[status(thm)],[f262,f264]) ).
fof(f3139,plain,
e21 = op2(e20,e22),
inference(backward_demodulation,[status(thm)],[f266,f265]) ).
fof(f3140,plain,
e22 != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f266,f190]) ).
fof(f3143,plain,
e22 != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f266,f166]) ).
fof(f3144,plain,
e22 != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f266,f165]) ).
fof(f3145,plain,
e22 != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f266,f164]) ).
fof(f3146,plain,
e23 != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f3151,f192]) ).
fof(f3149,plain,
e23 != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f3151,f171]) ).
fof(f3150,plain,
e23 != op2(e21,e21),
inference(backward_demodulation,[status(thm)],[f3151,f170]) ).
fof(f3151,plain,
e23 = op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f265,f267]) ).
fof(f3152,plain,
h1(e11) = e21,
inference(forward_demodulation,[status(thm)],[f265,f269]) ).
fof(f3153,plain,
h1(e12) = e22,
inference(forward_demodulation,[status(thm)],[f266,f270]) ).
fof(f3154,plain,
h1(e13) = op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f265,f271]) ).
fof(f3155,plain,
h1(e13) = e23,
inference(forward_demodulation,[status(thm)],[f3151,f3154]) ).
fof(f3156,plain,
h2(e11) = op2(e21,h2(e12)),
inference(backward_demodulation,[status(thm)],[f274,f273]) ).
fof(f3157,plain,
h2(e12) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f274,f198]) ).
fof(f3159,plain,
op2(e21,e20) != h2(e12),
inference(backward_demodulation,[status(thm)],[f274,f194]) ).
fof(f3162,plain,
h2(e13) = op2(e21,h2(e11)),
inference(forward_demodulation,[status(thm)],[f273,f275]) ).
fof(f3163,plain,
h3(e11) = op2(e22,h3(e12)),
inference(backward_demodulation,[status(thm)],[f278,f277]) ).
fof(f3164,plain,
h3(e12) != op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f278,f205]) ).
fof(f3165,plain,
op2(e22,e21) != h3(e12),
inference(backward_demodulation,[status(thm)],[f278,f203]) ).
fof(f3166,plain,
op2(e22,e20) != h3(e12),
inference(backward_demodulation,[status(thm)],[f278,f201]) ).
fof(f3167,plain,
h3(e12) != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f278,f181]) ).
fof(f3169,plain,
op2(e20,e22) != h3(e12),
inference(backward_demodulation,[status(thm)],[f278,f177]) ).
fof(f3170,plain,
h3(e13) = op2(e22,h3(e11)),
inference(forward_demodulation,[status(thm)],[f277,f279]) ).
fof(f3171,plain,
h4(e11) = op2(e23,h4(e12)),
inference(backward_demodulation,[status(thm)],[f282,f281]) ).
fof(f3172,plain,
op2(e23,e22) != h4(e12),
inference(backward_demodulation,[status(thm)],[f282,f211]) ).
fof(f3173,plain,
op2(e23,e21) != h4(e12),
inference(backward_demodulation,[status(thm)],[f282,f210]) ).
fof(f3174,plain,
op2(e23,e20) != h4(e12),
inference(backward_demodulation,[status(thm)],[f282,f208]) ).
fof(f3175,plain,
op2(e22,e23) != h4(e12),
inference(backward_demodulation,[status(thm)],[f282,f187]) ).
fof(f3176,plain,
op2(e21,e23) != h4(e12),
inference(backward_demodulation,[status(thm)],[f282,f186]) ).
fof(f3178,plain,
h4(e13) = op2(e23,h4(e11)),
inference(forward_demodulation,[status(thm)],[f281,f283]) ).
fof(f3183,plain,
( sQ215_spl
| h4(op1(e10,e12)) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f280,f1685]) ).
fof(f3184,plain,
( sQ214_spl
| h4(e13) != op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f3138,f1682]) ).
fof(f3185,plain,
( sQ214_spl
| h4(e13) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f280,f3184]) ).
fof(f3186,plain,
( sQ214_spl
| h4(e13) != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f3178,f3185]) ).
fof(f3187,plain,
( sQ214_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3186]) ).
fof(f3188,plain,
sQ214_spl,
inference(contradiction_clause,[status(thm)],[f3187]) ).
fof(f3189,plain,
( sQ213_spl
| h4(e12) != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f263,f1679]) ).
fof(f3190,plain,
( sQ213_spl
| h4(e12) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f3189]) ).
fof(f3191,plain,
( sQ213_spl
| h4(e12) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f280,f3190]) ).
fof(f3192,plain,
( sQ213_spl
| h4(e12) != h4(e12) ),
inference(forward_demodulation,[status(thm)],[f282,f3191]) ).
fof(f3193,plain,
( sQ213_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3192]) ).
fof(f3194,plain,
sQ213_spl,
inference(contradiction_clause,[status(thm)],[f3193]) ).
fof(f3195,plain,
( sQ202_spl
| h3(op1(e13,e10)) != op2(h3(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f276,f1642]) ).
fof(f3198,plain,
( sQ193_spl
| h3(op1(e10,e13)) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f276,f1615]) ).
fof(f3199,plain,
( sQ192_spl
| h3(op1(e10,e12)) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f276,f1612]) ).
fof(f3200,plain,
( sQ191_spl
| h3(e13) != op2(h3(e10),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f3138,f1609]) ).
fof(f3201,plain,
( sQ191_spl
| h3(e13) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f276,f3200]) ).
fof(f3202,plain,
( sQ191_spl
| h3(e13) != h3(e13) ),
inference(forward_demodulation,[status(thm)],[f3170,f3201]) ).
fof(f3203,plain,
( sQ191_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3202]) ).
fof(f3204,plain,
sQ191_spl,
inference(contradiction_clause,[status(thm)],[f3203]) ).
fof(f3205,plain,
( sQ190_spl
| h3(e12) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f263,f1606]) ).
fof(f3206,plain,
( sQ190_spl
| h3(e12) != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f276,f3205]) ).
fof(f3207,plain,
( sQ190_spl
| h3(e12) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f276,f3206]) ).
fof(f3208,plain,
( sQ190_spl
| h3(e12) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f278,f3207]) ).
fof(f3209,plain,
( sQ190_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3208]) ).
fof(f3210,plain,
sQ190_spl,
inference(contradiction_clause,[status(thm)],[f3209]) ).
fof(f3212,plain,
( sQ175_spl
| h2(op1(e12,e10)) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f272,f1557]) ).
fof(f3213,plain,
( sQ171_spl
| h2(op1(e11,e10)) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f272,f1545]) ).
fof(f3214,plain,
( sQ170_spl
| h2(op1(e10,e13)) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f272,f1542]) ).
fof(f3215,plain,
( sQ169_spl
| h2(op1(e10,e12)) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f272,f1539]) ).
fof(f3216,plain,
( sQ168_spl
| h2(e13) != op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3138,f1536]) ).
fof(f3217,plain,
( sQ168_spl
| h2(e13) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f272,f3216]) ).
fof(f3218,plain,
( sQ168_spl
| h2(e13) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f3162,f3217]) ).
fof(f3219,plain,
( sQ168_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3218]) ).
fof(f3220,plain,
sQ168_spl,
inference(contradiction_clause,[status(thm)],[f3219]) ).
fof(f3221,plain,
( sQ167_spl
| h2(e12) != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f263,f1533]) ).
fof(f3222,plain,
( sQ167_spl
| h2(e12) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f272,f3221]) ).
fof(f3223,plain,
( sQ167_spl
| h2(e12) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f272,f3222]) ).
fof(f3224,plain,
( sQ167_spl
| h2(e12) != h2(e12) ),
inference(forward_demodulation,[status(thm)],[f274,f3223]) ).
fof(f3225,plain,
( sQ167_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3224]) ).
fof(f3226,plain,
sQ167_spl,
inference(contradiction_clause,[status(thm)],[f3225]) ).
fof(f3227,plain,
( sQ159_spl
| h1(op1(e13,e13)) != op2(e23,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3155,f1505]) ).
fof(f3228,plain,
( sQ159_spl
| h1(op1(e13,e13)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3155,f3227]) ).
fof(f3229,plain,
( sQ159_spl
| h1(op1(e13,e13)) != h4(e12) ),
inference(forward_demodulation,[status(thm)],[f282,f3228]) ).
fof(f3230,plain,
( sQ158_spl
| h1(op1(e13,e12)) != op2(e23,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3155,f1502]) ).
fof(f3231,plain,
( sQ158_spl
| h1(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3153,f3230]) ).
fof(f3232,plain,
( sQ157_spl
| h1(op1(e13,e11)) != op2(e23,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3155,f1499]) ).
fof(f3233,plain,
( sQ157_spl
| h1(op1(e13,e11)) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3152,f3232]) ).
fof(f3234,plain,
( sQ156_spl
| h1(op1(e13,e10)) != op2(e23,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3155,f1496]) ).
fof(f3235,plain,
( sQ156_spl
| h1(op1(e13,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f268,f3234]) ).
fof(f3236,plain,
( sQ155_spl
| h1(op1(e12,e13)) != op2(e22,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3153,f1493]) ).
fof(f3237,plain,
( sQ155_spl
| h1(op1(e12,e13)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3155,f3236]) ).
fof(f3238,plain,
( sQ154_spl
| h1(op1(e12,e12)) != op2(e22,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3153,f1490]) ).
fof(f3239,plain,
( sQ154_spl
| h1(op1(e12,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3153,f3238]) ).
fof(f3240,plain,
( sQ154_spl
| h1(op1(e12,e12)) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f278,f3239]) ).
fof(f3241,plain,
( sQ153_spl
| h1(op1(e12,e11)) != op2(e22,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3153,f1487]) ).
fof(f3242,plain,
( sQ153_spl
| h1(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f3152,f3241]) ).
fof(f3243,plain,
( sQ152_spl
| h1(op1(e12,e10)) != op2(e22,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3153,f1484]) ).
fof(f3244,plain,
( sQ152_spl
| h1(op1(e12,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f268,f3243]) ).
fof(f3245,plain,
( sQ151_spl
| h1(op1(e11,e13)) != op2(e21,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3152,f1481]) ).
fof(f3246,plain,
( sQ151_spl
| h1(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3155,f3245]) ).
fof(f3247,plain,
( sQ150_spl
| h1(op1(e11,e12)) != op2(e21,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3152,f1478]) ).
fof(f3248,plain,
( sQ150_spl
| h1(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f3153,f3247]) ).
fof(f3249,plain,
( sQ149_spl
| h1(op1(e11,e11)) != op2(e21,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3152,f1475]) ).
fof(f3250,plain,
( sQ149_spl
| h1(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f3152,f3249]) ).
fof(f3251,plain,
( sQ149_spl
| h1(op1(e11,e11)) != h2(e12) ),
inference(forward_demodulation,[status(thm)],[f274,f3250]) ).
fof(f3252,plain,
( sQ148_spl
| h1(op1(e11,e10)) != op2(e21,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3152,f1472]) ).
fof(f3253,plain,
( sQ148_spl
| h1(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f268,f3252]) ).
fof(f3254,plain,
( sQ147_spl
| h1(op1(e10,e13)) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f268,f1469]) ).
fof(f3255,plain,
( sQ147_spl
| h1(op1(e10,e13)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3155,f3254]) ).
fof(f3256,plain,
( sQ146_spl
| h1(op1(e10,e12)) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f268,f1466]) ).
fof(f3257,plain,
( sQ146_spl
| h1(op1(e10,e12)) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f3153,f3256]) ).
fof(f3258,plain,
( sQ145_spl
| h1(e13) != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3138,f1463]) ).
fof(f3259,plain,
( sQ145_spl
| e23 != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3155,f3258]) ).
fof(f3260,plain,
( sQ145_spl
| e23 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f268,f3259]) ).
fof(f3261,plain,
( sQ145_spl
| e23 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f3152,f3260]) ).
fof(f3262,plain,
( sQ145_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3151,f3261]) ).
fof(f3263,plain,
( sQ145_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3262]) ).
fof(f3264,plain,
sQ145_spl,
inference(contradiction_clause,[status(thm)],[f3263]) ).
fof(f3265,plain,
( sQ144_spl
| h1(e12) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f263,f1460]) ).
fof(f3266,plain,
( sQ144_spl
| e22 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3153,f3265]) ).
fof(f3267,plain,
( sQ144_spl
| e22 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f268,f3266]) ).
fof(f3268,plain,
( sQ144_spl
| e22 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f268,f3267]) ).
fof(f3269,plain,
( sQ144_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f266,f3268]) ).
fof(f3270,plain,
( sQ144_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3269]) ).
fof(f3271,plain,
sQ144_spl,
inference(contradiction_clause,[status(thm)],[f3270]) ).
fof(f3280,plain,
( ~ sQ127_spl
| e23 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f3281,f282]) ).
fof(f3281,plain,
( ~ sQ127_spl
| h4(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f282,f1359]) ).
fof(f3283,plain,
( ~ sQ111_spl
| op2(e22,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f1307,f204]) ).
fof(f3294,plain,
( ~ sQ123_spl
| op2(e23,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f1346,f209]) ).
fof(f3295,plain,
( ~ sQ123_spl
| op2(e23,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f1346,f207]) ).
fof(f3296,plain,
( ~ sQ123_spl
| op2(e21,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1346,f180]) ).
fof(f3304,plain,
( ~ sQ126_spl
| h4(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f282,f1356]) ).
fof(f3305,plain,
( ~ sQ126_spl
| ~ sQ127_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f3281,f3304]) ).
fof(f3306,plain,
( ~ sQ126_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3305,f223]) ).
fof(f3307,plain,
( ~ sQ126_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f3306]) ).
fof(f3308,plain,
( ~ sQ110_spl
| ~ sQ111_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1307,f1304]) ).
fof(f3309,plain,
( ~ sQ110_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3308,f223]) ).
fof(f3310,plain,
( ~ sQ110_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3309]) ).
fof(f3311,plain,
( ~ sQ94_spl
| ~ sQ95_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1255,f1252]) ).
fof(f3312,plain,
( ~ sQ94_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3311,f223]) ).
fof(f3313,plain,
( ~ sQ94_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f3312]) ).
fof(f3317,plain,
( ~ sQ122_spl
| ~ sQ123_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1346,f1343]) ).
fof(f3318,plain,
( ~ sQ122_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3317,f223]) ).
fof(f3319,plain,
( ~ sQ122_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f3318]) ).
fof(f3320,plain,
( ~ sQ118_spl
| ~ sQ119_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1333,f1330]) ).
fof(f3321,plain,
( ~ sQ118_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3320,f223]) ).
fof(f3322,plain,
( ~ sQ118_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f3321]) ).
fof(f3326,plain,
( ~ sQ124_spl
| ~ sQ125_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1353,f1350]) ).
fof(f3327,plain,
( ~ sQ124_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3326,f218]) ).
fof(f3328,plain,
( ~ sQ124_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f3327]) ).
fof(f3335,plain,
( ~ sQ76_spl
| ~ sQ77_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1197,f1194]) ).
fof(f3336,plain,
( ~ sQ76_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3335,f218]) ).
fof(f3337,plain,
( ~ sQ76_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f3336]) ).
fof(f3341,plain,
( ~ sQ116_spl
| ~ sQ117_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1327,f1324]) ).
fof(f3342,plain,
( ~ sQ116_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3341,f218]) ).
fof(f3343,plain,
( ~ sQ116_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f3342]) ).
fof(f3344,plain,
( ~ sQ112_spl
| ~ sQ113_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1314,f1311]) ).
fof(f3345,plain,
( ~ sQ112_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3344,f218]) ).
fof(f3346,plain,
( ~ sQ112_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f3345]) ).
fof(f3355,plain,
( ~ sQ107_spl
| e23 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f3356,f278]) ).
fof(f3356,plain,
( ~ sQ107_spl
| h3(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f278,f1294]) ).
fof(f3358,plain,
( ~ sQ91_spl
| op2(e21,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f1242,f195]) ).
fof(f3364,plain,
( ~ sQ99_spl
| op2(e21,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f1268,f167]) ).
fof(f3365,plain,
( ~ sQ106_spl
| h3(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f278,f1291]) ).
fof(f3366,plain,
( ~ sQ106_spl
| ~ sQ107_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f3356,f3365]) ).
fof(f3367,plain,
( ~ sQ106_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3366,f223]) ).
fof(f3368,plain,
( ~ sQ106_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3367]) ).
fof(f3369,plain,
( ~ sQ90_spl
| ~ sQ91_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1242,f1239]) ).
fof(f3370,plain,
( ~ sQ90_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3369,f223]) ).
fof(f3371,plain,
( ~ sQ90_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f3370]) ).
fof(f3375,plain,
( ~ sQ102_spl
| ~ sQ103_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1281,f1278]) ).
fof(f3376,plain,
( ~ sQ102_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3375,f223]) ).
fof(f3377,plain,
( ~ sQ102_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f3376]) ).
fof(f3390,plain,
( ~ sQ100_spl
| ~ sQ101_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1275,f1272]) ).
fof(f3391,plain,
( ~ sQ100_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3390,f218]) ).
fof(f3392,plain,
( ~ sQ100_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f3391]) ).
fof(f3393,plain,
( ~ sQ96_spl
| ~ sQ97_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1262,f1259]) ).
fof(f3394,plain,
( ~ sQ96_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3393,f218]) ).
fof(f3395,plain,
( ~ sQ96_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3394]) ).
fof(f3404,plain,
( ~ sQ87_spl
| e23 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f3405,f274]) ).
fof(f3405,plain,
( ~ sQ87_spl
| h2(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f274,f1229]) ).
fof(f3407,plain,
( ~ sQ86_spl
| h2(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f274,f1226]) ).
fof(f3411,plain,
( ~ sQ70_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f3151,f1174]) ).
fof(f3412,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3411,f223]) ).
fof(f3413,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f3412]) ).
fof(f3414,plain,
( ~ sQ82_spl
| ~ sQ83_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1216,f1213]) ).
fof(f3415,plain,
( ~ sQ82_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3414,f223]) ).
fof(f3416,plain,
( ~ sQ82_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f3415]) ).
fof(f3417,plain,
( ~ sQ69_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f3151,f1171]) ).
fof(f3418,plain,
( ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3417,f222]) ).
fof(f3419,plain,
~ sQ69_spl,
inference(contradiction_clause,[status(thm)],[f3418]) ).
fof(f3420,plain,
( ~ sQ84_spl
| ~ sQ85_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1223,f1220]) ).
fof(f3421,plain,
( ~ sQ84_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3420,f218]) ).
fof(f3422,plain,
( ~ sQ84_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3421]) ).
fof(f3423,plain,
( ~ sQ68_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f3151,f1168]) ).
fof(f3424,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3423,f220]) ).
fof(f3425,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f3424]) ).
fof(f3426,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1210,f1207]) ).
fof(f3427,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3426,f218]) ).
fof(f3428,plain,
( ~ sQ80_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f3427]) ).
fof(f3429,plain,
( ~ sQ67_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f266,f1164]) ).
fof(f3430,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3429,f223]) ).
fof(f3431,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f3430]) ).
fof(f3432,plain,
( ~ sQ65_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f266,f1158]) ).
fof(f3433,plain,
( ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3432,f221]) ).
fof(f3434,plain,
~ sQ65_spl,
inference(contradiction_clause,[status(thm)],[f3433]) ).
fof(f3435,plain,
( ~ sQ64_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f266,f1155]) ).
fof(f3436,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3435,f219]) ).
fof(f3437,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f3436]) ).
fof(f3441,plain,
( ~ sQ63_spl
| op1(e13,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f1119,f163]) ).
fof(f3442,plain,
( ~ sQ63_spl
| op1(e13,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f1119,f162]) ).
fof(f3445,plain,
( ~ sQ63_spl
| op1(e11,e13) != e13 ),
inference(backward_demodulation,[status(thm)],[f1119,f138]) ).
fof(f3447,plain,
( ~ sQ47_spl
| op1(e12,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f1067,f157]) ).
fof(f3449,plain,
( ~ sQ47_spl
| op1(e12,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1067,f154]) ).
fof(f3457,plain,
( ~ sQ31_spl
| op1(e11,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1015,f148]) ).
fof(f3464,plain,
( ~ sQ59_spl
| op1(e13,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1106,f159]) ).
fof(f3478,plain,
( ~ sQ51_spl
| op1(e11,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1080,f120]) ).
fof(f3479,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1119,f1116]) ).
fof(f3480,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3479,f217]) ).
fof(f3481,plain,
( ~ sQ62_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f3480]) ).
fof(f3482,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1067,f1064]) ).
fof(f3483,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3482,f217]) ).
fof(f3484,plain,
( ~ sQ46_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3483]) ).
fof(f3485,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1015,f1012]) ).
fof(f3486,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3485,f217]) ).
fof(f3487,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f3486]) ).
fof(f3491,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1106,f1103]) ).
fof(f3492,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3491,f217]) ).
fof(f3493,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f3492]) ).
fof(f3494,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1093,f1090]) ).
fof(f3495,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3494,f217]) ).
fof(f3496,plain,
( ~ sQ54_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3495]) ).
fof(f3509,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f957,f954]) ).
fof(f3510,plain,
( ~ sQ12_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3509,f212]) ).
fof(f3511,plain,
( ~ sQ12_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f3510]) ).
fof(f3515,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1087,f1084]) ).
fof(f3516,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3515,f212]) ).
fof(f3517,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f3516]) ).
fof(f3518,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1074,f1071]) ).
fof(f3519,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3518,f212]) ).
fof(f3520,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3519]) ).
fof(f3522,plain,
( ~ sQ43_spl
| op1(e12,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1054,f153]) ).
fof(f3523,plain,
( ~ sQ43_spl
| op1(e11,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f1054,f131]) ).
fof(f3531,plain,
( ~ sQ42_spl
| ~ sQ43_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1054,f1051]) ).
fof(f3532,plain,
( ~ sQ42_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3531,f217]) ).
fof(f3533,plain,
( ~ sQ42_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f3532]) ).
fof(f3534,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1002,f999]) ).
fof(f3535,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3534,f217]) ).
fof(f3536,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3535]) ).
fof(f3546,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1048,f1045]) ).
fof(f3547,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3546,f212]) ).
fof(f3548,plain,
( ~ sQ40_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f3547]) ).
fof(f3555,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1035,f1032]) ).
fof(f3556,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3555,f212]) ).
fof(f3557,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f3556]) ).
fof(f3558,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1022,f1019]) ).
fof(f3559,plain,
( ~ sQ32_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3558,f212]) ).
fof(f3560,plain,
( ~ sQ32_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f3559]) ).
fof(f3571,plain,
( ~ sQ6_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f3138,f934]) ).
fof(f3572,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3571,f217]) ).
fof(f3573,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f3572]) ).
fof(f3577,plain,
( ~ sQ5_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f3138,f931]) ).
fof(f3578,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3577,f216]) ).
fof(f3579,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f3578]) ).
fof(f3580,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f983,f980]) ).
fof(f3581,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3580,f212]) ).
fof(f3582,plain,
( ~ sQ20_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3581]) ).
fof(f3583,plain,
( ~ sQ4_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f3138,f928]) ).
fof(f3584,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3583,f214]) ).
fof(f3585,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f3584]) ).
fof(f3586,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f970,f967]) ).
fof(f3587,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3586,f212]) ).
fof(f3588,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f3587]) ).
fof(f3589,plain,
( ~ sQ3_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f263,f924]) ).
fof(f3590,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3589,f217]) ).
fof(f3591,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f3590]) ).
fof(f3592,plain,
( ~ sQ1_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f263,f918]) ).
fof(f3593,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3592,f215]) ).
fof(f3594,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f3593]) ).
fof(f3595,plain,
( ~ sQ0_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f263,f915]) ).
fof(f3596,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3595,f213]) ).
fof(f3597,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f3596]) ).
fof(f3598,plain,
( sQ232_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f280,f1736]) ).
fof(f3599,plain,
( sQ232_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3598]) ).
fof(f3600,plain,
sQ232_spl,
inference(contradiction_clause,[status(thm)],[f3599]) ).
fof(f3603,plain,
( sQ166_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3155,f1529]) ).
fof(f3604,plain,
( sQ166_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3603]) ).
fof(f3605,plain,
sQ166_spl,
inference(contradiction_clause,[status(thm)],[f3604]) ).
fof(f3609,plain,
( sQ550_spl
| op2(e20,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f266,f3100]) ).
fof(f3610,plain,
( sQ544_spl
| op1(e10,e12) != e10 ),
inference(forward_demodulation,[status(thm)],[f263,f3072]) ).
fof(f3611,plain,
( ~ sQ551_spl
| op2(e22,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f266,f3103]) ).
fof(f3612,plain,
( ~ sQ545_spl
| op1(e12,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f263,f3075]) ).
fof(f3616,plain,
( sQ141_spl
| ~ sQ543_spl
| op2(e20,e23) != e20 ),
inference(backward_demodulation,[status(thm)],[f3618,f1447]) ).
fof(f3617,plain,
( sQ137_spl
| ~ sQ543_spl
| op2(e23,e23) != e23 ),
inference(backward_demodulation,[status(thm)],[f3618,f1431]) ).
fof(f3618,plain,
( ~ sQ543_spl
| op2(e23,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f3151,f3065]) ).
fof(f3619,plain,
( ~ sQ542_spl
| op2(e22,e23) = e22 ),
inference(forward_demodulation,[status(thm)],[f3151,f3061]) ).
fof(f3620,plain,
( ~ sQ541_spl
| op2(e21,e23) = e21 ),
inference(forward_demodulation,[status(thm)],[f3151,f3057]) ).
fof(f3621,plain,
( ~ sQ540_spl
| op2(e20,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f3151,f3053]) ).
fof(f3622,plain,
( ~ sQ485_spl
| e23 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3151,f2815]) ).
fof(f3623,plain,
( ~ sQ537_spl
| op2(e23,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f3151,f3039]) ).
fof(f3625,plain,
( sQ135_spl
| ~ sQ534_spl
| op1(e12,e13) != e12 ),
inference(backward_demodulation,[status(thm)],[f3629,f1423]) ).
fof(f3627,plain,
( sQ133_spl
| ~ sQ534_spl
| op1(e10,e13) != e10 ),
inference(backward_demodulation,[status(thm)],[f3629,f1415]) ).
fof(f3629,plain,
( ~ sQ534_spl
| op1(e13,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f3138,f3026]) ).
fof(f3630,plain,
( ~ sQ533_spl
| op1(e12,e13) = e12 ),
inference(forward_demodulation,[status(thm)],[f3138,f3022]) ).
fof(f3631,plain,
( ~ sQ532_spl
| op1(e11,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f3138,f3018]) ).
fof(f3632,plain,
( ~ sQ531_spl
| op1(e10,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f3138,f3014]) ).
fof(f3633,plain,
( ~ sQ475_spl
| e13 = op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f3138,f2773]) ).
fof(f3634,plain,
( ~ sQ528_spl
| op1(e13,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f3138,f3000]) ).
fof(f3641,plain,
( ~ sQ403_spl
| ~ sQ545_spl
| op1(e10,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f3612,f2461]) ).
fof(f3642,plain,
( ~ sQ403_spl
| ~ sQ545_spl
| sQ544_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3641,f3610]) ).
fof(f3643,plain,
( ~ sQ403_spl
| ~ sQ545_spl
| sQ544_spl ),
inference(contradiction_clause,[status(thm)],[f3642]) ).
fof(f3647,plain,
( ~ sQ507_spl
| ~ sQ540_spl
| op2(e23,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f3621,f2909]) ).
fof(f3648,plain,
( ~ sQ507_spl
| ~ sQ540_spl
| ~ sQ537_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f3623,f3647]) ).
fof(f3649,plain,
( ~ sQ507_spl
| ~ sQ540_spl
| ~ sQ537_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3648,f222]) ).
fof(f3650,plain,
( ~ sQ507_spl
| ~ sQ540_spl
| ~ sQ537_spl ),
inference(contradiction_clause,[status(thm)],[f3649]) ).
fof(f3651,plain,
( ~ sQ504_spl
| ~ sQ339_spl
| op2(e20,op2(e23,e20)) = e20 ),
inference(backward_demodulation,[status(thm)],[f2185,f2897]) ).
fof(f3659,plain,
( ~ sQ498_spl
| ~ sQ531_spl
| op1(e13,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f3632,f2870]) ).
fof(f3660,plain,
( ~ sQ498_spl
| ~ sQ531_spl
| ~ sQ528_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f3634,f3659]) ).
fof(f3661,plain,
( ~ sQ498_spl
| ~ sQ531_spl
| ~ sQ528_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3660,f216]) ).
fof(f3662,plain,
( ~ sQ498_spl
| ~ sQ531_spl
| ~ sQ528_spl ),
inference(contradiction_clause,[status(thm)],[f3661]) ).
fof(f3664,plain,
( ~ sQ496_spl
| ~ sQ329_spl
| op1(e11,op1(e13,e10)) = e11 ),
inference(backward_demodulation,[status(thm)],[f2143,f2862]) ).
fof(f3666,plain,
( ~ sQ493_spl
| ~ sQ329_spl
| op1(op1(e13,e10),e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f2143,f2848]) ).
fof(f3678,plain,
( ~ sQ483_spl
| ~ sQ485_spl
| op2(e23,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f3622,f2806]) ).
fof(f3682,plain,
( ~ sQ482_spl
| ~ sQ485_spl
| op2(e23,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f3622,f2802]) ).
fof(f3683,plain,
( ~ sQ481_spl
| ~ sQ485_spl
| op2(e21,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f3622,f2798]) ).
fof(f3684,plain,
( ~ sQ481_spl
| ~ sQ485_spl
| ~ sQ541_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f3620,f3683]) ).
fof(f3685,plain,
( ~ sQ481_spl
| ~ sQ485_spl
| ~ sQ541_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3684,f218]) ).
fof(f3686,plain,
( ~ sQ481_spl
| ~ sQ485_spl
| ~ sQ541_spl ),
inference(contradiction_clause,[status(thm)],[f3685]) ).
fof(f3689,plain,
( ~ sQ477_spl
| ~ sQ475_spl
| op1(e11,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f3633,f2781]) ).
fof(f3694,plain,
( ~ sQ473_spl
| ~ sQ475_spl
| op1(e13,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f3633,f2764]) ).
fof(f3698,plain,
( ~ sQ472_spl
| ~ sQ475_spl
| op1(e13,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f3633,f2760]) ).
fof(f3699,plain,
( ~ sQ471_spl
| ~ sQ475_spl
| op1(e11,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f3633,f2756]) ).
fof(f3700,plain,
( ~ sQ471_spl
| ~ sQ475_spl
| ~ sQ532_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f3631,f3699]) ).
fof(f3701,plain,
( ~ sQ471_spl
| ~ sQ475_spl
| ~ sQ532_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3700,f212]) ).
fof(f3702,plain,
( ~ sQ471_spl
| ~ sQ475_spl
| ~ sQ532_spl ),
inference(contradiction_clause,[status(thm)],[f3701]) ).
fof(f3703,plain,
( ~ sQ446_spl
| ~ sQ451_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f2667,f2645]) ).
fof(f3704,plain,
( ~ sQ446_spl
| ~ sQ451_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3703,f221]) ).
fof(f3705,plain,
( ~ sQ446_spl
| ~ sQ451_spl ),
inference(contradiction_clause,[status(thm)],[f3704]) ).
fof(f3706,plain,
( ~ sQ437_spl
| ~ sQ442_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f2628,f2606]) ).
fof(f3707,plain,
( ~ sQ437_spl
| ~ sQ442_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3706,f215]) ).
fof(f3708,plain,
( ~ sQ437_spl
| ~ sQ442_spl ),
inference(contradiction_clause,[status(thm)],[f3707]) ).
fof(f3716,plain,
( ~ sQ428_spl
| ~ sQ433_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f2589,f2567]) ).
fof(f3717,plain,
( ~ sQ428_spl
| ~ sQ433_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3716,f222]) ).
fof(f3718,plain,
( ~ sQ428_spl
| ~ sQ433_spl ),
inference(contradiction_clause,[status(thm)],[f3717]) ).
fof(f3726,plain,
( ~ sQ419_spl
| ~ sQ424_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f2550,f2528]) ).
fof(f3727,plain,
( ~ sQ419_spl
| ~ sQ424_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3726,f216]) ).
fof(f3728,plain,
( ~ sQ419_spl
| ~ sQ424_spl ),
inference(contradiction_clause,[status(thm)],[f3727]) ).
fof(f3729,plain,
( ~ sQ409_spl
| ~ sQ416_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f2515,f2486]) ).
fof(f3730,plain,
( ~ sQ409_spl
| ~ sQ416_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3729,f219]) ).
fof(f3731,plain,
( ~ sQ409_spl
| ~ sQ416_spl ),
inference(contradiction_clause,[status(thm)],[f3730]) ).
fof(f3732,plain,
( ~ sQ399_spl
| ~ sQ406_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f2473,f2444]) ).
fof(f3733,plain,
( ~ sQ399_spl
| ~ sQ406_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3732,f213]) ).
fof(f3734,plain,
( ~ sQ399_spl
| ~ sQ406_spl ),
inference(contradiction_clause,[status(thm)],[f3733]) ).
fof(f3735,plain,
( ~ sQ397_spl
| ~ sQ393_spl
| op2(e23,op2(e21,e22)) = e23 ),
inference(forward_demodulation,[status(thm)],[f2419,f2435]) ).
fof(f3740,plain,
( ~ sQ390_spl
| ~ sQ393_spl
| op2(op2(e21,e22),e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f2419,f2406]) ).
fof(f3741,plain,
( ~ sQ389_spl
| ~ sQ393_spl
| op2(e22,op2(e21,e22)) = e21 ),
inference(forward_demodulation,[status(thm)],[f2419,f2402]) ).
fof(f3742,plain,
( ~ sQ389_spl
| ~ sQ393_spl
| ~ sQ452_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2671,f3741]) ).
fof(f3743,plain,
( ~ sQ389_spl
| ~ sQ393_spl
| ~ sQ452_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3742,f221]) ).
fof(f3744,plain,
( ~ sQ389_spl
| ~ sQ393_spl
| ~ sQ452_spl ),
inference(contradiction_clause,[status(thm)],[f3743]) ).
fof(f3750,plain,
( ~ sQ380_spl
| ~ sQ383_spl
| op1(op1(e11,e12),e12) = e11 ),
inference(forward_demodulation,[status(thm)],[f2377,f2364]) ).
fof(f3751,plain,
( ~ sQ379_spl
| ~ sQ383_spl
| op1(e12,op1(e11,e12)) = e11 ),
inference(forward_demodulation,[status(thm)],[f2377,f2360]) ).
fof(f3752,plain,
( ~ sQ379_spl
| ~ sQ383_spl
| ~ sQ443_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f2632,f3751]) ).
fof(f3753,plain,
( ~ sQ379_spl
| ~ sQ383_spl
| ~ sQ443_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3752,f215]) ).
fof(f3754,plain,
( ~ sQ379_spl
| ~ sQ383_spl
| ~ sQ443_spl ),
inference(contradiction_clause,[status(thm)],[f3753]) ).
fof(f3755,plain,
( ~ sQ248_spl
| ~ sQ361_spl
| ~ sQ542_spl
| op2(e23,e23) = e22 ),
inference(backward_demodulation,[status(thm)],[f3756,f1800]) ).
fof(f3756,plain,
( ~ sQ361_spl
| ~ sQ542_spl
| op2(e23,e22) = e23 ),
inference(forward_demodulation,[status(thm)],[f3619,f2279]) ).
fof(f3762,plain,
( ~ sQ360_spl
| ~ sQ542_spl
| op2(e22,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f3619,f2275]) ).
fof(f3766,plain,
( ~ sQ359_spl
| ~ sQ542_spl
| op2(e21,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f3619,f2271]) ).
fof(f3767,plain,
( ~ sQ358_spl
| ~ sQ542_spl
| op2(e20,e22) = e20 ),
inference(forward_demodulation,[status(thm)],[f3619,f2267]) ).
fof(f3768,plain,
( ~ sQ358_spl
| ~ sQ542_spl
| sQ550_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3767,f3609]) ).
fof(f3769,plain,
( ~ sQ358_spl
| ~ sQ542_spl
| sQ550_spl ),
inference(contradiction_clause,[status(thm)],[f3768]) ).
fof(f3770,plain,
( ~ sQ356_spl
| ~ sQ251_spl
| op2(op2(e23,e22),e23) = e22 ),
inference(forward_demodulation,[status(thm)],[f1813,f2257]) ).
fof(f3772,plain,
( ~ sQ354_spl
| ~ sQ251_spl
| op2(e22,op2(e23,e22)) = e23 ),
inference(forward_demodulation,[status(thm)],[f1813,f2249]) ).
fof(f3784,plain,
( ~ sQ350_spl
| ~ sQ533_spl
| op1(e11,e12) = e11 ),
inference(forward_demodulation,[status(thm)],[f3630,f2232]) ).
fof(f3785,plain,
( ~ sQ349_spl
| ~ sQ533_spl
| op1(e10,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f3630,f2228]) ).
fof(f3786,plain,
( ~ sQ349_spl
| ~ sQ533_spl
| sQ544_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3785,f3610]) ).
fof(f3787,plain,
( ~ sQ349_spl
| ~ sQ533_spl
| sQ544_spl ),
inference(contradiction_clause,[status(thm)],[f3786]) ).
fof(f3789,plain,
( ~ sQ346_spl
| ~ sQ241_spl
| op1(op1(e13,e12),e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f1771,f2214]) ).
fof(f3791,plain,
( ~ sQ335_spl
| ~ sQ343_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f2201,f2168]) ).
fof(f3792,plain,
( ~ sQ335_spl
| ~ sQ343_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3791,f220]) ).
fof(f3793,plain,
( ~ sQ335_spl
| ~ sQ343_spl ),
inference(contradiction_clause,[status(thm)],[f3792]) ).
fof(f3794,plain,
( ~ sQ325_spl
| ~ sQ333_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f2159,f2126]) ).
fof(f3795,plain,
( ~ sQ325_spl
| ~ sQ333_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3794,f214]) ).
fof(f3796,plain,
( ~ sQ325_spl
| ~ sQ333_spl ),
inference(contradiction_clause,[status(thm)],[f3795]) ).
fof(f3829,plain,
( ~ sQ300_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f280,f2022]) ).
fof(f3830,plain,
( ~ sQ300_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3829,f223]) ).
fof(f3831,plain,
~ sQ300_spl,
inference(contradiction_clause,[status(thm)],[f3830]) ).
fof(f3835,plain,
( ~ sQ298_spl
| ~ sQ302_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2030,f2013]) ).
fof(f3836,plain,
( ~ sQ298_spl
| ~ sQ302_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3835,f221]) ).
fof(f3837,plain,
( ~ sQ298_spl
| ~ sQ302_spl ),
inference(contradiction_clause,[status(thm)],[f3836]) ).
fof(f3838,plain,
( ~ sQ297_spl
| ~ sQ301_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2026,f2009]) ).
fof(f3839,plain,
( ~ sQ297_spl
| ~ sQ301_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3838,f221]) ).
