%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG126+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 11:48:20 AM UTC 2026
% Result : Theorem 2.43s 0.80s
% Output : CNFRefutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 473
% Syntax : Number of formulae : 2308 ( 195 unt; 456 def)
% Number of atoms : 11134 (6950 equ)
% Maximal formula atoms : 208 ( 4 avg)
% Number of connectives : 14765 (5939 ~;5436 |;2866 &)
% ( 524 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 458 ( 456 usr; 457 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) )
& ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& op1(e13,op1(e13,e13)) = e13
& op1(e13,op1(e13,e12)) = e12
& op1(e13,op1(e13,e11)) = e11
& op1(e13,op1(e13,e10)) = e10 )
| ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& op1(e12,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e10)) = e10 )
| ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& op1(e11,op1(e11,e13)) = e13
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e10)) = e10 )
| ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& op1(e10,op1(e10,e13)) = e13
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) )
& ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& op2(e23,op2(e23,e23)) = e23
& op2(e23,op2(e23,e22)) = e22
& op2(e23,op2(e23,e21)) = e21
& op2(e23,op2(e23,e20)) = e20 )
| ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& op2(e22,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e20)) = e20 )
| ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& op2(e21,op2(e21,e23)) = e23
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e20)) = e20 )
| ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& op2(e20,op2(e20,e23)) = e23
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e13 = op1(op1(e11,e11),op1(e11,e11))
& e12 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11))
& e10 = op1(e11,e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e23 = op2(op2(e21,e21),op2(e21,e21))
& e22 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& e20 = op2(e21,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e10) = op2(e20,e20)
& h1(e11) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e10) = op2(e21,e21)
& h2(e11) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e10) = op2(e22,e22)
& h3(e11) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e10) = op2(e23,e23)
& h4(e11) = e23 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f21,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(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(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(f33,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f46,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f54,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = 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(f59,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(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(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(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(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(f81,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f87,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f88,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(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(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(f107,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f108,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f110,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(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(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(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(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(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
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(f158,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f168,plain,
op2(e21,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(f177,plain,
op2(e20,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(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(f194,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f196,plain,
op2(e21,e20) != op2(e21,e23),
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(f202,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f205,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f210,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& op1(e12,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e10)) = e10 )
| ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& op1(e11,op1(e11,e13)) = e13
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e10)) = e10 )
| ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& op1(e10,op1(e10,e13)) = e13
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,definition,
( sP1_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f242,plain,
( ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| sP1_prd )
& ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& op1(e13,op1(e13,e13)) = e13
& op1(e13,op1(e13,e12)) = e12
& op1(e13,op1(e13,e11)) = e11
& op1(e13,op1(e13,e10)) = e10 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f10,f241,f240]) ).
fof(f243,plain,
( op1(e13,op1(e13,e10)) = e10
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f247,plain,
( op1(e10,e13) = e10
| op1(e10,e10) != e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f251,plain,
( op1(e13,e13) = e13
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f256,plain,
( op1(e13,e13) != e13
| op1(e13,e13) != e13
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f257,definition,
( sP2_prd
<=> ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& op2(e22,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e20)) = e20 )
| ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& op2(e21,op2(e21,e23)) = e23
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e20)) = e20 )
| ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& op2(e20,op2(e20,e23)) = e23
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f258,definition,
( sP3_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f259,plain,
( ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| sP3_prd )
& ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& op2(e23,op2(e23,e23)) = e23
& op2(e23,op2(e23,e22)) = e22
& op2(e23,op2(e23,e21)) = e21
& op2(e23,op2(e23,e20)) = e20 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f11,f258,f257]) ).
fof(f260,plain,
( op2(e23,op2(e23,e20)) = e20
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f264,plain,
( op2(e20,e23) = e20
| op2(e20,e20) != e23
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f266,plain,
( op2(e22,e23) = e22
| op2(e22,e22) != e23
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f268,plain,
( op2(e23,e23) = e23
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f271,plain,
( op2(e23,e23) != e21
| op2(e23,e21) != e23
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f273,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != e23
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f274,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f275,plain,
e12 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f276,plain,
e13 = op1(op1(e11,e11),op1(e11,e11)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f277,plain,
e20 = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f278,plain,
e22 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f279,plain,
e23 = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f280,plain,
h1(e11) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f281,plain,
h1(e10) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f283,plain,
h1(e13) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f284,plain,
h2(e11) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f285,plain,
h2(e10) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f286,plain,
h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f287,plain,
h2(e13) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f288,plain,
h3(e11) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f289,plain,
h3(e10) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f291,plain,
h3(e13) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f292,plain,
h4(e11) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f293,plain,
h4(e10) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f294,plain,
h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f295,plain,
h4(e13) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f296,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(f297,definition,
( sP4_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f298,definition,
( sP5_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f299,definition,
( sP6_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f300,definition,
( sP7_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f301,definition,
( sP8_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f302,definition,
( sP9_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f303,definition,
( sP10_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f304,definition,
( sP11_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f305,definition,
( sP12_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f306,definition,
( sP13_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f307,definition,
( sP14_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f308,definition,
( sP15_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f309,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP15_prd
| sP14_prd
| sP13_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| sP12_prd
| sP11_prd
| sP10_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| sP9_prd
| sP8_prd
| sP7_prd
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| sP6_prd
| sP5_prd
| sP4_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(formula_renaming,[status(thm)],[f296,f308,f307,f306,f305,f304,f303,f302,f301,f300,f299,f298,f297]) ).
fof(f317,plain,
( h2(e13) != e23
| sP9_prd
| sP8_prd
| sP7_prd
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[status(thm)],[f309]) ).
fof(f326,definition,
( sP16_prd
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& op1(e11,op1(e11,e13)) = e13
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e10)) = e10 )
| ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& op1(e10,op1(e10,e13)) = e13
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f327,plain,
( sP0_prd
<=> ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& op1(e12,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e10)) = e10 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f326]) ).
fof(f328,definition,
( sP17_prd
<=> ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f329,definition,
( sP18_prd
<=> ( op1(e11,e12) = e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f330,plain,
( sP0_prd
<=> ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP18_prd
& sP17_prd
& op1(e12,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e10)) = e10 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f327,f329,f328]) ).
fof(f331,plain,
( ( ( ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ~ sP18_prd
| ~ sP17_prd
| op1(e12,op1(e12,e13)) != e13
| op1(e12,op1(e12,e12)) != e12
| op1(e12,op1(e12,e11)) != e11
| op1(e12,op1(e12,e10)) != e10 )
& ~ sP16_prd )
| sP0_prd )
& ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP18_prd
& sP17_prd
& op1(e12,op1(e12,e13)) = e13
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e10)) = e10 )
| sP16_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f330]) ).
fof(f332,plain,
( op1(e12,op1(e12,e10)) = e10
| sP16_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f331]) ).
fof(f333,plain,
( op1(e12,op1(e12,e11)) = e11
| sP16_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f331]) ).
fof(f334,plain,
( op1(e12,op1(e12,e12)) = e12
| sP16_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f331]) ).
fof(f335,plain,
( op1(e12,op1(e12,e13)) = e13
| sP16_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f331]) ).
fof(f345,definition,
( sP19_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f346,plain,
( sP1_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f241,f345]) ).
fof(f347,definition,
( sP20_prd
<=> ( op1(e12,e12) != e10
| op1(e12,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f348,definition,
( sP21_prd
<=> ( op1(e12,e12) != e11
| op1(e12,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f349,plain,
( sP1_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP21_prd
& sP20_prd
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f346,f348,f347]) ).
fof(f350,plain,
( ( ( ( ( op1(e12,e12) = e13
& op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP21_prd
| ~ sP20_prd
| op1(e12,e13) != e13
| op1(e13,e12) != e13 )
& ~ sP19_prd )
| sP1_prd )
& ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP21_prd
& sP20_prd
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| sP19_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f349]) ).
fof(f351,plain,
( op1(e13,e12) = e13
| sP19_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f352,plain,
( op1(e12,e13) = e13
| sP19_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f354,plain,
( sP21_prd
| sP19_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f355,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e12
| sP19_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f357,plain,
( ~ sP19_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f362,definition,
( sP22_prd
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& op2(e21,op2(e21,e23)) = e23
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e20)) = e20 )
| ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& op2(e20,op2(e20,e23)) = e23
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f363,plain,
( sP2_prd
<=> ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& op2(e22,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e20)) = e20 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f257,f362]) ).
fof(f364,definition,
( sP23_prd
<=> ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f365,definition,
( sP24_prd
<=> ( op2(e21,e22) = e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f366,plain,
( sP2_prd
<=> ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP24_prd
& sP23_prd
& op2(e22,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e20)) = e20 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f363,f365,f364]) ).
fof(f367,plain,
( ( ( ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ~ sP24_prd
| ~ sP23_prd
| op2(e22,op2(e22,e23)) != e23
| op2(e22,op2(e22,e22)) != e22
| op2(e22,op2(e22,e21)) != e21
| op2(e22,op2(e22,e20)) != e20 )
& ~ sP22_prd )
| sP2_prd )
& ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP24_prd
& sP23_prd
& op2(e22,op2(e22,e23)) = e23
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e20)) = e20 )
| sP22_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f366]) ).
fof(f370,plain,
( op2(e22,op2(e22,e22)) = e22
| sP22_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f367]) ).
fof(f381,definition,
( sP25_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f382,plain,
( sP3_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f258,f381]) ).
fof(f383,definition,
( sP26_prd
<=> ( op2(e22,e22) != e20
| op2(e22,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f384,definition,
( sP27_prd
<=> ( op2(e22,e22) != e21
| op2(e22,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f385,plain,
( sP3_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP27_prd
& sP26_prd
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f382,f384,f383]) ).
fof(f386,plain,
( ( ( ( ( op2(e22,e22) = e23
& op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP27_prd
| ~ sP26_prd
| op2(e22,e23) != e23
| op2(e23,e22) != e23 )
& ~ sP25_prd )
| sP3_prd )
& ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP27_prd
& sP26_prd
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| sP25_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f385]) ).
fof(f387,plain,
( op2(e23,e22) = e23
| sP25_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f390,plain,
( sP27_prd
| sP25_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f391,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e22
| sP25_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f393,plain,
( ~ sP25_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f398,plain,
( ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20
| sP4_prd )
& ( ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f297]) ).
fof(f400,plain,
( h1(e11) != e20
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f416,plain,
( ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP7_prd )
& ( ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f300]) ).
fof(f417,plain,
( h2(e10) != e20
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,plain,
( ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP8_prd )
& ( ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f301]) ).
fof(f424,plain,
( h2(e11) != e21
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f428,plain,
( ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP9_prd )
& ( ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f302]) ).
fof(f431,plain,
( h2(e12) != e22
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f434,plain,
( ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP10_prd )
& ( ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f303]) ).
fof(f438,plain,
( h3(e13) != e20
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f440,plain,
( ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP11_prd )
& ( ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f304]) ).
fof(f441,plain,
( h3(e10) != e21
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f440]) ).
fof(f446,plain,
( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP12_prd )
& ( ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f305]) ).
fof(f448,plain,
( h3(e11) != e22
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f452,plain,
( ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP13_prd )
& ( ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f306]) ).
fof(f453,plain,
( h4(e10) != e20
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f464,plain,
( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP15_prd )
& ( ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f308]) ).
fof(f467,plain,
( h4(e12) != e22
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f470,definition,
( sP28_prd
<=> ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& op1(e10,op1(e10,e13)) = e13
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f471,plain,
( sP16_prd
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& op1(e11,op1(e11,e13)) = e13
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e10)) = e10 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f326,f470]) ).
fof(f472,definition,
( sP29_prd
<=> ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f473,definition,
( sP30_prd
<=> ( op1(e11,e11) = e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f474,plain,
( sP16_prd
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP30_prd
& sP29_prd
& op1(e11,op1(e11,e13)) = e13
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e10)) = e10 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f471,f473,f472]) ).
fof(f475,plain,
( ( ( ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ~ sP30_prd
| ~ sP29_prd
| op1(e11,op1(e11,e13)) != e13
| op1(e11,op1(e11,e12)) != e12
| op1(e11,op1(e11,e11)) != e11
| op1(e11,op1(e11,e10)) != e10 )
& ~ sP28_prd )
| sP16_prd )
& ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP30_prd
& sP29_prd
& op1(e11,op1(e11,e13)) = e13
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e10)) = e10 )
| sP28_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f474]) ).
fof(f476,plain,
( op1(e11,op1(e11,e10)) = e10
| sP28_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f478,plain,
( op1(e11,op1(e11,e12)) = e12
| sP28_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f479,plain,
( op1(e11,op1(e11,e13)) = e13
| sP28_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f482,plain,
( op1(e12,e11) = e12
| op1(e12,e12) != e11
| sP28_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f483,plain,
( op1(e13,e11) = e13
| op1(e13,e13) != e11
| sP28_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f475]) ).
fof(f489,plain,
( ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| sP17_prd )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f328]) ).
fof(f491,plain,
( op1(e10,e10) = e12
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f493,plain,
( ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| sP18_prd )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f329]) ).
fof(f495,plain,
( op1(e11,e11) = e12
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f493]) ).
fof(f497,definition,
( sP31_prd
<=> ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f498,plain,
( sP19_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f345,f497]) ).
fof(f499,definition,
( sP32_prd
<=> ( op1(e11,e11) != e10
| op1(e11,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f500,definition,
( sP33_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f501,plain,
( sP19_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP33_prd
& sP32_prd
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f498,f500,f499]) ).
fof(f502,plain,
( ( ( ( ( op1(e11,e11) = e13
& op1(e11,e13) = e11 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11 )
| ~ sP33_prd
| ~ sP32_prd
| op1(e11,e13) != e13
| op1(e13,e11) != e13 )
& ~ sP31_prd )
| sP19_prd )
& ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP33_prd
& sP32_prd
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| sP31_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f501]) ).
fof(f503,plain,
( op1(e13,e11) = e13
| sP31_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f502]) ).
fof(f504,plain,
( op1(e11,e13) = e13
| sP31_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f502]) ).
fof(f505,plain,
( sP32_prd
| sP31_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f502]) ).
fof(f509,plain,
( ~ sP31_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f502]) ).
fof(f514,plain,
( ( ( op1(e12,e12) = e10
& op1(e12,e10) = e12 )
| sP20_prd )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f347]) ).
fof(f516,plain,
( op1(e12,e10) = e12
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f514]) ).
fof(f518,plain,
( ( ( op1(e12,e12) = e11
& op1(e12,e11) = e12 )
| sP21_prd )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f348]) ).
fof(f519,plain,
( op1(e12,e12) != e11
| op1(e12,e11) != e12
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f520,plain,
( op1(e12,e11) = e12
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f521,plain,
( op1(e12,e12) = e11
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f522,definition,
( sP34_prd
<=> ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& op2(e20,op2(e20,e23)) = e23
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f523,plain,
( sP22_prd
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& op2(e21,op2(e21,e23)) = e23
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e20)) = e20 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f362,f522]) ).
fof(f524,definition,
( sP35_prd
<=> ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f525,definition,
( sP36_prd
<=> ( op2(e21,e21) = e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f526,plain,
( sP22_prd
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP36_prd
& sP35_prd
& op2(e21,op2(e21,e23)) = e23
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e20)) = e20 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f523,f525,f524]) ).
fof(f527,plain,
( ( ( ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ~ sP36_prd
| ~ sP35_prd
| op2(e21,op2(e21,e23)) != e23
| op2(e21,op2(e21,e22)) != e22
| op2(e21,op2(e21,e21)) != e21
| op2(e21,op2(e21,e20)) != e20 )
& ~ sP34_prd )
| sP22_prd )
& ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP36_prd
& sP35_prd
& op2(e21,op2(e21,e23)) = e23
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e20)) = e20 )
| sP34_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f526]) ).
fof(f530,plain,
( op2(e21,op2(e21,e22)) = e22
| sP34_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f531,plain,
( op2(e21,op2(e21,e23)) = e23
| sP34_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f534,plain,
( op2(e22,e21) = e22
| op2(e22,e22) != e21
| sP34_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f541,plain,
( ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| sP23_prd )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f364]) ).
fof(f543,plain,
( op2(e20,e20) = e22
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f545,plain,
( ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| sP24_prd )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f365]) ).
fof(f547,plain,
( op2(e21,e21) = e22
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f549,definition,
( sP37_prd
<=> ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f550,plain,
( sP25_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f381,f549]) ).
fof(f551,definition,
( sP38_prd
<=> ( op2(e21,e21) != e20
| op2(e21,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f552,definition,
( sP39_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f553,plain,
( sP25_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP39_prd
& sP38_prd
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f550,f552,f551]) ).
fof(f554,plain,
( ( ( ( ( op2(e21,e21) = e23
& op2(e21,e23) = e21 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21 )
| ~ sP39_prd
| ~ sP38_prd
| op2(e21,e23) != e23
| op2(e23,e21) != e23 )
& ~ sP37_prd )
| sP25_prd )
& ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP39_prd
& sP38_prd
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| sP37_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f553]) ).
fof(f555,plain,
( op2(e23,e21) = e23
| sP37_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f556,plain,
( op2(e21,e23) = e23
| sP37_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f557,plain,
( sP38_prd
| sP37_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f561,plain,
( ~ sP37_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f554]) ).
fof(f566,plain,
( ( ( op2(e22,e22) = e20
& op2(e22,e20) = e22 )
| sP26_prd )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f383]) ).
fof(f568,plain,
( op2(e22,e20) = e22
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f570,plain,
( ( ( op2(e22,e22) = e21
& op2(e22,e21) = e22 )
| sP27_prd )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f384]) ).
fof(f571,plain,
( op2(e22,e22) != e21
| op2(e22,e21) != e22
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f570]) ).
fof(f573,plain,
( op2(e22,e22) = e21
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f570]) ).
fof(f574,definition,
( sP40_prd
<=> ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f575,definition,
( sP41_prd
<=> ( op1(e11,e10) = e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f576,plain,
( sP28_prd
<=> ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP41_prd
& sP40_prd
& op1(e10,op1(e10,e13)) = e13
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 ) ),
inference(formula_renaming,[status(thm)],[f470,f575,f574]) ).
fof(f577,plain,
( ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ~ sP41_prd
| ~ sP40_prd
| op1(e10,op1(e10,e13)) != e13
| op1(e10,op1(e10,e12)) != e12
| op1(e10,op1(e10,e11)) != e11
| op1(e10,op1(e10,e10)) != e10
| sP28_prd )
& ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP41_prd
& sP40_prd
& op1(e10,op1(e10,e13)) = e13
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e10)) = e10 )
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f576]) ).
fof(f578,plain,
( op1(e10,op1(e10,e10)) = e10
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f580,plain,
( op1(e10,op1(e10,e12)) = e12
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f583,plain,
( sP41_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f585,plain,
( op1(e13,e10) = e13
| op1(e13,e13) != e10
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f590,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| sP29_prd )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f472]) ).
fof(f592,plain,
( op1(e10,e10) = e11
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f594,plain,
( ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP30_prd )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f473]) ).
fof(f596,plain,
( op1(e11,e11) = e11
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f594]) ).
fof(f598,definition,
( sP42_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f599,plain,
( sP31_prd
<=> ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f497,f598]) ).
fof(f600,definition,
( sP43_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f601,definition,
( sP44_prd
<=> ( op1(e10,e10) != e11
| op1(e10,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f602,plain,
( sP31_prd
<=> ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP44_prd
& sP43_prd
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f599,f601,f600]) ).
fof(f603,plain,
( ( ( ( ( op1(e10,e10) = e13
& op1(e10,e13) = e10 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10 )
| ~ sP44_prd
| ~ sP43_prd
| op1(e10,e13) != e13
| op1(e13,e10) != e13 )
& ~ sP42_prd )
| sP31_prd )
& ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP44_prd
& sP43_prd
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| sP42_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f602]) ).
fof(f604,plain,
( op1(e13,e10) = e13
| sP42_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f603]) ).
fof(f610,plain,
( ~ sP42_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f603]) ).
fof(f615,plain,
( ( ( op1(e11,e11) = e10
& op1(e11,e10) = e11 )
| sP32_prd )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f499]) ).
fof(f616,plain,
( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f617,plain,
( op1(e11,e10) = e11
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f619,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP33_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f500]) ).
fof(f621,plain,
( op1(e11,e11) = e11
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f623,definition,
( sP45_prd
<=> ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f624,definition,
( sP46_prd
<=> ( op2(e21,e20) = e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f625,plain,
( sP34_prd
<=> ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP46_prd
& sP45_prd
& op2(e20,op2(e20,e23)) = e23
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 ) ),
inference(formula_renaming,[status(thm)],[f522,f624,f623]) ).
