%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG122+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 : n018.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 11:48:18 AM UTC 2026
% Result : Theorem 11.13s 1.87s
% Output : CNFRefutation 11.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 373
% Syntax : Number of formulae : 2907 ( 220 unt; 356 def)
% Number of atoms : 11506 (5497 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 15391 (6792 ~;5967 |;2248 &)
% ( 384 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 358 ( 356 usr; 357 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,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) )
& ( op1(op1(e13,e13),e13) = op1(e13,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e10,e13),e10) = op1(e10,e13) )
& ( op1(op1(e13,e12),e13) = op1(e13,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e10,e12),e10) = op1(e10,e12) )
& ( op1(op1(e13,e11),e13) = op1(e13,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e10,e11),e10) = op1(e10,e11) )
& ( op1(op1(e13,e10),e13) = op1(e13,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e10,e10),e10) = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) )
& ( op2(op2(e23,e23),e23) = op2(e23,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e20,e23),e20) = op2(e20,e23) )
& ( op2(op2(e23,e22),e23) = op2(e23,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e20,e22),e20) = op2(e20,e22) )
& ( op2(op2(e23,e21),e23) = op2(e23,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e20,e21),e20) = op2(e20,e21) )
& ( op2(op2(e23,e20),e23) = op2(e23,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e20,e20),e20) = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e12 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(e13,op1(e13,op1(e13,e13))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e22 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(e23,op2(e23,op2(e23,e23))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(e20,op2(e20,op2(e20,e20)))
& h1(e13) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(e21,op2(e21,op2(e21,e21)))
& h2(e13) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(e22,op2(e22,op2(e22,e22)))
& h3(e13) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(e23,op2(e23,op2(e23,e23)))
& h4(e13) = 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(f20,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
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(f22,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = 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(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(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(f41,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
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(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(f51,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
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(f55,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
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(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(f61,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
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(f68,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
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(f70,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f71,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = 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(f77,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = 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(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(f86,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
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(f89,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f90,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = 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(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(f99,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = 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(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(f109,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
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(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(f121,plain,
op1(e12,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(f129,plain,
op1(e10,e12) != op1(e12,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(f133,plain,
op1(e12,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(f141,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f143,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != 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(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(f161,plain,
op1(e13,e11) != op1(e13,e12),
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(f172,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f174,plain,
op2(e21,e21) != op2(e23,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(f179,plain,
op2(e21,e22) != op2(e22,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(f184,plain,
op2(e20,e23) != op2(e23,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(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f189,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f191,plain,
op2(e20,e21) != op2(e20,e22),
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(f197,plain,
op2(e21,e21) != op2(e21,e22),
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(f209,plain,
op2(e23,e21) != op2(e23,e22),
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(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,plain,
( ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| sP0_prd )
& ( op1(op1(e13,e13),e13) = op1(e13,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e10,e13),e10) = op1(e10,e13) )
& ( op1(op1(e13,e12),e13) = op1(e13,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e10,e12),e10) = op1(e10,e12) )
& ( op1(op1(e13,e11),e13) = op1(e13,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e10,e11),e10) = op1(e10,e11) )
& ( op1(op1(e13,e10),e13) = op1(e13,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e10,e10),e10) = op1(e10,e10) ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f242,plain,
( op1(op1(e13,e10),e13) = op1(e13,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e10,e10),e10) = op1(e10,e10) ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
( op1(op1(e13,e11),e13) = op1(e13,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e10,e11),e10) = op1(e10,e11) ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f244,plain,
( op1(op1(e13,e12),e13) = op1(e13,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e10,e12),e10) = op1(e10,e12) ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f245,plain,
( op1(op1(e13,e13),e13) = op1(e13,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e10,e13),e10) = op1(e10,e13) ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f246,plain,
( op1(e13,e13) = e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f252,definition,
( sP1_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f253,plain,
( ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| sP1_prd )
& ( op2(op2(e23,e23),e23) = op2(e23,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e20,e23),e20) = op2(e20,e23) )
& ( op2(op2(e23,e22),e23) = op2(e23,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e20,e22),e20) = op2(e20,e22) )
& ( op2(op2(e23,e21),e23) = op2(e23,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e20,e21),e20) = op2(e20,e21) )
& ( op2(op2(e23,e20),e23) = op2(e23,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e20,e20),e20) = op2(e20,e20) ) ),
inference(formula_renaming,[status(thm)],[f11,f252]) ).
fof(f254,plain,
( op2(op2(e23,e20),e23) = op2(e23,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e20,e20),e20) = op2(e20,e20) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f255,plain,
( op2(op2(e23,e21),e23) = op2(e23,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e20,e21),e20) = op2(e20,e21) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f256,plain,
( op2(op2(e23,e22),e23) = op2(e23,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e20,e22),e20) = op2(e20,e22) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f257,plain,
( op2(op2(e23,e23),e23) = op2(e23,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e20,e23),e20) = op2(e20,e23) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f258,plain,
( op2(e23,e23) = e23
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f264,plain,
e10 = op1(e13,op1(e13,op1(e13,e13))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f265,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f266,plain,
e12 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f267,plain,
e20 = op2(e23,op2(e23,op2(e23,e23))),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f268,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f269,plain,
e22 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f270,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f271,plain,
h1(e10) = op2(e20,op2(e20,op2(e20,e20))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f272,plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f273,plain,
h1(e12) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f274,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f275,plain,
h2(e10) = op2(e21,op2(e21,op2(e21,e21))),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f276,plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f277,plain,
h2(e12) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f278,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f279,plain,
h3(e10) = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f280,plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f281,plain,
h3(e12) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f282,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f283,plain,
h4(e10) = op2(e23,op2(e23,op2(e23,e23))),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f284,plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f285,plain,
h4(e12) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f286,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(f287,definition,
( sP2_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f288,definition,
( sP3_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f289,definition,
( sP4_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f290,definition,
( sP5_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f291,definition,
( sP6_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f292,definition,
( sP7_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f293,definition,
( sP8_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f294,definition,
( sP9_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f295,definition,
( sP10_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f296,definition,
( sP11_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f297,definition,
( sP12_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f298,definition,
( sP13_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f299,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP13_prd
| sP12_prd
| sP11_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 )
| sP10_prd
| sP9_prd
| sP8_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 )
| sP7_prd
| sP6_prd
| sP5_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 )
| sP4_prd
| sP3_prd
| sP2_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)],[f286,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287]) ).
fof(f315,plain,
( h4(e13) != e23
| sP13_prd
| sP12_prd
| sP11_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)) ),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f316,definition,
( sP14_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f317,plain,
( sP0_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f316]) ).
fof(f318,plain,
( ( ( ( op1(e12,e13) = e13
| op1(e12,e12) = e12
| op1(e12,e11) = e11
| op1(e12,e10) = e10
| op1(e13,e13) = e12
| op1(e13,e12) != e13 )
& ~ sP14_prd )
| sP0_prd )
& ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| sP14_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f317]) ).
fof(f319,plain,
( op1(e13,e12) = e13
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f327,definition,
( sP15_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f328,plain,
( sP1_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f252,f327]) ).
fof(f329,plain,
( ( ( ( op2(e22,e23) = e23
| op2(e22,e22) = e22
| op2(e22,e21) = e21
| op2(e22,e20) = e20
| op2(e23,e23) = e22
| op2(e23,e22) != e23 )
& ~ sP15_prd )
| sP1_prd )
& ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| sP15_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f328]) ).
fof(f330,plain,
( op2(e23,e22) = e23
| sP15_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f338,plain,
( ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20
| sP2_prd )
& ( ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f287]) ).
fof(f340,plain,
( h1(e11) != e20
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f341,plain,
( h1(e12) != e20
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f344,plain,
( ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21
| sP3_prd )
& ( ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f288]) ).
fof(f346,plain,
( h1(e11) != e21
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f347,plain,
( h1(e12) != e21
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f349,plain,
( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f350,plain,
( ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP4_prd )
& ( ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f289]) ).
fof(f352,plain,
( h1(e11) != e22
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f353,plain,
( h1(e12) != e22
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f355,plain,
( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f356,plain,
( ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP5_prd )
& ( ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f290]) ).
fof(f358,plain,
( h2(e11) != e20
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f359,plain,
( h2(e12) != e20
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f361,plain,
( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f362,plain,
( ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP6_prd )
& ( ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f291]) ).
fof(f366,plain,
( h2(e13) != e21
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f368,plain,
( ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP7_prd )
& ( ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f369,plain,
( h2(e10) != e22
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f373,plain,
( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f374,plain,
( ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP8_prd )
& ( ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f377,plain,
( h3(e12) != e20
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f379,plain,
( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f380,plain,
( ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP9_prd )
& ( ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f294]) ).
fof(f382,plain,
( h3(e11) != e21
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f385,plain,
( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f386,plain,
( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP10_prd )
& ( ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f390,plain,
( h3(e13) != e22
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f392,plain,
( ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP11_prd )
& ( ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f393,plain,
( h4(e10) != e20
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f398,plain,
( ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP12_prd )
& ( ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f297]) ).
fof(f400,plain,
( h4(e11) != e21
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f404,plain,
( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP13_prd )
& ( ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f298]) ).
fof(f407,plain,
( h4(e12) != e22
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f410,definition,
( sP16_prd
<=> ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f411,plain,
( sP14_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f316,f410]) ).
fof(f412,plain,
( ( ( ( op1(e11,e13) = e13
| op1(e11,e12) = e12
| op1(e11,e11) = e11
| op1(e11,e10) = e10
| op1(e13,e13) = e11
| op1(e13,e11) != e13 )
& ~ sP16_prd )
| sP14_prd )
& ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f411]) ).
fof(f413,plain,
( op1(e13,e11) = e13
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f421,definition,
( sP17_prd
<=> ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f422,plain,
( sP15_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f327,f421]) ).
fof(f423,plain,
( ( ( ( op2(e21,e23) = e23
| op2(e21,e22) = e22
| op2(e21,e21) = e21
| op2(e21,e20) = e20
| op2(e23,e23) = e21
| op2(e23,e21) != e23 )
& ~ sP17_prd )
| sP15_prd )
& ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f422]) ).
fof(f424,plain,
( op2(e23,e21) = e23
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f423]) ).
fof(f432,definition,
( sP18_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f433,plain,
( sP16_prd
<=> ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f410,f432]) ).
fof(f434,plain,
( ( ( ( op1(e10,e13) = e13
| op1(e10,e12) = e12
| op1(e10,e11) = e11
| op1(e10,e10) = e10
| op1(e13,e13) = e10
| op1(e13,e10) != e13 )
& ~ sP18_prd )
| sP16_prd )
& ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| sP18_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f433]) ).
fof(f436,plain,
( op1(e13,e13) != e10
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f437,plain,
( op1(e10,e10) != e10
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f438,plain,
( op1(e10,e11) != e11
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f439,plain,
( op1(e10,e12) != e12
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f440,plain,
( op1(e10,e13) != e13
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f443,definition,
( sP19_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f444,plain,
( sP17_prd
<=> ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f421,f443]) ).
fof(f445,plain,
( ( ( ( op2(e20,e23) = e23
| op2(e20,e22) = e22
| op2(e20,e21) = e21
| op2(e20,e20) = e20
| op2(e23,e23) = e20
| op2(e23,e20) != e23 )
& ~ sP19_prd )
| sP17_prd )
& ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| sP19_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f444]) ).
fof(f448,plain,
( op2(e20,e20) != e20
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f449,plain,
( op2(e20,e21) != e21
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f450,plain,
( op2(e20,e22) != e22
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f451,plain,
( op2(e20,e23) != e23
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f454,definition,
( sP20_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f455,plain,
( sP18_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f432,f454]) ).
fof(f456,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e13,e12) = e12
| op1(e13,e11) = e11
| op1(e13,e10) = e10
| op1(e12,e12) = e13
| op1(e12,e13) != e12 )
& ~ sP20_prd )
| sP18_prd )
& ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| sP20_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f455]) ).
fof(f457,plain,
( op1(e12,e13) = e12
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f458,plain,
( op1(e12,e12) != e13
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f463,plain,
( ~ sP20_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f465,definition,
( sP21_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f466,plain,
( sP19_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f443,f465]) ).
fof(f467,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| op2(e23,e20) = e20
| op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ~ sP21_prd )
| sP19_prd )
& ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| sP21_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f466]) ).
fof(f468,plain,
( op2(e22,e23) = e22
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f469,plain,
( op2(e22,e22) != e23
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f474,plain,
( ~ sP21_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f476,definition,
( sP22_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f477,plain,
( sP20_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f454,f476]) ).
fof(f478,plain,
( ( ( ( op1(e12,e13) = e13
| op1(e12,e12) = e12
| op1(e12,e11) = e11
| op1(e12,e10) = e10
| op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ~ sP22_prd )
| sP20_prd )
& ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP22_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f477]) ).
fof(f479,plain,
( op1(e12,e12) = e12
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f480,plain,
( op1(e12,e12) != e12
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f482,plain,
( op1(e12,e11) != e11
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f484,plain,
( op1(e12,e13) != e13
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f485,plain,
( ~ sP22_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f487,definition,
( sP23_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f488,plain,
( sP21_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f465,f487]) ).
fof(f489,plain,
( ( ( ( op2(e22,e23) = e23
| op2(e22,e22) = e22
| op2(e22,e21) = e21
| op2(e22,e20) = e20
| op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ~ sP23_prd )
| sP21_prd )
& ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP23_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f488]) ).
fof(f490,plain,
( op2(e22,e22) = e22
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f491,plain,
( op2(e22,e22) != e22
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f493,plain,
( op2(e22,e21) != e21
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f496,plain,
( ~ sP23_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f498,definition,
( sP24_prd
<=> ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f499,plain,
( sP22_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f476,f498]) ).
fof(f500,plain,
( ( ( ( op1(e11,e13) = e13
| op1(e11,e12) = e12
| op1(e11,e11) = e11
| op1(e11,e10) = e10
| op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ~ sP24_prd )
| sP22_prd )
& ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| sP24_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f499]) ).
fof(f501,plain,
( op1(e12,e11) = e12
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f507,plain,
( ~ sP24_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f509,definition,
( sP25_prd
<=> ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f510,plain,
( sP23_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f487,f509]) ).
fof(f511,plain,
( ( ( ( op2(e21,e23) = e23
| op2(e21,e22) = e22
| op2(e21,e21) = e21
| op2(e21,e20) = e20
| op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ~ sP25_prd )
| sP23_prd )
& ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| sP25_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f510]) ).
fof(f512,plain,
( op2(e22,e21) = e22
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f518,plain,
( ~ sP25_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f520,definition,
( sP26_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f521,plain,
( sP24_prd
<=> ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f498,f520]) ).
fof(f522,plain,
( ( ( ( op1(e10,e13) = e13
| op1(e10,e12) = e12
| op1(e10,e11) = e11
| op1(e10,e10) = e10
| op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ~ sP26_prd )
| sP24_prd )
& ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| sP26_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f521]) ).
fof(f523,plain,
( op1(e12,e10) = e12
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f525,plain,
( op1(e10,e10) != e10
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f526,plain,
( op1(e10,e11) != e11
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f527,plain,
( op1(e10,e12) != e12
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f528,plain,
( op1(e10,e13) != e13
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f529,plain,
( ~ sP26_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f530,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e12
| op1(e10,e11) = e11
| op1(e10,e10) = e10
| op1(e12,e12) = e10
| op1(e12,e10) != e12
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f531,definition,
( sP27_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f532,plain,
( sP25_prd
<=> ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f509,f531]) ).
fof(f533,plain,
( ( ( ( op2(e20,e23) = e23
| op2(e20,e22) = e22
| op2(e20,e21) = e21
| op2(e20,e20) = e20
| op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ~ sP27_prd )
| sP25_prd )
& ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| sP27_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f532]) ).
fof(f534,plain,
( op2(e22,e20) = e22
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f536,plain,
( op2(e20,e20) != e20
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f538,plain,
( op2(e20,e22) != e22
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f539,plain,
( op2(e20,e23) != e23
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f540,plain,
( ~ sP27_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f542,definition,
( sP28_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f543,plain,
( sP26_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f520,f542]) ).
fof(f544,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e13,e12) = e12
| op1(e13,e11) = e11
| op1(e13,e10) = e10
| op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ~ sP28_prd )
| sP26_prd )
& ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| sP28_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f543]) ).
fof(f545,plain,
( op1(e11,e13) = e11
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f544]) ).
fof(f551,plain,
( ~ sP28_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f544]) ).
fof(f553,definition,
( sP29_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f554,plain,
( sP27_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f531,f553]) ).
fof(f555,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| op2(e23,e20) = e20
| op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ~ sP29_prd )
| sP27_prd )
& ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| sP29_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f554]) ).
fof(f556,plain,
( op2(e21,e23) = e21
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f562,plain,
( ~ sP29_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f564,definition,
( sP30_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f565,plain,
( sP28_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f542,f564]) ).
fof(f566,plain,
( ( ( ( op1(e12,e13) = e13
| op1(e12,e12) = e12
| op1(e12,e11) = e11
| op1(e12,e10) = e10
| op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ~ sP30_prd )
| sP28_prd )
& ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| sP30_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f565]) ).
fof(f567,plain,
( op1(e11,e12) = e11
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f569,plain,
( op1(e12,e10) != e10
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f570,plain,
( op1(e12,e11) != e11
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f571,plain,
( op1(e12,e12) != e12
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f572,plain,
( op1(e12,e13) != e13
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f573,plain,
( ~ sP30_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f575,definition,
( sP31_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f576,plain,
( sP29_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f553,f575]) ).
fof(f577,plain,
( ( ( ( op2(e22,e23) = e23
| op2(e22,e22) = e22
| op2(e22,e21) = e21
| op2(e22,e20) = e20
| op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ~ sP31_prd )
| sP29_prd )
& ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| sP31_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f576]) ).
fof(f578,plain,
( op2(e21,e22) = e21
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f580,plain,
( op2(e22,e20) != e20
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f581,plain,
( op2(e22,e21) != e21
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f582,plain,
( op2(e22,e22) != e22
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f584,plain,
( ~ sP31_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f586,definition,
( sP32_prd
<=> ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f587,plain,
( sP30_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f564,f586]) ).
fof(f588,plain,
( ( ( ( op1(e11,e13) = e13
| op1(e11,e12) = e12
| op1(e11,e11) = e11
| op1(e11,e10) = e10
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ~ sP32_prd )
| sP30_prd )
& ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP32_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f587]) ).
fof(f589,plain,
( op1(e11,e11) = e11
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f590,plain,
( op1(e11,e11) != e11
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f591,plain,
( op1(e11,e10) != e10
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f594,plain,
( op1(e11,e13) != e13
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f595,plain,
( ~ sP32_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f597,definition,
( sP33_prd
<=> ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f598,plain,
( sP31_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f575,f597]) ).
fof(f599,plain,
( ( ( ( op2(e21,e23) = e23
| op2(e21,e22) = e22
| op2(e21,e21) = e21
| op2(e21,e20) = e20
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ~ sP33_prd )
| sP31_prd )
& ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP33_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f598]) ).
fof(f600,plain,
( op2(e21,e21) = e21
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f601,plain,
( op2(e21,e21) != e21
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f602,plain,
( op2(e21,e20) != e20
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f604,plain,
( op2(e21,e22) != e22
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f606,plain,
( ~ sP33_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f608,definition,
( sP34_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f609,plain,
( sP32_prd
<=> ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f586,f608]) ).
fof(f610,plain,
( ( ( ( op1(e10,e13) = e13
| op1(e10,e12) = e12
| op1(e10,e11) = e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ~ sP34_prd )
| sP32_prd )
& ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| sP34_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f609]) ).
fof(f611,plain,
( op1(e11,e10) = e11
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f612,plain,
( op1(e11,e11) != e10
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f613,plain,
( op1(e10,e10) != e10
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f614,plain,
( op1(e10,e11) != e11
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f615,plain,
( op1(e10,e12) != e12
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f616,plain,
( op1(e10,e13) != e13
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f617,plain,
( ~ sP34_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f619,definition,
( sP35_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f620,plain,
( sP33_prd
<=> ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f597,f619]) ).
fof(f621,plain,
( ( ( ( op2(e20,e23) = e23
| op2(e20,e22) = e22
| op2(e20,e21) = e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ~ sP35_prd )
| sP33_prd )
& ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| sP35_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f620]) ).
fof(f622,plain,
( op2(e21,e20) = e21
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f623,plain,
( op2(e21,e21) != e20
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f624,plain,
( op2(e20,e20) != e20
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f626,plain,
( op2(e20,e22) != e22
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f627,plain,
( op2(e20,e23) != e23
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f628,plain,
( ~ sP35_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f630,definition,
( sP36_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f631,plain,
( sP34_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f608,f630]) ).
fof(f632,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e13,e12) = e12
| op1(e13,e11) = e11
| op1(e13,e10) = e10
| op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ~ sP36_prd )
| sP34_prd )
& ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| sP36_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f631]) ).
fof(f633,plain,
( op1(e10,e13) = e10
| sP36_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f639,plain,
( ~ sP36_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f640,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e12
| op1(e13,e11) = e11
| op1(e13,e10) = e10
| op1(e10,e10) = e13
| op1(e10,e13) != e10
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f641,definition,
( sP37_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f642,plain,
( sP35_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f619,f641]) ).
fof(f643,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| op2(e23,e20) = e20
| op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ~ sP37_prd )
| sP35_prd )
& ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| sP37_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f642]) ).
fof(f644,plain,
( op2(e20,e23) = e20
| sP37_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f643]) ).
fof(f651,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| op2(e23,e20) = e20
| op2(e20,e20) = e23
| op2(e20,e23) != e20
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f643]) ).
fof(f652,definition,
( sP38_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f653,plain,
( sP36_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f630,f652]) ).
fof(f654,plain,
( ( ( ( op1(e12,e13) = e13
| op1(e12,e12) = e12
| op1(e12,e11) = e11
| op1(e12,e10) = e10
| op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ~ sP38_prd )
| sP36_prd )
& ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| sP38_prd
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f653]) ).
fof(f655,plain,
( op1(e10,e12) = e10
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f656,plain,
( op1(e10,e10) != e12
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f657,plain,
( op1(e12,e10) != e10
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f658,plain,
( op1(e12,e11) != e11
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f659,plain,
( op1(e12,e12) != e12
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f660,plain,
( op1(e12,e13) != e13
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f661,plain,
( ~ sP38_prd
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f663,definition,
( sP39_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f664,plain,
( sP37_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f641,f663]) ).
fof(f665,plain,
( ( ( ( op2(e22,e23) = e23
| op2(e22,e22) = e22
| op2(e22,e21) = e21
| op2(e22,e20) = e20
| op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ~ sP39_prd )
| sP37_prd )
& ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| sP39_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f664]) ).
fof(f666,plain,
( op2(e20,e22) = e20
| sP39_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f665]) ).
fof(f674,definition,
( sP40_prd
<=> ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f675,plain,
( sP38_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f652,f674]) ).
fof(f676,plain,
( ( ( ( op1(e11,e13) = e13
| op1(e11,e12) = e12
| op1(e11,e11) = e11
| op1(e11,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ~ sP40_prd )
| sP38_prd )
& ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| sP40_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f675]) ).
fof(f677,plain,
( op1(e10,e11) = e10
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f678,plain,
( op1(e10,e10) != e11
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f679,plain,
( op1(e11,e10) != e10
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f680,plain,
( op1(e11,e11) != e11
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f681,plain,
( op1(e11,e12) != e12
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f682,plain,
( op1(e11,e13) != e13
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f683,plain,
( ~ sP40_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f685,definition,
( sP41_prd
<=> ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f686,plain,
( sP39_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f663,f685]) ).
fof(f687,plain,
( ( ( ( op2(e21,e23) = e23
| op2(e21,e22) = e22
| op2(e21,e21) = e21
| op2(e21,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ~ sP41_prd )
| sP39_prd )
& ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| sP41_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f686]) ).
fof(f688,plain,
( op2(e20,e21) = e20
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f689,plain,
( op2(e20,e20) != e21
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f690,plain,
( op2(e21,e20) != e20
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f691,plain,
( op2(e21,e21) != e21
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f692,plain,
( op2(e21,e22) != e22
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f696,plain,
( ( op1(e10,e13) = e13
| op1(e10,e12) = e12
| op1(e10,e11) = e11
| op1(e10,e10) = e10
| op1(e10,e10) = e10
| op1(e10,e10) != e10
| sP40_prd )
& ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f674]) ).
fof(f697,plain,
( op1(e10,e10) = e10
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f698,plain,
( op1(e10,e10) != e10
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f700,plain,
( op1(e10,e11) != e11
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f701,plain,
( op1(e10,e12) != e12
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f702,plain,
( op1(e10,e13) != e13
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f704,plain,
( ( op2(e20,e23) = e23
| op2(e20,e22) = e22
| op2(e20,e21) = e21
| op2(e20,e20) = e20
| op2(e20,e20) = e20
| op2(e20,e20) != e20
| sP41_prd )
& ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f685]) ).
fof(f705,plain,
( op2(e20,e20) = e20
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f706,plain,
( op2(e20,e20) != e20
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f708,plain,
( op2(e20,e21) != e21
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f709,plain,
( op2(e20,e22) != e22
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f712,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f714,plain,
( sQ0_spl
| op1(e10,e10) != e10 ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( ~ sQ3_spl
| op1(e10,e10) = e13 ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f712,f715,f718,f721]) ).
fof(f725,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21,f725,f728,f731,f734]) ).
fof(f738,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f739,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f741,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f22,f738,f741,f744,f747]) ).
fof(f751,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f23,f751,f754,f757,f760]) ).
fof(f764,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f24,f764,f767,f770,f773]) ).
fof(f777,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( ~ sQ20_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f781,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f783,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( ~ sQ22_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f25,f777,f780,f783,f786]) ).
fof(f790,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f26,f790,f793,f796,f799]) ).
fof(f803,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f810,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f27,f803,f806,f809,f812]) ).
fof(f816,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f28,f816,f819,f822,f825]) ).
fof(f829,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f835,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f29,f829,f832,f835,f838]) ).
fof(f842,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ40_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f30,f842,f845,f848,f851]) ).
fof(f855,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f862,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f31,f855,f858,f861,f864]) ).
fof(f868,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f874,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f877,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f881,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f885,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f887,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f890,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f894,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f895,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f897,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f901,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f906,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f34,f894,f897,f900,f903]) ).
fof(f907,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f910,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( sQ61_spl
| op1(e13,e13) != e11 ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f913,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f921,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f712,f764,f816,f868]) ).
fof(f922,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f38,f715,f728,f741,f754]) ).
fof(f923,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f39,f715,f767,f819,f871]) ).
fof(f924,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f718,f731,f744,f757]) ).
fof(f925,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f718,f770,f822,f874]) ).
fof(f926,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f42,f721,f734,f747,f760]) ).
fof(f929,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f45,f725,f777,f829,f881]) ).
fof(f930,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f767,f780,f793,f806]) ).
fof(f931,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f728,f780,f832,f884]) ).
fof(f932,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f48,f770,f783,f796,f809]) ).
fof(f934,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f50,f773,f786,f799,f812]) ).
fof(f935,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f734,f786,f838,f890]) ).
fof(f937,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f738,f790,f842,f894]) ).
fof(f939,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f55,f741,f793,f845,f897]) ).
fof(f940,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f56,f822,f835,f848,f861]) ).
fof(f941,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f744,f796,f848,f900]) ).
fof(f942,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f58,f825,f838,f851,f864]) ).
fof(f944,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f60,f868,f881,f894,f907]) ).
fof(f945,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f61,f751,f803,f855,f907]) ).
fof(f948,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f64,f874,f887,f900,f913]) ).
fof(f949,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f65,f757,f809,f861,f913]) ).
fof(f950,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f66,f877,f890,f903,f916]) ).
fof(f951,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f760,f812,f864,f916]) ).
fof(f952,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f955,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f958,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ66_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ67_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f68,f952,f955,f958,f961]) ).
fof(f965,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ68_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f971,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f975,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f977,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f69,f965,f968,f971,f974]) ).
fof(f978,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f981,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f982,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f987,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f988,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f70,f978,f981,f984,f987]) ).
fof(f991,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f992,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f991]) ).
fof(f994,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f995,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f994]) ).
fof(f997,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f997]) ).
fof(f1000,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1003,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f71,f991,f994,f997,f1000]) ).
fof(f1004,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1005,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1007,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1010,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f1010]) ).
fof(f1013,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1014,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f1013]) ).
fof(f1016,plain,
( sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f72,f1004,f1007,f1010,f1013]) ).
fof(f1017,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1018,plain,
( ~ sQ84_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f1017]) ).
fof(f1020,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1025,plain,
( sQ86_spl
| op2(e21,e21) != e22 ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f73,f1017,f1020,f1023,f1026]) ).
fof(f1030,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1031,plain,
( ~ sQ88_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f1030]) ).
fof(f1033,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1034,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f1033]) ).
fof(f1036,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1039,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( ~ sQ91_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,plain,
( sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f74,f1030,f1033,f1036,f1039]) ).
fof(f1043,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f1043]) ).
fof(f1046,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1051,plain,
( sQ94_spl
| op2(e21,e23) != e22 ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1052,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1053,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f1052]) ).
fof(f1055,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f75,f1043,f1046,f1049,f1052]) ).
fof(f1056,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1060,plain,
( ~ sQ97_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f1059]) ).
fof(f1062,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1063,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1065,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1068,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f76,f1056,f1059,f1062,f1065]) ).
fof(f1069,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1070,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1072,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1075,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1079,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f77,f1069,f1072,f1075,f1078]) ).
fof(f1082,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f1082]) ).
fof(f1085,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1086,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f1085]) ).
fof(f1088,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1091,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1093,plain,
( sQ107_spl
| op2(e22,e22) != e23 ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f78,f1082,f1085,f1088,f1091]) ).
fof(f1095,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1098,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1102,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f1101]) ).
fof(f1104,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1105,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f1104]) ).
fof(f1107,plain,
( sQ111_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f79,f1095,f1098,f1101,f1104]) ).
fof(f1108,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f1114]) ).
fof(f1117,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f1117]) ).
fof(f1121,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1130,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1131,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f1130]) ).
fof(f1134,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1135,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f1134]) ).
fof(f1137,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1138,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1140,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1141,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1143,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f1143]) ).
fof(f1147,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1150,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( sQ125_spl
| op2(e23,e23) != e21 ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1153,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1156,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1157,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f1156]) ).
fof(f1160,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f952,f965,f978,f991]) ).
fof(f1161,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f952,f1004,f1056,f1108]) ).
fof(f1162,plain,
( sQ77_spl
| sQ73_spl
| sQ69_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f86,f955,f968,f981,f994]) ).
fof(f1163,plain,
( sQ113_spl
| sQ97_spl
| sQ81_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f87,f955,f1007,f1059,f1111]) ).
fof(f1164,plain,
( sQ78_spl
| sQ74_spl
| sQ70_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f88,f958,f971,f984,f997]) ).
fof(f1165,plain,
( sQ114_spl
| sQ98_spl
| sQ82_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f89,f958,f1010,f1062,f1114]) ).
fof(f1166,plain,
( sQ79_spl
| sQ75_spl
| sQ71_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f90,f961,f974,f987,f1000]) ).
fof(f1168,plain,
( sQ92_spl
| sQ88_spl
| sQ84_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f92,f1004,f1017,f1030,f1043]) ).
fof(f1169,plain,
( sQ116_spl
| sQ100_spl
| sQ84_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f93,f965,f1017,f1069,f1121]) ).
fof(f1170,plain,
( sQ93_spl
| sQ89_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f94,f1007,f1020,f1033,f1046]) ).
fof(f1171,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f95,f968,f1020,f1072,f1124]) ).
fof(f1172,plain,
( sQ94_spl
| sQ90_spl
| sQ86_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f96,f1010,f1023,f1036,f1049]) ).
fof(f1174,plain,
( sQ95_spl
| sQ91_spl
| sQ87_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f98,f1013,f1026,f1039,f1052]) ).
fof(f1175,plain,
( sQ119_spl
| sQ103_spl
| sQ87_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f99,f974,f1026,f1078,f1130]) ).
fof(f1176,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f1056,f1069,f1082,f1095]) ).
fof(f1178,plain,
( sQ109_spl
| sQ105_spl
| sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f102,f1059,f1072,f1085,f1098]) ).
fof(f1179,plain,
( sQ121_spl
| sQ105_spl
| sQ89_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f103,f981,f1033,f1085,f1137]) ).
fof(f1180,plain,
( sQ110_spl
| sQ106_spl
| sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f104,f1062,f1075,f1088,f1101]) ).
fof(f1181,plain,
( sQ122_spl
| sQ106_spl
| sQ90_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f105,f984,f1036,f1088,f1140]) ).
fof(f1182,plain,
( sQ111_spl
| sQ107_spl
| sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f106,f1065,f1078,f1091,f1104]) ).
fof(f1183,plain,
( sQ123_spl
| sQ107_spl
| sQ91_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f107,f987,f1039,f1091,f1143]) ).
fof(f1184,plain,
( sQ124_spl
| sQ120_spl
| sQ116_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f108,f1108,f1121,f1134,f1147]) ).
fof(f1185,plain,
( sQ124_spl
| sQ108_spl
| sQ92_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f109,f991,f1043,f1095,f1147]) ).