fof(f3840,plain,
( ~ sQ297_spl
| ~ sQ301_spl ),
inference(contradiction_clause,[status(thm)],[f3839]) ).
fof(f3841,plain,
( ~ sQ296_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f280,f2005]) ).
fof(f3842,plain,
( ~ sQ296_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3841,f222]) ).
fof(f3843,plain,
~ sQ296_spl,
inference(contradiction_clause,[status(thm)],[f3842]) ).
fof(f3844,plain,
( ~ sQ292_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f280,f1988]) ).
fof(f3845,plain,
( ~ sQ292_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3844,f220]) ).
fof(f3846,plain,
~ sQ292_spl,
inference(contradiction_clause,[status(thm)],[f3845]) ).
fof(f3848,plain,
( ~ sQ291_spl
| e22 = op2(e22,h3(e11)) ),
inference(backward_demodulation,[status(thm)],[f1983,f3170]) ).
fof(f3851,plain,
( ~ sQ287_spl
| ~ sQ291_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1983,f1966]) ).
fof(f3852,plain,
( ~ sQ287_spl
| ~ sQ291_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3851,f221]) ).
fof(f3853,plain,
( ~ sQ287_spl
| ~ sQ291_spl ),
inference(contradiction_clause,[status(thm)],[f3852]) ).
fof(f3857,plain,
( ~ sQ285_spl
| ~ sQ289_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1975,f1958]) ).
fof(f3858,plain,
( ~ sQ285_spl
| ~ sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3857,f221]) ).
fof(f3859,plain,
( ~ sQ285_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f3858]) ).
fof(f3860,plain,
( ~ sQ284_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f276,f1954]) ).
fof(f3861,plain,
( ~ sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3860,f221]) ).
fof(f3862,plain,
~ sQ284_spl,
inference(contradiction_clause,[status(thm)],[f3861]) ).
fof(f3863,plain,
( ~ sQ280_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f276,f1937]) ).
fof(f3864,plain,
( ~ sQ280_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3863,f219]) ).
fof(f3865,plain,
~ sQ280_spl,
inference(contradiction_clause,[status(thm)],[f3864]) ).
fof(f3870,plain,
( ~ sQ276_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f272,f1920]) ).
fof(f3871,plain,
( ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3870,f221]) ).
fof(f3872,plain,
~ sQ276_spl,
inference(contradiction_clause,[status(thm)],[f3871]) ).
fof(f3873,plain,
( ~ sQ275_spl
| ~ sQ279_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1932,f1915]) ).
fof(f3874,plain,
( ~ sQ275_spl
| ~ sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3873,f221]) ).
fof(f3875,plain,
( ~ sQ275_spl
| ~ sQ279_spl ),
inference(contradiction_clause,[status(thm)],[f3874]) ).
fof(f3876,plain,
( ~ sQ274_spl
| ~ sQ278_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1928,f1911]) ).
fof(f3877,plain,
( ~ sQ274_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3876,f221]) ).
fof(f3878,plain,
( ~ sQ274_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f3877]) ).
fof(f3879,plain,
( ~ sQ273_spl
| ~ sQ277_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1924,f1907]) ).
fof(f3880,plain,
( ~ sQ273_spl
| ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3879,f221]) ).
fof(f3881,plain,
( ~ sQ273_spl
| ~ sQ277_spl ),
inference(contradiction_clause,[status(thm)],[f3880]) ).
fof(f3882,plain,
( ~ sQ268_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f272,f1886]) ).
fof(f3883,plain,
( ~ sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3882,f218]) ).
fof(f3884,plain,
~ sQ268_spl,
inference(contradiction_clause,[status(thm)],[f3883]) ).
fof(f3885,plain,
( ~ sQ267_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f3155,f1881]) ).
fof(f3886,plain,
( ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3885,f223]) ).
fof(f3887,plain,
~ sQ267_spl,
inference(contradiction_clause,[status(thm)],[f3886]) ).
fof(f3888,plain,
( ~ sQ265_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f3152,f1873]) ).
fof(f3889,plain,
( ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3888,f221]) ).
fof(f3890,plain,
~ sQ265_spl,
inference(contradiction_clause,[status(thm)],[f3889]) ).
fof(f3891,plain,
( ~ sQ264_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f268,f1869]) ).
fof(f3892,plain,
( ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3891,f219]) ).
fof(f3893,plain,
~ sQ264_spl,
inference(contradiction_clause,[status(thm)],[f3892]) ).
fof(f3894,plain,
( ~ sQ263_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f3155,f1864]) ).
fof(f3895,plain,
( ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3894,f222]) ).
fof(f3896,plain,
~ sQ263_spl,
inference(contradiction_clause,[status(thm)],[f3895]) ).
fof(f3897,plain,
( ~ sQ262_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f3153,f1860]) ).
fof(f3898,plain,
( ~ sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3897,f221]) ).
fof(f3899,plain,
~ sQ262_spl,
inference(contradiction_clause,[status(thm)],[f3898]) ).
fof(f3900,plain,
( ~ sQ260_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f268,f1852]) ).
fof(f3901,plain,
( ~ sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3900,f218]) ).
fof(f3902,plain,
~ sQ260_spl,
inference(contradiction_clause,[status(thm)],[f3901]) ).
fof(f3903,plain,
( ~ sQ259_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f3155,f1847]) ).
fof(f3904,plain,
( ~ sQ259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3903,f220]) ).
fof(f3905,plain,
~ sQ259_spl,
inference(contradiction_clause,[status(thm)],[f3904]) ).
fof(f3906,plain,
( ~ sQ511_spl
| op1(e11,e12) = e10 ),
inference(backward_demodulation,[status(thm)],[f3126,f2926]) ).
fof(f3907,plain,
( ~ sQ514_spl
| op1(e11,e11) = e11 ),
inference(backward_demodulation,[status(thm)],[f3126,f2940]) ).
fof(f3908,plain,
( ~ sQ515_spl
| op1(e12,e11) = e12 ),
inference(backward_demodulation,[status(thm)],[f3126,f2944]) ).
fof(f3909,plain,
( ~ sQ516_spl
| op1(e13,e11) = e13 ),
inference(backward_demodulation,[status(thm)],[f3126,f2948]) ).
fof(f3915,plain,
( ~ sQ520_spl
| op2(e21,e22) = e20 ),
inference(backward_demodulation,[status(thm)],[f3139,f2965]) ).
fof(f3916,plain,
( ~ sQ523_spl
| op2(e21,e21) = e21 ),
inference(backward_demodulation,[status(thm)],[f3139,f2979]) ).
fof(f3917,plain,
( ~ sQ524_spl
| op2(e22,e21) = e22 ),
inference(backward_demodulation,[status(thm)],[f3139,f2983]) ).
fof(f3918,plain,
( ~ sQ525_spl
| op2(e23,e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f3139,f2987]) ).
fof(f3924,plain,
( ~ sQ269_spl
| e20 = op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1890,f3156]) ).
fof(f3925,plain,
( ~ sQ269_spl
| ~ sQ270_spl
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1894,f3924]) ).
fof(f3926,plain,
( ~ sQ269_spl
| ~ sQ270_spl
| ~ sQ485_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f3622,f3925]) ).
fof(f3927,plain,
( ~ sQ269_spl
| ~ sQ270_spl
| ~ sQ485_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3926,f220]) ).
fof(f3928,plain,
( ~ sQ269_spl
| ~ sQ270_spl
| ~ sQ485_spl ),
inference(contradiction_clause,[status(thm)],[f3927]) ).
fof(f3930,plain,
( ~ sQ281_spl
| e20 = op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1941,f3163]) ).
fof(f3932,plain,
( ~ sQ281_spl
| ~ sQ282_spl
| e20 = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1945,f3930]) ).
fof(f3935,plain,
( ~ sQ282_spl
| op2(e22,e21) != e20 ),
inference(forward_demodulation,[status(thm)],[f1945,f3165]) ).
fof(f3936,plain,
( ~ sQ281_spl
| ~ sQ282_spl
| e20 != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3932,f3166]) ).
fof(f3937,plain,
( ~ sQ281_spl
| ~ sQ282_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1945,f3936]) ).
fof(f3938,plain,
( ~ sQ281_spl
| ~ sQ282_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3937]) ).
fof(f3939,plain,
( ~ sQ281_spl
| ~ sQ282_spl ),
inference(contradiction_clause,[status(thm)],[f3938]) ).
fof(f3940,plain,
e21 != h3(e12),
inference(forward_demodulation,[status(thm)],[f3139,f3169]) ).
fof(f3944,plain,
( ~ sQ294_spl
| op2(e23,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f1996,f3172]) ).
fof(f3951,plain,
( ~ sQ214_spl
| h4(e13) = op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f3138,f1681]) ).
fof(f3956,plain,
( sQ554_spl
| op2(e22,e22) != e22 ),
inference(forward_demodulation,[status(thm)],[f266,f3119]) ).
fof(f3957,plain,
( sQ555_spl
| op2(e23,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f266,f3123]) ).
fof(f3959,plain,
( sQ548_spl
| op1(e12,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f263,f3091]) ).
fof(f3960,plain,
( sQ549_spl
| op1(e13,e12) != e13 ),
inference(forward_demodulation,[status(thm)],[f263,f3095]) ).
fof(f3961,plain,
( ~ sQ213_spl
| h4(e12) = op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f263,f1678]) ).
fof(f3962,plain,
( ~ sQ213_spl
| h4(e12) = op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f3961]) ).
fof(f3963,plain,
( ~ sQ213_spl
| h4(e12) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f280,f3962]) ).
fof(f3967,plain,
( ~ sQ213_spl
| ~ sQ543_spl
| h4(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f3618,f3963]) ).
fof(f3968,plain,
( ~ sQ191_spl
| h3(e13) = op2(h3(e10),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f3138,f1608]) ).
fof(f3972,plain,
( ~ sQ190_spl
| h3(e12) = op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f263,f1605]) ).
fof(f3973,plain,
( ~ sQ190_spl
| h3(e12) = op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f276,f3972]) ).
fof(f3974,plain,
( sQ554_spl
| ~ sQ190_spl
| h3(e12) != e22 ),
inference(backward_demodulation,[status(thm)],[f3975,f3956]) ).
fof(f3975,plain,
( ~ sQ190_spl
| h3(e12) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f276,f3973]) ).
fof(f3976,plain,
( ~ sQ168_spl
| h2(e13) = op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3138,f1535]) ).
fof(f3977,plain,
( ~ sQ168_spl
| ~ sQ271_spl
| e20 = op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1898,f3976]) ).
fof(f3978,plain,
( ~ sQ168_spl
| ~ sQ271_spl
| e20 = op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f272,f3977]) ).
fof(f3979,plain,
( ~ sQ168_spl
| ~ sQ271_spl
| ~ sQ269_spl
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1890,f3978]) ).
fof(f3980,plain,
( ~ sQ168_spl
| ~ sQ271_spl
| ~ sQ269_spl
| ~ sQ485_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f3622,f3979]) ).
fof(f3981,plain,
( ~ sQ168_spl
| ~ sQ271_spl
| ~ sQ269_spl
| ~ sQ485_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3980,f220]) ).
fof(f3982,plain,
( ~ sQ168_spl
| ~ sQ271_spl
| ~ sQ269_spl
| ~ sQ485_spl ),
inference(contradiction_clause,[status(thm)],[f3981]) ).
fof(f3983,plain,
( ~ sQ167_spl
| h2(e12) = op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f263,f1532]) ).
fof(f3984,plain,
( ~ sQ167_spl
| h2(e12) = op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f272,f3983]) ).
fof(f3985,plain,
( ~ sQ167_spl
| e23 != h2(e12) ),
inference(backward_demodulation,[status(thm)],[f3991,f3150]) ).
fof(f3986,plain,
( ~ sQ464_spl
| ~ sQ167_spl
| op2(h2(e12),e21) = e21 ),
inference(backward_demodulation,[status(thm)],[f3991,f2724]) ).
fof(f3989,plain,
( ~ sQ469_spl
| ~ sQ167_spl
| op2(e23,h2(e12)) = e23 ),
inference(backward_demodulation,[status(thm)],[f3991,f2747]) ).
fof(f3990,plain,
( sQ463_spl
| ~ sQ167_spl
| op2(e21,h2(e12)) != e21 ),
inference(backward_demodulation,[status(thm)],[f3991,f2721]) ).
fof(f3991,plain,
( ~ sQ167_spl
| h2(e12) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f272,f3984]) ).
fof(f4000,plain,
( sQ159_spl
| ~ sQ534_spl
| h1(e13) != h4(e12) ),
inference(forward_demodulation,[status(thm)],[f3629,f3229]) ).
fof(f4001,plain,
( sQ159_spl
| ~ sQ534_spl
| e23 != h4(e12) ),
inference(forward_demodulation,[status(thm)],[f3155,f4000]) ).
fof(f4002,plain,
( sQ159_spl
| ~ sQ534_spl
| ~ sQ213_spl
| ~ sQ543_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3967,f4001]) ).
fof(f4003,plain,
( sQ159_spl
| ~ sQ534_spl
| ~ sQ213_spl
| ~ sQ543_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4002]) ).
fof(f4004,plain,
( sQ159_spl
| ~ sQ534_spl
| ~ sQ213_spl
| ~ sQ543_spl ),
inference(contradiction_clause,[status(thm)],[f4003]) ).
fof(f4005,plain,
( sQ215_spl
| h4(e11) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f3126,f3183]) ).
fof(f4012,plain,
( ~ sQ126_spl
| e22 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f3304,f282]) ).
fof(f4024,plain,
( ~ sQ251_spl
| op2(e22,e21) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1813,f204]) ).
fof(f4027,plain,
( ~ sQ251_spl
| op2(e21,e23) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1813,f185]) ).
fof(f4029,plain,
( ~ sQ251_spl
| ~ sQ94_spl
| e22 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f1252,f4027]) ).
fof(f4032,plain,
( ~ sQ94_spl
| op2(e21,e22) != e22 ),
inference(forward_demodulation,[status(thm)],[f1252,f199]) ).
fof(f4033,plain,
( ~ sQ485_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3622,f196]) ).
fof(f4037,plain,
( ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1200,f3140]) ).
fof(f4038,plain,
~ sQ78_spl,
inference(contradiction_clause,[status(thm)],[f4037]) ).
fof(f4041,plain,
e21 != op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f3139,f178]) ).
fof(f4046,plain,
( ~ sQ316_spl
| ~ sQ118_spl
| op2(e22,e23) = e21 ),
inference(backward_demodulation,[status(thm)],[f1330,f2088]) ).
fof(f4047,plain,
( ~ sQ317_spl
| ~ sQ118_spl
| op2(e22,e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f1330,f2092]) ).
fof(f4048,plain,
( ~ sQ320_spl
| ~ sQ118_spl
| op2(e20,e22) = e20 ),
inference(backward_demodulation,[status(thm)],[f1330,f2105]) ).
fof(f4058,plain,
( ~ sQ485_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f3622,f168]) ).
fof(f4060,plain,
( ~ sQ123_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f3296,f1241,f1345]) ).
fof(f4066,plain,
( ~ sQ251_spl
| ~ sQ123_spl
| op2(e22,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f1346,f4024]) ).
fof(f4072,plain,
( ~ sQ251_spl
| ~ sQ123_spl
| op2(e22,e23) = e23 ),
inference(backward_demodulation,[status(thm)],[f1346,f1813]) ).
fof(f4079,plain,
( sQ147_spl
| ~ sQ76_spl
| h1(op1(e10,e13)) != e20 ),
inference(backward_demodulation,[status(thm)],[f1194,f3255]) ).
fof(f4084,plain,
( ~ sQ116_spl
| ~ sQ118_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1330,f1324]) ).
fof(f4085,plain,
( ~ sQ116_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4084,f219]) ).
fof(f4086,plain,
( ~ sQ116_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f4085]) ).
fof(f4089,plain,
( sQ192_spl
| h3(e11) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f3126,f3199]) ).
fof(f4092,plain,
e21 != op2(e21,e22),
inference(forward_demodulation,[status(thm)],[f3139,f176]) ).
fof(f4093,plain,
( sQ146_spl
| h1(e11) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f3126,f3257]) ).
fof(f4094,plain,
( sQ146_spl
| e21 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f3152,f4093]) ).
fof(f4095,plain,
( sQ146_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3139,f4094]) ).
fof(f4096,plain,
( sQ146_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4095]) ).
fof(f4097,plain,
sQ146_spl,
inference(contradiction_clause,[status(thm)],[f4096]) ).
fof(f4099,plain,
( sQ169_spl
| h2(e11) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f3126,f3215]) ).
fof(f4102,plain,
( sQ148_spl
| ~ sQ475_spl
| h1(e13) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3633,f3253]) ).
fof(f4103,plain,
( sQ148_spl
| ~ sQ475_spl
| e23 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3155,f4102]) ).
fof(f4104,plain,
( sQ148_spl
| ~ sQ475_spl
| ~ sQ485_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3622,f4103]) ).
fof(f4105,plain,
( sQ148_spl
| ~ sQ475_spl
| ~ sQ485_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4104]) ).
fof(f4106,plain,
( sQ148_spl
| ~ sQ475_spl
| ~ sQ485_spl ),
inference(contradiction_clause,[status(thm)],[f4105]) ).
fof(f4116,plain,
( ~ sQ167_spl
| ~ sQ84_spl
| e20 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4120,f3991]) ).
fof(f4120,plain,
( ~ sQ84_spl
| ~ sQ167_spl
| h2(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f3991,f1220]) ).
fof(f4132,plain,
( ~ sQ190_spl
| ~ sQ104_spl
| e20 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f4135,f3975]) ).
fof(f4135,plain,
( ~ sQ104_spl
| ~ sQ190_spl
| h3(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f3975,f1285]) ).
fof(f4137,plain,
( ~ sQ80_spl
| ~ sQ485_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f3622,f1207]) ).
fof(f4138,plain,
( ~ sQ80_spl
| ~ sQ485_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4137,f220]) ).
fof(f4139,plain,
( ~ sQ80_spl
| ~ sQ485_spl ),
inference(contradiction_clause,[status(thm)],[f4138]) ).
fof(f4141,plain,
( ~ sQ106_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f3365,f1978,f1290]) ).
fof(f4145,plain,
( ~ sQ97_spl
| e21 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f1262,f200]) ).
fof(f4153,plain,
( ~ sQ62_spl
| op1(e13,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f1116,f163]) ).
fof(f4161,plain,
( ~ sQ241_spl
| op1(e11,e13) != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f1771,f137]) ).
fof(f4169,plain,
( ~ sQ30_spl
| op1(e11,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f1012,f151]) ).
fof(f4174,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f960,f3127]) ).
fof(f4175,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f4174]) ).
fof(f4177,plain,
e11 != op1(e13,e12),
inference(forward_demodulation,[status(thm)],[f3126,f130]) ).
fof(f4178,plain,
( ~ sQ54_spl
| e12 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1090,f161]) ).
fof(f4180,plain,
( ~ sQ305_spl
| ~ sQ54_spl
| op1(e13,e12) = e11 ),
inference(backward_demodulation,[status(thm)],[f1090,f2042]) ).
fof(f4181,plain,
( ~ sQ306_spl
| ~ sQ54_spl
| op1(e12,e13) = e11 ),
inference(backward_demodulation,[status(thm)],[f1090,f2046]) ).
fof(f4182,plain,
( ~ sQ307_spl
| ~ sQ54_spl
| op1(e12,e11) = e13 ),
inference(backward_demodulation,[status(thm)],[f1090,f2050]) ).
fof(f4183,plain,
( ~ sQ310_spl
| ~ sQ54_spl
| op1(e10,e12) = e10 ),
inference(backward_demodulation,[status(thm)],[f1090,f2063]) ).
fof(f4186,plain,
( sQ203_spl
| ~ sQ54_spl
| h3(e12) != op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1090,f1645]) ).
fof(f4191,plain,
( ~ sQ54_spl
| op1(e11,e11) != e12 ),
inference(forward_demodulation,[status(thm)],[f1090,f126]) ).
fof(f4193,plain,
( ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f3130]) ).
fof(f4194,plain,
~ sQ50_spl,
inference(contradiction_clause,[status(thm)],[f4193]) ).
fof(f4209,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1090,f1084]) ).
fof(f4210,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4209,f213]) ).
fof(f4211,plain,
( ~ sQ52_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f4210]) ).
fof(f4217,plain,
( ~ sQ48_spl
| e10 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1071,f159]) ).
fof(f4222,plain,
e11 != op1(e11,e12),
inference(forward_demodulation,[status(thm)],[f3126,f128]) ).
fof(f4225,plain,
( ~ sQ20_spl
| op1(e11,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f980,f146]) ).
fof(f4227,plain,
( sQ195_spl
| ~ sQ20_spl
| h3(e10) != op2(h3(e11),h3(e11)) ),
inference(backward_demodulation,[status(thm)],[f980,f1621]) ).
fof(f4229,plain,
( ~ sQ20_spl
| e10 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f980,f125]) ).
fof(f4230,plain,
( ~ sQ20_spl
| e10 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f980,f149]) ).
fof(f4232,plain,
( ~ sQ456_spl
| ~ sQ20_spl
| op1(e10,e11) = e11 ),
inference(backward_demodulation,[status(thm)],[f980,f2688]) ).
fof(f4233,plain,
( ~ sQ459_spl
| ~ sQ20_spl
| op1(e10,e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f980,f2702]) ).
fof(f4234,plain,
( ~ sQ460_spl
| ~ sQ20_spl
| op1(e12,e10) = e12 ),
inference(backward_demodulation,[status(thm)],[f980,f2707]) ).
fof(f4235,plain,
( ~ sQ461_spl
| ~ sQ20_spl
| op1(e13,e10) = e13 ),
inference(backward_demodulation,[status(thm)],[f980,f2711]) ).
fof(f4236,plain,
( sQ455_spl
| ~ sQ20_spl
| op1(e11,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f980,f2685]) ).
fof(f4238,plain,
( ~ sQ37_spl
| op1(e12,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f1035,f152]) ).
fof(f4246,plain,
( ~ sQ40_spl
| op1(e12,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f1045,f153]) ).
fof(f4252,plain,
( ~ sQ16_spl
| e10 != op1(e12,e10) ),
inference(backward_demodulation,[status(thm)],[f967,f119]) ).
fof(f4253,plain,
( ~ sQ16_spl
| e10 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f967,f147]) ).
fof(f4257,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1045,f1051]) ).
fof(f4258,plain,
( ~ sQ42_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4257,f213]) ).
fof(f4259,plain,
( ~ sQ42_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f4258]) ).
fof(f4263,plain,
( sQ551_spl
| op2(e22,e20) != e20 ),
inference(forward_demodulation,[status(thm)],[f266,f3104]) ).
fof(f4265,plain,
( sQ413_spl
| e21 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f3139,f2504]) ).
fof(f4266,plain,
( sQ413_spl
| ~ sQ97_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1262,f4265]) ).
fof(f4267,plain,
( sQ413_spl
| ~ sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4266]) ).
fof(f4268,plain,
( sQ413_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f4267]) ).
fof(f4269,plain,
( ~ sQ536_spl
| op2(e20,e23) = e21 ),
inference(forward_demodulation,[status(thm)],[f3151,f3035]) ).
fof(f4270,plain,
( ~ sQ536_spl
| ~ sQ76_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1194,f4269]) ).
fof(f4271,plain,
( ~ sQ536_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4270,f218]) ).
fof(f4272,plain,
( ~ sQ536_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f4271]) ).
fof(f4273,plain,
( ~ sQ538_spl
| op2(e23,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f3151,f3043]) ).
fof(f4279,plain,
( sQ545_spl
| op1(e12,e10) != e10 ),
inference(forward_demodulation,[status(thm)],[f263,f3076]) ).
fof(f4280,plain,
( sQ403_spl
| e11 != op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f3126,f2462]) ).
fof(f4281,plain,
( sQ239_spl
| ~ sQ346_spl
| ~ sQ241_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f3789,f1763]) ).
fof(f4282,plain,
( sQ239_spl
| ~ sQ346_spl
| ~ sQ241_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4281]) ).
fof(f4283,plain,
( sQ239_spl
| ~ sQ346_spl
| ~ sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f4282]) ).
fof(f4284,plain,
( ~ sQ527_spl
| op1(e10,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f3138,f2996]) ).
fof(f4285,plain,
( ~ sQ527_spl
| ~ sQ12_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f954,f4284]) ).
fof(f4286,plain,
( ~ sQ527_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4285,f212]) ).
fof(f4287,plain,
( ~ sQ527_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4286]) ).
fof(f4288,plain,
( ~ sQ529_spl
| op1(e13,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f3138,f3004]) ).
fof(f4294,plain,
( sQ507_spl
| ~ sQ76_spl
| op2(e23,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1194,f2910]) ).
fof(f4295,plain,
( sQ540_spl
| op2(e20,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f3151,f3054]) ).
fof(f4296,plain,
( sQ540_spl
| ~ sQ76_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1194,f4295]) ).
fof(f4297,plain,
( sQ540_spl
| ~ sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4296]) ).
fof(f4298,plain,
( sQ540_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f4297]) ).
fof(f4299,plain,
( sQ537_spl
| op2(e23,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f3151,f3040]) ).
fof(f4306,plain,
( sQ498_spl
| ~ sQ12_spl
| op1(e13,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f954,f2871]) ).
fof(f4308,plain,
( sQ531_spl
| op1(e10,e13) != e10 ),
inference(forward_demodulation,[status(thm)],[f3138,f3015]) ).
fof(f4309,plain,
( sQ531_spl
| ~ sQ12_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f954,f4308]) ).
fof(f4310,plain,
( sQ531_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4309]) ).
fof(f4311,plain,
( sQ531_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4310]) ).
fof(f4312,plain,
( sQ528_spl
| op1(e13,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f3138,f3001]) ).
fof(f4322,plain,
( ~ sQ505_spl
| ~ sQ76_spl
| op2(e21,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f1194,f2901]) ).
fof(f4323,plain,
( ~ sQ506_spl
| ~ sQ76_spl
| op2(e22,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f1194,f2905]) ).
fof(f4326,plain,
( sQ541_spl
| op2(e21,e23) != e21 ),
inference(forward_demodulation,[status(thm)],[f3151,f3058]) ).
fof(f4330,plain,
( ~ sQ496_spl
| ~ sQ12_spl
| op1(e11,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f954,f2862]) ).
fof(f4331,plain,
( ~ sQ497_spl
| ~ sQ12_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f954,f2866]) ).
fof(f4332,plain,
( ~ sQ497_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4331,f3131]) ).
fof(f4333,plain,
( ~ sQ497_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4332]) ).
fof(f4335,plain,
( sQ329_spl
| ~ sQ12_spl
| e10 != op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f954,f2144]) ).
fof(f4336,plain,
( sQ329_spl
| ~ sQ12_spl
| ~ sQ48_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1071,f4335]) ).
fof(f4337,plain,
( sQ329_spl
| ~ sQ12_spl
| ~ sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4336]) ).
fof(f4338,plain,
( sQ329_spl
| ~ sQ12_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f4337]) ).
fof(f4339,plain,
( sQ532_spl
| op1(e11,e13) != e11 ),
inference(forward_demodulation,[status(thm)],[f3138,f3019]) ).
fof(f4346,plain,
( sQ542_spl
| op2(e22,e23) != e22 ),
inference(forward_demodulation,[status(thm)],[f3151,f3062]) ).
fof(f4347,plain,
( sQ533_spl
| op1(e12,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f3138,f3023]) ).
fof(f4355,plain,
( ~ sQ322_spl
| ~ sQ538_spl
| op2(e22,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f4273,f2113]) ).
fof(f4356,plain,
( ~ sQ323_spl
| ~ sQ538_spl
| op2(e23,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f4273,f2117]) ).
fof(f4357,plain,
( ~ sQ323_spl
| ~ sQ538_spl
| sQ507_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4356,f4294]) ).
fof(f4358,plain,
( ~ sQ323_spl
| ~ sQ538_spl
| sQ507_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f4357]) ).
fof(f4360,plain,
( ~ sQ435_spl
| ~ sQ319_spl
| op2(e23,op2(e23,e21)) = e23 ),
inference(backward_demodulation,[status(thm)],[f2101,f2597]) ).
fof(f4361,plain,
( ~ sQ434_spl
| ~ sQ319_spl
| op2(e22,op2(e23,e21)) = e22 ),
inference(backward_demodulation,[status(thm)],[f2101,f2593]) ).
fof(f4362,plain,
( ~ sQ432_spl
| ~ sQ319_spl
| op2(e20,op2(e23,e21)) = e20 ),
inference(backward_demodulation,[status(thm)],[f2101,f2585]) ).
fof(f4364,plain,
( sQ428_spl
| ~ sQ319_spl
| op2(e21,op2(e23,e21)) != e23 ),
inference(backward_demodulation,[status(thm)],[f2101,f2568]) ).
fof(f4365,plain,
( sQ433_spl
| ~ sQ319_spl
| op2(e21,op2(e23,e21)) != e21 ),
inference(backward_demodulation,[status(thm)],[f2101,f2590]) ).
fof(f4368,plain,
( sQ483_spl
| ~ sQ505_spl
| ~ sQ76_spl
| op2(e21,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f4322,f2807]) ).
fof(f4369,plain,
( sQ483_spl
| ~ sQ505_spl
| ~ sQ76_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4322,f4368]) ).
fof(f4370,plain,
( sQ483_spl
| ~ sQ505_spl
| ~ sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4369]) ).
fof(f4371,plain,
( sQ483_spl
| ~ sQ505_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f4370]) ).
fof(f4372,plain,
( ~ sQ312_spl
| ~ sQ529_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f4288,f2071]) ).
fof(f4373,plain,
( ~ sQ312_spl
| ~ sQ529_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4372,f3131]) ).
fof(f4374,plain,
( ~ sQ312_spl
| ~ sQ529_spl ),
inference(contradiction_clause,[status(thm)],[f4373]) ).
fof(f4379,plain,
( sQ420_spl
| ~ sQ309_spl
| op1(op1(e13,e11),e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f2059,f2533]) ).
fof(f4381,plain,
( sQ424_spl
| ~ sQ309_spl
| op1(e11,op1(e13,e11)) != e11 ),
inference(backward_demodulation,[status(thm)],[f2059,f2551]) ).
fof(f4383,plain,
( sQ472_spl
| ~ sQ496_spl
| ~ sQ12_spl
| op1(e11,e11) != e10 ),
inference(forward_demodulation,[status(thm)],[f4330,f2761]) ).
fof(f4384,plain,
( sQ473_spl
| ~ sQ496_spl
| ~ sQ12_spl
| op1(e11,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f4330,f2765]) ).
fof(f4385,plain,
( sQ473_spl
| ~ sQ496_spl
| ~ sQ12_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f4330,f4384]) ).
fof(f4386,plain,
( sQ473_spl
| ~ sQ496_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4385]) ).
fof(f4387,plain,
( sQ473_spl
| ~ sQ496_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4386]) ).
fof(f4406,plain,
( ~ sQ278_spl
| ~ sQ84_spl
| ~ sQ167_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f4120,f1928]) ).
fof(f4407,plain,
( ~ sQ278_spl
| ~ sQ84_spl
| ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4406,f219]) ).
fof(f4408,plain,
( ~ sQ278_spl
| ~ sQ84_spl
| ~ sQ167_spl ),
inference(contradiction_clause,[status(thm)],[f4407]) ).
fof(f4416,plain,
( sQ266_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3153,f1878]) ).
fof(f4417,plain,
( sQ266_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4416]) ).
fof(f4418,plain,
sQ266_spl,
inference(contradiction_clause,[status(thm)],[f4417]) ).
fof(f4422,plain,
( sQ261_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3152,f1857]) ).
fof(f4423,plain,
( sQ261_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4422]) ).
fof(f4424,plain,
sQ261_spl,
inference(contradiction_clause,[status(thm)],[f4423]) ).
fof(f4426,plain,
( ~ sQ258_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f3153,f1843]) ).
fof(f4427,plain,
( ~ sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4426,f219]) ).
fof(f4428,plain,
~ sQ258_spl,
inference(contradiction_clause,[status(thm)],[f4427]) ).
fof(f4442,plain,
( ~ sQ386_spl
| ~ sQ515_spl
| op1(e12,e12) = e12 ),
inference(backward_demodulation,[status(thm)],[f3908,f2389]) ).
fof(f4443,plain,
( ~ sQ385_spl
| ~ sQ515_spl
| op1(e11,e12) = e11 ),
inference(backward_demodulation,[status(thm)],[f3908,f2385]) ).
fof(f4444,plain,
( ~ sQ384_spl
| ~ sQ515_spl
| op1(e10,e12) = e10 ),
inference(backward_demodulation,[status(thm)],[f3908,f2381]) ).
fof(f4446,plain,
( ~ sQ516_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f3909,f1092,f2947]) ).
fof(f4448,plain,
( ~ sQ450_spl
| ~ sQ520_spl
| op2(e20,e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f3915,f2663]) ).
fof(f4451,plain,
( sQ393_spl
| ~ sQ520_spl
| e20 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f3915,f2420]) ).
fof(f4453,plain,
( sQ446_spl
| ~ sQ520_spl
| op2(e21,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f3915,f2646]) ).
fof(f4454,plain,
( sQ451_spl
| ~ sQ520_spl
| op2(e21,e20) != e21 ),
inference(backward_demodulation,[status(thm)],[f3915,f2668]) ).
fof(f4456,plain,
( ~ sQ523_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f3916,f1222,f2978]) ).
fof(f4457,plain,
( ~ sQ524_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3917,f1277,f2982]) ).
fof(f4458,plain,
( ~ sQ525_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f3918,f1332,f2986]) ).
fof(f4470,plain,
( ~ sQ464_spl
| ~ sQ167_spl
| ~ sQ84_spl
| op2(e20,e21) = e21 ),
inference(forward_demodulation,[status(thm)],[f4120,f3986]) ).
fof(f4471,plain,
( ~ sQ464_spl
| ~ sQ167_spl
| ~ sQ84_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f3151,f4470]) ).
fof(f4472,plain,
( ~ sQ464_spl
| ~ sQ167_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4471,f222]) ).
fof(f4473,plain,
( ~ sQ464_spl
| ~ sQ167_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f4472]) ).
fof(f4478,plain,
( ~ sQ213_spl
| ~ sQ302_spl
| e22 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f2030,f3963]) ).
fof(f4488,plain,
( sQ543_spl
| op2(e23,e23) != e23 ),
inference(forward_demodulation,[status(thm)],[f3151,f3066]) ).
fof(f4490,plain,
( sQ534_spl
| op1(e13,e13) != e13 ),
inference(forward_demodulation,[status(thm)],[f3138,f3027]) ).
fof(f4491,plain,
( ~ sQ544_spl
| op1(e10,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f263,f3071]) ).
fof(f4492,plain,
( ~ sQ544_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f3126,f4491]) ).
fof(f4493,plain,
( ~ sQ544_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4492,f212]) ).
fof(f4494,plain,
~ sQ544_spl,
inference(contradiction_clause,[status(thm)],[f4493]) ).
fof(f4495,plain,
( ~ sQ553_spl
| op2(e21,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f266,f3114]) ).
fof(f4504,plain,
( ~ sQ554_spl
| op2(e22,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f266,f3118]) ).
fof(f4505,plain,
( ~ sQ248_spl
| ~ sQ555_spl
| op2(e23,e23) = e22 ),
inference(backward_demodulation,[status(thm)],[f4506,f1800]) ).
fof(f4506,plain,
( ~ sQ555_spl
| op2(e23,e22) = e23 ),
inference(forward_demodulation,[status(thm)],[f266,f3122]) ).
fof(f4507,plain,
( ~ sQ547_spl
| op1(e11,e12) = e11 ),
inference(forward_demodulation,[status(thm)],[f263,f3086]) ).
fof(f4511,plain,
( sQ363_spl
| ~ sQ548_spl
| op1(e12,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f4516,f2289]) ).
fof(f4516,plain,
( ~ sQ548_spl
| op1(e12,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f263,f3090]) ).
fof(f4518,plain,
( sQ237_spl
| ~ sQ549_spl
| op1(e13,e13) != e12 ),
inference(backward_demodulation,[status(thm)],[f4520,f1755]) ).
fof(f4520,plain,
( ~ sQ549_spl
| op1(e13,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f263,f3094]) ).
fof(f4524,plain,
( ~ sQ110_spl
| sQ542_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1304,f4346]) ).
fof(f4525,plain,
( ~ sQ110_spl
| sQ542_spl ),
inference(contradiction_clause,[status(thm)],[f4524]) ).
fof(f4529,plain,
( sQ215_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3171,f4005]) ).
fof(f4530,plain,
sQ215_spl,
inference(contradiction_clause,[status(thm)],[f4529]) ).
fof(f4534,plain,
( ~ sQ294_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f3944,f1336,f1995]) ).
fof(f4537,plain,
( ~ sQ214_spl
| h4(e13) = op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f280,f3951]) ).
fof(f4555,plain,
( ~ sQ86_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f3407,f1927,f1225]) ).
fof(f4566,plain,
( ~ sQ120_spl
| ~ sQ555_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f4506,f1337]) ).
fof(f4567,plain,
( ~ sQ120_spl
| ~ sQ555_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4566,f220]) ).
fof(f4568,plain,
( ~ sQ120_spl
| ~ sQ555_spl ),
inference(contradiction_clause,[status(thm)],[f4567]) ).
fof(f4571,plain,
( ~ sQ282_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3935,f1271,f1944]) ).
fof(f4573,plain,
( ~ sQ282_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1945,f3167]) ).
fof(f4577,plain,
( ~ sQ191_spl
| h3(e13) = op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f276,f3968]) ).
fof(f4586,plain,
( ~ sQ191_spl
| ~ sQ285_spl
| h3(e13) = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1958,f4577]) ).
fof(f4592,plain,
( ~ sQ74_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f3139,f1187]) ).
fof(f4593,plain,
( ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4592,f221]) ).
fof(f4594,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f4593]) ).
fof(f4598,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f954,f963]) ).
fof(f4599,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4598,f214]) ).
fof(f4600,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4599]) ).
fof(f4602,plain,
( sQ106_spl
| ~ sQ554_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4504,f1292]) ).
fof(f4603,plain,
( sQ106_spl
| ~ sQ554_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4602]) ).
fof(f4604,plain,
( sQ106_spl
| ~ sQ554_spl ),
inference(contradiction_clause,[status(thm)],[f4603]) ).
fof(f4605,plain,
( sQ59_spl
| ~ sQ549_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f4520,f1107]) ).
fof(f4606,plain,
( sQ59_spl
| ~ sQ549_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4605]) ).
fof(f4607,plain,
( sQ59_spl
| ~ sQ549_spl ),
inference(contradiction_clause,[status(thm)],[f4606]) ).
fof(f4610,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3478,f975,f1079]) ).
fof(f4618,plain,
( ~ sQ126_spl
| ~ sQ124_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1350,f4012]) ).
fof(f4619,plain,
( ~ sQ126_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4618,f219]) ).