fof(f626,plain,
( ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ~ sP46_prd
| ~ sP45_prd
| op2(e20,op2(e20,e23)) != e23
| op2(e20,op2(e20,e22)) != e22
| op2(e20,op2(e20,e21)) != e21
| op2(e20,op2(e20,e20)) != e20
| sP34_prd )
& ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP46_prd
& sP45_prd
& op2(e20,op2(e20,e23)) = e23
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e20)) = e20 )
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f625]) ).
fof(f627,plain,
( op2(e20,op2(e20,e20)) = e20
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f634,plain,
( op2(e23,e20) = e23
| op2(e23,e23) != e20
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f639,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| sP35_prd )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f524]) ).
fof(f641,plain,
( op2(e20,e20) = e21
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f639]) ).
fof(f643,plain,
( ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP36_prd )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f525]) ).
fof(f645,plain,
( op2(e21,e21) = e21
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f643]) ).
fof(f647,definition,
( sP47_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f648,plain,
( sP37_prd
<=> ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f549,f647]) ).
fof(f649,definition,
( sP48_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f650,definition,
( sP49_prd
<=> ( op2(e20,e20) != e21
| op2(e20,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f651,plain,
( sP37_prd
<=> ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP49_prd
& sP48_prd
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f648,f650,f649]) ).
fof(f652,plain,
( ( ( ( ( op2(e20,e20) = e23
& op2(e20,e23) = e20 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20 )
| ~ sP49_prd
| ~ sP48_prd
| op2(e20,e23) != e23
| op2(e23,e20) != e23 )
& ~ sP47_prd )
| sP37_prd )
& ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP49_prd
& sP48_prd
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| sP47_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f651]) ).
fof(f653,plain,
( op2(e23,e20) = e23
| sP47_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f652]) ).
fof(f659,plain,
( ~ sP47_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f652]) ).
fof(f664,plain,
( ( ( op2(e21,e21) = e20
& op2(e21,e20) = e21 )
| sP38_prd )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f551]) ).
fof(f665,plain,
( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f664]) ).
fof(f668,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP39_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f552]) ).
fof(f670,plain,
( op2(e21,e21) = e21
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f668]) ).
fof(f672,plain,
( ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP40_prd )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f574]) ).
fof(f674,plain,
( op1(e10,e10) = e10
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f672]) ).
fof(f676,plain,
( ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| sP41_prd )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f575]) ).
fof(f677,plain,
( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f679,plain,
( op1(e11,e10) != e11
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f680,definition,
( sP50_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f681,plain,
( sP42_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f598,f680]) ).
fof(f682,definition,
( sP51_prd
<=> ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f683,definition,
( sP52_prd
<=> ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f684,plain,
( sP42_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& sP52_prd
& sP51_prd
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f681,f683,f682]) ).
fof(f685,plain,
( ( ( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12
& op1(e13,e12) = e13 )
| ~ sP52_prd
| ~ sP51_prd
| op1(e13,e12) != e12
| op1(e12,e13) != e12 )
& ~ sP50_prd )
| sP42_prd )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& sP52_prd
& sP51_prd
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| sP50_prd
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f684]) ).
fof(f687,plain,
( op1(e13,e12) = e12
| sP50_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f685]) ).
fof(f692,plain,
( ~ sP50_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f685]) ).
fof(f697,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP43_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f600]) ).
fof(f699,plain,
( op1(e10,e10) = e10
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f697]) ).
fof(f701,plain,
( ( ( op1(e10,e10) = e11
& op1(e10,e11) = e10 )
| sP44_prd )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f601]) ).
fof(f704,plain,
( op1(e10,e10) = e11
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f701]) ).
fof(f705,plain,
( ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP45_prd )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f623]) ).
fof(f707,plain,
( op2(e20,e20) = e20
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f705]) ).
fof(f709,plain,
( ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| sP46_prd )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f624]) ).
fof(f712,plain,
( op2(e21,e20) != e21
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f709]) ).
fof(f713,definition,
( sP53_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f714,plain,
( sP47_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f647,f713]) ).
fof(f715,definition,
( sP54_prd
<=> ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f716,definition,
( sP55_prd
<=> ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f717,plain,
( sP47_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& sP55_prd
& sP54_prd
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f714,f716,f715]) ).
fof(f718,plain,
( ( ( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e23) = e22
& op2(e23,e22) = e23 )
| ~ sP55_prd
| ~ sP54_prd
| op2(e23,e22) != e22
| op2(e22,e23) != e22 )
& ~ sP53_prd )
| sP47_prd )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& sP55_prd
& sP54_prd
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| sP53_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f717]) ).
fof(f719,plain,
( op2(e22,e23) = e22
| sP53_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f718]) ).
fof(f720,plain,
( op2(e23,e22) = e22
| sP53_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f718]) ).
fof(f725,plain,
( ~ sP53_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f718]) ).
fof(f730,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP48_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f649]) ).
fof(f732,plain,
( op2(e20,e20) = e20
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f730]) ).
fof(f734,plain,
( ( ( op2(e20,e20) = e21
& op2(e20,e21) = e20 )
| sP49_prd )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f650]) ).
fof(f737,plain,
( op2(e20,e20) = e21
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f738,definition,
( sP56_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f739,plain,
( sP50_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f680,f738]) ).
fof(f740,definition,
( sP57_prd
<=> ( op1(e12,e12) != e10
| op1(e12,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f741,definition,
( sP58_prd
<=> ( op1(e12,e12) != e11
| op1(e12,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f742,plain,
( sP50_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP58_prd
& sP57_prd
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f739,f741,f740]) ).
fof(f743,plain,
( ( ( ( ( op1(e12,e12) = e13
& op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP58_prd
| ~ sP57_prd
| op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ~ sP56_prd )
| sP50_prd )
& ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP58_prd
& sP57_prd
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| sP56_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f742]) ).
fof(f744,plain,
( op1(e12,e12) = e12
| sP56_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f748,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e12
| sP56_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f750,plain,
( ~ sP56_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f755,plain,
( ( ( op1(e13,e13) = e10
& op1(e13,e10) = e13 )
| sP51_prd )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f682]) ).
fof(f757,plain,
( op1(e13,e10) = e13
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f755]) ).
fof(f759,plain,
( ( ( op1(e13,e13) = e11
& op1(e13,e11) = e13 )
| sP52_prd )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f683]) ).
fof(f761,plain,
( op1(e13,e11) = e13
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f759]) ).
fof(f762,plain,
( op1(e13,e13) = e11
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f759]) ).
fof(f763,definition,
( sP59_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f764,plain,
( sP53_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f713,f763]) ).
fof(f765,definition,
( sP60_prd
<=> ( op2(e22,e22) != e20
| op2(e22,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f766,definition,
( sP61_prd
<=> ( op2(e22,e22) != e21
| op2(e22,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f767,plain,
( sP53_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP61_prd
& sP60_prd
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f764,f766,f765]) ).
fof(f768,plain,
( ( ( ( ( op2(e22,e22) = e23
& op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP61_prd
| ~ sP60_prd
| op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ~ sP59_prd )
| sP53_prd )
& ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP61_prd
& sP60_prd
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| sP59_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f767]) ).
fof(f769,plain,
( op2(e22,e22) = e22
| sP59_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f768]) ).
fof(f773,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e22
| sP59_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f768]) ).
fof(f775,plain,
( ~ sP59_prd
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f768]) ).
fof(f780,plain,
( ( ( op2(e23,e23) = e20
& op2(e23,e20) = e23 )
| sP54_prd )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f715]) ).
fof(f782,plain,
( op2(e23,e20) = e23
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f780]) ).
fof(f784,plain,
( ( ( op2(e23,e23) = e21
& op2(e23,e21) = e23 )
| sP55_prd )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f716]) ).
fof(f785,plain,
( op2(e23,e23) != e21
| op2(e23,e21) != e23
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f784]) ).
fof(f786,plain,
( op2(e23,e21) = e23
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f784]) ).
fof(f788,definition,
( sP62_prd
<=> ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f789,plain,
( sP56_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f738,f788]) ).
fof(f790,definition,
( sP63_prd
<=> ( op1(e11,e11) != e10
| op1(e11,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f791,definition,
( sP64_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f792,plain,
( sP56_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP64_prd
& sP63_prd
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f789,f791,f790]) ).
fof(f793,plain,
( ( ( ( ( op1(e11,e11) = e13
& op1(e11,e13) = e11 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11 )
| ~ sP64_prd
| ~ sP63_prd
| op1(e11,e12) != e12
| op1(e12,e11) != e12 )
& ~ sP62_prd )
| sP56_prd )
& ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP64_prd
& sP63_prd
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| sP62_prd
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f792]) ).
fof(f794,plain,
( op1(e12,e11) = e12
| sP62_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f793]) ).
fof(f795,plain,
( op1(e11,e12) = e12
| sP62_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f793]) ).
fof(f796,plain,
( sP63_prd
| sP62_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f793]) ).
fof(f800,plain,
( ~ sP62_prd
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f793]) ).
fof(f804,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| ~ sP64_prd
| ~ sP63_prd
| op1(e11,e12) != e12
| op1(e12,e11) != e12
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f793]) ).
fof(f805,plain,
( ( ( op1(e12,e12) = e10
& op1(e12,e10) = e12 )
| sP57_prd )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f740]) ).
fof(f807,plain,
( op1(e12,e10) = e12
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f805]) ).
fof(f809,plain,
( ( ( op1(e12,e12) = e11
& op1(e12,e11) = e12 )
| sP58_prd )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f741]) ).
fof(f811,plain,
( op1(e12,e11) = e12
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f809]) ).
fof(f812,plain,
( op1(e12,e12) = e11
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f809]) ).
fof(f813,definition,
( sP65_prd
<=> ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f814,plain,
( sP59_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f763,f813]) ).
fof(f815,definition,
( sP66_prd
<=> ( op2(e21,e21) != e20
| op2(e21,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f816,definition,
( sP67_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f817,plain,
( sP59_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP67_prd
& sP66_prd
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f814,f816,f815]) ).
fof(f818,plain,
( ( ( ( ( op2(e21,e21) = e23
& op2(e21,e23) = e21 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21 )
| ~ sP67_prd
| ~ sP66_prd
| op2(e21,e22) != e22
| op2(e22,e21) != e22 )
& ~ sP65_prd )
| sP59_prd )
& ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP67_prd
& sP66_prd
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| sP65_prd
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f817]) ).
fof(f819,plain,
( op2(e22,e21) = e22
| sP65_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f818]) ).
fof(f821,plain,
( sP66_prd
| sP65_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f818]) ).
fof(f825,plain,
( ~ sP65_prd
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f818]) ).
fof(f830,plain,
( ( ( op2(e22,e22) = e20
& op2(e22,e20) = e22 )
| sP60_prd )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f765]) ).
fof(f832,plain,
( op2(e22,e20) = e22
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f830]) ).
fof(f834,plain,
( ( ( op2(e22,e22) = e21
& op2(e22,e21) = e22 )
| sP61_prd )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f766]) ).
fof(f837,plain,
( op2(e22,e22) = e21
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f834]) ).
fof(f838,definition,
( sP68_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f839,plain,
( sP62_prd
<=> ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f788,f838]) ).
fof(f840,definition,
( sP69_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f841,definition,
( sP70_prd
<=> ( op1(e10,e10) != e11
| op1(e10,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f842,plain,
( sP62_prd
<=> ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP70_prd
& sP69_prd
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f839,f841,f840]) ).
fof(f843,plain,
( ( ( ( ( op1(e10,e10) = e13
& op1(e10,e13) = e10 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10 )
| ~ sP70_prd
| ~ sP69_prd
| op1(e10,e12) != e12
| op1(e12,e10) != e12 )
& ~ sP68_prd )
| sP62_prd )
& ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP70_prd
& sP69_prd
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| sP68_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f842]) ).
fof(f844,plain,
( op1(e12,e10) = e12
| sP68_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f843]) ).
fof(f850,plain,
( ~ sP68_prd
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f843]) ).
fof(f855,plain,
( ( ( op1(e11,e11) = e10
& op1(e11,e10) = e11 )
| sP63_prd )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f790]) ).
fof(f856,plain,
( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f857,plain,
( op1(e11,e10) = e11
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f859,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP64_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f791]) ).
fof(f861,plain,
( op1(e11,e11) = e11
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f859]) ).
fof(f863,definition,
( sP71_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f864,plain,
( sP65_prd
<=> ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f813,f863]) ).
fof(f865,definition,
( sP72_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP72_prd])],[]) ).
fof(f866,definition,
( sP73_prd
<=> ( op2(e20,e20) != e21
| op2(e20,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP73_prd])],[]) ).
fof(f867,plain,
( sP65_prd
<=> ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP73_prd
& sP72_prd
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f864,f866,f865]) ).
fof(f868,plain,
( ( ( ( ( op2(e20,e20) = e23
& op2(e20,e23) = e20 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20 )
| ~ sP73_prd
| ~ sP72_prd
| op2(e20,e22) != e22
| op2(e22,e20) != e22 )
& ~ sP71_prd )
| sP65_prd )
& ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP73_prd
& sP72_prd
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| sP71_prd
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f867]) ).
fof(f869,plain,
( op2(e22,e20) = e22
| sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f868]) ).
fof(f875,plain,
( ~ sP71_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f868]) ).
fof(f880,plain,
( ( ( op2(e21,e21) = e20
& op2(e21,e20) = e21 )
| sP66_prd )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f815]) ).
fof(f881,plain,
( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f880]) ).
fof(f884,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP67_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f816]) ).
fof(f886,plain,
( op2(e21,e21) = e21
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f884]) ).
fof(f888,definition,
( sP74_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP74_prd])],[]) ).
fof(f889,plain,
( sP68_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f838,f888]) ).
fof(f890,definition,
( sP75_prd
<=> ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP75_prd])],[]) ).
fof(f891,definition,
( sP76_prd
<=> ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP76_prd])],[]) ).
fof(f892,plain,
( sP68_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& sP76_prd
& sP75_prd
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f889,f891,f890]) ).
fof(f893,plain,
( ( ( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12
& op1(e13,e12) = e13 )
| ~ sP76_prd
| ~ sP75_prd
| op1(e13,e11) != e11
| op1(e11,e13) != e11 )
& ~ sP74_prd )
| sP68_prd )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& sP76_prd
& sP75_prd
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| sP74_prd
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f892]) ).
fof(f894,plain,
( op1(e11,e13) = e11
| sP74_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f893]) ).
fof(f895,plain,
( op1(e13,e11) = e11
| sP74_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f893]) ).
fof(f900,plain,
( ~ sP74_prd
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f893]) ).
fof(f903,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| ~ sP76_prd
| ~ sP75_prd
| op1(e13,e11) != e11
| op1(e11,e13) != e11
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f893]) ).
fof(f905,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP69_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f840]) ).
fof(f907,plain,
( op1(e10,e10) = e10
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f905]) ).
fof(f909,plain,
( ( ( op1(e10,e10) = e11
& op1(e10,e11) = e10 )
| sP70_prd )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f841]) ).
fof(f912,plain,
( op1(e10,e10) = e11
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f909]) ).
fof(f913,definition,
( sP77_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP77_prd])],[]) ).
fof(f914,plain,
( sP71_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f863,f913]) ).
fof(f915,definition,
( sP78_prd
<=> ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP78_prd])],[]) ).
fof(f916,definition,
( sP79_prd
<=> ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP79_prd])],[]) ).
fof(f917,plain,
( sP71_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& sP79_prd
& sP78_prd
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f914,f916,f915]) ).
fof(f918,plain,
( ( ( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e23) = e22
& op2(e23,e22) = e23 )
| ~ sP79_prd
| ~ sP78_prd
| op2(e23,e21) != e21
| op2(e21,e23) != e21 )
& ~ sP77_prd )
| sP71_prd )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& sP79_prd
& sP78_prd
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| sP77_prd
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f917]) ).
fof(f919,plain,
( op2(e21,e23) = e21
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f918]) ).
fof(f925,plain,
( ~ sP77_prd
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f918]) ).
fof(f930,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP72_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f865]) ).
fof(f932,plain,
( op2(e20,e20) = e20
| sP72_prd ),
inference(cnf_transformation,[status(thm)],[f930]) ).
fof(f934,plain,
( ( ( op2(e20,e20) = e21
& op2(e20,e21) = e20 )
| sP73_prd )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f866]) ).
fof(f937,plain,
( op2(e20,e20) = e21
| sP73_prd ),
inference(cnf_transformation,[status(thm)],[f934]) ).
fof(f938,definition,
( sP80_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP80_prd])],[]) ).
fof(f939,plain,
( sP74_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f888,f938]) ).
fof(f940,definition,
( sP81_prd
<=> ( op1(e12,e12) != e10
| op1(e12,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP81_prd])],[]) ).
fof(f941,definition,
( sP82_prd
<=> ( op1(e12,e12) != e11
| op1(e12,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP82_prd])],[]) ).
fof(f942,plain,
( sP74_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP82_prd
& sP81_prd
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f939,f941,f940]) ).
fof(f943,plain,
( ( ( ( ( op1(e12,e12) = e13
& op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP82_prd
| ~ sP81_prd
| op1(e12,e11) != e11
| op1(e11,e12) != e11 )
& ~ sP80_prd )
| sP74_prd )
& ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP82_prd
& sP81_prd
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| sP80_prd
| ~ sP74_prd ) ),
inference(NNF_transformation,[status(thm)],[f942]) ).
fof(f944,plain,
( op1(e11,e12) = e11
| sP80_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f943]) ).
fof(f945,plain,
( op1(e12,e11) = e11
| sP80_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f943]) ).
fof(f948,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e12
| sP80_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f943]) ).
fof(f950,plain,
( ~ sP80_prd
| sP74_prd ),
inference(cnf_transformation,[status(thm)],[f943]) ).
fof(f955,plain,
( ( ( op1(e13,e13) = e10
& op1(e13,e10) = e13 )
| sP75_prd )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f890]) ).
fof(f957,plain,
( op1(e13,e10) = e13
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f955]) ).
fof(f959,plain,
( ( ( op1(e13,e13) = e11
& op1(e13,e11) = e13 )
| sP76_prd )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| ~ sP76_prd ) ),
inference(NNF_transformation,[status(thm)],[f891]) ).
fof(f961,plain,
( op1(e13,e11) = e13
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f959]) ).
fof(f962,plain,
( op1(e13,e13) = e11
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f959]) ).
fof(f963,definition,
( sP83_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP83_prd])],[]) ).
fof(f964,plain,
( sP77_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f913,f963]) ).
fof(f965,definition,
( sP84_prd
<=> ( op2(e22,e22) != e20
| op2(e22,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP84_prd])],[]) ).
fof(f966,definition,
( sP85_prd
<=> ( op2(e22,e22) != e21
| op2(e22,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP85_prd])],[]) ).
fof(f967,plain,
( sP77_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP85_prd
& sP84_prd
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f964,f966,f965]) ).
fof(f968,plain,
( ( ( ( ( op2(e22,e22) = e23
& op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP85_prd
| ~ sP84_prd
| op2(e22,e21) != e21
| op2(e21,e22) != e21 )
& ~ sP83_prd )
| sP77_prd )
& ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP85_prd
& sP84_prd
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| sP83_prd
| ~ sP77_prd ) ),
inference(NNF_transformation,[status(thm)],[f967]) ).
fof(f969,plain,
( op2(e21,e22) = e21
| sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f968]) ).
fof(f970,plain,
( op2(e22,e21) = e21
| sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f968]) ).
fof(f973,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e22
| sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f968]) ).
fof(f974,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f968]) ).
fof(f975,plain,
( ~ sP83_prd
| sP77_prd ),
inference(cnf_transformation,[status(thm)],[f968]) ).
fof(f980,plain,
( ( ( op2(e23,e23) = e20
& op2(e23,e20) = e23 )
| sP78_prd )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ sP78_prd ) ),
inference(NNF_transformation,[status(thm)],[f915]) ).
fof(f982,plain,
( op2(e23,e20) = e23
| sP78_prd ),
inference(cnf_transformation,[status(thm)],[f980]) ).
fof(f984,plain,
( ( ( op2(e23,e23) = e21
& op2(e23,e21) = e23 )
| sP79_prd )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| ~ sP79_prd ) ),
inference(NNF_transformation,[status(thm)],[f916]) ).
fof(f985,plain,
( op2(e23,e23) != e21
| op2(e23,e21) != e23
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f984]) ).