fof(f1188,plain,
( sQ126_spl
| sQ122_spl
| sQ118_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f112,f1114,f1127,f1140,f1153]) ).
fof(f1189,plain,
( sQ126_spl
| sQ110_spl
| sQ94_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f113,f997,f1049,f1101,f1153]) ).
fof(f1190,plain,
( sQ127_spl
| sQ123_spl
| sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f114,f1117,f1130,f1143,f1156]) ).
fof(f1192,definition,
( sQ128_spl
<=> op1(op1(e10,e10),e10) = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1193,plain,
( ~ sQ128_spl
| op1(op1(e10,e10),e10) = op1(e10,e10) ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1195,definition,
( sQ129_spl
<=> op1(op1(e11,e10),e11) = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( ~ sQ129_spl
| op1(op1(e11,e10),e11) = op1(e11,e10) ),
inference(component_clause,[status(thm)],[f1195]) ).
fof(f1198,definition,
( sQ130_spl
<=> op1(op1(e12,e10),e12) = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( ~ sQ130_spl
| op1(op1(e12,e10),e12) = op1(e12,e10) ),
inference(component_clause,[status(thm)],[f1198]) ).
fof(f1201,definition,
( sQ131_spl
<=> op1(op1(e13,e10),e13) = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( ~ sQ131_spl
| op1(op1(e13,e10),e13) = op1(e13,e10) ),
inference(component_clause,[status(thm)],[f1201]) ).
fof(f1204,plain,
( sQ131_spl
| sQ130_spl
| sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f242,f1192,f1195,f1198,f1201]) ).
fof(f1205,definition,
( sQ132_spl
<=> op1(op1(e10,e11),e10) = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1206,plain,
( ~ sQ132_spl
| op1(op1(e10,e11),e10) = op1(e10,e11) ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1208,definition,
( sQ133_spl
<=> op1(op1(e11,e11),e11) = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1209,plain,
( ~ sQ133_spl
| op1(op1(e11,e11),e11) = op1(e11,e11) ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1211,definition,
( sQ134_spl
<=> op1(op1(e12,e11),e12) = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1212,plain,
( ~ sQ134_spl
| op1(op1(e12,e11),e12) = op1(e12,e11) ),
inference(component_clause,[status(thm)],[f1211]) ).
fof(f1214,definition,
( sQ135_spl
<=> op1(op1(e13,e11),e13) = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
( ~ sQ135_spl
| op1(op1(e13,e11),e13) = op1(e13,e11) ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1216,plain,
( sQ135_spl
| op1(op1(e13,e11),e13) != op1(e13,e11) ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1217,plain,
( sQ135_spl
| sQ134_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f243,f1205,f1208,f1211,f1214]) ).
fof(f1218,definition,
( sQ136_spl
<=> op1(op1(e10,e12),e10) = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( ~ sQ136_spl
| op1(op1(e10,e12),e10) = op1(e10,e12) ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1221,definition,
( sQ137_spl
<=> op1(op1(e11,e12),e11) = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1222,plain,
( ~ sQ137_spl
| op1(op1(e11,e12),e11) = op1(e11,e12) ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1224,definition,
( sQ138_spl
<=> op1(op1(e12,e12),e12) = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
( ~ sQ138_spl
| op1(op1(e12,e12),e12) = op1(e12,e12) ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1227,definition,
( sQ139_spl
<=> op1(op1(e13,e12),e13) = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1228,plain,
( ~ sQ139_spl
| op1(op1(e13,e12),e13) = op1(e13,e12) ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( sQ139_spl
| op1(op1(e13,e12),e13) != op1(e13,e12) ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1230,plain,
( sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f244,f1218,f1221,f1224,f1227]) ).
fof(f1231,definition,
( sQ140_spl
<=> op1(op1(e10,e13),e10) = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1232,plain,
( ~ sQ140_spl
| op1(op1(e10,e13),e10) = op1(e10,e13) ),
inference(component_clause,[status(thm)],[f1231]) ).
fof(f1234,definition,
( sQ141_spl
<=> op1(op1(e11,e13),e11) = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1235,plain,
( ~ sQ141_spl
| op1(op1(e11,e13),e11) = op1(e11,e13) ),
inference(component_clause,[status(thm)],[f1234]) ).
fof(f1237,definition,
( sQ142_spl
<=> op1(op1(e12,e13),e12) = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
( ~ sQ142_spl
| op1(op1(e12,e13),e12) = op1(e12,e13) ),
inference(component_clause,[status(thm)],[f1237]) ).
fof(f1240,definition,
( sQ143_spl
<=> op1(op1(e13,e13),e13) = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1241,plain,
( ~ sQ143_spl
| op1(op1(e13,e13),e13) = op1(e13,e13) ),
inference(component_clause,[status(thm)],[f1240]) ).
fof(f1243,plain,
( sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f245,f1231,f1234,f1237,f1240]) ).
fof(f1244,definition,
( sQ144_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( sQ63_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f246,f1244,f916]) ).
fof(f1253,definition,
( sQ145_spl
<=> op2(op2(e20,e20),e20) = op2(e20,e20) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1254,plain,
( ~ sQ145_spl
| op2(op2(e20,e20),e20) = op2(e20,e20) ),
inference(component_clause,[status(thm)],[f1253]) ).
fof(f1255,plain,
( sQ145_spl
| op2(op2(e20,e20),e20) != op2(e20,e20) ),
inference(component_clause,[status(thm)],[f1253]) ).
fof(f1256,definition,
( sQ146_spl
<=> op2(op2(e21,e20),e21) = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1257,plain,
( ~ sQ146_spl
| op2(op2(e21,e20),e21) = op2(e21,e20) ),
inference(component_clause,[status(thm)],[f1256]) ).
fof(f1259,definition,
( sQ147_spl
<=> op2(op2(e22,e20),e22) = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
( ~ sQ147_spl
| op2(op2(e22,e20),e22) = op2(e22,e20) ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1261,plain,
( sQ147_spl
| op2(op2(e22,e20),e22) != op2(e22,e20) ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,definition,
( sQ148_spl
<=> op2(op2(e23,e20),e23) = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( ~ sQ148_spl
| op2(op2(e23,e20),e23) = op2(e23,e20) ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,plain,
( sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f254,f1253,f1256,f1259,f1262]) ).
fof(f1266,definition,
( sQ149_spl
<=> op2(op2(e20,e21),e20) = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( ~ sQ149_spl
| op2(op2(e20,e21),e20) = op2(e20,e21) ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1269,definition,
( sQ150_spl
<=> op2(op2(e21,e21),e21) = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1270,plain,
( ~ sQ150_spl
| op2(op2(e21,e21),e21) = op2(e21,e21) ),
inference(component_clause,[status(thm)],[f1269]) ).
fof(f1271,plain,
( sQ150_spl
| op2(op2(e21,e21),e21) != op2(e21,e21) ),
inference(component_clause,[status(thm)],[f1269]) ).
fof(f1272,definition,
( sQ151_spl
<=> op2(op2(e22,e21),e22) = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1273,plain,
( ~ sQ151_spl
| op2(op2(e22,e21),e22) = op2(e22,e21) ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1275,definition,
( sQ152_spl
<=> op2(op2(e23,e21),e23) = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1276,plain,
( ~ sQ152_spl
| op2(op2(e23,e21),e23) = op2(e23,e21) ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1277,plain,
( sQ152_spl
| op2(op2(e23,e21),e23) != op2(e23,e21) ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1278,plain,
( sQ152_spl
| sQ151_spl
| sQ150_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f255,f1266,f1269,f1272,f1275]) ).
fof(f1279,definition,
( sQ153_spl
<=> op2(op2(e20,e22),e20) = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1280,plain,
( ~ sQ153_spl
| op2(op2(e20,e22),e20) = op2(e20,e22) ),
inference(component_clause,[status(thm)],[f1279]) ).
fof(f1281,plain,
( sQ153_spl
| op2(op2(e20,e22),e20) != op2(e20,e22) ),
inference(component_clause,[status(thm)],[f1279]) ).
fof(f1282,definition,
( sQ154_spl
<=> op2(op2(e21,e22),e21) = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1283,plain,
( ~ sQ154_spl
| op2(op2(e21,e22),e21) = op2(e21,e22) ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1285,definition,
( sQ155_spl
<=> op2(op2(e22,e22),e22) = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( ~ sQ155_spl
| op2(op2(e22,e22),e22) = op2(e22,e22) ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1287,plain,
( sQ155_spl
| op2(op2(e22,e22),e22) != op2(e22,e22) ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,definition,
( sQ156_spl
<=> op2(op2(e23,e22),e23) = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( ~ sQ156_spl
| op2(op2(e23,e22),e23) = op2(e23,e22) ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
( sQ156_spl
| op2(op2(e23,e22),e23) != op2(e23,e22) ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,plain,
( sQ156_spl
| sQ155_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f256,f1279,f1282,f1285,f1288]) ).
fof(f1292,definition,
( sQ157_spl
<=> op2(op2(e20,e23),e20) = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( ~ sQ157_spl
| op2(op2(e20,e23),e20) = op2(e20,e23) ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1294,plain,
( sQ157_spl
| op2(op2(e20,e23),e20) != op2(e20,e23) ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1295,definition,
( sQ158_spl
<=> op2(op2(e21,e23),e21) = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1296,plain,
( ~ sQ158_spl
| op2(op2(e21,e23),e21) = op2(e21,e23) ),
inference(component_clause,[status(thm)],[f1295]) ).
fof(f1298,definition,
( sQ159_spl
<=> op2(op2(e22,e23),e22) = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1299,plain,
( ~ sQ159_spl
| op2(op2(e22,e23),e22) = op2(e22,e23) ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,definition,
( sQ160_spl
<=> op2(op2(e23,e23),e23) = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1302,plain,
( ~ sQ160_spl
| op2(op2(e23,e23),e23) = op2(e23,e23) ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1304,plain,
( sQ160_spl
| sQ159_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f257,f1292,f1295,f1298,f1301]) ).
fof(f1305,definition,
( sQ161_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
( sQ127_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f258,f1305,f1156]) ).
fof(f1314,definition,
( sQ162_spl
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1316,plain,
( sQ162_spl
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1317,definition,
( sQ163_spl
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1319,plain,
( sQ163_spl
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(component_clause,[status(thm)],[f1317]) ).
fof(f1320,definition,
( sQ164_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1322,plain,
( sQ164_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f1320]) ).
fof(f1323,definition,
( sQ165_spl
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1325,plain,
( sQ165_spl
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f1323]) ).
fof(f1326,definition,
( sQ166_spl
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1328,plain,
( sQ166_spl
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f1326]) ).
fof(f1329,definition,
( sQ167_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1330,plain,
( ~ sQ167_spl
| h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f1329]) ).
fof(f1331,plain,
( sQ167_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f1329]) ).
fof(f1332,definition,
( sQ168_spl
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
( sQ168_spl
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12)) ),
inference(component_clause,[status(thm)],[f1332]) ).
fof(f1335,definition,
( sQ169_spl
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
( sQ169_spl
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13)) ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1338,definition,
( sQ170_spl
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1340,plain,
( sQ170_spl
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1341,definition,
( sQ171_spl
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( sQ171_spl
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11)) ),
inference(component_clause,[status(thm)],[f1341]) ).
fof(f1344,definition,
( sQ172_spl
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
( sQ172_spl
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f1344]) ).
fof(f1347,definition,
( sQ173_spl
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
( sQ173_spl
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f1347]) ).
fof(f1350,definition,
( sQ174_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1352,plain,
( sQ174_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f1350]) ).
fof(f1353,definition,
( sQ175_spl
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1355,plain,
( sQ175_spl
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f1353]) ).
fof(f1356,definition,
( sQ176_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1358,plain,
( sQ176_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1359,definition,
( sQ177_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1361,plain,
( sQ177_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f1359]) ).
fof(f1362,definition,
( sQ178_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1365,definition,
( sQ179_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1368,definition,
( sQ180_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1371,definition,
( sQ181_spl
<=> h1(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1372,plain,
( ~ sQ181_spl
| h1(e10) = e23 ),
inference(component_clause,[status(thm)],[f1371]) ).
fof(f1373,plain,
( sQ181_spl
| h1(e10) != e23 ),
inference(component_clause,[status(thm)],[f1371]) ).
fof(f1375,definition,
( sQ182_spl
<=> h1(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1377,plain,
( sQ182_spl
| h1(e11) != e23 ),
inference(component_clause,[status(thm)],[f1375]) ).
fof(f1393,definition,
( sQ187_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( sQ187_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f1393]) ).
fof(f1396,definition,
( sQ188_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1398,plain,
( sQ188_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,definition,
( sQ189_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1401,plain,
( sQ189_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1402,definition,
( sQ190_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1404,plain,
( sQ190_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f1402]) ).
fof(f1405,definition,
( sQ191_spl
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1407,plain,
( sQ191_spl
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1408,definition,
( sQ192_spl
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1410,plain,
( sQ192_spl
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f1408]) ).
fof(f1411,definition,
( sQ193_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1413,plain,
( sQ193_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1411]) ).
fof(f1414,definition,
( sQ194_spl
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1416,plain,
( sQ194_spl
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(component_clause,[status(thm)],[f1414]) ).
fof(f1417,definition,
( sQ195_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
( sQ195_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1417]) ).
fof(f1420,definition,
( sQ196_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( sQ196_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1423,definition,
( sQ197_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1425,plain,
( sQ197_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f1423]) ).
fof(f1426,definition,
( sQ198_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1428,plain,
( sQ198_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1426]) ).
fof(f1429,definition,
( sQ199_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1431,plain,
( sQ199_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1432,definition,
( sQ200_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1434,plain,
( sQ200_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1432]) ).
fof(f1435,definition,
( sQ201_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1438,definition,
( sQ202_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1441,definition,
( sQ203_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1448,definition,
( sQ205_spl
<=> h2(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1449,plain,
( ~ sQ205_spl
| h2(e11) = e23 ),
inference(component_clause,[status(thm)],[f1448]) ).
fof(f1450,plain,
( sQ205_spl
| h2(e11) != e23 ),
inference(component_clause,[status(thm)],[f1448]) ).
fof(f1460,definition,
( sQ208_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1462,plain,
( sQ208_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1463,definition,
( sQ209_spl
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1465,plain,
( sQ209_spl
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11)) ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1466,definition,
( sQ210_spl
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( sQ210_spl
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1469,definition,
( sQ211_spl
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
( sQ211_spl
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1469]) ).
fof(f1472,definition,
( sQ212_spl
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1474,plain,
( sQ212_spl
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,definition,
( sQ213_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1476,plain,
( ~ sQ213_spl
| h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1477,plain,
( sQ213_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1478,definition,
( sQ214_spl
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1480,plain,
( sQ214_spl
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f1478]) ).
fof(f1481,definition,
( sQ215_spl
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1483,plain,
( sQ215_spl
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(component_clause,[status(thm)],[f1481]) ).
fof(f1484,definition,
( sQ216_spl
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1486,plain,
( sQ216_spl
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) ),
inference(component_clause,[status(thm)],[f1484]) ).
fof(f1487,definition,
( sQ217_spl
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1489,plain,
( sQ217_spl
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11)) ),
inference(component_clause,[status(thm)],[f1487]) ).
fof(f1490,definition,
( sQ218_spl
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1492,plain,
( sQ218_spl
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f1490]) ).
fof(f1493,definition,
( sQ219_spl
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1495,plain,
( sQ219_spl
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(component_clause,[status(thm)],[f1493]) ).
fof(f1496,definition,
( sQ220_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1498,plain,
( sQ220_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f1496]) ).
fof(f1499,definition,
( sQ221_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1500,plain,
( ~ sQ221_spl
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1499]) ).
fof(f1501,plain,
( sQ221_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1499]) ).
fof(f1502,definition,
( sQ222_spl
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1503,plain,
( ~ sQ222_spl
| h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1504,plain,
( sQ222_spl
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1505,definition,
( sQ223_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1506,plain,
( ~ sQ223_spl
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1505]) ).
fof(f1507,plain,
( sQ223_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1505]) ).
fof(f1508,definition,
( sQ224_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1511,definition,
( sQ225_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1514,definition,
( sQ226_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1517,definition,
( sQ227_spl
<=> h3(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1518,plain,
( ~ sQ227_spl
| h3(e10) = e23 ),
inference(component_clause,[status(thm)],[f1517]) ).
fof(f1519,plain,
( sQ227_spl
| h3(e10) != e23 ),
inference(component_clause,[status(thm)],[f1517]) ).
fof(f1521,definition,
( sQ228_spl
<=> h3(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1522,plain,
( ~ sQ228_spl
| h3(e11) = e23 ),
inference(component_clause,[status(thm)],[f1521]) ).
fof(f1523,plain,
( sQ228_spl
| h3(e11) != e23 ),
inference(component_clause,[status(thm)],[f1521]) ).
fof(f1525,definition,
( sQ229_spl
<=> h3(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1526,plain,
( ~ sQ229_spl
| h3(e12) = e23 ),
inference(component_clause,[status(thm)],[f1525]) ).
fof(f1527,plain,
( sQ229_spl
| h3(e12) != e23 ),
inference(component_clause,[status(thm)],[f1525]) ).
fof(f1533,definition,
( sQ231_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1534,plain,
( ~ sQ231_spl
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1533]) ).
fof(f1535,plain,
( sQ231_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1533]) ).
fof(f1536,definition,
( sQ232_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1537,plain,
( ~ sQ232_spl
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f1536]) ).
fof(f1538,plain,
( sQ232_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f1536]) ).
fof(f1539,definition,
( sQ233_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1541,plain,
( sQ233_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1542,definition,
( sQ234_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1543,plain,
( ~ sQ234_spl
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f1542]) ).
fof(f1544,plain,
( sQ234_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f1542]) ).
fof(f1545,definition,
( sQ235_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
( sQ235_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f1545]) ).
fof(f1548,definition,
( sQ236_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1549,plain,
( ~ sQ236_spl
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f1548]) ).
fof(f1550,plain,
( sQ236_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f1548]) ).
fof(f1551,definition,
( sQ237_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ237_spl
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1553,plain,
( sQ237_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1554,definition,
( sQ238_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1556,plain,
( sQ238_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f1554]) ).
fof(f1557,definition,
( sQ239_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1558,plain,
( ~ sQ239_spl
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1557]) ).
fof(f1559,plain,
( sQ239_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1557]) ).
fof(f1560,definition,
( sQ240_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1561,plain,
( ~ sQ240_spl
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f1560]) ).
fof(f1562,plain,
( sQ240_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f1560]) ).
fof(f1563,definition,
( sQ241_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( sQ241_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f1563]) ).
fof(f1566,definition,
( sQ242_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1567,plain,
( ~ sQ242_spl
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f1566]) ).
fof(f1568,plain,
( sQ242_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f1566]) ).
fof(f1569,definition,
( sQ243_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1571,plain,
( sQ243_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f1569]) ).
fof(f1572,definition,
( sQ244_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
( sQ244_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f1572]) ).
fof(f1575,definition,
( sQ245_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1577,plain,
( sQ245_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f1575]) ).
fof(f1578,definition,
( sQ246_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1579,plain,
( ~ sQ246_spl
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1578]) ).
fof(f1580,plain,
( sQ246_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1578]) ).
fof(f1581,definition,
( sQ247_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1584,definition,
( sQ248_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1587,definition,
( sQ249_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1602,definition,
( sQ253_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
( ~ sQ253_spl
| h4(e13) = e23 ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1604,plain,
( sQ253_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1605,plain,
( ~ sQ253_spl
| sQ249_spl
| sQ248_spl
| sQ247_spl
| ~ sQ246_spl
| ~ sQ245_spl
| ~ sQ244_spl
| ~ sQ243_spl
| ~ sQ242_spl
| ~ sQ241_spl
| ~ sQ240_spl
| ~ sQ239_spl
| ~ sQ238_spl
| ~ sQ237_spl
| ~ sQ236_spl
| ~ sQ235_spl
| ~ sQ234_spl
| ~ sQ233_spl
| ~ sQ232_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f315,f1533,f1536,f1539,f1542,f1545,f1548,f1551,f1554,f1557,f1560,f1563,f1566,f1569,f1572,f1575,f1578,f1581,f1584,f1587,f1602]) ).
fof(f1606,definition,
( sQ254_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1609,plain,
( sQ59_spl
| sQ254_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f319,f1244,f1606,f903]) ).
fof(f1617,definition,
( sQ255_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1620,plain,
( sQ123_spl
| sQ255_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f330,f1305,f1617,f1143]) ).
fof(f1632,definition,
( sQ257_spl
<=> h1(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1633,plain,
( ~ sQ257_spl
| h1(e11) = e20 ),
inference(component_clause,[status(thm)],[f1632]) ).
fof(f1635,plain,
( ~ sQ257_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f340,f1362,f1632]) ).
fof(f1636,definition,
( sQ258_spl
<=> h1(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1637,plain,
( ~ sQ258_spl
| h1(e12) = e20 ),
inference(component_clause,[status(thm)],[f1636]) ).
fof(f1638,plain,
( sQ258_spl
| h1(e12) != e20 ),
inference(component_clause,[status(thm)],[f1636]) ).
fof(f1639,plain,
( ~ sQ258_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f341,f1362,f1636]) ).
fof(f1645,definition,
( sQ260_spl
<=> h1(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1646,plain,
( ~ sQ260_spl
| h1(e10) = e21 ),
inference(component_clause,[status(thm)],[f1645]) ).
fof(f1647,plain,
( sQ260_spl
| h1(e10) != e21 ),
inference(component_clause,[status(thm)],[f1645]) ).
fof(f1649,definition,
( sQ261_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1650,plain,
( ~ sQ261_spl
| h1(e11) = e21 ),
inference(component_clause,[status(thm)],[f1649]) ).
fof(f1651,plain,
( sQ261_spl
| h1(e11) != e21 ),
inference(component_clause,[status(thm)],[f1649]) ).
fof(f1652,plain,
( ~ sQ261_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f346,f1365,f1649]) ).
fof(f1653,definition,
( sQ262_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1654,plain,
( ~ sQ262_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f1653]) ).
fof(f1655,plain,
( sQ262_spl
| h1(e12) != e21 ),
inference(component_clause,[status(thm)],[f1653]) ).
fof(f1656,plain,
( ~ sQ262_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f347,f1365,f1653]) ).
fof(f1657,definition,
( sQ263_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1658,plain,
( ~ sQ263_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f1657]) ).
fof(f1661,plain,
( sQ263_spl
| sQ262_spl
| sQ261_spl
| sQ260_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f349,f1365,f1645,f1649,f1653,f1657]) ).
fof(f1662,definition,
( sQ264_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1663,plain,
( ~ sQ264_spl
| h1(e10) = e22 ),
inference(component_clause,[status(thm)],[f1662]) ).
fof(f1666,definition,
( sQ265_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1667,plain,
( ~ sQ265_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1668,plain,
( sQ265_spl
| h1(e11) != e22 ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1669,plain,
( ~ sQ265_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f352,f1368,f1666]) ).
fof(f1670,definition,
( sQ266_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1671,plain,
( ~ sQ266_spl
| h1(e12) = e22 ),
inference(component_clause,[status(thm)],[f1670]) ).
fof(f1673,plain,
( ~ sQ266_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f353,f1368,f1670]) ).
fof(f1674,definition,
( sQ267_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1675,plain,
( ~ sQ267_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f1674]) ).
fof(f1678,plain,
( sQ267_spl
| sQ266_spl
| sQ265_spl
| sQ264_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f355,f1368,f1662,f1666,f1670,f1674]) ).
fof(f1679,definition,
( sQ268_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1680,plain,
( ~ sQ268_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f1679]) ).
fof(f1683,definition,
( sQ269_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1684,plain,
( ~ sQ269_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1685,plain,
( sQ269_spl
| h2(e11) != e20 ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1686,plain,
( ~ sQ269_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f358,f1435,f1683]) ).
fof(f1687,definition,
( sQ270_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f1688,plain,
( ~ sQ270_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f1687]) ).
fof(f1689,plain,
( sQ270_spl
| h2(e12) != e20 ),
inference(component_clause,[status(thm)],[f1687]) ).
fof(f1690,plain,
( ~ sQ270_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f359,f1435,f1687]) ).
fof(f1691,definition,
( sQ271_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1692,plain,
( ~ sQ271_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f1691]) ).
fof(f1695,plain,
( sQ271_spl
| sQ270_spl
| sQ269_spl
| sQ268_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f361,f1435,f1679,f1683,f1687,f1691]) ).
fof(f1696,definition,
( sQ272_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( ~ sQ272_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1700,definition,
( sQ273_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1701,plain,
( ~ sQ273_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f1700]) ).
fof(f1702,plain,
( sQ273_spl
| h2(e11) != e21 ),
inference(component_clause,[status(thm)],[f1700]) ).
fof(f1704,definition,
( sQ274_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1705,plain,
( ~ sQ274_spl
| h2(e12) = e21 ),
inference(component_clause,[status(thm)],[f1704]) ).
fof(f1706,plain,
( sQ274_spl
| h2(e12) != e21 ),
inference(component_clause,[status(thm)],[f1704]) ).
fof(f1708,definition,
( sQ275_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f1710,plain,
( sQ275_spl
| h2(e13) != e21 ),
inference(component_clause,[status(thm)],[f1708]) ).
fof(f1711,plain,
( ~ sQ275_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f366,f1438,f1708]) ).
fof(f1713,definition,
( sQ276_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f1714,plain,
( ~ sQ276_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f1713]) ).
fof(f1715,plain,
( sQ276_spl
| h2(e10) != e22 ),
inference(component_clause,[status(thm)],[f1713]) ).
fof(f1716,plain,
( ~ sQ276_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f369,f1441,f1713]) ).
fof(f1717,definition,
( sQ277_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f1721,definition,
( sQ278_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f1722,plain,
( ~ sQ278_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f1721]) ).
fof(f1723,plain,
( sQ278_spl
| h2(e12) != e22 ),
inference(component_clause,[status(thm)],[f1721]) ).
fof(f1725,definition,
( sQ279_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f1726,plain,
( ~ sQ279_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1729,plain,
( sQ279_spl
| sQ278_spl
| sQ277_spl
| sQ276_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f373,f1441,f1713,f1717,f1721,f1725]) ).
fof(f1730,definition,
( sQ280_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f1731,plain,
( ~ sQ280_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f1730]) ).
fof(f1732,plain,
( sQ280_spl
| h3(e10) != e20 ),
inference(component_clause,[status(thm)],[f1730]) ).
fof(f1734,definition,
( sQ281_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f1735,plain,
( ~ sQ281_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f1734]) ).
fof(f1738,definition,
( sQ282_spl
<=> h3(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f1741,plain,
( ~ sQ282_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f377,f1508,f1738]) ).
fof(f1742,definition,
( sQ283_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f1743,plain,
( ~ sQ283_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f1742]) ).
fof(f1746,plain,
( sQ283_spl
| sQ282_spl
| sQ281_spl
| sQ280_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f379,f1508,f1730,f1734,f1738,f1742]) ).
fof(f1747,definition,
( sQ284_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f1748,plain,
( ~ sQ284_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f1747]) ).
fof(f1751,definition,
( sQ285_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f1752,plain,
( ~ sQ285_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f1751]) ).
fof(f1753,plain,
( sQ285_spl
| h3(e11) != e21 ),
inference(component_clause,[status(thm)],[f1751]) ).
fof(f1754,plain,
( ~ sQ285_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f382,f1511,f1751]) ).
fof(f1755,definition,
( sQ286_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f1756,plain,
( ~ sQ286_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f1755]) ).
fof(f1759,definition,
( sQ287_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f1760,plain,
( ~ sQ287_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f1759]) ).
fof(f1763,plain,
( sQ287_spl
| sQ286_spl
| sQ285_spl
| sQ284_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f385,f1511,f1747,f1751,f1755,f1759]) ).
fof(f1764,definition,
( sQ288_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f1765,plain,
( ~ sQ288_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f1764]) ).
fof(f1768,definition,
( sQ289_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f1769,plain,
( ~ sQ289_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f1768]) ).
fof(f1770,plain,
( sQ289_spl
| h3(e11) != e22 ),
inference(component_clause,[status(thm)],[f1768]) ).
fof(f1772,definition,
( sQ290_spl
<=> h3(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f1773,plain,
( ~ sQ290_spl
| h3(e12) = e22 ),
inference(component_clause,[status(thm)],[f1772]) ).
fof(f1774,plain,
( sQ290_spl
| h3(e12) != e22 ),
inference(component_clause,[status(thm)],[f1772]) ).
fof(f1776,definition,
( sQ291_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f1778,plain,
( sQ291_spl
| h3(e13) != e22 ),
inference(component_clause,[status(thm)],[f1776]) ).
fof(f1779,plain,
( ~ sQ291_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f390,f1514,f1776]) ).
fof(f1781,definition,
( sQ292_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f1782,plain,
( ~ sQ292_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1783,plain,
( sQ292_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1784,plain,
( ~ sQ292_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f393,f1581,f1781]) ).
fof(f1785,definition,
( sQ293_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f1786,plain,
( ~ sQ293_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f1785]) ).
fof(f1789,definition,
( sQ294_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f1790,plain,
( ~ sQ294_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f1789]) ).
fof(f1793,definition,
( sQ295_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f1794,plain,
( ~ sQ295_spl
| h4(e13) = e20 ),
inference(component_clause,[status(thm)],[f1793]) ).
fof(f1798,definition,
( sQ296_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f1799,plain,
( ~ sQ296_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f1798]) ).
fof(f1802,definition,
( sQ297_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f1803,plain,
( ~ sQ297_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f1802]) ).
fof(f1804,plain,
( sQ297_spl
| h4(e11) != e21 ),
inference(component_clause,[status(thm)],[f1802]) ).
fof(f1805,plain,
( ~ sQ297_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f400,f1584,f1802]) ).
fof(f1806,definition,
( sQ298_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f1807,plain,
( ~ sQ298_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f1806]) ).
fof(f1819,definition,
( sQ301_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f1820,plain,
( ~ sQ301_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f1819]) ).
fof(f1823,definition,
( sQ302_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f1824,plain,
( ~ sQ302_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1825,plain,
( sQ302_spl
| h4(e12) != e22 ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1826,plain,
( ~ sQ302_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f407,f1587,f1823]) ).
fof(f1832,definition,
( sQ304_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f1835,plain,
( sQ55_spl
| sQ304_spl
| ~ sQ254_spl ),
inference(split_clause,[status(thm)],[f413,f1606,f1832,f890]) ).
fof(f1843,definition,
( sQ305_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( sQ119_spl
| sQ305_spl
| ~ sQ255_spl ),
inference(split_clause,[status(thm)],[f424,f1617,f1843,f1130]) ).
fof(f1854,definition,
( sQ306_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f1858,plain,
( ~ sQ60_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f436,f1832,f1854,f907]) ).
fof(f1859,plain,
( ~ sQ0_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f437,f1832,f1854,f712]) ).
fof(f1860,plain,
( ~ sQ5_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f438,f1832,f1854,f728]) ).
fof(f1861,plain,
( ~ sQ10_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f439,f1832,f1854,f744]) ).
fof(f1862,plain,
( ~ sQ15_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f440,f1832,f1854,f760]) ).
fof(f1865,definition,
( sQ307_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f1870,plain,
( ~ sQ64_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f448,f1843,f1865,f952]) ).
fof(f1871,plain,
( ~ sQ69_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f449,f1843,f1865,f968]) ).
fof(f1872,plain,
( ~ sQ74_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f450,f1843,f1865,f984]) ).
fof(f1873,plain,
( ~ sQ79_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f451,f1843,f1865,f1000]) ).
fof(f1876,definition,
( sQ308_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f1879,plain,
( sQ46_spl
| sQ308_spl
| ~ sQ306_spl ),
inference(split_clause,[status(thm)],[f457,f1854,f1876,f861]) ).
fof(f1880,plain,
( ~ sQ43_spl
| sQ308_spl
| ~ sQ306_spl ),
inference(split_clause,[status(thm)],[f458,f1854,f1876,f851]) ).
fof(f1885,plain,
( ~ sQ308_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f463,f1854,f1876]) ).
fof(f1887,definition,
( sQ309_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f1890,plain,
( sQ110_spl
| sQ309_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f468,f1865,f1887,f1101]) ).
fof(f1891,plain,
( ~ sQ107_spl
| sQ309_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f469,f1865,f1887,f1091]) ).
fof(f1896,plain,
( ~ sQ309_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f474,f1865,f1887]) ).
fof(f1898,definition,
( sQ310_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f1901,plain,
( sQ42_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f479,f1876,f1898,f848]) ).
fof(f1902,plain,
( ~ sQ42_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f480,f1876,f1898,f848]) ).
fof(f1904,plain,
( ~ sQ37_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f482,f1876,f1898,f832]) ).
fof(f1906,plain,
( ~ sQ47_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f484,f1876,f1898,f864]) ).
fof(f1907,plain,
( ~ sQ310_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f485,f1876,f1898]) ).
fof(f1909,definition,
( sQ311_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f1912,plain,
( sQ106_spl
| sQ311_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f490,f1887,f1909,f1088]) ).
fof(f1913,plain,
( ~ sQ106_spl
| sQ311_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f491,f1887,f1909,f1088]) ).