fof(f4620,plain,
( ~ sQ126_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f4619]) ).
fof(f4630,plain,
( ~ sQ22_spl
| ~ sQ514_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f3907,f986]) ).
fof(f4631,plain,
( ~ sQ22_spl
| ~ sQ514_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4630,f215]) ).
fof(f4632,plain,
( ~ sQ22_spl
| ~ sQ514_spl ),
inference(contradiction_clause,[status(thm)],[f4631]) ).
fof(f4639,plain,
( ~ sQ12_spl
| e10 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f954,f134]) ).
fof(f4640,plain,
( ~ sQ12_spl
| ~ sQ309_spl
| e10 != op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f2059,f4639]) ).
fof(f4667,plain,
( ~ sQ29_spl
| ~ sQ309_spl
| op1(e13,e11) = e11 ),
inference(forward_demodulation,[status(thm)],[f2059,f1009]) ).
fof(f4672,plain,
( ~ sQ310_spl
| ~ sQ29_spl
| ~ sQ309_spl
| op1(e10,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f4667,f2063]) ).
fof(f4673,plain,
( ~ sQ310_spl
| ~ sQ29_spl
| ~ sQ309_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f3138,f4672]) ).
fof(f4674,plain,
( ~ sQ310_spl
| ~ sQ29_spl
| ~ sQ309_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4673,f214]) ).
fof(f4675,plain,
( ~ sQ310_spl
| ~ sQ29_spl
| ~ sQ309_spl ),
inference(contradiction_clause,[status(thm)],[f4674]) ).
fof(f4683,plain,
( ~ sQ515_spl
| e12 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f3908,f155]) ).
fof(f4684,plain,
( ~ sQ515_spl
| ~ sQ548_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f4516,f4683]) ).
fof(f4685,plain,
( ~ sQ515_spl
| ~ sQ548_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4684]) ).
fof(f4686,plain,
( ~ sQ515_spl
| ~ sQ548_spl ),
inference(contradiction_clause,[status(thm)],[f4685]) ).
fof(f4688,plain,
( ~ sQ43_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3522,f1027,f1053]) ).
fof(f4689,plain,
( ~ sQ43_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3523,f1001,f1053]) ).
fof(f4698,plain,
( ~ sQ10_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f3126,f947]) ).
fof(f4699,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4698,f215]) ).
fof(f4700,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f4699]) ).
fof(f4701,plain,
( sQ551_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f4263,f1258,f3102]) ).
fof(f4703,plain,
( ~ sQ413_spl
| e21 = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f3139,f2503]) ).
fof(f4704,plain,
( ~ sQ413_spl
| sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4703,f1263]) ).
fof(f4705,plain,
( ~ sQ413_spl
| sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f4704]) ).
fof(f4710,plain,
( ~ sQ12_spl
| e10 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f954,f135]) ).
fof(f4724,plain,
( ~ sQ16_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f4252,f1018,f966]) ).
fof(f4725,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f4253,f992,f966]) ).
fof(f4733,plain,
( ~ sQ477_spl
| ~ sQ16_spl
| op1(e11,e10) = e11 ),
inference(backward_demodulation,[status(thm)],[f967,f2781]) ).
fof(f4740,plain,
( ~ sQ38_spl
| op1(e11,e11) != e12 ),
inference(forward_demodulation,[status(thm)],[f1038,f125]) ).
fof(f4741,plain,
( sQ528_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f4312,f1073,f2999]) ).
fof(f4752,plain,
( sQ156_spl
| ~ sQ49_spl
| h1(e11) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f1074,f3235]) ).
fof(f4753,plain,
( sQ156_spl
| ~ sQ49_spl
| e21 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f3152,f4752]) ).
fof(f4757,plain,
( sQ538_spl
| op2(e23,e21) != e20 ),
inference(forward_demodulation,[status(thm)],[f3151,f3044]) ).
fof(f4758,plain,
( ~ sQ435_spl
| ~ sQ319_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f4360,f2116,f2100,f2596]) ).
fof(f4759,plain,
( sQ529_spl
| op1(e13,e11) != e10 ),
inference(forward_demodulation,[status(thm)],[f3138,f3005]) ).
fof(f4765,plain,
( sQ496_spl
| ~ sQ12_spl
| op1(e11,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f954,f2863]) ).
fof(f4767,plain,
( ~ sQ498_spl
| ~ sQ531_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f3659,f1079,f3013,f2869]) ).
fof(f4772,plain,
( ~ sQ493_spl
| ~ sQ329_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f3666,f2129,f2142,f2847]) ).
fof(f4780,plain,
( sQ485_spl
| e23 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3151,f2816]) ).
fof(f4781,plain,
( ~ sQ475_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f3633,f975,f2772]) ).
fof(f4785,plain,
( ~ sQ473_spl
| ~ sQ475_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3694,f1073,f2772,f2763]) ).
fof(f4788,plain,
( ~ sQ102_spl
| ~ sQ191_spl
| ~ sQ285_spl
| h3(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f4586,f1278]) ).
fof(f4789,plain,
( ~ sQ102_spl
| ~ sQ191_spl
| ~ sQ285_spl
| sQ291_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4788,f1984]) ).
fof(f4790,plain,
( ~ sQ102_spl
| ~ sQ191_spl
| ~ sQ285_spl
| sQ291_spl ),
inference(contradiction_clause,[status(thm)],[f4789]) ).
fof(f4791,plain,
( ~ sQ72_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f3139,f1181]) ).
fof(f4792,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4791,f218]) ).
fof(f4793,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f4792]) ).
fof(f4794,plain,
( sQ204_spl
| ~ sQ56_spl
| h3(e10) != op2(h3(e13),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1097,f1648]) ).
fof(f4795,plain,
( sQ204_spl
| ~ sQ56_spl
| e22 != op2(h3(e13),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f276,f4794]) ).
fof(f4802,plain,
( ~ sQ270_spl
| op2(e21,e20) != e20 ),
inference(backward_demodulation,[status(thm)],[f1894,f3159]) ).
fof(f4807,plain,
( ~ sQ277_spl
| e22 = op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1924,f3156]) ).
fof(f4808,plain,
( ~ sQ277_spl
| ~ sQ270_spl
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1894,f4807]) ).
fof(f4809,plain,
( ~ sQ277_spl
| ~ sQ270_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4808,f3145]) ).
fof(f4810,plain,
( ~ sQ277_spl
| ~ sQ270_spl ),
inference(contradiction_clause,[status(thm)],[f4809]) ).
fof(f4816,plain,
( ~ sQ519_spl
| op2(e21,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f3139,f2961]) ).
fof(f4817,plain,
( ~ sQ519_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4816,f3145]) ).
fof(f4818,plain,
~ sQ519_spl,
inference(contradiction_clause,[status(thm)],[f4817]) ).
fof(f4819,plain,
( sQ523_spl
| op2(e21,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f3139,f2980]) ).
fof(f4820,plain,
( sQ523_spl
| ~ sQ167_spl
| h2(e12) != e21 ),
inference(forward_demodulation,[status(thm)],[f3991,f4819]) ).
fof(f4823,plain,
( ~ sQ214_spl
| ~ sQ301_spl
| h4(e13) = op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f2026,f4537]) ).
fof(f4835,plain,
( sQ520_spl
| op2(e21,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f3139,f2966]) ).
fof(f4836,plain,
( sQ383_spl
| ~ sQ38_spl
| op1(e11,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f1038,f2378]) ).
fof(f4838,plain,
( sQ511_spl
| op1(e11,e12) != e10 ),
inference(forward_demodulation,[status(thm)],[f3126,f2927]) ).
fof(f4839,plain,
( ~ sQ509_spl
| op1(e10,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f3126,f2918]) ).
fof(f4840,plain,
( ~ sQ509_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f3138,f4839]) ).
fof(f4841,plain,
( ~ sQ509_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4840,f217]) ).
fof(f4842,plain,
~ sQ509_spl,
inference(contradiction_clause,[status(thm)],[f4841]) ).
fof(f4843,plain,
( ~ sQ510_spl
| op1(e11,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f3126,f2922]) ).
fof(f4844,plain,
( ~ sQ542_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3619,f1303,f3060]) ).
fof(f4845,plain,
( ~ sQ248_spl
| ~ sQ361_spl
| ~ sQ542_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f3755,f1355,f3060,f2278,f1799]) ).
fof(f4852,plain,
( ~ sQ360_spl
| ~ sQ542_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f3762,f1290,f3060,f2274]) ).
fof(f4856,plain,
( ~ sQ359_spl
| ~ sQ542_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3766,f1235,f3060,f2270]) ).
fof(f4868,plain,
( ~ sQ215_spl
| h4(e11) = op2(h4(e10),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f3126,f1684]) ).
fof(f4872,plain,
( ~ sQ99_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f3364,f1215,f1267]) ).
fof(f4873,plain,
( ~ sQ99_spl
| e23 != h3(e12) ),
inference(backward_demodulation,[status(thm)],[f1268,f3166]) ).
fof(f4874,plain,
( ~ sQ415_spl
| ~ sQ99_spl
| op2(e21,e23) = e21 ),
inference(backward_demodulation,[status(thm)],[f1268,f2511]) ).
fof(f4876,plain,
( sQ414_spl
| ~ sQ99_spl
| op2(e20,e23) != e20 ),
inference(backward_demodulation,[status(thm)],[f1268,f2508]) ).
fof(f4879,plain,
( ~ sQ411_spl
| ~ sQ99_spl
| op2(e23,e20) = e22 ),
inference(backward_demodulation,[status(thm)],[f1268,f2494]) ).
fof(f4886,plain,
( sQ107_spl
| ~ sQ190_spl
| h3(e12) != e23 ),
inference(forward_demodulation,[status(thm)],[f3975,f1295]) ).
fof(f4891,plain,
( ~ sQ298_spl
| e21 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f2013,f282]) ).
fof(f4900,plain,
( ~ sQ360_spl
| ~ sQ251_spl
| op2(e22,op2(e23,e22)) = e22 ),
inference(forward_demodulation,[status(thm)],[f1813,f2275]) ).
fof(f4901,plain,
( ~ sQ360_spl
| ~ sQ251_spl
| ~ sQ354_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f3772,f4900]) ).
fof(f4902,plain,
( ~ sQ360_spl
| ~ sQ251_spl
| ~ sQ354_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4901,f223]) ).
fof(f4903,plain,
( ~ sQ360_spl
| ~ sQ251_spl
| ~ sQ354_spl ),
inference(contradiction_clause,[status(thm)],[f4902]) ).
fof(f4904,plain,
( ~ sQ99_spl
| e23 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1268,f202]) ).
fof(f4906,plain,
( ~ sQ75_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f3139,f1190]) ).
fof(f4907,plain,
( ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4906,f222]) ).
fof(f4908,plain,
~ sQ75_spl,
inference(contradiction_clause,[status(thm)],[f4907]) ).
fof(f4911,plain,
( sQ371_spl
| ~ sQ190_spl
| op2(e22,h3(e12)) != e22 ),
inference(forward_demodulation,[status(thm)],[f3975,f2325]) ).
fof(f4913,plain,
( ~ sQ372_spl
| ~ sQ190_spl
| op2(h3(e12),e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f3975,f2328]) ).
fof(f4918,plain,
( ~ sQ238_spl
| ~ sQ56_spl
| op1(e10,e13) = e12 ),
inference(forward_demodulation,[status(thm)],[f1097,f1758]) ).
fof(f4919,plain,
( ~ sQ238_spl
| ~ sQ56_spl
| ~ sQ12_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f954,f4918]) ).
fof(f4920,plain,
( ~ sQ238_spl
| ~ sQ56_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4919,f213]) ).
fof(f4921,plain,
( ~ sQ238_spl
| ~ sQ56_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4920]) ).
fof(f4924,plain,
( sQ237_spl
| ~ sQ58_spl
| op1(e13,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f1103,f1755]) ).
fof(f4929,plain,
( ~ sQ96_spl
| ~ sQ99_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1268,f1259]) ).
fof(f4930,plain,
( ~ sQ96_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4929,f220]) ).
fof(f4931,plain,
( ~ sQ96_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f4930]) ).
fof(f4932,plain,
( sQ514_spl
| op1(e11,e11) != e11 ),
inference(forward_demodulation,[status(thm)],[f3126,f2941]) ).
fof(f4933,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1203,f3146]) ).
fof(f4934,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f4933]) ).
fof(f4936,plain,
( sQ137_spl
| ~ sQ125_spl
| op2(e23,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f1353,f1431]) ).
fof(f4943,plain,
( ~ sQ138_spl
| ~ sQ125_spl
| op2(e21,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f1353,f1434]) ).
fof(f4945,plain,
( ~ sQ351_spl
| ~ sQ345_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f2210,f2236]) ).
fof(f4946,plain,
( ~ sQ351_spl
| ~ sQ345_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4945,f217]) ).
fof(f4947,plain,
( ~ sQ351_spl
| ~ sQ345_spl ),
inference(contradiction_clause,[status(thm)],[f4946]) ).
fof(f4952,plain,
( sQ532_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4339,f1008,f3017]) ).
fof(f4953,plain,
( ~ sQ38_spl
| e12 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f1038,f155]) ).
fof(f4955,plain,
( ~ sQ38_spl
| e12 != op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f1038,f127]) ).
fof(f4958,plain,
( ~ sQ387_spl
| ~ sQ38_spl
| op1(e13,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f1038,f2393]) ).
fof(f4959,plain,
( ~ sQ387_spl
| ~ sQ38_spl
| ~ sQ58_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1103,f4958]) ).
fof(f4960,plain,
( ~ sQ387_spl
| ~ sQ38_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4959,f217]) ).
fof(f4961,plain,
( ~ sQ387_spl
| ~ sQ38_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f4960]) ).
fof(f4962,plain,
( sQ515_spl
| op1(e12,e11) != e12 ),
inference(forward_demodulation,[status(thm)],[f3126,f2945]) ).
fof(f4963,plain,
( ~ sQ11_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f3126,f950]) ).
fof(f4964,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4963,f216]) ).
fof(f4965,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f4964]) ).
fof(f4975,plain,
( ~ sQ32_spl
| sQ545_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f4279]) ).
fof(f4976,plain,
( ~ sQ32_spl
| sQ545_spl ),
inference(contradiction_clause,[status(thm)],[f4975]) ).
fof(f4980,plain,
( sQ339_spl
| ~ sQ112_spl
| op2(e20,e23) != e20 ),
inference(backward_demodulation,[status(thm)],[f1311,f2186]) ).
fof(f4986,plain,
( sQ335_spl
| ~ sQ112_spl
| op2(e23,e20) != e20 ),
inference(backward_demodulation,[status(thm)],[f1311,f2169]) ).
fof(f4988,plain,
( sQ524_spl
| op2(e22,e21) != e22 ),
inference(forward_demodulation,[status(thm)],[f3139,f2984]) ).
fof(f4989,plain,
( ~ sQ551_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f3611,f1258,f3102]) ).
fof(f4990,plain,
( sQ498_spl
| ~ sQ12_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f4306,f1079,f953,f2869]) ).
fof(f5021,plain,
( sQ428_spl
| ~ sQ138_spl
| ~ sQ125_spl
| op2(e21,e23) != e23 ),
inference(forward_demodulation,[status(thm)],[f4943,f2568]) ).
fof(f5022,plain,
( sQ428_spl
| ~ sQ138_spl
| ~ sQ125_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4943,f5021]) ).
fof(f5023,plain,
( sQ428_spl
| ~ sQ138_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5022]) ).
fof(f5024,plain,
( sQ428_spl
| ~ sQ138_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f5023]) ).
fof(f5033,plain,
( sQ496_spl
| ~ sQ12_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4765,f969,f953,f2861]) ).
fof(f5035,plain,
( ~ sQ528_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3634,f1073,f2999]) ).
fof(f5036,plain,
( sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3163,f4089]) ).
fof(f5037,plain,
sQ192_spl,
inference(contradiction_clause,[status(thm)],[f5036]) ).
fof(f5039,plain,
( ~ sQ191_spl
| ~ sQ291_spl
| e22 = op2(e22,h3(e11)) ),
inference(backward_demodulation,[status(thm)],[f5048,f4577]) ).
fof(f5041,plain,
( sQ202_spl
| ~ sQ291_spl
| ~ sQ191_spl
| h3(op1(e13,e10)) != op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f5048,f3195]) ).
fof(f5048,plain,
( ~ sQ291_spl
| ~ sQ191_spl
| e22 = h3(e13) ),
inference(forward_demodulation,[status(thm)],[f4577,f3848]) ).
fof(f5049,plain,
( ~ sQ492_spl
| ~ sQ12_spl
| op1(e10,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f954,f2844]) ).
fof(f5050,plain,
( ~ sQ492_spl
| ~ sQ12_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f263,f5049]) ).
fof(f5051,plain,
( ~ sQ492_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5050,f217]) ).
fof(f5052,plain,
( ~ sQ492_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f5051]) ).
fof(f5053,plain,
( sQ475_spl
| e13 != op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f3138,f2774]) ).
fof(f5054,plain,
( ~ sQ485_spl
| ~ sQ81_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1210,f3622]) ).
fof(f5055,plain,
( ~ sQ485_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5054,f222]) ).
fof(f5056,plain,
( ~ sQ485_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f5055]) ).
fof(f5057,plain,
( ~ sQ485_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f4058,f1319,f2814]) ).
fof(f5058,plain,
( ~ sQ485_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f4033,f1254,f2814]) ).
fof(f5060,plain,
( ~ sQ483_spl
| ~ sQ485_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f3678,f1313,f2814,f2805]) ).
fof(f5061,plain,
( sQ147_spl
| ~ sQ76_spl
| ~ sQ12_spl
| h1(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f954,f4079]) ).
fof(f5062,plain,
( sQ147_spl
| ~ sQ76_spl
| ~ sQ12_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f268,f5061]) ).
fof(f5063,plain,
( sQ147_spl
| ~ sQ76_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5062]) ).
fof(f5064,plain,
( sQ147_spl
| ~ sQ76_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f5063]) ).
fof(f5065,plain,
( ~ sQ85_spl
| ~ sQ167_spl
| h2(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f3991,f1223]) ).
fof(f5066,plain,
( ~ sQ85_spl
| ~ sQ167_spl
| sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5065,f1912]) ).
fof(f5067,plain,
( ~ sQ85_spl
| ~ sQ167_spl
| sQ274_spl ),
inference(contradiction_clause,[status(thm)],[f5066]) ).
fof(f5069,plain,
( ~ sQ88_spl
| sQ520_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1233,f4835]) ).
fof(f5070,plain,
( ~ sQ88_spl
| sQ520_spl ),
inference(contradiction_clause,[status(thm)],[f5069]) ).
fof(f5074,plain,
( ~ sQ391_spl
| ~ sQ100_spl
| op2(e20,e21) = e22 ),
inference(backward_demodulation,[status(thm)],[f1272,f2410]) ).
fof(f5075,plain,
( ~ sQ394_spl
| ~ sQ100_spl
| op2(e20,e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f1272,f2423]) ).
fof(f5076,plain,
( ~ sQ395_spl
| ~ sQ100_spl
| op2(e21,e20) = e21 ),
inference(backward_demodulation,[status(thm)],[f1272,f2427]) ).
fof(f5077,plain,
( ~ sQ396_spl
| ~ sQ100_spl
| op2(e22,e20) = e22 ),
inference(backward_demodulation,[status(thm)],[f1272,f2431]) ).
fof(f5080,plain,
( ~ sQ251_spl
| ~ sQ100_spl
| e20 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f1272,f4024]) ).
fof(f5087,plain,
( sQ537_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f4299,f1313,f3038]) ).
fof(f5088,plain,
( ~ sQ550_spl
| op2(e20,e22) = e20 ),
inference(forward_demodulation,[status(thm)],[f266,f3099]) ).
fof(f5089,plain,
( ~ sQ550_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f3139,f5088]) ).
fof(f5090,plain,
( ~ sQ550_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5089,f218]) ).
fof(f5091,plain,
~ sQ550_spl,
inference(contradiction_clause,[status(thm)],[f5090]) ).
fof(f5092,plain,
( ~ sQ507_spl
| ~ sQ540_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f3647,f1319,f3052,f2908]) ).
fof(f5094,plain,
( sQ390_spl
| ~ sQ100_spl
| op2(e20,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f1272,f2407]) ).
fof(f5095,plain,
( sQ390_spl
| ~ sQ100_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3139,f5094]) ).
fof(f5096,plain,
( sQ390_spl
| ~ sQ100_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5095]) ).
fof(f5097,plain,
( sQ390_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f5096]) ).
fof(f5098,plain,
( sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3156,f4099]) ).
fof(f5099,plain,
sQ169_spl,
inference(contradiction_clause,[status(thm)],[f5098]) ).
fof(f5100,plain,
( ~ sQ126_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3304,f2029,f1355]) ).
fof(f5101,plain,
( ~ sQ126_spl
| ~ sQ125_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1353,f4012]) ).
fof(f5102,plain,
( ~ sQ126_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5101,f221]) ).
fof(f5103,plain,
( ~ sQ126_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f5102]) ).
fof(f5108,plain,
( sQ354_spl
| ~ sQ111_spl
| op2(e22,e23) != e23 ),
inference(forward_demodulation,[status(thm)],[f1307,f2250]) ).
fof(f5109,plain,
( sQ354_spl
| ~ sQ111_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1307,f5108]) ).
fof(f5110,plain,
( sQ354_spl
| ~ sQ111_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5109]) ).
fof(f5111,plain,
( sQ354_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f5110]) ).
fof(f5112,plain,
( sQ377_spl
| ~ sQ190_spl
| op2(e23,h3(e12)) != e23 ),
inference(forward_demodulation,[status(thm)],[f3975,f2352]) ).
fof(f5113,plain,
( sQ376_spl
| ~ sQ190_spl
| op2(e21,h3(e12)) != e21 ),
inference(forward_demodulation,[status(thm)],[f3975,f2347]) ).
fof(f5116,plain,
( ~ sQ215_spl
| h4(e11) = op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f280,f4868]) ).
fof(f5140,plain,
( sQ533_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f4347,f1063,f3021]) ).
fof(f5141,plain,
( ~ sQ532_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f3631,f1008,f3017]) ).
fof(f5142,plain,
( ~ sQ59_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3464,f1079,f1105]) ).
fof(f5153,plain,
( ~ sQ53_spl
| op1(e12,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f1087,f127]) ).
fof(f5155,plain,
( sQ309_spl
| ~ sQ53_spl
| op1(e11,e13) != e11 ),
inference(backward_demodulation,[status(thm)],[f1087,f2060]) ).
fof(f5156,plain,
( ~ sQ53_spl
| e11 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f1087,f162]) ).
fof(f5163,plain,
( ~ sQ168_spl
| h2(e13) = op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f272,f3976]) ).
fof(f5164,plain,
( ~ sQ38_spl
| sQ515_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1038,f4962]) ).
fof(f5165,plain,
( ~ sQ38_spl
| sQ515_spl ),
inference(contradiction_clause,[status(thm)],[f5164]) ).
fof(f5166,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f4740,f985,f1037]) ).
fof(f5167,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f4953,f1050,f1037]) ).
fof(f5169,plain,
( ~ sQ38_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f4955,f1089,f1037]) ).
fof(f5171,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4178,f1102,f1089]) ).
fof(f5172,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f1087,f1090]) ).
fof(f5173,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5172,f215]) ).
fof(f5174,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f5173]) ).
fof(f5175,plain,
( ~ sQ545_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f3612,f1018,f3074]) ).
fof(f5198,plain,
( sQ505_spl
| ~ sQ76_spl
| op2(e21,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f1194,f2902]) ).
fof(f5201,plain,
( ~ sQ76_spl
| e20 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1194,f182]) ).
fof(f5202,plain,
( sQ138_spl
| op2(h4(e12),e23) != e23 ),
inference(forward_demodulation,[status(thm)],[f282,f1435]) ).
fof(f5205,plain,
( sQ371_spl
| ~ sQ190_spl
| h3(e11) != e22 ),
inference(backward_demodulation,[status(thm)],[f3163,f4911]) ).
fof(f5208,plain,
( ~ sQ33_spl
| sQ403_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f4280]) ).
fof(f5209,plain,
( ~ sQ33_spl
| sQ403_spl ),
inference(contradiction_clause,[status(thm)],[f5208]) ).
fof(f5213,plain,
( sQ202_spl
| ~ sQ291_spl
| ~ sQ191_spl
| ~ sQ190_spl
| h3(op1(e13,e10)) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3975,f5041]) ).
fof(f5223,plain,
( sQ486_spl
| ~ sQ485_spl
| op2(e20,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f3622,f2820]) ).
fof(f5224,plain,
( sQ486_spl
| ~ sQ485_spl
| ~ sQ76_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1194,f5223]) ).
fof(f5225,plain,
( sQ486_spl
| ~ sQ485_spl
| ~ sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5224]) ).
fof(f5226,plain,
( sQ486_spl
| ~ sQ485_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f5225]) ).
fof(f5227,plain,
( sQ482_spl
| ~ sQ485_spl
| op2(e23,e21) != e20 ),
inference(forward_demodulation,[status(thm)],[f3622,f2803]) ).
fof(f5266,plain,
( ~ sQ8_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f3126,f941]) ).
fof(f5267,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5266,f212]) ).
fof(f5268,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f5267]) ).
fof(f5269,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1265,f3144]) ).
fof(f5270,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f5269]) ).
fof(f5272,plain,
( sQ483_spl
| ~ sQ485_spl
| op2(e23,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f3622,f2807]) ).
fof(f5273,plain,
( ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1317,f3143]) ).
fof(f5274,plain,
~ sQ114_spl,
inference(contradiction_clause,[status(thm)],[f5273]) ).
fof(f5276,plain,
( ~ sQ87_spl
| ~ sQ167_spl
| e23 = h2(e12) ),
inference(forward_demodulation,[status(thm)],[f3991,f3404]) ).
fof(f5277,plain,
( ~ sQ87_spl
| ~ sQ167_spl
| sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5276,f1598]) ).
fof(f5278,plain,
( ~ sQ87_spl
| ~ sQ167_spl
| sQ188_spl ),
inference(contradiction_clause,[status(thm)],[f5277]) ).
fof(f5280,plain,
( sQ387_spl
| ~ sQ36_spl
| op1(e13,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1032,f2394]) ).
fof(f5286,plain,
( ~ sQ36_spl
| e10 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f1032,f155]) ).
fof(f5293,plain,
( ~ sQ21_spl
| sQ514_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f4932]) ).
fof(f5294,plain,
( ~ sQ21_spl
| sQ514_spl ),
inference(contradiction_clause,[status(thm)],[f5293]) ).
fof(f5295,plain,
( sQ393_spl
| ~ sQ520_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f4451,f1271,f2964,f2418]) ).
fof(f5312,plain,
( ~ sQ97_spl
| e21 != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f1262,f169]) ).
fof(f5315,plain,
( sQ409_spl
| ~ sQ97_spl
| op2(e22,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f1262,f2487]) ).
fof(f5316,plain,
( sQ416_spl
| ~ sQ97_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1262,f2516]) ).
fof(f5319,plain,
( ~ sQ415_spl
| ~ sQ97_spl
| op2(e21,e21) = e21 ),
inference(backward_demodulation,[status(thm)],[f1262,f2511]) ).
fof(f5320,plain,
( ~ sQ97_spl
| e21 != h3(e12) ),
inference(backward_demodulation,[status(thm)],[f1262,f3166]) ).
fof(f5321,plain,
( ~ sQ97_spl
| e21 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f1262,f202]) ).
fof(f5325,plain,
( ~ sQ190_spl
| ~ sQ104_spl
| e20 = h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3975,f4132]) ).
fof(f5326,plain,
( ~ sQ190_spl
| ~ sQ104_spl
| sQ282_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5325,f1946]) ).
fof(f5327,plain,
( ~ sQ190_spl
| ~ sQ104_spl
| sQ282_spl ),
inference(contradiction_clause,[status(thm)],[f5326]) ).
fof(f5329,plain,
( sQ339_spl
| ~ sQ112_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f4980,f1193,f1310,f2184]) ).
fof(f5330,plain,
( sQ335_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f4986,f1310,f2167]) ).
fof(f5333,plain,
( sQ507_spl
| ~ sQ76_spl
| op2(e23,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1194,f2910]) ).
fof(f5334,plain,
( ~ sQ375_spl
| ~ sQ190_spl
| op2(e20,h3(e12)) = e20 ),
inference(forward_demodulation,[status(thm)],[f3975,f2342]) ).
fof(f5335,plain,
( ~ sQ537_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f3623,f1313,f3038]) ).
fof(f5342,plain,
( ~ sQ489_spl
| ~ sQ485_spl
| op2(e23,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f3622,f2831]) ).
fof(f5343,plain,
( ~ sQ489_spl
| ~ sQ485_spl
| h4(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f282,f5342]) ).
fof(f5344,plain,
( ~ sQ489_spl
| ~ sQ485_spl
| sQ234_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5343,f1744]) ).
fof(f5345,plain,
( ~ sQ489_spl
| ~ sQ485_spl
| sQ234_spl ),
inference(contradiction_clause,[status(thm)],[f5344]) ).
fof(f5346,plain,
( sQ523_spl
| ~ sQ167_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f4820,f1910,f1531,f2978]) ).
fof(f5347,plain,
( sQ463_spl
| ~ sQ167_spl
| h2(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f3156,f3990]) ).
fof(f5359,plain,
( ~ sQ127_spl
| op2(e23,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f5366,f3174]) ).
fof(f5366,plain,
( ~ sQ127_spl
| e23 = h4(e12) ),
inference(forward_demodulation,[status(thm)],[f282,f3280]) ).
fof(f5367,plain,
( sQ126_spl
| h4(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f282,f1357]) ).
fof(f5374,plain,
( sQ543_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f4488,f1358,f3064]) ).
fof(f5381,plain,
( ~ sQ127_spl
| op2(e23,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f5366,f3172]) ).
fof(f5382,plain,
( ~ sQ76_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1194,f183]) ).
fof(f5385,plain,
( ~ sQ123_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1346,f5381]) ).
fof(f5386,plain,
( ~ sQ123_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f5385]) ).
fof(f5388,plain,
( ~ sQ320_spl
| ~ sQ118_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f4048,f1180,f1329,f2104]) ).
fof(f5393,plain,
( ~ sQ90_spl
| ~ sQ520_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f3915,f1239]) ).
fof(f5394,plain,
( ~ sQ90_spl
| ~ sQ520_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5393,f219]) ).
fof(f5395,plain,
( ~ sQ90_spl
| ~ sQ520_spl ),
inference(contradiction_clause,[status(thm)],[f5394]) ).
fof(f5399,plain,
( ~ sQ290_spl
| e22 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f1979,f3164]) ).
fof(f5401,plain,
( ~ sQ375_spl
| ~ sQ190_spl
| ~ sQ290_spl
| op2(e20,e22) = e20 ),
inference(backward_demodulation,[status(thm)],[f1979,f5334]) ).
fof(f5406,plain,
( ~ sQ290_spl
| h3(e11) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f1979,f3163]) ).
fof(f5409,plain,
( sQ377_spl
| ~ sQ190_spl
| ~ sQ290_spl
| op2(e23,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1979,f5112]) ).
fof(f5412,plain,
( ~ sQ190_spl
| ~ sQ290_spl
| e22 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f1979,f3975]) ).
fof(f5421,plain,
( sQ549_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3960,f1105,f3093]) ).
fof(f5422,plain,
( ~ sQ547_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f4507,f995,f3085]) ).
fof(f5423,plain,
( ~ sQ386_spl
| ~ sQ515_spl
| sQ548_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4442,f3959]) ).
fof(f5424,plain,
( ~ sQ386_spl
| ~ sQ515_spl
| sQ548_spl ),
inference(contradiction_clause,[status(thm)],[f5423]) ).
fof(f5425,plain,
( ~ sQ533_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f3630,f1063,f3021]) ).
fof(f5427,plain,
( ~ sQ19_spl
| sQ475_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f976,f5053]) ).
fof(f5428,plain,
( ~ sQ19_spl
| sQ475_spl ),
inference(contradiction_clause,[status(thm)],[f5427]) ).
fof(f5429,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f4191,f985,f1089]) ).
fof(f5430,plain,
( sQ203_spl
| ~ sQ54_spl
| ~ sQ290_spl
| e22 != op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1979,f4186]) ).
fof(f5431,plain,
( sQ203_spl
| ~ sQ54_spl
| ~ sQ290_spl
| ~ sQ291_spl
| ~ sQ191_spl
| e22 != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f5048,f5430]) ).
fof(f5432,plain,
( sQ203_spl
| ~ sQ54_spl
| ~ sQ290_spl
| ~ sQ291_spl
| ~ sQ191_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f5039,f5431]) ).
fof(f5433,plain,
( sQ203_spl
| ~ sQ54_spl
| ~ sQ290_spl
| ~ sQ291_spl
| ~ sQ191_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5432]) ).
fof(f5434,plain,
( sQ203_spl
| ~ sQ54_spl
| ~ sQ290_spl
| ~ sQ291_spl
| ~ sQ191_spl ),
inference(contradiction_clause,[status(thm)],[f5433]) ).
fof(f5436,plain,
( sQ180_spl
| ~ sQ54_spl
| h2(e12) != op2(h2(e13),h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f1090,f1572]) ).
fof(f5438,plain,
( sQ312_spl
| ~ sQ54_spl
| op1(e12,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f1090,f2072]) ).
fof(f5443,plain,
( sQ309_spl
| ~ sQ54_spl
| op1(e11,e13) != e12 ),
inference(backward_demodulation,[status(thm)],[f1090,f2060]) ).
fof(f5451,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1100,f4177]) ).
fof(f5452,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f5451]) ).
fof(f5458,plain,
( ~ sQ48_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4217,f1096,f1070]) ).
fof(f5488,plain,
( ~ sQ24_spl
| sQ511_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f993,f4838]) ).
fof(f5489,plain,
( ~ sQ24_spl
| sQ511_spl ),
inference(contradiction_clause,[status(thm)],[f5488]) ).
fof(f5502,plain,
( ~ sQ350_spl
| ~ sQ533_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3784,f4222]) ).
fof(f5503,plain,
( ~ sQ350_spl
| ~ sQ533_spl ),
inference(contradiction_clause,[status(thm)],[f5502]) ).
fof(f5504,plain,
( ~ sQ332_spl
| ~ sQ48_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f1071,f2155]) ).
fof(f5505,plain,
( ~ sQ332_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5504,f3131]) ).
fof(f5506,plain,
( ~ sQ332_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f5505]) ).
fof(f5507,plain,
( ~ sQ331_spl
| ~ sQ48_spl
| op1(e11,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f1071,f2151]) ).
fof(f5508,plain,
( ~ sQ330_spl
| ~ sQ48_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f1071,f2147]) ).
fof(f5509,plain,
( ~ sQ330_spl
| ~ sQ48_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f263,f5508]) ).
fof(f5510,plain,
( ~ sQ330_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5509,f213]) ).
fof(f5511,plain,
( ~ sQ330_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f5510]) ).
fof(f5512,plain,
( ~ sQ327_spl
| ~ sQ48_spl
| op1(e10,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f1071,f2134]) ).
fof(f5513,plain,
( ~ sQ327_spl
| ~ sQ48_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f263,f5512]) ).
fof(f5514,plain,
( ~ sQ327_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5513,f217]) ).
fof(f5515,plain,
( ~ sQ327_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f5514]) ).
fof(f5516,plain,
( ~ sQ317_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4047,f3149]) ).
fof(f5517,plain,
( ~ sQ317_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f5516]) ).
fof(f5520,plain,
( ~ sQ355_spl
| ~ sQ251_spl
| op2(op2(e23,e22),e22) = e23 ),
inference(backward_demodulation,[status(thm)],[f1813,f2253]) ).
fof(f5524,plain,
( ~ sQ76_spl
| ~ sQ251_spl
| e20 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f1813,f5382]) ).
fof(f5527,plain,
( ~ sQ356_spl
| ~ sQ251_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3770,f1799,f1812,f2256]) ).
fof(f5530,plain,
( ~ sQ251_spl
| ~ sQ123_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f4066,f1280,f1345,f1812]) ).
fof(f5532,plain,
( ~ sQ251_spl
| ~ sQ123_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f4072,f1306,f1345,f1812]) ).
fof(f5549,plain,
( sQ493_spl
| ~ sQ12_spl
| op1(e10,e13) != e10 ),
inference(backward_demodulation,[status(thm)],[f954,f2849]) ).
fof(f5550,plain,
( sQ497_spl
| ~ sQ12_spl
| op1(e12,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f954,f2867]) ).
fof(f5552,plain,
( ~ sQ12_spl
| e10 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f954,f136]) ).
fof(f5558,plain,
( ~ sQ12_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4639,f1005,f953]) ).
fof(f5566,plain,
( ~ sQ329_spl
| ~ sQ12_spl
| e10 = op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f954,f2143]) ).
fof(f5567,plain,
( sQ471_spl
| ~ sQ331_spl
| ~ sQ48_spl
| op1(e11,e11) != e10 ),
inference(forward_demodulation,[status(thm)],[f5507,f2757]) ).
fof(f5573,plain,
( ~ sQ391_spl
| ~ sQ100_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f5074,f1173,f1271,f2409]) ).
fof(f5574,plain,
( ~ sQ394_spl
| ~ sQ100_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f5075,f1154,f1271,f2422]) ).
fof(f5575,plain,
( ~ sQ395_spl
| ~ sQ100_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f5076,f1209,f1271,f2426]) ).
fof(f5576,plain,
( ~ sQ396_spl
| ~ sQ100_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f5077,f1264,f1271,f2430]) ).
fof(f5585,plain,
( ~ sQ251_spl
| ~ sQ100_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f5080,f1336,f1271,f1812]) ).
fof(f5601,plain,
( ~ sQ167_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f3985,f1596,f1531]) ).
fof(f5617,plain,
( ~ sQ39_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f1041,f3136]) ).
fof(f5618,plain,
( ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5617]) ).
fof(f5619,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f5618]) ).
fof(f5630,plain,
( ~ sQ130_spl
| ~ sQ61_spl
| op1(e11,e13) = e13 ),
inference(backward_demodulation,[status(thm)],[f1113,f1402]) ).
fof(f5634,plain,
( ~ sQ339_spl
| ~ sQ76_spl
| e20 = op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f1194,f2185]) ).
fof(f5636,plain,
( sQ538_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f4757,f1323,f3042]) ).
fof(f5640,plain,
( sQ463_spl
| ~ sQ167_spl
| ~ sQ273_spl ),
inference(split_clause,[status(thm)],[f5347,f1906,f1531,f2719]) ).
fof(f5643,plain,
( ~ sQ234_spl
| op2(e22,e23) != e23 ),
inference(forward_demodulation,[status(thm)],[f1743,f3175]) ).
fof(f5657,plain,
( ~ sQ234_spl
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1743,f282]) ).
fof(f5658,plain,
( ~ sQ234_spl
| ~ sQ124_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1350,f5657]) ).