fof(f986,plain,
( op2(e23,e21) = e23
| sP79_prd ),
inference(cnf_transformation,[status(thm)],[f984]) ).
fof(f988,definition,
( sP86_prd
<=> ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP86_prd])],[]) ).
fof(f989,plain,
( sP80_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP86_prd ) ),
inference(formula_renaming,[status(thm)],[f938,f988]) ).
fof(f990,definition,
( sP87_prd
<=> ( op1(e11,e11) != e10
| op1(e11,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP87_prd])],[]) ).
fof(f991,definition,
( sP88_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP88_prd])],[]) ).
fof(f992,plain,
( sP80_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP88_prd
& sP87_prd
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP86_prd ) ),
inference(formula_renaming,[status(thm)],[f989,f991,f990]) ).
fof(f993,plain,
( ( ( ( ( op1(e11,e11) = e13
& op1(e11,e13) = e11 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11 )
| ~ sP88_prd
| ~ sP87_prd
| op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ~ sP86_prd )
| sP80_prd )
& ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP88_prd
& sP87_prd
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP86_prd
| ~ sP80_prd ) ),
inference(NNF_transformation,[status(thm)],[f992]) ).
fof(f994,plain,
( op1(e11,e11) = e11
| sP86_prd
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f993]) ).
fof(f1000,plain,
( ~ sP86_prd
| sP80_prd ),
inference(cnf_transformation,[status(thm)],[f993]) ).
fof(f1005,plain,
( ( ( op1(e12,e12) = e10
& op1(e12,e10) = e12 )
| sP81_prd )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| ~ sP81_prd ) ),
inference(NNF_transformation,[status(thm)],[f940]) ).
fof(f1007,plain,
( op1(e12,e10) = e12
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f1005]) ).
fof(f1009,plain,
( ( ( op1(e12,e12) = e11
& op1(e12,e11) = e12 )
| sP82_prd )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| ~ sP82_prd ) ),
inference(NNF_transformation,[status(thm)],[f941]) ).
fof(f1011,plain,
( op1(e12,e11) = e12
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f1009]) ).
fof(f1012,plain,
( op1(e12,e12) = e11
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f1009]) ).
fof(f1013,definition,
( sP89_prd
<=> ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP89_prd])],[]) ).
fof(f1014,plain,
( sP83_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f963,f1013]) ).
fof(f1015,definition,
( sP90_prd
<=> ( op2(e21,e21) != e20
| op2(e21,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP90_prd])],[]) ).
fof(f1016,definition,
( sP91_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP91_prd])],[]) ).
fof(f1017,plain,
( sP83_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP91_prd
& sP90_prd
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f1014,f1016,f1015]) ).
fof(f1018,plain,
( ( ( ( ( op2(e21,e21) = e23
& op2(e21,e23) = e21 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21 )
| ~ sP91_prd
| ~ sP90_prd
| op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ~ sP89_prd )
| sP83_prd )
& ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP91_prd
& sP90_prd
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP89_prd
| ~ sP83_prd ) ),
inference(NNF_transformation,[status(thm)],[f1017]) ).
fof(f1019,plain,
( op2(e21,e21) = e21
| sP89_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f1018]) ).
fof(f1025,plain,
( ~ sP89_prd
| sP83_prd ),
inference(cnf_transformation,[status(thm)],[f1018]) ).
fof(f1030,plain,
( ( ( op2(e22,e22) = e20
& op2(e22,e20) = e22 )
| sP84_prd )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| ~ sP84_prd ) ),
inference(NNF_transformation,[status(thm)],[f965]) ).
fof(f1032,plain,
( op2(e22,e20) = e22
| sP84_prd ),
inference(cnf_transformation,[status(thm)],[f1030]) ).
fof(f1034,plain,
( ( ( op2(e22,e22) = e21
& op2(e22,e21) = e22 )
| sP85_prd )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| ~ sP85_prd ) ),
inference(NNF_transformation,[status(thm)],[f966]) ).
fof(f1037,plain,
( op2(e22,e22) = e21
| sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1034]) ).
fof(f1038,definition,
( sP92_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP92_prd])],[]) ).
fof(f1039,plain,
( sP86_prd
<=> ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| sP92_prd ) ),
inference(formula_renaming,[status(thm)],[f988,f1038]) ).
fof(f1040,definition,
( sP93_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP93_prd])],[]) ).
fof(f1041,definition,
( sP94_prd
<=> ( op1(e10,e10) != e11
| op1(e10,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP94_prd])],[]) ).
fof(f1042,plain,
( sP86_prd
<=> ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP94_prd
& sP93_prd
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| sP92_prd ) ),
inference(formula_renaming,[status(thm)],[f1039,f1041,f1040]) ).
fof(f1043,plain,
( ( ( ( ( op1(e10,e10) = e13
& op1(e10,e13) = e10 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10 )
| ~ sP94_prd
| ~ sP93_prd
| op1(e10,e11) != e11
| op1(e11,e10) != e11 )
& ~ sP92_prd )
| sP86_prd )
& ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP94_prd
& sP93_prd
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| sP92_prd
| ~ sP86_prd ) ),
inference(NNF_transformation,[status(thm)],[f1042]) ).
fof(f1045,plain,
( op1(e10,e11) = e11
| sP92_prd
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1043]) ).
fof(f1049,plain,
( op1(e10,e10) != e13
| op1(e10,e13) != e10
| sP92_prd
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1043]) ).
fof(f1050,plain,
( ~ sP92_prd
| sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1043]) ).
fof(f1053,plain,
( op1(e10,e13) = e10
| op1(e10,e10) = e12
| ~ sP94_prd
| ~ sP93_prd
| op1(e10,e11) != e11
| op1(e11,e10) != e11
| sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1043]) ).
fof(f1055,plain,
( ( ( op1(e11,e11) = e10
& op1(e11,e10) = e11 )
| sP87_prd )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP87_prd ) ),
inference(NNF_transformation,[status(thm)],[f990]) ).
fof(f1056,plain,
( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1055]) ).
fof(f1057,plain,
( op1(e11,e10) = e11
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1055]) ).
fof(f1059,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP88_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP88_prd ) ),
inference(NNF_transformation,[status(thm)],[f991]) ).
fof(f1061,plain,
( op1(e11,e11) = e11
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f1059]) ).
fof(f1063,definition,
( sP95_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP95_prd])],[]) ).
fof(f1064,plain,
( sP89_prd
<=> ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| sP95_prd ) ),
inference(formula_renaming,[status(thm)],[f1013,f1063]) ).
fof(f1065,definition,
( sP96_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP96_prd])],[]) ).
fof(f1066,definition,
( sP97_prd
<=> ( op2(e20,e20) != e21
| op2(e20,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP97_prd])],[]) ).
fof(f1067,plain,
( sP89_prd
<=> ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP97_prd
& sP96_prd
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| sP95_prd ) ),
inference(formula_renaming,[status(thm)],[f1064,f1066,f1065]) ).
fof(f1068,plain,
( ( ( ( ( op2(e20,e20) = e23
& op2(e20,e23) = e20 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20 )
| ~ sP97_prd
| ~ sP96_prd
| op2(e20,e21) != e21
| op2(e21,e20) != e21 )
& ~ sP95_prd )
| sP89_prd )
& ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP97_prd
& sP96_prd
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| sP95_prd
| ~ sP89_prd ) ),
inference(NNF_transformation,[status(thm)],[f1067]) ).
fof(f1070,plain,
( op2(e20,e21) = e21
| sP95_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1068]) ).
fof(f1074,plain,
( op2(e20,e20) != e23
| op2(e20,e23) != e20
| sP95_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1068]) ).
fof(f1075,plain,
( ~ sP95_prd
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1068]) ).
fof(f1080,plain,
( ( ( op2(e21,e21) = e20
& op2(e21,e20) = e21 )
| sP90_prd )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP90_prd ) ),
inference(NNF_transformation,[status(thm)],[f1015]) ).
fof(f1081,plain,
( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1080]) ).
fof(f1084,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP91_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP91_prd ) ),
inference(NNF_transformation,[status(thm)],[f1016]) ).
fof(f1086,plain,
( op2(e21,e21) = e21
| sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1084]) ).
fof(f1088,definition,
( sP98_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP98_prd])],[]) ).
fof(f1089,plain,
( sP92_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 )
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| sP98_prd ) ),
inference(formula_renaming,[status(thm)],[f1038,f1088]) ).
fof(f1090,definition,
( sP99_prd
<=> ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP99_prd])],[]) ).
fof(f1091,definition,
( sP100_prd
<=> ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP100_prd])],[]) ).
fof(f1092,plain,
( sP92_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& sP100_prd
& sP99_prd
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| sP98_prd ) ),
inference(formula_renaming,[status(thm)],[f1089,f1091,f1090]) ).
fof(f1093,plain,
( ( ( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12
& op1(e13,e12) = e13 )
| ~ sP100_prd
| ~ sP99_prd
| op1(e13,e10) != e10
| op1(e10,e13) != e10 )
& ~ sP98_prd )
| sP92_prd )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& sP100_prd
& sP99_prd
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| sP98_prd
| ~ sP92_prd ) ),
inference(NNF_transformation,[status(thm)],[f1092]) ).
fof(f1095,plain,
( op1(e13,e10) = e10
| sP98_prd
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1093]) ).
fof(f1100,plain,
( ~ sP98_prd
| sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1093]) ).
fof(f1105,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP93_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP93_prd ) ),
inference(NNF_transformation,[status(thm)],[f1040]) ).
fof(f1107,plain,
( op1(e10,e10) = e10
| sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1105]) ).
fof(f1109,plain,
( ( ( op1(e10,e10) = e11
& op1(e10,e11) = e10 )
| sP94_prd )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| ~ sP94_prd ) ),
inference(NNF_transformation,[status(thm)],[f1041]) ).
fof(f1112,plain,
( op1(e10,e10) = e11
| sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1109]) ).
fof(f1113,definition,
( sP101_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP101_prd])],[]) ).
fof(f1114,plain,
( sP95_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 )
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| sP101_prd ) ),
inference(formula_renaming,[status(thm)],[f1063,f1113]) ).
fof(f1115,definition,
( sP102_prd
<=> ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP102_prd])],[]) ).
fof(f1116,definition,
( sP103_prd
<=> ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP103_prd])],[]) ).
fof(f1117,plain,
( sP95_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& sP103_prd
& sP102_prd
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| sP101_prd ) ),
inference(formula_renaming,[status(thm)],[f1114,f1116,f1115]) ).
fof(f1118,plain,
( ( ( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e23) = e22
& op2(e23,e22) = e23 )
| ~ sP103_prd
| ~ sP102_prd
| op2(e23,e20) != e20
| op2(e20,e23) != e20 )
& ~ sP101_prd )
| sP95_prd )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& sP103_prd
& sP102_prd
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| sP101_prd
| ~ sP95_prd ) ),
inference(NNF_transformation,[status(thm)],[f1117]) ).
fof(f1119,plain,
( op2(e20,e23) = e20
| sP101_prd
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1118]) ).
fof(f1120,plain,
( op2(e23,e20) = e20
| sP101_prd
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1118]) ).
fof(f1125,plain,
( ~ sP101_prd
| sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1118]) ).
fof(f1130,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP96_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP96_prd ) ),
inference(NNF_transformation,[status(thm)],[f1065]) ).
fof(f1132,plain,
( op2(e20,e20) = e20
| sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1130]) ).
fof(f1134,plain,
( ( ( op2(e20,e20) = e21
& op2(e20,e21) = e20 )
| sP97_prd )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| ~ sP97_prd ) ),
inference(NNF_transformation,[status(thm)],[f1066]) ).
fof(f1137,plain,
( op2(e20,e20) = e21
| sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1134]) ).
fof(f1138,definition,
( sP104_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP104_prd])],[]) ).
fof(f1139,plain,
( sP98_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| sP104_prd ) ),
inference(formula_renaming,[status(thm)],[f1088,f1138]) ).
fof(f1140,definition,
( sP105_prd
<=> ( op1(e12,e12) != e10
| op1(e12,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP105_prd])],[]) ).
fof(f1141,definition,
( sP106_prd
<=> ( op1(e12,e12) != e11
| op1(e12,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP106_prd])],[]) ).
fof(f1142,plain,
( sP98_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP106_prd
& sP105_prd
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| sP104_prd ) ),
inference(formula_renaming,[status(thm)],[f1139,f1141,f1140]) ).
fof(f1143,plain,
( ( ( ( ( op1(e12,e12) = e13
& op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP106_prd
| ~ sP105_prd
| op1(e12,e10) != e10
| op1(e10,e12) != e10 )
& ~ sP104_prd )
| sP98_prd )
& ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP106_prd
& sP105_prd
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| sP104_prd
| ~ sP98_prd ) ),
inference(NNF_transformation,[status(thm)],[f1142]) ).
fof(f1144,plain,
( op1(e10,e12) = e10
| sP104_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1143]) ).
fof(f1145,plain,
( op1(e12,e10) = e10
| sP104_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1143]) ).
fof(f1147,plain,
( sP106_prd
| sP104_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1143]) ).
fof(f1148,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e12
| sP104_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1143]) ).
fof(f1149,plain,
( op1(e12,e12) != e13
| op1(e12,e13) != e12
| sP104_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1143]) ).
fof(f1151,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| ~ sP106_prd
| ~ sP105_prd
| op1(e12,e10) != e10
| op1(e10,e12) != e10
| sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1143]) ).
fof(f1155,plain,
( ( ( op1(e13,e13) = e10
& op1(e13,e10) = e13 )
| sP99_prd )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ sP99_prd ) ),
inference(NNF_transformation,[status(thm)],[f1090]) ).
fof(f1157,plain,
( op1(e13,e10) = e13
| sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1155]) ).
fof(f1159,plain,
( ( ( op1(e13,e13) = e11
& op1(e13,e11) = e13 )
| sP100_prd )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| ~ sP100_prd ) ),
inference(NNF_transformation,[status(thm)],[f1091]) ).
fof(f1161,plain,
( op1(e13,e11) = e13
| sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1159]) ).
fof(f1162,plain,
( op1(e13,e13) = e11
| sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1159]) ).
fof(f1163,definition,
( sP107_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP107_prd])],[]) ).
fof(f1164,plain,
( sP101_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| sP107_prd ) ),
inference(formula_renaming,[status(thm)],[f1113,f1163]) ).
fof(f1165,definition,
( sP108_prd
<=> ( op2(e22,e22) != e20
| op2(e22,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP108_prd])],[]) ).
fof(f1166,definition,
( sP109_prd
<=> ( op2(e22,e22) != e21
| op2(e22,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP109_prd])],[]) ).
fof(f1167,plain,
( sP101_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP109_prd
& sP108_prd
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| sP107_prd ) ),
inference(formula_renaming,[status(thm)],[f1164,f1166,f1165]) ).
fof(f1168,plain,
( ( ( ( ( op2(e22,e22) = e23
& op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP109_prd
| ~ sP108_prd
| op2(e22,e20) != e20
| op2(e20,e22) != e20 )
& ~ sP107_prd )
| sP101_prd )
& ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP109_prd
& sP108_prd
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| sP107_prd
| ~ sP101_prd ) ),
inference(NNF_transformation,[status(thm)],[f1167]) ).
fof(f1169,plain,
( op2(e20,e22) = e20
| sP107_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1168]) ).
fof(f1172,plain,
( sP109_prd
| sP107_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1168]) ).
fof(f1173,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e22
| sP107_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1168]) ).
fof(f1174,plain,
( op2(e22,e22) != e23
| op2(e22,e23) != e22
| sP107_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1168]) ).
fof(f1177,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| ~ sP109_prd
| ~ sP108_prd
| op2(e22,e20) != e20
| op2(e20,e22) != e20
| sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1168]) ).
fof(f1180,plain,
( ( ( op2(e23,e23) = e20
& op2(e23,e20) = e23 )
| sP102_prd )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ sP102_prd ) ),
inference(NNF_transformation,[status(thm)],[f1115]) ).
fof(f1182,plain,
( op2(e23,e20) = e23
| sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1180]) ).
fof(f1184,plain,
( ( ( op2(e23,e23) = e21
& op2(e23,e21) = e23 )
| sP103_prd )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| ~ sP103_prd ) ),
inference(NNF_transformation,[status(thm)],[f1116]) ).
fof(f1185,plain,
( op2(e23,e23) != e21
| op2(e23,e21) != e23
| ~ sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1184]) ).
fof(f1186,plain,
( op2(e23,e21) = e23
| sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1184]) ).
fof(f1188,definition,
( sP110_prd
<=> ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP110_prd])],[]) ).
fof(f1189,plain,
( sP104_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| sP110_prd ) ),
inference(formula_renaming,[status(thm)],[f1138,f1188]) ).
fof(f1190,definition,
( sP111_prd
<=> ( op1(e11,e11) != e10
| op1(e11,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP111_prd])],[]) ).
fof(f1191,definition,
( sP112_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP112_prd])],[]) ).
fof(f1192,plain,
( sP104_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP112_prd
& sP111_prd
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| sP110_prd ) ),
inference(formula_renaming,[status(thm)],[f1189,f1191,f1190]) ).
fof(f1193,plain,
( ( ( ( ( op1(e11,e11) = e13
& op1(e11,e13) = e11 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11 )
| ~ sP112_prd
| ~ sP111_prd
| op1(e11,e10) != e10
| op1(e10,e11) != e10 )
& ~ sP110_prd )
| sP104_prd )
& ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP112_prd
& sP111_prd
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| sP110_prd
| ~ sP104_prd ) ),
inference(NNF_transformation,[status(thm)],[f1192]) ).
fof(f1194,plain,
( op1(e10,e11) = e10
| sP110_prd
| ~ sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1193]) ).
fof(f1205,plain,
( ( ( op1(e12,e12) = e10
& op1(e12,e10) = e12 )
| sP105_prd )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| ~ sP105_prd ) ),
inference(NNF_transformation,[status(thm)],[f1140]) ).
fof(f1207,plain,
( op1(e12,e10) = e12
| sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1205]) ).
fof(f1209,plain,
( ( ( op1(e12,e12) = e11
& op1(e12,e11) = e12 )
| sP106_prd )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| ~ sP106_prd ) ),
inference(NNF_transformation,[status(thm)],[f1141]) ).
fof(f1210,plain,
( op1(e12,e12) != e11
| op1(e12,e11) != e12
| ~ sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1209]) ).
fof(f1211,plain,
( op1(e12,e11) = e12
| sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1209]) ).
fof(f1212,plain,
( op1(e12,e12) = e11
| sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1209]) ).
fof(f1213,definition,
( sP113_prd
<=> ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP113_prd])],[]) ).
fof(f1214,plain,
( sP107_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| sP113_prd ) ),
inference(formula_renaming,[status(thm)],[f1163,f1213]) ).
fof(f1215,definition,
( sP114_prd
<=> ( op2(e21,e21) != e20
| op2(e21,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP114_prd])],[]) ).
fof(f1216,definition,
( sP115_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP115_prd])],[]) ).
fof(f1217,plain,
( sP107_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP115_prd
& sP114_prd
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| sP113_prd ) ),
inference(formula_renaming,[status(thm)],[f1214,f1216,f1215]) ).
fof(f1218,plain,
( ( ( ( ( op2(e21,e21) = e23
& op2(e21,e23) = e21 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21 )
| ~ sP115_prd
| ~ sP114_prd
| op2(e21,e20) != e20
| op2(e20,e21) != e20 )
& ~ sP113_prd )
| sP107_prd )
& ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP115_prd
& sP114_prd
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| sP113_prd
| ~ sP107_prd ) ),
inference(NNF_transformation,[status(thm)],[f1217]) ).
fof(f1219,plain,
( op2(e20,e21) = e20
| sP113_prd
| ~ sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1218]) ).
fof(f1230,plain,
( ( ( op2(e22,e22) = e20
& op2(e22,e20) = e22 )
| sP108_prd )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| ~ sP108_prd ) ),
inference(NNF_transformation,[status(thm)],[f1165]) ).
fof(f1232,plain,
( op2(e22,e20) = e22
| sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1230]) ).
fof(f1234,plain,
( ( ( op2(e22,e22) = e21
& op2(e22,e21) = e22 )
| sP109_prd )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| ~ sP109_prd ) ),
inference(NNF_transformation,[status(thm)],[f1166]) ).
fof(f1235,plain,
( op2(e22,e22) != e21
| op2(e22,e21) != e22
| ~ sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1234]) ).
fof(f1236,plain,
( op2(e22,e21) = e22
| sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1234]) ).