fof(f1915,plain,
( ~ sQ101_spl
| sQ311_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f493,f1887,f1909,f1072]) ).
fof(f1918,plain,
( ~ sQ311_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f496,f1887,f1909]) ).
fof(f1920,definition,
( sQ312_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f1923,plain,
( sQ38_spl
| sQ312_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f501,f1898,f1920,f835]) ).
fof(f1929,plain,
( ~ sQ312_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f507,f1898,f1920]) ).
fof(f1931,definition,
( sQ313_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f1934,plain,
( sQ102_spl
| sQ313_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f512,f1909,f1931,f1075]) ).
fof(f1940,plain,
( ~ sQ313_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f518,f1909,f1931]) ).
fof(f1942,definition,
( sQ314_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
( sQ34_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f523,f1920,f1942,f822]) ).
fof(f1947,plain,
( ~ sQ0_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f525,f1920,f1942,f712]) ).
fof(f1948,plain,
( ~ sQ5_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f526,f1920,f1942,f728]) ).
fof(f1949,plain,
( ~ sQ10_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f527,f1920,f1942,f744]) ).
fof(f1950,plain,
( ~ sQ15_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f528,f1920,f1942,f760]) ).
fof(f1951,plain,
( ~ sQ314_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f529,f1920,f1942]) ).
fof(f1952,plain,
( sQ15_spl
| sQ10_spl
| sQ5_spl
| sQ0_spl
| sQ40_spl
| ~ sQ34_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f530,f1920,f822,f842,f712,f728,f744,f760]) ).
fof(f1953,definition,
( sQ315_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f1956,plain,
( sQ98_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f534,f1931,f1953,f1062]) ).
fof(f1958,plain,
( ~ sQ64_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f536,f1931,f1953,f952]) ).
fof(f1960,plain,
( ~ sQ74_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f538,f1931,f1953,f984]) ).
fof(f1961,plain,
( ~ sQ79_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f539,f1931,f1953,f1000]) ).
fof(f1962,plain,
( ~ sQ315_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f540,f1931,f1953]) ).
fof(f1964,definition,
( sQ316_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f1967,plain,
( sQ29_spl
| sQ316_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f545,f1942,f1964,f806]) ).
fof(f1973,plain,
( ~ sQ316_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f551,f1942,f1964]) ).
fof(f1975,definition,
( sQ317_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f1978,plain,
( sQ93_spl
| sQ317_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f556,f1953,f1975,f1046]) ).
fof(f1984,plain,
( ~ sQ317_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f562,f1953,f1975]) ).
fof(f1986,definition,
( sQ318_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f1989,plain,
( sQ25_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f567,f1964,f1986,f793]) ).
fof(f1991,plain,
( ~ sQ32_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f569,f1964,f1986,f816]) ).
fof(f1992,plain,
( ~ sQ37_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f570,f1964,f1986,f832]) ).
fof(f1993,plain,
( ~ sQ42_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f571,f1964,f1986,f848]) ).
fof(f1994,plain,
( ~ sQ47_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f572,f1964,f1986,f864]) ).
fof(f1995,plain,
( ~ sQ318_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f573,f1964,f1986]) ).
fof(f1997,definition,
( sQ319_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f2000,plain,
( sQ89_spl
| sQ319_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f578,f1975,f1997,f1033]) ).
fof(f2002,plain,
( ~ sQ96_spl
| sQ319_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f580,f1975,f1997,f1056]) ).
fof(f2003,plain,
( ~ sQ101_spl
| sQ319_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f581,f1975,f1997,f1072]) ).
fof(f2004,plain,
( ~ sQ106_spl
| sQ319_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f582,f1975,f1997,f1088]) ).
fof(f2006,plain,
( ~ sQ319_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f584,f1975,f1997]) ).
fof(f2008,definition,
( sQ320_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f2011,plain,
( sQ21_spl
| sQ320_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f589,f1986,f2008,f780]) ).
fof(f2012,plain,
( ~ sQ21_spl
| sQ320_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f590,f1986,f2008,f780]) ).
fof(f2013,plain,
( ~ sQ16_spl
| sQ320_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f591,f1986,f2008,f764]) ).
fof(f2016,plain,
( ~ sQ31_spl
| sQ320_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f594,f1986,f2008,f812]) ).
fof(f2017,plain,
( ~ sQ320_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f595,f1986,f2008]) ).
fof(f2019,definition,
( sQ321_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f2022,plain,
( sQ85_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f600,f1997,f2019,f1020]) ).
fof(f2023,plain,
( ~ sQ85_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f601,f1997,f2019,f1020]) ).
fof(f2024,plain,
( ~ sQ80_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f602,f1997,f2019,f1004]) ).
fof(f2026,plain,
( ~ sQ90_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f604,f1997,f2019,f1036]) ).
fof(f2028,plain,
( ~ sQ321_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f606,f1997,f2019]) ).
fof(f2030,definition,
( sQ322_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f2033,plain,
( sQ17_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f611,f2008,f2030,f767]) ).
fof(f2034,plain,
( ~ sQ20_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f612,f2008,f2030,f777]) ).
fof(f2035,plain,
( ~ sQ0_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f613,f2008,f2030,f712]) ).
fof(f2036,plain,
( ~ sQ5_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f614,f2008,f2030,f728]) ).
fof(f2037,plain,
( ~ sQ10_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f615,f2008,f2030,f744]) ).
fof(f2038,plain,
( ~ sQ15_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f616,f2008,f2030,f760]) ).
fof(f2039,plain,
( ~ sQ322_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f617,f2008,f2030]) ).
fof(f2041,definition,
( sQ323_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f2044,plain,
( sQ81_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f622,f2019,f2041,f1007]) ).
fof(f2045,plain,
( ~ sQ84_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f623,f2019,f2041,f1017]) ).
fof(f2046,plain,
( ~ sQ64_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f624,f2019,f2041,f952]) ).
fof(f2048,plain,
( ~ sQ74_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f626,f2019,f2041,f984]) ).
fof(f2049,plain,
( ~ sQ79_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f627,f2019,f2041,f1000]) ).
fof(f2050,plain,
( ~ sQ323_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f628,f2019,f2041]) ).
fof(f2052,definition,
( sQ324_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f2055,plain,
( sQ12_spl
| sQ324_spl
| ~ sQ322_spl ),
inference(split_clause,[status(thm)],[f633,f2030,f2052,f751]) ).
fof(f2061,plain,
( ~ sQ324_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f639,f2030,f2052]) ).
fof(f2062,plain,
( sQ63_spl
| sQ58_spl
| sQ53_spl
| sQ48_spl
| sQ3_spl
| ~ sQ12_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f640,f2030,f751,f721,f868,f884,f900,f916]) ).
fof(f2063,definition,
( sQ325_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f2066,plain,
( sQ76_spl
| sQ325_spl
| ~ sQ323_spl ),
inference(split_clause,[status(thm)],[f644,f2041,f2063,f991]) ).
fof(f2073,plain,
( sQ127_spl
| sQ122_spl
| sQ117_spl
| sQ112_spl
| sQ67_spl
| ~ sQ76_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f651,f2041,f991,f961,f1108,f1124,f1140,f1156]) ).
fof(f2074,definition,
( sQ326_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2077,plain,
( sQ8_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f655,f2052,f2074,f738]) ).
fof(f2078,plain,
( ~ sQ2_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f656,f2052,f2074,f718]) ).
fof(f2079,plain,
( ~ sQ32_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f657,f2052,f2074,f816]) ).
fof(f2080,plain,
( ~ sQ37_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f658,f2052,f2074,f832]) ).
fof(f2081,plain,
( ~ sQ42_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f659,f2052,f2074,f848]) ).
fof(f2082,plain,
( ~ sQ47_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f660,f2052,f2074,f864]) ).
fof(f2083,plain,
( ~ sQ326_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f661,f2052,f2074]) ).
fof(f2085,definition,
( sQ327_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2088,plain,
( sQ72_spl
| sQ327_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f666,f2063,f2085,f978]) ).
fof(f2096,definition,
( sQ328_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2099,plain,
( sQ4_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f677,f2074,f2096,f725]) ).
fof(f2100,plain,
( ~ sQ1_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f678,f2074,f2096,f715]) ).
fof(f2101,plain,
( ~ sQ16_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f679,f2074,f2096,f764]) ).
fof(f2102,plain,
( ~ sQ21_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f680,f2074,f2096,f780]) ).
fof(f2103,plain,
( ~ sQ26_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f681,f2074,f2096,f796]) ).
fof(f2104,plain,
( ~ sQ31_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f682,f2074,f2096,f812]) ).
fof(f2105,plain,
( ~ sQ328_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f683,f2074,f2096]) ).
fof(f2107,definition,
( sQ329_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f2110,plain,
( sQ68_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f688,f2085,f2107,f965]) ).
fof(f2111,plain,
( ~ sQ65_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f689,f2085,f2107,f955]) ).
fof(f2112,plain,
( ~ sQ80_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f690,f2085,f2107,f1004]) ).
fof(f2113,plain,
( ~ sQ85_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f691,f2085,f2107,f1020]) ).
fof(f2114,plain,
( ~ sQ90_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f692,f2085,f2107,f1036]) ).
fof(f2118,plain,
( sQ0_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f697,f2096,f712]) ).
fof(f2119,plain,
( ~ sQ0_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f698,f2096,f712]) ).
fof(f2121,plain,
( ~ sQ5_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f700,f2096,f728]) ).
fof(f2122,plain,
( ~ sQ10_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f701,f2096,f744]) ).
fof(f2123,plain,
( ~ sQ15_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f702,f2096,f760]) ).
fof(f2125,plain,
( sQ64_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f705,f2107,f952]) ).
fof(f2126,plain,
( ~ sQ64_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f706,f2107,f952]) ).
fof(f2128,plain,
( ~ sQ69_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f708,f2107,f968]) ).
fof(f2129,plain,
( ~ sQ74_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f709,f2107,f984]) ).
fof(f2134,plain,
( sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f282,f1604]) ).
fof(f2135,plain,
sQ253_spl,
inference(contradiction_clause,[status(thm)],[f2134]) ).
fof(f2145,plain,
( sQ223_spl
| h3(op1(e13,e13)) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f278,f1507]) ).
fof(f2146,plain,
( sQ223_spl
| h3(op1(e13,e13)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f278,f2145]) ).
fof(f2149,plain,
( sQ239_spl
| ~ sQ302_spl
| h4(op1(e12,e10)) != op2(e22,h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f1824,f1559]) ).
fof(f2150,plain,
( sQ240_spl
| ~ sQ302_spl
| h4(op1(e12,e11)) != op2(e22,h4(e11)) ),
inference(backward_demodulation,[status(thm)],[f1824,f1562]) ).
fof(f2167,plain,
( sQ242_spl
| ~ sQ302_spl
| h4(op1(e12,e13)) != op2(e22,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1824,f1568]) ).
fof(f2170,plain,
( sQ245_spl
| ~ sQ302_spl
| h4(op1(e13,e12)) != op2(h4(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f1824,f1577]) ).
fof(f2171,plain,
( ~ sQ298_spl
| ~ sQ302_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1824,f1807]) ).
fof(f2172,plain,
( ~ sQ298_spl
| ~ sQ302_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2171,f221]) ).
fof(f2173,plain,
( ~ sQ298_spl
| ~ sQ302_spl ),
inference(contradiction_clause,[status(thm)],[f2172]) ).
fof(f2178,plain,
( ~ sQ297_spl
| ~ sQ301_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1820,f1803]) ).
fof(f2179,plain,
( ~ sQ297_spl
| ~ sQ301_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2178,f221]) ).
fof(f2180,plain,
( ~ sQ297_spl
| ~ sQ301_spl ),
inference(contradiction_clause,[status(thm)],[f2179]) ).
fof(f2185,plain,
( sQ222_spl
| h3(op1(e13,e12)) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f278,f1504]) ).
fof(f2189,plain,
( sQ221_spl
| h3(op1(e13,e11)) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f278,f1501]) ).
fof(f2195,plain,
( ~ sQ287_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f278,f1760]) ).
fof(f2196,plain,
( ~ sQ287_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2195,f221]) ).
fof(f2197,plain,
~ sQ287_spl,
inference(contradiction_clause,[status(thm)],[f2196]) ).
fof(f2199,plain,
( ~ sQ286_spl
| ~ sQ290_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1773,f1756]) ).
fof(f2200,plain,
( ~ sQ286_spl
| ~ sQ290_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2199,f221]) ).
fof(f2201,plain,
( ~ sQ286_spl
| ~ sQ290_spl ),
inference(contradiction_clause,[status(thm)],[f2200]) ).
fof(f2202,plain,
( ~ sQ285_spl
| ~ sQ289_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1769,f1752]) ).
fof(f2203,plain,
( ~ sQ285_spl
| ~ sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2202,f221]) ).
fof(f2204,plain,
( ~ sQ285_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f2203]) ).
fof(f2205,plain,
( sQ220_spl
| h3(op1(e13,e10)) != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f278,f1498]) ).
fof(f2207,plain,
( ~ sQ284_spl
| ~ sQ288_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1765,f1748]) ).
fof(f2208,plain,
( ~ sQ284_spl
| ~ sQ288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2207,f221]) ).
fof(f2209,plain,
( ~ sQ284_spl
| ~ sQ288_spl ),
inference(contradiction_clause,[status(thm)],[f2208]) ).
fof(f2210,plain,
( ~ sQ283_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f278,f1743]) ).
fof(f2211,plain,
( ~ sQ283_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2210,f219]) ).
fof(f2212,plain,
~ sQ283_spl,
inference(contradiction_clause,[status(thm)],[f2211]) ).
fof(f2214,plain,
e10 = op1(e13,op1(e13,e11)),
inference(backward_demodulation,[status(thm)],[f265,f264]) ).
fof(f2215,plain,
( sQ223_spl
| h3(e11) != op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f265,f2146]) ).
fof(f2219,plain,
op1(e12,e13) != e11,
inference(backward_demodulation,[status(thm)],[f265,f139]) ).
fof(f2220,plain,
op1(e11,e13) != e11,
inference(backward_demodulation,[status(thm)],[f265,f138]) ).
fof(f2221,plain,
op1(e10,e13) != e11,
inference(backward_demodulation,[status(thm)],[f265,f136]) ).
fof(f2223,plain,
e12 != op1(e13,e12),
inference(backward_demodulation,[status(thm)],[f2228,f161]) ).
fof(f2225,plain,
op1(e12,e11) != e12,
inference(backward_demodulation,[status(thm)],[f2228,f127]) ).
fof(f2226,plain,
op1(e11,e11) != e12,
inference(backward_demodulation,[status(thm)],[f2228,f126]) ).
fof(f2227,plain,
op1(e10,e11) != e12,
inference(backward_demodulation,[status(thm)],[f2228,f124]) ).
fof(f2228,plain,
e12 = op1(e13,e11),
inference(forward_demodulation,[status(thm)],[f265,f266]) ).
fof(f2229,plain,
( ~ sQ279_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f274,f1726]) ).
fof(f2230,plain,
( ~ sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2229,f221]) ).
fof(f2231,plain,
~ sQ279_spl,
inference(contradiction_clause,[status(thm)],[f2230]) ).
fof(f2237,plain,
e20 = op2(e23,op2(e23,e21)),
inference(backward_demodulation,[status(thm)],[f268,f267]) ).
fof(f2241,plain,
op2(e22,e23) != e21,
inference(backward_demodulation,[status(thm)],[f268,f187]) ).
fof(f2242,plain,
op2(e21,e23) != e21,
inference(backward_demodulation,[status(thm)],[f268,f186]) ).
fof(f2243,plain,
op2(e20,e23) != e21,
inference(backward_demodulation,[status(thm)],[f268,f184]) ).
fof(f2244,plain,
e22 != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f2249,f209]) ).
fof(f2246,plain,
op2(e22,e21) != e22,
inference(backward_demodulation,[status(thm)],[f2249,f175]) ).
fof(f2247,plain,
op2(e21,e21) != e22,
inference(backward_demodulation,[status(thm)],[f2249,f174]) ).
fof(f2248,plain,
op2(e20,e21) != e22,
inference(backward_demodulation,[status(thm)],[f2249,f172]) ).
fof(f2249,plain,
e22 = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f268,f269]) ).
fof(f2251,plain,
( ~ sQ274_spl
| ~ sQ278_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1722,f1705]) ).
fof(f2252,plain,
( ~ sQ274_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2251,f221]) ).
fof(f2253,plain,
( ~ sQ274_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f2252]) ).
fof(f2254,plain,
h1(e10) = op2(e20,op2(e20,h1(e11))),
inference(backward_demodulation,[status(thm)],[f272,f271]) ).
fof(f2255,plain,
h1(e11) != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f272,f190]) ).
fof(f2256,plain,
h1(e11) != op2(e20,e22),
inference(backward_demodulation,[status(thm)],[f272,f189]) ).
fof(f2257,plain,
h1(e11) != op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f272,f188]) ).
fof(f2258,plain,
h1(e11) != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f272,f166]) ).
fof(f2259,plain,
h1(e11) != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f272,f165]) ).
fof(f2260,plain,
h1(e11) != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f272,f164]) ).
fof(f2261,plain,
h1(e12) = op2(e20,h1(e11)),
inference(forward_demodulation,[status(thm)],[f272,f273]) ).
fof(f2268,plain,
( ~ sQ272_spl
| ~ sQ276_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1714,f1697]) ).
fof(f2269,plain,
( ~ sQ272_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2268,f221]) ).
fof(f2270,plain,
( ~ sQ272_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f2269]) ).
fof(f2271,plain,
( ~ sQ271_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f274,f1692]) ).
fof(f2272,plain,
( ~ sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2271,f218]) ).
fof(f2273,plain,
~ sQ271_spl,
inference(contradiction_clause,[status(thm)],[f2272]) ).
fof(f2275,plain,
h2(e10) = op2(e21,op2(e21,h2(e11))),
inference(backward_demodulation,[status(thm)],[f276,f275]) ).
fof(f2276,plain,
h2(e11) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f276,f198]) ).
fof(f2277,plain,
h2(e11) != op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f276,f197]) ).
fof(f2278,plain,
op2(e21,e20) != h2(e11),
inference(backward_demodulation,[status(thm)],[f276,f194]) ).
fof(f2279,plain,
h2(e11) != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f276,f173]) ).
fof(f2280,plain,
op2(e20,e21) != h2(e11),
inference(backward_demodulation,[status(thm)],[f276,f170]) ).
fof(f2281,plain,
( ~ sQ269_spl
| e20 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f1684,f276]) ).
fof(f2288,plain,
( ~ sQ281_spl
| e20 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f2291,f181]) ).
fof(f2291,plain,
( ~ sQ281_spl
| e20 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1735,f280]) ).
fof(f2293,plain,
( ~ sQ267_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f270,f1675]) ).
fof(f2294,plain,
( ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2293,f219]) ).
fof(f2295,plain,
~ sQ267_spl,
inference(contradiction_clause,[status(thm)],[f2294]) ).
fof(f2301,plain,
( ~ sQ265_spl
| e22 = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f1667,f272]) ).
fof(f2304,plain,
( ~ sQ292_spl
| e20 = op2(e23,op2(e23,op2(e23,e23))) ),
inference(forward_demodulation,[status(thm)],[f1782,f283]) ).
fof(f2305,plain,
( ~ sQ292_spl
| e20 = op2(e23,op2(e23,e21)) ),
inference(forward_demodulation,[status(thm)],[f268,f2304]) ).
fof(f2307,plain,
( ~ sQ292_spl
| op2(e21,e22) != e20 ),
inference(backward_demodulation,[status(thm)],[f2309,f180]) ).
fof(f2308,plain,
( ~ sQ292_spl
| op2(e20,e22) != e20 ),
inference(backward_demodulation,[status(thm)],[f2309,f178]) ).
fof(f2309,plain,
( ~ sQ292_spl
| e20 = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2249,f2305]) ).
fof(f2311,plain,
( ~ sQ263_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f270,f1658]) ).
fof(f2312,plain,
( ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2311,f218]) ).
fof(f2313,plain,
~ sQ263_spl,
inference(contradiction_clause,[status(thm)],[f2312]) ).
fof(f2315,plain,
( ~ sQ262_spl
| ~ sQ266_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1671,f1654]) ).
fof(f2316,plain,
( ~ sQ262_spl
| ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2315,f221]) ).
fof(f2317,plain,
( ~ sQ262_spl
| ~ sQ266_spl ),
inference(contradiction_clause,[status(thm)],[f2316]) ).
fof(f2319,plain,
( ~ sQ293_spl
| e20 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1786,f284]) ).
fof(f2320,plain,
( ~ sQ293_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f268,f2319]) ).
fof(f2321,plain,
( ~ sQ293_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2320,f218]) ).
fof(f2322,plain,
~ sQ293_spl,
inference(contradiction_clause,[status(thm)],[f2321]) ).
fof(f2323,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f268,f284]) ).
fof(f2324,plain,
( ~ sQ294_spl
| e20 = op2(e23,op2(e23,e23)) ),
inference(forward_demodulation,[status(thm)],[f1790,f285]) ).
fof(f2325,plain,
( ~ sQ294_spl
| e20 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f268,f2324]) ).
fof(f2326,plain,
( ~ sQ294_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2249,f2325]) ).
fof(f2327,plain,
( ~ sQ294_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2326,f219]) ).
fof(f2328,plain,
~ sQ294_spl,
inference(contradiction_clause,[status(thm)],[f2327]) ).
fof(f2329,plain,
h4(e12) = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f268,f285]) ).
fof(f2330,plain,
h4(e12) = e22,
inference(forward_demodulation,[status(thm)],[f2249,f2329]) ).
fof(f2333,plain,
( ~ sQ261_spl
| ~ sQ265_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1667,f1650]) ).
fof(f2334,plain,
( ~ sQ261_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2333,f221]) ).
fof(f2335,plain,
( ~ sQ261_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f2334]) ).
fof(f2336,plain,
( sQ215_spl
| h3(op1(e11,e13)) != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f1483]) ).
fof(f2337,plain,
( ~ sQ260_spl
| ~ sQ264_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1663,f1646]) ).
fof(f2338,plain,
( ~ sQ260_spl
| ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2337,f221]) ).
fof(f2339,plain,
( ~ sQ260_spl
| ~ sQ264_spl ),
inference(contradiction_clause,[status(thm)],[f2338]) ).
fof(f2341,plain,
( ~ sQ295_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1794,f282]) ).
fof(f2342,plain,
( ~ sQ295_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2341,f220]) ).
fof(f2343,plain,
~ sQ295_spl,
inference(contradiction_clause,[status(thm)],[f2342]) ).
fof(f2344,plain,
h4(e10) = op2(e23,op2(e23,e21)),
inference(forward_demodulation,[status(thm)],[f268,f283]) ).
fof(f2345,plain,
h4(e10) = op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f2249,f2344]) ).
fof(f2355,plain,
( sQ200_spl
| h2(e11) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f265,f1434]) ).
fof(f2359,plain,
( sQ199_spl
| h2(op1(e13,e12)) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f274,f1431]) ).
fof(f2361,plain,
( sQ198_spl
| h2(e12) != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f2228,f1428]) ).
fof(f2365,plain,
( sQ197_spl
| h2(op1(e13,e10)) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f274,f1425]) ).
fof(f2381,plain,
( sQ192_spl
| ~ sQ269_spl
| h2(op1(e11,e13)) != op2(e20,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1684,f1410]) ).
fof(f2382,plain,
( sQ192_spl
| ~ sQ269_spl
| h2(op1(e11,e13)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f274,f2381]) ).
fof(f2396,plain,
( sQ211_spl
| h3(op1(e10,e13)) != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f1471]) ).
fof(f2406,plain,
( sQ177_spl
| h1(e11) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f265,f1361]) ).
fof(f2407,plain,
( sQ177_spl
| h1(e11) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f270,f2406]) ).
fof(f2408,plain,
( sQ177_spl
| h1(e11) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f2407]) ).
fof(f2411,plain,
( sQ176_spl
| h1(op1(e13,e12)) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f270,f1358]) ).
fof(f2412,plain,
( sQ175_spl
| h1(e12) != op2(h1(e13),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f2228,f1355]) ).
fof(f2413,plain,
( sQ175_spl
| h1(e12) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f270,f2412]) ).
fof(f2419,plain,
( ~ sQ276_spl
| ~ sQ268_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1680,f1714]) ).
fof(f2420,plain,
( ~ sQ276_spl
| ~ sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2419,f219]) ).
fof(f2421,plain,
( ~ sQ276_spl
| ~ sQ268_spl ),
inference(contradiction_clause,[status(thm)],[f2420]) ).
fof(f2423,plain,
( sQ192_spl
| h2(op1(e11,e13)) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f1410]) ).
fof(f2424,plain,
( sQ200_spl
| h2(e11) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f274,f2355]) ).
fof(f2425,plain,
( sQ200_spl
| h2(e11) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f274,f2424]) ).
fof(f2427,plain,
( sQ188_spl
| h2(op1(e10,e13)) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f1398]) ).
fof(f2428,plain,
( sQ174_spl
| h1(op1(e13,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f270,f1352]) ).
fof(f2429,plain,
( sQ173_spl
| h1(op1(e12,e13)) != op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f270,f1349]) ).
fof(f2431,plain,
( sQ169_spl
| h1(op1(e11,e13)) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f270,f1337]) ).
fof(f2432,plain,
( ~ sQ274_spl
| ~ sQ270_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1688,f1705]) ).
fof(f2433,plain,
( ~ sQ274_spl
| ~ sQ270_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2432,f218]) ).
fof(f2434,plain,
( ~ sQ274_spl
| ~ sQ270_spl ),
inference(contradiction_clause,[status(thm)],[f2433]) ).
fof(f2435,plain,
( sQ196_spl
| h2(op1(e12,e13)) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f1422]) ).
fof(f2436,plain,
( sQ198_spl
| h2(e12) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f2361]) ).
fof(f2438,plain,
( sQ165_spl
| h1(op1(e10,e13)) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f270,f1325]) ).
fof(f2440,plain,
( sQ163_spl
| ~ sQ260_spl
| h1(op1(e10,e11)) != op2(e21,h1(e11)) ),
inference(backward_demodulation,[status(thm)],[f1646,f1319]) ).
fof(f2443,plain,
( sQ166_spl
| ~ sQ260_spl
| h1(op1(e11,e10)) != op2(h1(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f1646,f1328]) ).
fof(f2444,plain,
( sQ170_spl
| ~ sQ260_spl
| h1(op1(e12,e10)) != op2(h1(e12),e21) ),
inference(backward_demodulation,[status(thm)],[f1646,f1340]) ).
fof(f2445,plain,
( sQ174_spl
| ~ sQ260_spl
| h1(op1(e13,e10)) != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f1646,f2428]) ).
fof(f2448,plain,
( ~ sQ71_spl
| e23 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f975,f192]) ).
fof(f2452,plain,
( ~ sQ97_spl
| e21 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f1060,f200]) ).
fof(f2454,plain,
( ~ sQ97_spl
| op2(e21,e20) != e21 ),
inference(backward_demodulation,[status(thm)],[f1060,f167]) ).
fof(f2455,plain,
( ~ sQ97_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f2452,f1072,f1059]) ).
fof(f2456,plain,
( ~ sQ97_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f2454,f1007,f1059]) ).
fof(f2457,plain,
( ~ sQ69_spl
| ~ sQ71_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f975,f969]) ).
fof(f2458,plain,
( ~ sQ69_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2457,f222]) ).
fof(f2459,plain,
( ~ sQ69_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2458]) ).
fof(f2461,plain,
( sQ246_spl
| h4(e11) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f265,f1580]) ).
fof(f2462,plain,
( sQ246_spl
| ~ sQ297_spl
| e21 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1803,f2461]) ).
fof(f2463,plain,
( sQ246_spl
| ~ sQ297_spl
| ~ sQ253_spl
| e21 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1603,f2462]) ).
fof(f2464,plain,
( sQ246_spl
| ~ sQ297_spl
| ~ sQ253_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f2463]) ).
fof(f2465,plain,
( sQ246_spl
| ~ sQ297_spl
| ~ sQ253_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f268,f2464]) ).
fof(f2466,plain,
( sQ246_spl
| ~ sQ297_spl
| ~ sQ253_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2465]) ).
fof(f2467,plain,
( sQ246_spl
| ~ sQ297_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f2466]) ).
fof(f2468,plain,
( ~ sQ246_spl
| h4(e11) = op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f265,f1579]) ).
fof(f2469,plain,
( ~ sQ246_spl
| ~ sQ253_spl
| h4(e11) = op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1603,f2468]) ).
fof(f2470,plain,
( ~ sQ246_spl
| ~ sQ253_spl
| h4(e11) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f2469]) ).
fof(f2471,plain,
( ~ sQ246_spl
| ~ sQ253_spl
| h4(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f268,f2470]) ).
fof(f2490,plain,
( ~ sQ73_spl
| e21 != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f982,f176]) ).
fof(f2491,plain,
( ~ sQ73_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f2490,f1033,f981]) ).
fof(f2492,plain,
( ~ sQ127_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f268,f1157]) ).
fof(f2493,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2492,f222]) ).
fof(f2494,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f2493]) ).
fof(f2497,plain,
( sQ125_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f268,f1152]) ).
fof(f2498,plain,
( sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2497]) ).
fof(f2499,plain,
sQ125_spl,
inference(contradiction_clause,[status(thm)],[f2498]) ).
fof(f2508,plain,
( ~ sQ7_spl
| e13 != op1(e10,e13) ),
inference(backward_demodulation,[status(thm)],[f735,f144]) ).
fof(f2509,plain,
( ~ sQ7_spl
| e13 != op1(e10,e12) ),
inference(backward_demodulation,[status(thm)],[f735,f143]) ).
fof(f2511,plain,
( ~ sQ7_spl
| e13 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f735,f123]) ).
fof(f2515,plain,
( ~ sQ33_spl
| e11 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f820,f153]) ).
fof(f2516,plain,
( ~ sQ33_spl
| e11 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f820,f152]) ).
fof(f2518,plain,
( ~ sQ33_spl
| op1(e11,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f820,f119]) ).
fof(f2519,plain,
( ~ sQ33_spl
| op1(e10,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f820,f117]) ).
fof(f2520,plain,
( ~ sQ33_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2516,f832,f819]) ).
fof(f2521,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2518,f767,f819]) ).
fof(f2533,plain,
( ~ sQ63_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f265,f917]) ).
fof(f2534,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2533,f216]) ).
fof(f2535,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f2534]) ).
fof(f2536,plain,
( ~ sQ53_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f2228,f885]) ).
fof(f2537,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2536,f215]) ).
fof(f2538,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f2537]) ).
fof(f2542,plain,
( sQ61_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f265,f912]) ).
fof(f2543,plain,
( sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2542]) ).
fof(f2544,plain,
sQ61_spl,
inference(contradiction_clause,[status(thm)],[f2543]) ).
fof(f2548,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2508,f760,f734]) ).
fof(f2555,plain,
( ~ sQ9_spl
| e11 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f742,f130]) ).
fof(f2557,plain,
( ~ sQ9_spl
| e11 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f742,f128]) ).
fof(f2558,plain,
( ~ sQ9_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2557,f793,f741]) ).
fof(f2559,plain,
( ~ sQ94_spl
| op2(e21,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f1050,f199]) ).
fof(f2560,plain,
( ~ sQ94_spl
| e22 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f1050,f185]) ).
fof(f2561,plain,
( ~ sQ94_spl
| op2(e20,e23) != e22 ),
inference(backward_demodulation,[status(thm)],[f1050,f182]) ).
fof(f2562,plain,
( ~ sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f2559,f1036,f1049]) ).
fof(f2563,plain,
( ~ sQ78_spl
| e22 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f998,f183]) ).
fof(f2578,plain,
( sQ213_spl
| ~ sQ285_spl
| h3(op1(e11,e11)) != op2(h3(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f1752,f1477]) ).
fof(f2580,plain,
( sQ215_spl
| ~ sQ285_spl
| h3(op1(e11,e13)) != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f1752,f2336]) ).
fof(f2582,plain,
( sQ213_spl
| ~ sQ285_spl
| h3(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1752,f2578]) ).
fof(f2587,plain,
( ~ sQ120_spl
| ~ sQ121_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1138,f1135]) ).
fof(f2588,plain,
( ~ sQ120_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2587,f218]) ).
fof(f2589,plain,
( ~ sQ120_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f2588]) ).
fof(f2590,plain,
( ~ sQ116_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f2249,f1122]) ).
fof(f2591,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2590,f219]) ).
fof(f2592,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f2591]) ).
fof(f2594,plain,
( ~ sQ117_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2249,f1125]) ).
fof(f2595,plain,
( ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2594,f221]) ).
fof(f2596,plain,
~ sQ117_spl,
inference(contradiction_clause,[status(thm)],[f2595]) ).
fof(f2600,plain,
( ~ sQ280_spl
| ~ sQ288_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1765,f1731]) ).
fof(f2601,plain,
( ~ sQ280_spl
| ~ sQ288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2600,f219]) ).
fof(f2602,plain,
( ~ sQ280_spl
| ~ sQ288_spl ),
inference(contradiction_clause,[status(thm)],[f2601]) ).
fof(f2603,plain,
( sQ219_spl
| h3(op1(e12,e13)) != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f1495]) ).