fof(f5659,plain,
( ~ sQ234_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5658,f220]) ).
fof(f5660,plain,
( ~ sQ234_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f5659]) ).
fof(f5662,plain,
( sQ141_spl
| ~ sQ543_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f3616,f1193,f3064,f1445]) ).
fof(f5663,plain,
( ~ sQ543_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f3618,f1358,f3064]) ).
fof(f5666,plain,
( ~ sQ213_spl
| ~ sQ543_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f3967,f1742,f3064,f1677]) ).
fof(f5668,plain,
( ~ sQ339_spl
| ~ sQ76_spl
| e20 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f5634,f206]) ).
fof(f5669,plain,
( sQ157_spl
| ~ sQ54_spl
| h1(e12) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1090,f3233]) ).
fof(f5670,plain,
( sQ157_spl
| ~ sQ54_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3153,f5669]) ).
fof(f5672,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3441,f1105,f1118]) ).
fof(f5675,plain,
( ~ sQ63_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f3445,f1014,f1118]) ).
fof(f5677,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1113,f1119]) ).
fof(f5678,plain,
( ~ sQ63_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5677,f216]) ).
fof(f5679,plain,
( ~ sQ63_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f5678]) ).
fof(f5680,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f4238,f1021,f1034]) ).
fof(f5683,plain,
( ~ sQ385_spl
| ~ sQ37_spl
| op1(e11,e11) = e11 ),
inference(backward_demodulation,[status(thm)],[f1035,f2385]) ).
fof(f5684,plain,
( ~ sQ384_spl
| ~ sQ37_spl
| op1(e10,e11) = e10 ),
inference(backward_demodulation,[status(thm)],[f1035,f2381]) ).
fof(f5685,plain,
( ~ sQ381_spl
| ~ sQ37_spl
| op1(e11,e11) = e12 ),
inference(backward_demodulation,[status(thm)],[f1035,f2368]) ).
fof(f5687,plain,
( ~ sQ37_spl
| e11 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f1035,f155]) ).
fof(f5693,plain,
( ~ sQ20_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f4225,f966,f979]) ).
fof(f5695,plain,
( sQ195_spl
| ~ sQ20_spl
| e22 != op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f276,f4227]) ).
fof(f5698,plain,
( ~ sQ456_spl
| ~ sQ20_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4232,f930,f979,f2687]) ).
fof(f5699,plain,
( ~ sQ459_spl
| ~ sQ20_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4233,f914,f979,f2701]) ).
fof(f5700,plain,
( ~ sQ460_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4234,f3131]) ).
fof(f5701,plain,
( ~ sQ460_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f5700]) ).
fof(f5702,plain,
( ~ sQ461_spl
| ~ sQ20_spl
| ~ sQ48_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1071,f4235]) ).
fof(f5703,plain,
( ~ sQ461_spl
| ~ sQ20_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5702,f214]) ).
fof(f5704,plain,
( ~ sQ461_spl
| ~ sQ20_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f5703]) ).
fof(f5705,plain,
( ~ sQ20_spl
| sQ471_spl
| ~ sQ331_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f5567]) ).
fof(f5706,plain,
( ~ sQ20_spl
| sQ471_spl
| ~ sQ331_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f5705]) ).
fof(f5707,plain,
( sQ193_spl
| ~ sQ12_spl
| h3(e10) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f954,f3198]) ).
fof(f5708,plain,
( sQ193_spl
| ~ sQ12_spl
| e22 != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f276,f5707]) ).
fof(f5711,plain,
( ~ sQ514_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f3907,f982,f2939]) ).
fof(f5719,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f996,f4222]) ).
fof(f5720,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f5719]) ).
fof(f5722,plain,
( ~ sQ45_spl
| op1(e12,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f1061,f154]) ).
fof(f5723,plain,
( ~ sQ45_spl
| op1(e12,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f1061,f157]) ).
fof(f5725,plain,
( ~ sQ45_spl
| op1(e11,e13) != e11 ),
inference(backward_demodulation,[status(thm)],[f1061,f137]) ).
fof(f5727,plain,
( sQ351_spl
| ~ sQ45_spl
| op1(e12,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f1061,f2237]) ).
fof(f5729,plain,
( ~ sQ347_spl
| ~ sQ45_spl
| op1(e11,e13) = e12 ),
inference(backward_demodulation,[status(thm)],[f1061,f2218]) ).
fof(f5739,plain,
( sQ399_spl
| ~ sQ33_spl
| op1(e12,e11) != e10 ),
inference(backward_demodulation,[status(thm)],[f1022,f2445]) ).
fof(f5740,plain,
( sQ406_spl
| ~ sQ33_spl
| op1(e12,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f1022,f2474]) ).
fof(f5745,plain,
( ~ sQ403_spl
| e11 = op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f3126,f2461]) ).
fof(f5746,plain,
( ~ sQ541_spl
| op2(e21,e20) != e21 ),
inference(backward_demodulation,[status(thm)],[f3620,f196]) ).
fof(f5748,plain,
( sQ151_spl
| ~ sQ541_spl
| h1(op1(e11,e13)) != e21 ),
inference(backward_demodulation,[status(thm)],[f3620,f3246]) ).
fof(f5749,plain,
( ~ sQ429_spl
| ~ sQ541_spl
| op2(e21,e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f3620,f2571]) ).
fof(f5750,plain,
( ~ sQ428_spl
| ~ sQ541_spl
| op2(e21,e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f3620,f2567]) ).
fof(f5754,plain,
( ~ sQ434_spl
| ~ sQ541_spl
| op2(e22,e21) = e22 ),
inference(backward_demodulation,[status(thm)],[f3620,f2593]) ).
fof(f5756,plain,
( ~ sQ315_spl
| ~ sQ323_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2117,f2084]) ).
fof(f5757,plain,
( ~ sQ315_spl
| ~ sQ323_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5756,f222]) ).
fof(f5758,plain,
( ~ sQ315_spl
| ~ sQ323_spl ),
inference(contradiction_clause,[status(thm)],[f5757]) ).
fof(f5764,plain,
( sQ325_spl
| ~ sQ48_spl
| op1(e13,e10) != e10 ),
inference(forward_demodulation,[status(thm)],[f1071,f2127]) ).
fof(f5765,plain,
( sQ325_spl
| ~ sQ48_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1071,f5764]) ).
fof(f5766,plain,
( sQ325_spl
| ~ sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5765]) ).
fof(f5767,plain,
( sQ325_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f5766]) ).
fof(f5775,plain,
( ~ sQ76_spl
| ~ sQ251_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f5524,f1336,f1812,f1193]) ).
fof(f5782,plain,
( sQ493_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f5549,f953,f2847]) ).
fof(f5783,plain,
( sQ497_spl
| ~ sQ12_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f5550,f1024,f953,f2865]) ).
fof(f5802,plain,
( ~ sQ248_spl
| ~ sQ120_spl
| op2(e20,e23) = e22 ),
inference(forward_demodulation,[status(thm)],[f1337,f1800]) ).
fof(f5803,plain,
( ~ sQ248_spl
| ~ sQ120_spl
| ~ sQ76_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1194,f5802]) ).
fof(f5804,plain,
( ~ sQ248_spl
| ~ sQ120_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5803,f219]) ).
fof(f5805,plain,
( ~ sQ248_spl
| ~ sQ120_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f5804]) ).
fof(f5809,plain,
( ~ sQ45_spl
| op1(e12,e11) != e11 ),
inference(forward_demodulation,[status(thm)],[f1061,f156]) ).
fof(f5813,plain,
( sQ464_spl
| ~ sQ167_spl
| op2(h2(e12),e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f3991,f2725]) ).
fof(f5815,plain,
( sQ507_spl
| ~ sQ76_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f5333,f1319,f1193,f2908]) ).
fof(f5818,plain,
( ~ sQ190_spl
| ~ sQ105_spl
| h3(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f1288,f3975]) ).
fof(f5819,plain,
( ~ sQ190_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5818,f3940]) ).
fof(f5820,plain,
( ~ sQ190_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f5819]) ).
fof(f5828,plain,
( sQ488_spl
| ~ sQ83_spl
| op2(e22,e23) != e22 ),
inference(backward_demodulation,[status(thm)],[f1216,f2828]) ).
fof(f5829,plain,
( sQ489_spl
| ~ sQ83_spl
| op2(e23,e23) != e23 ),
inference(backward_demodulation,[status(thm)],[f1216,f2832]) ).
fof(f5833,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f989,f3137]) ).
fof(f5834,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f5833]) ).
fof(f5837,plain,
( sQ317_spl
| ~ sQ118_spl
| op2(e22,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f1330,f2093]) ).
fof(f5842,plain,
( ~ sQ118_spl
| e22 != h4(e12) ),
inference(backward_demodulation,[status(thm)],[f1330,f3173]) ).
fof(f5848,plain,
( ~ sQ123_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f3295,f1319,f1345]) ).
fof(f5852,plain,
( ~ sQ111_spl
| h3(e12) != e23 ),
inference(backward_demodulation,[status(thm)],[f1307,f3164]) ).
fof(f5855,plain,
( ~ sQ117_spl
| ~ sQ118_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1330,f1327]) ).
fof(f5856,plain,
( ~ sQ117_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5855,f221]) ).
fof(f5857,plain,
( ~ sQ117_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f5856]) ).
fof(f5860,plain,
( ~ sQ375_spl
| ~ sQ190_spl
| ~ sQ290_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f5401,f1180,f1978,f1604,f2341]) ).
fof(f5865,plain,
( sQ377_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f5409,f1345,f1978,f1604,f2350]) ).
fof(f5874,plain,
( ~ sQ290_spl
| h3(e11) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f1979,f3163]) ).
fof(f5880,plain,
( ~ sQ94_spl
| ~ sQ541_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f3620,f1252]) ).
fof(f5881,plain,
( ~ sQ94_spl
| ~ sQ541_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5880,f221]) ).
fof(f5882,plain,
( ~ sQ94_spl
| ~ sQ541_spl ),
inference(contradiction_clause,[status(thm)],[f5881]) ).
fof(f5883,plain,
( ~ sQ251_spl
| ~ sQ94_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f4029,f1342,f1251,f1812]) ).
fof(f5884,plain,
( sQ137_spl
| op2(e23,h4(e12)) != e23 ),
inference(backward_demodulation,[status(thm)],[f282,f1431]) ).
fof(f5886,plain,
( ~ sQ463_spl
| ~ sQ167_spl
| op2(e21,h2(e12)) = e21 ),
inference(forward_demodulation,[status(thm)],[f3991,f2720]) ).
fof(f5887,plain,
( ~ sQ463_spl
| ~ sQ167_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f3156,f5886]) ).
fof(f5891,plain,
( ~ sQ48_spl
| e10 != op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f1071,f158]) ).
fof(f5898,plain,
( sQ310_spl
| ~ sQ55_spl
| op1(e10,e13) != e10 ),
inference(backward_demodulation,[status(thm)],[f1093,f2064]) ).
fof(f5911,plain,
( sQ383_spl
| ~ sQ38_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f4836,f998,f1037,f2376]) ).
fof(f5913,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3447,f1053,f1066]) ).
fof(f5918,plain,
( sQ241_spl
| ~ sQ47_spl
| e13 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1067,f1772]) ).
fof(f5926,plain,
( ~ sQ30_spl
| op1(e11,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f1012,f150]) ).
fof(f5927,plain,
( sQ419_spl
| ~ sQ30_spl
| op1(e11,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f1012,f2529]) ).
fof(f5930,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f4169,f998,f1011]) ).
fof(f5934,plain,
( sQ309_spl
| ~ sQ53_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f5155,f1008,f1086,f2058]) ).
fof(f5935,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f5156,f1112,f1086]) ).
fof(f5938,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f1093,f1087]) ).
fof(f5939,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5938,f216]) ).
fof(f5940,plain,
( ~ sQ53_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f5939]) ).
fof(f5941,plain,
( ~ sQ47_spl
| e13 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f1067,f139]) ).
fof(f5956,plain,
( ~ sQ36_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f5286,f1044,f1031]) ).
fof(f5958,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1038,f1032]) ).
fof(f5959,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5958,f213]) ).
fof(f5960,plain,
( ~ sQ36_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f5959]) ).
fof(f5984,plain,
( ~ sQ130_spl
| ~ sQ62_spl
| op1(e12,e13) = e13 ),
inference(backward_demodulation,[status(thm)],[f1116,f1402]) ).
fof(f5988,plain,
( sQ129_spl
| ~ sQ62_spl
| op1(e13,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f1116,f1399]) ).
fof(f6010,plain,
( sQ406_spl
| ~ sQ33_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f5740,f1037,f1021,f2472]) ).
fof(f6016,plain,
( sQ409_spl
| ~ sQ97_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f5315,f1271,f1261,f2485]) ).
fof(f6017,plain,
( sQ416_spl
| ~ sQ97_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f5316,f1277,f1261,f2514]) ).
fof(f6019,plain,
( ~ sQ415_spl
| ~ sQ97_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f5319,f1222,f1261,f2510]) ).
fof(f6020,plain,
( ~ sQ97_spl
| ~ sQ286_spl ),
inference(split_clause,[status(thm)],[f5320,f1961,f1261]) ).
fof(f6030,plain,
( sQ476_spl
| ~ sQ19_spl
| op1(e10,e13) != e10 ),
inference(backward_demodulation,[status(thm)],[f976,f2778]) ).
fof(f6038,plain,
( sQ477_spl
| ~ sQ19_spl
| op1(e11,e13) != e11 ),
inference(backward_demodulation,[status(thm)],[f976,f2782]) ).
fof(f6042,plain,
( ~ sQ495_spl
| ~ sQ12_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f954,f2858]) ).
fof(f6043,plain,
( ~ sQ495_spl
| ~ sQ12_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f263,f6042]) ).
fof(f6044,plain,
( ~ sQ495_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6043,f213]) ).
fof(f6045,plain,
( ~ sQ495_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f6044]) ).
fof(f6067,plain,
( sQ355_spl
| ~ sQ251_spl
| op2(op2(e23,e22),e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1813,f2254]) ).
fof(f6085,plain,
( ~ sQ450_spl
| ~ sQ520_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f4448,f1154,f2964,f2662]) ).
fof(f6090,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1340,f4041]) ).
fof(f6091,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f6090]) ).
fof(f6093,plain,
( sQ372_spl
| ~ sQ190_spl
| op2(h3(e12),e22) != e22 ),
inference(forward_demodulation,[status(thm)],[f3975,f2329]) ).
fof(f6096,plain,
( sQ488_spl
| ~ sQ83_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f5828,f1303,f1215,f2826]) ).
fof(f6097,plain,
( sQ489_spl
| ~ sQ83_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f5829,f1358,f1215,f2830]) ).
fof(f6098,plain,
( ~ sQ38_spl
| e12 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f1038,f156]) ).
fof(f6100,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f4710,f1057,f953]) ).
fof(f6124,plain,
( sQ126_spl
| ~ sQ302_spl ),
inference(split_clause,[status(thm)],[f5367,f2029,f1355]) ).
fof(f6125,plain,
( ~ sQ501_spl
| ~ sQ76_spl
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f1194,f2883]) ).
fof(f6126,plain,
( ~ sQ501_spl
| ~ sQ76_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f266,f6125]) ).
fof(f6127,plain,
( ~ sQ501_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6126,f223]) ).
fof(f6128,plain,
( ~ sQ501_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f6127]) ).
fof(f6129,plain,
( sQ375_spl
| ~ sQ190_spl
| op2(e20,h3(e12)) != e20 ),
inference(forward_demodulation,[status(thm)],[f3975,f2343]) ).
fof(f6130,plain,
( sQ483_spl
| ~ sQ485_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f5272,f1313,f2814,f2805]) ).
fof(f6131,plain,
( sQ482_spl
| ~ sQ485_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f5227,f1323,f2814,f2801]) ).
fof(f6132,plain,
( sQ137_spl
| ~ sQ543_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f3617,f1358,f3064,f1429]) ).
fof(f6155,plain,
( sQ170_spl
| ~ sQ12_spl
| h2(e10) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f954,f3214]) ).
fof(f6156,plain,
( sQ170_spl
| ~ sQ12_spl
| e21 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f272,f6155]) ).
fof(f6158,plain,
( ~ sQ107_spl
| ~ sQ190_spl
| e23 = h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3975,f3355]) ).
fof(f6159,plain,
( ~ sQ107_spl
| ~ sQ190_spl
| sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6158,f1671]) ).
fof(f6160,plain,
( ~ sQ107_spl
| ~ sQ190_spl
| sQ211_spl ),
inference(contradiction_clause,[status(thm)],[f6159]) ).
fof(f6176,plain,
( ~ sQ76_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f5201,f1245,f1193]) ).
fof(f6177,plain,
( ~ sQ289_spl
| sQ371_spl
| ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1975,f5205]) ).
fof(f6178,plain,
( ~ sQ289_spl
| sQ371_spl
| ~ sQ190_spl ),
inference(contradiction_clause,[status(thm)],[f6177]) ).
fof(f6179,plain,
( ~ sQ234_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f5643,f1306,f1742]) ).
fof(f6180,plain,
( ~ sQ234_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f5657,f1358,f1742]) ).
fof(f6182,plain,
( ~ sQ377_spl
| ~ sQ190_spl
| op2(e23,h3(e12)) = e23 ),
inference(forward_demodulation,[status(thm)],[f3975,f2351]) ).
fof(f6185,plain,
( ~ sQ538_spl
| op2(e22,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f4273,f175]) ).
fof(f6186,plain,
( sQ321_spl
| ~ sQ538_spl
| op2(e21,e20) != e21 ),
inference(backward_demodulation,[status(thm)],[f4273,f2110]) ).
fof(f6189,plain,
( sQ317_spl
| ~ sQ538_spl
| op2(e20,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f4273,f2093]) ).
fof(f6194,plain,
( sQ529_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f4759,f1083,f3003]) ).
fof(f6195,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f5891,f1083,f1070]) ).
fof(f6197,plain,
( ~ sQ12_spl
| ~ sQ309_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f4640,f1083,f2058,f953]) ).
fof(f6209,plain,
( ~ sQ62_spl
| op1(e12,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f1116,f139]) ).
fof(f6233,plain,
( ~ sQ406_spl
| ~ sQ33_spl
| op1(e12,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f1022,f2473]) ).
fof(f6235,plain,
( sQ476_spl
| ~ sQ19_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f6030,f953,f975,f2776]) ).
fof(f6238,plain,
( sQ477_spl
| ~ sQ19_spl
| ~ sQ309_spl
| op1(e13,e11) != e11 ),
inference(forward_demodulation,[status(thm)],[f2059,f6038]) ).
fof(f6242,plain,
( sQ524_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f4988,f1277,f2982]) ).
fof(f6243,plain,
( ~ sQ491_spl
| ~ sQ12_spl
| op1(e10,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f954,f2840]) ).
fof(f6244,plain,
( ~ sQ491_spl
| ~ sQ12_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f263,f6243]) ).
fof(f6245,plain,
( ~ sQ491_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6244,f217]) ).
fof(f6246,plain,
( ~ sQ491_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f6245]) ).
fof(f6248,plain,
( sQ376_spl
| ~ sQ190_spl
| ~ sQ104_spl
| op2(e21,e20) != e21 ),
inference(backward_demodulation,[status(thm)],[f5325,f5113]) ).
fof(f6263,plain,
( ~ sQ390_spl
| ~ sQ101_spl
| op2(e21,e22) = e21 ),
inference(backward_demodulation,[status(thm)],[f1275,f2406]) ).
fof(f6277,plain,
( ~ sQ336_spl
| ~ sQ113_spl
| op2(e21,e23) = e20 ),
inference(backward_demodulation,[status(thm)],[f1314,f2172]) ).
fof(f6295,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f5722,f1021,f1060]) ).
fof(f6296,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f5723,f1047,f1060]) ).
fof(f6298,plain,
( ~ sQ45_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f5725,f1008,f1060]) ).
fof(f6299,plain,
( ~ sQ45_spl
| ~ sQ130_spl
| ~ sQ62_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f5984,f1061]) ).
fof(f6300,plain,
( ~ sQ45_spl
| ~ sQ130_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6299,f216]) ).
fof(f6301,plain,
( ~ sQ45_spl
| ~ sQ130_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f6300]) ).
fof(f6309,plain,
( ~ sQ19_spl
| e13 != op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f976,f147]) ).
fof(f6314,plain,
( ~ sQ489_spl
| ~ sQ83_spl
| op2(e23,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f1216,f2831]) ).
fof(f6316,plain,
( ~ sQ555_spl
| e23 != h4(e12) ),
inference(forward_demodulation,[status(thm)],[f4506,f3172]) ).
fof(f6317,plain,
( ~ sQ489_spl
| ~ sQ83_spl
| h4(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f6314,f282]) ).
fof(f6318,plain,
( ~ sQ489_spl
| ~ sQ83_spl
| ~ sQ555_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6317,f6316]) ).
fof(f6319,plain,
( ~ sQ489_spl
| ~ sQ83_spl
| ~ sQ555_spl ),
inference(contradiction_clause,[status(thm)],[f6318]) ).
fof(f6322,plain,
( ~ sQ111_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f5852,f1669,f1306]) ).
fof(f6329,plain,
( ~ sQ482_spl
| ~ sQ83_spl
| op2(e23,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f1216,f2802]) ).
fof(f6331,plain,
( sQ107_spl
| ~ sQ190_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f4886,f1669,f1604,f1293]) ).
fof(f6332,plain,
( ~ sQ211_spl
| ~ sQ190_spl
| ~ sQ104_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f5325,f1670]) ).
fof(f6333,plain,
( ~ sQ211_spl
| ~ sQ190_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6332,f220]) ).
fof(f6334,plain,
( ~ sQ211_spl
| ~ sQ190_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f6333]) ).
fof(f6343,plain,
( ~ sQ101_spl
| e21 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1275,f204]) ).
fof(f6347,plain,
( sQ358_spl
| ~ sQ111_spl
| op2(e20,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f1307,f2268]) ).
fof(f6348,plain,
( sQ358_spl
| ~ sQ111_spl
| ~ sQ76_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1194,f6347]) ).
fof(f6349,plain,
( sQ358_spl
| ~ sQ111_spl
| ~ sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6348]) ).
fof(f6350,plain,
( sQ358_spl
| ~ sQ111_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f6349]) ).
fof(f6354,plain,
( ~ sQ429_spl
| ~ sQ94_spl
| op2(e22,e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f1252,f2571]) ).
fof(f6362,plain,
( ~ sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f4032,f1238,f1251]) ).
fof(f6364,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1252,f1249]) ).
fof(f6365,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6364,f221]) ).
fof(f6366,plain,
( ~ sQ93_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f6365]) ).
fof(f6368,plain,
( sQ485_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f4780,f1215,f2814]) ).
fof(f6369,plain,
( sQ355_spl
| ~ sQ251_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f6067,f1803,f1812,f2252]) ).
fof(f6374,plain,
( ~ sQ406_spl
| ~ sQ33_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f6233,f1037,f1021,f2472]) ).
fof(f6375,plain,
( sQ129_spl
| ~ sQ62_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5988,f1105,f1115,f1397]) ).
fof(f6377,plain,
( ~ sQ383_spl
| op1(e11,e12) != op1(e13,e11) ),
inference(backward_demodulation,[status(thm)],[f2377,f127]) ).
fof(f6379,plain,
( ~ sQ383_spl
| op1(e11,e12) != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f2377,f156]) ).
fof(f6380,plain,
( sQ399_spl
| ~ sQ33_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f5739,f1031,f1021,f2443]) ).
fof(f6409,plain,
( ~ sQ36_spl
| ~ sQ383_spl
| op1(e11,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f2377,f1032]) ).
fof(f6410,plain,
( sQ387_spl
| ~ sQ383_spl
| op1(e13,op1(e11,e12)) != e13 ),
inference(forward_demodulation,[status(thm)],[f2377,f2394]) ).
fof(f6413,plain,
( ~ sQ383_spl
| e13 != op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f2377,f3136]) ).
fof(f6422,plain,
( sQ379_spl
| ~ sQ383_spl
| op1(e12,op1(e11,e12)) != e11 ),
inference(forward_demodulation,[status(thm)],[f2377,f2361]) ).
fof(f6423,plain,
( sQ379_spl
| ~ sQ383_spl
| ~ sQ36_spl
| op1(e12,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f6409,f6422]) ).
fof(f6424,plain,
( sQ379_spl
| ~ sQ383_spl
| ~ sQ36_spl
| ~ sQ33_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1022,f6423]) ).
fof(f6425,plain,
( sQ379_spl
| ~ sQ383_spl
| ~ sQ36_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6424]) ).
fof(f6426,plain,
( sQ379_spl
| ~ sQ383_spl
| ~ sQ36_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f6425]) ).
fof(f6432,plain,
( ~ sQ255_spl
| ~ sQ123_spl
| op2(e23,e23) = e23 ),
inference(backward_demodulation,[status(thm)],[f1346,f1829]) ).
fof(f6436,plain,
( ~ sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f3294,f1332,f1345]) ).
fof(f6437,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f4230,f992,f979]) ).
fof(f6438,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f4229,f1031,f979]) ).
fof(f6441,plain,
( sQ461_spl
| ~ sQ20_spl
| op1(e13,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f980,f2712]) ).
fof(f6444,plain,
( sQ149_spl
| ~ sQ20_spl
| h1(e10) != h2(e12) ),
inference(backward_demodulation,[status(thm)],[f980,f3251]) ).
fof(f6450,plain,
( ~ sQ371_spl
| ~ sQ290_spl
| op2(e22,h3(e11)) = e22 ),
inference(backward_demodulation,[status(thm)],[f5406,f2324]) ).
fof(f6451,plain,
( ~ sQ190_spl
| ~ sQ290_spl
| e22 = h3(e11) ),
inference(forward_demodulation,[status(thm)],[f5406,f5412]) ).
fof(f6452,plain,
( ~ sQ190_spl
| ~ sQ290_spl
| sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6451,f1976]) ).
fof(f6453,plain,
( ~ sQ190_spl
| ~ sQ290_spl
| sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f6452]) ).
fof(f6468,plain,
( ~ sQ312_spl
| ~ sQ53_spl
| op1(e12,e11) = e12 ),
inference(backward_demodulation,[status(thm)],[f1087,f2071]) ).
fof(f6471,plain,
( sQ137_spl
| ~ sQ215_spl
| h4(e11) != e23 ),
inference(forward_demodulation,[status(thm)],[f5116,f5884]) ).
fof(f6492,plain,
( ~ sQ336_spl
| ~ sQ113_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f6277,f1245,f1313,f2171]) ).
fof(f6493,plain,
( sQ130_spl
| ~ sQ62_spl
| op1(e12,e13) != e13 ),
inference(forward_demodulation,[status(thm)],[f1116,f1403]) ).
fof(f6499,plain,
( ~ sQ170_spl
| ~ sQ12_spl
| h2(e10) = op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f954,f1541]) ).
fof(f6500,plain,
( ~ sQ170_spl
| ~ sQ12_spl
| e21 = op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f272,f6499]) ).
fof(f6501,plain,
( ~ sQ170_spl
| ~ sQ12_spl
| e21 = op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f272,f6500]) ).
fof(f6514,plain,
( sQ319_spl
| ~ sQ119_spl
| op2(e21,e23) != e23 ),
inference(backward_demodulation,[status(thm)],[f1333,f2102]) ).
fof(f6515,plain,
( ~ sQ85_spl
| ~ sQ167_spl
| e21 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f5065,f3157]) ).
fof(f6518,plain,
( sQ178_spl
| ~ sQ85_spl
| ~ sQ167_spl
| h2(op1(e12,e13)) != op2(e21,h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f5065,f1566]) ).
fof(f6522,plain,
( ~ sQ469_spl
| ~ sQ167_spl
| ~ sQ85_spl
| op2(e23,e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f5065,f3989]) ).
fof(f6525,plain,
( ~ sQ167_spl
| ~ sQ85_spl
| e21 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f5065,f3991]) ).
fof(f6528,plain,
( ~ sQ85_spl
| ~ sQ167_spl
| h2(e11) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f5065,f3156]) ).
fof(f6536,plain,
( sQ176_spl
| ~ sQ85_spl
| ~ sQ167_spl
| h2(op1(e12,e11)) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f5065,f1560]) ).
fof(f6537,plain,
( sQ176_spl
| ~ sQ85_spl
| ~ sQ167_spl
| ~ sQ168_spl
| h2(op1(e12,e11)) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f5163,f6536]) ).
fof(f6544,plain,
( sQ461_spl
| ~ sQ20_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f6441,f1079,f979,f2710]) ).
fof(f6547,plain,
( sQ149_spl
| ~ sQ20_spl
| e20 != h2(e12) ),
inference(forward_demodulation,[status(thm)],[f268,f6444]) ).
fof(f6558,plain,
( ~ sQ100_spl
| ~ sQ102_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1278,f1272]) ).
fof(f6559,plain,
( ~ sQ100_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6558,f219]) ).
fof(f6560,plain,
( ~ sQ100_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f6559]) ).
fof(f6561,plain,
( ~ sQ379_spl
| ~ sQ38_spl
| op1(e12,e12) = e11 ),
inference(backward_demodulation,[status(thm)],[f1038,f2360]) ).
fof(f6569,plain,
( ~ sQ380_spl
| ~ sQ38_spl
| op1(e12,e12) = e11 ),
inference(backward_demodulation,[status(thm)],[f1038,f2364]) ).
fof(f6571,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f6098,f1063,f1037]) ).
fof(f6574,plain,
( ~ sQ371_spl
| ~ sQ190_spl
| op2(e22,h3(e12)) = e22 ),
inference(forward_demodulation,[status(thm)],[f3975,f2324]) ).
fof(f6575,plain,
( ~ sQ371_spl
| ~ sQ190_spl
| h3(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f3163,f6574]) ).
fof(f6576,plain,
( ~ sQ371_spl
| ~ sQ190_spl
| sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6575,f1976]) ).
fof(f6577,plain,
( ~ sQ371_spl
| ~ sQ190_spl
| sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f6576]) ).
fof(f6594,plain,
( ~ sQ385_spl
| ~ sQ515_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f4443,f995,f2943,f2384]) ).
fof(f6595,plain,
( ~ sQ384_spl
| ~ sQ515_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f4444,f940,f2943,f2380]) ).
fof(f6604,plain,
( ~ sQ18_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f973,f3132]) ).
fof(f6605,plain,
( ~ sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6604]) ).
fof(f6606,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f6605]) ).
fof(f6608,plain,
( ~ sQ76_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f5382,f1297,f1193]) ).
fof(f6609,plain,
( sQ472_spl
| ~ sQ496_spl
| ~ sQ12_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f4383,f979,f953,f2861,f2759]) ).
fof(f6613,plain,
( ~ sQ473_spl
| ~ sQ496_spl
| ~ sQ12_spl
| op1(e11,e10) = e11 ),
inference(backward_demodulation,[status(thm)],[f6620,f2764]) ).
fof(f6620,plain,
( ~ sQ496_spl
| ~ sQ12_spl
| op1(e11,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f954,f2862]) ).
fof(f6621,plain,
( ~ sQ496_spl
| ~ sQ329_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f3664,f2150,f2142,f2861]) ).
fof(f6622,plain,
( ~ sQ247_spl
| ~ sQ255_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1829,f1796]) ).
fof(f6623,plain,
( ~ sQ247_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6622,f223]) ).
fof(f6624,plain,
( ~ sQ247_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6623]) ).
fof(f6628,plain,
( ~ sQ369_spl
| ~ sQ40_spl
| op1(e13,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f1045,f2315]) ).
fof(f6629,plain,
( ~ sQ369_spl
| ~ sQ40_spl
| ~ sQ48_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1071,f6628]) ).
fof(f6630,plain,
( ~ sQ369_spl
| ~ sQ40_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6629,f214]) ).
fof(f6631,plain,
( ~ sQ369_spl
| ~ sQ40_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f6630]) ).
fof(f6633,plain,
( ~ sQ367_spl
| ~ sQ40_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f1045,f2306]) ).
fof(f6634,plain,
( ~ sQ367_spl
| ~ sQ40_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f263,f6633]) ).
fof(f6635,plain,
( ~ sQ367_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6634,f213]) ).
fof(f6636,plain,
( ~ sQ367_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f6635]) ).
fof(f6637,plain,
( ~ sQ364_spl
| ~ sQ40_spl
| op1(e10,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f1045,f2292]) ).
fof(f6638,plain,
( ~ sQ364_spl
| ~ sQ40_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f3126,f6637]) ).
fof(f6639,plain,
( ~ sQ364_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6638,f215]) ).
fof(f6640,plain,
( ~ sQ364_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f6639]) ).
fof(f6641,plain,
( ~ sQ538_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f6185,f1271,f3042]) ).
fof(f6643,plain,
( sQ317_spl
| ~ sQ538_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3151,f6189]) ).
fof(f6644,plain,
( sQ317_spl
| ~ sQ538_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6643]) ).
fof(f6645,plain,
( sQ317_spl
| ~ sQ538_spl ),
inference(contradiction_clause,[status(thm)],[f6644]) ).
fof(f6652,plain,
( ~ sQ31_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3457,f975,f1014]) ).
fof(f6655,plain,
( ~ sQ379_spl
| ~ sQ38_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f6561,f1047,f1037,f2359]) ).
fof(f6657,plain,
( ~ sQ380_spl
| ~ sQ38_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f6569,f1047,f1037,f2363]) ).
fof(f6663,plain,
( ~ sQ47_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3449,f1027,f1066]) ).
fof(f6673,plain,
( ~ sQ403_spl
| ~ sQ35_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1028,f5745]) ).
fof(f6674,plain,
( ~ sQ403_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6673,f216]) ).
fof(f6675,plain,
( ~ sQ403_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f6674]) ).
fof(f6680,plain,
( ~ sQ47_spl
| sQ130_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1067,f6493]) ).
fof(f6681,plain,
( ~ sQ47_spl
| sQ130_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f6680]) ).
fof(f6733,plain,
( ~ sQ383_spl
| ~ sQ38_spl
| op1(e11,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f1038,f2377]) ).
fof(f6744,plain,
( ~ sQ439_spl
| ~ sQ383_spl
| ~ sQ38_spl
| op1(e12,e12) = e11 ),
inference(forward_demodulation,[status(thm)],[f6733,f2614]) ).
fof(f6745,plain,
( ~ sQ439_spl
| ~ sQ383_spl
| ~ sQ38_spl
| ~ sQ40_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f1045,f6744]) ).
fof(f6746,plain,
( ~ sQ439_spl
| ~ sQ383_spl
| ~ sQ38_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6745,f212]) ).
fof(f6747,plain,
( ~ sQ439_spl
| ~ sQ383_spl
| ~ sQ38_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f6746]) ).
fof(f6766,plain,
( ~ sQ472_spl
| ~ sQ475_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f3698,f1083,f2772,f2759]) ).
fof(f6770,plain,
( ~ sQ400_spl
| ~ sQ33_spl
| op1(e11,e12) = e10 ),
inference(backward_demodulation,[status(thm)],[f1022,f2448]) ).
fof(f6780,plain,
( ~ sQ190_spl
| ~ sQ211_spl
| e23 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f1670,f3975]) ).
fof(f6781,plain,
( sQ375_spl
| ~ sQ190_spl
| ~ sQ211_spl
| op2(e20,e23) != e20 ),
inference(backward_demodulation,[status(thm)],[f1670,f6129]) ).
fof(f6783,plain,
( ~ sQ211_spl
| h3(e11) = op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f1670,f3163]) ).
fof(f6787,plain,
( ~ sQ377_spl
| ~ sQ190_spl
| ~ sQ211_spl
| op2(e23,e23) = e23 ),
inference(backward_demodulation,[status(thm)],[f1670,f6182]) ).
fof(f6797,plain,
( ~ sQ97_spl
| op2(e21,e20) != e21 ),
inference(backward_demodulation,[status(thm)],[f1262,f167]) ).
fof(f6800,plain,
( sQ415_spl
| ~ sQ97_spl
| op2(e21,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f1262,f2512]) ).
fof(f6801,plain,
( ~ sQ410_spl
| ~ sQ97_spl
| op2(e21,e22) = e20 ),
inference(backward_demodulation,[status(thm)],[f1262,f2490]) ).
fof(f6803,plain,
( ~ sQ97_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f5321,f1300,f1261]) ).
fof(f6804,plain,
( ~ sQ97_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f5312,f1313,f1261]) ).
fof(f6811,plain,
( sQ317_spl
| ~ sQ118_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f5837,f1280,f1329,f2091]) ).
fof(f6814,plain,
( ~ sQ118_spl
| ~ sQ302_spl ),
inference(split_clause,[status(thm)],[f5842,f2029,f1329]) ).
fof(f6818,plain,
( sQ319_spl
| ~ sQ118_spl
| op2(e21,e23) != e22 ),
inference(backward_demodulation,[status(thm)],[f1330,f2102]) ).
fof(f6827,plain,
( ~ sQ316_spl
| ~ sQ118_spl
| op2(e22,e23) = e21 ),
inference(backward_demodulation,[status(thm)],[f1330,f2088]) ).
fof(f6833,plain,
( ~ sQ316_spl
| ~ sQ118_spl
| e21 != h4(e12) ),
inference(backward_demodulation,[status(thm)],[f4046,f3175]) ).
fof(f6854,plain,
( ~ sQ85_spl
| ~ sQ167_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f6515,f1248,f1531,f1222]) ).
fof(f6855,plain,
( sQ178_spl
| ~ sQ85_spl
| ~ sQ167_spl
| ~ sQ170_spl
| ~ sQ12_spl
| h2(op1(e12,e13)) != e21 ),
inference(forward_demodulation,[status(thm)],[f6501,f6518]) ).
fof(f6860,plain,
( ~ sQ469_spl
| ~ sQ167_spl
| ~ sQ85_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f6522,f1332,f1222,f1531,f2746]) ).
fof(f6864,plain,
( sQ464_spl
| ~ sQ167_spl
| ~ sQ85_spl
| op2(e21,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f6878,f5813]) ).
fof(f6865,plain,
( ~ sQ167_spl
| ~ sQ85_spl
| h2(e11) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f6878,f3156]) ).
fof(f6867,plain,
( ~ sQ167_spl
| ~ sQ85_spl
| e21 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f6878,f3991]) ).
fof(f6878,plain,
( ~ sQ167_spl
| ~ sQ85_spl
| e21 = h2(e12) ),
inference(forward_demodulation,[status(thm)],[f3991,f6525]) ).
fof(f6879,plain,
( ~ sQ85_spl
| ~ sQ167_spl
| h2(e11) = h2(e12) ),
inference(forward_demodulation,[status(thm)],[f3991,f6528]) ).
fof(f6880,plain,
( ~ sQ85_spl
| ~ sQ167_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f6878,f6879]) ).
fof(f6881,plain,
( ~ sQ85_spl
| ~ sQ167_spl
| sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6880,f1908]) ).
fof(f6882,plain,
( ~ sQ85_spl
| ~ sQ167_spl
| sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f6881]) ).