fof(f1237,plain,
( op2(e22,e22) = e21
| sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1234]) ).
fof(f1238,definition,
( sP116_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP116_prd])],[]) ).
fof(f1239,definition,
( sP117_prd
<=> ( op1(e10,e10) != e11
| op1(e10,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP117_prd])],[]) ).
fof(f1240,plain,
( sP110_prd
<=> ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP117_prd
& sP116_prd
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ),
inference(formula_renaming,[status(thm)],[f1188,f1239,f1238]) ).
fof(f1241,plain,
( ( ( op1(e10,e10) = e13
& op1(e10,e13) = e10 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10 )
| ~ sP117_prd
| ~ sP116_prd
| op1(e10,e10) != e10
| op1(e10,e10) != e10
| sP110_prd )
& ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP117_prd
& sP116_prd
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ~ sP110_prd ) ),
inference(NNF_transformation,[status(thm)],[f1240]) ).
fof(f1242,plain,
( op1(e10,e10) = e10
| ~ sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1241]) ).
fof(f1252,plain,
( ( ( op1(e11,e11) = e10
& op1(e11,e10) = e11 )
| sP111_prd )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP111_prd ) ),
inference(NNF_transformation,[status(thm)],[f1190]) ).
fof(f1253,plain,
( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1252]) ).
fof(f1254,plain,
( op1(e11,e10) = e11
| sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1252]) ).
fof(f1256,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP112_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP112_prd ) ),
inference(NNF_transformation,[status(thm)],[f1191]) ).
fof(f1258,plain,
( op1(e11,e11) = e11
| sP112_prd ),
inference(cnf_transformation,[status(thm)],[f1256]) ).
fof(f1260,definition,
( sP118_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP118_prd])],[]) ).
fof(f1261,definition,
( sP119_prd
<=> ( op2(e20,e20) != e21
| op2(e20,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP119_prd])],[]) ).
fof(f1262,plain,
( sP113_prd
<=> ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP119_prd
& sP118_prd
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ),
inference(formula_renaming,[status(thm)],[f1213,f1261,f1260]) ).
fof(f1263,plain,
( ( ( op2(e20,e20) = e23
& op2(e20,e23) = e20 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20 )
| ~ sP119_prd
| ~ sP118_prd
| op2(e20,e20) != e20
| op2(e20,e20) != e20
| sP113_prd )
& ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP119_prd
& sP118_prd
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ~ sP113_prd ) ),
inference(NNF_transformation,[status(thm)],[f1262]) ).
fof(f1264,plain,
( op2(e20,e20) = e20
| ~ sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1263]) ).
fof(f1274,plain,
( ( ( op2(e21,e21) = e20
& op2(e21,e20) = e21 )
| sP114_prd )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP114_prd ) ),
inference(NNF_transformation,[status(thm)],[f1215]) ).
fof(f1275,plain,
( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP114_prd ),
inference(cnf_transformation,[status(thm)],[f1274]) ).
fof(f1278,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP115_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP115_prd ) ),
inference(NNF_transformation,[status(thm)],[f1216]) ).
fof(f1280,plain,
( op2(e21,e21) = e21
| sP115_prd ),
inference(cnf_transformation,[status(thm)],[f1278]) ).
fof(f1282,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP116_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP116_prd ) ),
inference(NNF_transformation,[status(thm)],[f1238]) ).
fof(f1284,plain,
( op1(e10,e10) = e10
| sP116_prd ),
inference(cnf_transformation,[status(thm)],[f1282]) ).
fof(f1286,plain,
( ( ( op1(e10,e10) = e11
& op1(e10,e11) = e10 )
| sP117_prd )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| ~ sP117_prd ) ),
inference(NNF_transformation,[status(thm)],[f1239]) ).
fof(f1289,plain,
( op1(e10,e10) = e11
| sP117_prd ),
inference(cnf_transformation,[status(thm)],[f1286]) ).
fof(f1290,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP118_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP118_prd ) ),
inference(NNF_transformation,[status(thm)],[f1260]) ).
fof(f1292,plain,
( op2(e20,e20) = e20
| sP118_prd ),
inference(cnf_transformation,[status(thm)],[f1290]) ).
fof(f1294,plain,
( ( ( op2(e20,e20) = e21
& op2(e20,e21) = e20 )
| sP119_prd )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| ~ sP119_prd ) ),
inference(NNF_transformation,[status(thm)],[f1261]) ).
fof(f1297,plain,
( op2(e20,e20) = e21
| sP119_prd ),
inference(cnf_transformation,[status(thm)],[f1294]) ).
fof(f1298,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1299,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1302,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1304,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1305,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f1304]) ).
fof(f1307,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1309,plain,
( sQ3_spl
| op1(e10,e10) != e13 ),
inference(component_clause,[status(thm)],[f1307]) ).
fof(f1311,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1312,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f1311]) ).
fof(f1314,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1315,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1317,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1318,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f1317]) ).
fof(f1320,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1321,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f1320]) ).
fof(f1323,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21,f1311,f1314,f1317,f1320]) ).
fof(f1324,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1325,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f1324]) ).
fof(f1327,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1328,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f1327]) ).
fof(f1330,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1331,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f1330]) ).
fof(f1333,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f1333]) ).
fof(f1337,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1338,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f1337]) ).
fof(f1340,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1341,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f1340]) ).
fof(f1343,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1344,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f1343]) ).
fof(f1346,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1347,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1350,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1353,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1354,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f1353]) ).
fof(f1356,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1359,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1360,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f1359]) ).
fof(f1362,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f24,f1350,f1353,f1356,f1359]) ).
fof(f1363,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1366,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1367,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f1366]) ).
fof(f1369,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1370,plain,
( ~ sQ22_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f1369]) ).
fof(f1372,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1373,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f1372]) ).
fof(f1375,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f25,f1363,f1366,f1369,f1372]) ).
fof(f1376,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1377,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f1376]) ).
fof(f1379,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1380,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f1379]) ).
fof(f1382,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1383,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f1382]) ).
fof(f1385,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1386,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f1385]) ).
fof(f1389,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1390,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f1389]) ).
fof(f1392,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1393,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f1392]) ).
fof(f1395,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1396,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f1395]) ).
fof(f1398,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1399,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f1398]) ).
fof(f1402,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1403,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f1402]) ).
fof(f1405,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1406,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1408,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1411,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1412,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f1411]) ).
fof(f1414,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f28,f1402,f1405,f1408,f1411]) ).
fof(f1415,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1416,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f1415]) ).
fof(f1418,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f1418]) ).
fof(f1421,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1424,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1425,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1428,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1429,plain,
( ~ sQ40_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f1428]) ).
fof(f1431,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1432,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f1431]) ).
fof(f1434,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1435,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f1434]) ).
fof(f1437,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f1437]) ).
fof(f1440,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f30,f1428,f1431,f1434,f1437]) ).
fof(f1441,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1442,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f1441]) ).
fof(f1444,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1445,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f1444]) ).
fof(f1447,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1448,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f1447]) ).
fof(f1450,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1451,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1454,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1455,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f1454]) ).
fof(f1457,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1458,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f1457]) ).
fof(f1460,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1461,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1462,plain,
( sQ50_spl
| op1(e13,e10) != e12 ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1463,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1464,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1467,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1470,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1473,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1474,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f1473]) ).
fof(f1476,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1477,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f1476]) ).
fof(f1479,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f33,f1467,f1470,f1473,f1476]) ).
fof(f1480,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1481,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f1480]) ).
fof(f1483,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f1483]) ).
fof(f1486,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1487,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f1486]) ).
fof(f1489,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1490,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f1489]) ).
fof(f1492,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f34,f1480,f1483,f1486,f1489]) ).
fof(f1493,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1494,plain,
( ~ sQ60_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f1493]) ).
fof(f1496,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1499,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1502,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f35,f1493,f1496,f1499,f1502]) ).
fof(f1506,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f1298,f1311,f1324,f1337]) ).
fof(f1508,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f38,f1301,f1314,f1327,f1340]) ).
fof(f1509,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f39,f1301,f1353,f1405,f1457]) ).
fof(f1510,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f1304,f1317,f1330,f1343]) ).
fof(f1516,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f1353,f1366,f1379,f1392]) ).
fof(f1517,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f1314,f1366,f1418,f1470]) ).
fof(f1518,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f48,f1356,f1369,f1382,f1395]) ).
fof(f1519,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f49,f1317,f1369,f1421,f1473]) ).
fof(f1520,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f50,f1359,f1372,f1385,f1398]) ).
fof(f1521,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f1320,f1372,f1424,f1476]) ).
fof(f1523,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f1324,f1376,f1428,f1480]) ).
fof(f1524,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f54,f1405,f1418,f1431,f1444]) ).
fof(f1526,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f56,f1408,f1421,f1434,f1447]) ).
fof(f1527,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f1330,f1382,f1434,f1486]) ).
fof(f1528,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f58,f1411,f1424,f1437,f1450]) ).
fof(f1529,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f1333,f1385,f1437,f1489]) ).
fof(f1530,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f60,f1454,f1467,f1480,f1493]) ).
fof(f1532,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f62,f1457,f1470,f1483,f1496]) ).
fof(f1533,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f63,f1340,f1392,f1444,f1496]) ).
fof(f1535,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f65,f1343,f1395,f1447,f1499]) ).
fof(f1536,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f66,f1463,f1476,f1489,f1502]) ).
fof(f1538,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1539,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f1538]) ).
fof(f1541,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1542,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f1541]) ).
fof(f1544,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1545,plain,
( ~ sQ66_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f1544]) ).
fof(f1547,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1549,plain,
( sQ67_spl
| op2(e20,e20) != e23 ),
inference(component_clause,[status(thm)],[f1547]) ).
fof(f1551,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ68_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1554,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1555,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f1554]) ).
fof(f1557,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1558,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f1557]) ).
fof(f1560,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1561,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f1560]) ).
fof(f1563,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f69,f1551,f1554,f1557,f1560]) ).
fof(f1564,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( ~ sQ72_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f1564]) ).
fof(f1567,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1568,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f1567]) ).
fof(f1570,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1571,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1573,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f1573]) ).
fof(f1577,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1578,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f1577]) ).
fof(f1583,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1584,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f1583]) ).
fof(f1590,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1591,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1593,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1594,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f1593]) ).
fof(f1596,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1597,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f1596]) ).
fof(f1599,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1600,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f1599]) ).
fof(f1603,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1606,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1607,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f1606]) ).
fof(f1609,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1610,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f1609]) ).
fof(f1612,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1613,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f1612]) ).
fof(f1615,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f73,f1603,f1606,f1609,f1612]) ).
fof(f1616,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1617,plain,
( ~ sQ88_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f1616]) ).
fof(f1619,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1620,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f1619]) ).
fof(f1622,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1623,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f1622]) ).
fof(f1625,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1626,plain,
( ~ sQ91_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f1625]) ).
fof(f1629,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1630,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f1629]) ).
fof(f1632,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1635,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1636,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f1635]) ).
fof(f1638,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1639,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f1638]) ).
fof(f1641,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f75,f1629,f1632,f1635,f1638]) ).
fof(f1642,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1643,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f1642]) ).
fof(f1645,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1646,plain,
( ~ sQ97_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f1645]) ).
fof(f1648,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1649,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f1648]) ).
fof(f1651,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1652,plain,
( ~ sQ99_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f1651]) ).
fof(f1655,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1658,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1661,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1662,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f1661]) ).
fof(f1664,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1665,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f1664]) ).
fof(f1667,plain,
( sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f77,f1655,f1658,f1661,f1664]) ).
fof(f1668,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1669,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f1668]) ).
fof(f1670,plain,
( sQ104_spl
| op2(e22,e22) != e20 ),
inference(component_clause,[status(thm)],[f1668]) ).
fof(f1671,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1672,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f1671]) ).
fof(f1673,plain,
( sQ105_spl
| op2(e22,e22) != e21 ),
inference(component_clause,[status(thm)],[f1671]) ).
fof(f1674,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1675,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f1674]) ).
fof(f1677,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1678,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f1677]) ).
fof(f1680,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f78,f1668,f1671,f1674,f1677]) ).
fof(f1681,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1684,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1685,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f1684]) ).
fof(f1687,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1688,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f1687]) ).
fof(f1690,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1691,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f1690]) ).
fof(f1694,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1695,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f1694]) ).
fof(f1697,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1698,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f1697]) ).
fof(f1700,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1703,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1704,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f1703]) ).
fof(f1707,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1708,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f1707]) ).
fof(f1710,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1713,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1714,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f1713]) ).
fof(f1716,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1717,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f1716]) ).
fof(f1719,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f81,f1707,f1710,f1713,f1716]) ).
fof(f1720,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1721,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f1720]) ).
fof(f1723,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1724,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f1723]) ).
fof(f1726,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1727,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f1726]) ).
fof(f1729,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1730,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f1729]) ).
fof(f1732,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f82,f1720,f1723,f1726,f1729]) ).
fof(f1733,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1734,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f1733]) ).
fof(f1736,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1742,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1743,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f1742]) ).
fof(f1746,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f1538,f1551,f1564,f1577]) ).
fof(f1747,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f1538,f1590,f1642,f1694]) ).
fof(f1749,plain,
( sQ113_spl
| sQ97_spl
| sQ81_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f87,f1541,f1593,f1645,f1697]) ).
fof(f1750,plain,
( sQ78_spl
| sQ74_spl
| sQ70_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f88,f1544,f1557,f1570,f1583]) ).
fof(f1751,plain,
( sQ114_spl
| sQ98_spl
| sQ82_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f89,f1544,f1596,f1648,f1700]) ).
fof(f1758,plain,
( sQ94_spl
| sQ90_spl
| sQ86_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f96,f1596,f1609,f1622,f1635]) ).
fof(f1760,plain,
( sQ95_spl
| sQ91_spl
| sQ87_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f98,f1599,f1612,f1625,f1638]) ).
fof(f1761,plain,
( sQ119_spl
| sQ103_spl
| sQ87_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f99,f1560,f1612,f1664,f1716]) ).
fof(f1764,plain,
( sQ109_spl
| sQ105_spl
| sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f102,f1645,f1658,f1671,f1684]) ).
fof(f1765,plain,
( sQ121_spl
| sQ105_spl
| sQ89_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f103,f1567,f1619,f1671,f1723]) ).
fof(f1766,plain,
( sQ110_spl
| sQ106_spl
| sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f104,f1648,f1661,f1674,f1687]) ).
fof(f1767,plain,
( sQ122_spl
| sQ106_spl
| sQ90_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f105,f1570,f1622,f1674,f1726]) ).
fof(f1769,plain,
( sQ123_spl
| sQ107_spl
| sQ91_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f107,f1573,f1625,f1677,f1729]) ).
fof(f1770,plain,
( sQ124_spl
| sQ120_spl
| sQ116_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f108,f1694,f1707,f1720,f1733]) ).
fof(f1772,plain,
( sQ125_spl
| sQ121_spl
| sQ117_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f110,f1697,f1710,f1723,f1736]) ).
fof(f1776,plain,
( sQ127_spl
| sQ123_spl
| sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f114,f1703,f1716,f1729,f1742]) ).
fof(f1778,definition,
( sQ128_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1781,definition,
( sQ129_spl
<=> op1(e13,op1(e13,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1782,plain,
( ~ sQ129_spl
| op1(e13,op1(e13,e10)) = e10 ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1783,plain,
( sQ129_spl
| op1(e13,op1(e13,e10)) != e10 ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1784,plain,
( sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f243,f1778,f1781]) ).
fof(f1785,definition,
( sQ130_spl
<=> op1(e13,op1(e13,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1786,plain,
( ~ sQ130_spl
| op1(e13,op1(e13,e11)) = e11 ),
inference(component_clause,[status(thm)],[f1785]) ).
fof(f1789,definition,
( sQ131_spl
<=> op1(e13,op1(e13,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1790,plain,
( ~ sQ131_spl
| op1(e13,op1(e13,e12)) = e12 ),
inference(component_clause,[status(thm)],[f1789]) ).
fof(f1793,definition,
( sQ132_spl
<=> op1(e13,op1(e13,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1794,plain,
( ~ sQ132_spl
| op1(e13,op1(e13,e13)) = e13 ),
inference(component_clause,[status(thm)],[f1793]) ).
fof(f1797,plain,
( sQ12_spl
| ~ sQ3_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f247,f1778,f1307,f1337]) ).
fof(f1801,definition,
( sQ133_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1804,plain,
( sQ63_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f251,f1801,f1502]) ).
fof(f1809,plain,
( ~ sQ63_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f256,f1801,f1502]) ).
fof(f1810,definition,
( sQ134_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1813,definition,
( sQ135_spl
<=> op2(e23,op2(e23,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1814,plain,
( ~ sQ135_spl
| op2(e23,op2(e23,e20)) = e20 ),
inference(component_clause,[status(thm)],[f1813]) ).
fof(f1815,plain,
( sQ135_spl
| op2(e23,op2(e23,e20)) != e20 ),
inference(component_clause,[status(thm)],[f1813]) ).
fof(f1816,plain,
( sQ135_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f260,f1810,f1813]) ).
fof(f1821,definition,
( sQ137_spl
<=> op2(e23,op2(e23,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1822,plain,
( ~ sQ137_spl
| op2(e23,op2(e23,e22)) = e22 ),
inference(component_clause,[status(thm)],[f1821]) ).
fof(f1825,definition,
( sQ138_spl
<=> op2(e23,op2(e23,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1826,plain,
( ~ sQ138_spl
| op2(e23,op2(e23,e23)) = e23 ),
inference(component_clause,[status(thm)],[f1825]) ).
fof(f1829,plain,
( sQ76_spl
| ~ sQ67_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f264,f1810,f1547,f1577]) ).
fof(f1831,plain,
( sQ110_spl
| ~ sQ107_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f266,f1810,f1677,f1687]) ).
fof(f1833,definition,
( sQ139_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1836,plain,
( sQ127_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f268,f1833,f1742]) ).
fof(f1839,plain,
( ~ sQ125_spl
| ~ sQ119_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f271,f1833,f1716,f1736]) ).
fof(f1841,plain,
( ~ sQ127_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f273,f1833,f1742]) ).
fof(f1842,definition,
( sQ140_spl
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1843,plain,
( ~ sQ140_spl
| h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f1842]) ).
fof(f1844,plain,
( sQ140_spl
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f1842]) ).
fof(f1857,definition,
( sQ145_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1859,plain,
( sQ145_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f1857]) ).
fof(f1887,definition,
( sQ155_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1889,plain,
( sQ155_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f1887]) ).
fof(f1890,definition,
( sQ156_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1899,definition,
( sQ159_spl
<=> h1(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1901,plain,
( sQ159_spl
| h1(e10) != e23 ),
inference(component_clause,[status(thm)],[f1899]) ).
fof(f1915,definition,
( sQ163_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1917,plain,
( sQ163_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f1915]) ).
fof(f1918,definition,
( sQ164_spl
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1920,plain,
( sQ164_spl
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f1918]) ).
fof(f1921,definition,
( sQ165_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1923,plain,
( sQ165_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f1921]) ).
fof(f1924,definition,
( sQ166_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1926,plain,
( sQ166_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1924]) ).
fof(f1927,definition,
( sQ167_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1929,plain,
( sQ167_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f1927]) ).
fof(f1930,definition,
( sQ168_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1932,plain,
( sQ168_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f1930]) ).
fof(f1933,definition,
( sQ169_spl
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1935,plain,
( sQ169_spl
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f1933]) ).
fof(f1936,definition,
( sQ170_spl
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1938,plain,
( sQ170_spl
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f1936]) ).
fof(f1939,definition,
( sQ171_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1941,plain,
( sQ171_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1939]) ).
fof(f1942,definition,
( sQ172_spl
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1944,plain,
( sQ172_spl
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(component_clause,[status(thm)],[f1942]) ).
fof(f1945,definition,
( sQ173_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1947,plain,
( sQ173_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1945]) ).
fof(f1948,definition,
( sQ174_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1950,plain,
( sQ174_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1948]) ).
fof(f1951,definition,
( sQ175_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1953,plain,
( sQ175_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f1951]) ).
fof(f1954,definition,
( sQ176_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1956,plain,
( sQ176_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1954]) ).
fof(f1957,definition,
( sQ177_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1959,plain,
( sQ177_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f1957]) ).
fof(f1960,definition,
( sQ178_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1962,plain,
( sQ178_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1960]) ).
fof(f1963,definition,
( sQ179_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1966,definition,
( sQ180_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1969,definition,
( sQ181_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1984,definition,
( sQ185_spl
<=> h2(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1986,plain,
( sQ185_spl
| h2(e13) != e23 ),
inference(component_clause,[status(thm)],[f1984]) ).