fof(f2607,plain,
( ~ sQ100_spl
| ~ sQ103_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1079,f1070]) ).
fof(f2608,plain,
( ~ sQ100_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2607,f220]) ).
fof(f2609,plain,
( ~ sQ100_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f2608]) ).
fof(f2610,plain,
( ~ sQ30_spl
| op1(e11,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f810,f151]) ).
fof(f2613,plain,
( ~ sQ30_spl
| op1(e10,e13) != e12 ),
inference(backward_demodulation,[status(thm)],[f810,f134]) ).
fof(f2614,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2610,f796,f809]) ).
fof(f2615,plain,
( ~ sQ14_spl
| op1(e10,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f758,f142]) ).
fof(f2616,plain,
( ~ sQ14_spl
| e12 != op1(e12,e13) ),
inference(backward_demodulation,[status(thm)],[f758,f135]) ).
fof(f2617,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2615,f718,f757]) ).
fof(f2618,plain,
( sQ244_spl
| h4(e12) != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2228,f1574]) ).
fof(f2619,plain,
( sQ244_spl
| ~ sQ253_spl
| h4(e12) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1603,f2618]) ).
fof(f2628,plain,
( ~ sQ57_spl
| op1(e11,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f898,f132]) ).
fof(f2630,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2628,f793,f897]) ).
fof(f2634,plain,
( sQ238_spl
| ~ sQ253_spl
| h4(op1(e11,e13)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f1556]) ).
fof(f2639,plain,
( ~ sQ52_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f2228,f882]) ).
fof(f2640,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2639,f213]) ).
fof(f2641,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f2640]) ).
fof(f2645,plain,
( ~ sQ27_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f800,f131]) ).
fof(f2647,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2645,f851,f799]) ).
fof(f2651,plain,
( sQ236_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e11,e11)) != op2(h4(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f2471,f1550]) ).
fof(f2652,plain,
( sQ244_spl
| ~ sQ253_spl
| ~ sQ246_spl
| h4(e12) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f2471,f2619]) ).
fof(f2654,plain,
( sQ236_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2471,f2651]) ).
fof(f2655,plain,
( sQ244_spl
| ~ sQ253_spl
| ~ sQ246_spl
| h4(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f2249,f2652]) ).
fof(f2656,plain,
( ~ sQ39_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f839,f155]) ).
fof(f2657,plain,
( ~ sQ39_spl
| op1(e11,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f839,f125]) ).
fof(f2662,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f839,f830]) ).
fof(f2663,plain,
( ~ sQ36_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2662,f214]) ).
fof(f2664,plain,
( ~ sQ36_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2663]) ).
fof(f2674,plain,
( ~ sQ28_spl
| op1(e11,e10) != e10 ),
inference(forward_demodulation,[status(thm)],[f804,f148]) ).
fof(f2676,plain,
( ~ sQ160_spl
| op2(e21,e23) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f268,f1302]) ).
fof(f2681,plain,
( ~ sQ160_spl
| op2(e21,e23) = e21 ),
inference(forward_demodulation,[status(thm)],[f268,f2676]) ).
fof(f2694,plain,
( sQ242_spl
| ~ sQ302_spl
| ~ sQ253_spl
| h4(op1(e12,e13)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f2167]) ).
fof(f2695,plain,
( sQ245_spl
| ~ sQ302_spl
| ~ sQ56_spl
| h4(e10) != op2(h4(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f895,f2170]) ).
fof(f2696,plain,
( sQ245_spl
| ~ sQ302_spl
| ~ sQ56_spl
| ~ sQ253_spl
| h4(e10) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1603,f2695]) ).
fof(f2701,plain,
( sQ241_spl
| h4(op1(e12,e12)) != op2(h4(e12),e22) ),
inference(backward_demodulation,[status(thm)],[f2330,f1565]) ).
fof(f2702,plain,
( sQ241_spl
| h4(op1(e12,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2330,f2701]) ).
fof(f2707,plain,
( ~ sQ152_spl
| op2(e22,e23) = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2249,f1276]) ).
fof(f2708,plain,
( ~ sQ159_spl
| ~ sQ152_spl
| op2(op2(e22,e23),e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f2709,f1299]) ).
fof(f2709,plain,
( ~ sQ152_spl
| op2(e22,e23) = e22 ),
inference(forward_demodulation,[status(thm)],[f2249,f2707]) ).
fof(f2710,plain,
( ~ sQ159_spl
| ~ sQ152_spl
| op2(e22,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f2709,f2708]) ).
fof(f2725,plain,
( sQ153_spl
| ~ sQ75_spl
| op2(e23,e20) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f988,f1281]) ).
fof(f2726,plain,
( sQ153_spl
| ~ sQ75_spl
| op2(e23,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f988,f2725]) ).
fof(f2727,plain,
( sQ233_spl
| ~ sQ11_spl
| h4(e13) != op2(h4(e10),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f748,f1541]) ).
fof(f2728,plain,
( sQ233_spl
| ~ sQ11_spl
| ~ sQ253_spl
| e23 != op2(h4(e10),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1603,f2727]) ).
fof(f2729,plain,
( sQ233_spl
| ~ sQ11_spl
| ~ sQ253_spl
| e23 != op2(h4(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f2330,f2728]) ).
fof(f2732,plain,
( ~ sQ146_spl
| ~ sQ82_spl
| op2(e22,e21) = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1011,f1257]) ).
fof(f2734,plain,
( ~ sQ146_spl
| ~ sQ82_spl
| op2(e22,e21) = e22 ),
inference(forward_demodulation,[status(thm)],[f1011,f2732]) ).
fof(f2737,plain,
( sQ244_spl
| ~ sQ253_spl
| ~ sQ246_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2330,f2655]) ).
fof(f2738,plain,
( sQ244_spl
| ~ sQ253_spl
| ~ sQ246_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2737]) ).
fof(f2739,plain,
( sQ244_spl
| ~ sQ253_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f2738]) ).
fof(f2744,plain,
( ~ sQ143_spl
| op1(e11,e13) = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f265,f1241]) ).
fof(f2749,plain,
( ~ sQ143_spl
| op1(e11,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f265,f2744]) ).
fof(f2767,plain,
( ~ sQ139_spl
| ~ sQ56_spl
| op1(e10,e13) = op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f895,f1228]) ).
fof(f2772,plain,
( ~ sQ139_spl
| ~ sQ56_spl
| op1(e10,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f895,f2767]) ).
fof(f2773,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f748,f742]) ).
fof(f2774,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2773,f216]) ).
fof(f2775,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2774]) ).
fof(f2776,plain,
( ~ sQ9_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2555,f897,f741]) ).
fof(f2777,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f895,f898]) ).
fof(f2778,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2777,f212]) ).
fof(f2779,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2778]) ).
fof(f2791,plain,
( sQ232_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e10,e11)) != op2(h4(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f2471,f1538]) ).
fof(f2794,plain,
( ~ sQ137_spl
| ~ sQ27_spl
| op1(e13,e11) = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f800,f1222]) ).
fof(f2795,plain,
( ~ sQ137_spl
| ~ sQ27_spl
| e12 = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f2228,f2794]) ).
fof(f2796,plain,
( ~ sQ137_spl
| ~ sQ27_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f800,f2795]) ).
fof(f2797,plain,
( ~ sQ137_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2796,f217]) ).
fof(f2798,plain,
( ~ sQ137_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2797]) ).
fof(f2802,plain,
( ~ sQ145_spl
| ~ sQ265_spl
| op2(op2(e20,e20),e20) = e22 ),
inference(backward_demodulation,[status(thm)],[f2301,f1254]) ).
fof(f2803,plain,
( ~ sQ145_spl
| ~ sQ265_spl
| op2(e22,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f2301,f2802]) ).
fof(f2804,plain,
( sQ234_spl
| ~ sQ253_spl
| h4(op1(e10,e13)) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f1544]) ).
fof(f2805,plain,
( ~ sQ135_spl
| op1(e12,e13) = op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f2228,f1215]) ).
fof(f2806,plain,
( ~ sQ142_spl
| ~ sQ135_spl
| op1(op1(e12,e13),e12) = e12 ),
inference(backward_demodulation,[status(thm)],[f2807,f1238]) ).
fof(f2807,plain,
( ~ sQ135_spl
| op1(e12,e13) = e12 ),
inference(forward_demodulation,[status(thm)],[f2228,f2805]) ).
fof(f2808,plain,
( ~ sQ142_spl
| ~ sQ135_spl
| op1(e12,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f2807,f2806]) ).
fof(f2828,plain,
( ~ sQ133_spl
| ~ sQ23_spl
| op1(op1(e11,e11),e11) = e13 ),
inference(backward_demodulation,[status(thm)],[f787,f1209]) ).
fof(f2829,plain,
( ~ sQ133_spl
| ~ sQ23_spl
| op1(e13,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f787,f2828]) ).
fof(f2830,plain,
( ~ sQ133_spl
| ~ sQ23_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f2228,f2829]) ).
fof(f2831,plain,
( ~ sQ133_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2830,f217]) ).
fof(f2832,plain,
( ~ sQ133_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2831]) ).
fof(f2833,plain,
( ~ sQ155_spl
| ~ sQ105_spl
| op2(op2(e22,e22),e22) = e21 ),
inference(backward_demodulation,[status(thm)],[f1086,f1286]) ).
fof(f2834,plain,
( ~ sQ155_spl
| ~ sQ105_spl
| op2(e21,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f1086,f2833]) ).
fof(f2835,plain,
( ~ sQ138_spl
| ~ sQ41_spl
| op1(op1(e12,e12),e12) = e11 ),
inference(backward_demodulation,[status(thm)],[f846,f1225]) ).
fof(f2836,plain,
( sQ172_spl
| ~ sQ41_spl
| h1(e11) != op2(h1(e12),h1(e12)) ),
inference(backward_demodulation,[status(thm)],[f846,f1346]) ).
fof(f2837,plain,
( ~ sQ138_spl
| ~ sQ41_spl
| op1(e11,e12) = e11 ),
inference(forward_demodulation,[status(thm)],[f846,f2835]) ).
fof(f2846,plain,
( sQ163_spl
| ~ sQ4_spl
| h1(e10) != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f726,f1319]) ).
fof(f2856,plain,
( ~ sQ119_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f2249,f1131]) ).
fof(f2857,plain,
( ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2856,f223]) ).
fof(f2858,plain,
~ sQ119_spl,
inference(contradiction_clause,[status(thm)],[f2857]) ).
fof(f2860,plain,
( ~ sQ55_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f2228,f891]) ).
fof(f2861,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2860,f217]) ).
fof(f2862,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f2861]) ).
fof(f2868,plain,
( ~ sQ7_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2509,f747,f734]) ).
fof(f2869,plain,
( ~ sQ7_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2511,f838,f734]) ).
fof(f2870,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f726,f735]) ).
fof(f2871,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2870,f214]) ).
fof(f2872,plain,
( ~ sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2871]) ).
fof(f2877,plain,
( ~ sQ14_spl
| ~ sQ135_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f2807,f2616]) ).
fof(f2878,plain,
( ~ sQ14_spl
| ~ sQ135_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2877]) ).
fof(f2879,plain,
( ~ sQ14_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f2878]) ).
fof(f2884,plain,
( ~ sQ158_spl
| ~ sQ95_spl
| op2(op2(e21,e23),e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f1053,f1296]) ).
fof(f2885,plain,
( ~ sQ158_spl
| ~ sQ95_spl
| op2(e23,e21) = e23 ),
inference(forward_demodulation,[status(thm)],[f1053,f2884]) ).
fof(f2886,plain,
( ~ sQ158_spl
| ~ sQ95_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f2249,f2885]) ).
fof(f2887,plain,
( ~ sQ158_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2886,f223]) ).
fof(f2888,plain,
( ~ sQ158_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f2887]) ).
fof(f2891,plain,
( sQ221_spl
| h3(e12) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2228,f2189]) ).
fof(f2892,plain,
( sQ221_spl
| ~ sQ290_spl
| e22 != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1773,f2891]) ).
fof(f2893,plain,
( ~ sQ141_spl
| ~ sQ31_spl
| op1(op1(e11,e13),e11) = e13 ),
inference(backward_demodulation,[status(thm)],[f813,f1235]) ).
fof(f2894,plain,
( ~ sQ141_spl
| ~ sQ31_spl
| op1(e13,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f813,f2893]) ).
fof(f2895,plain,
( ~ sQ141_spl
| ~ sQ31_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f2228,f2894]) ).
fof(f2896,plain,
( ~ sQ141_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2895,f217]) ).
fof(f2897,plain,
( ~ sQ141_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2896]) ).
fof(f2898,plain,
( ~ sQ51_spl
| ~ sQ50_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f875,f878]) ).
fof(f2899,plain,
( ~ sQ51_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2898,f217]) ).
fof(f2900,plain,
( ~ sQ51_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2899]) ).
fof(f2903,plain,
( sQ243_spl
| ~ sQ253_spl
| h4(op1(e13,e10)) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1603,f1571]) ).
fof(f2906,plain,
e10 = op1(e13,e12),
inference(forward_demodulation,[status(thm)],[f2228,f2214]) ).
fof(f2907,plain,
( ~ sQ59_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f904,f2906]) ).
fof(f2908,plain,
( ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2907,f214]) ).
fof(f2909,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f2908]) ).
fof(f2910,plain,
( ~ sQ62_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f265,f914]) ).
fof(f2911,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2910,f215]) ).
fof(f2912,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f2911]) ).
fof(f2918,plain,
( ~ sQ33_spl
| ~ sQ41_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f846,f2515]) ).
fof(f2919,plain,
( ~ sQ33_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2918]) ).
fof(f2920,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f2919]) ).
fof(f2929,plain,
( sQ135_spl
| op1(e12,e13) != op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f2228,f1216]) ).
fof(f2930,plain,
( sQ135_spl
| op1(e12,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f2228,f2929]) ).
fof(f2931,plain,
( ~ sQ33_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2519,f715,f819]) ).
fof(f2934,plain,
e20 = op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f2249,f2237]) ).
fof(f2935,plain,
( ~ sQ123_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1144,f2934]) ).
fof(f2936,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2935,f220]) ).
fof(f2937,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f2936]) ).
fof(f2938,plain,
( ~ sQ126_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f268,f1154]) ).
fof(f2939,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2938,f221]) ).
fof(f2940,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f2939]) ).
fof(f2946,plain,
( ~ sQ146_spl
| ~ sQ82_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2734,f2246]) ).
fof(f2947,plain,
( ~ sQ146_spl
| ~ sQ82_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2946]) ).
fof(f2948,plain,
( ~ sQ146_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2947]) ).
fof(f2949,plain,
( ~ sQ264_spl
| e22 = op2(e20,op2(e20,h1(e11))) ),
inference(forward_demodulation,[status(thm)],[f1663,f2254]) ).
fof(f2950,plain,
( ~ sQ264_spl
| ~ sQ261_spl
| e22 = op2(e20,op2(e20,e21)) ),
inference(forward_demodulation,[status(thm)],[f1650,f2949]) ).
fof(f2953,plain,
( ~ sQ157_spl
| ~ sQ76_spl
| op2(op2(e20,e23),e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f992,f1293]) ).
fof(f2954,plain,
( ~ sQ157_spl
| ~ sQ76_spl
| op2(e20,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f992,f2953]) ).
fof(f2955,plain,
( ~ sQ107_spl
| ~ sQ105_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1086,f1092]) ).
fof(f2956,plain,
( ~ sQ107_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2955,f222]) ).
fof(f2957,plain,
( ~ sQ107_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f2956]) ).
fof(f2959,plain,
( ~ sQ261_spl
| e21 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1650,f2256]) ).
fof(f2961,plain,
( ~ sQ261_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f2257]) ).
fof(f2962,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1047,f2242]) ).
fof(f2963,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f2962]) ).
fof(f2966,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1141,f2244]) ).
fof(f2967,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f2966]) ).
fof(f2970,plain,
( ~ sQ261_spl
| e21 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1650,f2259]) ).
fof(f2982,plain,
( sQ275_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f274,f1710]) ).
fof(f2983,plain,
( sQ275_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2982]) ).
fof(f2984,plain,
sQ275_spl,
inference(contradiction_clause,[status(thm)],[f2983]) ).
fof(f2987,plain,
( ~ sQ269_spl
| op2(e20,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f1684,f2280]) ).
fof(f2991,plain,
( ~ sQ269_spl
| op2(e21,e20) != e20 ),
inference(backward_demodulation,[status(thm)],[f1684,f2278]) ).
fof(f2995,plain,
( ~ sQ269_spl
| e20 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f1684,f2276]) ).
fof(f2997,plain,
( ~ sQ269_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f2991,f1004,f1683]) ).
fof(f2998,plain,
( ~ sQ269_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f2995,f1043,f1683]) ).
fof(f2999,plain,
( ~ sQ94_spl
| ~ sQ152_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2709,f2560]) ).
fof(f3000,plain,
( ~ sQ94_spl
| ~ sQ152_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2999]) ).
fof(f3001,plain,
( ~ sQ94_spl
| ~ sQ152_spl ),
inference(contradiction_clause,[status(thm)],[f3000]) ).
fof(f3002,plain,
( ~ sQ105_spl
| op2(e22,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f1086,f203]) ).
fof(f3003,plain,
( ~ sQ105_spl
| op2(e22,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f1086,f201]) ).
fof(f3005,plain,
( ~ sQ105_spl
| op2(e21,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f1086,f179]) ).
fof(f3006,plain,
( ~ sQ75_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f988,f177]) ).
fof(f3017,plain,
( ~ sQ75_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f3006,f1091,f987]) ).
fof(f3018,plain,
( sQ152_spl
| op2(e22,e23) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2249,f1277]) ).
fof(f3019,plain,
( sQ152_spl
| op2(e22,e23) != e22 ),
inference(forward_demodulation,[status(thm)],[f2249,f3018]) ).
fof(f3021,plain,
( ~ sQ160_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f2681,f1046,f1301]) ).
fof(f3022,plain,
( ~ sQ155_spl
| ~ sQ105_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f2834,f1033,f1085,f1285]) ).
fof(f3025,plain,
( ~ sQ97_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f2970]) ).
fof(f3026,plain,
( ~ sQ97_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f3025]) ).
fof(f3028,plain,
( ~ sQ115_spl
| h1(e11) != e23 ),
inference(forward_demodulation,[status(thm)],[f1118,f2258]) ).
fof(f3031,plain,
( ~ sQ66_spl
| h1(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f959,f272]) ).
fof(f3035,plain,
( sQ265_spl
| ~ sQ66_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3031,f1668]) ).
fof(f3036,plain,
( sQ265_spl
| ~ sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3035]) ).
fof(f3037,plain,
( sQ265_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f3036]) ).
fof(f3038,plain,
( ~ sQ78_spl
| ~ sQ76_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f992,f998]) ).
fof(f3039,plain,
( ~ sQ78_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3038,f219]) ).
fof(f3040,plain,
( ~ sQ78_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f3039]) ).
fof(f3044,plain,
( ~ sQ145_spl
| ~ sQ265_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f2803,f1062,f1666,f1253]) ).
fof(f3049,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f972,f2248]) ).
fof(f3050,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f3049]) ).
fof(f3054,plain,
( sQ107_spl
| h3(e11) != e23 ),
inference(forward_demodulation,[status(thm)],[f280,f1093]) ).
fof(f3055,plain,
( sQ153_spl
| ~ sQ75_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f2726,f1117,f987,f1279]) ).
fof(f3056,plain,
( ~ sQ107_spl
| h3(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f280,f1092]) ).
fof(f3057,plain,
( ~ sQ107_spl
| sQ228_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3056,f1523]) ).
fof(f3058,plain,
( ~ sQ107_spl
| sQ228_spl ),
inference(contradiction_clause,[status(thm)],[f3057]) ).
fof(f3063,plain,
h2(e11) != e22,
inference(backward_demodulation,[status(thm)],[f276,f2247]) ).
fof(f3064,plain,
( ~ sQ150_spl
| op2(op2(e21,e21),e21) = h2(e11) ),
inference(backward_demodulation,[status(thm)],[f276,f1270]) ).
fof(f3065,plain,
( ~ sQ150_spl
| op2(h2(e11),e21) = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f276,f3064]) ).
fof(f3069,plain,
( sQ212_spl
| ~ sQ289_spl
| h3(op1(e11,e10)) != op2(e22,h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f1769,f1474]) ).
fof(f3073,plain,
( ~ sQ107_spl
| ~ sQ289_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f1769,f3056]) ).
fof(f3074,plain,
( ~ sQ107_spl
| ~ sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3073,f223]) ).
fof(f3075,plain,
( ~ sQ107_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f3074]) ).
fof(f3076,plain,
( sQ107_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f3054,f1521,f1091]) ).
fof(f3077,plain,
h2(e12) = op2(e21,h2(e11)),
inference(forward_demodulation,[status(thm)],[f276,f277]) ).
fof(f3078,plain,
( sQ198_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3077,f2436]) ).
fof(f3079,plain,
sQ198_spl,
inference(contradiction_clause,[status(thm)],[f3078]) ).
fof(f3104,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f807,f2220]) ).
fof(f3105,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f3104]) ).
fof(f3107,plain,
( ~ sQ28_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2674,f764,f803]) ).
fof(f3112,plain,
( ~ sQ143_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f2749,f806,f1240]) ).
fof(f3113,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f901,f2223]) ).
fof(f3114,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f3113]) ).
fof(f3124,plain,
( ~ sQ12_spl
| op1(e10,e11) != e10 ),
inference(forward_demodulation,[status(thm)],[f752,f144]) ).
fof(f3125,plain,
( sQ190_spl
| ~ sQ21_spl
| h2(e11) != op2(h2(e11),h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f781,f1404]) ).
fof(f3129,plain,
( ~ sQ136_spl
| ~ sQ8_spl
| op1(op1(e10,e12),e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f739,f1219]) ).
fof(f3131,plain,
( ~ sQ136_spl
| ~ sQ8_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f739,f3129]) ).
fof(f3132,plain,
( ~ sQ136_spl
| ~ sQ8_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3131,f714]) ).
fof(f3133,plain,
( ~ sQ136_spl
| ~ sQ8_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f3132]) ).
fof(f3137,plain,
( ~ sQ8_spl
| op1(e10,e11) != e10 ),
inference(forward_demodulation,[status(thm)],[f739,f143]) ).
fof(f3141,plain,
( ~ sQ114_spl
| ~ sQ115_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1118,f1115]) ).
fof(f3142,plain,
( ~ sQ114_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3141,f223]) ).
fof(f3143,plain,
( ~ sQ114_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f3142]) ).
fof(f3145,plain,
( ~ sQ157_spl
| ~ sQ76_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f2954,f952,f991,f1292]) ).
fof(f3146,plain,
( ~ sQ113_spl
| ~ sQ115_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1118,f1112]) ).
fof(f3147,plain,
( ~ sQ113_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3146,f222]) ).
fof(f3148,plain,
( ~ sQ113_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f3147]) ).
fof(f3150,plain,
( ~ sQ105_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f3002,f1072,f1085]) ).
fof(f3152,plain,
( ~ sQ105_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f3005,f1033,f1085]) ).
fof(f3162,plain,
( ~ sQ21_spl
| op1(e10,e11) != e11 ),
inference(forward_demodulation,[status(thm)],[f781,f122]) ).
fof(f3169,plain,
( sQ217_spl
| ~ sQ289_spl
| h3(op1(e12,e11)) != op2(h3(e12),e22) ),
inference(backward_demodulation,[status(thm)],[f1769,f1489]) ).
fof(f3173,plain,
( ~ sQ8_spl
| e10 != op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f739,f145]) ).
fof(f3174,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f752,f3173]) ).
fof(f3175,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3174]) ).
fof(f3176,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f3175]) ).
fof(f3180,plain,
( ~ sQ120_spl
| h4(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f2345,f1135]) ).
fof(f3181,plain,
( ~ sQ120_spl
| sQ292_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3180,f1783]) ).
fof(f3182,plain,
( ~ sQ120_spl
| sQ292_spl ),
inference(contradiction_clause,[status(thm)],[f3181]) ).
fof(f3194,plain,
( ~ sQ115_spl
| op2(e22,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1118,f169]) ).
fof(f3195,plain,
( ~ sQ115_spl
| op2(e21,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1118,f168]) ).
fof(f3204,plain,
( ~ sQ84_spl
| h2(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f276,f1018]) ).
fof(f3205,plain,
( ~ sQ84_spl
| sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3204,f1685]) ).
fof(f3206,plain,
( ~ sQ84_spl
| sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f3205]) ).
fof(f3207,plain,
( ~ sQ269_spl
| e20 = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f276,f2281]) ).
fof(f3209,plain,
( ~ sQ269_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f2987,f965,f1683]) ).
fof(f3212,plain,
( sQ219_spl
| ~ sQ290_spl
| h3(op1(e12,e13)) != op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f1773,f2603]) ).
fof(f3213,plain,
( sQ218_spl
| ~ sQ290_spl
| h3(op1(e12,e12)) != op2(h3(e12),e22) ),
inference(backward_demodulation,[status(thm)],[f1773,f1492]) ).
fof(f3217,plain,
( sQ218_spl
| ~ sQ290_spl
| h3(op1(e12,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1773,f3213]) ).
fof(f3236,plain,
( sQ302_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2330,f1825]) ).
fof(f3237,plain,
( sQ302_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3236]) ).
fof(f3238,plain,
sQ302_spl,
inference(contradiction_clause,[status(thm)],[f3237]) ).
fof(f3239,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f2225]) ).
fof(f3240,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f3239]) ).
fof(f3252,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2613,f757,f809]) ).
fof(f3254,plain,
( ~ sQ138_spl
| ~ sQ41_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f2837,f793,f845,f1224]) ).
fof(f3256,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f781,f787]) ).
fof(f3257,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3256,f216]) ).
fof(f3258,plain,
( ~ sQ23_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3257]) ).
fof(f3268,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f732,f2227]) ).
fof(f3269,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f3268]) ).
fof(f3278,plain,
( ~ sQ86_spl
| h2(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f276,f1024]) ).
fof(f3281,plain,
( sQ291_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f278,f1778]) ).
fof(f3282,plain,
( sQ291_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3281]) ).
fof(f3283,plain,
sQ291_spl,
inference(contradiction_clause,[status(thm)],[f3282]) ).
fof(f3284,plain,
( ~ sQ87_spl
| h2(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f276,f1027]) ).
fof(f3285,plain,
( ~ sQ87_spl
| sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3284,f1450]) ).
fof(f3286,plain,
( ~ sQ87_spl
| sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f3285]) ).
fof(f3295,plain,
( ~ sQ112_spl
| ~ sQ115_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1118,f1109]) ).
fof(f3296,plain,
( ~ sQ112_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3295,f220]) ).
fof(f3297,plain,
( ~ sQ112_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f3296]) ).
fof(f3303,plain,
( ~ sQ292_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f2308,f978,f1781]) ).
fof(f3304,plain,
( sQ86_spl
| h2(e11) != e22 ),
inference(forward_demodulation,[status(thm)],[f276,f1025]) ).
fof(f3309,plain,
( ~ sQ111_spl
| op2(e20,e23) != e23 ),
inference(backward_demodulation,[status(thm)],[f1105,f183]) ).
fof(f3313,plain,
( ~ sQ71_spl
| e23 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f975,f171]) ).
fof(f3314,plain,
( ~ sQ71_spl
| e23 != op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f975,f191]) ).
fof(f3319,plain,
( ~ sQ96_spl
| op2(e21,e20) != e20 ),
inference(backward_demodulation,[status(thm)],[f1057,f167]) ).
fof(f3320,plain,
( ~ sQ96_spl
| e20 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f1057,f200]) ).
fof(f3321,plain,
( ~ sQ96_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f3319,f1004,f1056]) ).
fof(f3322,plain,
( ~ sQ71_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f2448,f1000,f974]) ).
fof(f3324,plain,
( sQ86_spl
| ~ sQ277_spl ),
inference(split_clause,[status(thm)],[f3304,f1717,f1023]) ).
fof(f3326,plain,
( ~ sQ115_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f3194,f1065,f1117]) ).
fof(f3327,plain,
( ~ sQ111_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f3309,f1000,f1104]) ).
fof(f3331,plain,
( sQ236_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e11,e11)) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f276,f2654]) ).
fof(f3332,plain,
h3(e10) = op2(e22,h3(e12)),
inference(backward_demodulation,[status(thm)],[f281,f279]) ).
fof(f3339,plain,
( ~ sQ42_spl
| e12 != op1(e12,e13) ),
inference(backward_demodulation,[status(thm)],[f849,f157]) ).
fof(f3342,plain,
( ~ sQ42_spl
| op1(e10,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f849,f129]) ).
fof(f3343,plain,
( ~ sQ42_spl
| op1(e12,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f849,f153]) ).
fof(f3346,plain,
( ~ sQ42_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3343,f822,f848]) ).
fof(f3348,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f859,f2219]) ).
fof(f3349,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f3348]) ).
fof(f3356,plain,
( sQ233_spl
| ~ sQ11_spl
| ~ sQ253_spl
| ~ sQ120_spl
| e23 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f3180,f2729]) ).
fof(f3357,plain,
( sQ200_spl
| h2(e11) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f276,f2425]) ).
fof(f3358,plain,
( sQ200_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3357]) ).
fof(f3359,plain,
sQ200_spl,
inference(contradiction_clause,[status(thm)],[f3358]) ).
fof(f3363,plain,
( ~ sQ20_spl
| op1(e11,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f778,f146]) ).
fof(f3364,plain,
( ~ sQ20_spl
| e10 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f778,f125]) ).
fof(f3365,plain,
( ~ sQ20_spl
| e10 != op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f778,f150]) ).
fof(f3367,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3364,f829,f777]) ).
fof(f3368,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3365,f803,f777]) ).
fof(f3376,plain,
( sQ169_spl
| ~ sQ265_spl
| h1(op1(e11,e13)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1667,f2431]) ).
fof(f3393,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f869,f878]) ).
fof(f3394,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3393,f214]) ).
fof(f3395,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f3394]) ).
fof(f3396,plain,
( ~ sQ20_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3363,f764,f777]) ).
fof(f3397,plain,
( sQ245_spl
| ~ sQ302_spl
| ~ sQ56_spl
| ~ sQ253_spl
| ~ sQ120_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3180,f2696]) ).
fof(f3400,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3124,f725,f751]) ).
fof(f3402,plain,
( ~ sQ42_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3342,f744,f848]) ).
fof(f3406,plain,
( sQ233_spl
| ~ sQ11_spl
| ~ sQ253_spl
| ~ sQ120_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f3356,f987,f1134,f1602,f747,f1539]) ).
fof(f3407,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2657,f786,f838]) ).
fof(f3414,plain,
( ~ sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3162,f728,f780]) ).
fof(f3417,plain,
( ~ sQ139_spl
| op1(op1(e13,e12),e13) = e10 ),
inference(backward_demodulation,[status(thm)],[f2906,f1228]) ).
fof(f3418,plain,
op1(e11,e12) != e10,
inference(backward_demodulation,[status(thm)],[f2906,f132]) ).
fof(f3419,plain,
( sQ176_spl
| h1(e10) != op2(e20,h1(e12)) ),
inference(backward_demodulation,[status(thm)],[f2906,f2411]) ).
fof(f3420,plain,
op1(e10,e12) != e10,
inference(backward_demodulation,[status(thm)],[f2906,f130]) ).
fof(f3421,plain,
( sQ199_spl
| h2(e10) != op2(e21,h2(e12)) ),
inference(backward_demodulation,[status(thm)],[f2906,f2359]) ).
fof(f3423,plain,
( ~ sQ139_spl
| op1(e10,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f2906,f3417]) ).
fof(f3429,plain,
( ~ sQ46_spl
| op1(e11,e13) != e12 ),
inference(backward_demodulation,[status(thm)],[f862,f137]) ).
fof(f3431,plain,
( ~ sQ46_spl
| op1(e12,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f862,f154]) ).
fof(f3434,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3429,f809,f861]) ).
fof(f3435,plain,
( ~ sQ46_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3431,f822,f861]) ).
fof(f3441,plain,
( ~ sQ156_spl
| op2(e20,e23) = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2934,f1289]) ).
fof(f3442,plain,
( ~ sQ156_spl
| e20 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f3444,f182]) ).
fof(f3444,plain,
( ~ sQ156_spl
| op2(e20,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f2934,f3441]) ).
fof(f3445,plain,
( ~ sQ156_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f3442,f1043,f1288]) ).
fof(f3446,plain,
( sQ156_spl
| op2(e20,e23) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2934,f1290]) ).
fof(f3447,plain,
( sQ156_spl
| op2(e20,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f2934,f3446]) ).
fof(f3448,plain,
( ~ sQ94_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f2561,f997,f1049]) ).
fof(f3453,plain,
( ~ sQ71_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3313,f1078,f974]) ).
fof(f3454,plain,
( ~ sQ71_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f3314,f987,f974]) ).
fof(f3459,plain,
( ~ sQ87_spl
| e23 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f3284,f2276]) ).
fof(f3460,plain,
( ~ sQ87_spl
| e23 != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f3284,f2277]) ).
fof(f3462,plain,
( ~ sQ87_spl
| e23 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f3284,f2279]) ).