fof(f6890,plain,
( sQ479_spl
| ~ sQ19_spl
| op1(e13,e13) != e13 ),
inference(backward_demodulation,[status(thm)],[f976,f2790]) ).
fof(f6892,plain,
( sQ171_spl
| ~ sQ19_spl
| h2(e13) != op2(h2(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f976,f3213]) ).
fof(f6941,plain,
( sQ241_spl
| ~ sQ47_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5918,f1105,f1066,f1770]) ).
fof(f6948,plain,
( sQ546_spl
| e12 != op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f263,f3082]) ).
fof(f6949,plain,
( sQ546_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f263,f6948]) ).
fof(f6950,plain,
( sQ546_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6949]) ).
fof(f6951,plain,
sQ546_spl,
inference(contradiction_clause,[status(thm)],[f6950]) ).
fof(f6957,plain,
( ~ sQ123_spl
| sQ555_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1346,f3957]) ).
fof(f6958,plain,
( ~ sQ123_spl
| sQ555_spl ),
inference(contradiction_clause,[status(thm)],[f6957]) ).
fof(f6969,plain,
( ~ sQ95_spl
| op2(e21,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1255,f199]) ).
fof(f6970,plain,
( ~ sQ95_spl
| e23 != h4(e12) ),
inference(backward_demodulation,[status(thm)],[f1255,f3176]) ).
fof(f6972,plain,
( ~ sQ99_spl
| ~ sQ211_spl ),
inference(split_clause,[status(thm)],[f4873,f1669,f1267]) ).
fof(f6981,plain,
( ~ sQ553_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4495,f4092]) ).
fof(f6982,plain,
~ sQ553_spl,
inference(contradiction_clause,[status(thm)],[f6981]) ).
fof(f6984,plain,
( ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| h3(e13) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f6575,f4577]) ).
fof(f6990,plain,
( ~ sQ33_spl
| e11 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f1022,f153]) ).
fof(f7019,plain,
( sQ345_spl
| ~ sQ47_spl
| op1(e12,e13) != e13 ),
inference(backward_demodulation,[status(thm)],[f1067,f2211]) ).
fof(f7044,plain,
( sQ251_spl
| ~ sQ110_spl
| e22 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1304,f1814]) ).
fof(f7047,plain,
( ~ sQ110_spl
| e22 != h4(e12) ),
inference(forward_demodulation,[status(thm)],[f1304,f3175]) ).
fof(f7048,plain,
( ~ sQ95_spl
| e23 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1255,f185]) ).
fof(f7058,plain,
( sQ346_spl
| ~ sQ47_spl
| op1(e13,e12) != e13 ),
inference(forward_demodulation,[status(thm)],[f1067,f2215]) ).
fof(f7059,plain,
( sQ346_spl
| ~ sQ47_spl
| ~ sQ59_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f1106,f7058]) ).
fof(f7060,plain,
( sQ346_spl
| ~ sQ47_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7059]) ).
fof(f7061,plain,
( sQ346_spl
| ~ sQ47_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f7060]) ).
fof(f7063,plain,
( ~ sQ241_spl
| ~ sQ47_spl
| e13 = op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f1067,f1771]) ).
fof(f7082,plain,
( sQ319_spl
| ~ sQ119_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f6514,f1254,f1332,f2100]) ).
fof(f7085,plain,
( ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1236,f4092]) ).
fof(f7086,plain,
~ sQ89_spl,
inference(contradiction_clause,[status(thm)],[f7085]) ).
fof(f7087,plain,
( ~ sQ302_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2030,f7047]) ).
fof(f7088,plain,
( ~ sQ302_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f7087]) ).
fof(f7090,plain,
( sQ361_spl
| ~ sQ110_spl
| op2(e23,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f1304,f2280]) ).
fof(f7092,plain,
( ~ sQ278_spl
| op2(e21,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f1928,f3159]) ).
fof(f7095,plain,
( ~ sQ167_spl
| ~ sQ278_spl
| e22 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f1928,f3991]) ).
fof(f7105,plain,
( ~ sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f6969,f1241,f1254]) ).
fof(f7124,plain,
( sQ195_spl
| ~ sQ20_spl
| ~ sQ371_spl
| ~ sQ190_spl
| e22 != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f6575,f5695]) ).
fof(f7125,plain,
( sQ195_spl
| ~ sQ20_spl
| ~ sQ371_spl
| ~ sQ190_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f6575,f7124]) ).
fof(f7172,plain,
( ~ sQ97_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f6797,f1209,f1261]) ).
fof(f7184,plain,
( sQ350_spl
| ~ sQ47_spl
| op1(e11,e13) != e11 ),
inference(forward_demodulation,[status(thm)],[f1067,f2233]) ).
fof(f7185,plain,
( sQ350_spl
| ~ sQ47_spl
| ~ sQ29_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1009,f7184]) ).
fof(f7186,plain,
( sQ350_spl
| ~ sQ47_spl
| ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7185]) ).
fof(f7187,plain,
( sQ350_spl
| ~ sQ47_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f7186]) ).
fof(f7200,plain,
( ~ sQ397_spl
| ~ sQ100_spl
| op2(e23,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f1272,f2435]) ).
fof(f7201,plain,
( ~ sQ397_spl
| ~ sQ393_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f3735,f2674,f2418,f2434]) ).
fof(f7205,plain,
( sQ375_spl
| ~ sQ190_spl
| ~ sQ211_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f6781,f1193,f1669,f1604,f2341]) ).
fof(f7206,plain,
( sQ356_spl
| ~ sQ110_spl
| op2(e22,e23) != e22 ),
inference(forward_demodulation,[status(thm)],[f1304,f2258]) ).
fof(f7207,plain,
( sQ356_spl
| ~ sQ110_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1304,f7206]) ).
fof(f7208,plain,
( sQ356_spl
| ~ sQ110_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7207]) ).
fof(f7209,plain,
( sQ356_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f7208]) ).
fof(f7217,plain,
( sQ372_spl
| ~ sQ190_spl
| ~ sQ211_spl
| op2(e23,e22) != e22 ),
inference(forward_demodulation,[status(thm)],[f1670,f6093]) ).
fof(f7218,plain,
( sQ372_spl
| ~ sQ190_spl
| ~ sQ211_spl
| ~ sQ122_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1343,f7217]) ).
fof(f7219,plain,
( sQ372_spl
| ~ sQ190_spl
| ~ sQ211_spl
| ~ sQ122_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7218]) ).
fof(f7220,plain,
( sQ372_spl
| ~ sQ190_spl
| ~ sQ211_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f7219]) ).
fof(f7221,plain,
( sQ247_spl
| ~ sQ122_spl
| op2(e23,e22) != e22 ),
inference(forward_demodulation,[status(thm)],[f1343,f1797]) ).
fof(f7222,plain,
( sQ247_spl
| ~ sQ122_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1343,f7221]) ).
fof(f7223,plain,
( sQ247_spl
| ~ sQ122_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7222]) ).
fof(f7224,plain,
( sQ247_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f7223]) ).
fof(f7225,plain,
( sQ249_spl
| ~ sQ122_spl
| op2(e22,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f1343,f1805]) ).
fof(f7226,plain,
( sQ249_spl
| ~ sQ122_spl
| ~ sQ190_spl
| ~ sQ211_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f6780,f7225]) ).
fof(f7227,plain,
( sQ249_spl
| ~ sQ122_spl
| ~ sQ190_spl
| ~ sQ211_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7226]) ).
fof(f7228,plain,
( sQ249_spl
| ~ sQ122_spl
| ~ sQ190_spl
| ~ sQ211_spl ),
inference(contradiction_clause,[status(thm)],[f7227]) ).
fof(f7229,plain,
( sQ238_spl
| ~ sQ241_spl
| ~ sQ47_spl
| op1(e13,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f7063,f1759]) ).
fof(f7231,plain,
( sQ349_spl
| ~ sQ47_spl
| op1(e10,e13) != e10 ),
inference(forward_demodulation,[status(thm)],[f1067,f2229]) ).
fof(f7232,plain,
( sQ349_spl
| ~ sQ47_spl
| ~ sQ12_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f954,f7231]) ).
fof(f7233,plain,
( sQ349_spl
| ~ sQ47_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7232]) ).
fof(f7234,plain,
( sQ349_spl
| ~ sQ47_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f7233]) ).
fof(f7238,plain,
( sQ477_spl
| ~ sQ19_spl
| ~ sQ309_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f6238,f1086,f2058,f975,f2780]) ).
fof(f7239,plain,
( sQ477_spl
| ~ sQ19_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f6038,f1008,f975,f2780]) ).
fof(f7262,plain,
( ~ sQ237_spl
| ~ sQ245_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1787,f1754]) ).
fof(f7263,plain,
( ~ sQ237_spl
| ~ sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7262,f217]) ).
fof(f7264,plain,
( ~ sQ237_spl
| ~ sQ245_spl ),
inference(contradiction_clause,[status(thm)],[f7263]) ).
fof(f7272,plain,
( ~ sQ377_spl
| ~ sQ190_spl
| ~ sQ211_spl
| e23 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f7274,f282]) ).
fof(f7274,plain,
( ~ sQ377_spl
| ~ sQ190_spl
| ~ sQ211_spl
| h4(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f282,f6787]) ).
fof(f7275,plain,
( ~ sQ420_spl
| ~ sQ29_spl
| op1(e11,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f1009,f2532]) ).
fof(f7276,plain,
( ~ sQ420_spl
| ~ sQ29_spl
| ~ sQ20_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f980,f7275]) ).
fof(f7277,plain,
( ~ sQ420_spl
| ~ sQ29_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7276,f214]) ).
fof(f7278,plain,
( ~ sQ420_spl
| ~ sQ29_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f7277]) ).
fof(f7279,plain,
( ~ sQ400_spl
| ~ sQ33_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f6770,f992,f1021,f2447]) ).
fof(f7280,plain,
( ~ sQ252_spl
| ~ sQ122_spl
| op2(e20,e22) = e20 ),
inference(forward_demodulation,[status(thm)],[f1343,f1817]) ).
fof(f7281,plain,
( ~ sQ252_spl
| ~ sQ122_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f3139,f7280]) ).
fof(f7282,plain,
( ~ sQ252_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7281,f218]) ).
fof(f7283,plain,
( ~ sQ252_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f7282]) ).
fof(f7288,plain,
( ~ sQ254_spl
| ~ sQ122_spl
| op2(e22,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f1343,f1825]) ).
fof(f7289,plain,
( ~ sQ254_spl
| ~ sQ122_spl
| ~ sQ190_spl
| ~ sQ211_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f6780,f7288]) ).
fof(f7290,plain,
( ~ sQ254_spl
| ~ sQ122_spl
| ~ sQ190_spl
| ~ sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7289,f223]) ).
fof(f7291,plain,
( ~ sQ254_spl
| ~ sQ122_spl
| ~ sQ190_spl
| ~ sQ211_spl ),
inference(contradiction_clause,[status(thm)],[f7290]) ).
fof(f7292,plain,
( sQ345_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f7019,f1066,f2209]) ).
fof(f7297,plain,
( ~ sQ19_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f6309,f1001,f975]) ).
fof(f7303,plain,
( sQ479_spl
| ~ sQ19_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f6890,f1118,f975,f2788]) ).
fof(f7305,plain,
( ~ sQ47_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f5941,f1118,f1066]) ).
fof(f7313,plain,
( sQ534_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f4490,f1118,f3025]) ).
fof(f7333,plain,
( ~ sQ30_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f5926,f985,f1011]) ).
fof(f7334,plain,
( sQ419_spl
| ~ sQ30_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f5927,f1001,f1011,f2527]) ).
fof(f7344,plain,
( sQ134_spl
| ~ sQ63_spl
| op1(e11,e13) != e11 ),
inference(backward_demodulation,[status(thm)],[f1119,f1419]) ).
fof(f7347,plain,
( ~ sQ429_spl
| ~ sQ319_spl
| op2(op2(e23,e21),e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f2101,f2571]) ).
fof(f7348,plain,
( ~ sQ428_spl
| ~ sQ319_spl
| op2(e21,op2(e23,e21)) = e23 ),
inference(backward_demodulation,[status(thm)],[f2101,f2567]) ).
fof(f7351,plain,
( sQ433_spl
| ~ sQ319_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f4365,f2108,f2100,f2588]) ).
fof(f7352,plain,
( ~ sQ432_spl
| ~ sQ319_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f4362,f2104,f2100,f2584]) ).
fof(f7358,plain,
( sQ446_spl
| ~ sQ520_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f4453,f1212,f2964,f2644]) ).
fof(f7364,plain,
( ~ sQ150_spl
| h1(op1(e11,e12)) = op2(e21,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3152,f1477]) ).
fof(f7365,plain,
( ~ sQ150_spl
| h1(op1(e11,e12)) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f3153,f7364]) ).
fof(f7369,plain,
( ~ sQ555_spl
| e23 != h4(e12) ),
inference(backward_demodulation,[status(thm)],[f4506,f3172]) ).
fof(f7371,plain,
( ~ sQ555_spl
| op2(e23,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f4506,f207]) ).
fof(f7372,plain,
( sQ255_spl
| ~ sQ555_spl
| op2(e23,e23) != e23 ),
inference(backward_demodulation,[status(thm)],[f4506,f1830]) ).
fof(f7373,plain,
( ~ sQ555_spl
| op2(e23,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f4506,f209]) ).
fof(f7378,plain,
( sQ93_spl
| ~ sQ319_spl
| op2(e23,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f2101,f1250]) ).
fof(f7382,plain,
( ~ sQ463_spl
| ~ sQ167_spl
| e21 = op2(e21,h2(e12)) ),
inference(backward_demodulation,[status(thm)],[f5887,f3156]) ).
fof(f7384,plain,
( sQ173_spl
| ~ sQ463_spl
| ~ sQ167_spl
| h2(op1(e11,e12)) != op2(e21,h2(e12)) ),
inference(backward_demodulation,[status(thm)],[f5887,f1551]) ).
fof(f7389,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| h2(e13) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f5887,f5163]) ).
fof(f7397,plain,
( ~ sQ319_spl
| op2(e23,e21) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2101,f185]) ).
fof(f7402,plain,
( ~ sQ319_spl
| ~ sQ109_spl
| op2(e23,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f1301,f7397]) ).
fof(f7404,plain,
( sQ360_spl
| ~ sQ109_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1301,f2276]) ).
fof(f7411,plain,
( sQ241_spl
| ~ sQ58_spl
| op1(e12,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f1103,f1772]) ).
fof(f7418,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f5153,f1034,f1086]) ).
fof(f7432,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f4246,f1018,f1044]) ).
fof(f7436,plain,
( sQ195_spl
| ~ sQ20_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f7125,f1290,f1604,f2323,f979,f1619]) ).
fof(f7452,plain,
( sQ437_spl
| ~ sQ27_spl
| op1(e11,e13) != e12 ),
inference(backward_demodulation,[status(thm)],[f1002,f2607]) ).
fof(f7453,plain,
( ~ sQ438_spl
| ~ sQ27_spl
| op1(e13,e11) = e12 ),
inference(backward_demodulation,[status(thm)],[f1002,f2610]) ).
fof(f7494,plain,
( ~ sQ290_spl
| ~ sQ190_spl
| h3(e11) = op2(e22,h3(e11)) ),
inference(backward_demodulation,[status(thm)],[f7504,f3163]) ).
fof(f7504,plain,
( ~ sQ290_spl
| ~ sQ190_spl
| h3(e11) = h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3975,f5874]) ).
fof(f7522,plain,
( ~ sQ290_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f5399,f1303,f1978]) ).
fof(f7530,plain,
( ~ sQ371_spl
| ~ sQ290_spl
| ~ sQ191_spl
| h3(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f4577,f6450]) ).
fof(f7539,plain,
( sQ361_spl
| ~ sQ110_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f7090,f1345,f1303,f2278]) ).
fof(f7545,plain,
( ~ sQ27_spl
| e13 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f1002,f151]) ).
fof(f7567,plain,
( ~ sQ99_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4904,f1306,f1267]) ).
fof(f7575,plain,
( ~ sQ95_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f7048,f1306,f1254]) ).
fof(f7577,plain,
( ~ sQ390_spl
| ~ sQ393_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f3740,f2652,f2418,f2405]) ).
fof(f7578,plain,
( ~ sQ451_spl
| ~ sQ520_spl
| op2(e21,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f3915,f2667]) ).
fof(f7579,plain,
( ~ sQ451_spl
| ~ sQ520_spl
| sQ505_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7578,f5198]) ).
fof(f7580,plain,
( ~ sQ451_spl
| ~ sQ520_spl
| sQ505_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f7579]) ).
fof(f7594,plain,
( ~ sQ555_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f7369,f1742,f3121]) ).
fof(f7595,plain,
( ~ sQ555_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f7371,f1319,f3121]) ).
fof(f7596,plain,
( sQ255_spl
| ~ sQ555_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f7372,f1358,f3121,f1828]) ).
fof(f7597,plain,
( ~ sQ555_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f7373,f1332,f3121]) ).
fof(f7598,plain,
( sQ173_spl
| ~ sQ463_spl
| ~ sQ167_spl
| h2(op1(e11,e12)) != e21 ),
inference(forward_demodulation,[status(thm)],[f7382,f7384]) ).
fof(f7603,plain,
( ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl
| e21 = op2(e21,h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f7613,f7382]) ).
fof(f7613,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| h2(e13) = h2(e12) ),
inference(forward_demodulation,[status(thm)],[f3991,f7389]) ).
fof(f7645,plain,
( sQ171_spl
| ~ sQ19_spl
| ~ sQ463_spl
| ~ sQ167_spl
| h2(e13) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5887,f6892]) ).
fof(f7646,plain,
( sQ171_spl
| ~ sQ19_spl
| ~ sQ463_spl
| ~ sQ167_spl
| h2(e13) != h2(e12) ),
inference(forward_demodulation,[status(thm)],[f3991,f7645]) ).
fof(f7647,plain,
( sQ171_spl
| ~ sQ19_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl
| h2(e13) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f7613,f7646]) ).
fof(f7648,plain,
( sQ171_spl
| ~ sQ19_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7647]) ).
fof(f7649,plain,
( sQ171_spl
| ~ sQ19_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl ),
inference(contradiction_clause,[status(thm)],[f7648]) ).
fof(f7699,plain,
( ~ sQ309_spl
| ~ sQ477_spl
| ~ sQ475_spl
| e11 = op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f3689,f2059]) ).
fof(f7723,plain,
( sQ473_spl
| ~ sQ19_spl
| op1(e13,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f976,f2765]) ).
fof(f7769,plain,
( ~ sQ339_spl
| ~ sQ76_spl
| op2(e21,e20) != e20 ),
inference(backward_demodulation,[status(thm)],[f5634,f168]) ).
fof(f7770,plain,
( ~ sQ339_spl
| ~ sQ76_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f5668,f1323,f1193,f2184]) ).
fof(f7798,plain,
( ~ sQ346_spl
| ~ sQ47_spl
| op1(e13,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f1067,f2214]) ).
fof(f7801,plain,
( sQ305_spl
| ~ sQ53_spl
| op1(e13,e11) != e11 ),
inference(forward_demodulation,[status(thm)],[f1087,f2043]) ).
fof(f7802,plain,
( sQ305_spl
| ~ sQ53_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1087,f7801]) ).
fof(f7803,plain,
( sQ305_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7802]) ).
fof(f7804,plain,
( sQ305_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f7803]) ).
fof(f7819,plain,
( ~ sQ97_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f4145,f1274,f1261]) ).
fof(f7825,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| e20 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f1945,f3975]) ).
fof(f7832,plain,
( sQ541_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f4326,f1248,f3056]) ).
fof(f7847,plain,
( ~ sQ191_spl
| ~ sQ291_spl
| e22 = op2(e22,h3(e11)) ),
inference(backward_demodulation,[status(thm)],[f5048,f4577]) ).
fof(f7862,plain,
( sQ133_spl
| ~ sQ534_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3627,f953,f3025,f1413]) ).
fof(f7866,plain,
( sQ135_spl
| ~ sQ534_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3625,f1063,f3025,f1421]) ).
fof(f7873,plain,
( sQ415_spl
| ~ sQ97_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f6800,f1222,f1261,f2510]) ).
fof(f7874,plain,
( sQ336_spl
| ~ sQ339_spl
| ~ sQ76_spl
| op2(e20,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f5634,f2173]) ).
fof(f7875,plain,
( sQ336_spl
| ~ sQ339_spl
| ~ sQ76_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1194,f7874]) ).
fof(f7876,plain,
( sQ336_spl
| ~ sQ339_spl
| ~ sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7875]) ).
fof(f7877,plain,
( sQ336_spl
| ~ sQ339_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f7876]) ).
fof(f7883,plain,
( ~ sQ482_spl
| ~ sQ485_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f3682,f1323,f2814,f2801]) ).
fof(f7895,plain,
( ~ sQ481_spl
| ~ sQ485_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f3683,f1245,f2814,f2797]) ).
fof(f7901,plain,
( ~ sQ419_spl
| ~ sQ309_spl
| op1(e11,op1(e13,e11)) = e13 ),
inference(backward_demodulation,[status(thm)],[f2059,f2528]) ).
fof(f7922,plain,
( sQ252_spl
| ~ sQ123_spl
| op2(e20,e23) != e20 ),
inference(backward_demodulation,[status(thm)],[f1346,f1818]) ).
fof(f7925,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4153,f1102,f1115]) ).
fof(f7927,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f6209,f1063,f1115]) ).
fof(f7933,plain,
( sQ420_spl
| ~ sQ309_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f4379,f2049,f2058,f2531]) ).
fof(f7937,plain,
( sQ424_spl
| ~ sQ309_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f4381,f2066,f2058,f2549]) ).
fof(f7942,plain,
( ~ sQ482_spl
| ~ sQ83_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f6329,f1323,f1215,f2801]) ).
fof(f8004,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| h2(e13) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f5887,f5163]) ).
fof(f8009,plain,
( ~ sQ463_spl
| ~ sQ167_spl
| e21 = op2(e21,h2(e12)) ),
inference(backward_demodulation,[status(thm)],[f5887,f3156]) ).
fof(f8045,plain,
( ~ sQ504_spl
| ~ sQ339_spl
| ~ sQ76_spl
| op2(e20,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f5634,f3651]) ).
fof(f8046,plain,
( ~ sQ504_spl
| ~ sQ339_spl
| ~ sQ76_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f266,f8045]) ).
fof(f8047,plain,
( ~ sQ504_spl
| ~ sQ339_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8046,f219]) ).
fof(f8048,plain,
( ~ sQ504_spl
| ~ sQ339_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f8047]) ).
fof(f8052,plain,
( ~ sQ548_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f4516,f1050,f3089]) ).
fof(f8066,plain,
( sQ379_spl
| ~ sQ37_spl
| op1(e12,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f1035,f2361]) ).
fof(f8079,plain,
( sQ129_spl
| ~ sQ61_spl
| op1(e13,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f1113,f1399]) ).
fof(f8082,plain,
( ~ sQ31_spl
| ~ sQ309_spl
| op1(e13,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f2059,f1015]) ).
fof(f8083,plain,
( ~ sQ31_spl
| ~ sQ309_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8082,f3135]) ).
fof(f8084,plain,
( ~ sQ31_spl
| ~ sQ309_spl ),
inference(contradiction_clause,[status(thm)],[f8083]) ).
fof(f8086,plain,
( sQ366_spl
| ~ sQ40_spl
| e10 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f1045,f2303]) ).
fof(f8087,plain,
( sQ366_spl
| ~ sQ40_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1045,f8086]) ).
fof(f8088,plain,
( sQ366_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8087]) ).
fof(f8089,plain,
( sQ366_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f8088]) ).
fof(f8090,plain,
( ~ sQ399_spl
| ~ sQ35_spl
| op1(e12,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f1028,f2444]) ).
fof(f8091,plain,
( ~ sQ399_spl
| ~ sQ35_spl
| sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8090,f1059]) ).
fof(f8092,plain,
( ~ sQ399_spl
| ~ sQ35_spl
| sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f8091]) ).
fof(f8093,plain,
( ~ sQ529_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f4288,f1083,f3003]) ).
fof(f8108,plain,
( sQ312_spl
| ~ sQ54_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f5438,f1050,f1089,f2070]) ).
fof(f8118,plain,
( ~ sQ306_spl
| ~ sQ54_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f4181,f1060,f1089,f2045]) ).
fof(f8134,plain,
( sQ315_spl
| ~ sQ319_spl
| ~ sQ93_spl
| op2(e23,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f8136,f2085]) ).
fof(f8136,plain,
( ~ sQ319_spl
| ~ sQ93_spl
| e21 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1249,f2101]) ).
fof(f8140,plain,
( ~ sQ434_spl
| ~ sQ319_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f4361,f2112,f2100,f2592]) ).
fof(f8162,plain,
( ~ sQ323_spl
| ~ sQ319_spl
| ~ sQ93_spl
| op2(e23,e21) = e23 ),
inference(forward_demodulation,[status(thm)],[f8136,f2117]) ).
fof(f8163,plain,
( ~ sQ323_spl
| ~ sQ319_spl
| ~ sQ93_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f8136,f8162]) ).
fof(f8164,plain,
( ~ sQ323_spl
| ~ sQ319_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8163,f222]) ).
fof(f8165,plain,
( ~ sQ323_spl
| ~ sQ319_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f8164]) ).
fof(f8167,plain,
( ~ sQ428_spl
| ~ sQ541_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f5750,f1228,f3056,f2566]) ).
fof(f8168,plain,
( ~ sQ429_spl
| ~ sQ541_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f5749,f1228,f3056,f2570]) ).
fof(f8169,plain,
( ~ sQ434_spl
| ~ sQ541_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f5754,f1277,f3056,f2592]) ).
fof(f8179,plain,
( ~ sQ447_spl
| ~ sQ90_spl
| op2(e22,e21) = e22 ),
inference(backward_demodulation,[status(thm)],[f1239,f2649]) ).
fof(f8184,plain,
( ~ sQ320_spl
| ~ sQ319_spl
| ~ sQ93_spl
| op2(e20,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f8136,f2105]) ).
fof(f8185,plain,
( ~ sQ320_spl
| ~ sQ319_spl
| ~ sQ93_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f3151,f8184]) ).
fof(f8186,plain,
( ~ sQ320_spl
| ~ sQ319_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8185,f220]) ).
fof(f8187,plain,
( ~ sQ320_spl
| ~ sQ319_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f8186]) ).
fof(f8191,plain,
( ~ sQ339_spl
| ~ sQ76_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f7769,f1206,f1193,f2184]) ).
fof(f8194,plain,
( sQ387_spl
| ~ sQ36_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f5280,f1079,f1031,f2392]) ).
fof(f8196,plain,
( sQ251_spl
| ~ sQ110_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f7044,f1342,f1303,f1812]) ).
fof(f8206,plain,
( ~ sQ397_spl
| ~ sQ100_spl
| ~ sQ339_spl
| ~ sQ76_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f5634,f7200]) ).
fof(f8207,plain,
( ~ sQ397_spl
| ~ sQ100_spl
| ~ sQ339_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8206,f220]) ).
fof(f8208,plain,
( ~ sQ397_spl
| ~ sQ100_spl
| ~ sQ339_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f8207]) ).
fof(f8219,plain,
( ~ sQ190_spl
| ~ sQ211_spl
| e23 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f1670,f3975]) ).
fof(f8228,plain,
( ~ sQ377_spl
| ~ sQ190_spl
| ~ sQ211_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f7272,f1358,f1669,f1604,f2350]) ).
fof(f8243,plain,
( ~ sQ346_spl
| ~ sQ47_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f7798,f1105,f1066,f2213]) ).
fof(f8244,plain,
( sQ363_spl
| ~ sQ548_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f4511,f1050,f3089,f2287]) ).
fof(f8246,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f6990,f1047,f1021]) ).
fof(f8252,plain,
( sQ154_spl
| ~ sQ211_spl
| h1(op1(e12,e12)) != e23 ),
inference(forward_demodulation,[status(thm)],[f1670,f3240]) ).
fof(f8265,plain,
( ~ sQ420_spl
| ~ sQ309_spl
| op1(op1(e13,e11),e11) = e13 ),
inference(backward_demodulation,[status(thm)],[f2059,f2532]) ).
fof(f8270,plain,
( ~ sQ110_spl
| ~ sQ211_spl
| h3(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f6783,f1304]) ).
fof(f8271,plain,
( ~ sQ110_spl
| ~ sQ211_spl
| sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8270,f1976]) ).
fof(f8272,plain,
( ~ sQ110_spl
| ~ sQ211_spl
| sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f8271]) ).
fof(f8276,plain,
( ~ sQ247_spl
| ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f1343,f1796]) ).
fof(f8284,plain,
( ~ sQ399_spl
| ~ sQ33_spl
| op1(e12,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f1022,f2444]) ).
fof(f8291,plain,
( sQ400_spl
| ~ sQ33_spl
| op1(e11,e12) != e10 ),
inference(forward_demodulation,[status(thm)],[f1022,f2449]) ).
fof(f8325,plain,
( ~ sQ42_spl
| op1(e11,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f1051,f131]) ).
fof(f8336,plain,
( ~ sQ476_spl
| ~ sQ16_spl
| op1(e10,e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f967,f2777]) ).
fof(f8348,plain,
( ~ sQ477_spl
| ~ sQ16_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f4733,f969,f966,f2780]) ).
fof(f8350,plain,
( ~ sQ278_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f7092,f1212,f1927]) ).
fof(f8355,plain,
( ~ sQ167_spl
| ~ sQ278_spl
| e22 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f8367,f3991]) ).
fof(f8360,plain,
( ~ sQ167_spl
| ~ sQ278_spl
| h2(e11) = op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f8367,f3156]) ).
fof(f8367,plain,
( ~ sQ167_spl
| ~ sQ278_spl
| e22 = h2(e12) ),
inference(forward_demodulation,[status(thm)],[f3991,f7095]) ).
fof(f8375,plain,
( sQ380_spl
| ~ sQ399_spl
| ~ sQ33_spl
| op1(e10,e12) != e11 ),
inference(forward_demodulation,[status(thm)],[f8284,f2365]) ).
fof(f8376,plain,
( sQ380_spl
| ~ sQ399_spl
| ~ sQ33_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f3126,f8375]) ).
fof(f8377,plain,
( sQ380_spl
| ~ sQ399_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8376]) ).
fof(f8378,plain,
( sQ380_spl
| ~ sQ399_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f8377]) ).
fof(f8399,plain,
( ~ sQ239_spl
| ~ sQ56_spl
| op1(e10,e12) = e13 ),
inference(backward_demodulation,[status(thm)],[f1097,f1762]) ).
fof(f8403,plain,
( sQ245_spl
| ~ sQ56_spl
| op1(e13,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1097,f1788]) ).
fof(f8408,plain,
( sQ552_spl
| e22 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f266,f3110]) ).
fof(f8409,plain,
( sQ552_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f266,f8408]) ).
fof(f8410,plain,
( sQ552_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8409]) ).
fof(f8411,plain,
sQ552_spl,
inference(contradiction_clause,[status(thm)],[f8410]) ).
fof(f8416,plain,
( sQ383_spl
| ~ sQ399_spl
| ~ sQ33_spl
| op1(e11,e12) != e10 ),
inference(forward_demodulation,[status(thm)],[f8284,f2378]) ).
fof(f8419,plain,
( sQ435_spl
| ~ sQ93_spl
| op2(e23,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f1249,f2598]) ).
fof(f8420,plain,
( sQ379_spl
| ~ sQ399_spl
| ~ sQ33_spl
| op1(e12,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f8284,f2361]) ).
fof(f8421,plain,
( sQ379_spl
| ~ sQ399_spl
| ~ sQ33_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1022,f8420]) ).
fof(f8422,plain,
( sQ379_spl
| ~ sQ399_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8421]) ).
fof(f8423,plain,
( sQ379_spl
| ~ sQ399_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f8422]) ).
fof(f8430,plain,
( ~ sQ433_spl
| ~ sQ93_spl
| op2(e21,e21) = e21 ),
inference(forward_demodulation,[status(thm)],[f1249,f2589]) ).
fof(f8431,plain,
( ~ sQ137_spl
| op2(e23,h4(e12)) = e23 ),
inference(forward_demodulation,[status(thm)],[f282,f1430]) ).
fof(f8432,plain,
( ~ sQ137_spl
| ~ sQ215_spl
| h4(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f5116,f8431]) ).
fof(f8433,plain,
( ~ sQ137_spl
| ~ sQ215_spl
| sQ233_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8432,f1740]) ).
fof(f8434,plain,
( ~ sQ137_spl
| ~ sQ215_spl
| sQ233_spl ),
inference(contradiction_clause,[status(thm)],[f8433]) ).
fof(f8449,plain,
( ~ sQ355_spl
| ~ sQ251_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f5520,f1803,f1812,f2252]) ).
fof(f8462,plain,
( ~ sQ390_spl
| ~ sQ101_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f6263,f1235,f1274,f2405]) ).
fof(f8474,plain,
( ~ sQ101_spl
| e21 != h3(e12) ),
inference(backward_demodulation,[status(thm)],[f1275,f3165]) ).
fof(f8476,plain,
( ~ sQ101_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f6343,f1300,f1274]) ).
fof(f8478,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1275,f1278]) ).
fof(f8479,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8478,f221]) ).
fof(f8480,plain,
( ~ sQ102_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f8479]) ).
fof(f8484,plain,
( sQ327_spl
| ~ sQ387_spl
| ~ sQ399_spl
| ~ sQ33_spl
| op1(e13,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f8495,f2135]) ).
fof(f8495,plain,
( ~ sQ387_spl
| ~ sQ399_spl
| ~ sQ33_spl
| op1(e13,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f8284,f2393]) ).
fof(f8525,plain,
( ~ sQ305_spl
| ~ sQ54_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f4180,f1099,f1089,f2041]) ).
fof(f8526,plain,
( sQ309_spl
| ~ sQ54_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f5443,f1011,f1089,f2058]) ).
fof(f8532,plain,
( ~ sQ316_spl
| ~ sQ538_spl
| op2(e20,e23) = e21 ),
inference(forward_demodulation,[status(thm)],[f4273,f2088]) ).
fof(f8533,plain,
( ~ sQ316_spl
| ~ sQ538_spl
| ~ sQ76_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1194,f8532]) ).
fof(f8534,plain,
( ~ sQ316_spl
| ~ sQ538_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8533,f218]) ).
fof(f8535,plain,
( ~ sQ316_spl
| ~ sQ538_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f8534]) ).
fof(f8547,plain,
( sQ455_spl
| ~ sQ21_spl
| op1(e11,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f983,f2685]) ).
fof(f8552,plain,
( sQ364_spl
| ~ sQ42_spl
| op1(e12,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f1051,f2293]) ).
fof(f8553,plain,
( sQ364_spl
| ~ sQ42_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f1051,f8552]) ).
fof(f8554,plain,
( sQ364_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8553]) ).
fof(f8555,plain,
( sQ364_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f8554]) ).
fof(f8567,plain,
( ~ sQ376_spl
| ~ sQ190_spl
| op2(e21,h3(e12)) = e21 ),
inference(forward_demodulation,[status(thm)],[f3975,f2346]) ).
fof(f8571,plain,
( ~ sQ329_spl
| ~ sQ12_spl
| ~ sQ387_spl
| ~ sQ399_spl
| ~ sQ33_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f8495,f5566]) ).
fof(f8572,plain,
( ~ sQ329_spl
| ~ sQ12_spl
| ~ sQ387_spl
| ~ sQ399_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8571,f214]) ).
fof(f8573,plain,
( ~ sQ329_spl
| ~ sQ12_spl
| ~ sQ387_spl
| ~ sQ399_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f8572]) ).
fof(f8579,plain,
( sQ252_spl
| ~ sQ123_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f7922,f1193,f1345,f1816]) ).
fof(f8590,plain,
( ~ sQ376_spl
| ~ sQ190_spl
| ~ sQ282_spl
| op2(e21,e20) = e21 ),
inference(backward_demodulation,[status(thm)],[f8600,f8567]) ).
fof(f8591,plain,
( ~ sQ372_spl
| ~ sQ190_spl
| ~ sQ282_spl
| op2(e20,e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f8600,f4913]) ).
fof(f8592,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| e20 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f8600,f3975]) ).
fof(f8594,plain,
( sQ377_spl
| ~ sQ190_spl
| ~ sQ282_spl
| op2(e23,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f8600,f5112]) ).
fof(f8599,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| h3(e11) = op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f8600,f3163]) ).
fof(f8600,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| e20 = h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3975,f7825]) ).
fof(f8612,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| h2(e11) = op2(e21,h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f8622,f3156]) ).
fof(f8616,plain,
( ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ463_spl
| h2(e13) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f8622,f3991]) ).
fof(f8622,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| h2(e13) = h2(e12) ),
inference(forward_demodulation,[status(thm)],[f3991,f8004]) ).
fof(f8629,plain,
( ~ sQ463_spl
| ~ sQ167_spl
| e21 = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f3156,f8009]) ).
fof(f8636,plain,
( sQ170_spl
| ~ sQ12_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f7603,f6156]) ).
fof(f8637,plain,
( sQ170_spl
| ~ sQ12_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8636]) ).
fof(f8638,plain,
( sQ170_spl
| ~ sQ12_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl ),
inference(contradiction_clause,[status(thm)],[f8637]) ).
fof(f8648,plain,
( ~ sQ506_spl
| ~ sQ76_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f4323,f1264,f1193,f2904]) ).
fof(f8656,plain,
( ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| h3(e13) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f6575,f4577]) ).
fof(f8666,plain,
( ~ sQ93_spl
| op2(e21,e20) != e21 ),
inference(backward_demodulation,[status(thm)],[f1249,f196]) ).
fof(f8672,plain,
( sQ435_spl
| ~ sQ93_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f8419,f1332,f1248,f2596]) ).
fof(f8684,plain,
( sQ151_spl
| ~ sQ541_spl
| ~ sQ29_spl
| h1(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f1009,f5748]) ).
fof(f8685,plain,
( sQ151_spl
| ~ sQ541_spl
| ~ sQ29_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3152,f8684]) ).
fof(f8686,plain,
( sQ151_spl
| ~ sQ541_spl
| ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8685]) ).
fof(f8687,plain,
( sQ151_spl
| ~ sQ541_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f8686]) ).
fof(f8688,plain,
( ~ sQ29_spl
| op1(e11,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f1009,f148]) ).
fof(f8694,plain,
( ~ sQ12_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f5552,f1109,f953]) ).
fof(f8698,plain,
( sQ238_spl
| ~ sQ59_spl
| op1(e13,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f1106,f1759]) ).
fof(f8723,plain,
( sQ455_spl
| ~ sQ20_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4236,f969,f979,f2683]) ).
fof(f8745,plain,
( sQ156_spl
| ~ sQ49_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f4753,f1313,f1073,f1494]) ).
fof(f8767,plain,
( ~ sQ326_spl
| ~ sQ49_spl
| op1(e11,e13) = e10 ),
inference(backward_demodulation,[status(thm)],[f1074,f2130]) ).