fof(f1987,plain,
( ~ sQ185_spl
| sQ181_spl
| sQ180_spl
| sQ179_spl
| ~ sQ178_spl
| ~ sQ177_spl
| ~ sQ176_spl
| ~ sQ175_spl
| ~ sQ174_spl
| ~ sQ173_spl
| ~ sQ172_spl
| ~ sQ171_spl
| ~ sQ170_spl
| ~ sQ169_spl
| ~ sQ168_spl
| ~ sQ167_spl
| ~ sQ166_spl
| ~ sQ165_spl
| ~ sQ164_spl
| ~ sQ163_spl ),
inference(split_clause,[status(thm)],[f317,f1915,f1918,f1921,f1924,f1927,f1930,f1933,f1936,f1939,f1942,f1945,f1948,f1951,f1954,f1957,f1960,f1963,f1966,f1969,f1984]) ).
fof(f1988,definition,
( sQ186_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1990,plain,
( sQ186_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1988]) ).
fof(f2000,definition,
( sQ190_spl
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2001,plain,
( ~ sQ190_spl
| h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f2000]) ).
fof(f2002,plain,
( sQ190_spl
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f2000]) ).
fof(f2003,definition,
( sQ191_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2004,plain,
( ~ sQ191_spl
| h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f2003]) ).
fof(f2005,plain,
( sQ191_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f2003]) ).
fof(f2009,definition,
( sQ193_spl
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f2011,plain,
( sQ193_spl
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(component_clause,[status(thm)],[f2009]) ).
fof(f2027,definition,
( sQ199_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f2029,plain,
( sQ199_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f2027]) ).
fof(f2033,definition,
( sQ201_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2035,plain,
( sQ201_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f2033]) ).
fof(f2036,definition,
( sQ202_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2039,definition,
( sQ203_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2042,definition,
( sQ204_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2045,definition,
( sQ205_spl
<=> h3(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2047,plain,
( sQ205_spl
| h3(e10) != e23 ),
inference(component_clause,[status(thm)],[f2045]) ).
fof(f2061,definition,
( sQ209_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2063,plain,
( sQ209_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f2061]) ).
fof(f2067,definition,
( sQ211_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2069,plain,
( sQ211_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f2067]) ).
fof(f2085,definition,
( sQ217_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2087,plain,
( sQ217_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f2085]) ).
fof(f2091,definition,
( sQ219_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2093,plain,
( sQ219_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f2091]) ).
fof(f2097,definition,
( sQ221_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2099,plain,
( sQ221_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f2097]) ).
fof(f2106,definition,
( sQ224_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2108,plain,
( sQ224_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f2106]) ).
fof(f2109,definition,
( sQ225_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2115,definition,
( sQ227_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2122,definition,
( sQ229_spl
<=> h4(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2123,plain,
( ~ sQ229_spl
| h4(e11) = e23 ),
inference(component_clause,[status(thm)],[f2122]) ).
fof(f2124,plain,
( sQ229_spl
| h4(e11) != e23 ),
inference(component_clause,[status(thm)],[f2122]) ).
fof(f2130,definition,
( sQ231_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2132,plain,
( sQ231_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f2130]) ).
fof(f2134,definition,
( sQ232_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2137,definition,
( sQ233_spl
<=> op1(e12,op1(e12,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2139,plain,
( sQ233_spl
| op1(e12,op1(e12,e10)) != e10 ),
inference(component_clause,[status(thm)],[f2137]) ).
fof(f2140,plain,
( sQ233_spl
| sQ232_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f332,f1778,f2134,f2137]) ).
fof(f2141,definition,
( sQ234_spl
<=> op1(e12,op1(e12,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2142,plain,
( ~ sQ234_spl
| op1(e12,op1(e12,e11)) = e11 ),
inference(component_clause,[status(thm)],[f2141]) ).
fof(f2144,plain,
( sQ234_spl
| sQ232_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f333,f1778,f2134,f2141]) ).
fof(f2145,definition,
( sQ235_spl
<=> op1(e12,op1(e12,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2148,plain,
( sQ235_spl
| sQ232_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f334,f1778,f2134,f2145]) ).
fof(f2149,definition,
( sQ236_spl
<=> op1(e12,op1(e12,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2151,plain,
( sQ236_spl
| op1(e12,op1(e12,e13)) != e13 ),
inference(component_clause,[status(thm)],[f2149]) ).
fof(f2152,plain,
( sQ236_spl
| sQ232_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f335,f1778,f2134,f2149]) ).
fof(f2153,definition,
( sQ237_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2157,definition,
( sQ238_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2168,definition,
( sQ239_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2171,plain,
( sQ59_spl
| sQ239_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f351,f1801,f2168,f1489]) ).
fof(f2172,plain,
( sQ47_spl
| sQ239_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f352,f1801,f2168,f1450]) ).
fof(f2173,definition,
( sQ240_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2177,definition,
( sQ241_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2180,plain,
( sQ241_spl
| sQ239_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f354,f1801,f2168,f2177]) ).
fof(f2181,plain,
( ~ sQ42_spl
| sQ239_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f355,f1801,f2168,f1434]) ).
fof(f2183,plain,
( ~ sQ239_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f357,f1801,f2168]) ).
fof(f2188,definition,
( sQ242_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2191,definition,
( sQ243_spl
<=> op2(e22,op2(e22,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2192,plain,
( ~ sQ243_spl
| op2(e22,op2(e22,e20)) = e20 ),
inference(component_clause,[status(thm)],[f2191]) ).
fof(f2193,plain,
( sQ243_spl
| op2(e22,op2(e22,e20)) != e20 ),
inference(component_clause,[status(thm)],[f2191]) ).
fof(f2199,definition,
( sQ245_spl
<=> op2(e22,op2(e22,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2200,plain,
( ~ sQ245_spl
| op2(e22,op2(e22,e22)) = e22 ),
inference(component_clause,[status(thm)],[f2199]) ).
fof(f2202,plain,
( sQ245_spl
| sQ242_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f370,f1810,f2188,f2199]) ).
fof(f2207,definition,
( sQ247_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2211,definition,
( sQ248_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2222,definition,
( sQ249_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2225,plain,
( sQ123_spl
| sQ249_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f387,f1833,f2222,f1729]) ).
fof(f2227,definition,
( sQ250_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2231,definition,
( sQ251_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2234,plain,
( sQ251_spl
| sQ249_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f390,f1833,f2222,f2231]) ).
fof(f2235,plain,
( ~ sQ106_spl
| sQ249_spl
| ~ sQ139_spl ),
inference(split_clause,[status(thm)],[f391,f1833,f2222,f1674]) ).
fof(f2237,plain,
( ~ sQ249_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f393,f1833,f2222]) ).
fof(f2242,definition,
( sQ252_spl
<=> h1(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2243,plain,
( ~ sQ252_spl
| h1(e10) = e20 ),
inference(component_clause,[status(thm)],[f2242]) ).
fof(f2246,definition,
( sQ253_spl
<=> h1(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2248,plain,
( sQ253_spl
| h1(e11) != e20 ),
inference(component_clause,[status(thm)],[f2246]) ).
fof(f2249,plain,
( ~ sQ253_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f400,f1890,f2246]) ).
fof(f2259,definition,
( sQ256_spl
<=> h1(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2260,plain,
( ~ sQ256_spl
| h1(e10) = e21 ),
inference(component_clause,[status(thm)],[f2259]) ).
fof(f2263,definition,
( sQ257_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2264,plain,
( ~ sQ257_spl
| h1(e11) = e21 ),
inference(component_clause,[status(thm)],[f2263]) ).
fof(f2280,definition,
( sQ261_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2281,plain,
( ~ sQ261_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f2280]) ).
fof(f2293,definition,
( sQ264_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2294,plain,
( ~ sQ264_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f2293]) ).
fof(f2295,plain,
( sQ264_spl
| h2(e10) != e20 ),
inference(component_clause,[status(thm)],[f2293]) ).
fof(f2296,plain,
( ~ sQ264_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f417,f1963,f2293]) ).
fof(f2297,definition,
( sQ265_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2298,plain,
( ~ sQ265_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f2297]) ).
fof(f2301,definition,
( sQ266_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2302,plain,
( ~ sQ266_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f2301]) ).
fof(f2310,definition,
( sQ268_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2311,plain,
( ~ sQ268_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f2310]) ).
fof(f2314,definition,
( sQ269_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2316,plain,
( sQ269_spl
| h2(e11) != e21 ),
inference(component_clause,[status(thm)],[f2314]) ).
fof(f2317,plain,
( ~ sQ269_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f424,f1966,f2314]) ).
fof(f2318,definition,
( sQ270_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2319,plain,
( ~ sQ270_spl
| h2(e12) = e21 ),
inference(component_clause,[status(thm)],[f2318]) ).
fof(f2327,definition,
( sQ272_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2328,plain,
( ~ sQ272_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f2327]) ).
fof(f2331,definition,
( sQ273_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2332,plain,
( ~ sQ273_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f2331]) ).
fof(f2335,definition,
( sQ274_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2336,plain,
( ~ sQ274_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f2335]) ).
fof(f2337,plain,
( sQ274_spl
| h2(e12) != e22 ),
inference(component_clause,[status(thm)],[f2335]) ).
fof(f2338,plain,
( ~ sQ274_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f431,f1969,f2335]) ).
fof(f2344,definition,
( sQ276_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2345,plain,
( ~ sQ276_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f2344]) ).
fof(f2346,plain,
( sQ276_spl
| h3(e10) != e20 ),
inference(component_clause,[status(thm)],[f2344]) ).
fof(f2348,definition,
( sQ277_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2349,plain,
( ~ sQ277_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f2348]) ).
fof(f2356,definition,
( sQ279_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2357,plain,
( ~ sQ279_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f2356]) ).
fof(f2358,plain,
( sQ279_spl
| h3(e13) != e20 ),
inference(component_clause,[status(thm)],[f2356]) ).
fof(f2359,plain,
( ~ sQ279_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f438,f2036,f2356]) ).
fof(f2361,definition,
( sQ280_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2362,plain,
( ~ sQ280_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f2361]) ).
fof(f2363,plain,
( sQ280_spl
| h3(e10) != e21 ),
inference(component_clause,[status(thm)],[f2361]) ).
fof(f2364,plain,
( ~ sQ280_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f441,f2039,f2361]) ).
fof(f2365,definition,
( sQ281_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2366,plain,
( ~ sQ281_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f2365]) ).
fof(f2378,definition,
( sQ284_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2379,plain,
( ~ sQ284_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f2378]) ).
fof(f2380,plain,
( sQ284_spl
| h3(e10) != e22 ),
inference(component_clause,[status(thm)],[f2378]) ).
fof(f2382,definition,
( sQ285_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2384,plain,
( sQ285_spl
| h3(e11) != e22 ),
inference(component_clause,[status(thm)],[f2382]) ).
fof(f2385,plain,
( ~ sQ285_spl
| ~ sQ204_spl ),
inference(split_clause,[status(thm)],[f448,f2042,f2382]) ).
fof(f2390,definition,
( sQ287_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2391,plain,
( ~ sQ287_spl
| h3(e13) = e22 ),
inference(component_clause,[status(thm)],[f2390]) ).
fof(f2395,definition,
( sQ288_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2396,plain,
( ~ sQ288_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f2395]) ).
fof(f2397,plain,
( sQ288_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f2395]) ).
fof(f2398,plain,
( ~ sQ288_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f453,f2109,f2395]) ).
fof(f2399,definition,
( sQ289_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2400,plain,
( ~ sQ289_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f2399]) ).
fof(f2403,definition,
( sQ290_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2404,plain,
( ~ sQ290_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f2403]) ).
fof(f2412,definition,
( sQ292_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2413,plain,
( ~ sQ292_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f2412]) ).
fof(f2416,definition,
( sQ293_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2417,plain,
( ~ sQ293_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f2416]) ).
fof(f2420,definition,
( sQ294_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2421,plain,
( ~ sQ294_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f2420]) ).
fof(f2429,definition,
( sQ296_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2430,plain,
( ~ sQ296_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f2429]) ).
fof(f2433,definition,
( sQ297_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2434,plain,
( ~ sQ297_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f2433]) ).
fof(f2437,definition,
( sQ298_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2438,plain,
( ~ sQ298_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f2437]) ).
fof(f2439,plain,
( sQ298_spl
| h4(e12) != e22 ),
inference(component_clause,[status(thm)],[f2437]) ).
fof(f2440,plain,
( ~ sQ298_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f467,f2115,f2437]) ).
fof(f2446,definition,
( sQ300_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f2449,definition,
( sQ301_spl
<=> op1(e11,op1(e11,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2452,plain,
( sQ301_spl
| sQ300_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f476,f2134,f2446,f2449]) ).
fof(f2453,definition,
( sQ302_spl
<=> op1(e11,op1(e11,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2455,plain,
( sQ302_spl
| op1(e11,op1(e11,e11)) != e11 ),
inference(component_clause,[status(thm)],[f2453]) ).
fof(f2457,definition,
( sQ303_spl
<=> op1(e11,op1(e11,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f2460,plain,
( sQ303_spl
| sQ300_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f478,f2134,f2446,f2457]) ).
fof(f2461,definition,
( sQ304_spl
<=> op1(e11,op1(e11,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2464,plain,
( sQ304_spl
| sQ300_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f479,f2134,f2446,f2461]) ).
fof(f2465,definition,
( sQ305_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2469,definition,
( sQ306_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f2473,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ300_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f482,f2134,f2446,f1431,f1421]) ).
fof(f2474,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ300_spl
| ~ sQ232_spl ),
inference(split_clause,[status(thm)],[f483,f2134,f2446,f1496,f1476]) ).
fof(f2481,plain,
( sQ2_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f491,f2153,f1304]) ).
fof(f2484,plain,
( sQ22_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f495,f2157,f1369]) ).
fof(f2486,definition,
( sQ307_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2489,plain,
( sQ55_spl
| sQ307_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f503,f2168,f2486,f1476]) ).
fof(f2490,plain,
( sQ31_spl
| sQ307_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f504,f2168,f2486,f1398]) ).
fof(f2491,definition,
( sQ308_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2494,plain,
( sQ308_spl
| sQ307_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f505,f2168,f2486,f2491]) ).
fof(f2495,definition,
( sQ309_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2501,plain,
( ~ sQ307_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f509,f2168,f2486]) ).
fof(f2507,plain,
( sQ34_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f516,f2173,f1408]) ).
fof(f2509,plain,
( ~ sQ41_spl
| ~ sQ38_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f519,f2177,f1421,f1431]) ).
fof(f2510,plain,
( sQ38_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f520,f2177,f1421]) ).
fof(f2511,plain,
( sQ41_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f521,f2177,f1431]) ).
fof(f2512,definition,
( sQ310_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f2515,definition,
( sQ311_spl
<=> op2(e21,op2(e21,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f2517,plain,
( sQ311_spl
| op2(e21,op2(e21,e20)) != e20 ),
inference(component_clause,[status(thm)],[f2515]) ).
fof(f2519,definition,
( sQ312_spl
<=> op2(e21,op2(e21,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f2520,plain,
( ~ sQ312_spl
| op2(e21,op2(e21,e21)) = e21 ),
inference(component_clause,[status(thm)],[f2519]) ).
fof(f2521,plain,
( sQ312_spl
| op2(e21,op2(e21,e21)) != e21 ),
inference(component_clause,[status(thm)],[f2519]) ).
fof(f2523,definition,
( sQ313_spl
<=> op2(e21,op2(e21,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f2526,plain,
( sQ313_spl
| sQ310_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f530,f2188,f2512,f2523]) ).
fof(f2527,definition,
( sQ314_spl
<=> op2(e21,op2(e21,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f2530,plain,
( sQ314_spl
| sQ310_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f531,f2188,f2512,f2527]) ).
fof(f2531,definition,
( sQ315_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f2535,definition,
( sQ316_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f2539,plain,
( sQ102_spl
| ~ sQ105_spl
| sQ310_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f534,f2188,f2512,f1671,f1661]) ).
fof(f2547,plain,
( sQ66_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f543,f2207,f1544]) ).
fof(f2550,plain,
( sQ86_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f547,f2211,f1609]) ).
fof(f2552,definition,
( sQ317_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f2555,plain,
( sQ119_spl
| sQ317_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f555,f2222,f2552,f1716]) ).
fof(f2556,plain,
( sQ95_spl
| sQ317_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f556,f2222,f2552,f1638]) ).
fof(f2557,definition,
( sQ318_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f2560,plain,
( sQ318_spl
| sQ317_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f557,f2222,f2552,f2557]) ).
fof(f2561,definition,
( sQ319_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f2567,plain,
( ~ sQ317_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f561,f2222,f2552]) ).
fof(f2573,plain,
( sQ98_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f568,f2227,f1648]) ).
fof(f2575,plain,
( ~ sQ105_spl
| ~ sQ102_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f571,f2231,f1661,f1671]) ).
fof(f2577,plain,
( sQ105_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f573,f2231,f1671]) ).
fof(f2578,definition,
( sQ320_spl
<=> op1(e10,op1(e10,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f2579,plain,
( ~ sQ320_spl
| op1(e10,op1(e10,e10)) = e10 ),
inference(component_clause,[status(thm)],[f2578]) ).
fof(f2581,plain,
( sQ320_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f578,f2446,f2578]) ).
fof(f2582,definition,
( sQ321_spl
<=> op1(e10,op1(e10,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f2584,plain,
( sQ321_spl
| op1(e10,op1(e10,e11)) != e11 ),
inference(component_clause,[status(thm)],[f2582]) ).
fof(f2586,definition,
( sQ322_spl
<=> op1(e10,op1(e10,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f2587,plain,
( ~ sQ322_spl
| op1(e10,op1(e10,e12)) = e12 ),
inference(component_clause,[status(thm)],[f2586]) ).
fof(f2589,plain,
( sQ322_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f580,f2446,f2586]) ).
fof(f2594,definition,
( sQ324_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f2598,definition,
( sQ325_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f2601,plain,
( sQ325_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f583,f2446,f2598]) ).
fof(f2603,plain,
( sQ51_spl
| ~ sQ60_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f585,f2446,f1493,f1463]) ).
fof(f2609,plain,
( sQ1_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f592,f2465,f1301]) ).
fof(f2612,plain,
( sQ21_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f596,f2469,f1366]) ).
fof(f2614,definition,
( sQ326_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2617,plain,
( sQ51_spl
| sQ326_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f604,f2486,f2614,f1463]) ).
fof(f2619,definition,
( sQ327_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2623,definition,
( sQ328_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2629,plain,
( ~ sQ326_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f610,f2486,f2614]) ).
fof(f2634,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f616,f2491,f1353,f1363]) ).
fof(f2635,plain,
( sQ17_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f617,f2491,f1353]) ).
fof(f2638,plain,
( sQ21_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f621,f2495,f1366]) ).
fof(f2640,definition,
( sQ329_spl
<=> op2(e20,op2(e20,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f2641,plain,
( ~ sQ329_spl
| op2(e20,op2(e20,e20)) = e20 ),
inference(component_clause,[status(thm)],[f2640]) ).
fof(f2642,plain,
( sQ329_spl
| op2(e20,op2(e20,e20)) != e20 ),
inference(component_clause,[status(thm)],[f2640]) ).
fof(f2643,plain,
( sQ329_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f627,f2512,f2640]) ).
fof(f2644,definition,
( sQ330_spl
<=> op2(e20,op2(e20,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f2646,plain,
( sQ330_spl
| op2(e20,op2(e20,e21)) != e21 ),
inference(component_clause,[status(thm)],[f2644]) ).
fof(f2648,definition,
( sQ331_spl
<=> op2(e20,op2(e20,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f2649,plain,
( ~ sQ331_spl
| op2(e20,op2(e20,e22)) = e22 ),
inference(component_clause,[status(thm)],[f2648]) ).
fof(f2656,definition,
( sQ333_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f2660,definition,
( sQ334_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f2665,plain,
( sQ115_spl
| ~ sQ124_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f634,f2512,f1733,f1703]) ).
fof(f2671,plain,
( sQ65_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f641,f2531,f1541]) ).
fof(f2674,plain,
( sQ85_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f645,f2535,f1606]) ).
fof(f2676,definition,
( sQ335_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f2679,plain,
( sQ115_spl
| sQ335_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f653,f2552,f2676,f1703]) ).