fof(f3466,plain,
( ~ sQ87_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f3459,f1052,f1026]) ).
fof(f3467,plain,
( ~ sQ87_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f3460,f1039,f1026]) ).
fof(f3468,plain,
( ~ sQ87_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3462,f1078,f1026]) ).
fof(f3470,plain,
( ~ sQ148_spl
| ~ sQ115_spl
| op2(e23,e23) = op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f1118,f1263]) ).
fof(f3471,plain,
( ~ sQ148_spl
| ~ sQ115_spl
| e21 = op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f268,f3470]) ).
fof(f3472,plain,
( ~ sQ148_spl
| ~ sQ115_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1118,f3471]) ).
fof(f3473,plain,
( ~ sQ148_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3472,f222]) ).
fof(f3474,plain,
( ~ sQ148_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f3473]) ).
fof(f3475,plain,
op2(e22,e22) != e20,
inference(forward_demodulation,[status(thm)],[f2934,f181]) ).
fof(f3477,plain,
( ~ sQ110_spl
| op2(e22,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f1102,f205]) ).
fof(f3478,plain,
( ~ sQ110_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f3477,f1088,f1101]) ).
fof(f3479,plain,
( sQ152_spl
| ~ sQ110_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1102,f3019]) ).
fof(f3480,plain,
( sQ152_spl
| ~ sQ110_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3479]) ).
fof(f3481,plain,
( sQ152_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f3480]) ).
fof(f3482,plain,
( ~ sQ159_spl
| ~ sQ152_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2710,f1088,f1275,f1298]) ).
fof(f3483,plain,
( ~ sQ265_spl
| e22 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1667,f2260]) ).
fof(f3484,plain,
( ~ sQ265_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1667,f2259]) ).
fof(f3487,plain,
( ~ sQ17_spl
| e11 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f768,f147]) ).
fof(f3489,plain,
( ~ sQ17_spl
| op1(e10,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f768,f116]) ).
fof(f3491,plain,
( ~ sQ129_spl
| ~ sQ17_spl
| op1(op1(e11,e10),e11) = e11 ),
inference(backward_demodulation,[status(thm)],[f768,f1196]) ).
fof(f3493,plain,
( ~ sQ17_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3487,f793,f767]) ).
fof(f3494,plain,
( ~ sQ17_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3489,f715,f767]) ).
fof(f3495,plain,
( ~ sQ129_spl
| ~ sQ17_spl
| op1(e11,e11) = e11 ),
inference(forward_demodulation,[status(thm)],[f768,f3491]) ).
fof(f3501,plain,
( sQ237_spl
| h4(op1(e11,e12)) != op2(h4(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f2330,f1553]) ).
fof(f3503,plain,
( sQ235_spl
| ~ sQ120_spl
| h4(op1(e11,e10)) != op2(h4(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f3180,f1547]) ).
fof(f3509,plain,
( ~ sQ296_spl
| ~ sQ120_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f3180,f1799]) ).
fof(f3510,plain,
( ~ sQ296_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3509,f218]) ).
fof(f3511,plain,
( ~ sQ296_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f3510]) ).
fof(f3512,plain,
( ~ sQ265_spl
| e22 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1667,f2256]) ).
fof(f3521,plain,
( ~ sQ265_spl
| e22 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1667,f272]) ).
fof(f3523,plain,
( ~ sQ265_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1667,f2255]) ).
fof(f3527,plain,
( sQ222_spl
| h3(e10) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2906,f2185]) ).
fof(f3528,plain,
( sQ297_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2323,f1804]) ).
fof(f3529,plain,
sQ297_spl,
inference(contradiction_clause,[status(thm)],[f3528]) ).
fof(f3533,plain,
( ~ sQ237_spl
| h4(op1(e11,e12)) = op2(h4(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f2330,f1552]) ).
fof(f3537,plain,
( sQ223_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f2215]) ).
fof(f3538,plain,
sQ223_spl,
inference(contradiction_clause,[status(thm)],[f3537]) ).
fof(f3539,plain,
( ~ sQ223_spl
| h3(e11) = op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f265,f1506]) ).
fof(f3540,plain,
( ~ sQ223_spl
| h3(e11) = op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f278,f3539]) ).
fof(f3541,plain,
( ~ sQ223_spl
| h3(e11) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f278,f3540]) ).
fof(f3557,plain,
( ~ sQ98_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1063,f3484]) ).
fof(f3558,plain,
( ~ sQ98_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f3557]) ).
fof(f3561,plain,
( sQ238_spl
| ~ sQ253_spl
| ~ sQ246_spl
| h4(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2471,f2634]) ).
fof(f3562,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1083,f3475]) ).
fof(f3563,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f3562]) ).
fof(f3565,plain,
( ~ sQ83_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1014,f3195]) ).
fof(f3566,plain,
( ~ sQ83_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f3565]) ).
fof(f3569,plain,
( ~ sQ150_spl
| ~ sQ269_spl
| op2(h2(e11),e21) = e20 ),
inference(backward_demodulation,[status(thm)],[f3207,f3065]) ).
fof(f3573,plain,
( ~ sQ150_spl
| ~ sQ269_spl
| op2(e20,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f3207,f3569]) ).
fof(f3576,plain,
( ~ sQ205_spl
| ~ sQ269_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f3207,f1449]) ).
fof(f3577,plain,
( ~ sQ205_spl
| ~ sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3576,f220]) ).
fof(f3578,plain,
( ~ sQ205_spl
| ~ sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f3577]) ).
fof(f3582,plain,
( sQ217_spl
| ~ sQ228_spl
| h3(op1(e12,e11)) != op2(h3(e12),e23) ),
inference(backward_demodulation,[status(thm)],[f1522,f1489]) ).
fof(f3587,plain,
( sQ221_spl
| ~ sQ228_spl
| h3(e12) != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f1522,f2891]) ).
fof(f3592,plain,
( sQ239_spl
| ~ sQ302_spl
| ~ sQ120_spl
| h4(op1(e12,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f3180,f2149]) ).
fof(f3608,plain,
( sQ245_spl
| ~ sQ302_spl
| ~ sQ56_spl
| ~ sQ253_spl
| ~ sQ120_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2934,f3397]) ).
fof(f3609,plain,
( sQ245_spl
| ~ sQ302_spl
| ~ sQ56_spl
| ~ sQ253_spl
| ~ sQ120_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3608]) ).
fof(f3610,plain,
( sQ245_spl
| ~ sQ302_spl
| ~ sQ56_spl
| ~ sQ253_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f3609]) ).
fof(f3611,plain,
h4(e10) = e20,
inference(forward_demodulation,[status(thm)],[f2934,f2345]) ).
fof(f3616,plain,
( ~ sQ124_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f268,f1148]) ).
fof(f3617,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3616,f218]) ).
fof(f3618,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f3617]) ).
fof(f3619,plain,
( ~ sQ82_spl
| ~ sQ81_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1008,f1011]) ).
fof(f3620,plain,
( ~ sQ82_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3619,f221]) ).
fof(f3621,plain,
( ~ sQ82_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f3620]) ).
fof(f3622,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1008,f1005]) ).
fof(f3623,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3622,f218]) ).
fof(f3624,plain,
( ~ sQ80_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f3623]) ).
fof(f3626,plain,
( sQ235_spl
| ~ sQ120_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2471,f3503]) ).
fof(f3627,plain,
( ~ sQ237_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e11,e12)) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2471,f3533]) ).
fof(f3630,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f995,f2243]) ).
fof(f3631,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f3630]) ).
fof(f3634,plain,
( sQ222_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3332,f3527]) ).
fof(f3635,plain,
sQ222_spl,
inference(contradiction_clause,[status(thm)],[f3634]) ).
fof(f3636,plain,
( ~ sQ222_spl
| h3(e10) = op2(h3(e13),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2906,f1503]) ).
fof(f3637,plain,
( ~ sQ222_spl
| h3(e10) = op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f278,f3636]) ).
fof(f3638,plain,
op1(e12,e12) != e10,
inference(forward_demodulation,[status(thm)],[f2906,f133]) ).
fof(f3644,plain,
( sQ242_spl
| ~ sQ302_spl
| ~ sQ253_spl
| ~ sQ44_spl
| h4(e10) != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f856,f2694]) ).
fof(f3646,plain,
( ~ sQ142_spl
| ~ sQ44_spl
| op1(op1(e12,e13),e12) = e10 ),
inference(backward_demodulation,[status(thm)],[f856,f1238]) ).
fof(f3648,plain,
( sQ242_spl
| ~ sQ302_spl
| ~ sQ253_spl
| ~ sQ44_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3611,f3644]) ).
fof(f3649,plain,
( ~ sQ142_spl
| ~ sQ44_spl
| op1(e10,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f856,f3646]) ).
fof(f3651,plain,
( ~ sQ41_spl
| op1(e10,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f846,f129]) ).
fof(f3653,plain,
( ~ sQ41_spl
| op1(e12,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f846,f155]) ).
fof(f3657,plain,
( ~ sQ41_spl
| op1(e11,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f846,f131]) ).
fof(f3658,plain,
( ~ sQ41_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3653,f832,f845]) ).
fof(f3660,plain,
( ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3657,f793,f845]) ).
fof(f3662,plain,
( ~ sQ86_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3278,f3063]) ).
fof(f3663,plain,
( ~ sQ86_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3662]) ).
fof(f3664,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f3663]) ).
fof(f3665,plain,
( ~ sQ105_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f3003,f1059,f1085]) ).
fof(f3667,plain,
( sQ197_spl
| ~ sQ51_spl
| h2(e13) != op2(e21,h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f878,f2365]) ).
fof(f3668,plain,
( sQ220_spl
| ~ sQ51_spl
| h3(e13) != op2(e22,h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f878,f2205]) ).
fof(f3670,plain,
( ~ sQ131_spl
| ~ sQ51_spl
| op1(op1(e13,e10),e13) = e13 ),
inference(backward_demodulation,[status(thm)],[f878,f1202]) ).
fof(f3671,plain,
( sQ197_spl
| ~ sQ51_spl
| e21 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f274,f3667]) ).
fof(f3672,plain,
( sQ220_spl
| ~ sQ51_spl
| e22 != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f278,f3668]) ).
fof(f3673,plain,
( ~ sQ131_spl
| ~ sQ51_spl
| op1(e13,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f878,f3670]) ).
fof(f3674,plain,
( ~ sQ131_spl
| ~ sQ51_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f265,f3673]) ).
fof(f3675,plain,
( ~ sQ131_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3674,f216]) ).
fof(f3676,plain,
( ~ sQ131_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3675]) ).
fof(f3683,plain,
( ~ sQ51_spl
| op1(e12,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f878,f121]) ).
fof(f3685,plain,
( ~ sQ51_spl
| op1(e10,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f878,f118]) ).
fof(f3686,plain,
( ~ sQ51_spl
| op1(e11,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f878,f120]) ).
fof(f3695,plain,
( ~ sQ139_spl
| ~ sQ56_spl
| op1(e10,e12) != e10 ),
inference(backward_demodulation,[status(thm)],[f2772,f145]) ).
fof(f3697,plain,
( ~ sQ140_spl
| ~ sQ139_spl
| ~ sQ56_spl
| op1(op1(e10,e13),e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f2772,f1232]) ).
fof(f3699,plain,
( ~ sQ139_spl
| ~ sQ56_spl
| op1(e10,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f2772,f142]) ).
fof(f3700,plain,
( ~ sQ139_spl
| ~ sQ56_spl
| e10 != op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f2772,f134]) ).
fof(f3701,plain,
( ~ sQ139_spl
| ~ sQ56_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3695,f738,f894,f1227]) ).
fof(f3702,plain,
( ~ sQ140_spl
| ~ sQ139_spl
| ~ sQ56_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f2772,f3697]) ).
fof(f3703,plain,
( ~ sQ140_spl
| ~ sQ139_spl
| ~ sQ56_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3702,f714]) ).
fof(f3704,plain,
( ~ sQ140_spl
| ~ sQ139_spl
| ~ sQ56_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f3703]) ).
fof(f3705,plain,
( ~ sQ150_spl
| ~ sQ269_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f3573,f965,f1683,f1269]) ).
fof(f3708,plain,
( sQ139_spl
| op1(e10,e13) != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f2906,f1229]) ).
fof(f3709,plain,
( sQ139_spl
| op1(e10,e13) != e10 ),
inference(forward_demodulation,[status(thm)],[f2906,f3708]) ).
fof(f3716,plain,
( ~ sQ3_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f722,f3685]) ).
fof(f3717,plain,
( ~ sQ3_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3716]) ).
fof(f3723,plain,
( sQ237_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2471,f3501]) ).
fof(f3725,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2656,f851,f838]) ).
fof(f3726,plain,
( sQ242_spl
| ~ sQ302_spl
| ~ sQ253_spl
| ~ sQ44_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f3648,f1095,f855,f1602,f1823,f1566]) ).
fof(f3727,plain,
( ~ sQ142_spl
| ~ sQ44_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f3649,f738,f855,f1237]) ).
fof(f3728,plain,
( ~ sQ19_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f774,f3686]) ).
fof(f3729,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3728]) ).
fof(f3730,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f784,f2226]) ).
fof(f3731,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f3730]) ).
fof(f3734,plain,
( ~ sQ21_spl
| op1(e11,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f781,f146]) ).
fof(f3741,plain,
( ~ sQ128_spl
| ~ sQ1_spl
| op1(op1(e10,e10),e10) = e11 ),
inference(backward_demodulation,[status(thm)],[f716,f1193]) ).
fof(f3745,plain,
( ~ sQ128_spl
| ~ sQ1_spl
| op1(e11,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f716,f3741]) ).
fof(f3755,plain,
( ~ sQ47_spl
| op1(e12,e11) != e13 ),
inference(forward_demodulation,[status(thm)],[f865,f156]) ).
fof(f3756,plain,
( ~ sQ47_spl
| op1(e10,e13) != e13 ),
inference(forward_demodulation,[status(thm)],[f865,f135]) ).
fof(f3763,plain,
( ~ sQ32_spl
| e10 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f817,f154]) ).
fof(f3778,plain,
( ~ sQ265_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f3512,f984,f1666]) ).
fof(f3781,plain,
( sQ162_spl
| ~ sQ1_spl
| h1(e11) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f716,f1316]) ).
fof(f3782,plain,
( sQ174_spl
| ~ sQ51_spl
| h1(e13) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f878,f2428]) ).
fof(f3783,plain,
( sQ174_spl
| ~ sQ51_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f270,f3782]) ).
fof(f3797,plain,
( ~ sQ141_spl
| ~ sQ28_spl
| op1(e10,e11) = op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f804,f1235]) ).
fof(f3801,plain,
( ~ sQ141_spl
| ~ sQ28_spl
| e10 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f3803,f123]) ).
fof(f3803,plain,
( ~ sQ141_spl
| ~ sQ28_spl
| op1(e10,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f804,f3797]) ).
fof(f3815,plain,
( sQ240_spl
| ~ sQ302_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2471,f2150]) ).
fof(f3828,plain,
( ~ sQ32_spl
| op1(e11,e10) != e10 ),
inference(forward_demodulation,[status(thm)],[f817,f119]) ).
fof(f3833,plain,
( ~ sQ108_spl
| op2(e22,e20) != e20 ),
inference(backward_demodulation,[status(thm)],[f1096,f202]) ).
fof(f3834,plain,
( ~ sQ108_spl
| op2(e21,e23) != e20 ),
inference(backward_demodulation,[status(thm)],[f1096,f185]) ).
fof(f3835,plain,
( ~ sQ108_spl
| op2(e20,e23) != e20 ),
inference(backward_demodulation,[status(thm)],[f1096,f183]) ).
fof(f3836,plain,
( ~ sQ108_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f3835,f991,f1095]) ).
fof(f3842,plain,
( ~ sQ228_spl
| op2(e21,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f3844,f179]) ).
fof(f3843,plain,
( ~ sQ228_spl
| h3(e12) = op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f3844,f281]) ).
fof(f3844,plain,
( ~ sQ228_spl
| e23 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1522,f280]) ).
fof(f3845,plain,
( ~ sQ228_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f3842,f1039,f1521]) ).
fof(f3846,plain,
( ~ sQ228_spl
| ~ sQ111_spl
| h3(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f1105,f3843]) ).
fof(f3847,plain,
( ~ sQ228_spl
| ~ sQ111_spl
| sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3846,f1527]) ).
fof(f3848,plain,
( ~ sQ228_spl
| ~ sQ111_spl
| sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f3847]) ).
fof(f3859,plain,
( ~ sQ88_spl
| ~ sQ292_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1031,f2307]) ).
fof(f3860,plain,
( ~ sQ88_spl
| ~ sQ292_spl ),
inference(contradiction_clause,[status(thm)],[f3859]) ).
fof(f3865,plain,
( ~ sQ108_spl
| ~ sQ111_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1105,f1096]) ).
fof(f3866,plain,
( ~ sQ108_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3865,f220]) ).
fof(f3867,plain,
( ~ sQ108_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3866]) ).
fof(f3868,plain,
( ~ sQ159_spl
| ~ sQ111_spl
| op2(e23,e22) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1105,f1299]) ).
fof(f3869,plain,
( ~ sQ159_spl
| ~ sQ111_spl
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2934,f3868]) ).
fof(f3870,plain,
( ~ sQ159_spl
| ~ sQ111_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1105,f3869]) ).
fof(f3871,plain,
( ~ sQ159_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3870,f220]) ).
fof(f3872,plain,
( ~ sQ159_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3871]) ).
fof(f3880,plain,
( ~ sQ130_spl
| ~ sQ32_spl
| op1(e10,e12) = op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f817,f1199]) ).
fof(f3881,plain,
( ~ sQ130_spl
| ~ sQ32_spl
| op1(e10,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f817,f3880]) ).
fof(f3882,plain,
( ~ sQ130_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3881,f3420]) ).
fof(f3883,plain,
( ~ sQ130_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3882]) ).
fof(f3898,plain,
( ~ sQ32_spl
| e10 != op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f817,f152]) ).
fof(f3910,plain,
( ~ sQ205_spl
| e23 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f1449,f276]) ).
fof(f3934,plain,
( sQ167_spl
| ~ sQ21_spl
| h1(e11) != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f781,f1331]) ).
fof(f3939,plain,
( ~ sQ11_spl
| e13 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f748,f128]) ).
fof(f3941,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3939,f799,f747]) ).
fof(f3942,plain,
( ~ sQ105_spl
| ~ sQ223_spl
| h3(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f3541,f1086]) ).
fof(f3943,plain,
( ~ sQ105_spl
| ~ sQ223_spl
| sQ285_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3942,f1753]) ).
fof(f3944,plain,
( ~ sQ105_spl
| ~ sQ223_spl
| sQ285_spl ),
inference(contradiction_clause,[status(thm)],[f3943]) ).
fof(f3945,plain,
( ~ sQ64_spl
| h1(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f272,f953]) ).
fof(f3946,plain,
( sQ241_spl
| ~ sQ223_spl
| h4(op1(e12,e12)) != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f3541,f2702]) ).
fof(f3948,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f791,f3418]) ).
fof(f3949,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f3948]) ).
fof(f3961,plain,
( ~ sQ152_spl
| ~ sQ111_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1105,f2709]) ).
fof(f3962,plain,
( ~ sQ152_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3961,f223]) ).
fof(f3963,plain,
( ~ sQ152_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3962]) ).
fof(f3972,plain,
( sQ155_spl
| ~ sQ223_spl
| op2(h3(e11),e22) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3541,f1287]) ).
fof(f3973,plain,
( sQ155_spl
| ~ sQ223_spl
| op2(h3(e11),e22) != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f3541,f3972]) ).
fof(f3975,plain,
( ~ sQ39_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f839,f3755]) ).
fof(f3976,plain,
( ~ sQ39_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3975]) ).
fof(f3977,plain,
( ~ sQ128_spl
| ~ sQ1_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f3745,f767,f715,f1192]) ).
fof(f3983,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f804,f813]) ).
fof(f3984,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3983,f214]) ).
fof(f3985,plain,
( ~ sQ31_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f3984]) ).
fof(f3989,plain,
( sQ135_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2930,f861,f1214]) ).
fof(f3991,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3339,f861,f848]) ).
fof(f3993,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f830,f3898]) ).
fof(f3994,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3993]) ).
fof(f3995,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f755,f2221]) ).
fof(f3996,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f3995]) ).
fof(f3997,plain,
( ~ sQ106_spl
| ~ sQ223_spl
| h3(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f3541,f1089]) ).
fof(f3998,plain,
( ~ sQ106_spl
| ~ sQ223_spl
| sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3997,f1770]) ).
fof(f3999,plain,
( ~ sQ106_spl
| ~ sQ223_spl
| sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f3998]) ).
fof(f4007,plain,
( ~ sQ41_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f3651,f741,f845]) ).
fof(f4011,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f3734,f767,f780]) ).
fof(f4013,plain,
( ~ sQ155_spl
| ~ sQ223_spl
| op2(h3(e11),e22) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3541,f1286]) ).
fof(f4014,plain,
( ~ sQ155_spl
| ~ sQ223_spl
| op2(h3(e11),e22) = h3(e11) ),
inference(forward_demodulation,[status(thm)],[f3541,f4013]) ).
fof(f4015,plain,
( sQ145_spl
| op2(h1(e11),e20) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f272,f1255]) ).
fof(f4016,plain,
( sQ145_spl
| op2(h1(e11),e20) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f272,f4015]) ).
fof(f4021,plain,
( ~ sQ76_spl
| sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f992,f3447]) ).
fof(f4022,plain,
( ~ sQ76_spl
| sQ156_spl ),
inference(contradiction_clause,[status(thm)],[f4021]) ).
fof(f4031,plain,
( sQ234_spl
| ~ sQ253_spl
| h4(op1(e10,e13)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3611,f2804]) ).
fof(f4034,plain,
( sQ232_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f3611,f2791]) ).
fof(f4039,plain,
( sQ243_spl
| ~ sQ253_spl
| ~ sQ51_spl
| h4(e13) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f878,f2903]) ).
fof(f4040,plain,
( sQ243_spl
| ~ sQ253_spl
| ~ sQ51_spl
| e23 != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1603,f4039]) ).
fof(f4041,plain,
( sQ243_spl
| ~ sQ253_spl
| ~ sQ51_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f3611,f4040]) ).
fof(f4042,plain,
( sQ243_spl
| ~ sQ253_spl
| ~ sQ51_spl
| ~ sQ115_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1118,f4041]) ).
fof(f4043,plain,
( sQ243_spl
| ~ sQ253_spl
| ~ sQ51_spl
| ~ sQ115_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4042]) ).
fof(f4044,plain,
( sQ243_spl
| ~ sQ253_spl
| ~ sQ51_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f4043]) ).
fof(f4049,plain,
( sQ231_spl
| h4(op1(e10,e10)) != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3611,f1535]) ).
fof(f4050,plain,
( sQ231_spl
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3611,f4049]) ).
fof(f4051,plain,
( sQ231_spl
| h4(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f272,f4050]) ).
fof(f4057,plain,
( ~ sQ150_spl
| ~ sQ205_spl
| op2(h2(e11),e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f1449,f3065]) ).
fof(f4058,plain,
( ~ sQ205_spl
| h2(e12) = op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f1449,f3077]) ).
fof(f4060,plain,
( ~ sQ150_spl
| ~ sQ205_spl
| op2(e23,e21) = e23 ),
inference(forward_demodulation,[status(thm)],[f1449,f4057]) ).
fof(f4061,plain,
( ~ sQ150_spl
| ~ sQ205_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f2249,f4060]) ).
fof(f4062,plain,
( ~ sQ150_spl
| ~ sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4061,f223]) ).
fof(f4063,plain,
( ~ sQ150_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f4062]) ).
fof(f4069,plain,
( sQ168_spl
| ~ sQ64_spl
| h1(op1(e11,e12)) != op2(e20,h1(e12)) ),
inference(backward_demodulation,[status(thm)],[f3945,f1334]) ).
fof(f4072,plain,
( ~ sQ64_spl
| e20 != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f3945,f2260]) ).
fof(f4074,plain,
( ~ sQ64_spl
| e20 != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f3945,f2257]) ).
fof(f4077,plain,
( ~ sQ64_spl
| h1(e12) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f3945,f2261]) ).
fof(f4079,plain,
( ~ sQ64_spl
| e20 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f3945,f2255]) ).
fof(f4083,plain,
( ~ sQ64_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f4072,f1004,f952]) ).
fof(f4084,plain,
( ~ sQ64_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f4074,f965,f952]) ).
fof(f4085,plain,
( ~ sQ64_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f4079,f991,f952]) ).
fof(f4096,plain,
( sQ213_spl
| ~ sQ106_spl
| ~ sQ223_spl
| h3(op1(e11,e11)) != op2(h3(e11),e22) ),
inference(backward_demodulation,[status(thm)],[f3997,f1477]) ).
fof(f4103,plain,
( sQ213_spl
| ~ sQ106_spl
| ~ sQ223_spl
| h3(op1(e11,e11)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3997,f4096]) ).
fof(f4114,plain,
( ~ sQ229_spl
| h3(e10) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1526,f3332]) ).
fof(f4115,plain,
( ~ sQ229_spl
| ~ sQ111_spl
| h3(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f1105,f4114]) ).
fof(f4116,plain,
( ~ sQ229_spl
| ~ sQ111_spl
| sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4115,f1519]) ).
fof(f4117,plain,
( ~ sQ229_spl
| ~ sQ111_spl
| sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f4116]) ).
fof(f4128,plain,
( sQ232_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ4_spl
| h4(e10) != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f726,f4034]) ).
fof(f4129,plain,
( sQ232_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ4_spl
| e20 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f3611,f4128]) ).
fof(f4131,plain,
( ~ sQ68_spl
| e20 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f966,f192]) ).
fof(f4133,plain,
( ~ sQ149_spl
| ~ sQ68_spl
| op2(op2(e20,e21),e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f966,f1267]) ).
fof(f4134,plain,
( ~ sQ68_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f4131,f991,f965]) ).
fof(f4135,plain,
( ~ sQ149_spl
| ~ sQ68_spl
| op2(e20,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f966,f4133]) ).
fof(f4147,plain,
( ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1076,f2246]) ).
fof(f4148,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f4147]) ).
fof(f4153,plain,
( sQ220_spl
| ~ sQ51_spl
| ~ sQ227_spl
| e22 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1518,f3672]) ).
fof(f4163,plain,
( ~ sQ129_spl
| ~ sQ18_spl
| op1(op1(e11,e10),e11) = e12 ),
inference(backward_demodulation,[status(thm)],[f771,f1196]) ).
fof(f4164,plain,
( ~ sQ18_spl
| e12 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f771,f147]) ).
fof(f4168,plain,
( ~ sQ129_spl
| ~ sQ18_spl
| op1(e12,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f771,f4163]) ).
fof(f4169,plain,
( ~ sQ129_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4168,f2225]) ).
fof(f4170,plain,
( ~ sQ129_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f4169]) ).
fof(f4172,plain,
( sQ213_spl
| ~ sQ285_spl
| ~ sQ85_spl
| h3(op1(e11,e11)) != e21 ),
inference(forward_demodulation,[status(thm)],[f1021,f2582]) ).
fof(f4173,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3828,f764,f816]) ).
fof(f4175,plain,
( sQ209_spl
| ~ sQ4_spl
| h3(e10) != op2(h3(e10),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f726,f1465]) ).
fof(f4178,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f4164,f796,f770]) ).
fof(f4185,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f726,f729]) ).
fof(f4186,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4185,f212]) ).
fof(f4187,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f4186]) ).
fof(f4197,plain,
( ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3137,f725,f738]) ).
fof(f4201,plain,
( ~ sQ239_spl
| h4(op1(e12,e10)) = op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2330,f1558]) ).
fof(f4202,plain,
( ~ sQ239_spl
| h4(op1(e12,e10)) = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f3611,f4201]) ).
fof(f4208,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f3638]) ).
fof(f4209,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f4208]) ).
fof(f4210,plain,
( ~ sQ242_spl
| h4(op1(e12,e13)) = op2(e22,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2330,f1567]) ).
fof(f4211,plain,
( ~ sQ242_spl
| ~ sQ253_spl
| h4(op1(e12,e13)) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f4210]) ).
fof(f4229,plain,
( ~ sQ105_spl
| ~ sQ223_spl
| h3(e12) = op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f4236,f281]) ).
fof(f4233,plain,
( ~ sQ105_spl
| ~ sQ223_spl
| op2(e20,e22) != e21 ),
inference(backward_demodulation,[status(thm)],[f4236,f177]) ).
fof(f4236,plain,
( ~ sQ105_spl
| ~ sQ223_spl
| e21 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3942,f280]) ).
fof(f4237,plain,
( ~ sQ105_spl
| ~ sQ223_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f4233,f981,f1505,f1085]) ).
fof(f4239,plain,
( ~ sQ205_spl
| ~ sQ85_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1021,f3910]) ).
fof(f4240,plain,
( ~ sQ205_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4239,f222]) ).
fof(f4241,plain,
( ~ sQ205_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f4240]) ).
fof(f4242,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1099,f2241]) ).
fof(f4243,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f4242]) ).
fof(f4256,plain,
( ~ sQ4_spl
| e10 != op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f726,f123]) ).
fof(f4259,plain,
( sQ194_spl
| ~ sQ39_spl
| h2(e13) != op2(h2(e12),h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f839,f1416]) ).
fof(f4261,plain,
( sQ240_spl
| ~ sQ302_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ39_spl
| h4(e13) != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f839,f3815]) ).
fof(f4262,plain,
( ~ sQ134_spl
| ~ sQ39_spl
| op1(op1(e12,e11),e12) = e13 ),
inference(backward_demodulation,[status(thm)],[f839,f1212]) ).
fof(f4264,plain,
( sQ194_spl
| ~ sQ39_spl
| e21 != op2(h2(e12),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f4259]) ).
fof(f4265,plain,
( sQ240_spl
| ~ sQ302_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ39_spl
| e23 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1603,f4261]) ).
fof(f4266,plain,
( ~ sQ134_spl
| ~ sQ39_spl
| op1(e13,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f839,f4262]) ).
fof(f4267,plain,
( ~ sQ134_spl
| ~ sQ39_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f2906,f4266]) ).
fof(f4268,plain,
( ~ sQ134_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4267,f214]) ).
fof(f4269,plain,
( ~ sQ134_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f4268]) ).
fof(f4272,plain,
( ~ sQ132_spl
| ~ sQ4_spl
| op1(e10,e10) = op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f726,f1206]) ).
fof(f4273,plain,
( ~ sQ132_spl
| ~ sQ4_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f726,f4272]) ).
fof(f4274,plain,
( ~ sQ132_spl
| ~ sQ4_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4273,f714]) ).
fof(f4275,plain,
( ~ sQ132_spl
| ~ sQ4_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f4274]) ).
fof(f4294,plain,
( sQ241_spl
| ~ sQ223_spl
| ~ sQ105_spl
| h4(op1(e12,e12)) != e21 ),
inference(forward_demodulation,[status(thm)],[f3942,f3946]) ).
fof(f4308,plain,
( sQ150_spl
| op2(h2(e11),e21) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f276,f1271]) ).
fof(f4309,plain,
( sQ150_spl
| op2(h2(e11),e21) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f276,f4308]) ).
fof(f4310,plain,
( sQ171_spl
| ~ sQ39_spl
| h1(e13) != op2(h1(e12),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f839,f1343]) ).
fof(f4311,plain,
( sQ171_spl
| ~ sQ39_spl
| e20 != op2(h1(e12),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f270,f4310]) ).
fof(f4329,plain,
( sQ236_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ21_spl
| h4(e11) != h2(e11) ),
inference(backward_demodulation,[status(thm)],[f781,f3331]) ).
fof(f4332,plain,
( sQ236_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ21_spl
| e21 != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f2471,f4329]) ).
fof(f4336,plain,
h2(e10) = op2(e21,h2(e12)),
inference(backward_demodulation,[status(thm)],[f3077,f2275]) ).
fof(f4337,plain,
( sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4336,f3421]) ).
fof(f4338,plain,
sQ199_spl,
inference(contradiction_clause,[status(thm)],[f4337]) ).
fof(f4341,plain,
( sQ190_spl
| ~ sQ21_spl
| h2(e11) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f781,f1404]) ).
fof(f4354,plain,
( ~ sQ11_spl
| e13 != op1(e10,e13) ),
inference(backward_demodulation,[status(thm)],[f748,f145]) ).
fof(f4355,plain,
( ~ sQ11_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f748,f129]) ).
fof(f4359,plain,
( sQ241_spl
| ~ sQ223_spl
| ~ sQ105_spl
| ~ sQ41_spl
| h4(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f846,f4294]) ).
fof(f4363,plain,
( sQ172_spl
| ~ sQ41_spl
| h1(e11) != op2(h1(e12),h1(e12)) ),
inference(backward_demodulation,[status(thm)],[f846,f1346]) ).
fof(f4365,plain,
( sQ195_spl
| ~ sQ41_spl
| h2(e11) != op2(h2(e12),h2(e12)) ),
inference(backward_demodulation,[status(thm)],[f846,f1419]) ).
fof(f4368,plain,
( sQ241_spl
| ~ sQ223_spl
| ~ sQ105_spl
| ~ sQ41_spl
| ~ sQ297_spl ),
inference(split_clause,[status(thm)],[f4359,f1802,f845,f1085,f1505,f1563]) ).