fof(f8771,plain,
( ~ sQ49_spl
| e11 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f1074,f160]) ).
fof(f8775,plain,
( ~ sQ49_spl
| op1(e11,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f1074,f120]) ).
fof(f8782,plain,
( ~ sQ17_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f970,f8688]) ).
fof(f8783,plain,
( ~ sQ17_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f8782]) ).
fof(f8784,plain,
( ~ sQ369_spl
| ~ sQ42_spl
| op1(e13,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f1051,f2315]) ).
fof(f8798,plain,
( sQ138_spl
| ~ sQ213_spl
| ~ sQ302_spl
| op2(e22,e23) != e23 ),
inference(backward_demodulation,[status(thm)],[f8803,f5202]) ).
fof(f8799,plain,
( ~ sQ215_spl
| ~ sQ213_spl
| ~ sQ302_spl
| h4(e11) = op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f8803,f5116]) ).
fof(f8803,plain,
( ~ sQ213_spl
| ~ sQ302_spl
| e22 = h4(e12) ),
inference(forward_demodulation,[status(thm)],[f282,f4478]) ).
fof(f8812,plain,
( ~ sQ190_spl
| ~ sQ191_spl
| ~ sQ371_spl
| h3(e12) = h3(e13) ),
inference(forward_demodulation,[status(thm)],[f6984,f3975]) ).
fof(f8821,plain,
( ~ sQ371_spl
| ~ sQ190_spl
| e22 = op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f6575,f3163]) ).
fof(f8822,plain,
( ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ191_spl
| e22 = op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f8812,f8821]) ).
fof(f8823,plain,
( ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ191_spl
| sQ193_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8822,f5708]) ).
fof(f8824,plain,
( ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ191_spl
| sQ193_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f8823]) ).
fof(f8837,plain,
( sQ249_spl
| ~ sQ123_spl
| op2(e23,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1346,f1805]) ).
fof(f8846,plain,
( ~ sQ255_spl
| ~ sQ123_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f6432,f1358,f1345,f1828]) ).
fof(f8853,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| h3(e11) != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f8599,f202]) ).
fof(f8854,plain,
( sQ97_spl
| ~ sQ190_spl
| ~ sQ282_spl
| h3(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f8599,f1263]) ).
fof(f8855,plain,
( ~ sQ409_spl
| ~ sQ190_spl
| ~ sQ282_spl
| op2(e22,h3(e11)) = e20 ),
inference(backward_demodulation,[status(thm)],[f8599,f2486]) ).
fof(f8858,plain,
( sQ98_spl
| ~ sQ190_spl
| ~ sQ282_spl
| h3(e11) != e22 ),
inference(backward_demodulation,[status(thm)],[f8599,f1266]) ).
fof(f8866,plain,
( ~ sQ538_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f4273,f1323,f3042]) ).
fof(f8867,plain,
( sQ321_spl
| ~ sQ538_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f6186,f1209,f3042,f2108]) ).
fof(f8876,plain,
( sQ391_spl
| ~ sQ102_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1278,f2411]) ).
fof(f8877,plain,
( sQ397_spl
| ~ sQ102_spl
| op2(e23,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1278,f2436]) ).
fof(f8878,plain,
( ~ sQ102_spl
| e22 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f1278,f204]) ).
fof(f8880,plain,
( sQ393_spl
| ~ sQ102_spl
| op2(e21,e22) != e22 ),
inference(forward_demodulation,[status(thm)],[f1278,f2420]) ).
fof(f8882,plain,
( sQ360_spl
| ~ sQ109_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f7404,f1277,f1300,f2274]) ).
fof(f8887,plain,
( ~ sQ358_spl
| ~ sQ109_spl
| op2(e20,e21) = e20 ),
inference(backward_demodulation,[status(thm)],[f1301,f2267]) ).
fof(f8894,plain,
( sQ359_spl
| ~ sQ109_spl
| op2(e21,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f1301,f2272]) ).
fof(f8895,plain,
( ~ sQ354_spl
| ~ sQ109_spl
| op2(e22,e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f1301,f2249]) ).
fof(f8907,plain,
( sQ237_spl
| ~ sQ549_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f4518,f1115,f3093,f1753]) ).
fof(f8909,plain,
( sQ247_spl
| ~ sQ123_spl
| op2(e23,e23) != e22 ),
inference(forward_demodulation,[status(thm)],[f1346,f1797]) ).
fof(f8910,plain,
( sQ247_spl
| ~ sQ123_spl
| ~ sQ126_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4012,f8909]) ).
fof(f8911,plain,
( sQ247_spl
| ~ sQ123_spl
| ~ sQ126_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8910]) ).
fof(f8912,plain,
( sQ247_spl
| ~ sQ123_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f8911]) ).
fof(f8945,plain,
( sQ383_spl
| ~ sQ399_spl
| ~ sQ33_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f8416,f992,f1021,f2443,f2376]) ).
fof(f8946,plain,
( sQ400_spl
| ~ sQ33_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f8291,f992,f1021,f2447]) ).
fof(f8972,plain,
( sQ238_spl
| ~ sQ241_spl
| ~ sQ47_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f7229,f1115,f1066,f1770,f1757]) ).
fof(f8988,plain,
( sQ306_spl
| ~ sQ309_spl
| ~ sQ477_spl
| ~ sQ475_spl
| op1(e11,e13) != e11 ),
inference(forward_demodulation,[status(thm)],[f7699,f2047]) ).
fof(f8989,plain,
( sQ306_spl
| ~ sQ309_spl
| ~ sQ477_spl
| ~ sQ475_spl
| ~ sQ29_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1009,f8988]) ).
fof(f8990,plain,
( sQ306_spl
| ~ sQ309_spl
| ~ sQ477_spl
| ~ sQ475_spl
| ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8989]) ).
fof(f8991,plain,
( sQ306_spl
| ~ sQ309_spl
| ~ sQ477_spl
| ~ sQ475_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f8990]) ).
fof(f8994,plain,
( sQ377_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f8594,f1319,f1944,f1604,f2350]) ).
fof(f9017,plain,
( sQ98_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ289_spl ),
inference(split_clause,[status(thm)],[f8858,f1974,f1944,f1604,f1264]) ).
fof(f9021,plain,
( ~ sQ416_spl
| ~ sQ190_spl
| ~ sQ282_spl
| op2(e22,h3(e11)) = e22 ),
inference(forward_demodulation,[status(thm)],[f8599,f2515]) ).
fof(f9022,plain,
( ~ sQ416_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ191_spl
| h3(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f4577,f9021]) ).
fof(f9023,plain,
( ~ sQ416_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ191_spl
| sQ291_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9022,f1984]) ).
fof(f9024,plain,
( ~ sQ416_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ191_spl
| sQ291_spl ),
inference(contradiction_clause,[status(thm)],[f9023]) ).
fof(f9079,plain,
( ~ sQ290_spl
| ~ sQ190_spl
| ~ sQ191_spl
| h3(e11) = h3(e13) ),
inference(forward_demodulation,[status(thm)],[f4577,f7494]) ).
fof(f9110,plain,
( ~ sQ326_spl
| ~ sQ49_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f8767,f1005,f1073,f2129]) ).
fof(f9112,plain,
( ~ sQ49_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f8771,f1112,f1073]) ).
fof(f9114,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f8775,f969,f1073]) ).
fof(f9139,plain,
( ~ sQ26_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f999,f8325]) ).
fof(f9140,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f9139]) ).
fof(f9141,plain,
( sQ129_spl
| ~ sQ61_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f8079,f1092,f1112,f1397]) ).
fof(f9153,plain,
( sQ346_spl
| ~ sQ46_spl
| op1(e12,e12) != e13 ),
inference(forward_demodulation,[status(thm)],[f1064,f2215]) ).
fof(f9155,plain,
( ~ sQ32_spl
| ~ sQ35_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f1028,f1019]) ).
fof(f9156,plain,
( ~ sQ32_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9155,f214]) ).
fof(f9157,plain,
( ~ sQ32_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f9156]) ).
fof(f9160,plain,
( ~ sQ93_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f8666,f1209,f1248]) ).
fof(f9173,plain,
( ~ sQ433_spl
| ~ sQ93_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f8430,f1222,f1248,f2588]) ).
fof(f9174,plain,
( ~ sQ541_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f5746,f1209,f3056]) ).
fof(f9197,plain,
( sQ251_spl
| ~ sQ123_spl
| op2(e22,e23) != e23 ),
inference(backward_demodulation,[status(thm)],[f1346,f1814]) ).
fof(f9205,plain,
( sQ97_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ285_spl ),
inference(split_clause,[status(thm)],[f8854,f1957,f1944,f1604,f1261]) ).
fof(f9223,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| e20 = h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3975,f8592]) ).
fof(f9225,plain,
( ~ sQ410_spl
| ~ sQ190_spl
| ~ sQ282_spl
| op2(h3(e11),e22) = e20 ),
inference(backward_demodulation,[status(thm)],[f8599,f2490]) ).
fof(f9236,plain,
( ~ sQ372_spl
| ~ sQ190_spl
| ~ sQ282_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f8591,f1186,f1944,f1604,f2327]) ).
fof(f9239,plain,
( sQ482_spl
| ~ sQ376_spl
| ~ sQ190_spl
| ~ sQ282_spl
| op2(e21,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f8590,f2803]) ).
fof(f9243,plain,
( sQ488_spl
| ~ sQ376_spl
| ~ sQ190_spl
| ~ sQ282_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f8590,f2828]) ).
fof(f9264,plain,
( sQ319_spl
| ~ sQ93_spl
| e21 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1249,f2102]) ).
fof(f9267,plain,
( ~ sQ99_spl
| ~ sQ190_spl
| ~ sQ282_spl
| h3(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f8599,f1268]) ).
fof(f9268,plain,
( ~ sQ99_spl
| ~ sQ190_spl
| ~ sQ282_spl
| sQ210_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9267,f1667]) ).
fof(f9269,plain,
( ~ sQ99_spl
| ~ sQ190_spl
| ~ sQ282_spl
| sQ210_spl ),
inference(contradiction_clause,[status(thm)],[f9268]) ).
fof(f9280,plain,
( ~ sQ191_spl
| ~ sQ291_spl
| e22 = op2(e22,h3(e11)) ),
inference(backward_demodulation,[status(thm)],[f9282,f4577]) ).
fof(f9282,plain,
( ~ sQ191_spl
| ~ sQ291_spl
| e22 = h3(e13) ),
inference(forward_demodulation,[status(thm)],[f4577,f7847]) ).
fof(f9309,plain,
( ~ sQ167_spl
| ~ sQ84_spl
| e20 = h2(e12) ),
inference(forward_demodulation,[status(thm)],[f3991,f4116]) ).
fof(f9310,plain,
( ~ sQ167_spl
| ~ sQ84_spl
| sQ270_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9309,f1895]) ).
fof(f9311,plain,
( ~ sQ167_spl
| ~ sQ84_spl
| sQ270_spl ),
inference(contradiction_clause,[status(thm)],[f9310]) ).
fof(f9326,plain,
( ~ sQ84_spl
| ~ sQ167_spl
| h2(e11) = op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f4120,f3156]) ).
fof(f9340,plain,
( ~ sQ369_spl
| ~ sQ42_spl
| op1(e11,e12) != e13 ),
inference(forward_demodulation,[status(thm)],[f8784,f132]) ).
fof(f9344,plain,
( ~ sQ369_spl
| ~ sQ42_spl
| op1(e13,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f8784,f159]) ).
fof(f9363,plain,
( sQ439_spl
| ~ sQ24_spl
| op1(e10,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f993,f2615]) ).
fof(f9720,plain,
( ~ sQ383_spl
| ~ sQ24_spl
| e10 = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f993,f2377]) ).
fof(f9728,plain,
( ~ sQ379_spl
| ~ sQ383_spl
| ~ sQ24_spl
| op1(e12,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f993,f3751]) ).
fof(f9737,plain,
( ~ sQ380_spl
| ~ sQ383_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f3750,f2613,f2376,f2363]) ).
fof(f9738,plain,
( ~ sQ515_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f3908,f1037,f2943]) ).
fof(f9761,plain,
( ~ sQ350_spl
| ~ sQ47_spl
| op1(e11,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f1067,f2232]) ).
fof(f9791,plain,
( sQ548_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3959,f1050,f3089]) ).
fof(f9843,plain,
( sQ251_spl
| ~ sQ123_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f9197,f1306,f1345,f1812]) ).
fof(f9935,plain,
( sQ393_spl
| ~ sQ102_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f8880,f1238,f1277,f2418]) ).
fof(f9947,plain,
( ~ sQ215_spl
| ~ sQ213_spl
| ~ sQ302_spl
| ~ sQ123_spl
| h4(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f1346,f8799]) ).
fof(f9948,plain,
( ~ sQ215_spl
| ~ sQ213_spl
| ~ sQ302_spl
| ~ sQ123_spl
| sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9947,f6471]) ).
fof(f9949,plain,
( ~ sQ215_spl
| ~ sQ213_spl
| ~ sQ302_spl
| ~ sQ123_spl
| sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f9948]) ).
fof(f10190,plain,
( sQ249_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f8837,f1345,f1803]) ).
fof(f10195,plain,
( ~ sQ513_spl
| op1(e10,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f3126,f2936]) ).
fof(f10196,plain,
( ~ sQ513_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f3138,f10195]) ).
fof(f10197,plain,
( ~ sQ513_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10196,f214]) ).
fof(f10198,plain,
~ sQ513_spl,
inference(contradiction_clause,[status(thm)],[f10197]) ).
fof(f10215,plain,
( ~ sQ420_spl
| ~ sQ29_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f7275,f988,f1008,f2531]) ).
fof(f10216,plain,
( ~ sQ420_spl
| ~ sQ309_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f8265,f2049,f2058,f2531]) ).
fof(f10217,plain,
( ~ sQ420_spl
| ~ sQ477_spl
| ~ sQ475_spl
| op1(e11,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f3689,f2532]) ).
fof(f10218,plain,
( ~ sQ420_spl
| ~ sQ477_spl
| ~ sQ475_spl
| ~ sQ22_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f986,f10217]) ).
fof(f10219,plain,
( ~ sQ420_spl
| ~ sQ477_spl
| ~ sQ475_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10218,f217]) ).
fof(f10220,plain,
( ~ sQ420_spl
| ~ sQ477_spl
| ~ sQ475_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f10219]) ).
fof(f10241,plain,
( sQ150_spl
| ~ sQ90_spl
| h1(op1(e11,e12)) != e22 ),
inference(forward_demodulation,[status(thm)],[f1239,f3248]) ).
fof(f10264,plain,
( sQ456_spl
| ~ sQ22_spl
| op1(e12,e11) != e11 ),
inference(forward_demodulation,[status(thm)],[f986,f2689]) ).
fof(f10270,plain,
( sQ460_spl
| ~ sQ22_spl
| op1(e12,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f986,f2708]) ).
fof(f10271,plain,
( sQ460_spl
| ~ sQ22_spl
| ~ sQ42_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f1051,f10270]) ).
fof(f10272,plain,
( sQ460_spl
| ~ sQ22_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10271]) ).
fof(f10273,plain,
( sQ460_spl
| ~ sQ22_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f10272]) ).
fof(f10280,plain,
( ~ sQ369_spl
| ~ sQ42_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f9344,f1079,f1050,f2314]) ).
fof(f10306,plain,
( ~ sQ309_spl
| ~ sQ350_spl
| ~ sQ47_spl
| e11 = op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f9761,f2059]) ).
fof(f10353,plain,
( ~ sQ270_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f4802,f1206,f1893]) ).
fof(f10360,plain,
( sQ59_spl
| ~ sQ369_spl
| ~ sQ42_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f8784,f1107]) ).
fof(f10361,plain,
( sQ59_spl
| ~ sQ369_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10360]) ).
fof(f10362,plain,
( sQ59_spl
| ~ sQ369_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f10361]) ).
fof(f10368,plain,
( sQ481_spl
| ~ sQ84_spl
| ~ sQ167_spl
| op2(e21,h2(e11)) != e20 ),
inference(backward_demodulation,[status(thm)],[f9326,f2799]) ).
fof(f10390,plain,
( sQ414_spl
| ~ sQ99_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f4876,f1193,f1267,f2506]) ).
fof(f10428,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ99_spl
| e23 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f9267,f8853]) ).
fof(f10471,plain,
( ~ sQ101_spl
| ~ sQ286_spl ),
inference(split_clause,[status(thm)],[f8474,f1961,f1274]) ).
fof(f10475,plain,
( sQ389_spl
| ~ sQ101_spl
| op2(e22,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f1275,f2403]) ).
fof(f10507,plain,
( ~ sQ476_spl
| ~ sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f8336,f914,f966,f2776]) ).
fof(f10554,plain,
( ~ sQ286_spl
| ~ sQ190_spl
| ~ sQ282_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f9223,f1962]) ).
fof(f10555,plain,
( ~ sQ286_spl
| ~ sQ190_spl
| ~ sQ282_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10554,f218]) ).
fof(f10556,plain,
( ~ sQ286_spl
| ~ sQ190_spl
| ~ sQ282_spl ),
inference(contradiction_clause,[status(thm)],[f10555]) ).
fof(f10567,plain,
( sQ442_spl
| ~ sQ27_spl
| op1(e11,e13) != e11 ),
inference(backward_demodulation,[status(thm)],[f1002,f2629]) ).
fof(f10568,plain,
( ~ sQ439_spl
| ~ sQ27_spl
| op1(e13,e12) = e11 ),
inference(backward_demodulation,[status(thm)],[f1002,f2614]) ).
fof(f10570,plain,
( sQ441_spl
| ~ sQ27_spl
| op1(e10,e13) != e10 ),
inference(backward_demodulation,[status(thm)],[f1002,f2625]) ).
fof(f10576,plain,
( sQ327_spl
| ~ sQ387_spl
| ~ sQ399_spl
| ~ sQ33_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f8484,f1079,f1021,f2443,f2392,f2133]) ).
fof(f10589,plain,
( sQ355_spl
| ~ sQ110_spl
| op2(e22,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f1304,f2254]) ).
fof(f10592,plain,
( sQ316_spl
| ~ sQ118_spl
| op2(e22,e23) != e21 ),
inference(forward_demodulation,[status(thm)],[f1330,f2089]) ).
fof(f10596,plain,
( sQ245_spl
| ~ sQ56_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f8403,f1079,f1096,f1786]) ).
fof(f10606,plain,
( ~ sQ239_spl
| ~ sQ56_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f8399,f949,f1096,f1761]) ).
fof(f10636,plain,
( ~ sQ254_spl
| ~ sQ123_spl
| op2(e22,e23) = e22 ),
inference(forward_demodulation,[status(thm)],[f1346,f1825]) ).
fof(f10642,plain,
( ~ sQ214_spl
| ~ sQ233_spl
| h4(e13) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1739,f4537]) ).
fof(f10649,plain,
( ~ sQ214_spl
| ~ sQ233_spl
| h4(e12) = h4(e13) ),
inference(forward_demodulation,[status(thm)],[f10642,f282]) ).
fof(f10656,plain,
( sQ272_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f272,f1904]) ).
fof(f10657,plain,
( sQ272_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10656]) ).
fof(f10658,plain,
sQ272_spl,
inference(contradiction_clause,[status(thm)],[f10657]) ).
fof(f10662,plain,
( sQ428_spl
| ~ sQ95_spl
| op2(e21,e23) != e23 ),
inference(forward_demodulation,[status(thm)],[f1255,f2568]) ).
fof(f10663,plain,
( sQ428_spl
| ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1255,f10662]) ).
fof(f10664,plain,
( sQ428_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10663]) ).
fof(f10665,plain,
( sQ428_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f10664]) ).
fof(f10713,plain,
( sQ442_spl
| ~ sQ27_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f10567,f1008,f1001,f2627]) ).
fof(f10714,plain,
( ~ sQ439_spl
| ~ sQ27_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f10568,f1099,f1001,f2613]) ).
fof(f10715,plain,
( sQ441_spl
| ~ sQ27_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f10570,f953,f1001,f2623]) ).
fof(f10724,plain,
( sQ456_spl
| ~ sQ22_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f10264,f1034,f985,f2687]) ).
fof(f10762,plain,
( ~ sQ254_spl
| ~ sQ123_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f10636,f1303,f1345,f1824]) ).
fof(f10827,plain,
( sQ93_spl
| ~ sQ319_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f7378,f1326,f2100,f1248]) ).
fof(f10828,plain,
( ~ sQ319_spl
| ~ sQ109_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f7402,f1326,f1300,f2100]) ).
fof(f10835,plain,
( sQ134_spl
| ~ sQ63_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f7344,f1008,f1118,f1417]) ).
fof(f10843,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3442,f1092,f1118]) ).
fof(f10888,plain,
( ~ sQ358_spl
| ~ sQ109_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f8887,f1167,f1300,f2266]) ).
fof(f10894,plain,
( ~ sQ354_spl
| ~ sQ109_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f8895,f1280,f1300,f2248]) ).
fof(f10922,plain,
( sQ237_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4924,f1102,f1753]) ).
fof(f10926,plain,
( sQ241_spl
| ~ sQ58_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f7411,f1063,f1102,f1770]) ).
fof(f10944,plain,
( sQ310_spl
| ~ sQ55_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f5898,f953,f1092,f2062]) ).
fof(f10963,plain,
( sQ130_spl
| ~ sQ63_spl
| op1(e13,e13) != e13 ),
inference(forward_demodulation,[status(thm)],[f1119,f1403]) ).
fof(f10964,plain,
( sQ130_spl
| ~ sQ63_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f1119,f10963]) ).
fof(f10965,plain,
( sQ130_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10964]) ).
fof(f10966,plain,
( sQ130_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f10965]) ).
fof(f10968,plain,
( sQ356_spl
| ~ sQ109_spl
| op2(e21,e23) != e22 ),
inference(forward_demodulation,[status(thm)],[f1301,f2258]) ).
fof(f11018,plain,
( sQ341_spl
| ~ sQ339_spl
| ~ sQ76_spl
| op2(e21,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f5634,f2194]) ).
fof(f11019,plain,
( sQ341_spl
| ~ sQ339_spl
| ~ sQ76_spl
| ~ sQ81_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1210,f11018]) ).
fof(f11020,plain,
( sQ341_spl
| ~ sQ339_spl
| ~ sQ76_spl
| ~ sQ81_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11019]) ).
fof(f11021,plain,
( sQ341_spl
| ~ sQ339_spl
| ~ sQ76_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f11020]) ).
fof(f11023,plain,
( ~ sQ327_spl
| ~ sQ49_spl
| op1(e11,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f1074,f2134]) ).
fof(f11024,plain,
( ~ sQ327_spl
| ~ sQ49_spl
| ~ sQ16_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f967,f11023]) ).
fof(f11025,plain,
( ~ sQ327_spl
| ~ sQ49_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11024,f214]) ).
fof(f11026,plain,
( ~ sQ327_spl
| ~ sQ49_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f11025]) ).
fof(f11028,plain,
( ~ sQ330_spl
| ~ sQ49_spl
| op1(e10,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f1074,f2147]) ).
fof(f11029,plain,
( ~ sQ330_spl
| ~ sQ49_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f3138,f11028]) ).
fof(f11030,plain,
( ~ sQ330_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11029,f214]) ).
fof(f11031,plain,
( ~ sQ330_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f11030]) ).
fof(f11032,plain,
( ~ sQ244_spl
| ~ sQ58_spl
| op1(e12,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f1103,f1783]) ).
fof(f11033,plain,
( ~ sQ244_spl
| ~ sQ58_spl
| ~ sQ40_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1045,f11032]) ).
fof(f11034,plain,
( ~ sQ244_spl
| ~ sQ58_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11033,f213]) ).
fof(f11035,plain,
( ~ sQ244_spl
| ~ sQ58_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f11034]) ).
fof(f11036,plain,
( ~ sQ419_spl
| ~ sQ29_spl
| op1(e11,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f1009,f2528]) ).
fof(f11037,plain,
( ~ sQ419_spl
| ~ sQ29_spl
| ~ sQ22_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f986,f11036]) ).
fof(f11038,plain,
( ~ sQ419_spl
| ~ sQ29_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11037,f217]) ).
fof(f11039,plain,
( ~ sQ419_spl
| ~ sQ29_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f11038]) ).
fof(f11041,plain,
( ~ sQ415_spl
| ~ sQ99_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f4874,f1248,f1267,f2510]) ).
fof(f11042,plain,
( ~ sQ435_spl
| ~ sQ95_spl
| op2(e23,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f1255,f2597]) ).
fof(f11043,plain,
( ~ sQ411_spl
| ~ sQ99_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f4879,f1316,f1267,f2493]) ).
fof(f11044,plain,
( ~ sQ337_spl
| ~ sQ339_spl
| ~ sQ76_spl
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f5634,f2176]) ).
fof(f11045,plain,
( ~ sQ337_spl
| ~ sQ339_spl
| ~ sQ76_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f266,f11044]) ).
fof(f11046,plain,
( ~ sQ337_spl
| ~ sQ339_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11045,f223]) ).
fof(f11047,plain,
( ~ sQ337_spl
| ~ sQ339_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f11046]) ).
fof(f11083,plain,
( ~ sQ410_spl
| ~ sQ99_spl
| op2(e23,e22) = e20 ),
inference(backward_demodulation,[status(thm)],[f1268,f2490]) ).
fof(f11128,plain,
( ~ sQ191_spl
| ~ sQ210_spl
| h3(e13) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1666,f4577]) ).
fof(f11157,plain,
( sQ479_spl
| ~ sQ16_spl
| op1(e13,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f967,f2790]) ).
fof(f11164,plain,
( ~ sQ363_spl
| ~ sQ40_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f1045,f2288]) ).
fof(f11165,plain,
( ~ sQ363_spl
| ~ sQ40_spl
| ~ sQ35_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1028,f11164]) ).
fof(f11166,plain,
( ~ sQ363_spl
| ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11165,f217]) ).
fof(f11167,plain,
( ~ sQ363_spl
| ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f11166]) ).
fof(f11183,plain,
( sQ432_spl
| ~ sQ95_spl
| op2(e20,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f1255,f2586]) ).
fof(f11184,plain,
( sQ432_spl
| ~ sQ95_spl
| ~ sQ76_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1194,f11183]) ).
fof(f11185,plain,
( sQ432_spl
| ~ sQ95_spl
| ~ sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11184]) ).
fof(f11186,plain,
( sQ432_spl
| ~ sQ95_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f11185]) ).
fof(f11239,plain,
( sQ482_spl
| ~ sQ376_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f9239,f1219,f1944,f1604,f2345,f2801]) ).
fof(f11240,plain,
( ~ sQ410_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ210_spl
| op2(e23,e22) = e20 ),
inference(forward_demodulation,[status(thm)],[f1666,f9225]) ).
fof(f11241,plain,
( ~ sQ410_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ210_spl
| ~ sQ123_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1346,f11240]) ).
fof(f11242,plain,
( ~ sQ410_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ210_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11241,f220]) ).
fof(f11243,plain,
( ~ sQ410_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ210_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f11242]) ).
fof(f11278,plain,
( sQ389_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f10475,f1274,f2401]) ).
fof(f11297,plain,
( ~ sQ167_spl
| ~ sQ84_spl
| e20 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4120,f3991]) ).
fof(f11306,plain,
( sQ481_spl
| ~ sQ84_spl
| ~ sQ167_spl
| ~ sQ168_spl
| h2(e13) != e20 ),
inference(forward_demodulation,[status(thm)],[f5163,f10368]) ).
fof(f11308,plain,
( ~ sQ84_spl
| ~ sQ167_spl
| ~ sQ81_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f1210,f9326]) ).
fof(f11309,plain,
( ~ sQ84_spl
| ~ sQ167_spl
| ~ sQ81_spl
| sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11308,f1908]) ).
fof(f11310,plain,
( ~ sQ84_spl
| ~ sQ167_spl
| ~ sQ81_spl
| sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f11309]) ).
fof(f11335,plain,
( ~ sQ341_spl
| ~ sQ339_spl
| ~ sQ76_spl
| op2(e21,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f5634,f2193]) ).
fof(f11345,plain,
( ~ sQ191_spl
| ~ sQ291_spl
| ~ sQ210_spl
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1666,f9280]) ).
fof(f11360,plain,
( ~ sQ447_spl
| ~ sQ90_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f8179,f1277,f1238,f2648]) ).
fof(f11370,plain,
( ~ sQ323_spl
| ~ sQ118_spl
| op2(e23,e22) = e23 ),
inference(forward_demodulation,[status(thm)],[f1330,f2117]) ).
fof(f11403,plain,
( ~ sQ125_spl
| h4(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f282,f1353]) ).
fof(f11404,plain,
( ~ sQ125_spl
| sQ298_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11403,f2014]) ).
fof(f11405,plain,
( ~ sQ125_spl
| sQ298_spl ),
inference(contradiction_clause,[status(thm)],[f11404]) ).
fof(f11525,plain,
( ~ sQ312_spl
| ~ sQ53_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f6468,f1037,f1086,f2070]) ).
fof(f11614,plain,
( sQ479_spl
| ~ sQ16_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f11157,f1079,f966,f2788]) ).
fof(f11685,plain,
( ~ sQ510_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f4843,f972,f2921]) ).
fof(f11688,plain,
( ~ sQ312_spl
| ~ sQ309_spl
| ~ sQ350_spl
| ~ sQ47_spl
| op1(e12,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f10306,f2071]) ).
fof(f11689,plain,
( ~ sQ312_spl
| ~ sQ309_spl
| ~ sQ350_spl
| ~ sQ47_spl
| ~ sQ399_spl
| ~ sQ33_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f8284,f11688]) ).
fof(f11690,plain,
( ~ sQ312_spl
| ~ sQ309_spl
| ~ sQ350_spl
| ~ sQ47_spl
| ~ sQ399_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11689,f213]) ).
fof(f11691,plain,
( ~ sQ312_spl
| ~ sQ309_spl
| ~ sQ350_spl
| ~ sQ47_spl
| ~ sQ399_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f11690]) ).
fof(f11700,plain,
( sQ376_spl
| ~ sQ190_spl
| ~ sQ104_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f6248,f1209,f1284,f1604,f2345]) ).
fof(f11706,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| e21 = op2(e21,h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f8629,f8612]) ).
fof(f11710,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| h2(e13) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f8629,f5163]) ).
fof(f11754,plain,
( sQ447_spl
| ~ sQ90_spl
| op2(e22,e21) != e22 ),
inference(forward_demodulation,[status(thm)],[f1239,f2650]) ).
fof(f11795,plain,
( sQ437_spl
| ~ sQ27_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f7452,f1011,f1001,f2605]) ).
fof(f11834,plain,
( sQ149_spl
| ~ sQ20_spl
| ~ sQ270_spl ),
inference(split_clause,[status(thm)],[f6547,f1893,f979,f1473]) ).
fof(f11945,plain,
( sQ172_spl
| ~ sQ20_spl
| h2(e10) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f980,f1548]) ).
fof(f11946,plain,
( sQ172_spl
| ~ sQ20_spl
| e21 != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f272,f11945]) ).
fof(f11947,plain,
( sQ172_spl
| ~ sQ20_spl
| ~ sQ463_spl
| ~ sQ167_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f8629,f11946]) ).
fof(f11948,plain,
( sQ172_spl
| ~ sQ20_spl
| ~ sQ463_spl
| ~ sQ167_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f8629,f11947]) ).
fof(f11949,plain,
( sQ172_spl
| ~ sQ20_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl
| e21 != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f8616,f11948]) ).
fof(f12025,plain,
( ~ sQ316_spl
| ~ sQ118_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f6827,f1300,f1329,f2087]) ).
fof(f12027,plain,
( ~ sQ316_spl
| ~ sQ118_spl
| ~ sQ298_spl ),
inference(split_clause,[status(thm)],[f6833,f2012,f1329,f2087]) ).
fof(f12082,plain,
( ~ sQ167_spl
| ~ sQ84_spl
| ~ sQ168_spl
| ~ sQ463_spl
| e20 = h2(e13) ),
inference(forward_demodulation,[status(thm)],[f8616,f11297]) ).
fof(f12086,plain,
( sQ481_spl
| ~ sQ84_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ463_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f12082,f11306]) ).
fof(f12087,plain,
( sQ481_spl
| ~ sQ84_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ463_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12086]) ).
fof(f12088,plain,
( sQ481_spl
| ~ sQ84_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ463_spl ),
inference(contradiction_clause,[status(thm)],[f12087]) ).
fof(f12165,plain,
( ~ sQ191_spl
| ~ sQ291_spl
| ~ sQ210_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f11345,f1303,f1665,f1982,f1607]) ).
fof(f12209,plain,
( sQ351_spl
| ~ sQ45_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f5727,f1037,f1060,f2235]) ).
fof(f12252,plain,
( ~ sQ400_spl
| ~ sQ35_spl
| op1(e13,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f1028,f2448]) ).
fof(f12253,plain,
( ~ sQ400_spl
| ~ sQ35_spl
| ~ sQ58_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1103,f12252]) ).
fof(f12254,plain,
( ~ sQ400_spl
| ~ sQ35_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12253,f213]) ).
fof(f12255,plain,
( ~ sQ400_spl
| ~ sQ35_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f12254]) ).
fof(f12310,plain,
( sQ205_spl
| ~ sQ63_spl
| h3(e13) != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1119,f1651]) ).
fof(f12388,plain,
( sQ359_spl
| ~ sQ109_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f8894,f1222,f1300,f2270]) ).
fof(f12390,plain,
( ~ sQ109_spl
| ~ sQ191_spl
| ~ sQ210_spl
| h3(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f11128,f1301]) ).
fof(f12405,plain,
( sQ397_spl
| ~ sQ102_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f8877,f1345,f1277,f2434]) ).
fof(f12407,plain,
( sQ391_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f8876,f1277,f2409]) ).
fof(f12409,plain,
( ~ sQ102_spl
| sQ447_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1278,f11754]) ).
fof(f12410,plain,
( ~ sQ102_spl
| sQ447_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f12409]) ).
fof(f12414,plain,
( ~ sQ360_spl
| ~ sQ191_spl
| ~ sQ210_spl
| op2(e22,h3(e13)) = e22 ),
inference(forward_demodulation,[status(thm)],[f11128,f2275]) ).
fof(f12415,plain,
( ~ sQ360_spl
| ~ sQ191_spl
| ~ sQ210_spl
| sQ193_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12414,f5708]) ).
fof(f12416,plain,
( ~ sQ360_spl
| ~ sQ191_spl
| ~ sQ210_spl
| sQ193_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f12415]) ).
fof(f12426,plain,
( ~ sQ167_spl
| ~ sQ85_spl
| ~ sQ463_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f8629,f6865]) ).
fof(f12427,plain,
( ~ sQ167_spl
| ~ sQ85_spl
| ~ sQ463_spl
| ~ sQ168_spl
| e21 = h2(e13) ),
inference(forward_demodulation,[status(thm)],[f11710,f12426]) ).
fof(f12434,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 = h2(e12) ),
inference(backward_demodulation,[status(thm)],[f12443,f8622]) ).
fof(f12441,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f12443,f11710]) ).
fof(f12443,plain,
( ~ sQ167_spl
| ~ sQ85_spl
| ~ sQ168_spl
| ~ sQ463_spl
| e21 = h2(e13) ),
inference(forward_demodulation,[status(thm)],[f11710,f6867]) ).
fof(f12544,plain,
( ~ sQ355_spl
| ~ sQ191_spl
| ~ sQ210_spl
| op2(h3(e13),e22) = e23 ),
inference(forward_demodulation,[status(thm)],[f11128,f2253]) ).
fof(f12579,plain,
( ~ sQ346_spl
| ~ sQ45_spl
| op1(e11,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f1061,f2214]) ).
fof(f12584,plain,
( sQ288_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f276,f1972]) ).
fof(f12585,plain,
( sQ288_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12584]) ).
fof(f12586,plain,
sQ288_spl,
inference(contradiction_clause,[status(thm)],[f12585]) ).
fof(f12591,plain,
( sQ347_spl
| ~ sQ45_spl
| op1(e11,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f1061,f2219]) ).
fof(f12592,plain,
( sQ347_spl
| ~ sQ45_spl
| ~ sQ30_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f1012,f12591]) ).
fof(f12593,plain,
( sQ347_spl
| ~ sQ45_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12592]) ).
fof(f12594,plain,
( sQ347_spl
| ~ sQ45_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f12593]) ).
fof(f12595,plain,
( ~ sQ391_spl
| ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(backward_demodulation,[status(thm)],[f1278,f2410]) ).
fof(f12605,plain,
( ~ sQ214_spl
| ~ sQ137_spl
| ~ sQ215_spl
| h4(e13) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f8432,f4537]) ).
fof(f12612,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f5809,f1034,f1060]) ).
fof(f12619,plain,
( ~ sQ251_spl
| ~ sQ102_spl
| e22 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1278,f4024]) ).
fof(f12634,plain,
( sQ138_spl
| ~ sQ214_spl
| ~ sQ233_spl
| op2(h4(e13),e23) != e23 ),
inference(forward_demodulation,[status(thm)],[f10649,f5202]) ).
fof(f12640,plain,
( sQ180_spl
| ~ sQ54_spl
| ~ sQ463_spl
| ~ sQ167_spl
| h2(e12) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f8629,f5436]) ).
fof(f12658,plain,
( sQ157_spl
| ~ sQ54_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f5670,f1329,f1089,f1497]) ).
fof(f12672,plain,
( sQ180_spl
| ~ sQ54_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl
| h2(e13) != op2(h2(e13),e21) ),
inference(backward_demodulation,[status(thm)],[f8622,f12640]) ).
fof(f12692,plain,
( ~ sQ247_spl
| ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f8276,f1796]) ).
fof(f12699,plain,
( ~ sQ341_spl
| ~ sQ339_spl
| ~ sQ76_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f11335,f196]) ).
fof(f12731,plain,
( ~ sQ234_spl
| ~ sQ214_spl
| ~ sQ233_spl
| h4(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f10649,f1743]) ).
fof(f12742,plain,
( ~ sQ439_spl
| ~ sQ26_spl
| op1(e12,e12) = e11 ),
inference(backward_demodulation,[status(thm)],[f999,f2614]) ).
fof(f12745,plain,
( sQ196_spl
| ~ sQ26_spl
| h3(e12) != op2(h3(e11),h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f999,f1624]) ).
fof(f12746,plain,
( sQ437_spl
| ~ sQ26_spl
| op1(e11,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f999,f2607]) ).
fof(f12748,plain,
( sQ173_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ26_spl
| h2(e12) != e21 ),
inference(backward_demodulation,[status(thm)],[f999,f7598]) ).
fof(f12820,plain,
( sQ419_spl
| ~ sQ31_spl
| op1(e11,e13) != e13 ),
inference(forward_demodulation,[status(thm)],[f1015,f2529]) ).
fof(f12821,plain,
( sQ419_spl
| ~ sQ31_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f1015,f12820]) ).
fof(f12822,plain,
( sQ419_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12821]) ).
fof(f12823,plain,
( sQ419_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f12822]) ).