fof(f2681,definition,
( sQ336_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f2685,definition,
( sQ337_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f2691,plain,
( ~ sQ335_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f659,f2552,f2676]) ).
fof(f2696,plain,
( ~ sQ84_spl
| ~ sQ81_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f665,f2557,f1593,f1603]) ).
fof(f2700,plain,
( sQ85_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f670,f2561,f1606]) ).
fof(f2703,plain,
( sQ0_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f674,f2594,f1298]) ).
fof(f2705,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f677,f2598,f1363,f1353]) ).
fof(f2707,plain,
( ~ sQ17_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f679,f2598,f1353]) ).
fof(f2708,definition,
( sQ338_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f2712,plain,
( sQ58_spl
| sQ338_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f687,f2614,f2708,f1486]) ).
fof(f2713,definition,
( sQ339_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f2717,definition,
( sQ340_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f2723,plain,
( ~ sQ338_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f692,f2614,f2708]) ).
fof(f2729,plain,
( sQ0_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f699,f2619,f1298]) ).
fof(f2733,plain,
( sQ1_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f704,f2623,f1301]) ).
fof(f2735,plain,
( sQ64_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f707,f2656,f1538]) ).
fof(f2739,plain,
( ~ sQ81_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f712,f2660,f1593]) ).
fof(f2740,definition,
( sQ341_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f2743,plain,
( sQ110_spl
| sQ341_spl
| ~ sQ335_spl ),
inference(split_clause,[status(thm)],[f719,f2676,f2740,f1687]) ).
fof(f2744,plain,
( sQ122_spl
| sQ341_spl
| ~ sQ335_spl ),
inference(split_clause,[status(thm)],[f720,f2676,f2740,f1726]) ).
fof(f2745,definition,
( sQ342_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f2749,definition,
( sQ343_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f2755,plain,
( ~ sQ341_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f725,f2676,f2740]) ).
fof(f2761,plain,
( sQ64_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f732,f2681,f1538]) ).
fof(f2765,plain,
( sQ65_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f737,f2685,f1541]) ).
fof(f2766,definition,
( sQ344_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f2769,plain,
( sQ42_spl
| sQ344_spl
| ~ sQ338_spl ),
inference(split_clause,[status(thm)],[f744,f2708,f2766,f1434]) ).
fof(f2771,definition,
( sQ345_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f2775,definition,
( sQ346_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f2779,plain,
( ~ sQ42_spl
| sQ344_spl
| ~ sQ338_spl ),
inference(split_clause,[status(thm)],[f748,f2708,f2766,f1434]) ).
fof(f2781,plain,
( ~ sQ344_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f750,f2708,f2766]) ).
fof(f2787,plain,
( sQ51_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f757,f2713,f1463]) ).
fof(f2790,plain,
( sQ55_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f761,f2717,f1476]) ).
fof(f2791,plain,
( sQ61_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f762,f2717,f1496]) ).
fof(f2792,definition,
( sQ347_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f2795,plain,
( sQ106_spl
| sQ347_spl
| ~ sQ341_spl ),
inference(split_clause,[status(thm)],[f769,f2740,f2792,f1674]) ).
fof(f2797,definition,
( sQ348_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f2801,definition,
( sQ349_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f2805,plain,
( ~ sQ106_spl
| sQ347_spl
| ~ sQ341_spl ),
inference(split_clause,[status(thm)],[f773,f2740,f2792,f1674]) ).
fof(f2807,plain,
( ~ sQ347_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f775,f2740,f2792]) ).
fof(f2813,plain,
( sQ115_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f782,f2745,f1703]) ).
fof(f2815,plain,
( ~ sQ125_spl
| ~ sQ119_spl
| ~ sQ343_spl ),
inference(split_clause,[status(thm)],[f785,f2749,f1716,f1736]) ).
fof(f2816,plain,
( sQ119_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f786,f2749,f1716]) ).
fof(f2818,definition,
( sQ350_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f2821,plain,
( sQ38_spl
| sQ350_spl
| ~ sQ344_spl ),
inference(split_clause,[status(thm)],[f794,f2766,f2818,f1421]) ).
fof(f2822,plain,
( sQ26_spl
| sQ350_spl
| ~ sQ344_spl ),
inference(split_clause,[status(thm)],[f795,f2766,f2818,f1382]) ).
fof(f2823,definition,
( sQ351_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f2826,plain,
( sQ351_spl
| sQ350_spl
| ~ sQ344_spl ),
inference(split_clause,[status(thm)],[f796,f2766,f2818,f2823]) ).
fof(f2827,definition,
( sQ352_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f2833,plain,
( ~ sQ350_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f800,f2766,f2818]) ).
fof(f2837,plain,
( sQ23_spl
| sQ22_spl
| ~ sQ352_spl
| ~ sQ351_spl
| ~ sQ26_spl
| ~ sQ38_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f804,f2766,f1421,f1382,f2823,f2827,f1369,f1372]) ).
fof(f2839,plain,
( sQ34_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f807,f2771,f1408]) ).
fof(f2842,plain,
( sQ38_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f811,f2775,f1421]) ).
fof(f2843,plain,
( sQ41_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f812,f2775,f1431]) ).
fof(f2844,definition,
( sQ353_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f2847,plain,
( sQ102_spl
| sQ353_spl
| ~ sQ347_spl ),
inference(split_clause,[status(thm)],[f819,f2792,f2844,f1661]) ).
fof(f2849,definition,
( sQ354_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f2852,plain,
( sQ354_spl
| sQ353_spl
| ~ sQ347_spl ),
inference(split_clause,[status(thm)],[f821,f2792,f2844,f2849]) ).
fof(f2853,definition,
( sQ355_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f2859,plain,
( ~ sQ353_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f825,f2792,f2844]) ).
fof(f2865,plain,
( sQ98_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f832,f2797,f1648]) ).
fof(f2869,plain,
( sQ105_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f837,f2801,f1671]) ).
fof(f2870,definition,
( sQ356_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f2873,plain,
( sQ34_spl
| sQ356_spl
| ~ sQ350_spl ),
inference(split_clause,[status(thm)],[f844,f2818,f2870,f1408]) ).
fof(f2875,definition,
( sQ357_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f2879,definition,
( sQ358_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f2885,plain,
( ~ sQ356_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f850,f2818,f2870]) ).
fof(f2890,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ351_spl ),
inference(split_clause,[status(thm)],[f856,f2823,f1353,f1363]) ).
fof(f2891,plain,
( sQ17_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f857,f2823,f1353]) ).
fof(f2894,plain,
( sQ21_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f861,f2827,f1366]) ).
fof(f2896,definition,
( sQ359_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f2899,plain,
( sQ98_spl
| sQ359_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f869,f2844,f2896,f1648]) ).
fof(f2901,definition,
( sQ360_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f2905,definition,
( sQ361_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f2911,plain,
( ~ sQ359_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f875,f2844,f2896]) ).
fof(f2916,plain,
( ~ sQ84_spl
| ~ sQ81_spl
| ~ sQ354_spl ),
inference(split_clause,[status(thm)],[f881,f2849,f1593,f1603]) ).
fof(f2920,plain,
( sQ85_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f886,f2853,f1606]) ).
fof(f2922,definition,
( sQ362_spl
<=> sP74_prd ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f2925,plain,
( sQ29_spl
| sQ362_spl
| ~ sQ356_spl ),
inference(split_clause,[status(thm)],[f894,f2870,f2922,f1392]) ).
fof(f2926,plain,
( sQ53_spl
| sQ362_spl
| ~ sQ356_spl ),
inference(split_clause,[status(thm)],[f895,f2870,f2922,f1470]) ).
fof(f2927,definition,
( sQ363_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f2931,definition,
( sQ364_spl
<=> sP76_prd ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f2937,plain,
( ~ sQ362_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f900,f2870,f2922]) ).
fof(f2940,plain,
( sQ63_spl
| sQ62_spl
| ~ sQ364_spl
| ~ sQ363_spl
| ~ sQ53_spl
| ~ sQ29_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f903,f2870,f1392,f1470,f2927,f2931,f1499,f1502]) ).
fof(f2943,plain,
( sQ0_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f907,f2875,f1298]) ).
fof(f2947,plain,
( sQ1_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f912,f2879,f1301]) ).
fof(f2948,definition,
( sQ365_spl
<=> sP77_prd ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f2951,plain,
( sQ93_spl
| sQ365_spl
| ~ sQ359_spl ),
inference(split_clause,[status(thm)],[f919,f2896,f2948,f1632]) ).
fof(f2953,definition,
( sQ366_spl
<=> sP78_prd ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f2957,definition,
( sQ367_spl
<=> sP79_prd ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f2963,plain,
( ~ sQ365_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f925,f2896,f2948]) ).
fof(f2969,plain,
( sQ64_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f932,f2901,f1538]) ).
fof(f2973,plain,
( sQ65_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f937,f2905,f1541]) ).
fof(f2974,definition,
( sQ368_spl
<=> sP80_prd ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f2977,plain,
( sQ25_spl
| sQ368_spl
| ~ sQ362_spl ),
inference(split_clause,[status(thm)],[f944,f2922,f2974,f1379]) ).
fof(f2978,plain,
( sQ37_spl
| sQ368_spl
| ~ sQ362_spl ),
inference(split_clause,[status(thm)],[f945,f2922,f2974,f1418]) ).
fof(f2979,definition,
( sQ369_spl
<=> sP81_prd ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f2983,definition,
( sQ370_spl
<=> sP82_prd ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f2987,plain,
( ~ sQ42_spl
| sQ368_spl
| ~ sQ362_spl ),
inference(split_clause,[status(thm)],[f948,f2922,f2974,f1434]) ).
fof(f2989,plain,
( ~ sQ368_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f950,f2922,f2974]) ).
fof(f2995,plain,
( sQ51_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f957,f2927,f1463]) ).
fof(f2998,plain,
( sQ55_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f961,f2931,f1476]) ).
fof(f2999,plain,
( sQ61_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f962,f2931,f1496]) ).
fof(f3000,definition,
( sQ371_spl
<=> sP83_prd ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f3003,plain,
( sQ89_spl
| sQ371_spl
| ~ sQ365_spl ),
inference(split_clause,[status(thm)],[f969,f2948,f3000,f1619]) ).
fof(f3004,plain,
( sQ101_spl
| sQ371_spl
| ~ sQ365_spl ),
inference(split_clause,[status(thm)],[f970,f2948,f3000,f1658]) ).
fof(f3005,definition,
( sQ372_spl
<=> sP84_prd ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f3009,definition,
( sQ373_spl
<=> sP85_prd ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f3013,plain,
( ~ sQ106_spl
| sQ371_spl
| ~ sQ365_spl ),
inference(split_clause,[status(thm)],[f973,f2948,f3000,f1674]) ).
fof(f3014,plain,
( ~ sQ107_spl
| ~ sQ110_spl
| sQ371_spl
| ~ sQ365_spl ),
inference(split_clause,[status(thm)],[f974,f2948,f3000,f1687,f1677]) ).
fof(f3015,plain,
( ~ sQ371_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f975,f2948,f3000]) ).
fof(f3021,plain,
( sQ115_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f982,f2953,f1703]) ).
fof(f3023,plain,
( ~ sQ125_spl
| ~ sQ119_spl
| ~ sQ367_spl ),
inference(split_clause,[status(thm)],[f985,f2957,f1716,f1736]) ).
fof(f3024,plain,
( sQ119_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f986,f2957,f1716]) ).
fof(f3026,definition,
( sQ374_spl
<=> sP86_prd ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f3029,plain,
( sQ21_spl
| sQ374_spl
| ~ sQ368_spl ),
inference(split_clause,[status(thm)],[f994,f2974,f3026,f1366]) ).
fof(f3031,definition,
( sQ375_spl
<=> sP87_prd ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f3035,definition,
( sQ376_spl
<=> sP88_prd ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f3041,plain,
( ~ sQ374_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f1000,f2974,f3026]) ).
fof(f3047,plain,
( sQ34_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f1007,f2979,f1408]) ).
fof(f3050,plain,
( sQ38_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f1011,f2983,f1421]) ).
fof(f3051,plain,
( sQ41_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f1012,f2983,f1431]) ).
fof(f3052,definition,
( sQ377_spl
<=> sP89_prd ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f3055,plain,
( sQ85_spl
| sQ377_spl
| ~ sQ371_spl ),
inference(split_clause,[status(thm)],[f1019,f3000,f3052,f1606]) ).
fof(f3057,definition,
( sQ378_spl
<=> sP90_prd ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f3061,definition,
( sQ379_spl
<=> sP91_prd ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f3067,plain,
( ~ sQ377_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f1025,f3000,f3052]) ).
fof(f3073,plain,
( sQ98_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f1032,f3005,f1648]) ).
fof(f3077,plain,
( sQ105_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f1037,f3009,f1671]) ).
fof(f3078,definition,
( sQ380_spl
<=> sP92_prd ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f3082,plain,
( sQ5_spl
| sQ380_spl
| ~ sQ374_spl ),
inference(split_clause,[status(thm)],[f1045,f3026,f3078,f1314]) ).
fof(f3083,definition,
( sQ381_spl
<=> sP93_prd ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f3087,definition,
( sQ382_spl
<=> sP94_prd ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f3092,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sQ380_spl
| ~ sQ374_spl ),
inference(split_clause,[status(thm)],[f1049,f3026,f3078,f1337,f1307]) ).
fof(f3093,plain,
( ~ sQ380_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f1050,f3026,f3078]) ).
fof(f3096,plain,
( sQ12_spl
| sQ2_spl
| ~ sQ382_spl
| ~ sQ381_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f1053,f3026,f1353,f1314,f3083,f3087,f1304,f1337]) ).
fof(f3098,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ375_spl ),
inference(split_clause,[status(thm)],[f1056,f3031,f1353,f1363]) ).
fof(f3099,plain,
( sQ17_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f1057,f3031,f1353]) ).
fof(f3102,plain,
( sQ21_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f1061,f3035,f1366]) ).
fof(f3104,definition,
( sQ383_spl
<=> sP95_prd ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f3108,plain,
( sQ69_spl
| sQ383_spl
| ~ sQ377_spl ),
inference(split_clause,[status(thm)],[f1070,f3052,f3104,f1554]) ).
fof(f3109,definition,
( sQ384_spl
<=> sP96_prd ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f3113,definition,
( sQ385_spl
<=> sP97_prd ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f3118,plain,
( ~ sQ67_spl
| ~ sQ76_spl
| sQ383_spl
| ~ sQ377_spl ),
inference(split_clause,[status(thm)],[f1074,f3052,f3104,f1577,f1547]) ).
fof(f3119,plain,
( ~ sQ383_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f1075,f3052,f3104]) ).
fof(f3124,plain,
( ~ sQ84_spl
| ~ sQ81_spl
| ~ sQ378_spl ),
inference(split_clause,[status(thm)],[f1081,f3057,f1593,f1603]) ).
fof(f3128,plain,
( sQ85_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f1086,f3061,f1606]) ).
fof(f3130,definition,
( sQ386_spl
<=> sP98_prd ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f3134,plain,
( sQ48_spl
| sQ386_spl
| ~ sQ380_spl ),
inference(split_clause,[status(thm)],[f1095,f3078,f3130,f1454]) ).
fof(f3135,definition,
( sQ387_spl
<=> sP99_prd ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f3139,definition,
( sQ388_spl
<=> sP100_prd ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f3145,plain,
( ~ sQ386_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f1100,f3078,f3130]) ).
fof(f3151,plain,
( sQ0_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f1107,f3083,f1298]) ).
fof(f3155,plain,
( sQ1_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f1112,f3087,f1301]) ).
fof(f3156,definition,
( sQ389_spl
<=> sP101_prd ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f3159,plain,
( sQ76_spl
| sQ389_spl
| ~ sQ383_spl ),
inference(split_clause,[status(thm)],[f1119,f3104,f3156,f1577]) ).
fof(f3160,plain,
( sQ112_spl
| sQ389_spl
| ~ sQ383_spl ),
inference(split_clause,[status(thm)],[f1120,f3104,f3156,f1694]) ).
fof(f3161,definition,
( sQ390_spl
<=> sP102_prd ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f3165,definition,
( sQ391_spl
<=> sP103_prd ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f3171,plain,
( ~ sQ389_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f1125,f3104,f3156]) ).
fof(f3177,plain,
( sQ64_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f1132,f3109,f1538]) ).
fof(f3181,plain,
( sQ65_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f1137,f3113,f1541]) ).
fof(f3182,definition,
( sQ392_spl
<=> sP104_prd ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f3185,plain,
( sQ8_spl
| sQ392_spl
| ~ sQ386_spl ),
inference(split_clause,[status(thm)],[f1144,f3130,f3182,f1324]) ).
fof(f3186,plain,
( sQ32_spl
| sQ392_spl
| ~ sQ386_spl ),
inference(split_clause,[status(thm)],[f1145,f3130,f3182,f1402]) ).
fof(f3187,definition,
( sQ393_spl
<=> sP105_prd ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f3191,definition,
( sQ394_spl
<=> sP106_prd ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f3194,plain,
( sQ394_spl
| sQ392_spl
| ~ sQ386_spl ),
inference(split_clause,[status(thm)],[f1147,f3130,f3182,f3191]) ).
fof(f3195,plain,
( ~ sQ42_spl
| sQ392_spl
| ~ sQ386_spl ),
inference(split_clause,[status(thm)],[f1148,f3130,f3182,f1434]) ).
fof(f3196,plain,
( ~ sQ43_spl
| ~ sQ46_spl
| sQ392_spl
| ~ sQ386_spl ),
inference(split_clause,[status(thm)],[f1149,f3130,f3182,f1447,f1437]) ).
fof(f3198,plain,
( sQ46_spl
| sQ42_spl
| ~ sQ394_spl
| ~ sQ393_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f1151,f3130,f1324,f1402,f3187,f3191,f1434,f1447]) ).
fof(f3203,plain,
( sQ51_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f1157,f3135,f1463]) ).
fof(f3206,plain,
( sQ55_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f1161,f3139,f1476]) ).
fof(f3207,plain,
( sQ61_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f1162,f3139,f1496]) ).
fof(f3208,definition,
( sQ395_spl
<=> sP107_prd ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f3211,plain,
( sQ72_spl
| sQ395_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1169,f3156,f3208,f1564]) ).
fof(f3213,definition,
( sQ396_spl
<=> sP108_prd ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f3217,definition,
( sQ397_spl
<=> sP109_prd ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f3220,plain,
( sQ397_spl
| sQ395_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1172,f3156,f3208,f3217]) ).
fof(f3221,plain,
( ~ sQ106_spl
| sQ395_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1173,f3156,f3208,f1674]) ).
fof(f3222,plain,
( ~ sQ107_spl
| ~ sQ110_spl
| sQ395_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1174,f3156,f3208,f1687,f1677]) ).
fof(f3225,plain,
( sQ107_spl
| sQ106_spl
| ~ sQ397_spl
| ~ sQ396_spl
| ~ sQ96_spl
| ~ sQ72_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f1177,f3156,f1564,f1642,f3213,f3217,f1674,f1677]) ).
fof(f3229,plain,
( sQ115_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f1182,f3161,f1703]) ).
fof(f3231,plain,
( ~ sQ125_spl
| ~ sQ119_spl
| ~ sQ391_spl ),
inference(split_clause,[status(thm)],[f1185,f3165,f1716,f1736]) ).
fof(f3232,plain,
( sQ119_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f1186,f3165,f1716]) ).
fof(f3234,definition,
( sQ398_spl
<=> sP110_prd ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f3237,plain,
( sQ4_spl
| sQ398_spl
| ~ sQ392_spl ),
inference(split_clause,[status(thm)],[f1194,f3182,f3234,f1311]) ).
fof(f3239,definition,
( sQ399_spl
<=> sP111_prd ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f3243,definition,
( sQ400_spl
<=> sP112_prd ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f3255,plain,
( sQ34_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f1207,f3187,f1408]) ).
fof(f3257,plain,
( ~ sQ41_spl
| ~ sQ38_spl
| ~ sQ394_spl ),
inference(split_clause,[status(thm)],[f1210,f3191,f1421,f1431]) ).
fof(f3258,plain,
( sQ38_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f1211,f3191,f1421]) ).
fof(f3259,plain,
( sQ41_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f1212,f3191,f1431]) ).
fof(f3260,definition,
( sQ401_spl
<=> sP113_prd ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f3263,plain,
( sQ68_spl
| sQ401_spl
| ~ sQ395_spl ),
inference(split_clause,[status(thm)],[f1219,f3208,f3260,f1551]) ).