fof(f4374,plain,
( ~ sQ205_spl
| e23 = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f276,f3910]) ).
fof(f4385,plain,
( ~ sQ145_spl
| op2(h1(e11),e20) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f272,f1254]) ).
fof(f4386,plain,
( ~ sQ145_spl
| op2(h1(e11),e20) = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f272,f4385]) ).
fof(f4387,plain,
( ~ sQ67_spl
| h1(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f272,f962]) ).
fof(f4388,plain,
( ~ sQ67_spl
| sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4387,f1377]) ).
fof(f4389,plain,
( ~ sQ67_spl
| sQ182_spl ),
inference(contradiction_clause,[status(thm)],[f4388]) ).
fof(f4390,plain,
( sQ217_spl
| ~ sQ289_spl
| ~ sQ39_spl
| h3(e13) != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f839,f3169]) ).
fof(f4391,plain,
( sQ217_spl
| ~ sQ289_spl
| ~ sQ39_spl
| e22 != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f4390]) ).
fof(f4401,plain,
( ~ sQ96_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3320,f1069,f1056]) ).
fof(f4407,plain,
( sQ213_spl
| ~ sQ106_spl
| ~ sQ223_spl
| ~ sQ21_spl
| h3(e11) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f781,f4103]) ).
fof(f4412,plain,
( ~ sQ68_spl
| sQ232_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f966,f4129]) ).
fof(f4413,plain,
( ~ sQ68_spl
| sQ232_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f4412]) ).
fof(f4414,plain,
( ~ sQ149_spl
| ~ sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f4135,f952,f965,f1266]) ).
fof(f4415,plain,
( ~ sQ115_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f3028,f1375,f1117]) ).
fof(f4420,plain,
( ~ sQ265_spl
| e22 = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f272,f3521]) ).
fof(f4421,plain,
( ~ sQ265_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3523,f997,f1666]) ).
fof(f4422,plain,
( ~ sQ167_spl
| ~ sQ21_spl
| h1(e11) = op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f781,f1330]) ).
fof(f4423,plain,
( ~ sQ232_spl
| ~ sQ4_spl
| h4(e10) = op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f726,f1537]) ).
fof(f4424,plain,
( ~ sQ232_spl
| ~ sQ4_spl
| e20 = op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f3611,f4423]) ).
fof(f4425,plain,
( ~ sQ232_spl
| ~ sQ4_spl
| e20 = op2(e20,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f3611,f4424]) ).
fof(f4426,plain,
( ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2471,f4425]) ).
fof(f4429,plain,
h1(e10) = op2(e20,h1(e12)),
inference(forward_demodulation,[status(thm)],[f2261,f2254]) ).
fof(f4430,plain,
( sQ164_spl
| ~ sQ11_spl
| h1(e13) != op2(h1(e10),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f748,f1322]) ).
fof(f4431,plain,
( sQ164_spl
| ~ sQ11_spl
| e20 != op2(h1(e10),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f270,f4430]) ).
fof(f4432,plain,
( sQ177_spl
| h1(e11) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f272,f2408]) ).
fof(f4433,plain,
( sQ177_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4432]) ).
fof(f4434,plain,
sQ177_spl,
inference(contradiction_clause,[status(thm)],[f4433]) ).
fof(f4435,plain,
( sQ175_spl
| h1(e12) != h1(e12) ),
inference(forward_demodulation,[status(thm)],[f2261,f2413]) ).
fof(f4436,plain,
( sQ175_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4435]) ).
fof(f4437,plain,
sQ175_spl,
inference(contradiction_clause,[status(thm)],[f4436]) ).
fof(f4438,plain,
( sQ167_spl
| ~ sQ21_spl
| h1(e11) != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f781,f1331]) ).
fof(f4440,plain,
( ~ sQ65_spl
| h1(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f272,f956]) ).
fof(f4441,plain,
( ~ sQ65_spl
| sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4440,f1651]) ).
fof(f4442,plain,
( ~ sQ65_spl
| sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f4441]) ).
fof(f4459,plain,
( ~ sQ205_spl
| e23 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4374,f276]) ).
fof(f4480,plain,
( ~ sQ223_spl
| ~ sQ289_spl
| e22 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f1769,f3541]) ).
fof(f4485,plain,
( sQ214_spl
| ~ sQ289_spl
| h3(op1(e11,e12)) != op2(e22,h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f1769,f1480]) ).
fof(f4498,plain,
( sQ231_spl
| ~ sQ1_spl
| h4(e11) != h1(e11) ),
inference(backward_demodulation,[status(thm)],[f716,f4051]) ).
fof(f4504,plain,
( sQ231_spl
| ~ sQ1_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e21 != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f2471,f4498]) ).
fof(f4511,plain,
( sQ169_spl
| ~ sQ65_spl
| h1(op1(e11,e13)) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f4440,f2431]) ).
fof(f4513,plain,
( ~ sQ65_spl
| h1(e12) = op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f4440,f2261]) ).
fof(f4521,plain,
( sQ231_spl
| ~ sQ1_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ65_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4440,f4504]) ).
fof(f4522,plain,
( sQ231_spl
| ~ sQ1_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4521]) ).
fof(f4523,plain,
( sQ231_spl
| ~ sQ1_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f4522]) ).
fof(f4524,plain,
( ~ sQ231_spl
| ~ sQ1_spl
| h4(e11) = op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f716,f1534]) ).
fof(f4525,plain,
( ~ sQ231_spl
| ~ sQ1_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e21 = op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2471,f4524]) ).
fof(f4526,plain,
( ~ sQ231_spl
| ~ sQ1_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e21 = op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3611,f4525]) ).
fof(f4527,plain,
( ~ sQ231_spl
| ~ sQ1_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e21 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3611,f4526]) ).
fof(f4529,plain,
( sQ239_spl
| ~ sQ302_spl
| ~ sQ120_spl
| ~ sQ34_spl
| h4(e12) != op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f823,f3592]) ).
fof(f4536,plain,
( sQ239_spl
| ~ sQ302_spl
| ~ sQ120_spl
| ~ sQ34_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2330,f4529]) ).
fof(f4539,plain,
( sQ235_spl
| ~ sQ120_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ16_spl
| h4(e10) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f765,f3626]) ).
fof(f4544,plain,
( sQ235_spl
| ~ sQ120_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ16_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3611,f4539]) ).
fof(f4547,plain,
( ~ sQ31_spl
| e13 != op1(e12,e13) ),
inference(backward_demodulation,[status(thm)],[f813,f137]) ).
fof(f4548,plain,
( ~ sQ31_spl
| op1(e10,e13) != e13 ),
inference(backward_demodulation,[status(thm)],[f813,f134]) ).
fof(f4552,plain,
( sQ173_spl
| ~ sQ44_spl
| h1(e10) != op2(h1(e12),e20) ),
inference(backward_demodulation,[status(thm)],[f856,f2429]) ).
fof(f4553,plain,
( sQ196_spl
| ~ sQ44_spl
| h2(e10) != op2(h2(e12),e21) ),
inference(backward_demodulation,[status(thm)],[f856,f2435]) ).
fof(f4560,plain,
( ~ sQ130_spl
| ~ sQ34_spl
| op1(e12,e12) = op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f823,f1199]) ).
fof(f4561,plain,
( ~ sQ130_spl
| ~ sQ34_spl
| ~ sQ41_spl
| e11 = op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f846,f4560]) ).
fof(f4562,plain,
( ~ sQ130_spl
| ~ sQ34_spl
| ~ sQ41_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f823,f4561]) ).
fof(f4563,plain,
( ~ sQ130_spl
| ~ sQ34_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4562,f215]) ).
fof(f4564,plain,
( ~ sQ130_spl
| ~ sQ34_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f4563]) ).
fof(f4571,plain,
( sQ237_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ26_spl
| h4(e12) != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f797,f3723]) ).
fof(f4573,plain,
( sQ237_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ26_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2330,f4571]) ).
fof(f4593,plain,
( sQ216_spl
| ~ sQ34_spl
| h3(e12) != op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f823,f1486]) ).
fof(f4599,plain,
( ~ sQ111_spl
| op2(e22,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f1105,f204]) ).
fof(f4603,plain,
( ~ sQ137_spl
| ~ sQ26_spl
| op1(e12,e11) = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f797,f1222]) ).
fof(f4604,plain,
( ~ sQ137_spl
| ~ sQ26_spl
| ~ sQ39_spl
| e13 = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f839,f4603]) ).
fof(f4605,plain,
( ~ sQ137_spl
| ~ sQ26_spl
| ~ sQ39_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f797,f4604]) ).
fof(f4606,plain,
( ~ sQ137_spl
| ~ sQ26_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4605,f217]) ).
fof(f4607,plain,
( ~ sQ137_spl
| ~ sQ26_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f4606]) ).
fof(f4623,plain,
( ~ sQ289_spl
| op2(e22,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f4627,f201]) ).
fof(f4624,plain,
( ~ sQ289_spl
| op2(e21,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f4627,f179]) ).
fof(f4625,plain,
( ~ sQ289_spl
| h3(e12) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f4627,f281]) ).
fof(f4627,plain,
( ~ sQ289_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1769,f280]) ).
fof(f4628,plain,
( ~ sQ289_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f4623,f1062,f1768]) ).
fof(f4629,plain,
( ~ sQ289_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f4624,f1036,f1768]) ).
fof(f4630,plain,
( ~ sQ289_spl
| h3(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f4627,f4625]) ).
fof(f4631,plain,
( ~ sQ289_spl
| sQ290_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4630,f1774]) ).
fof(f4632,plain,
( ~ sQ289_spl
| sQ290_spl ),
inference(contradiction_clause,[status(thm)],[f4631]) ).
fof(f4635,plain,
( ~ sQ265_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f3483,f1010,f1666]) ).
fof(f4639,plain,
( sQ169_spl
| ~ sQ265_spl
| ~ sQ31_spl
| h1(e13) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f813,f3376]) ).
fof(f4640,plain,
( sQ169_spl
| ~ sQ265_spl
| ~ sQ31_spl
| e20 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f4639]) ).
fof(f4650,plain,
( sQ192_spl
| ~ sQ269_spl
| ~ sQ31_spl
| h2(e13) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f813,f2382]) ).
fof(f4651,plain,
( sQ192_spl
| ~ sQ269_spl
| ~ sQ31_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f274,f4650]) ).
fof(f4653,plain,
( sQ192_spl
| ~ sQ31_spl
| h2(e13) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f813,f2423]) ).
fof(f4654,plain,
( sQ192_spl
| ~ sQ31_spl
| e21 != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f4653]) ).
fof(f4655,plain,
( sQ189_spl
| ~ sQ16_spl
| h2(e10) != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f765,f1401]) ).
fof(f4656,plain,
( sQ191_spl
| ~ sQ26_spl
| h2(e12) != op2(h2(e11),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f797,f1407]) ).
fof(f4661,plain,
( ~ sQ284_spl
| ~ sQ227_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1518,f1748]) ).
fof(f4662,plain,
( ~ sQ284_spl
| ~ sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4661,f222]) ).
fof(f4663,plain,
( ~ sQ284_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f4662]) ).
fof(f4672,plain,
( sQ221_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1769,f2892]) ).
fof(f4673,plain,
( sQ221_spl
| ~ sQ290_spl
| ~ sQ289_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4627,f4672]) ).
fof(f4674,plain,
( sQ221_spl
| ~ sQ290_spl
| ~ sQ289_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4673]) ).
fof(f4675,plain,
( sQ221_spl
| ~ sQ290_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f4674]) ).
fof(f4676,plain,
( sQ219_spl
| ~ sQ290_spl
| ~ sQ44_spl
| h3(e10) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f856,f3212]) ).
fof(f4677,plain,
( sQ219_spl
| ~ sQ290_spl
| ~ sQ44_spl
| ~ sQ289_spl
| h3(e10) != e22 ),
inference(forward_demodulation,[status(thm)],[f4627,f4676]) ).
fof(f4678,plain,
( sQ218_spl
| ~ sQ290_spl
| ~ sQ41_spl
| h3(e11) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f846,f3217]) ).
fof(f4679,plain,
( sQ218_spl
| ~ sQ290_spl
| ~ sQ41_spl
| ~ sQ289_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1769,f4678]) ).
fof(f4680,plain,
( sQ218_spl
| ~ sQ290_spl
| ~ sQ41_spl
| ~ sQ289_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4627,f4679]) ).
fof(f4681,plain,
( sQ218_spl
| ~ sQ290_spl
| ~ sQ41_spl
| ~ sQ289_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4680]) ).
fof(f4682,plain,
( sQ218_spl
| ~ sQ290_spl
| ~ sQ41_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f4681]) ).
fof(f4683,plain,
( sQ170_spl
| ~ sQ34_spl
| h1(e12) != op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f823,f1340]) ).
fof(f4684,plain,
( ~ sQ103_spl
| sQ240_spl
| ~ sQ302_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1079,f4265]) ).
fof(f4685,plain,
( ~ sQ103_spl
| sQ240_spl
| ~ sQ302_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f4684]) ).
fof(f4686,plain,
( sQ169_spl
| ~ sQ31_spl
| h1(e13) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f813,f2431]) ).
fof(f4687,plain,
( sQ169_spl
| ~ sQ31_spl
| e20 != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f270,f4686]) ).
fof(f4688,plain,
( sQ168_spl
| ~ sQ26_spl
| h1(e12) != op2(h1(e11),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f797,f1334]) ).
fof(f4690,plain,
( ~ sQ242_spl
| ~ sQ253_spl
| ~ sQ44_spl
| h4(e10) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f856,f4211]) ).
fof(f4691,plain,
( ~ sQ242_spl
| ~ sQ253_spl
| ~ sQ44_spl
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3611,f4690]) ).
fof(f4692,plain,
( sQ209_spl
| ~ sQ4_spl
| ~ sQ289_spl
| h3(e10) != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f1769,f4175]) ).
fof(f4693,plain,
( sQ214_spl
| ~ sQ289_spl
| ~ sQ26_spl
| h3(e12) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f797,f4485]) ).
fof(f4696,plain,
( sQ212_spl
| ~ sQ289_spl
| ~ sQ16_spl
| h3(e10) != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f765,f3069]) ).
fof(f4697,plain,
( sQ208_spl
| ~ sQ1_spl
| h3(e11) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f716,f1462]) ).
fof(f4698,plain,
( sQ208_spl
| ~ sQ1_spl
| ~ sQ289_spl
| e22 != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1769,f4697]) ).
fof(f4700,plain,
( sQ210_spl
| ~ sQ11_spl
| h3(e13) != op2(h3(e10),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f748,f1468]) ).
fof(f4701,plain,
( sQ210_spl
| ~ sQ11_spl
| e22 != op2(h3(e10),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f278,f4700]) ).
fof(f4702,plain,
( ~ sQ108_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f3833,f1056,f1095]) ).
fof(f4703,plain,
( ~ sQ108_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f3834,f1043,f1095]) ).
fof(f4725,plain,
( sQ169_spl
| ~ sQ65_spl
| ~ sQ31_spl
| h1(e13) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f813,f4511]) ).
fof(f4726,plain,
( sQ169_spl
| ~ sQ65_spl
| ~ sQ31_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f4725]) ).
fof(f4728,plain,
( ~ sQ221_spl
| h3(e12) = op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2228,f1500]) ).
fof(f4729,plain,
( ~ sQ221_spl
| h3(e12) = op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f278,f4728]) ).
fof(f4730,plain,
( ~ sQ221_spl
| ~ sQ289_spl
| h3(e12) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1769,f4729]) ).
fof(f4731,plain,
( ~ sQ221_spl
| ~ sQ289_spl
| h3(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f4627,f4730]) ).
fof(f4734,plain,
( ~ sQ240_spl
| ~ sQ39_spl
| h4(e13) = op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f839,f1561]) ).
fof(f4735,plain,
( ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| e23 = op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1603,f4734]) ).
fof(f4736,plain,
( ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| e23 = op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2330,f4735]) ).
fof(f4737,plain,
( ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ246_spl
| e23 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2471,f4736]) ).
fof(f4756,plain,
( sQ211_spl
| ~ sQ14_spl
| h3(e12) != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f758,f2396]) ).
fof(f4757,plain,
( sQ215_spl
| ~ sQ31_spl
| h3(e13) != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f813,f2336]) ).
fof(f4758,plain,
( sQ215_spl
| ~ sQ31_spl
| e22 != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f4757]) ).
fof(f4759,plain,
( sQ215_spl
| ~ sQ31_spl
| ~ sQ289_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1769,f4758]) ).
fof(f4760,plain,
( sQ215_spl
| ~ sQ31_spl
| ~ sQ289_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4627,f4759]) ).
fof(f4761,plain,
( sQ215_spl
| ~ sQ31_spl
| ~ sQ289_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4760]) ).
fof(f4762,plain,
( sQ215_spl
| ~ sQ31_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f4761]) ).
fof(f4770,plain,
( ~ sQ75_spl
| e23 != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f988,f176]) ).
fof(f4772,plain,
( ~ sQ222_spl
| ~ sQ289_spl
| h3(e10) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f4630,f3637]) ).
fof(f4773,plain,
( sQ211_spl
| ~ sQ14_spl
| ~ sQ289_spl
| e22 != op2(h3(e10),e22) ),
inference(backward_demodulation,[status(thm)],[f4630,f4756]) ).
fof(f4777,plain,
( ~ sQ222_spl
| ~ sQ289_spl
| h3(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f4627,f4772]) ).
fof(f4778,plain,
( sQ234_spl
| ~ sQ253_spl
| ~ sQ14_spl
| h4(e12) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f758,f4031]) ).
fof(f4779,plain,
( sQ234_spl
| ~ sQ253_spl
| ~ sQ14_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2330,f4778]) ).
fof(f4781,plain,
( sQ217_spl
| ~ sQ289_spl
| ~ sQ39_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f4630,f4391]) ).
fof(f4782,plain,
( sQ217_spl
| ~ sQ289_spl
| ~ sQ39_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4627,f4781]) ).
fof(f4783,plain,
( sQ217_spl
| ~ sQ289_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4782]) ).
fof(f4784,plain,
( sQ217_spl
| ~ sQ289_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f4783]) ).
fof(f4791,plain,
( sQ213_spl
| ~ sQ106_spl
| ~ sQ223_spl
| ~ sQ21_spl
| ~ sQ289_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1769,f4407]) ).
fof(f4792,plain,
( sQ213_spl
| ~ sQ106_spl
| ~ sQ223_spl
| ~ sQ21_spl
| ~ sQ289_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4627,f4791]) ).
fof(f4793,plain,
( sQ213_spl
| ~ sQ106_spl
| ~ sQ223_spl
| ~ sQ21_spl
| ~ sQ289_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4792]) ).
fof(f4794,plain,
( sQ213_spl
| ~ sQ106_spl
| ~ sQ223_spl
| ~ sQ21_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f4793]) ).
fof(f4806,plain,
( sQ192_spl
| ~ sQ269_spl
| ~ sQ31_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f4651,f968,f812,f1683,f1408]) ).
fof(f4809,plain,
( sQ215_spl
| ~ sQ285_spl
| ~ sQ31_spl
| h3(e13) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f813,f2580]) ).
fof(f4810,plain,
( sQ215_spl
| ~ sQ285_spl
| ~ sQ31_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f278,f4809]) ).
fof(f4811,plain,
( sQ168_spl
| ~ sQ64_spl
| ~ sQ26_spl
| h1(e12) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f797,f4069]) ).
fof(f4815,plain,
( sQ213_spl
| ~ sQ285_spl
| ~ sQ85_spl
| ~ sQ21_spl
| h3(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f781,f4172]) ).
fof(f4819,plain,
( ~ sQ156_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f3444,f991,f1288]) ).
fof(f4823,plain,
( sQ238_spl
| ~ sQ253_spl
| ~ sQ246_spl
| ~ sQ31_spl
| h4(e13) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f813,f3561]) ).
fof(f4824,plain,
( sQ238_spl
| ~ sQ253_spl
| ~ sQ246_spl
| ~ sQ31_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f4823]) ).
fof(f4830,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ261_spl
| e21 != op2(h1(e12),h1(e12)) ),
inference(backward_demodulation,[status(thm)],[f1650,f4363]) ).
fof(f4831,plain,
( sQ166_spl
| ~ sQ16_spl
| h1(e10) != op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f765,f1328]) ).
fof(f4835,plain,
( sQ162_spl
| ~ sQ1_spl
| ~ sQ261_spl
| e21 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1650,f3781]) ).
fof(f4836,plain,
( sQ162_spl
| ~ sQ1_spl
| h1(e11) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f716,f1316]) ).
fof(f4838,plain,
( sQ165_spl
| ~ sQ14_spl
| h1(e12) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f758,f2438]) ).
fof(f4848,plain,
( sQ176_spl
| h1(e10) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f4429,f3419]) ).
fof(f4849,plain,
( sQ176_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4848]) ).
fof(f4850,plain,
sQ176_spl,
inference(contradiction_clause,[status(thm)],[f4849]) ).
fof(f4854,plain,
( ~ sQ64_spl
| ~ sQ261_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1650,f3945]) ).
fof(f4855,plain,
( ~ sQ64_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4854,f218]) ).
fof(f4856,plain,
( ~ sQ64_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f4855]) ).
fof(f4860,plain,
( sQ213_spl
| ~ sQ285_spl
| ~ sQ85_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3942,f4815]) ).
fof(f4861,plain,
( sQ213_spl
| ~ sQ285_spl
| ~ sQ85_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4860]) ).
fof(f4862,plain,
( sQ213_spl
| ~ sQ285_spl
| ~ sQ85_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f4861]) ).
fof(f4863,plain,
( ~ sQ213_spl
| ~ sQ21_spl
| h3(e11) = op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f781,f1476]) ).
fof(f4864,plain,
( ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 = op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f3942,f4863]) ).
fof(f4865,plain,
( ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 = op2(e21,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f3942,f4864]) ).
fof(f4866,plain,
( ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f3942,f4865]) ).
fof(f4878,plain,
( sQ190_spl
| ~ sQ21_spl
| ~ sQ269_spl
| e20 != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3207,f3125]) ).
fof(f4879,plain,
( sQ190_spl
| ~ sQ21_spl
| ~ sQ269_spl
| e20 != op2(e20,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3207,f4878]) ).
fof(f4880,plain,
( sQ190_spl
| ~ sQ21_spl
| ~ sQ269_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3207,f4879]) ).
fof(f4890,plain,
( ~ sQ269_spl
| h2(e12) = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3207,f3077]) ).
fof(f4903,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ64_spl
| e20 != op2(h1(e12),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3945,f2836]) ).
fof(f4904,plain,
( sQ169_spl
| ~ sQ31_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3945,f4687]) ).
fof(f4909,plain,
( sQ171_spl
| ~ sQ39_spl
| ~ sQ64_spl
| e20 != op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f3945,f4311]) ).
fof(f4910,plain,
( ~ sQ64_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3945,f272]) ).
fof(f4911,plain,
( ~ sQ64_spl
| sQ190_spl
| ~ sQ21_spl
| ~ sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4910,f4880]) ).
fof(f4912,plain,
( ~ sQ64_spl
| sQ190_spl
| ~ sQ21_spl
| ~ sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f4911]) ).
fof(f4913,plain,
( sQ169_spl
| ~ sQ31_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f4904,f952,f812,f1335]) ).
fof(f4922,plain,
( ~ sQ64_spl
| h1(e12) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3945,f2261]) ).
fof(f4925,plain,
( ~ sQ151_spl
| ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ246_spl
| op2(op2(e22,e21),e22) = e23 ),
inference(backward_demodulation,[status(thm)],[f4737,f1273]) ).
fof(f4928,plain,
( ~ sQ151_spl
| ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ246_spl
| op2(e23,e22) = e23 ),
inference(forward_demodulation,[status(thm)],[f4737,f4925]) ).
fof(f4929,plain,
( ~ sQ151_spl
| ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ246_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2934,f4928]) ).
fof(f4930,plain,
( ~ sQ151_spl
| ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4929,f220]) ).
fof(f4931,plain,
( ~ sQ151_spl
| ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f4930]) ).
fof(f4937,plain,
( ~ sQ91_spl
| e23 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f1040,f199]) ).
fof(f4939,plain,
( ~ sQ154_spl
| ~ sQ91_spl
| op2(op2(e21,e22),e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f1040,f1283]) ).
fof(f4940,plain,
( ~ sQ91_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f4937,f1052,f1039]) ).
fof(f4941,plain,
( ~ sQ154_spl
| ~ sQ91_spl
| op2(e23,e21) = e23 ),
inference(forward_demodulation,[status(thm)],[f1040,f4939]) ).
fof(f4942,plain,
( ~ sQ154_spl
| ~ sQ91_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f2249,f4941]) ).
fof(f4943,plain,
( ~ sQ154_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4942,f223]) ).
fof(f4944,plain,
( ~ sQ154_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f4943]) ).
fof(f4945,plain,
( sQ237_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ26_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f4573,f1036,f796,f1602,f1578,f1551]) ).
fof(f4947,plain,
( sQ217_spl
| ~ sQ228_spl
| ~ sQ39_spl
| h3(e13) != op2(h3(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f839,f3582]) ).
fof(f4948,plain,
( sQ217_spl
| ~ sQ228_spl
| ~ sQ39_spl
| e22 != op2(h3(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f278,f4947]) ).
fof(f4964,plain,
( ~ sQ145_spl
| ~ sQ64_spl
| op2(e20,e20) = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f3945,f4386]) ).
fof(f4965,plain,
( ~ sQ145_spl
| ~ sQ64_spl
| h1(e12) = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f4922,f4964]) ).
fof(f4966,plain,
( ~ sQ145_spl
| ~ sQ64_spl
| h1(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f3945,f4965]) ).
fof(f4967,plain,
( ~ sQ82_spl
| ~ sQ269_spl
| h2(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f4890,f1011]) ).
fof(f4968,plain,
( ~ sQ82_spl
| ~ sQ269_spl
| sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4967,f1723]) ).
fof(f4969,plain,
( ~ sQ82_spl
| ~ sQ269_spl
| sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f4968]) ).
fof(f4970,plain,
( ~ sQ78_spl
| sQ234_spl
| ~ sQ253_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f998,f4779]) ).
fof(f4971,plain,
( ~ sQ78_spl
| sQ234_spl
| ~ sQ253_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f4970]) ).
fof(f4972,plain,
( ~ sQ78_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f2563,f1101,f997]) ).
fof(f4976,plain,
( ~ sQ237_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ26_spl
| h4(e12) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f797,f3627]) ).
fof(f4977,plain,
( ~ sQ237_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ26_spl
| e22 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2330,f4976]) ).
fof(f4988,plain,
( ~ sQ234_spl
| ~ sQ14_spl
| h4(e12) = op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f758,f1543]) ).
fof(f4989,plain,
( ~ sQ234_spl
| ~ sQ14_spl
| e22 = op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2330,f4988]) ).
fof(f4990,plain,
( ~ sQ234_spl
| ~ sQ14_spl
| e22 = op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3611,f4989]) ).
fof(f4991,plain,
( ~ sQ234_spl
| ~ sQ14_spl
| ~ sQ253_spl
| e22 = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f4990]) ).
fof(f5003,plain,
( sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3945,f4438]) ).
fof(f5004,plain,
( sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3945,f5003]) ).
fof(f5005,plain,
( sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3945,f5004]) ).
fof(f5006,plain,
( sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != h1(e12) ),
inference(forward_demodulation,[status(thm)],[f4922,f5005]) ).
fof(f5027,plain,
( ~ sQ145_spl
| ~ sQ64_spl
| sQ167_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4966,f5006]) ).
fof(f5028,plain,
( ~ sQ145_spl
| ~ sQ64_spl
| sQ167_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f5027]) ).
fof(f5029,plain,
( ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 = op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3945,f4422]) ).
fof(f5030,plain,
( ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 = op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3945,f5029]) ).
fof(f5031,plain,
( ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3945,f5030]) ).
fof(f5032,plain,
( ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 = h1(e12) ),
inference(forward_demodulation,[status(thm)],[f4922,f5031]) ).
fof(f5034,plain,
( ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ246_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f4737,f203]) ).
fof(f5066,plain,
( ~ sQ228_spl
| e23 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1522,f280]) ).
fof(f5067,plain,
( ~ sQ228_spl
| ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5066,f5034]) ).
fof(f5068,plain,
( ~ sQ228_spl
| ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f5067]) ).
fof(f5090,plain,
( sQ171_spl
| ~ sQ39_spl
| ~ sQ64_spl
| ~ sQ145_spl
| e20 != op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f4966,f4909]) ).
fof(f5091,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ64_spl
| ~ sQ145_spl
| e20 != op2(h1(e12),e20) ),
inference(backward_demodulation,[status(thm)],[f4966,f4903]) ).
fof(f5100,plain,
( sQ171_spl
| ~ sQ39_spl
| ~ sQ145_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5090,f952,f1253,f838,f1341]) ).
fof(f5101,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ64_spl
| ~ sQ145_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4966,f5091]) ).
fof(f5114,plain,
( sQ168_spl
| ~ sQ64_spl
| ~ sQ26_spl
| ~ sQ145_spl
| e20 != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f4966,f4811]) ).
fof(f5115,plain,
( sQ168_spl
| ~ sQ64_spl
| ~ sQ26_spl
| ~ sQ145_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4966,f5114]) ).
fof(f5116,plain,
( ~ sQ64_spl
| ~ sQ145_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4966,f4077]) ).
fof(f5117,plain,
( ~ sQ64_spl
| ~ sQ145_spl
| sQ168_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5116,f5115]) ).
fof(f5118,plain,
( ~ sQ64_spl
| ~ sQ145_spl
| sQ168_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f5117]) ).
fof(f5128,plain,
( ~ sQ153_spl
| ~ sQ74_spl
| op2(op2(e20,e22),e20) = e22 ),
inference(backward_demodulation,[status(thm)],[f985,f1280]) ).
fof(f5134,plain,
( ~ sQ153_spl
| ~ sQ74_spl
| op2(e22,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f985,f5128]) ).
fof(f5135,plain,
( ~ sQ153_spl
| ~ sQ74_spl
| sQ239_spl
| ~ sQ302_spl
| ~ sQ120_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5134,f4536]) ).
fof(f5136,plain,
( ~ sQ153_spl
| ~ sQ74_spl
| sQ239_spl
| ~ sQ302_spl
| ~ sQ120_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f5135]) ).
fof(f5137,plain,
( ~ sQ222_spl
| ~ sQ289_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f4777,f1764,f1768,f1502]) ).
fof(f5138,plain,
( ~ sQ261_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f2959,f981,f1649]) ).
fof(f5141,plain,
( sQ169_spl
| ~ sQ265_spl
| ~ sQ31_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f4640,f1056,f812,f1666,f1335]) ).
fof(f5154,plain,
( sQ219_spl
| ~ sQ290_spl
| ~ sQ44_spl
| ~ sQ289_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f4677,f1764,f1768,f855,f1772,f1493]) ).
fof(f5207,plain,
( ~ sQ221_spl
| ~ sQ289_spl
| e22 = op2(e22,op2(e22,e22)) ),
inference(forward_demodulation,[status(thm)],[f4731,f281]) ).
fof(f5211,plain,
( ~ sQ221_spl
| ~ sQ289_spl
| e22 = op2(e22,h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f5214,f5207]) ).
fof(f5214,plain,
( ~ sQ221_spl
| ~ sQ289_spl
| h3(e10) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f4731,f3332]) ).
fof(f5215,plain,
( ~ sQ221_spl
| ~ sQ289_spl
| sQ220_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5211,f3672]) ).
fof(f5216,plain,
( ~ sQ221_spl
| ~ sQ289_spl
| sQ220_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f5215]) ).
fof(f5220,plain,
( sQ210_spl
| ~ sQ11_spl
| ~ sQ221_spl
| ~ sQ289_spl
| e22 != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f4731,f4701]) ).
fof(f5221,plain,
( ~ sQ221_spl
| ~ sQ289_spl
| ~ sQ227_spl
| e23 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f1518,f5214]) ).
fof(f5225,plain,
( ~ sQ221_spl
| ~ sQ289_spl
| ~ sQ227_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f5221,f1091,f1517,f1768,f1499]) ).
fof(f5227,plain,
( sQ216_spl
| ~ sQ34_spl
| ~ sQ221_spl
| ~ sQ289_spl
| e22 != op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f4731,f4593]) ).
fof(f5228,plain,
( sQ216_spl
| ~ sQ34_spl
| ~ sQ221_spl
| ~ sQ289_spl
| e22 != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f4731,f5227]) ).
fof(f5230,plain,
( sQ216_spl
| ~ sQ34_spl
| ~ sQ221_spl
| ~ sQ289_spl
| ~ sQ288_spl
| e22 != op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f1765,f5228]) ).
fof(f5231,plain,
( sQ216_spl
| ~ sQ34_spl
| ~ sQ221_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f5230,f1088,f1764,f1768,f1499,f822,f1484]) ).
fof(f5241,plain,
( sQ209_spl
| ~ sQ4_spl
| ~ sQ289_spl
| ~ sQ288_spl
| e22 != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f1765,f4692]) ).