fof(f12845,plain,
( ~ sQ355_spl
| ~ sQ109_spl
| op2(e21,e22) = e23 ),
inference(backward_demodulation,[status(thm)],[f1301,f2253]) ).
fof(f12874,plain,
( ~ sQ167_spl
| ~ sQ85_spl
| ~ sQ463_spl
| ~ sQ168_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f12427,f1914,f1534,f2719,f1222,f1531]) ).
fof(f12875,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 = h2(e13) ),
inference(forward_demodulation,[status(thm)],[f8622,f12434]) ).
fof(f12876,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| sQ172_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12875,f11949]) ).
fof(f12877,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| sQ172_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f12876]) ).
fof(f12889,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 = h2(e12) ),
inference(backward_demodulation,[status(thm)],[f12896,f8622]) ).
fof(f12896,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 = h2(e13) ),
inference(forward_demodulation,[status(thm)],[f11710,f12441]) ).
fof(f12905,plain,
( sQ176_spl
| ~ sQ85_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ37_spl
| h2(e11) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f1035,f6537]) ).
fof(f12906,plain,
( sQ176_spl
| ~ sQ85_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ37_spl
| ~ sQ463_spl
| e21 != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f8629,f12905]) ).
fof(f12907,plain,
( sQ176_spl
| ~ sQ85_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ37_spl
| ~ sQ463_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f12896,f12906]) ).
fof(f12908,plain,
( sQ176_spl
| ~ sQ85_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ37_spl
| ~ sQ463_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12907]) ).
fof(f12909,plain,
( sQ176_spl
| ~ sQ85_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ37_spl
| ~ sQ463_spl ),
inference(contradiction_clause,[status(thm)],[f12908]) ).
fof(f12928,plain,
( sQ345_spl
| ~ sQ46_spl
| op1(e12,e12) != e13 ),
inference(forward_demodulation,[status(thm)],[f1064,f2211]) ).
fof(f12930,plain,
( sQ178_spl
| ~ sQ85_spl
| ~ sQ167_spl
| ~ sQ170_spl
| ~ sQ12_spl
| ~ sQ46_spl
| h2(e12) != e21 ),
inference(forward_demodulation,[status(thm)],[f1064,f6855]) ).
fof(f12957,plain,
( ~ sQ193_spl
| ~ sQ12_spl
| h3(e10) = op2(h3(e10),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f954,f1614]) ).
fof(f12958,plain,
( ~ sQ193_spl
| ~ sQ12_spl
| e22 = op2(h3(e10),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f276,f12957]) ).
fof(f12959,plain,
( ~ sQ193_spl
| ~ sQ12_spl
| e22 = op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f276,f12958]) ).
fof(f12960,plain,
( ~ sQ274_spl
| sQ178_spl
| ~ sQ85_spl
| ~ sQ167_spl
| ~ sQ170_spl
| ~ sQ12_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1911,f12930]) ).
fof(f12961,plain,
( ~ sQ274_spl
| sQ178_spl
| ~ sQ85_spl
| ~ sQ167_spl
| ~ sQ170_spl
| ~ sQ12_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f12960]) ).
fof(f12969,plain,
( ~ sQ359_spl
| ~ sQ109_spl
| op2(e21,e21) = e21 ),
inference(forward_demodulation,[status(thm)],[f1301,f2271]) ).
fof(f12980,plain,
( ~ sQ238_spl
| ~ sQ59_spl
| op1(e13,e13) = e12 ),
inference(forward_demodulation,[status(thm)],[f1106,f1758]) ).
fof(f12981,plain,
( ~ sQ238_spl
| ~ sQ59_spl
| ~ sQ61_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f1113,f12980]) ).
fof(f12982,plain,
( ~ sQ238_spl
| ~ sQ59_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12981,f215]) ).
fof(f12983,plain,
( ~ sQ238_spl
| ~ sQ59_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f12982]) ).
fof(f12998,plain,
( sQ180_spl
| ~ sQ54_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ85_spl
| e21 != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f12896,f12672]) ).
fof(f12999,plain,
( sQ180_spl
| ~ sQ54_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f12896,f12998]) ).
fof(f13000,plain,
( sQ180_spl
| ~ sQ54_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ85_spl
| ~ sQ359_spl
| ~ sQ109_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f12969,f12999]) ).
fof(f13001,plain,
( sQ180_spl
| ~ sQ54_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ85_spl
| ~ sQ359_spl
| ~ sQ109_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13000]) ).
fof(f13002,plain,
( sQ180_spl
| ~ sQ54_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ85_spl
| ~ sQ359_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f13001]) ).
fof(f13052,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| e20 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f9223,f3975]) ).
fof(f13076,plain,
( ~ sQ191_spl
| ~ sQ99_spl
| ~ sQ190_spl
| ~ sQ282_spl
| h3(e13) = op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f9267,f4577]) ).
fof(f13080,plain,
( sQ100_spl
| ~ sQ393_spl
| op2(e21,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f2419,f1273]) ).
fof(f13081,plain,
( ~ sQ191_spl
| ~ sQ210_spl
| ~ sQ109_spl
| h3(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f1301,f11128]) ).
fof(f13082,plain,
( ~ sQ191_spl
| ~ sQ210_spl
| ~ sQ109_spl
| sQ287_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13081,f1967]) ).
fof(f13083,plain,
( ~ sQ191_spl
| ~ sQ210_spl
| ~ sQ109_spl
| sQ287_spl ),
inference(contradiction_clause,[status(thm)],[f13082]) ).
fof(f13096,plain,
( ~ sQ355_spl
| ~ sQ191_spl
| ~ sQ210_spl
| ~ sQ109_spl
| op2(e21,e22) = e23 ),
inference(backward_demodulation,[status(thm)],[f12390,f12544]) ).
fof(f13197,plain,
( ~ sQ391_spl
| ~ sQ102_spl
| ~ sQ393_spl
| op2(e21,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f2419,f12595]) ).
fof(f13205,plain,
( ~ sQ391_spl
| ~ sQ102_spl
| ~ sQ393_spl
| e22 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f13197,f180]) ).
fof(f13233,plain,
( sQ150_spl
| ~ sQ90_spl
| ~ sQ26_spl
| h1(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f999,f10241]) ).
fof(f13234,plain,
( sQ150_spl
| ~ sQ90_spl
| ~ sQ26_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3153,f13233]) ).
fof(f13235,plain,
( sQ150_spl
| ~ sQ90_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13234]) ).
fof(f13236,plain,
( sQ150_spl
| ~ sQ90_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f13235]) ).
fof(f13332,plain,
( sQ323_spl
| ~ sQ116_spl
| op2(e23,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f1324,f2118]) ).
fof(f13352,plain,
( ~ sQ439_spl
| ~ sQ26_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f12742,f1047,f998,f2613]) ).
fof(f13355,plain,
( sQ196_spl
| ~ sQ26_spl
| ~ sQ190_spl
| ~ sQ282_spl
| e20 != op2(h3(e11),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f9223,f12745]) ).
fof(f13359,plain,
( sQ437_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f12746,f998,f2605]) ).
fof(f13361,plain,
( sQ173_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ26_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f12748,f1910,f998,f1531,f2719,f1549]) ).
fof(f13392,plain,
( ~ sQ355_spl
| ~ sQ109_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f12845,f1241,f1300,f2252]) ).
fof(f13435,plain,
( ~ sQ346_spl
| ~ sQ46_spl
| op1(e12,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f1064,f2214]) ).
fof(f13436,plain,
( ~ sQ346_spl
| ~ sQ46_spl
| ~ sQ40_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1045,f13435]) ).
fof(f13437,plain,
( ~ sQ346_spl
| ~ sQ46_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13436,f214]) ).
fof(f13438,plain,
( ~ sQ346_spl
| ~ sQ46_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f13437]) ).
fof(f13450,plain,
( sQ554_spl
| ~ sQ190_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f3974,f1978,f1604,f3117]) ).
fof(f13462,plain,
( ~ sQ214_spl
| ~ sQ137_spl
| ~ sQ215_spl
| ~ sQ234_spl
| ~ sQ233_spl
| e23 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f12731,f12605]) ).
fof(f13472,plain,
( ~ sQ190_spl
| ~ sQ191_spl
| ~ sQ371_spl
| h3(e13) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f13477,f3975]) ).
fof(f13477,plain,
( ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| h3(e13) = h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3975,f8656]) ).
fof(f13489,plain,
( sQ434_spl
| ~ sQ94_spl
| op2(e22,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f1252,f2594]) ).
fof(f13506,plain,
( sQ451_spl
| ~ sQ91_spl
| op2(e21,e23) != e21 ),
inference(forward_demodulation,[status(thm)],[f1242,f2668]) ).
fof(f13582,plain,
( ~ sQ118_spl
| e22 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f1330,f209]) ).
fof(f13589,plain,
( sQ316_spl
| ~ sQ118_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f10592,f1300,f1329,f2087]) ).
fof(f13594,plain,
( ~ sQ323_spl
| ~ sQ118_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f11370,f1345,f1329,f2116]) ).
fof(f13610,plain,
( ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| e22 = h3(e12) ),
inference(backward_demodulation,[status(thm)],[f7530,f13477]) ).
fof(f13635,plain,
( ~ sQ31_spl
| e13 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f1015,f137]) ).
fof(f13648,plain,
( sQ428_spl
| ~ sQ319_spl
| ~ sQ118_spl
| op2(e21,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f1330,f4364]) ).
fof(f13649,plain,
( sQ428_spl
| ~ sQ319_spl
| ~ sQ118_spl
| ~ sQ91_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1242,f13648]) ).
fof(f13650,plain,
( sQ428_spl
| ~ sQ319_spl
| ~ sQ118_spl
| ~ sQ91_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13649]) ).
fof(f13651,plain,
( sQ428_spl
| ~ sQ319_spl
| ~ sQ118_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f13650]) ).
fof(f13655,plain,
( ~ sQ346_spl
| ~ sQ45_spl
| op1(e11,e12) = e13 ),
inference(backward_demodulation,[status(thm)],[f1061,f2214]) ).
fof(f13662,plain,
( ~ sQ346_spl
| ~ sQ45_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f12579,f1001,f1060,f2213]) ).
fof(f13728,plain,
( ~ sQ241_spl
| ~ sQ31_spl
| e13 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f1015,f4161]) ).
fof(f13729,plain,
( ~ sQ241_spl
| ~ sQ31_spl
| ~ sQ59_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f1106,f13728]) ).
fof(f13730,plain,
( ~ sQ241_spl
| ~ sQ31_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13729]) ).
fof(f13731,plain,
( ~ sQ241_spl
| ~ sQ31_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f13730]) ).
fof(f13807,plain,
( ~ sQ485_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3622,f3358]) ).
fof(f13808,plain,
( ~ sQ485_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f13807]) ).
fof(f13857,plain,
( ~ sQ520_spl
| ~ sQ91_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1242,f3915]) ).
fof(f13858,plain,
( ~ sQ520_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13857,f220]) ).
fof(f13859,plain,
( ~ sQ520_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f13858]) ).
fof(f13879,plain,
( sQ379_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f8066,f1034,f2359]) ).
fof(f13931,plain,
( ~ sQ249_spl
| ~ sQ247_spl
| ~ sQ122_spl
| op2(e22,e22) = e23 ),
inference(forward_demodulation,[status(thm)],[f12692,f1804]) ).
fof(f13932,plain,
( sQ450_spl
| ~ sQ91_spl
| op2(e20,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f1242,f2664]) ).
fof(f13933,plain,
( sQ450_spl
| ~ sQ91_spl
| ~ sQ76_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1194,f13932]) ).
fof(f13934,plain,
( sQ450_spl
| ~ sQ91_spl
| ~ sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13933]) ).
fof(f13935,plain,
( sQ450_spl
| ~ sQ91_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f13934]) ).
fof(f13962,plain,
( sQ356_spl
| ~ sQ109_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f10968,f1251,f1300,f2256]) ).
fof(f13988,plain,
( sQ138_spl
| ~ sQ214_spl
| ~ sQ233_spl
| ~ sQ234_spl
| op2(e23,e23) != e23 ),
inference(forward_demodulation,[status(thm)],[f12731,f12634]) ).
fof(f13989,plain,
( sQ138_spl
| ~ sQ214_spl
| ~ sQ233_spl
| ~ sQ234_spl
| ~ sQ137_spl
| ~ sQ215_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f13462,f13988]) ).
fof(f13990,plain,
( sQ138_spl
| ~ sQ214_spl
| ~ sQ233_spl
| ~ sQ234_spl
| ~ sQ137_spl
| ~ sQ215_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13989]) ).
fof(f13991,plain,
( sQ138_spl
| ~ sQ214_spl
| ~ sQ233_spl
| ~ sQ234_spl
| ~ sQ137_spl
| ~ sQ215_spl ),
inference(contradiction_clause,[status(thm)],[f13990]) ).
fof(f13994,plain,
( sQ464_spl
| ~ sQ167_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f6864,f1222,f1531,f2723]) ).
fof(f14021,plain,
( sQ323_spl
| ~ sQ116_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f13332,f1319,f1323,f2116]) ).
fof(f14032,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ249_spl
| ~ sQ247_spl
| ~ sQ122_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f13931,f13052]) ).
fof(f14033,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ249_spl
| ~ sQ247_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14032,f220]) ).
fof(f14034,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ249_spl
| ~ sQ247_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f14033]) ).
fof(f14041,plain,
( sQ196_spl
| ~ sQ26_spl
| ~ sQ190_spl
| ~ sQ282_spl
| e20 != op2(h3(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f9223,f13355]) ).
fof(f14082,plain,
( sQ481_spl
| ~ sQ80_spl
| op2(e21,e20) != e20 ),
inference(backward_demodulation,[status(thm)],[f1207,f2799]) ).
fof(f14129,plain,
( ~ sQ400_spl
| ~ sQ35_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f12252,f1096,f1027,f2447]) ).
fof(f14162,plain,
( sQ481_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f14082,f1206,f2797]) ).
fof(f14355,plain,
( ~ sQ428_spl
| ~ sQ319_spl
| ~ sQ116_spl
| op2(e21,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f1324,f7348]) ).
fof(f14356,plain,
( ~ sQ428_spl
| ~ sQ319_spl
| ~ sQ116_spl
| ~ sQ80_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1207,f14355]) ).
fof(f14357,plain,
( ~ sQ428_spl
| ~ sQ319_spl
| ~ sQ116_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14356,f220]) ).
fof(f14358,plain,
( ~ sQ428_spl
| ~ sQ319_spl
| ~ sQ116_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f14357]) ).
fof(f14361,plain,
( ~ sQ215_spl
| ~ sQ213_spl
| ~ sQ302_spl
| ~ sQ233_spl
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1739,f8799]) ).
fof(f14383,plain,
( ~ sQ309_spl
| ~ sQ54_spl
| op1(e11,e13) = e12 ),
inference(forward_demodulation,[status(thm)],[f1090,f2059]) ).
fof(f14520,plain,
( ~ sQ420_spl
| ~ sQ309_spl
| ~ sQ54_spl
| op1(e12,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f14383,f2532]) ).
fof(f14521,plain,
( ~ sQ420_spl
| ~ sQ309_spl
| ~ sQ54_spl
| ~ sQ399_spl
| ~ sQ33_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f8284,f14520]) ).
fof(f14522,plain,
( ~ sQ420_spl
| ~ sQ309_spl
| ~ sQ54_spl
| ~ sQ399_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14521,f214]) ).
fof(f14523,plain,
( ~ sQ420_spl
| ~ sQ309_spl
| ~ sQ54_spl
| ~ sQ399_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f14522]) ).
fof(f14524,plain,
( sQ455_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f8547,f982,f2683]) ).
fof(f14537,plain,
( sQ354_spl
| ~ sQ109_spl
| op2(e22,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f1301,f2250]) ).
fof(f14601,plain,
( sQ434_spl
| ~ sQ94_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f13489,f1290,f1251,f2592]) ).
fof(f14612,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 = h2(e12) ),
inference(backward_demodulation,[status(thm)],[f14620,f8622]) ).
fof(f14615,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f14620,f11706]) ).
fof(f14620,plain,
( ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 = h2(e13) ),
inference(forward_demodulation,[status(thm)],[f8622,f12889]) ).
fof(f14711,plain,
( ~ sQ190_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ290_spl
| e22 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f13610,f3975]) ).
fof(f14724,plain,
( ~ sQ371_spl
| ~ sQ290_spl
| ~ sQ191_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f7530,f1982,f1607,f1978,f2323]) ).
fof(f14818,plain,
( sQ397_spl
| ~ sQ100_spl
| op2(e23,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1272,f2436]) ).
fof(f14827,plain,
( ~ sQ26_spl
| ~ sQ511_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f3906,f999]) ).
fof(f14828,plain,
( ~ sQ26_spl
| ~ sQ511_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f14827,f213]) ).
fof(f14829,plain,
( ~ sQ26_spl
| ~ sQ511_spl ),
inference(contradiction_clause,[status(thm)],[f14828]) ).
fof(f14930,plain,
( ~ sQ191_spl
| ~ sQ99_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ109_spl
| h3(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f1301,f13076]) ).
fof(f14993,plain,
( sQ345_spl
| ~ sQ46_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f12928,f1053,f1063,f2209]) ).
fof(f15024,plain,
( ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ99_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ109_spl
| e22 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f14930,f12959]) ).
fof(f15032,plain,
( ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ99_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ109_spl
| ~ sQ393_spl
| e22 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2419,f15024]) ).
fof(f15067,plain,
( sQ354_spl
| ~ sQ109_spl
| ~ sQ393_spl
| op2(e21,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f2419,f14537]) ).
fof(f15213,plain,
( ~ sQ379_spl
| ~ sQ383_spl
| ~ sQ511_spl
| op1(e12,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f3906,f3751]) ).
fof(f15223,plain,
( ~ sQ383_spl
| ~ sQ511_spl
| e10 = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f3906,f2377]) ).
fof(f15239,plain,
( ~ sQ346_spl
| ~ sQ46_spl
| op1(e12,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f1064,f2214]) ).
fof(f15369,plain,
( ~ sQ191_spl
| ~ sQ99_spl
| ~ sQ190_spl
| ~ sQ282_spl
| h3(e13) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f9267,f4577]) ).
fof(f15386,plain,
( ~ sQ102_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f8878,f1303,f1277]) ).
fof(f15393,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ99_spl
| ~ sQ191_spl
| e23 != h3(e13) ),
inference(forward_demodulation,[status(thm)],[f15369,f10428]) ).
fof(f15398,plain,
( ~ sQ251_spl
| ~ sQ102_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f12619,f1342,f1277,f1812]) ).
fof(f15470,plain,
( ~ sQ369_spl
| ~ sQ42_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f9340,f1001,f1050,f2314]) ).
fof(f15496,plain,
( sQ315_spl
| ~ sQ319_spl
| ~ sQ93_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f8134,f1326,f1248,f2100,f2083]) ).
fof(f15525,plain,
( sQ238_spl
| ~ sQ59_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f8698,f1115,f1105,f1757]) ).
fof(f15548,plain,
( ~ sQ341_spl
| ~ sQ339_spl
| ~ sQ76_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f12699,f1248,f1193,f2184,f2192]) ).
fof(f15594,plain,
( ~ sQ346_spl
| ~ sQ45_spl
| ~ sQ511_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f3906,f13655]) ).
fof(f15595,plain,
( ~ sQ346_spl
| ~ sQ45_spl
| ~ sQ511_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f15594,f214]) ).
fof(f15596,plain,
( ~ sQ346_spl
| ~ sQ45_spl
| ~ sQ511_spl ),
inference(contradiction_clause,[status(thm)],[f15595]) ).
fof(f15702,plain,
( sQ442_spl
| ~ sQ511_spl
| op1(e11,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f3906,f2629]) ).
fof(f15703,plain,
( sQ442_spl
| ~ sQ511_spl
| ~ sQ473_spl
| ~ sQ496_spl
| ~ sQ12_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f6613,f15702]) ).
fof(f15704,plain,
( sQ442_spl
| ~ sQ511_spl
| ~ sQ473_spl
| ~ sQ496_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f15703]) ).
fof(f15705,plain,
( sQ442_spl
| ~ sQ511_spl
| ~ sQ473_spl
| ~ sQ496_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f15704]) ).
fof(f15787,plain,
( ~ sQ190_spl
| ~ sQ211_spl
| h3(e11) = op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f15794,f3163]) ).
fof(f15794,plain,
( ~ sQ190_spl
| ~ sQ211_spl
| e23 = h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3975,f8219]) ).
fof(f15942,plain,
( sQ385_spl
| ~ sQ36_spl
| op1(e11,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f1032,f2386]) ).
fof(f15943,plain,
( sQ385_spl
| ~ sQ36_spl
| ~ sQ473_spl
| ~ sQ496_spl
| ~ sQ12_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f6613,f15942]) ).
fof(f15944,plain,
( sQ385_spl
| ~ sQ36_spl
| ~ sQ473_spl
| ~ sQ496_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f15943]) ).
fof(f15945,plain,
( sQ385_spl
| ~ sQ36_spl
| ~ sQ473_spl
| ~ sQ496_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f15944]) ).
fof(f15959,plain,
( sQ319_spl
| ~ sQ118_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f6818,f1251,f1329,f2100]) ).
fof(f15995,plain,
( sQ354_spl
| ~ sQ109_spl
| ~ sQ393_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f15067,f1241,f2418,f1300,f2248]) ).
fof(f16013,plain,
( ~ sQ191_spl
| ~ sQ289_spl
| h3(e13) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1975,f4577]) ).
fof(f16020,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f13635,f1066,f1014]) ).
fof(f16050,plain,
( ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| e22 = h3(e12) ),
inference(backward_demodulation,[status(thm)],[f16055,f13477]) ).
fof(f16055,plain,
( ~ sQ190_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ290_spl
| e22 = h3(e13) ),
inference(forward_demodulation,[status(thm)],[f13472,f14711]) ).
fof(f16143,plain,
( ~ sQ27_spl
| ~ sQ511_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f3906,f1002]) ).
fof(f16144,plain,
( ~ sQ27_spl
| ~ sQ511_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16143,f214]) ).
fof(f16145,plain,
( ~ sQ27_spl
| ~ sQ511_spl ),
inference(contradiction_clause,[status(thm)],[f16144]) ).
fof(f16161,plain,
( ~ sQ356_spl
| ~ sQ109_spl
| op2(e21,e23) = e22 ),
inference(forward_demodulation,[status(thm)],[f1301,f2257]) ).
fof(f16182,plain,
( ~ sQ37_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f5687,f1047,f1034]) ).
fof(f16201,plain,
( ~ sQ130_spl
| ~ sQ61_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f5630,f1014,f1112,f1401]) ).
fof(f16235,plain,
( sQ399_spl
| ~ sQ32_spl
| op1(e12,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f1019,f2445]) ).
fof(f16261,plain,
( sQ395_spl
| ~ sQ393_spl
| op2(e21,op2(e21,e22)) != e21 ),
inference(backward_demodulation,[status(thm)],[f2419,f2428]) ).
fof(f16272,plain,
( ~ sQ130_spl
| ~ sQ61_spl
| op1(e11,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f1113,f1402]) ).
fof(f16273,plain,
( ~ sQ130_spl
| ~ sQ61_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16272,f7545]) ).
fof(f16274,plain,
( ~ sQ130_spl
| ~ sQ61_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f16273]) ).
fof(f16280,plain,
( sQ401_spl
| ~ sQ32_spl
| op1(e10,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f1019,f2453]) ).
fof(f16281,plain,
( sQ401_spl
| ~ sQ32_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f263,f16280]) ).
fof(f16282,plain,
( sQ401_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f16281]) ).
fof(f16283,plain,
( sQ401_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f16282]) ).
fof(f16307,plain,
( ~ sQ95_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f6970,f1742,f1254]) ).
fof(f16410,plain,
( ~ sQ29_spl
| ~ sQ309_spl
| op1(e13,e11) = e11 ),
inference(forward_demodulation,[status(thm)],[f2059,f1009]) ).
fof(f16417,plain,
( ~ sQ118_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f13582,f1342,f1329]) ).
fof(f16543,plain,
( ~ sQ100_spl
| ~ sQ393_spl
| op2(e21,e22) = e20 ),
inference(forward_demodulation,[status(thm)],[f2419,f1272]) ).
fof(f16745,plain,
( ~ sQ127_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f5359,f1319,f1358]) ).
fof(f16770,plain,
( sQ397_spl
| ~ sQ100_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f14818,f1319,f1271,f2434]) ).
fof(f16876,plain,
( sQ471_spl
| ~ sQ16_spl
| op1(e11,e10) != e10 ),
inference(forward_demodulation,[status(thm)],[f967,f2757]) ).
fof(f16877,plain,
( sQ471_spl
| ~ sQ16_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f967,f16876]) ).
fof(f16878,plain,
( sQ471_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f16877]) ).
fof(f16879,plain,
( sQ471_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f16878]) ).
fof(f16952,plain,
( ~ sQ190_spl
| ~ sQ191_spl
| ~ sQ289_spl
| h3(e12) = h3(e13) ),
inference(forward_demodulation,[status(thm)],[f16013,f3975]) ).
fof(f16990,plain,
( ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 = h3(e13) ),
inference(forward_demodulation,[status(thm)],[f16952,f16050]) ).
fof(f17059,plain,
( ~ sQ429_spl
| ~ sQ319_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f7347,f2091,f2100,f2570]) ).
fof(f17080,plain,
( ~ sQ429_spl
| ~ sQ94_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f6354,f1280,f1251,f2570]) ).
fof(f17178,plain,
( ~ sQ438_spl
| ~ sQ27_spl
| op1(e13,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f1002,f2610]) ).
fof(f17179,plain,
( ~ sQ438_spl
| ~ sQ27_spl
| ~ sQ29_spl
| ~ sQ309_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f16410,f17178]) ).
fof(f17180,plain,
( ~ sQ438_spl
| ~ sQ27_spl
| ~ sQ29_spl
| ~ sQ309_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17179,f215]) ).
fof(f17181,plain,
( ~ sQ438_spl
| ~ sQ27_spl
| ~ sQ29_spl
| ~ sQ309_spl ),
inference(contradiction_clause,[status(thm)],[f17180]) ).
fof(f17185,plain,
( ~ sQ215_spl
| ~ sQ233_spl
| e23 = op2(e23,h4(e12)) ),
inference(backward_demodulation,[status(thm)],[f1739,f5116]) ).
fof(f17324,plain,
( ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ99_spl
| ~ sQ191_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f15393,f1673,f1607,f1267,f1944,f1604]) ).
fof(f17414,plain,
( ~ sQ409_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ99_spl
| op2(e22,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f9267,f8855]) ).
fof(f17415,plain,
( ~ sQ409_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ99_spl
| ~ sQ191_spl
| h3(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f15369,f17414]) ).
fof(f17416,plain,
( ~ sQ409_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ99_spl
| ~ sQ191_spl
| ~ sQ109_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f14930,f17415]) ).
fof(f17417,plain,
( ~ sQ409_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ99_spl
| ~ sQ191_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f17416,f218]) ).
fof(f17418,plain,
( ~ sQ409_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ99_spl
| ~ sQ191_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f17417]) ).
fof(f17498,plain,
( ~ sQ356_spl
| ~ sQ109_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f16161,f1251,f1300,f2256]) ).
fof(f17580,plain,
( ~ sQ307_spl
| ~ sQ54_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f4182,f1040,f1089,f2049]) ).
fof(f17584,plain,
( ~ sQ420_spl
| ~ sQ309_spl
| ~ sQ54_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f14520,f1040,f1089,f2058,f2531]) ).
fof(f17597,plain,
( ~ sQ310_spl
| ~ sQ54_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f4183,f940,f1089,f2062]) ).
fof(f17680,plain,
( ~ sQ435_spl
| ~ sQ95_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f11042,f1358,f1254,f2596]) ).
fof(f17693,plain,
( sQ399_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f16235,f1018,f2443]) ).
fof(f17835,plain,
( ~ sQ385_spl
| ~ sQ37_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f5683,f982,f1034,f2384]) ).
fof(f17836,plain,
( ~ sQ381_spl
| ~ sQ37_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f5685,f985,f1034,f2367]) ).
fof(f17849,plain,
( ~ sQ384_spl
| ~ sQ37_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f5684,f927,f1034,f2380]) ).
fof(f17861,plain,
( ~ sQ322_spl
| ~ sQ538_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f4355,f1264,f3042,f2112]) ).
fof(f18034,plain,
( sQ181_spl
| ~ sQ56_spl
| h2(e10) != op2(h2(e13),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1097,f1575]) ).
fof(f18035,plain,
( sQ181_spl
| ~ sQ56_spl
| e21 != op2(h2(e13),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f272,f18034]) ).
fof(f18036,plain,
( sQ181_spl
| ~ sQ56_spl
| ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f14620,f18035]) ).
fof(f18037,plain,
( sQ181_spl
| ~ sQ56_spl
| ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f14612,f18036]) ).
fof(f18038,plain,
( sQ181_spl
| ~ sQ56_spl
| ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f14615,f18037]) ).
fof(f18039,plain,
( sQ181_spl
| ~ sQ56_spl
| ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f18038]) ).
fof(f18040,plain,
( sQ181_spl
| ~ sQ56_spl
| ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f18039]) ).
fof(f18234,plain,
( sQ175_spl
| ~ sQ32_spl
| h2(e10) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f1019,f3212]) ).
fof(f18235,plain,
( sQ175_spl
| ~ sQ32_spl
| e21 != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f272,f18234]) ).
fof(f18236,plain,
( sQ175_spl
| ~ sQ32_spl
| ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f14612,f18235]) ).
fof(f18237,plain,
( sQ175_spl
| ~ sQ32_spl
| ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f14615,f18236]) ).
fof(f18238,plain,
( sQ175_spl
| ~ sQ32_spl
| ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f18237]) ).
fof(f18239,plain,
( sQ175_spl
| ~ sQ32_spl
| ~ sQ168_spl
| ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f18238]) ).
fof(f18256,plain,
( ~ sQ312_spl
| ~ sQ54_spl
| op1(e12,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f1090,f2071]) ).
fof(f18257,plain,
( ~ sQ326_spl
| ~ sQ51_spl
| op1(e13,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f1080,f2130]) ).
fof(f18352,plain,
( ~ sQ248_spl
| ~ sQ555_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f4505,f1355,f3121,f1799]) ).
fof(f18760,plain,
( ~ sQ306_spl
| ~ sQ52_spl
| op1(e10,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f1084,f2046]) ).
fof(f18761,plain,
( ~ sQ306_spl
| ~ sQ52_spl
| ~ sQ12_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f954,f18760]) ).
fof(f18762,plain,
( ~ sQ306_spl
| ~ sQ52_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18761,f212]) ).
fof(f18763,plain,
( ~ sQ306_spl
| ~ sQ52_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f18762]) ).
fof(f18771,plain,
( ~ sQ215_spl
| ~ sQ233_spl
| ~ sQ298_spl
| e23 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2013,f17185]) ).
fof(f18804,plain,
( ~ sQ391_spl
| ~ sQ102_spl
| ~ sQ393_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f13205,f1342,f2418,f1277,f2409]) ).
fof(f18919,plain,
( ~ sQ323_spl
| ~ sQ215_spl
| ~ sQ233_spl
| ~ sQ298_spl
| op2(e23,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f18771,f2117]) ).
fof(f18920,plain,
( ~ sQ323_spl
| ~ sQ215_spl
| ~ sQ233_spl
| ~ sQ298_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f4891,f18919]) ).
fof(f18921,plain,
( ~ sQ323_spl
| ~ sQ215_spl
| ~ sQ233_spl
| ~ sQ298_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f18920,f222]) ).
fof(f18922,plain,
( ~ sQ323_spl
| ~ sQ215_spl
| ~ sQ233_spl
| ~ sQ298_spl ),
inference(contradiction_clause,[status(thm)],[f18921]) ).
fof(f19018,plain,
( ~ sQ437_spl
| ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(backward_demodulation,[status(thm)],[f999,f2606]) ).
fof(f19025,plain,
( ~ sQ326_spl
| ~ sQ51_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f18257,f1109,f1079,f2129]) ).
fof(f19049,plain,
( ~ sQ383_spl
| ~ sQ26_spl
| e12 = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f999,f2377]) ).
fof(f19051,plain,
( ~ sQ383_spl
| ~ sQ26_spl
| e12 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f999,f6379]) ).
fof(f19053,plain,
( ~ sQ383_spl
| ~ sQ26_spl
| e12 != op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f999,f6377]) ).
fof(f19122,plain,
( sQ363_spl
| ~ sQ43_spl
| op1(e12,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f1054,f2289]) ).
fof(f19124,plain,
( ~ sQ364_spl
| ~ sQ43_spl
| op1(e13,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f1054,f2292]) ).
fof(f19125,plain,
( ~ sQ364_spl
| ~ sQ43_spl
| ~ sQ56_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1097,f19124]) ).
fof(f19126,plain,
( ~ sQ364_spl
| ~ sQ43_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19125,f213]) ).
fof(f19127,plain,
( ~ sQ364_spl
| ~ sQ43_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f19126]) ).
fof(f19298,plain,
( ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 = op2(e22,h3(e11)) ),
inference(backward_demodulation,[status(thm)],[f16990,f4577]) ).
fof(f19299,plain,
( ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f16990,f12959]) ).
fof(f19320,plain,
( ~ sQ290_spl
| ~ sQ190_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ289_spl
| h3(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f16990,f9079]) ).
fof(f19395,plain,
( sQ346_spl
| ~ sQ46_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f9153,f1053,f1063,f2213]) ).
fof(f19496,plain,
( ~ sQ111_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3283,f1280,f1306]) ).
fof(f19513,plain,
( sQ439_spl
| ~ sQ24_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f9363,f943,f992,f2613]) ).
fof(f19540,plain,
( ~ sQ438_spl
| ~ sQ511_spl
| op1(e10,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f3906,f2610]) ).
fof(f19541,plain,
( ~ sQ438_spl
| ~ sQ511_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f3138,f19540]) ).
fof(f19542,plain,
( ~ sQ438_spl
| ~ sQ511_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f19541,f217]) ).
fof(f19543,plain,
( ~ sQ438_spl
| ~ sQ511_spl ),
inference(contradiction_clause,[status(thm)],[f19542]) ).
fof(f19565,plain,
( sQ505_spl
| ~ sQ76_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f5198,f1209,f1193,f2900]) ).
fof(f19581,plain,
( ~ sQ115_spl
| e23 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f1320,f206]) ).
fof(f19619,plain,
( ~ sQ167_spl
| ~ sQ278_spl
| h2(e11) = op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f19624,f3156]) ).
fof(f19620,plain,
( ~ sQ167_spl
| ~ sQ278_spl
| e22 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f19624,f3991]) ).
fof(f19624,plain,
( ~ sQ167_spl
| ~ sQ278_spl
| e22 = h2(e12) ),
inference(forward_demodulation,[status(thm)],[f3991,f8355]) ).
fof(f19626,plain,
( ~ sQ167_spl
| ~ sQ278_spl
| e21 != h2(e11) ),
inference(backward_demodulation,[status(thm)],[f8360,f4092]) ).
fof(f19763,plain,
( sQ100_spl
| ~ sQ393_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f13080,f1232,f2418,f1271]) ).
fof(f19767,plain,
( sQ400_spl
| ~ sQ35_spl
| op1(e13,e12) != e10 ),
inference(backward_demodulation,[status(thm)],[f1028,f2449]) ).
fof(f19832,plain,
( ~ sQ438_spl
| ~ sQ27_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f7453,f1089,f1001,f2609]) ).
fof(f20029,plain,
( ~ sQ138_spl
| op2(h4(e12),e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f282,f1434]) ).
fof(f20177,plain,
( ~ sQ447_spl
| ~ sQ355_spl
| ~ sQ191_spl
| ~ sQ210_spl
| ~ sQ109_spl
| op2(e23,e21) = e22 ),
inference(backward_demodulation,[status(thm)],[f13096,f2649]) ).
fof(f20406,plain,
( sQ473_spl
| ~ sQ19_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f7723,f1073,f975,f2763]) ).
fof(f20434,plain,
( ~ sQ383_spl
| ~ sQ511_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f15223,f1031,f2925,f2376]) ).
fof(f20435,plain,
( ~ sQ379_spl
| ~ sQ383_spl
| ~ sQ511_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f15213,f1021,f2925,f2376,f2359]) ).
fof(f20489,plain,
( ~ sQ379_spl
| ~ sQ383_spl
| ~ sQ24_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f9728,f1021,f992,f2376,f2359]) ).
fof(f20490,plain,
( ~ sQ383_spl
| ~ sQ24_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f9720,f1031,f992,f2376]) ).
fof(f20520,plain,
( sQ478_spl
| ~ sQ19_spl
| op1(e12,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f976,f2786]) ).
fof(f20633,plain,
( sQ319_spl
| ~ sQ93_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f9264,f1326,f1248,f2100]) ).
fof(f20712,plain,
( ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 = h3(e13) ),
inference(forward_demodulation,[status(thm)],[f4577,f19298]) ).
fof(f20719,plain,
( ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 = h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3975,f19299]) ).
fof(f20927,plain,
( sQ395_spl
| ~ sQ393_spl
| ~ sQ100_spl
| op2(e21,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f16543,f16261]) ).
fof(f20932,plain,
( ~ sQ420_spl
| ~ sQ347_spl
| ~ sQ45_spl
| op1(e12,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f5729,f2532]) ).
fof(f20933,plain,
( ~ sQ420_spl
| ~ sQ347_spl
| ~ sQ45_spl
| ~ sQ38_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1038,f20932]) ).
fof(f20934,plain,
( ~ sQ420_spl
| ~ sQ347_spl
| ~ sQ45_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20933,f217]) ).
fof(f20935,plain,
( ~ sQ420_spl
| ~ sQ347_spl
| ~ sQ45_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f20934]) ).
fof(f20945,plain,
( ~ sQ191_spl
| ~ sQ291_spl
| ~ sQ290_spl
| ~ sQ190_spl
| ~ sQ371_spl
| ~ sQ289_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f19320,f9280]) ).
fof(f20958,plain,
( sQ346_spl
| ~ sQ45_spl
| op1(e11,e12) != e13 ),
inference(forward_demodulation,[status(thm)],[f1061,f2215]) ).
fof(f20976,plain,
( ~ sQ167_spl
| ~ sQ278_spl
| e22 = h2(e12) ),
inference(forward_demodulation,[status(thm)],[f3991,f19620]) ).
fof(f21007,plain,
( ~ sQ409_spl
| ~ sQ97_spl
| op2(e22,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f1262,f2486]) ).
fof(f21036,plain,
( ~ sQ389_spl
| ~ sQ100_spl
| op2(e22,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f1272,f2402]) ).
fof(f21076,plain,
( ~ sQ215_spl
| ~ sQ213_spl
| ~ sQ302_spl
| ~ sQ233_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f14361,f1345,f1738,f2029,f1677,f1683]) ).
fof(f21205,plain,
( ~ sQ27_spl
| sQ346_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1002,f20958]) ).