fof(f3265,definition,
( sQ402_spl
<=> sP114_prd ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f3269,definition,
( sQ403_spl
<=> sP115_prd ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f3281,plain,
( sQ98_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f1232,f3213,f1648]) ).
fof(f3283,plain,
( ~ sQ105_spl
| ~ sQ102_spl
| ~ sQ397_spl ),
inference(split_clause,[status(thm)],[f1235,f3217,f1661,f1671]) ).
fof(f3284,plain,
( sQ102_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f1236,f3217,f1661]) ).
fof(f3285,plain,
( sQ105_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f1237,f3217,f1671]) ).
fof(f3286,plain,
( sQ0_spl
| ~ sQ398_spl ),
inference(split_clause,[status(thm)],[f1242,f3234,f1298]) ).
fof(f3288,definition,
( sQ404_spl
<=> sP116_prd ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f3292,definition,
( sQ405_spl
<=> sP117_prd ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f3302,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ399_spl ),
inference(split_clause,[status(thm)],[f1253,f3239,f1353,f1363]) ).
fof(f3303,plain,
( sQ17_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f1254,f3239,f1353]) ).
fof(f3306,plain,
( sQ21_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f1258,f3243,f1366]) ).
fof(f3308,plain,
( sQ64_spl
| ~ sQ401_spl ),
inference(split_clause,[status(thm)],[f1264,f3260,f1538]) ).
fof(f3310,definition,
( sQ406_spl
<=> sP118_prd ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f3314,definition,
( sQ407_spl
<=> sP119_prd ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f3324,plain,
( ~ sQ84_spl
| ~ sQ81_spl
| ~ sQ402_spl ),
inference(split_clause,[status(thm)],[f1275,f3265,f1593,f1603]) ).
fof(f3328,plain,
( sQ85_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f1280,f3269,f1606]) ).
fof(f3331,plain,
( sQ0_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f1284,f3288,f1298]) ).
fof(f3335,plain,
( sQ1_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f1289,f3292,f1301]) ).
fof(f3337,plain,
( sQ64_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f1292,f3310,f1538]) ).
fof(f3341,plain,
( sQ65_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f1297,f3314,f1541]) ).
fof(f3345,plain,
( sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f2124]) ).
fof(f3346,plain,
sQ229_spl,
inference(contradiction_clause,[status(thm)],[f3345]) ).
fof(f3356,plain,
( sQ219_spl
| ~ sQ298_spl
| h4(op1(e12,e12)) != op2(e22,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2438,f2093]) ).
fof(f3357,plain,
( sQ219_spl
| ~ sQ298_spl
| h4(op1(e12,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2438,f3356]) ).
fof(f3365,plain,
( ~ sQ294_spl
| ~ sQ298_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2438,f2421]) ).
fof(f3366,plain,
( ~ sQ294_spl
| ~ sQ298_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3365,f221]) ).
fof(f3367,plain,
( ~ sQ294_spl
| ~ sQ298_spl ),
inference(contradiction_clause,[status(thm)],[f3366]) ).
fof(f3386,plain,
( ~ sQ281_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f288,f2366]) ).
fof(f3387,plain,
( ~ sQ281_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3386,f221]) ).
fof(f3388,plain,
~ sQ281_spl,
inference(contradiction_clause,[status(thm)],[f3387]) ).
fof(f3390,plain,
( ~ sQ280_spl
| ~ sQ284_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2379,f2362]) ).
fof(f3391,plain,
( ~ sQ280_spl
| ~ sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3390,f221]) ).
fof(f3392,plain,
( ~ sQ280_spl
| ~ sQ284_spl ),
inference(contradiction_clause,[status(thm)],[f3391]) ).
fof(f3393,plain,
( ~ sQ277_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f288,f2349]) ).
fof(f3394,plain,
( ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3393,f219]) ).
fof(f3395,plain,
~ sQ277_spl,
inference(contradiction_clause,[status(thm)],[f3394]) ).
fof(f3399,plain,
( ~ sQ273_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f284,f2332]) ).
fof(f3400,plain,
( ~ sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3399,f221]) ).
fof(f3401,plain,
~ sQ273_spl,
inference(contradiction_clause,[status(thm)],[f3400]) ).
fof(f3409,plain,
( ~ sQ270_spl
| ~ sQ274_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2336,f2319]) ).
fof(f3410,plain,
( ~ sQ270_spl
| ~ sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3409,f221]) ).
fof(f3411,plain,
( ~ sQ270_spl
| ~ sQ274_spl ),
inference(contradiction_clause,[status(thm)],[f3410]) ).
fof(f3415,plain,
( ~ sQ265_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f284,f2298]) ).
fof(f3416,plain,
( ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3415,f218]) ).
fof(f3417,plain,
~ sQ265_spl,
inference(contradiction_clause,[status(thm)],[f3416]) ).
fof(f3421,plain,
( ~ sQ261_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f280,f2281]) ).
fof(f3422,plain,
( ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3421,f219]) ).
fof(f3423,plain,
~ sQ261_spl,
inference(contradiction_clause,[status(thm)],[f3422]) ).
fof(f3434,plain,
( ~ sQ257_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f280,f2264]) ).
fof(f3435,plain,
( ~ sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3434,f218]) ).
fof(f3436,plain,
~ sQ257_spl,
inference(contradiction_clause,[status(thm)],[f3435]) ).
fof(f3441,plain,
( ~ sQ289_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2400,f292]) ).
fof(f3442,plain,
( ~ sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3441,f220]) ).
fof(f3443,plain,
~ sQ289_spl,
inference(contradiction_clause,[status(thm)],[f3442]) ).
fof(f3453,plain,
( ~ sQ298_spl
| ~ sQ290_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2404,f2438]) ).
fof(f3454,plain,
( ~ sQ298_spl
| ~ sQ290_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3453,f219]) ).
fof(f3455,plain,
( ~ sQ298_spl
| ~ sQ290_spl ),
inference(contradiction_clause,[status(thm)],[f3454]) ).
fof(f3456,plain,
( ~ sQ297_spl
| ~ sQ229_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f2123,f2434]) ).
fof(f3457,plain,
( ~ sQ297_spl
| ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3456,f223]) ).
fof(f3458,plain,
( ~ sQ297_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f3457]) ).
fof(f3462,plain,
( ~ sQ296_spl
| ~ sQ288_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2396,f2430]) ).
fof(f3463,plain,
( ~ sQ296_spl
| ~ sQ288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3462,f219]) ).
fof(f3464,plain,
( ~ sQ296_spl
| ~ sQ288_spl ),
inference(contradiction_clause,[status(thm)],[f3463]) ).
fof(f3486,plain,
( ~ sQ274_spl
| ~ sQ266_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2302,f2336]) ).
fof(f3487,plain,
( ~ sQ274_spl
| ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3486,f219]) ).
fof(f3488,plain,
( ~ sQ274_spl
| ~ sQ266_spl ),
inference(contradiction_clause,[status(thm)],[f3487]) ).
fof(f3489,plain,
( ~ sQ272_spl
| ~ sQ264_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2294,f2328]) ).
fof(f3490,plain,
( ~ sQ272_spl
| ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3489,f219]) ).
fof(f3491,plain,
( ~ sQ272_spl
| ~ sQ264_spl ),
inference(contradiction_clause,[status(thm)],[f3490]) ).
fof(f3510,plain,
( ~ sQ293_spl
| ~ sQ229_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2123,f2417]) ).
fof(f3511,plain,
( ~ sQ293_spl
| ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3510,f222]) ).
fof(f3512,plain,
( ~ sQ293_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f3511]) ).
fof(f3518,plain,
( ~ sQ287_spl
| ~ sQ279_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2357,f2391]) ).
fof(f3519,plain,
( ~ sQ287_spl
| ~ sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3518,f219]) ).
fof(f3520,plain,
( ~ sQ287_spl
| ~ sQ279_spl ),
inference(contradiction_clause,[status(thm)],[f3519]) ).
fof(f3532,plain,
( ~ sQ292_spl
| ~ sQ288_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2396,f2413]) ).
fof(f3533,plain,
( ~ sQ292_spl
| ~ sQ288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3532,f218]) ).
fof(f3534,plain,
( ~ sQ292_spl
| ~ sQ288_spl ),
inference(contradiction_clause,[status(thm)],[f3533]) ).
fof(f3546,plain,
e10 != op1(e11,e12),
inference(backward_demodulation,[status(thm)],[f274,f149]) ).
fof(f3548,plain,
e10 != op1(e13,e11),
inference(backward_demodulation,[status(thm)],[f274,f126]) ).
fof(f3549,plain,
e10 != op1(e12,e11),
inference(backward_demodulation,[status(thm)],[f274,f125]) ).
fof(f3550,plain,
op1(e10,e11) != e10,
inference(backward_demodulation,[status(thm)],[f274,f122]) ).
fof(f3551,plain,
e20 != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f277,f174]) ).
fof(f3552,plain,
e20 != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f277,f173]) ).
fof(f3553,plain,
op2(e20,e21) != e20,
inference(backward_demodulation,[status(thm)],[f277,f170]) ).
fof(f3555,plain,
( ~ sQ70_spl
| e22 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f1558,f171]) ).
fof(f3560,plain,
( ~ sQ6_spl
| e12 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f1318,f123]) ).
fof(f3561,plain,
( ~ sQ78_spl
| e22 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1584,f182]) ).
fof(f3562,plain,
( ~ sQ78_spl
| ~ sQ94_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1636,f3561]) ).
fof(f3563,plain,
( ~ sQ78_spl
| ~ sQ94_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3562]) ).
fof(f3564,plain,
( ~ sQ78_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f3563]) ).
fof(f3565,plain,
( ~ sQ118_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1714,f175]) ).
fof(f3574,plain,
( ~ sQ121_spl
| op2(e21,e22) != e21 ),
inference(backward_demodulation,[status(thm)],[f1724,f180]) ).
fof(f3582,plain,
( ~ sQ120_spl
| ~ sQ121_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1724,f1721]) ).
fof(f3583,plain,
( ~ sQ120_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3582,f218]) ).
fof(f3584,plain,
( ~ sQ120_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f3583]) ).
fof(f3588,plain,
( ~ sQ86_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f277,f1610]) ).
fof(f3589,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3588,f219]) ).
fof(f3590,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f3589]) ).
fof(f3596,plain,
( ~ sQ87_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f277,f1613]) ).
fof(f3597,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3596,f220]) ).
fof(f3598,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f3597]) ).
fof(f3604,plain,
( ~ sQ85_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f277,f1607]) ).
fof(f3605,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3604,f218]) ).
fof(f3606,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f3605]) ).
fof(f3608,plain,
( ~ sQ78_spl
| e22 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1584,f183]) ).
fof(f3631,plain,
( sQ199_spl
| h3(op1(e13,e11)) != op2(h3(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f288,f2029]) ).
fof(f3638,plain,
( ~ sQ30_spl
| op1(e11,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f1396,f151]) ).
fof(f3641,plain,
( ~ sQ30_spl
| e12 != op1(e12,e13) ),
inference(backward_demodulation,[status(thm)],[f1396,f137]) ).
fof(f3642,plain,
( ~ sQ30_spl
| op1(e10,e13) != e12 ),
inference(backward_demodulation,[status(thm)],[f1396,f134]) ).
fof(f3646,plain,
( ~ sQ14_spl
| e12 != op1(e12,e13) ),
inference(backward_demodulation,[status(thm)],[f1344,f135]) ).
fof(f3650,plain,
( ~ sQ54_spl
| op1(e13,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f1474,f158]) ).
fof(f3653,plain,
( ~ sQ50_spl
| e12 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f1461,f160]) ).
fof(f3654,plain,
( ~ sQ50_spl
| e12 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1461,f159]) ).
fof(f3655,plain,
( ~ sQ50_spl
| op1(e12,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f1461,f121]) ).
fof(f3656,plain,
( ~ sQ50_spl
| op1(e11,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f1461,f120]) ).
fof(f3660,plain,
( ~ sQ45_spl
| op1(e12,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f1445,f154]) ).
fof(f3661,plain,
( ~ sQ45_spl
| e11 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f1445,f139]) ).
fof(f3666,plain,
op2(e21,e20) != e20,
inference(forward_demodulation,[status(thm)],[f277,f194]) ).
fof(f3674,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1344,f1341]) ).
fof(f3675,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3674,f215]) ).
fof(f3676,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3675]) ).
fof(f3679,plain,
( ~ sQ57_spl
| e11 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f1484,f163]) ).
fof(f3688,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1445,f1442]) ).
fof(f3689,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3688,f212]) ).
fof(f3690,plain,
( ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f3689]) ).
fof(f3692,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1396,f1390]) ).
fof(f3693,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3692,f213]) ).
fof(f3694,plain,
( ~ sQ28_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3693]) ).
fof(f3695,plain,
( ~ sQ22_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f274,f1370]) ).
fof(f3696,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3695,f213]) ).
fof(f3697,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f3696]) ).
fof(f3704,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1484,f1481]) ).
fof(f3705,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3704,f212]) ).
fof(f3706,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f3705]) ).
fof(f3712,plain,
( ~ sQ27_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f1386,f131]) ).
fof(f3714,plain,
e20 != op2(e21,e22),
inference(forward_demodulation,[status(thm)],[f277,f197]) ).
fof(f3715,plain,
e20 != op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f277,f198]) ).
fof(f3719,plain,
( ~ sQ11_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1334,f141]) ).
fof(f3721,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3719,f1307,f1333]) ).
fof(f3728,plain,
( ~ sQ35_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1412,f117]) ).
fof(f3744,plain,
( ~ sQ19_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1360,f116]) ).
fof(f3748,plain,
( ~ sQ23_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f274,f1373]) ).
fof(f3749,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3748,f214]) ).
fof(f3750,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f3749]) ).
fof(f3751,plain,
( ~ sQ21_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f274,f1367]) ).
fof(f3752,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3751,f212]) ).
fof(f3753,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f3752]) ).
fof(f3755,plain,
( ~ sQ27_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3712,f1437,f1385]) ).
fof(f3763,plain,
( ~ sQ76_spl
| ~ sQ78_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1584,f1578]) ).
fof(f3764,plain,
( ~ sQ76_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3763,f219]) ).
fof(f3765,plain,
( ~ sQ76_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f3764]) ).
fof(f3771,plain,
( ~ sQ106_spl
| e22 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f1675,f205]) ).
fof(f3772,plain,
( ~ sQ106_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1675,f203]) ).
fof(f3777,plain,
( ~ sQ127_spl
| op2(e21,e23) != e23 ),
inference(backward_demodulation,[status(thm)],[f1743,f186]) ).
fof(f3779,plain,
( ~ sQ105_spl
| ~ sQ106_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1675,f1672]) ).
fof(f3780,plain,
( ~ sQ105_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3779,f221]) ).
fof(f3781,plain,
( ~ sQ105_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f3780]) ).
fof(f3784,plain,
( ~ sQ127_spl
| op2(e23,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f1743,f210]) ).
fof(f3795,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f1393,f1396]) ).
fof(f3796,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3795,f215]) ).
fof(f3797,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f3796]) ).
fof(f3803,plain,
( ~ sQ110_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1688,f204]) ).
fof(f3805,plain,
( ~ sQ110_spl
| op2(e21,e23) != e22 ),
inference(backward_demodulation,[status(thm)],[f1688,f185]) ).
fof(f3806,plain,
( ~ sQ110_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f3805,f1635,f1687]) ).
fof(f3808,plain,
( ~ sQ96_spl
| e20 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f1643,f200]) ).
fof(f3822,plain,
e12 = op1(op1(e10,op1(e11,e11)),op1(e11,e11)),
inference(forward_demodulation,[status(thm)],[f274,f275]) ).
fof(f3823,plain,
e12 = op1(op1(e10,e10),op1(e11,e11)),
inference(forward_demodulation,[status(thm)],[f274,f3822]) ).
fof(f3824,plain,
e12 = op1(op1(e10,e10),e10),
inference(forward_demodulation,[status(thm)],[f274,f3823]) ).
fof(f3829,plain,
( ~ sQ95_spl
| op2(e21,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1639,f199]) ).
fof(f3832,plain,
( ~ sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f3829,f1625,f1638]) ).
fof(f3834,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1393,f1399]) ).
fof(f3835,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3834,f216]) ).
fof(f3836,plain,
( ~ sQ31_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f3835]) ).
fof(f3837,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3744,f1307,f1359]) ).
fof(f3842,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3660,f1405,f1444]) ).
fof(f3843,plain,
( ~ sQ45_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3661,f1496,f1444]) ).
fof(f3845,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f1451,f1445]) ).
fof(f3846,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3845,f216]) ).
fof(f3847,plain,
( ~ sQ45_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3846]) ).
fof(f3848,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f1321,f1315]) ).
fof(f3849,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3848,f216]) ).
fof(f3850,plain,
( ~ sQ5_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f3849]) ).
fof(f3852,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f1451,f1442]) ).
fof(f3853,plain,
( ~ sQ44_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3852,f214]) ).
fof(f3854,plain,
( ~ sQ44_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3853]) ).
fof(f3856,plain,
e13 = op1(e10,op1(e11,e11)),
inference(forward_demodulation,[status(thm)],[f274,f276]) ).
fof(f3857,plain,
e12 = op1(e13,e10),
inference(backward_demodulation,[status(thm)],[f3859,f3824]) ).
fof(f3858,plain,
( sQ209_spl
| h4(e13) != op2(h4(e10),h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f3859,f2063]) ).
fof(f3859,plain,
e13 = op1(e10,e10),
inference(forward_demodulation,[status(thm)],[f274,f3856]) ).
fof(f3860,plain,
e22 = op2(op2(e20,op2(e21,e21)),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f278]) ).
fof(f3861,plain,
e22 = op2(op2(e20,e20),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f3860]) ).
fof(f3862,plain,
e22 = op2(op2(e20,e20),e20),
inference(forward_demodulation,[status(thm)],[f277,f3861]) ).
fof(f3863,plain,
e23 = op2(e20,op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f279]) ).
fof(f3864,plain,
e22 = op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f3865,f3862]) ).
fof(f3865,plain,
e23 = op2(e20,e20),
inference(forward_demodulation,[status(thm)],[f277,f3863]) ).
fof(f3869,plain,
( ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1591,f3666]) ).
fof(f3870,plain,
~ sQ80_spl,
inference(contradiction_clause,[status(thm)],[f3869]) ).
fof(f3872,plain,
( ~ sQ123_spl
| op2(e23,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f1730,f209]) ).
fof(f3883,plain,
( ~ sQ74_spl
| ~ sQ72_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1565,f1571]) ).
fof(f3884,plain,
( ~ sQ74_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3883,f219]) ).
fof(f3885,plain,
( ~ sQ74_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f3884]) ).
fof(f3886,plain,
( ~ sQ329_spl
| op2(e20,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f3865,f2641]) ).
fof(f3888,plain,
( ~ sQ331_spl
| ~ sQ72_spl
| op2(e20,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f1565,f2649]) ).
fof(f3889,plain,
( ~ sQ331_spl
| ~ sQ72_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f3865,f3888]) ).
fof(f3890,plain,
( ~ sQ331_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3889,f223]) ).
fof(f3891,plain,
( ~ sQ331_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f3890]) ).
fof(f3893,plain,
( ~ sQ78_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f3608,f1687,f1583]) ).
fof(f3896,plain,
( sQ67_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3865,f1549]) ).
fof(f3897,plain,
( sQ67_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3896]) ).
fof(f3898,plain,
sQ67_spl,
inference(contradiction_clause,[status(thm)],[f3897]) ).
fof(f3901,plain,
( sQ329_spl
| op2(e20,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f3865,f2642]) ).
fof(f3907,plain,
( ~ sQ66_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f3865,f1545]) ).
fof(f3908,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3907,f223]) ).
fof(f3909,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f3908]) ).
fof(f3911,plain,
( ~ sQ73_spl
| ~ sQ72_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1565,f1568]) ).
fof(f3912,plain,
( ~ sQ73_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3911,f218]) ).
fof(f3913,plain,
( ~ sQ73_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f3912]) ).
fof(f3914,plain,
( ~ sQ64_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f3865,f1539]) ).
fof(f3915,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3914,f220]) ).
fof(f3916,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f3915]) ).
fof(f3921,plain,
( ~ sQ70_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3555,f1661,f1557]) ).
fof(f3927,plain,
e23 != op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f3865,f188]) ).
fof(f3928,plain,
e23 != op2(e20,e22),
inference(forward_demodulation,[status(thm)],[f3865,f189]) ).