fof(f5242,plain,
( sQ209_spl
| ~ sQ4_spl
| ~ sQ289_spl
| ~ sQ288_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1765,f5241]) ).
fof(f5243,plain,
( sQ209_spl
| ~ sQ4_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ223_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4480,f5242]) ).
fof(f5244,plain,
( sQ209_spl
| ~ sQ4_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5243]) ).
fof(f5245,plain,
( sQ209_spl
| ~ sQ4_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f5244]) ).
fof(f5250,plain,
( sQ214_spl
| ~ sQ289_spl
| ~ sQ26_spl
| ~ sQ221_spl
| e22 != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f4731,f4693]) ).
fof(f5251,plain,
( sQ214_spl
| ~ sQ289_spl
| ~ sQ26_spl
| ~ sQ221_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f4731,f5250]) ).
fof(f5252,plain,
( sQ214_spl
| ~ sQ289_spl
| ~ sQ26_spl
| ~ sQ221_spl
| ~ sQ223_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4480,f5251]) ).
fof(f5253,plain,
( sQ214_spl
| ~ sQ289_spl
| ~ sQ26_spl
| ~ sQ221_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5252]) ).
fof(f5254,plain,
( sQ214_spl
| ~ sQ289_spl
| ~ sQ26_spl
| ~ sQ221_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f5253]) ).
fof(f5259,plain,
( sQ212_spl
| ~ sQ289_spl
| ~ sQ16_spl
| ~ sQ288_spl
| e22 != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1765,f4696]) ).
fof(f5260,plain,
( sQ212_spl
| ~ sQ289_spl
| ~ sQ16_spl
| ~ sQ288_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1765,f5259]) ).
fof(f5261,plain,
( sQ212_spl
| ~ sQ289_spl
| ~ sQ16_spl
| ~ sQ288_spl
| ~ sQ223_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4480,f5260]) ).
fof(f5262,plain,
( sQ212_spl
| ~ sQ289_spl
| ~ sQ16_spl
| ~ sQ288_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5261]) ).
fof(f5263,plain,
( sQ212_spl
| ~ sQ289_spl
| ~ sQ16_spl
| ~ sQ288_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f5262]) ).
fof(f5282,plain,
( sQ208_spl
| ~ sQ1_spl
| ~ sQ289_spl
| ~ sQ288_spl
| e22 != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1765,f4698]) ).
fof(f5283,plain,
( sQ208_spl
| ~ sQ1_spl
| ~ sQ289_spl
| ~ sQ288_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1765,f5282]) ).
fof(f5284,plain,
( sQ208_spl
| ~ sQ1_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ223_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4480,f5283]) ).
fof(f5285,plain,
( sQ208_spl
| ~ sQ1_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5284]) ).
fof(f5286,plain,
( sQ208_spl
| ~ sQ1_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f5285]) ).
fof(f5292,plain,
( sQ211_spl
| ~ sQ14_spl
| ~ sQ289_spl
| ~ sQ288_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1765,f4773]) ).
fof(f5293,plain,
( sQ211_spl
| ~ sQ14_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ223_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4480,f5292]) ).
fof(f5294,plain,
( sQ211_spl
| ~ sQ14_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5293]) ).
fof(f5295,plain,
( sQ211_spl
| ~ sQ14_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f5294]) ).
fof(f5296,plain,
( sQ210_spl
| ~ sQ11_spl
| ~ sQ221_spl
| ~ sQ289_spl
| ~ sQ288_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1765,f5220]) ).
fof(f5297,plain,
( sQ210_spl
| ~ sQ11_spl
| ~ sQ221_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ223_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4480,f5296]) ).
fof(f5298,plain,
( sQ210_spl
| ~ sQ11_spl
| ~ sQ221_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5297]) ).
fof(f5299,plain,
( sQ210_spl
| ~ sQ11_spl
| ~ sQ221_spl
| ~ sQ289_spl
| ~ sQ288_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f5298]) ).
fof(f5332,plain,
( ~ sQ151_spl
| ~ sQ101_spl
| op2(op2(e22,e21),e22) = e21 ),
inference(backward_demodulation,[status(thm)],[f1073,f1273]) ).
fof(f5333,plain,
( ~ sQ151_spl
| ~ sQ101_spl
| op2(e21,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f1073,f5332]) ).
fof(f5334,plain,
( ~ sQ151_spl
| ~ sQ101_spl
| ~ sQ91_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1040,f5333]) ).
fof(f5335,plain,
( ~ sQ151_spl
| ~ sQ101_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5334,f222]) ).
fof(f5336,plain,
( ~ sQ151_spl
| ~ sQ101_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f5335]) ).
fof(f5342,plain,
( sQ168_spl
| ~ sQ26_spl
| ~ sQ265_spl
| h1(e12) != op2(e22,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f4420,f4688]) ).
fof(f5351,plain,
( ~ sQ265_spl
| h1(e12) = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f4420,f2261]) ).
fof(f5352,plain,
( ~ sQ265_spl
| ~ sQ73_spl
| h1(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f982,f5351]) ).
fof(f5353,plain,
( ~ sQ265_spl
| ~ sQ73_spl
| sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5352,f1655]) ).
fof(f5354,plain,
( ~ sQ265_spl
| ~ sQ73_spl
| sQ262_spl ),
inference(contradiction_clause,[status(thm)],[f5353]) ).
fof(f5356,plain,
( sQ168_spl
| ~ sQ26_spl
| ~ sQ265_spl
| ~ sQ73_spl
| h1(e12) != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f5352,f5342]) ).
fof(f5357,plain,
( ~ sQ265_spl
| ~ sQ73_spl
| h1(e10) = op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f5352,f4429]) ).
fof(f5365,plain,
( sQ168_spl
| ~ sQ26_spl
| ~ sQ265_spl
| ~ sQ73_spl
| e21 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f5352,f5356]) ).
fof(f5366,plain,
( sQ168_spl
| ~ sQ26_spl
| ~ sQ265_spl
| ~ sQ73_spl
| ~ sQ101_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1073,f5365]) ).
fof(f5367,plain,
( sQ168_spl
| ~ sQ26_spl
| ~ sQ265_spl
| ~ sQ73_spl
| ~ sQ101_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5366]) ).
fof(f5368,plain,
( sQ168_spl
| ~ sQ26_spl
| ~ sQ265_spl
| ~ sQ73_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f5367]) ).
fof(f5369,plain,
( ~ sQ265_spl
| ~ sQ73_spl
| ~ sQ71_spl
| h1(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f975,f5357]) ).
fof(f5370,plain,
( ~ sQ265_spl
| ~ sQ73_spl
| ~ sQ71_spl
| sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5369,f1373]) ).
fof(f5371,plain,
( ~ sQ265_spl
| ~ sQ73_spl
| ~ sQ71_spl
| sQ181_spl ),
inference(contradiction_clause,[status(thm)],[f5370]) ).
fof(f5385,plain,
( sQ174_spl
| ~ sQ51_spl
| ~ sQ265_spl
| ~ sQ73_spl
| ~ sQ71_spl
| e20 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f5369,f3783]) ).
fof(f5387,plain,
( sQ174_spl
| ~ sQ51_spl
| ~ sQ265_spl
| ~ sQ73_spl
| ~ sQ71_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f5385,f991,f974,f981,f1666,f877,f1350]) ).
fof(f5413,plain,
( ~ sQ153_spl
| ~ sQ73_spl
| op2(e21,e20) = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f982,f1280]) ).
fof(f5418,plain,
( ~ sQ153_spl
| ~ sQ73_spl
| op2(e21,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f982,f5413]) ).
fof(f5458,plain,
( ~ sQ158_spl
| ~ sQ94_spl
| op2(op2(e21,e23),e21) = e22 ),
inference(backward_demodulation,[status(thm)],[f1050,f1296]) ).
fof(f5462,plain,
( ~ sQ158_spl
| ~ sQ94_spl
| op2(e22,e21) = e22 ),
inference(forward_demodulation,[status(thm)],[f1050,f5458]) ).
fof(f5463,plain,
( ~ sQ158_spl
| ~ sQ94_spl
| ~ sQ101_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1073,f5462]) ).
fof(f5464,plain,
( ~ sQ158_spl
| ~ sQ94_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5463,f221]) ).
fof(f5465,plain,
( ~ sQ158_spl
| ~ sQ94_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f5464]) ).
fof(f5472,plain,
( ~ sQ158_spl
| ~ sQ94_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f5462,f1075,f1049,f1295]) ).
fof(f5474,plain,
( sQ235_spl
| ~ sQ120_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ16_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f4544,f1004,f764,f1602,f1578,f1134,f1545]) ).
fof(f5475,plain,
( ~ sQ80_spl
| ~ sQ153_spl
| ~ sQ73_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f5418,f1005]) ).
fof(f5476,plain,
( ~ sQ80_spl
| ~ sQ153_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5475,f218]) ).
fof(f5477,plain,
( ~ sQ80_spl
| ~ sQ153_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f5476]) ).
fof(f5478,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ145_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5101,f952,f1253,f845,f1344]) ).
fof(f5479,plain,
( sQ174_spl
| ~ sQ260_spl
| ~ sQ51_spl
| h1(e13) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f878,f2445]) ).
fof(f5480,plain,
( sQ174_spl
| ~ sQ260_spl
| ~ sQ51_spl
| e20 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f270,f5479]) ).
fof(f5481,plain,
( sQ166_spl
| ~ sQ260_spl
| ~ sQ16_spl
| h1(e10) != op2(h1(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f765,f2443]) ).
fof(f5482,plain,
( ~ sQ237_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ26_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f4977,f1036,f796,f1602,f1578,f1551]) ).
fof(f5483,plain,
( ~ sQ239_spl
| ~ sQ34_spl
| h4(e12) = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f823,f4202]) ).
fof(f5484,plain,
( ~ sQ239_spl
| ~ sQ34_spl
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2330,f5483]) ).
fof(f5485,plain,
( sQ163_spl
| ~ sQ260_spl
| ~ sQ4_spl
| h1(e10) != op2(e21,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f726,f2440]) ).
fof(f5486,plain,
( sQ170_spl
| ~ sQ260_spl
| ~ sQ34_spl
| h1(e12) != op2(h1(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f823,f2444]) ).
fof(f5515,plain,
( ~ sQ145_spl
| ~ sQ64_spl
| ~ sQ262_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1654,f4966]) ).
fof(f5516,plain,
( ~ sQ145_spl
| ~ sQ64_spl
| ~ sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5515,f218]) ).
fof(f5517,plain,
( ~ sQ145_spl
| ~ sQ64_spl
| ~ sQ262_spl ),
inference(contradiction_clause,[status(thm)],[f5516]) ).
fof(f5518,plain,
( ~ sQ155_spl
| ~ sQ223_spl
| ~ sQ228_spl
| op2(e23,e22) = h3(e11) ),
inference(forward_demodulation,[status(thm)],[f1522,f4014]) ).
fof(f5519,plain,
( ~ sQ155_spl
| ~ sQ223_spl
| ~ sQ228_spl
| e20 = h3(e11) ),
inference(forward_demodulation,[status(thm)],[f2934,f5518]) ).
fof(f5520,plain,
( ~ sQ155_spl
| ~ sQ223_spl
| ~ sQ228_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1522,f5519]) ).
fof(f5521,plain,
( ~ sQ155_spl
| ~ sQ223_spl
| ~ sQ228_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5520,f220]) ).
fof(f5522,plain,
( ~ sQ155_spl
| ~ sQ223_spl
| ~ sQ228_spl ),
inference(contradiction_clause,[status(thm)],[f5521]) ).
fof(f5529,plain,
( sQ239_spl
| ~ sQ302_spl
| ~ sQ120_spl
| ~ sQ34_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f4536,f1062,f822,f1134,f1823,f1557]) ).
fof(f5530,plain,
( ~ sQ239_spl
| ~ sQ34_spl
| ~ sQ97_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1060,f5484]) ).
fof(f5531,plain,
( ~ sQ239_spl
| ~ sQ34_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5530,f221]) ).
fof(f5532,plain,
( ~ sQ239_spl
| ~ sQ34_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f5531]) ).
fof(f5561,plain,
( ~ sQ64_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3945,f272]) ).
fof(f5565,plain,
( ~ sQ260_spl
| ~ sQ181_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1372,f1646]) ).
fof(f5566,plain,
( ~ sQ260_spl
| ~ sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5565,f222]) ).
fof(f5567,plain,
( ~ sQ260_spl
| ~ sQ181_spl ),
inference(contradiction_clause,[status(thm)],[f5566]) ).
fof(f5568,plain,
( sQ164_spl
| ~ sQ11_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f5032,f4431]) ).
fof(f5569,plain,
( ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| h1(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5032,f4429]) ).
fof(f5570,plain,
( sQ164_spl
| ~ sQ11_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f5571,f5568]) ).
fof(f5571,plain,
( ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| h1(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f5561,f5569]) ).
fof(f5572,plain,
( sQ164_spl
| ~ sQ11_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5570,f952,f780,f1329,f747,f1320]) ).
fof(f5577,plain,
( sQ165_spl
| ~ sQ14_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f5032,f4838]) ).
fof(f5578,plain,
( sQ165_spl
| ~ sQ14_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5571,f5577]) ).
fof(f5579,plain,
( sQ165_spl
| ~ sQ14_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5561,f5578]) ).
fof(f5580,plain,
( sQ165_spl
| ~ sQ14_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5579]) ).
fof(f5581,plain,
( sQ165_spl
| ~ sQ14_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f5580]) ).
fof(f5587,plain,
( sQ173_spl
| ~ sQ44_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f5571,f4552]) ).
fof(f5588,plain,
( sQ173_spl
| ~ sQ44_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5032,f5587]) ).
fof(f5589,plain,
( sQ173_spl
| ~ sQ44_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5561,f5588]) ).
fof(f5590,plain,
( sQ173_spl
| ~ sQ44_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5589]) ).
fof(f5591,plain,
( sQ173_spl
| ~ sQ44_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f5590]) ).
fof(f5596,plain,
( sQ170_spl
| ~ sQ34_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f5032,f4683]) ).
fof(f5597,plain,
( sQ170_spl
| ~ sQ34_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f5032,f5596]) ).
fof(f5598,plain,
( sQ170_spl
| ~ sQ34_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5571,f5597]) ).
fof(f5599,plain,
( sQ170_spl
| ~ sQ34_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5561,f5598]) ).
fof(f5600,plain,
( sQ170_spl
| ~ sQ34_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5599]) ).
fof(f5601,plain,
( sQ170_spl
| ~ sQ34_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f5600]) ).
fof(f5609,plain,
( sQ166_spl
| ~ sQ16_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f5571,f4831]) ).
fof(f5610,plain,
( sQ166_spl
| ~ sQ16_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3945,f5609]) ).
fof(f5611,plain,
( sQ166_spl
| ~ sQ16_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5571,f5610]) ).
fof(f5612,plain,
( sQ166_spl
| ~ sQ16_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5561,f5611]) ).
fof(f5613,plain,
( sQ166_spl
| ~ sQ16_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5612]) ).
fof(f5614,plain,
( sQ166_spl
| ~ sQ16_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f5613]) ).
fof(f5619,plain,
( ~ sQ260_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f5571,f1646]) ).
fof(f5620,plain,
( ~ sQ260_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5619,f218]) ).
fof(f5621,plain,
( ~ sQ260_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f5620]) ).
fof(f5631,plain,
( sQ162_spl
| ~ sQ1_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3945,f4836]) ).
fof(f5632,plain,
( sQ162_spl
| ~ sQ1_spl
| ~ sQ64_spl
| ~ sQ167_spl
| ~ sQ21_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f5571,f5631]) ).
fof(f5633,plain,
( sQ162_spl
| ~ sQ1_spl
| ~ sQ64_spl
| ~ sQ167_spl
| ~ sQ21_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5571,f5632]) ).
fof(f5634,plain,
( sQ162_spl
| ~ sQ1_spl
| ~ sQ64_spl
| ~ sQ167_spl
| ~ sQ21_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5561,f5633]) ).
fof(f5635,plain,
( sQ162_spl
| ~ sQ1_spl
| ~ sQ64_spl
| ~ sQ167_spl
| ~ sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5634]) ).
fof(f5636,plain,
( sQ162_spl
| ~ sQ1_spl
| ~ sQ64_spl
| ~ sQ167_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f5635]) ).
fof(f5641,plain,
( sQ163_spl
| ~ sQ4_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f5571,f2846]) ).
fof(f5642,plain,
( sQ163_spl
| ~ sQ4_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f5571,f5641]) ).
fof(f5643,plain,
( sQ163_spl
| ~ sQ4_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3945,f5642]) ).
fof(f5644,plain,
( sQ163_spl
| ~ sQ4_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5561,f5643]) ).
fof(f5645,plain,
( sQ163_spl
| ~ sQ4_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5644]) ).
fof(f5646,plain,
( sQ163_spl
| ~ sQ4_spl
| ~ sQ167_spl
| ~ sQ21_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f5645]) ).
fof(f5669,plain,
( sQ221_spl
| ~ sQ228_spl
| h3(e12) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3843,f3587]) ).
fof(f5670,plain,
( sQ221_spl
| ~ sQ228_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5669]) ).
fof(f5671,plain,
( sQ221_spl
| ~ sQ228_spl ),
inference(contradiction_clause,[status(thm)],[f5670]) ).
fof(f5683,plain,
( ~ sQ152_spl
| ~ sQ228_spl
| h3(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f3843,f2709]) ).
fof(f5684,plain,
( ~ sQ152_spl
| ~ sQ228_spl
| sQ290_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5683,f1774]) ).
fof(f5685,plain,
( ~ sQ152_spl
| ~ sQ228_spl
| sQ290_spl ),
inference(contradiction_clause,[status(thm)],[f5684]) ).
fof(f5686,plain,
( sQ219_spl
| ~ sQ290_spl
| ~ sQ44_spl
| ~ sQ228_spl
| h3(e10) != e23 ),
inference(forward_demodulation,[status(thm)],[f3844,f4676]) ).
fof(f5688,plain,
( sQ218_spl
| ~ sQ290_spl
| ~ sQ41_spl
| ~ sQ228_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1522,f4678]) ).
fof(f5689,plain,
( sQ218_spl
| ~ sQ290_spl
| ~ sQ41_spl
| ~ sQ228_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3844,f5688]) ).
fof(f5690,plain,
( sQ218_spl
| ~ sQ290_spl
| ~ sQ41_spl
| ~ sQ228_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5689]) ).
fof(f5691,plain,
( sQ218_spl
| ~ sQ290_spl
| ~ sQ41_spl
| ~ sQ228_spl ),
inference(contradiction_clause,[status(thm)],[f5690]) ).
fof(f5694,plain,
( sQ215_spl
| ~ sQ285_spl
| ~ sQ31_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f4810,f1036,f812,f1751,f1481]) ).
fof(f5695,plain,
( ~ sQ285_spl
| ~ sQ228_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1522,f1752]) ).
fof(f5696,plain,
( ~ sQ285_spl
| ~ sQ228_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5695,f222]) ).
fof(f5697,plain,
( ~ sQ285_spl
| ~ sQ228_spl ),
inference(contradiction_clause,[status(thm)],[f5696]) ).
fof(f5708,plain,
( sQ217_spl
| ~ sQ228_spl
| ~ sQ39_spl
| ~ sQ152_spl
| e22 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f5683,f4948]) ).
fof(f5711,plain,
( ~ sQ152_spl
| ~ sQ228_spl
| h3(e10) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f5683,f3332]) ).
fof(f5717,plain,
( sQ217_spl
| ~ sQ228_spl
| ~ sQ39_spl
| ~ sQ152_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f5708,f1101,f1275,f838,f1521,f1487]) ).
fof(f5720,plain,
( ~ sQ152_spl
| ~ sQ228_spl
| h3(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f3844,f5711]) ).
fof(f5721,plain,
( ~ sQ152_spl
| ~ sQ228_spl
| sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5720,f1519]) ).
fof(f5722,plain,
( ~ sQ152_spl
| ~ sQ228_spl
| sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f5721]) ).
fof(f5726,plain,
( sQ219_spl
| ~ sQ290_spl
| ~ sQ44_spl
| ~ sQ228_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f5686,f1517,f1521,f855,f1772,f1493]) ).
fof(f5743,plain,
( sQ220_spl
| ~ sQ51_spl
| ~ sQ227_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f4153,f1101,f1517,f877,f1496]) ).
fof(f5764,plain,
( sQ94_spl
| ~ sQ205_spl
| h2(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f4058,f1051]) ).
fof(f5777,plain,
( ~ sQ92_spl
| ~ sQ205_spl
| h2(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f4058,f1044]) ).
fof(f5778,plain,
( ~ sQ92_spl
| ~ sQ205_spl
| sQ270_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5777,f1689]) ).
fof(f5779,plain,
( ~ sQ92_spl
| ~ sQ205_spl
| sQ270_spl ),
inference(contradiction_clause,[status(thm)],[f5778]) ).
fof(f5806,plain,
( ~ sQ92_spl
| ~ sQ205_spl
| h2(e10) = op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f5777,f4336]) ).
fof(f5819,plain,
( ~ sQ82_spl
| e22 != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f1011,f195]) ).
fof(f5823,plain,
( ~ sQ82_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f5819,f1036,f1010]) ).
fof(f5847,plain,
( sQ147_spl
| ~ sQ97_spl
| op2(e21,e22) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1060,f1261]) ).
fof(f5848,plain,
( sQ147_spl
| ~ sQ97_spl
| ~ sQ89_spl
| e21 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1034,f5847]) ).
fof(f5849,plain,
( sQ147_spl
| ~ sQ97_spl
| ~ sQ89_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1060,f5848]) ).
fof(f5850,plain,
( sQ147_spl
| ~ sQ97_spl
| ~ sQ89_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5849]) ).
fof(f5851,plain,
( sQ147_spl
| ~ sQ97_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f5850]) ).
fof(f5852,plain,
( sQ145_spl
| ~ sQ64_spl
| op2(e20,e20) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f3945,f4016]) ).
fof(f5853,plain,
( sQ145_spl
| ~ sQ64_spl
| e20 != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f5561,f5852]) ).
fof(f5854,plain,
( sQ145_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3945,f5853]) ).
fof(f5855,plain,
( sQ145_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5854]) ).
fof(f5856,plain,
( sQ145_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f5855]) ).
fof(f5873,plain,
( ~ sQ154_spl
| ~ sQ89_spl
| op2(e21,e21) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1034,f1283]) ).
fof(f5874,plain,
( ~ sQ154_spl
| ~ sQ89_spl
| ~ sQ205_spl
| e23 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f4459,f5873]) ).
fof(f5875,plain,
( ~ sQ154_spl
| ~ sQ89_spl
| ~ sQ205_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1034,f5874]) ).
fof(f5876,plain,
( ~ sQ154_spl
| ~ sQ89_spl
| ~ sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5875,f222]) ).
fof(f5877,plain,
( ~ sQ154_spl
| ~ sQ89_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f5876]) ).
fof(f5896,plain,
( ~ sQ79_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1001,f182]) ).
fof(f5900,plain,
( ~ sQ261_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f2961,f968,f1649]) ).
fof(f5904,plain,
( ~ sQ110_spl
| op2(e22,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f1102,f202]) ).
fof(f5905,plain,
( ~ sQ82_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1011,f167]) ).
fof(f5908,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f969,f966]) ).
fof(f5909,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5908,f218]) ).
fof(f5910,plain,
( ~ sQ68_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f5909]) ).
fof(f5946,plain,
( sQ167_spl
| ~ sQ21_spl
| ~ sQ261_spl
| h1(e11) != op2(h1(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f1650,f3934]) ).
fof(f5947,plain,
( ~ sQ261_spl
| e21 = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f1650,f272]) ).
fof(f5954,plain,
( ~ sQ145_spl
| ~ sQ261_spl
| op2(h1(e11),e20) = e21 ),
inference(backward_demodulation,[status(thm)],[f1650,f4386]) ).
fof(f5957,plain,
( sQ167_spl
| ~ sQ21_spl
| ~ sQ261_spl
| e21 != op2(h1(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f5946]) ).
fof(f5958,plain,
( sQ167_spl
| ~ sQ21_spl
| ~ sQ261_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f5957]) ).
fof(f5959,plain,
( sQ167_spl
| ~ sQ21_spl
| ~ sQ261_spl
| ~ sQ213_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4866,f5958]) ).
fof(f5960,plain,
( sQ167_spl
| ~ sQ21_spl
| ~ sQ261_spl
| ~ sQ213_spl
| ~ sQ105_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5959]) ).
fof(f5961,plain,
( sQ167_spl
| ~ sQ21_spl
| ~ sQ261_spl
| ~ sQ213_spl
| ~ sQ105_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f5960]) ).
fof(f5962,plain,
( ~ sQ145_spl
| ~ sQ261_spl
| op2(e21,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f1650,f5954]) ).
fof(f5963,plain,
( ~ sQ145_spl
| ~ sQ261_spl
| ~ sQ82_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1011,f5962]) ).
fof(f5964,plain,
( ~ sQ145_spl
| ~ sQ261_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5963,f221]) ).
fof(f5965,plain,
( ~ sQ145_spl
| ~ sQ261_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f5964]) ).
fof(f6005,plain,
( ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f4866,f276]) ).
fof(f6006,plain,
( ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6005,f1702]) ).
fof(f6007,plain,
( ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f6006]) ).
fof(f6008,plain,
( sQ236_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ21_spl
| ~ sQ273_spl ),
inference(split_clause,[status(thm)],[f4332,f1700,f780,f1602,f1578,f1548]) ).
fof(f6011,plain,
( ~ sQ236_spl
| ~ sQ21_spl
| h4(e11) = op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f781,f1549]) ).
fof(f6012,plain,
( ~ sQ236_spl
| ~ sQ21_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e21 = op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2471,f6011]) ).
fof(f6013,plain,
( ~ sQ236_spl
| ~ sQ21_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e21 = op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2471,f6012]) ).
fof(f6014,plain,
( ~ sQ236_spl
| ~ sQ21_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2471,f6013]) ).
fof(f6018,plain,
( sQ150_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| op2(h2(e11),e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f6005,f4309]) ).
fof(f6023,plain,
( sQ150_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| op2(e21,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f6005,f6018]) ).
fof(f6024,plain,
( sQ150_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4866,f6023]) ).
fof(f6025,plain,
( sQ150_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6024]) ).
fof(f6026,plain,
( sQ150_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f6025]) ).
fof(f6029,plain,
( sQ190_spl
| ~ sQ21_spl
| ~ sQ213_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f6005,f4341]) ).
fof(f6030,plain,
( sQ190_spl
| ~ sQ21_spl
| ~ sQ213_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f6005,f6029]) ).
fof(f6031,plain,
( sQ190_spl
| ~ sQ21_spl
| ~ sQ213_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6005,f6030]) ).
fof(f6032,plain,
( sQ190_spl
| ~ sQ21_spl
| ~ sQ213_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4866,f6031]) ).
fof(f6033,plain,
( sQ190_spl
| ~ sQ21_spl
| ~ sQ213_spl
| ~ sQ105_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6032]) ).
fof(f6034,plain,
( sQ190_spl
| ~ sQ21_spl
| ~ sQ213_spl
| ~ sQ105_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f6033]) ).
fof(f6038,plain,
( ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| h2(e12) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6005,f3077]) ).
fof(f6039,plain,
( ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| h2(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f4866,f6038]) ).
fof(f6057,plain,
( ~ sQ268_spl
| e20 = op2(e21,h2(e12)) ),
inference(backward_demodulation,[status(thm)],[f1680,f4336]) ).
fof(f6068,plain,
( sQ195_spl
| ~ sQ41_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f6005,f4365]) ).
fof(f6069,plain,
( sQ195_spl
| ~ sQ41_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f6039,f6068]) ).
fof(f6070,plain,
( sQ195_spl
| ~ sQ41_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6039,f6069]) ).
fof(f6071,plain,
( sQ195_spl
| ~ sQ41_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4866,f6070]) ).
fof(f6072,plain,
( sQ195_spl
| ~ sQ41_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6071]) ).
fof(f6073,plain,
( sQ195_spl
| ~ sQ41_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f6072]) ).
fof(f6078,plain,
( sQ194_spl
| ~ sQ39_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f6039,f4264]) ).
fof(f6079,plain,
( sQ194_spl
| ~ sQ39_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6005,f6078]) ).
fof(f6080,plain,
( sQ194_spl
| ~ sQ39_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4866,f6079]) ).
fof(f6081,plain,
( sQ194_spl
| ~ sQ39_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6080]) ).
fof(f6082,plain,
( sQ194_spl
| ~ sQ39_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f6081]) ).
fof(f6087,plain,
( sQ192_spl
| ~ sQ31_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6005,f4654]) ).
fof(f6088,plain,
( sQ192_spl
| ~ sQ31_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4866,f6087]) ).
fof(f6089,plain,
( sQ192_spl
| ~ sQ31_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6088]) ).
fof(f6090,plain,
( sQ192_spl
| ~ sQ31_spl
| ~ sQ213_spl
| ~ sQ21_spl
| ~ sQ105_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f6089]) ).
fof(f6093,plain,
( ~ sQ239_spl
| ~ sQ34_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5484,f5904]) ).
fof(f6094,plain,
( ~ sQ239_spl
| ~ sQ34_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f6093]) ).
fof(f6097,plain,
( sQ167_spl
| ~ sQ21_spl
| ~ sQ261_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f5958,f1020,f1649,f780,f1329]) ).
fof(f6098,plain,
( ~ sQ111_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f4599,f1078,f1104]) ).
fof(f6102,plain,
( ~ sQ75_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f4770,f1039,f987]) ).
fof(f6103,plain,
( ~ sQ101_spl
| ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ246_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f4737,f1073]) ).
fof(f6104,plain,
( ~ sQ101_spl
| ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6103,f222]) ).
fof(f6105,plain,
( ~ sQ101_spl
| ~ sQ240_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f6104]) ).
fof(f6121,plain,
( sQ169_spl
| ~ sQ65_spl
| ~ sQ31_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f4726,f1004,f812,f955,f1335]) ).
fof(f6123,plain,
( sQ238_spl
| ~ sQ253_spl
| ~ sQ246_spl
| ~ sQ31_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f4824,f1052,f812,f1578,f1602,f1554]) ).
fof(f6135,plain,
( sQ94_spl
| ~ sQ205_spl
| ~ sQ278_spl ),
inference(split_clause,[status(thm)],[f5764,f1721,f1448,f1049]) ).
fof(f6149,plain,
( sQ171_spl
| ~ sQ39_spl
| ~ sQ261_spl
| e20 != op2(h1(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f4311]) ).
fof(f6153,plain,
( sQ168_spl
| ~ sQ26_spl
| ~ sQ261_spl
| h1(e12) != op2(e21,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f1650,f4688]) ).
fof(f6154,plain,
( sQ168_spl
| ~ sQ26_spl
| ~ sQ261_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h1(e12) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f6165,f6153]) ).
fof(f6155,plain,
( sQ171_spl
| ~ sQ39_spl
| ~ sQ261_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e20 != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f6165,f6149]) ).
fof(f6156,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ261_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e21 != op2(h1(e12),e20) ),
inference(backward_demodulation,[status(thm)],[f6165,f4830]) ).
fof(f6157,plain,
( sQ164_spl
| ~ sQ11_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e20 != op2(h1(e10),e20) ),
inference(backward_demodulation,[status(thm)],[f6165,f4431]) ).
fof(f6158,plain,
( ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h1(e10) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f6165,f4429]) ).
fof(f6159,plain,
( sQ165_spl
| ~ sQ14_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e20 != op2(h1(e10),e20) ),
inference(backward_demodulation,[status(thm)],[f6165,f4838]) ).
fof(f6160,plain,
( sQ173_spl
| ~ sQ44_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h1(e10) != op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f6165,f4552]) ).
fof(f6165,plain,
( ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h1(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f4426,f4513]) ).
fof(f6166,plain,
( sQ168_spl
| ~ sQ26_spl
| ~ sQ261_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f6165,f6154]) ).
fof(f6167,plain,
( sQ171_spl
| ~ sQ39_spl
| ~ sQ261_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f6155,f965,f1602,f1578,f725,f1536,f955,f1649,f838,f1341]) ).
fof(f6168,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ261_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e21 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6165,f6156]) ).
fof(f6169,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ261_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ231_spl
| ~ sQ1_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4527,f6168]) ).
fof(f6170,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ261_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ231_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6169]) ).
fof(f6171,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ261_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ231_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f6170]) ).
fof(f6172,plain,
( ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ231_spl
| ~ sQ1_spl
| h1(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f4527,f6158]) ).
fof(f6173,plain,
( ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ231_spl
| ~ sQ1_spl
| sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6172,f1647]) ).
fof(f6174,plain,
( ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ231_spl
| ~ sQ1_spl
| sQ260_spl ),
inference(contradiction_clause,[status(thm)],[f6173]) ).
fof(f6175,plain,
( sQ173_spl
| ~ sQ44_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ231_spl
| ~ sQ1_spl
| h1(e10) != e21 ),
inference(forward_demodulation,[status(thm)],[f4527,f6160]) ).
fof(f6182,plain,
( sQ174_spl
| ~ sQ260_spl
| ~ sQ51_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f5480,f965,f877,f1645,f1350]) ).