fof(f21206,plain,
( ~ sQ27_spl
| sQ346_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f21205]) ).
fof(f21230,plain,
( ~ sQ419_spl
| ~ sQ309_spl
| ~ sQ54_spl
| op1(e11,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f1090,f7901]) ).
fof(f21268,plain,
( sQ438_spl
| ~ sQ419_spl
| ~ sQ309_spl
| ~ sQ54_spl
| op1(e13,e11) != e12 ),
inference(forward_demodulation,[status(thm)],[f21230,f2611]) ).
fof(f21269,plain,
( sQ438_spl
| ~ sQ419_spl
| ~ sQ309_spl
| ~ sQ54_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f1090,f21268]) ).
fof(f21270,plain,
( sQ438_spl
| ~ sQ419_spl
| ~ sQ309_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f21269]) ).
fof(f21271,plain,
( sQ438_spl
| ~ sQ419_spl
| ~ sQ309_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f21270]) ).
fof(f21369,plain,
( ~ sQ203_spl
| ~ sQ54_spl
| h3(e12) = op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1090,f1644]) ).
fof(f21397,plain,
( sQ327_spl
| ~ sQ49_spl
| op1(e11,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f1074,f2135]) ).
fof(f21429,plain,
( ~ sQ126_spl
| h4(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f4012,f282]) ).
fof(f21498,plain,
( ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8629,f19626]) ).
fof(f21499,plain,
( ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f21498]) ).
fof(f21543,plain,
( ~ sQ410_spl
| ~ sQ99_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f11083,f1336,f1267,f2489]) ).
fof(f21575,plain,
( ~ sQ383_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f6413,f1001,f2376]) ).
fof(f21576,plain,
( ~ sQ383_spl
| ~ sQ419_spl
| ~ sQ309_spl
| ~ sQ54_spl
| e13 = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f21230,f2377]) ).
fof(f21577,plain,
( ~ sQ383_spl
| ~ sQ419_spl
| ~ sQ309_spl
| ~ sQ54_spl
| ~ sQ36_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f1032,f21576]) ).
fof(f21578,plain,
( ~ sQ383_spl
| ~ sQ419_spl
| ~ sQ309_spl
| ~ sQ54_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21577,f214]) ).
fof(f21579,plain,
( ~ sQ383_spl
| ~ sQ419_spl
| ~ sQ309_spl
| ~ sQ54_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f21578]) ).
fof(f21598,plain,
( ~ sQ100_spl
| ~ sQ393_spl
| ~ sQ167_spl
| ~ sQ278_spl
| h2(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f19619,f16543]) ).
fof(f21599,plain,
( ~ sQ100_spl
| ~ sQ393_spl
| ~ sQ167_spl
| ~ sQ278_spl
| sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21598,f1891]) ).
fof(f21600,plain,
( ~ sQ100_spl
| ~ sQ393_spl
| ~ sQ167_spl
| ~ sQ278_spl
| sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f21599]) ).
fof(f21601,plain,
( sQ395_spl
| ~ sQ393_spl
| ~ sQ100_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f20927,f1209,f1271,f2418,f2426]) ).
fof(f21704,plain,
( sQ380_spl
| ~ sQ36_spl
| op1(e10,e12) != e11 ),
inference(forward_demodulation,[status(thm)],[f1032,f2365]) ).
fof(f21705,plain,
( sQ380_spl
| ~ sQ36_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f3126,f21704]) ).
fof(f21706,plain,
( sQ380_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f21705]) ).
fof(f21707,plain,
( sQ380_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f21706]) ).
fof(f21806,plain,
( sQ158_spl
| ~ sQ56_spl
| h1(e10) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1097,f3231]) ).
fof(f21807,plain,
( sQ158_spl
| ~ sQ56_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f268,f21806]) ).
fof(f21875,plain,
( sQ205_spl
| ~ sQ63_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f20712,f12310]) ).
fof(f21876,plain,
( sQ205_spl
| ~ sQ63_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f20712,f21875]) ).
fof(f21877,plain,
( sQ205_spl
| ~ sQ63_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f20712,f21876]) ).
fof(f21878,plain,
( sQ205_spl
| ~ sQ63_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ291_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f20945,f21877]) ).
fof(f21879,plain,
( sQ205_spl
| ~ sQ63_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ291_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f21878]) ).
fof(f21880,plain,
( sQ205_spl
| ~ sQ63_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ291_spl ),
inference(contradiction_clause,[status(thm)],[f21879]) ).
fof(f21907,plain,
( sQ204_spl
| ~ sQ56_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f20712,f4795]) ).
fof(f21908,plain,
( sQ204_spl
| ~ sQ56_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ193_spl
| ~ sQ12_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f20719,f21907]) ).
fof(f21909,plain,
( sQ204_spl
| ~ sQ56_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ291_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f20945,f21908]) ).
fof(f21910,plain,
( sQ204_spl
| ~ sQ56_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ291_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f21909]) ).
fof(f21911,plain,
( sQ204_spl
| ~ sQ56_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ291_spl ),
inference(contradiction_clause,[status(thm)],[f21910]) ).
fof(f21912,plain,
( sQ202_spl
| ~ sQ291_spl
| ~ sQ191_spl
| ~ sQ190_spl
| ~ sQ49_spl
| h3(e11) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f1074,f5213]) ).
fof(f21913,plain,
( sQ202_spl
| ~ sQ291_spl
| ~ sQ191_spl
| ~ sQ190_spl
| ~ sQ49_spl
| ~ sQ290_spl
| ~ sQ371_spl
| ~ sQ289_spl
| e22 != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f19320,f21912]) ).
fof(f21914,plain,
( sQ202_spl
| ~ sQ291_spl
| ~ sQ191_spl
| ~ sQ190_spl
| ~ sQ49_spl
| ~ sQ290_spl
| ~ sQ371_spl
| ~ sQ289_spl
| ~ sQ193_spl
| ~ sQ12_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f20719,f21913]) ).
fof(f21915,plain,
( sQ202_spl
| ~ sQ291_spl
| ~ sQ191_spl
| ~ sQ190_spl
| ~ sQ49_spl
| ~ sQ290_spl
| ~ sQ371_spl
| ~ sQ289_spl
| ~ sQ193_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f21914]) ).
fof(f21916,plain,
( sQ202_spl
| ~ sQ291_spl
| ~ sQ191_spl
| ~ sQ190_spl
| ~ sQ49_spl
| ~ sQ290_spl
| ~ sQ371_spl
| ~ sQ289_spl
| ~ sQ193_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f21915]) ).
fof(f21995,plain,
( sQ400_spl
| ~ sQ35_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f19767,f1096,f1027,f2447]) ).
fof(f22291,plain,
( sQ372_spl
| ~ sQ190_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ290_spl
| ~ sQ289_spl
| op2(e22,e22) != e22 ),
inference(forward_demodulation,[status(thm)],[f20719,f6093]) ).
fof(f22292,plain,
( sQ372_spl
| ~ sQ190_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ291_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f20945,f22291]) ).
fof(f22293,plain,
( sQ372_spl
| ~ sQ190_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ291_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f22292]) ).
fof(f22294,plain,
( sQ372_spl
| ~ sQ190_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ291_spl ),
inference(contradiction_clause,[status(thm)],[f22293]) ).
fof(f22295,plain,
( ~ sQ138_spl
| ~ sQ126_spl
| op2(e22,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f21429,f20029]) ).
fof(f22296,plain,
( ~ sQ138_spl
| ~ sQ126_spl
| ~ sQ109_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1301,f22295]) ).
fof(f22297,plain,
( ~ sQ138_spl
| ~ sQ126_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22296,f222]) ).
fof(f22298,plain,
( ~ sQ138_spl
| ~ sQ126_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f22297]) ).
fof(f22305,plain,
( ~ sQ401_spl
| ~ sQ35_spl
| op1(e13,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f1028,f2452]) ).
fof(f22306,plain,
( ~ sQ401_spl
| ~ sQ35_spl
| ~ sQ49_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f1074,f22305]) ).
fof(f22307,plain,
( ~ sQ401_spl
| ~ sQ35_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22306,f215]) ).
fof(f22308,plain,
( ~ sQ401_spl
| ~ sQ35_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f22307]) ).
fof(f22319,plain,
( ~ sQ345_spl
| ~ sQ45_spl
| op1(e12,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f1061,f2210]) ).
fof(f22320,plain,
( ~ sQ345_spl
| ~ sQ45_spl
| ~ sQ36_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1032,f22319]) ).
fof(f22321,plain,
( ~ sQ345_spl
| ~ sQ45_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22320,f214]) ).
fof(f22322,plain,
( ~ sQ345_spl
| ~ sQ45_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f22321]) ).
fof(f22336,plain,
( sQ322_spl
| ~ sQ117_spl
| op2(e22,e21) != e22 ),
inference(forward_demodulation,[status(thm)],[f1327,f2114]) ).
fof(f22455,plain,
( ~ sQ464_spl
| ~ sQ167_spl
| ~ sQ278_spl
| op2(e22,e21) = e21 ),
inference(forward_demodulation,[status(thm)],[f20976,f3986]) ).
fof(f22456,plain,
( ~ sQ464_spl
| ~ sQ167_spl
| ~ sQ278_spl
| ~ sQ100_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1272,f22455]) ).
fof(f22457,plain,
( ~ sQ464_spl
| ~ sQ167_spl
| ~ sQ278_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22456,f218]) ).
fof(f22458,plain,
( ~ sQ464_spl
| ~ sQ167_spl
| ~ sQ278_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f22457]) ).
fof(f22459,plain,
( ~ sQ376_spl
| ~ sQ190_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ290_spl
| ~ sQ289_spl
| op2(e21,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f20719,f8567]) ).
fof(f22460,plain,
( ~ sQ376_spl
| ~ sQ190_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ88_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1233,f22459]) ).
fof(f22461,plain,
( ~ sQ376_spl
| ~ sQ190_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f22460,f218]) ).
fof(f22462,plain,
( ~ sQ376_spl
| ~ sQ190_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ290_spl
| ~ sQ289_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f22461]) ).
fof(f22463,plain,
( ~ sQ389_spl
| ~ sQ100_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f21036,f1261,f1271,f2401]) ).
fof(f22505,plain,
( sQ451_spl
| ~ sQ520_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f4454,f1209,f2964,f2666]) ).
fof(f22511,plain,
( sQ425_spl
| ~ sQ347_spl
| ~ sQ45_spl
| op1(e12,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f5729,f2555]) ).
fof(f22512,plain,
( sQ425_spl
| ~ sQ347_spl
| ~ sQ45_spl
| ~ sQ312_spl
| ~ sQ54_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f18256,f22511]) ).
fof(f22513,plain,
( sQ425_spl
| ~ sQ347_spl
| ~ sQ45_spl
| ~ sQ312_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f22512]) ).
fof(f22514,plain,
( sQ425_spl
| ~ sQ347_spl
| ~ sQ45_spl
| ~ sQ312_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f22513]) ).
fof(f22546,plain,
( ~ sQ167_spl
| ~ sQ84_spl
| ~ sQ168_spl
| ~ sQ463_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f12082,f1897,f2719,f1534,f1219,f1531]) ).
fof(f22601,plain,
( ~ sQ282_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f4573,f1336,f1944]) ).
fof(f22693,plain,
( sQ196_spl
| ~ sQ26_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ99_spl
| e20 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f9267,f14041]) ).
fof(f22694,plain,
( sQ196_spl
| ~ sQ26_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ99_spl
| ~ sQ339_spl
| ~ sQ76_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5634,f22693]) ).
fof(f22695,plain,
( sQ196_spl
| ~ sQ26_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ99_spl
| ~ sQ339_spl
| ~ sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f22694]) ).
fof(f22696,plain,
( sQ196_spl
| ~ sQ26_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ99_spl
| ~ sQ339_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f22695]) ).
fof(f22747,plain,
( sQ488_spl
| ~ sQ376_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f9243,f1277,f1944,f1604,f2345,f2826]) ).
fof(f22796,plain,
( sQ322_spl
| ~ sQ117_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f22336,f1277,f1326,f2112]) ).
fof(f22822,plain,
( ~ sQ461_spl
| ~ sQ20_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f4235,f1079,f979,f2710]) ).
fof(f22868,plain,
( sQ478_spl
| ~ sQ19_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f20520,f1063,f975,f2784]) ).
fof(f22955,plain,
( sQ387_spl
| ~ sQ383_spl
| ~ sQ444_spl ),
inference(split_clause,[status(thm)],[f6410,f2635,f2376,f2392]) ).
fof(f22965,plain,
( ~ sQ383_spl
| ~ sQ26_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f19053,f1089,f998,f2376]) ).
fof(f22966,plain,
( ~ sQ383_spl
| ~ sQ26_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f19051,f1063,f998,f2376]) ).
fof(f22967,plain,
( ~ sQ383_spl
| ~ sQ26_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f19049,f1037,f998,f2376]) ).
fof(f23018,plain,
( sQ327_spl
| ~ sQ49_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f21397,f975,f1073,f2133]) ).
fof(f23084,plain,
( sQ451_spl
| ~ sQ91_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f13506,f1248,f1241,f2666]) ).
fof(f23087,plain,
( sQ158_spl
| ~ sQ56_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f21807,f1336,f1096,f1500]) ).
fof(f23111,plain,
( sQ363_spl
| ~ sQ43_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f19122,f1063,f1053,f2287]) ).
fof(f23127,plain,
( sQ367_spl
| ~ sQ346_spl
| ~ sQ46_spl
| op1(e10,e13) != e10 ),
inference(forward_demodulation,[status(thm)],[f15239,f2307]) ).
fof(f23128,plain,
( sQ367_spl
| ~ sQ346_spl
| ~ sQ46_spl
| ~ sQ12_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f954,f23127]) ).
fof(f23129,plain,
( sQ367_spl
| ~ sQ346_spl
| ~ sQ46_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f23128]) ).
fof(f23130,plain,
( sQ367_spl
| ~ sQ346_spl
| ~ sQ46_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f23129]) ).
fof(f23131,plain,
( sQ369_spl
| ~ sQ346_spl
| ~ sQ46_spl
| op1(e13,e13) != e13 ),
inference(forward_demodulation,[status(thm)],[f15239,f2316]) ).
fof(f23132,plain,
( sQ369_spl
| ~ sQ346_spl
| ~ sQ46_spl
| ~ sQ63_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f1119,f23131]) ).
fof(f23133,plain,
( sQ369_spl
| ~ sQ346_spl
| ~ sQ46_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f23132]) ).
fof(f23134,plain,
( sQ369_spl
| ~ sQ346_spl
| ~ sQ46_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f23133]) ).
fof(f23394,plain,
( ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ269_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1890,f8629]) ).
fof(f23395,plain,
( ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23394,f218]) ).
fof(f23396,plain,
( ~ sQ463_spl
| ~ sQ167_spl
| ~ sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f23395]) ).
fof(f23499,plain,
( ~ sQ447_spl
| ~ sQ355_spl
| ~ sQ191_spl
| ~ sQ210_spl
| ~ sQ109_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f20177,f1329,f1300,f1665,f1607,f2252,f2648]) ).
fof(f23761,plain,
( sQ446_spl
| ~ sQ91_spl
| op2(e21,e23) != e22 ),
inference(forward_demodulation,[status(thm)],[f1242,f2646]) ).
fof(f23762,plain,
( ~ sQ447_spl
| ~ sQ91_spl
| op2(e23,e21) = e22 ),
inference(forward_demodulation,[status(thm)],[f1242,f2649]) ).
fof(f23763,plain,
( ~ sQ447_spl
| ~ sQ91_spl
| ~ sQ116_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1324,f23762]) ).
fof(f23764,plain,
( ~ sQ447_spl
| ~ sQ91_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23763,f219]) ).
fof(f23765,plain,
( ~ sQ447_spl
| ~ sQ91_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f23764]) ).
fof(f23849,plain,
( sQ137_spl
| ~ sQ125_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f4936,f1332,f1352,f1429]) ).
fof(f23862,plain,
( ~ sQ115_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f19581,f1332,f1319]) ).
fof(f23920,plain,
( ~ sQ215_spl
| ~ sQ298_spl
| h4(e11) = op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f23923,f5116]) ).
fof(f23923,plain,
( ~ sQ298_spl
| e21 = h4(e12) ),
inference(forward_demodulation,[status(thm)],[f282,f4891]) ).
fof(f23947,plain,
( ~ sQ119_spl
| ~ sQ116_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1324,f1333]) ).
fof(f23948,plain,
( ~ sQ119_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f23947,f220]) ).
fof(f23949,plain,
( ~ sQ119_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f23948]) ).
fof(f23979,plain,
( sQ410_spl
| ~ sQ413_spl
| op2(e21,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f4703,f2491]) ).
fof(f23984,plain,
( sQ337_spl
| ~ sQ115_spl
| op2(e23,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1320,f2177]) ).
fof(f23985,plain,
( sQ337_spl
| ~ sQ115_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1320,f23984]) ).
fof(f23986,plain,
( sQ337_spl
| ~ sQ115_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f23985]) ).
fof(f23987,plain,
( sQ337_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f23986]) ).
fof(f24105,plain,
( ~ sQ190_spl
| ~ sQ211_spl
| ~ sQ109_spl
| h3(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f1301,f15787]) ).
fof(f24106,plain,
( ~ sQ190_spl
| ~ sQ211_spl
| ~ sQ109_spl
| sQ285_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24105,f1959]) ).
fof(f24107,plain,
( ~ sQ190_spl
| ~ sQ211_spl
| ~ sQ109_spl
| sQ285_spl ),
inference(contradiction_clause,[status(thm)],[f24106]) ).
fof(f24215,plain,
( ~ sQ148_spl
| ~ sQ19_spl
| h1(e13) = op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f976,f1471]) ).
fof(f24216,plain,
( ~ sQ148_spl
| ~ sQ19_spl
| e23 = op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3155,f24215]) ).
fof(f24217,plain,
( ~ sQ148_spl
| ~ sQ19_spl
| e23 = op2(e21,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3152,f24216]) ).
fof(f24218,plain,
( ~ sQ148_spl
| ~ sQ19_spl
| e23 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f268,f24217]) ).
fof(f24257,plain,
( ~ sQ410_spl
| ~ sQ96_spl
| op2(e20,e22) = e20 ),
inference(backward_demodulation,[status(thm)],[f1259,f2490]) ).
fof(f24258,plain,
( sQ409_spl
| ~ sQ96_spl
| op2(e22,e20) != e20 ),
inference(backward_demodulation,[status(thm)],[f1259,f2487]) ).
fof(f24262,plain,
( sQ411_spl
| ~ sQ96_spl
| op2(e20,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f1259,f2495]) ).
fof(f24297,plain,
( ~ sQ505_spl
| ~ sQ76_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f4322,f1209,f1193,f2900]) ).
fof(f24370,plain,
( ~ sQ410_spl
| ~ sQ96_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f24257,f1180,f1258,f2489]) ).
fof(f24371,plain,
( sQ409_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f24258,f1258,f2485]) ).
fof(f24372,plain,
( sQ411_spl
| ~ sQ96_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f266,f24262]) ).
fof(f24373,plain,
( sQ411_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f24372]) ).
fof(f24374,plain,
( sQ411_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f24373]) ).
fof(f24377,plain,
( ~ sQ447_spl
| ~ sQ520_spl
| op2(e20,e21) = e22 ),
inference(forward_demodulation,[status(thm)],[f3915,f2649]) ).
fof(f24378,plain,
( ~ sQ447_spl
| ~ sQ520_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f3151,f24377]) ).
fof(f24379,plain,
( ~ sQ447_spl
| ~ sQ520_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f24378,f223]) ).
fof(f24380,plain,
( ~ sQ447_spl
| ~ sQ520_spl ),
inference(contradiction_clause,[status(thm)],[f24379]) ).
fof(f24486,plain,
( sQ446_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ99_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ109_spl
| ~ sQ393_spl
| op2(e21,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f15032,f2646]) ).
fof(f25031,plain,
( ~ sQ150_spl
| ~ sQ437_spl
| ~ sQ26_spl
| h1(e12) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f19018,f7365]) ).
fof(f25032,plain,
( ~ sQ150_spl
| ~ sQ437_spl
| ~ sQ26_spl
| e22 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f3153,f25031]) ).
fof(f25097,plain,
( sQ446_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ99_spl
| ~ sQ190_spl
| ~ sQ282_spl
| ~ sQ109_spl
| ~ sQ393_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f24486,f1238,f2418,f1300,f1944,f1604,f1267,f1607,f953,f1613,f2644]) ).
fof(f25495,plain,
( ~ sQ215_spl
| ~ sQ298_spl
| ~ sQ118_spl
| h4(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f1330,f23920]) ).
fof(f25496,plain,
( ~ sQ215_spl
| ~ sQ298_spl
| ~ sQ118_spl
| sQ301_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25495,f2027]) ).
fof(f25497,plain,
( ~ sQ215_spl
| ~ sQ298_spl
| ~ sQ118_spl
| sQ301_spl ),
inference(contradiction_clause,[status(thm)],[f25496]) ).
fof(f25567,plain,
( ~ sQ203_spl
| ~ sQ54_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 = op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f20719,f21369]) ).
fof(f25568,plain,
( ~ sQ203_spl
| ~ sQ54_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 = op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f20712,f25567]) ).
fof(f25569,plain,
( ~ sQ203_spl
| ~ sQ54_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f19320,f25568]) ).
fof(f25593,plain,
( sQ410_spl
| ~ sQ413_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f23979,f1232,f2502,f2489]) ).
fof(f25648,plain,
( sQ389_spl
| ~ sQ409_spl
| ~ sQ97_spl
| op2(e22,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f21007,f2403]) ).
fof(f25649,plain,
( sQ389_spl
| ~ sQ409_spl
| ~ sQ97_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1262,f25648]) ).
fof(f25650,plain,
( sQ389_spl
| ~ sQ409_spl
| ~ sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f25649]) ).
fof(f25651,plain,
( sQ389_spl
| ~ sQ409_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f25650]) ).
fof(f25759,plain,
( sQ446_spl
| ~ sQ91_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f23761,f1251,f1241,f2644]) ).
fof(f25767,plain,
( ~ sQ120_spl
| ~ sQ214_spl
| ~ sQ301_spl
| h4(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f4823,f1337]) ).
fof(f25768,plain,
( ~ sQ120_spl
| ~ sQ214_spl
| ~ sQ301_spl
| sQ295_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25767,f2001]) ).
fof(f25769,plain,
( ~ sQ120_spl
| ~ sQ214_spl
| ~ sQ301_spl
| sQ295_spl ),
inference(contradiction_clause,[status(thm)],[f25768]) ).
fof(f25836,plain,
( ~ sQ447_spl
| ~ sQ91_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f23762,f1329,f1241,f2648]) ).
fof(f26417,plain,
( sQ468_spl
| ~ sQ167_spl
| op2(e22,h2(e12)) != e22 ),
inference(forward_demodulation,[status(thm)],[f3991,f2744]) ).
fof(f26418,plain,
( sQ468_spl
| ~ sQ167_spl
| ~ sQ278_spl
| op2(e22,e22) != e22 ),
inference(forward_demodulation,[status(thm)],[f20976,f26417]) ).
fof(f26419,plain,
( sQ468_spl
| ~ sQ167_spl
| ~ sQ278_spl
| ~ sQ203_spl
| ~ sQ54_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f25569,f26418]) ).
fof(f26420,plain,
( sQ468_spl
| ~ sQ167_spl
| ~ sQ278_spl
| ~ sQ203_spl
| ~ sQ54_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f26419]) ).
fof(f26421,plain,
( sQ468_spl
| ~ sQ167_spl
| ~ sQ278_spl
| ~ sQ203_spl
| ~ sQ54_spl
| ~ sQ193_spl
| ~ sQ12_spl
| ~ sQ191_spl
| ~ sQ371_spl
| ~ sQ190_spl
| ~ sQ290_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f26420]) ).
fof(f26784,plain,
( ~ sQ316_spl
| ~ sQ117_spl
| op2(e21,e23) = e21 ),
inference(forward_demodulation,[status(thm)],[f1327,f2088]) ).
fof(f27123,plain,
( sQ355_spl
| ~ sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f10589,f1293,f1303,f2252]) ).
fof(f27209,plain,
( sQ446_spl
| ~ sQ150_spl
| ~ sQ437_spl
| ~ sQ26_spl
| op2(e21,e22) != e22 ),
inference(forward_demodulation,[status(thm)],[f25032,f2646]) ).
fof(f27210,plain,
( sQ446_spl
| ~ sQ150_spl
| ~ sQ437_spl
| ~ sQ26_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f25032,f27209]) ).
fof(f27211,plain,
( sQ446_spl
| ~ sQ150_spl
| ~ sQ437_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f27210]) ).
fof(f27212,plain,
( sQ446_spl
| ~ sQ150_spl
| ~ sQ437_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f27211]) ).
fof(f27367,plain,
( sQ152_spl
| ~ sQ32_spl
| h1(e10) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1019,f3244]) ).
fof(f27368,plain,
( sQ152_spl
| ~ sQ32_spl
| e20 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f268,f27367]) ).
fof(f27369,plain,
( sQ152_spl
| ~ sQ32_spl
| ~ sQ96_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1259,f27368]) ).
fof(f27370,plain,
( sQ152_spl
| ~ sQ32_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f27369]) ).
fof(f27371,plain,
( sQ152_spl
| ~ sQ32_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f27370]) ).
fof(f27425,plain,
( ~ sQ488_spl
| ~ sQ148_spl
| ~ sQ19_spl
| op2(e22,e23) = e22 ),
inference(forward_demodulation,[status(thm)],[f24218,f2827]) ).
fof(f27459,plain,
( sQ155_spl
| ~ sQ46_spl
| h1(e12) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1064,f3237]) ).
fof(f27460,plain,
( sQ155_spl
| ~ sQ46_spl
| e22 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3153,f27459]) ).
fof(f27461,plain,
( sQ155_spl
| ~ sQ46_spl
| ~ sQ488_spl
| ~ sQ148_spl
| ~ sQ19_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f27425,f27460]) ).
fof(f27462,plain,
( sQ155_spl
| ~ sQ46_spl
| ~ sQ488_spl
| ~ sQ148_spl
| ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f27461]) ).
fof(f27463,plain,
( sQ155_spl
| ~ sQ46_spl
| ~ sQ488_spl
| ~ sQ148_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f27462]) ).
fof(f27474,plain,
( sQ153_spl
| ~ sQ37_spl
| h1(e11) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1035,f3242]) ).
fof(f27475,plain,
( sQ153_spl
| ~ sQ37_spl
| e21 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f3152,f27474]) ).
fof(f27476,plain,
( sQ153_spl
| ~ sQ37_spl
| ~ sQ101_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1275,f27475]) ).
fof(f27477,plain,
( sQ153_spl
| ~ sQ37_spl
| ~ sQ101_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f27476]) ).
fof(f27478,plain,
( sQ153_spl
| ~ sQ37_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f27477]) ).
fof(f27938,plain,
( ~ sQ316_spl
| ~ sQ117_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f26784,f1248,f1326,f2087]) ).
fof(f28329,plain,
( sQ138_spl
| ~ sQ213_spl
| ~ sQ302_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f8798,f1306,f2029,f1677,f1433]) ).
fof(f28489,plain,
( ~ sQ410_spl
| ~ sQ97_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f6801,f1232,f1261,f2489]) ).
fof(f28760,plain,
( sQ154_spl
| ~ sQ211_spl
| ~ sQ346_spl
| ~ sQ46_spl
| h1(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f15239,f8252]) ).
fof(f28761,plain,
( sQ154_spl
| ~ sQ211_spl
| ~ sQ346_spl
| ~ sQ46_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3155,f28760]) ).
fof(f28762,plain,
( sQ154_spl
| ~ sQ211_spl
| ~ sQ346_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f28761]) ).
fof(f28763,plain,
( sQ154_spl
| ~ sQ211_spl
| ~ sQ346_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f28762]) ).
fof(f29009,plain,
( sQ256_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f268,f1836]) ).
fof(f29010,plain,
( sQ256_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f29009]) ).
fof(f29011,plain,
sQ256_spl,
inference(contradiction_clause,[status(thm)],[f29010]) ).
fof(f29012,plain,
$false,
inference(sat_refutation,[status(thm)],[f939,f978,f991,f1004,f1017,f1030,f1043,f1056,f1069,f1082,f1095,f1108,f1121,f1122,f1123,f1124,f1125,f1126,f1129,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1138,f1139,f1142,f1143,f1144,f1145,f1146,f1148,f1149,f1150,f1151,f1152,f1153,f1179,f1218,f1231,f1244,f1257,f1270,f1296,f1309,f1322,f1335,f1348,f1362,f1363,f1365,f1366,f1369,f1370,f1371,f1372,f1373,f1374,f1375,f1376,f1378,f1379,f1380,f1381,f1382,f1383,f1384,f1385,f1386,f1388,f1389,f1390,f1391,f1392,f1393,f1400,f1404,f1405,f1412,f1416,f1420,f1424,f1425,f1432,f1436,f1437,f1448,f1457,f1530,f1756,f1760,f1765,f1773,f1789,f1790,f1798,f1802,f1807,f1815,f1819,f1832,f1837,f1858,f1879,f1892,f1896,f1900,f1905,f1930,f1935,f1947,f1960,f1968,f1969,f1973,f2002,f2015,f2028,f2032,f2044,f2048,f2052,f2053,f2061,f2073,f2078,f2086,f2090,f2095,f2103,f2115,f2120,f2128,f2132,f2137,f2145,f2153,f2162,f2170,f2174,f2178,f2179,f2187,f2195,f2204,f2212,f2216,f2220,f2221,f2226,f2230,f2243,f2251,f2255,f2259,f2260,f2265,f2269,f2277,f2282,f2290,f2294,f2295,f2296,f2304,f2308,f2312,f2313,f2317,f2318,f2326,f2330,f2331,f2332,f2344,f2348,f2349,f2353,f2354,f2362,f2366,f2371,f2379,f2387,f2396,f2404,f2412,f2413,f2414,f2421,f2429,f2438,f2446,f2450,f2455,f2463,f2467,f2471,f2475,f2479,f2480,f2488,f2492,f2497,f2505,f2517,f2522,f2530,f2534,f2539,f2544,f2548,f2552,f2556,f2560,f2561,f2569,f2573,f2578,f2583,f2595,f2600,f2601,f2608,f2612,f2617,f2618,f2622,f2630,f2639,f2647,f2651,f2655,f2656,f2661,f2669,f2677,f2678,f2686,f2690,f2691,f2692,f2705,f2709,f2713,f2714,f2722,f2726,f2727,f2728,f2736,f2740,f2741,f2745,f2749,f2750,f2758,f2762,f2766,f2767,f2775,f2779,f2792,f2800,f2804,f2808,f2809,f2817,f2821,f2834,f2846,f2851,f2856,f2864,f2873,f2874,f2885,f2890,f2895,f2903,f2912,f2913,f2924,f2929,f2934,f2942,f2951,f2952,f2963,f2968,f2973,f2981,f2990,f3002,f3006,f3007,f3008,f3012,f3016,f3029,f3041,f3045,f3046,f3047,f3051,f3055,f3068,f3077,f3078,f3092,f3096,f3097,f3105,f3106,f3120,f3124,f3125,f3188,f3194,f3204,f3210,f3220,f3226,f3264,f3271,f3307,f3310,f3313,f3319,f3322,f3328,f3337,f3343,f3346,f3368,f3371,f3377,f3392,f3395,f3413,f3416,f3419,f3422,f3425,f3428,f3431,f3434,f3437,f3481,f3484,f3487,f3493,f3496,f3511,f3517,f3520,f3533,f3536,f3548,f3557,f3560,f3573,f3579,f3582,f3585,f3588,f3591,f3594,f3597,f3600,f3605,f3643,f3650,f3662,f3686,f3702,f3705,f3708,f3718,f3728,f3731,f3734,f3744,f3754,f3769,f3787,f3793,f3796,f3831,f3837,f3840,f3843,f3846,f3853,f3859,f3862,f3865,f3872,f3875,f3878,f3881,f3884,f3887,f3890,f3893,f3896,f3899,f3902,f3905,f3928,f3939,f3982,f4004,f4038,f4060,f4086,f4097,f4106,f4139,f4141,f4175,f4194,f4211,f4259,f4268,f4272,f4283,f4287,f4298,f4311,f4333,f4338,f4358,f4371,f4374,f4387,f4408,f4418,f4424,f4428,f4446,f4456,f4457,f4458,f4473,f4494,f4525,f4530,f4534,f4555,f4568,f4571,f4594,f4600,f4604,f4607,f4610,f4620,f4632,f4675,f4686,f4688,f4689,f4700,f4701,f4705,f4724,f4725,f4741,f4758,f4767,f4772,f4781,f4785,f4790,f4793,f4810,f4818,f4842,f4844,f4845,f4852,f4856,f4872,f4903,f4908,f4921,f4931,f4934,f4947,f4952,f4961,f4965,f4976,f4989,f4990,f5024,f5033,f5035,f5037,f5052,f5056,f5057,f5058,f5060,f5064,f5067,f5070,f5087,f5091,f5092,f5097,f5099,f5100,f5103,f5111,f5140,f5141,f5142,f5165,f5166,f5167,f5169,f5171,f5174,f5175,f5209,f5226,f5268,f5270,f5274,f5278,f5294,f5295,f5327,f5329,f5330,f5335,f5345,f5346,f5374,f5386,f5388,f5395,f5421,f5422,f5424,f5425,f5428,f5429,f5434,f5452,f5458,f5489,f5503,f5506,f5511,f5515,f5517,f5527,f5530,f5532,f5558,f5573,f5574,f5575,f5576,f5585,f5601,f5619,f5636,f5640,f5660,f5662,f5663,f5666,f5672,f5675,f5679,f5680,f5693,f5698,f5699,f5701,f5704,f5706,f5711,f5720,f5758,f5767,f5775,f5782,f5783,f5805,f5815,f5820,f5834,f5848,f5857,f5860,f5865,f5882,f5883,f5911,f5913,f5930,f5934,f5935,f5940,f5956,f5960,f6010,f6016,f6017,f6019,f6020,f6045,f6085,f6091,f6096,f6097,f6100,f6124,f6128,f6130,f6131,f6132,f6160,f6176,f6178,f6179,f6180,f6194,f6195,f6197,f6235,f6242,f6246,f6295,f6296,f6298,f6301,f6319,f6322,f6331,f6334,f6350,f6362,f6366,f6368,f6369,f6374,f6375,f6380,f6426,f6436,f6437,f6438,f6453,f6492,f6544,f6560,f6571,f6577,f6594,f6595,f6606,f6608,f6609,f6621,f6624,f6631,f6636,f6640,f6641,f6645,f6652,f6655,f6657,f6663,f6675,f6681,f6747,f6766,f6803,f6804,f6811,f6814,f6854,f6860,f6882,f6941,f6951,f6958,f6972,f6982,f7061,f7082,f7086,f7088,f7105,f7172,f7187,f7201,f7205,f7209,f7220,f7224,f7228,f7234,f7238,f7239,f7264,f7278,f7279,f7283,f7291,f7292,f7297,f7303,f7305,f7313,f7333,f7334,f7351,f7352,f7358,f7418,f7432,f7436,f7522,f7539,f7567,f7575,f7577,f7580,f7594,f7595,f7596,f7597,f7649,f7770,f7804,f7819,f7832,f7862,f7866,f7873,f7877,f7883,f7895,f7925,f7927,f7933,f7937,f7942,f8048,f8052,f8084,f8089,f8092,f8093,f8108,f8118,f8140,f8165,f8167,f8168,f8169,f8187,f8191,f8194,f8196,f8208,f8228,f8243,f8244,f8246,f8272,f8348,f8350,f8378,f8411,f8423,f8434,f8449,f8462,f8476,f8480,f8525,f8526,f8535,f8555,f8573,f8579,f8638,f8648,f8672,f8687,f8694,f8723,f8745,f8783,f8824,f8846,f8866,f8867,f8882,f8907,f8912,f8945,f8946,f8972,f8991,f8994,f9017,f9024,f9110,f9112,f9114,f9140,f9141,f9157,f9160,f9173,f9174,f9205,f9236,f9269,f9311,f9737,f9738,f9791,f9843,f9935,f9949,f10190,f10198,f10215,f10216,f10220,f10273,f10280,f10353,f10362,f10390,f10471,f10507,f10556,f10576,f10596,f10606,f10658,f10665,f10713,f10714,f10715,f10724,f10762,f10827,f10828,f10835,f10843,f10888,f10894,f10922,f10926,f10944,f10966,f11021,f11026,f11031,f11035,f11039,f11041,f11043,f11047,f11167,f11186,f11239,f11243,f11278,f11310,f11360,f11405,f11525,f11614,f11685,f11691,f11700,f11795,f11834,f12025,f12027,f12088,f12165,f12209,f12255,f12388,f12405,f12407,f12410,f12416,f12586,f12594,f12612,f12658,f12823,f12874,f12877,f12909,f12961,f12983,f13002,f13083,f13236,f13352,f13359,f13361,f13392,f13438,f13450,f13589,f13594,f13651,f13662,f13731,f13808,f13859,f13879,f13935,f13962,f13991,f13994,f14021,f14034,f14129,f14162,f14358,f14523,f14524,f14601,f14724,f14829,f14993,f15386,f15398,f15470,f15496,f15525,f15548,f15596,f15705,f15945,f15959,f15995,f16020,f16145,f16182,f16201,f16274,f16283,f16307,f16417,f16745,f16770,f16879,f17059,f17080,f17181,f17324,f17418,f17498,f17580,f17584,f17597,f17680,f17693,f17835,f17836,f17849,f17861,f18040,f18239,f18352,f18763,f18804,f18922,f19025,f19127,f19395,f19496,f19513,f19543,f19565,f19763,f19832,f20406,f20434,f20435,f20489,f20490,f20633,f20935,f21076,f21206,f21271,f21499,f21543,f21575,f21579,f21600,f21601,f21707,f21880,f21911,f21916,f21995,f22294,f22298,f22308,f22322,f22458,f22462,f22463,f22505,f22514,f22546,f22601,f22696,f22747,f22796,f22822,f22868,f22955,f22965,f22966,f22967,f23018,f23084,f23087,f23111,f23130,f23134,f23396,f23499,f23765,f23849,f23862,f23949,f23987,f24107,f24297,f24370,f24371,f24374,f24380,f25097,f25497,f25593,f25651,f25759,f25769,f25836,f26421,f27123,f27212,f27371,f27463,f27478,f27938,f28329,f28489,f28763,f29011]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG104+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n003.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Mon Sep 21 12:57:46 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.60 % Drodi V4.1.1
% 74.31/10.14 % Refutation found
% 74.31/10.14 % SZS status Theorem for theBenchmark: Theorem is valid
% 74.31/10.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.82/10.23 % Elapsed time: 9.649135 seconds
% 3.82/10.23 % CPU time: 75.239547 seconds
% 3.82/10.23 % Total memory used: 349.704 MB
% 3.82/10.23 % Net memory used: 344.632 MB
%------------------------------------------------------------------------------