fof(f6183,plain,
( sQ163_spl
| ~ sQ260_spl
| ~ sQ4_spl
| ~ sQ261_spl
| h1(e10) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f5485]) ).
fof(f6184,plain,
( sQ166_spl
| ~ sQ260_spl
| ~ sQ16_spl
| ~ sQ261_spl
| h1(e10) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f5481]) ).
fof(f6185,plain,
( sQ170_spl
| ~ sQ260_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e20 != op2(h1(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f6165,f5486]) ).
fof(f6186,plain,
( sQ170_spl
| ~ sQ260_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e20 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f6165,f6185]) ).
fof(f6187,plain,
( sQ170_spl
| ~ sQ260_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4426,f6186]) ).
fof(f6188,plain,
( sQ170_spl
| ~ sQ260_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6187]) ).
fof(f6189,plain,
( sQ170_spl
| ~ sQ260_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f6188]) ).
fof(f6250,plain,
( ~ sQ205_spl
| e23 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4374,f276]) ).
fof(f6251,plain,
( ~ sQ205_spl
| ~ sQ236_spl
| ~ sQ21_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f6014,f6250]) ).
fof(f6252,plain,
( ~ sQ205_spl
| ~ sQ236_spl
| ~ sQ21_spl
| ~ sQ246_spl
| ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6251,f222]) ).
fof(f6253,plain,
( ~ sQ205_spl
| ~ sQ236_spl
| ~ sQ21_spl
| ~ sQ246_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f6252]) ).
fof(f6256,plain,
( ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ231_spl
| ~ sQ1_spl
| sQ173_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6172,f6175]) ).
fof(f6257,plain,
( ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ231_spl
| ~ sQ1_spl
| sQ173_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f6256]) ).
fof(f6273,plain,
( ~ sQ223_spl
| ~ sQ289_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1769,f3541]) ).
fof(f6275,plain,
( sQ155_spl
| ~ sQ223_spl
| ~ sQ289_spl
| op2(e22,e22) != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f1769,f3973]) ).
fof(f6276,plain,
( sQ155_spl
| ~ sQ223_spl
| ~ sQ289_spl
| e22 != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f6273,f6275]) ).
fof(f6277,plain,
( sQ155_spl
| ~ sQ223_spl
| ~ sQ289_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1769,f6276]) ).
fof(f6278,plain,
( sQ155_spl
| ~ sQ223_spl
| ~ sQ289_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6277]) ).
fof(f6279,plain,
( sQ155_spl
| ~ sQ223_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f6278]) ).
fof(f6301,plain,
( ~ sQ276_spl
| e22 = op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1714,f4336]) ).
fof(f6303,plain,
( ~ sQ276_spl
| ~ sQ92_spl
| ~ sQ205_spl
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f5777,f6301]) ).
fof(f6309,plain,
( sQ197_spl
| ~ sQ51_spl
| ~ sQ276_spl
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1714,f3671]) ).
fof(f6325,plain,
( ~ sQ157_spl
| ~ sQ234_spl
| ~ sQ14_spl
| ~ sQ253_spl
| op2(e22,e20) = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f4991,f1293]) ).
fof(f6329,plain,
( ~ sQ147_spl
| ~ sQ157_spl
| ~ sQ234_spl
| ~ sQ14_spl
| ~ sQ253_spl
| op2(op2(e22,e20),e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f6330,f1260]) ).
fof(f6330,plain,
( ~ sQ157_spl
| ~ sQ234_spl
| ~ sQ14_spl
| ~ sQ253_spl
| op2(e22,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f4991,f6325]) ).
fof(f6331,plain,
( ~ sQ147_spl
| ~ sQ157_spl
| ~ sQ234_spl
| ~ sQ14_spl
| ~ sQ253_spl
| op2(e22,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f6330,f6329]) ).
fof(f6346,plain,
( ~ sQ276_spl
| ~ sQ92_spl
| ~ sQ205_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f6303,f167]) ).
fof(f6347,plain,
( ~ sQ276_spl
| ~ sQ92_spl
| ~ sQ205_spl
| ~ sQ157_spl
| ~ sQ234_spl
| ~ sQ14_spl
| ~ sQ253_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f6330,f6346]) ).
fof(f6348,plain,
( ~ sQ276_spl
| ~ sQ92_spl
| ~ sQ205_spl
| ~ sQ157_spl
| ~ sQ234_spl
| ~ sQ14_spl
| ~ sQ253_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6347]) ).
fof(f6349,plain,
( ~ sQ276_spl
| ~ sQ92_spl
| ~ sQ205_spl
| ~ sQ157_spl
| ~ sQ234_spl
| ~ sQ14_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f6348]) ).
fof(f6356,plain,
( sQ157_spl
| ~ sQ234_spl
| ~ sQ14_spl
| ~ sQ253_spl
| op2(e22,e20) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f4991,f1294]) ).
fof(f6357,plain,
( sQ157_spl
| ~ sQ234_spl
| ~ sQ14_spl
| ~ sQ253_spl
| op2(e22,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f4991,f6356]) ).
fof(f6409,plain,
( ~ sQ82_spl
| ~ sQ92_spl
| ~ sQ205_spl
| h2(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f5806,f1011]) ).
fof(f6410,plain,
( ~ sQ82_spl
| ~ sQ92_spl
| ~ sQ205_spl
| sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6409,f1715]) ).
fof(f6411,plain,
( ~ sQ82_spl
| ~ sQ92_spl
| ~ sQ205_spl
| sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f6410]) ).
fof(f6415,plain,
( sQ197_spl
| ~ sQ51_spl
| ~ sQ276_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f6309,f1033,f1713,f877,f1423]) ).
fof(f6504,plain,
( sQ162_spl
| ~ sQ1_spl
| ~ sQ261_spl
| ~ sQ260_spl
| e21 != op2(e21,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1646,f4835]) ).
fof(f6505,plain,
( sQ162_spl
| ~ sQ1_spl
| ~ sQ261_spl
| ~ sQ260_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1646,f6504]) ).
fof(f6579,plain,
( sQ164_spl
| ~ sQ11_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ260_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1646,f6157]) ).
fof(f6581,plain,
( sQ165_spl
| ~ sQ14_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ260_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1646,f6159]) ).
fof(f6583,plain,
( sQ163_spl
| ~ sQ260_spl
| ~ sQ4_spl
| ~ sQ261_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1646,f6183]) ).
fof(f6585,plain,
( sQ166_spl
| ~ sQ260_spl
| ~ sQ16_spl
| ~ sQ261_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1646,f6184]) ).
fof(f6614,plain,
( ~ sQ147_spl
| ~ sQ96_spl
| op2(e20,e22) = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1057,f1260]) ).
fof(f6615,plain,
( ~ sQ147_spl
| ~ sQ96_spl
| ~ sQ75_spl
| e23 = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f988,f6614]) ).
fof(f6616,plain,
( ~ sQ147_spl
| ~ sQ96_spl
| ~ sQ75_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1057,f6615]) ).
fof(f6617,plain,
( ~ sQ147_spl
| ~ sQ96_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6616,f220]) ).
fof(f6618,plain,
( ~ sQ147_spl
| ~ sQ96_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f6617]) ).
fof(f6621,plain,
( ~ sQ31_spl
| op1(e11,e11) != e13 ),
inference(forward_demodulation,[status(thm)],[f813,f150]) ).
fof(f6624,plain,
( ~ sQ147_spl
| ~ sQ157_spl
| ~ sQ234_spl
| ~ sQ14_spl
| ~ sQ253_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f6331,f1088,f1602,f757,f1542,f1292,f1259]) ).
fof(f6626,plain,
( ~ sQ31_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f4547,f864,f812]) ).
fof(f6631,plain,
( ~ sQ44_spl
| op1(e12,e11) != e10 ),
inference(forward_demodulation,[status(thm)],[f856,f156]) ).
fof(f6632,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f4256,f829,f725]) ).
fof(f6633,plain,
( sQ166_spl
| ~ sQ260_spl
| ~ sQ16_spl
| ~ sQ261_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f6585,f1020,f1649,f764,f1645,f1326]) ).
fof(f6634,plain,
( sQ163_spl
| ~ sQ260_spl
| ~ sQ4_spl
| ~ sQ261_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f6583,f1020,f1649,f725,f1645,f1317]) ).
fof(f6635,plain,
( sQ165_spl
| ~ sQ14_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ260_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f6581,f1004,f1645,f1602,f1578,f725,f1536,f955,f757,f1323]) ).
fof(f6636,plain,
( sQ164_spl
| ~ sQ11_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ260_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f6579,f1004,f1645,f1602,f1578,f725,f1536,f955,f747,f1320]) ).
fof(f6639,plain,
( sQ162_spl
| ~ sQ1_spl
| ~ sQ261_spl
| ~ sQ260_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f6505,f1020,f1645,f1649,f715,f1314]) ).
fof(f6653,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f4355,f851,f747]) ).
fof(f6656,plain,
( sQ168_spl
| ~ sQ26_spl
| ~ sQ261_spl
| ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ4_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f6166,f1004,f1602,f1578,f725,f1536,f955,f1649,f796,f1332]) ).
fof(f6658,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f856,f865]) ).
fof(f6659,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6658,f214]) ).
fof(f6660,plain,
( ~ sQ47_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f6659]) ).
fof(f6677,plain,
( ~ sQ152_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f2709,f1101,f1275]) ).
fof(f6678,plain,
( ~ sQ32_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f3763,f855,f816]) ).
fof(f6686,plain,
( ~ sQ129_spl
| ~ sQ17_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f3495,f780,f767,f1195]) ).
fof(f6687,plain,
( ~ sQ135_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2807,f861,f1214]) ).
fof(f6695,plain,
( ~ sQ47_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3756,f760,f864]) ).
fof(f6700,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f6631,f829,f855]) ).
fof(f6701,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f6621,f786,f812]) ).
fof(f6702,plain,
( ~ sQ31_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f4548,f760,f812]) ).
fof(f6703,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f4354,f760,f747]) ).
fof(f6707,plain,
( ~ sQ142_spl
| ~ sQ135_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f2808,f848,f1214,f1237]) ).
fof(f6708,plain,
( ~ sQ51_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3683,f825,f877]) ).
fof(f6710,plain,
( ~ sQ82_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f5905,f1062,f1010]) ).
fof(f6716,plain,
( sQ139_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3709,f751,f1227]) ).
fof(f6720,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f878,f872]) ).
fof(f6721,plain,
( ~ sQ49_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6720,f216]) ).
fof(f6722,plain,
( ~ sQ49_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f6721]) ).
fof(f6724,plain,
( ~ sQ141_spl
| ~ sQ28_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3801,f829,f803,f1234]) ).
fof(f6725,plain,
( ~ sQ141_spl
| ~ sQ28_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f3803,f725,f803,f1234]) ).
fof(f6736,plain,
( ~ sQ105_spl
| ~ sQ223_spl
| h3(e12) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f4229,f203]) ).
fof(f6737,plain,
( ~ sQ105_spl
| ~ sQ223_spl
| h3(e12) != e21 ),
inference(forward_demodulation,[status(thm)],[f4236,f6736]) ).
fof(f6759,plain,
( sQ221_spl
| ~ sQ105_spl
| ~ sQ223_spl
| h3(e12) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f3942,f2891]) ).
fof(f6760,plain,
( sQ221_spl
| ~ sQ105_spl
| ~ sQ223_spl
| h3(e12) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f4229,f6759]) ).
fof(f6761,plain,
( sQ221_spl
| ~ sQ105_spl
| ~ sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6760]) ).
fof(f6762,plain,
( sQ221_spl
| ~ sQ105_spl
| ~ sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f6761]) ).
fof(f6767,plain,
( ~ sQ85_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f276,f1021]) ).
fof(f6768,plain,
( ~ sQ85_spl
| sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6767,f1702]) ).
fof(f6769,plain,
( ~ sQ85_spl
| sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f6768]) ).
fof(f6772,plain,
( ~ sQ273_spl
| h2(e12) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f1701,f3077]) ).
fof(f6773,plain,
( ~ sQ273_spl
| e21 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f1701,f276]) ).
fof(f6827,plain,
( ~ sQ2_spl
| e12 != op1(e10,e12) ),
inference(backward_demodulation,[status(thm)],[f719,f141]) ).
fof(f6830,plain,
( ~ sQ2_spl
| e12 != op1(e11,e10) ),
inference(backward_demodulation,[status(thm)],[f719,f116]) ).
fof(f6837,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f6827,f744,f718]) ).
fof(f6838,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f6830,f770,f718]) ).
fof(f6848,plain,
( ~ sQ105_spl
| ~ sQ223_spl
| ~ sQ286_spl ),
inference(split_clause,[status(thm)],[f6737,f1755,f1505,f1085]) ).
fof(f6853,plain,
( ~ sQ257_spl
| ~ sQ261_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1650,f1633]) ).
fof(f6854,plain,
( ~ sQ257_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6853,f218]) ).
fof(f6855,plain,
( ~ sQ257_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f6854]) ).
fof(f6962,plain,
( ~ sQ258_spl
| h1(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1637,f4429]) ).
fof(f6963,plain,
( ~ sQ258_spl
| ~ sQ261_spl
| h1(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f5947,f6962]) ).
fof(f6964,plain,
( ~ sQ258_spl
| ~ sQ261_spl
| sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6963,f1647]) ).
fof(f6965,plain,
( ~ sQ258_spl
| ~ sQ261_spl
| sQ260_spl ),
inference(contradiction_clause,[status(thm)],[f6964]) ).
fof(f7015,plain,
( ~ sQ145_spl
| ~ sQ261_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f5962,f1007,f1649,f1253]) ).
fof(f7149,plain,
( ~ sQ136_spl
| ~ sQ10_spl
| op1(e12,e10) = op1(e10,e12) ),
inference(forward_demodulation,[status(thm)],[f745,f1219]) ).
fof(f7150,plain,
( ~ sQ136_spl
| ~ sQ10_spl
| ~ sQ33_spl
| e11 = op1(e10,e12) ),
inference(forward_demodulation,[status(thm)],[f820,f7149]) ).
fof(f7151,plain,
( ~ sQ136_spl
| ~ sQ10_spl
| ~ sQ33_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f745,f7150]) ).
fof(f7152,plain,
( ~ sQ136_spl
| ~ sQ10_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7151,f215]) ).
fof(f7153,plain,
( ~ sQ136_spl
| ~ sQ10_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f7152]) ).
fof(f7157,plain,
( ~ sQ139_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f3423,f751,f1227]) ).
fof(f7158,plain,
( ~ sQ139_spl
| ~ sQ56_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3699,f712,f894,f1227]) ).
fof(f7159,plain,
( ~ sQ139_spl
| ~ sQ56_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3700,f803,f894,f1227]) ).
fof(f7178,plain,
( sQ191_spl
| ~ sQ26_spl
| ~ sQ273_spl
| h2(e12) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1701,f4656]) ).
fof(f7185,plain,
( sQ157_spl
| ~ sQ234_spl
| ~ sQ14_spl
| ~ sQ253_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f6357,f1062,f1602,f757,f1542,f1292]) ).
fof(f7200,plain,
( ~ sQ264_spl
| ~ sQ261_spl
| ~ sQ68_spl
| e22 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f966,f2950]) ).
fof(f7201,plain,
( ~ sQ264_spl
| ~ sQ261_spl
| ~ sQ68_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f5947,f7200]) ).
fof(f7202,plain,
( ~ sQ264_spl
| ~ sQ261_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7201,f221]) ).
fof(f7203,plain,
( ~ sQ264_spl
| ~ sQ261_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f7202]) ).
fof(f7216,plain,
( ~ sQ65_spl
| ~ sQ68_spl
| h1(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f966,f4513]) ).
fof(f7218,plain,
( ~ sQ132_spl
| ~ sQ5_spl
| op1(e11,e10) = op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f729,f1206]) ).
fof(f7219,plain,
( ~ sQ132_spl
| ~ sQ5_spl
| op1(e11,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f729,f7218]) ).
fof(f7222,plain,
( ~ sQ273_spl
| h2(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f6773,f6772]) ).
fof(f7223,plain,
( ~ sQ273_spl
| sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7222,f1706]) ).
fof(f7224,plain,
( ~ sQ273_spl
| sQ274_spl ),
inference(contradiction_clause,[status(thm)],[f7223]) ).
fof(f7225,plain,
( ~ sQ0_spl
| e10 != op1(e10,e12) ),
inference(forward_demodulation,[status(thm)],[f713,f141]) ).
fof(f7241,plain,
( sQ258_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f7216,f1638]) ).
fof(f7242,plain,
( sQ258_spl
| ~ sQ65_spl
| ~ sQ68_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7241]) ).
fof(f7243,plain,
( sQ258_spl
| ~ sQ65_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f7242]) ).
fof(f7277,plain,
( sQ191_spl
| ~ sQ26_spl
| ~ sQ273_spl
| e21 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f7222,f7178]) ).
fof(f7278,plain,
( sQ191_spl
| ~ sQ26_spl
| ~ sQ273_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7222,f7277]) ).
fof(f7279,plain,
( sQ191_spl
| ~ sQ26_spl
| ~ sQ273_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6773,f7278]) ).
fof(f7280,plain,
( sQ191_spl
| ~ sQ26_spl
| ~ sQ273_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7279]) ).
fof(f7281,plain,
( sQ191_spl
| ~ sQ26_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f7280]) ).
fof(f7312,plain,
( ~ sQ229_spl
| ~ sQ242_spl
| ~ sQ253_spl
| ~ sQ44_spl
| h3(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f4691,f4114]) ).
fof(f7313,plain,
( ~ sQ229_spl
| ~ sQ242_spl
| ~ sQ253_spl
| ~ sQ44_spl
| sQ280_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7312,f1732]) ).
fof(f7314,plain,
( ~ sQ229_spl
| ~ sQ242_spl
| ~ sQ253_spl
| ~ sQ44_spl
| sQ280_spl ),
inference(contradiction_clause,[status(thm)],[f7313]) ).
fof(f7364,plain,
( ~ sQ268_spl
| ~ sQ273_spl
| e20 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7222,f6057]) ).
fof(f7365,plain,
( ~ sQ268_spl
| ~ sQ273_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f6773,f7364]) ).
fof(f7366,plain,
( ~ sQ268_spl
| ~ sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7365,f218]) ).
fof(f7367,plain,
( ~ sQ268_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f7366]) ).
fof(f7369,plain,
( sQ196_spl
| ~ sQ44_spl
| ~ sQ273_spl
| h2(e10) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7222,f4553]) ).
fof(f7370,plain,
( sQ196_spl
| ~ sQ44_spl
| ~ sQ273_spl
| h2(e10) != e21 ),
inference(forward_demodulation,[status(thm)],[f6773,f7369]) ).
fof(f7371,plain,
( ~ sQ276_spl
| ~ sQ273_spl
| e22 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7222,f6301]) ).
fof(f7372,plain,
( ~ sQ276_spl
| ~ sQ273_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f6773,f7371]) ).
fof(f7373,plain,
( ~ sQ276_spl
| ~ sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7372,f221]) ).
fof(f7374,plain,
( ~ sQ276_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f7373]) ).
fof(f7375,plain,
( sQ188_spl
| ~ sQ14_spl
| h2(e12) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f758,f2427]) ).
fof(f7376,plain,
( sQ188_spl
| ~ sQ14_spl
| ~ sQ273_spl
| e21 != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f7222,f7375]) ).
fof(f7377,plain,
( sQ193_spl
| ~ sQ34_spl
| h2(e12) != op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f823,f1413]) ).
fof(f7378,plain,
( sQ193_spl
| ~ sQ34_spl
| ~ sQ273_spl
| e21 != op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f7222,f7377]) ).
fof(f7379,plain,
( sQ193_spl
| ~ sQ34_spl
| ~ sQ273_spl
| e21 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f7222,f7378]) ).
fof(f7380,plain,
( sQ187_spl
| ~ sQ11_spl
| h2(e13) != op2(h2(e10),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f748,f1395]) ).
fof(f7381,plain,
( sQ187_spl
| ~ sQ11_spl
| e21 != op2(h2(e10),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f274,f7380]) ).
fof(f7382,plain,
( sQ187_spl
| ~ sQ11_spl
| ~ sQ273_spl
| e21 != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f7222,f7381]) ).
fof(f7383,plain,
( ~ sQ273_spl
| h2(e10) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7222,f4336]) ).
fof(f7384,plain,
( ~ sQ273_spl
| h2(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f6773,f7383]) ).
fof(f7385,plain,
( ~ sQ273_spl
| sQ196_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7384,f7370]) ).
fof(f7386,plain,
( ~ sQ273_spl
| sQ196_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f7385]) ).
fof(f7396,plain,
( sQ193_spl
| ~ sQ34_spl
| ~ sQ273_spl
| e21 != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f7384,f7379]) ).
fof(f7399,plain,
( sQ193_spl
| ~ sQ34_spl
| ~ sQ273_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f7396,f1020,f1700,f822,f1411]) ).
fof(f7406,plain,
( sQ187_spl
| ~ sQ11_spl
| ~ sQ273_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7384,f7382]) ).
fof(f7407,plain,
( sQ187_spl
| ~ sQ11_spl
| ~ sQ273_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6773,f7406]) ).
fof(f7408,plain,
( sQ187_spl
| ~ sQ11_spl
| ~ sQ273_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7407]) ).
fof(f7409,plain,
( sQ187_spl
| ~ sQ11_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f7408]) ).
fof(f7410,plain,
( sQ188_spl
| ~ sQ14_spl
| ~ sQ273_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7384,f7376]) ).
fof(f7411,plain,
( sQ188_spl
| ~ sQ14_spl
| ~ sQ273_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6773,f7410]) ).
fof(f7412,plain,
( sQ188_spl
| ~ sQ14_spl
| ~ sQ273_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7411]) ).
fof(f7413,plain,
( sQ188_spl
| ~ sQ14_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f7412]) ).
fof(f7444,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f748,f739]) ).
fof(f7445,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7444,f214]) ).
fof(f7446,plain,
( ~ sQ8_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f7445]) ).
fof(f7448,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f7225,f738,f712]) ).
fof(f7534,plain,
( ~ sQ130_spl
| ~ sQ33_spl
| op1(e11,e12) = op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f820,f1199]) ).
fof(f7540,plain,
( ~ sQ130_spl
| ~ sQ33_spl
| op1(e11,e12) = e11 ),
inference(forward_demodulation,[status(thm)],[f820,f7534]) ).
fof(f7561,plain,
( ~ sQ137_spl
| ~ sQ130_spl
| ~ sQ33_spl
| op1(e11,e11) = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f7540,f1222]) ).
fof(f7562,plain,
( ~ sQ137_spl
| ~ sQ130_spl
| ~ sQ33_spl
| ~ sQ23_spl
| e13 = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f787,f7561]) ).
fof(f7563,plain,
( ~ sQ137_spl
| ~ sQ130_spl
| ~ sQ33_spl
| ~ sQ23_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f7540,f7562]) ).
fof(f7564,plain,
( ~ sQ137_spl
| ~ sQ130_spl
| ~ sQ33_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7563,f216]) ).
fof(f7565,plain,
( ~ sQ137_spl
| ~ sQ130_spl
| ~ sQ33_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f7564]) ).
fof(f7586,plain,
( ~ sQ137_spl
| ~ sQ25_spl
| op1(e11,e11) = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f794,f1222]) ).
fof(f7587,plain,
( ~ sQ137_spl
| ~ sQ25_spl
| ~ sQ23_spl
| e13 = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f787,f7586]) ).
fof(f7588,plain,
( ~ sQ137_spl
| ~ sQ25_spl
| ~ sQ23_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f794,f7587]) ).
fof(f7589,plain,
( ~ sQ137_spl
| ~ sQ25_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7588,f216]) ).
fof(f7590,plain,
( ~ sQ137_spl
| ~ sQ25_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f7589]) ).
fof(f7596,plain,
( ~ sQ138_spl
| ~ sQ43_spl
| op1(e13,e12) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f852,f1225]) ).
fof(f7597,plain,
( ~ sQ138_spl
| ~ sQ43_spl
| e10 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f2906,f7596]) ).
fof(f7598,plain,
( ~ sQ138_spl
| ~ sQ43_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f852,f7597]) ).
fof(f7599,plain,
( ~ sQ138_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7598,f214]) ).
fof(f7600,plain,
( ~ sQ138_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f7599]) ).
fof(f7619,plain,
( sQ189_spl
| ~ sQ16_spl
| ~ sQ273_spl
| e21 != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f7384,f4655]) ).
fof(f7620,plain,
( sQ189_spl
| ~ sQ16_spl
| ~ sQ273_spl
| e21 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1701,f7619]) ).
fof(f7621,plain,
( sQ189_spl
| ~ sQ16_spl
| ~ sQ273_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7384,f7620]) ).
fof(f7622,plain,
( sQ189_spl
| ~ sQ16_spl
| ~ sQ273_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6773,f7621]) ).
fof(f7623,plain,
( sQ189_spl
| ~ sQ16_spl
| ~ sQ273_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7622]) ).
fof(f7624,plain,
( sQ189_spl
| ~ sQ16_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f7623]) ).
fof(f7684,plain,
( ~ sQ132_spl
| ~ sQ5_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f7219,f767,f728,f1205]) ).
fof(f7687,plain,
( ~ sQ79_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f5896,f1052,f1000]) ).
fof(f7726,plain,
( ~ sQ64_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f3945,f1632,f952]) ).
fof(f7741,plain,
( ~ sQ281_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f2288,f1134,f1734]) ).
fof(f7761,plain,
( ~ sQ273_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f7384,f1696,f1700]) ).
fof(f7777,plain,
( ~ sQ153_spl
| ~ sQ74_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f5134,f1062,f984,f1279]) ).
fof(f7832,plain,
( sQ197_spl
| ~ sQ51_spl
| ~ sQ272_spl
| e21 != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f1697,f3671]) ).
fof(f7837,plain,
( sQ197_spl
| ~ sQ51_spl
| ~ sQ272_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f7832,f1020,f1696,f877,f1423]) ).
fof(f7870,plain,
( ~ sQ141_spl
| ~ sQ30_spl
| op1(op1(e11,e13),e11) = e12 ),
inference(backward_demodulation,[status(thm)],[f810,f1235]) ).
fof(f7874,plain,
( ~ sQ141_spl
| ~ sQ30_spl
| op1(e12,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f810,f7870]) ).
fof(f7881,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| op1(e13,e12) = op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f865,f1238]) ).
fof(f7882,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| e10 = op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f2906,f7881]) ).
fof(f7883,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f865,f7882]) ).
fof(f7884,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7883,f214]) ).
fof(f7885,plain,
( ~ sQ142_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f7884]) ).
fof(f7918,plain,
( ~ sQ141_spl
| ~ sQ30_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f7874,f835,f809,f1234]) ).
fof(f7976,plain,
$false,
inference(sat_refutation,[status(thm)],[f724,f737,f750,f763,f776,f789,f802,f815,f828,f841,f854,f867,f906,f921,f922,f923,f924,f925,f926,f929,f930,f931,f932,f934,f935,f937,f939,f940,f941,f942,f944,f945,f948,f949,f950,f951,f964,f977,f990,f1003,f1016,f1029,f1042,f1055,f1068,f1081,f1094,f1107,f1160,f1161,f1162,f1163,f1164,f1165,f1166,f1168,f1169,f1170,f1171,f1172,f1174,f1175,f1176,f1178,f1179,f1180,f1181,f1182,f1183,f1184,f1185,f1188,f1189,f1190,f1204,f1217,f1230,f1243,f1247,f1265,f1278,f1291,f1304,f1308,f1605,f1609,f1620,f1635,f1639,f1652,f1656,f1661,f1669,f1673,f1678,f1686,f1690,f1695,f1711,f1716,f1729,f1741,f1746,f1754,f1763,f1779,f1784,f1805,f1826,f1835,f1846,f1858,f1859,f1860,f1861,f1862,f1870,f1871,f1872,f1873,f1879,f1880,f1885,f1890,f1891,f1896,f1901,f1902,f1904,f1906,f1907,f1912,f1913,f1915,f1918,f1923,f1929,f1934,f1940,f1945,f1947,f1948,f1949,f1950,f1951,f1952,f1956,f1958,f1960,f1961,f1962,f1967,f1973,f1978,f1984,f1989,f1991,f1992,f1993,f1994,f1995,f2000,f2002,f2003,f2004,f2006,f2011,f2012,f2013,f2016,f2017,f2022,f2023,f2024,f2026,f2028,f2033,f2034,f2035,f2036,f2037,f2038,f2039,f2044,f2045,f2046,f2048,f2049,f2050,f2055,f2061,f2062,f2066,f2073,f2077,f2078,f2079,f2080,f2081,f2082,f2083,f2088,f2099,f2100,f2101,f2102,f2103,f2104,f2105,f2110,f2111,f2112,f2113,f2114,f2118,f2119,f2121,f2122,f2123,f2125,f2126,f2128,f2129,f2135,f2173,f2180,f2197,f2201,f2204,f2209,f2212,f2231,f2253,f2270,f2273,f2295,f2313,f2317,f2322,f2328,f2335,f2339,f2343,f2421,f2434,f2455,f2456,f2459,f2467,f2491,f2494,f2499,f2520,f2521,f2535,f2538,f2544,f2548,f2558,f2562,f2589,f2592,f2596,f2602,f2609,f2614,f2617,f2630,f2641,f2647,f2664,f2739,f2775,f2776,f2779,f2798,f2832,f2858,f2862,f2868,f2869,f2872,f2879,f2888,f2897,f2900,f2909,f2912,f2920,f2931,f2937,f2940,f2948,f2957,f2963,f2967,f2984,f2997,f2998,f3001,f3017,f3021,f3022,f3026,f3037,f3040,f3044,f3050,f3055,f3058,f3075,f3076,f3079,f3105,f3107,f3112,f3114,f3133,f3143,f3145,f3148,f3150,f3152,f3176,f3182,f3206,f3209,f3238,f3240,f3252,f3254,f3258,f3269,f3283,f3286,f3297,f3303,f3321,f3322,f3324,f3326,f3327,f3346,f3349,f3359,f3367,f3368,f3395,f3396,f3400,f3402,f3406,f3407,f3414,f3434,f3435,f3445,f3448,f3453,f3454,f3466,f3467,f3468,f3474,f3478,f3481,f3482,f3493,f3494,f3511,f3529,f3538,f3558,f3563,f3566,f3578,f3610,f3618,f3621,f3624,f3631,f3635,f3658,f3660,f3664,f3665,f3676,f3701,f3704,f3705,f3717,f3725,f3726,f3727,f3729,f3731,f3778,f3836,f3845,f3848,f3860,f3867,f3872,f3883,f3941,f3944,f3949,f3963,f3976,f3977,f3985,f3989,f3991,f3994,f3996,f3999,f4007,f4011,f4022,f4044,f4063,f4083,f4084,f4085,f4117,f4134,f4148,f4170,f4173,f4178,f4187,f4197,f4209,f4237,f4241,f4243,f4269,f4275,f4338,f4368,f4389,f4401,f4413,f4414,f4415,f4421,f4434,f4437,f4442,f4523,f4564,f4607,f4628,f4629,f4632,f4635,f4663,f4675,f4682,f4685,f4702,f4703,f4762,f4784,f4794,f4806,f4819,f4850,f4856,f4862,f4912,f4913,f4931,f4940,f4944,f4945,f4969,f4971,f4972,f5028,f5068,f5100,f5118,f5136,f5137,f5138,f5141,f5154,f5216,f5225,f5231,f5245,f5254,f5263,f5286,f5295,f5299,f5336,f5354,f5368,f5371,f5387,f5465,f5472,f5474,f5477,f5478,f5482,f5517,f5522,f5529,f5532,f5567,f5572,f5581,f5591,f5601,f5614,f5621,f5636,f5646,f5671,f5685,f5691,f5694,f5697,f5717,f5722,f5726,f5743,f5779,f5823,f5851,f5856,f5877,f5900,f5910,f5961,f5965,f6007,f6008,f6026,f6034,f6073,f6082,f6090,f6094,f6097,f6098,f6102,f6105,f6121,f6123,f6135,f6167,f6171,f6174,f6182,f6189,f6253,f6257,f6279,f6349,f6411,f6415,f6618,f6624,f6626,f6632,f6633,f6634,f6635,f6636,f6639,f6653,f6656,f6660,f6677,f6678,f6686,f6687,f6695,f6700,f6701,f6702,f6703,f6707,f6708,f6710,f6716,f6722,f6724,f6725,f6762,f6769,f6837,f6838,f6848,f6855,f6965,f7015,f7153,f7157,f7158,f7159,f7185,f7203,f7224,f7243,f7281,f7314,f7367,f7374,f7386,f7399,f7409,f7413,f7446,f7448,f7565,f7590,f7600,f7624,f7684,f7687,f7726,f7741,f7761,f7777,f7837,f7885,f7918]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG122+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n018.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 12:59:44 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.37 % Drodi V4.1.1
% 11.13/1.87 % Refutation found
% 11.13/1.87 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.13/1.87 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.13/1.89 % Elapsed time: 1.541554 seconds
% 11.13/1.89 % CPU time: 11.694659 seconds
% 11.13/1.89 % Total memory used: 227.179 MB
% 11.13/1.89 % Net memory used: 224.908 MB
%------------------------------------------------------------------------------