fof(f3929,plain,
( ~ sQ96_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3808,f1655,f1642]) ).
fof(f3932,plain,
( ~ sQ256_spl
| e21 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2260,f281]) ).
fof(f3933,plain,
( ~ sQ256_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f3865,f3932]) ).
fof(f3934,plain,
( ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3933,f222]) ).
fof(f3935,plain,
~ sQ256_spl,
inference(contradiction_clause,[status(thm)],[f3934]) ).
fof(f3936,plain,
h1(e10) = e23,
inference(forward_demodulation,[status(thm)],[f3865,f281]) ).
fof(f3953,plain,
h2(e12) = op2(op2(e20,op2(e21,e21)),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f286]) ).
fof(f3954,plain,
h2(e12) = op2(op2(e20,e20),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f3953]) ).
fof(f3955,plain,
h2(e12) = op2(e23,op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f3865,f3954]) ).
fof(f3956,plain,
h2(e12) = op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f277,f3955]) ).
fof(f3957,plain,
( ~ sQ268_spl
| ~ sQ264_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2294,f2311]) ).
fof(f3958,plain,
( ~ sQ268_spl
| ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3957,f218]) ).
fof(f3959,plain,
( ~ sQ268_spl
| ~ sQ264_spl ),
inference(contradiction_clause,[status(thm)],[f3958]) ).
fof(f3960,plain,
h2(e10) = e20,
inference(forward_demodulation,[status(thm)],[f277,f285]) ).
fof(f3961,plain,
( sQ269_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f284,f2316]) ).
fof(f3962,plain,
( sQ269_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3961]) ).
fof(f3963,plain,
sQ269_spl,
inference(contradiction_clause,[status(thm)],[f3962]) ).
fof(f3964,plain,
( sQ191_spl
| h3(e10) != op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f2005]) ).
fof(f3965,plain,
( sQ191_spl
| h3(e10) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f288,f3964]) ).
fof(f3966,plain,
( sQ191_spl
| h3(e10) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f288,f3965]) ).
fof(f3967,plain,
( sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3936,f1901]) ).
fof(f3968,plain,
sQ159_spl,
inference(contradiction_clause,[status(thm)],[f3967]) ).
fof(f3972,plain,
h2(e13) = op2(e20,op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f287]) ).
fof(f3973,plain,
h2(e13) = op2(e20,e20),
inference(forward_demodulation,[status(thm)],[f277,f3972]) ).
fof(f3974,plain,
h2(e13) = e23,
inference(forward_demodulation,[status(thm)],[f3865,f3973]) ).
fof(f3975,plain,
( sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3974,f1986]) ).
fof(f3976,plain,
sQ185_spl,
inference(contradiction_clause,[status(thm)],[f3975]) ).
fof(f3977,plain,
( sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f3966]) ).
fof(f3978,plain,
sQ191_spl,
inference(contradiction_clause,[status(thm)],[f3977]) ).
fof(f3979,plain,
( ~ sQ191_spl
| h3(e10) = op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f2004]) ).
fof(f3980,plain,
( ~ sQ191_spl
| h3(e10) = op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f288,f3979]) ).
fof(f3981,plain,
( ~ sQ191_spl
| h3(e10) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f288,f3980]) ).
fof(f3992,plain,
h1(e13) = op2(e23,op2(e20,e20)),
inference(forward_demodulation,[status(thm)],[f3865,f283]) ).
fof(f3993,plain,
h1(e13) = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f3865,f3992]) ).
fof(f4006,plain,
( sQ190_spl
| h3(op1(e11,e10)) != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f288,f2002]) ).
fof(f4008,plain,
( sQ264_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3960,f2295]) ).
fof(f4009,plain,
( sQ264_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4008]) ).
fof(f4010,plain,
sQ264_spl,
inference(contradiction_clause,[status(thm)],[f4009]) ).
fof(f4013,plain,
h4(e12) = op2(h4(e13),op2(e23,e23)),
inference(backward_demodulation,[status(thm)],[f295,f294]) ).
fof(f4022,plain,
( ~ sQ252_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f3936,f2243]) ).
fof(f4023,plain,
( ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4022,f220]) ).
fof(f4024,plain,
~ sQ252_spl,
inference(contradiction_clause,[status(thm)],[f4023]) ).
fof(f4028,plain,
( sQ186_spl
| h3(e13) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3859,f1990]) ).
fof(f4034,plain,
( sQ178_spl
| h2(op1(e13,e13)) != op2(e23,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f3974,f1962]) ).
fof(f4035,plain,
( sQ178_spl
| h2(op1(e13,e13)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3974,f4034]) ).
fof(f4044,plain,
( ~ sQ121_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f3574,f1619,f1723]) ).
fof(f4046,plain,
( ~ sQ83_spl
| ~ sQ81_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1594,f1600]) ).
fof(f4047,plain,
( ~ sQ83_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4046,f222]) ).
fof(f4048,plain,
( ~ sQ83_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f4047]) ).
fof(f4052,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f1338,f1341]) ).
fof(f4053,plain,
( ~ sQ13_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4052,f212]) ).
fof(f4054,plain,
( ~ sQ13_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4053]) ).
fof(f4055,plain,
( ~ sQ1_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f3859,f1302]) ).
fof(f4056,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4055,f216]) ).
fof(f4057,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f4056]) ).
fof(f4058,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1338,f1344]) ).
fof(f4059,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4058,f213]) ).
fof(f4060,plain,
( ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f4059]) ).
fof(f4064,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1416,f3549]) ).
fof(f4065,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f4064]) ).
fof(f4067,plain,
( sQ176_spl
| h2(op1(e13,e11)) != op2(e23,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3974,f1956]) ).
fof(f4068,plain,
( sQ176_spl
| h2(op1(e13,e11)) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f284,f4067]) ).
fof(f4069,plain,
( sQ175_spl
| h2(op1(e13,e10)) != op2(e23,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3974,f1953]) ).
fof(f4070,plain,
( sQ175_spl
| h2(op1(e13,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f3960,f4069]) ).
fof(f4083,plain,
( sQ285_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f288,f2384]) ).
fof(f4084,plain,
( sQ285_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4083]) ).
fof(f4085,plain,
sQ285_spl,
inference(contradiction_clause,[status(thm)],[f4084]) ).
fof(f4088,plain,
( sQ190_spl
| ~ sQ17_spl
| h3(e11) != op2(e22,h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f1354,f4006]) ).
fof(f4089,plain,
( sQ190_spl
| ~ sQ17_spl
| e22 != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f288,f4088]) ).
fof(f4090,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1383,f1380]) ).
fof(f4091,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4090,f215]) ).
fof(f4092,plain,
( ~ sQ25_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f4091]) ).
fof(f4093,plain,
( sQ193_spl
| h3(op1(e11,e13)) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f288,f2011]) ).
fof(f4097,plain,
( sQ174_spl
| h2(op1(e12,e13)) != op2(h2(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f3974,f1950]) ).
fof(f4099,plain,
( sQ177_spl
| h2(op1(e13,e12)) != op2(e23,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f3974,f1959]) ).
fof(f4100,plain,
( sQ3_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f3859,f1309]) ).
fof(f4101,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4100]) ).
fof(f4102,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f4101]) ).
fof(f4105,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1708,f3551]) ).
fof(f4106,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f4105]) ).
fof(f4112,plain,
( ~ sQ2_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f3859,f1305]) ).
fof(f4113,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4112,f217]) ).
fof(f4114,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f4113]) ).
fof(f4120,plain,
( ~ sQ6_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3560,f1421,f1317]) ).
fof(f4121,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3655,f1408,f1460]) ).
fof(f4123,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1468,f3548]) ).
fof(f4124,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f4123]) ).
fof(f4125,plain,
( sQ172_spl
| h2(op1(e12,e11)) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f284,f1944]) ).
fof(f4126,plain,
( sQ171_spl
| h2(op1(e12,e10)) != op2(h2(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f3960,f1941]) ).
fof(f4127,plain,
( sQ170_spl
| h2(op1(e11,e13)) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f284,f1938]) ).
fof(f4128,plain,
( sQ170_spl
| h2(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3974,f4127]) ).
fof(f4129,plain,
( sQ169_spl
| h2(op1(e11,e12)) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f284,f1935]) ).
fof(f4130,plain,
( sQ168_spl
| h2(e10) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f1932]) ).
fof(f4131,plain,
( sQ168_spl
| e20 != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3960,f4130]) ).
fof(f4132,plain,
( sQ168_spl
| e20 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f284,f4131]) ).
fof(f4133,plain,
( sQ168_spl
| e20 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f284,f4132]) ).
fof(f4134,plain,
( sQ168_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f277,f4133]) ).
fof(f4135,plain,
( sQ168_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4134]) ).
fof(f4136,plain,
sQ168_spl,
inference(contradiction_clause,[status(thm)],[f4135]) ).
fof(f4142,plain,
( ~ sQ191_spl
| h3(e13) = op2(op2(e22,e22),h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f3981,f291]) ).
fof(f4143,plain,
( ~ sQ191_spl
| h3(e13) = op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3981,f4142]) ).
fof(f4144,plain,
( ~ sQ191_spl
| sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4143,f4028]) ).
fof(f4145,plain,
( ~ sQ191_spl
| sQ186_spl ),
inference(contradiction_clause,[status(thm)],[f4144]) ).
fof(f4147,plain,
( sQ167_spl
| ~ sQ17_spl
| h2(e11) != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1354,f1929]) ).
fof(f4148,plain,
( sQ167_spl
| ~ sQ17_spl
| e21 != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f284,f4147]) ).
fof(f4149,plain,
( sQ167_spl
| ~ sQ17_spl
| e21 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f284,f4148]) ).
fof(f4150,plain,
( sQ167_spl
| ~ sQ17_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3960,f4149]) ).
fof(f4151,plain,
( sQ167_spl
| ~ sQ17_spl
| ~ sQ81_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1594,f4150]) ).
fof(f4152,plain,
( sQ167_spl
| ~ sQ17_spl
| ~ sQ81_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4151]) ).
fof(f4153,plain,
( sQ167_spl
| ~ sQ17_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f4152]) ).
fof(f4157,plain,
( ~ sQ0_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f3859,f1299]) ).
fof(f4158,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4157,f214]) ).
fof(f4159,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f4158]) ).
fof(f4161,plain,
( sQ104_spl
| ~ sQ191_spl
| h3(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f3981,f1670]) ).
fof(f4163,plain,
( ~ sQ105_spl
| ~ sQ191_spl
| h3(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f3981,f1672]) ).
fof(f4164,plain,
( ~ sQ105_spl
| ~ sQ191_spl
| sQ280_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4163,f2363]) ).
fof(f4165,plain,
( ~ sQ105_spl
| ~ sQ191_spl
| sQ280_spl ),
inference(contradiction_clause,[status(thm)],[f4164]) ).
fof(f4167,plain,
( ~ sQ35_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3728,f1307,f1411]) ).
fof(f4169,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1471,f1477]) ).
fof(f4170,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4169,f216]) ).
fof(f4171,plain,
( ~ sQ55_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f4170]) ).
fof(f4173,plain,
( ~ sQ89_spl
| ~ sQ91_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1626,f1620]) ).
fof(f4174,plain,
( ~ sQ89_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4173,f222]) ).
fof(f4175,plain,
( ~ sQ89_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f4174]) ).
fof(f4176,plain,
( ~ sQ104_spl
| ~ sQ191_spl
| h3(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f3981,f1669]) ).
fof(f4177,plain,
( ~ sQ104_spl
| ~ sQ191_spl
| sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4176,f2346]) ).
fof(f4178,plain,
( ~ sQ104_spl
| ~ sQ191_spl
| sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f4177]) ).
fof(f4179,plain,
( ~ sQ106_spl
| ~ sQ191_spl
| h3(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f3981,f1675]) ).
fof(f4180,plain,
( ~ sQ106_spl
| ~ sQ191_spl
| sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4179,f2380]) ).
fof(f4181,plain,
( ~ sQ106_spl
| ~ sQ191_spl
| sQ284_spl ),
inference(contradiction_clause,[status(thm)],[f4180]) ).
fof(f4184,plain,
( sQ105_spl
| ~ sQ191_spl
| h3(e10) != e21 ),
inference(forward_demodulation,[status(thm)],[f3981,f1673]) ).
fof(f4190,plain,
( sQ165_spl
| ~ sQ8_spl
| h2(e10) != op2(h2(e10),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1325,f1923]) ).
fof(f4191,plain,
( sQ165_spl
| ~ sQ8_spl
| e20 != op2(h2(e10),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f3960,f4190]) ).
fof(f4192,plain,
( sQ165_spl
| ~ sQ8_spl
| e20 != op2(e20,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f3960,f4191]) ).
fof(f4193,plain,
( sQ164_spl
| h2(op1(e10,e11)) != op2(e20,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3960,f1920]) ).
fof(f4194,plain,
( sQ164_spl
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f284,f4193]) ).
fof(f4195,plain,
( sQ163_spl
| h2(e13) != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3859,f1917]) ).
fof(f4196,plain,
( sQ163_spl
| e23 != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3974,f4195]) ).
fof(f4197,plain,
( sQ163_spl
| e23 != op2(e20,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3960,f4196]) ).
fof(f4198,plain,
( sQ163_spl
| e23 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3960,f4197]) ).
fof(f4199,plain,
( sQ163_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3865,f4198]) ).
fof(f4200,plain,
( sQ163_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4199]) ).
fof(f4201,plain,
sQ163_spl,
inference(contradiction_clause,[status(thm)],[f4200]) ).
fof(f4215,plain,
( sQ175_spl
| h2(e12) != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f3857,f4070]) ).
fof(f4216,plain,
( ~ sQ112_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f3864,f1695]) ).
fof(f4217,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4216,f219]) ).
fof(f4218,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f4217]) ).
fof(f4242,plain,
( ~ sQ329_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f3886,f1577,f2640]) ).
fof(f4243,plain,
( ~ sQ65_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f3865,f1542]) ).
fof(f4244,plain,
( ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4243,f222]) ).
fof(f4245,plain,
~ sQ65_spl,
inference(contradiction_clause,[status(thm)],[f4244]) ).
fof(f4246,plain,
( ~ sQ113_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f3864,f1698]) ).
fof(f4247,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4246,f221]) ).
fof(f4248,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f4247]) ).
fof(f4250,plain,
( ~ sQ127_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f3777,f1638,f1742]) ).
fof(f4257,plain,
( sQ145_spl
| h1(e10) != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f1859]) ).
fof(f4258,plain,
( sQ145_spl
| e23 != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3936,f4257]) ).
fof(f4259,plain,
( sQ145_spl
| e23 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f280,f4258]) ).
fof(f4260,plain,
( sQ145_spl
| e23 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f280,f4259]) ).
fof(f4261,plain,
( sQ145_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3865,f4260]) ).
fof(f4262,plain,
( sQ145_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4261]) ).
fof(f4263,plain,
sQ145_spl,
inference(contradiction_clause,[status(thm)],[f4262]) ).
fof(f4290,plain,
( sQ140_spl
| h1(e13) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3859,f1844]) ).
fof(f4291,plain,
( sQ140_spl
| h1(e13) != op2(e23,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3936,f4290]) ).
fof(f4292,plain,
( sQ140_spl
| h1(e13) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3936,f4291]) ).
fof(f4293,plain,
( ~ sQ135_spl
| op2(e23,e22) = e20 ),
inference(forward_demodulation,[status(thm)],[f3864,f1814]) ).
fof(f4295,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f1325,f1328]) ).
fof(f4296,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4295,f212]) ).
fof(f4297,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f4296]) ).
fof(f4314,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1386,f1383]) ).
fof(f4315,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4314,f217]) ).
fof(f4316,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f4315]) ).
fof(f4318,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1325,f1331]) ).
fof(f4319,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4318,f213]) ).
fof(f4320,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f4319]) ).
fof(f4325,plain,
( sQ329_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f3901,f1577,f2640]) ).
fof(f4326,plain,
( sQ166_spl
| h2(op1(e10,e13)) != op2(e20,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f3960,f1926]) ).
fof(f4327,plain,
( sQ166_spl
| h2(op1(e10,e13)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3974,f4326]) ).
fof(f4329,plain,
( ~ sQ320_spl
| op1(e10,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f3859,f2579]) ).
fof(f4330,plain,
( ~ sQ322_spl
| ~ sQ8_spl
| op1(e10,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f1325,f2587]) ).
fof(f4331,plain,
( ~ sQ322_spl
| ~ sQ8_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f3859,f4330]) ).
fof(f4332,plain,
( ~ sQ322_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4331,f217]) ).
fof(f4333,plain,
( ~ sQ322_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f4332]) ).
fof(f4334,plain,
( ~ sQ49_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f3857,f1458]) ).
fof(f4335,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4334,f215]) ).
fof(f4336,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f4335]) ).
fof(f4337,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1617,f3714]) ).
fof(f4338,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f4337]) ).
fof(f4343,plain,
( ~ sQ243_spl
| ~ sQ97_spl
| op2(e22,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f1646,f2192]) ).
fof(f4344,plain,
( ~ sQ243_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4343,f3552]) ).
fof(f4345,plain,
( ~ sQ243_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f4344]) ).
fof(f4349,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1630,f3715]) ).
fof(f4350,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f4349]) ).
fof(f4351,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1448,f1451]) ).
fof(f4352,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4351,f217]) ).
fof(f4353,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f4352]) ).
fof(f4354,plain,
( ~ sQ115_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f3864,f1704]) ).
fof(f4355,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4354,f223]) ).
fof(f4356,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f4355]) ).
fof(f4357,plain,
( ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1561,f3927]) ).
fof(f4358,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f4357]) ).
fof(f4359,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1552,f3553]) ).
fof(f4360,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f4359]) ).
fof(f4362,plain,
( sQ50_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f3857,f1462]) ).
fof(f4363,plain,
( sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4362]) ).
fof(f4364,plain,
sQ50_spl,
inference(contradiction_clause,[status(thm)],[f4363]) ).
fof(f4366,plain,
( ~ sQ312_spl
| op2(e21,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f277,f2520]) ).
fof(f4367,plain,
( ~ sQ50_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f3653,f1499,f1460]) ).
fof(f4368,plain,
( ~ sQ50_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3656,f1356,f1460]) ).
fof(f4375,plain,
( ~ sQ129_spl
| op1(e13,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f3857,f1782]) ).
fof(f4381,plain,
( sQ221_spl
| h4(e12) != op2(h4(e13),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3857,f2099]) ).
fof(f4384,plain,
( ~ sQ48_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f3857,f1455]) ).
fof(f4385,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4384,f213]) ).
fof(f4386,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f4385]) ).
fof(f4388,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3641,f1447,f1395]) ).
fof(f4392,plain,
( ~ sQ57_spl
| ~ sQ129_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f4375,f1484]) ).
fof(f4393,plain,
( ~ sQ57_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4392,f212]) ).
fof(f4394,plain,
( ~ sQ57_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f4393]) ).
fof(f4396,plain,
( ~ sQ59_spl
| ~ sQ129_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f4375,f1490]) ).
fof(f4397,plain,
( ~ sQ59_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4396,f214]) ).
fof(f4398,plain,
( ~ sQ59_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f4397]) ).
fof(f4399,plain,
( sQ312_spl
| op2(e21,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f277,f2521]) ).
fof(f4400,plain,
( sQ129_spl
| op1(e13,e12) != e10 ),
inference(forward_demodulation,[status(thm)],[f3857,f1783]) ).
fof(f4401,plain,
( ~ sQ51_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f3857,f1464]) ).
fof(f4402,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4401,f217]) ).
fof(f4403,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f4402]) ).
fof(f4404,plain,
( ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1574,f3928]) ).
fof(f4405,plain,
~ sQ75_spl,
inference(contradiction_clause,[status(thm)],[f4404]) ).
fof(f4406,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3638,f1382,f1395]) ).
fof(f4407,plain,
( ~ sQ123_spl
| ~ sQ135_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f4293,f1730]) ).
fof(f4408,plain,
( ~ sQ123_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4407,f220]) ).
fof(f4409,plain,
( ~ sQ123_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f4408]) ).
fof(f4413,plain,
( sQ175_spl
| h2(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f3864,f4215]) ).
fof(f4414,plain,
( sQ302_spl
| op1(e11,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f274,f2455]) ).
fof(f4417,plain,
( sQ105_spl
| ~ sQ191_spl
| ~ sQ280_spl ),
inference(split_clause,[status(thm)],[f4184,f2361,f2003,f1671]) ).
fof(f4420,plain,
( ~ sQ57_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3679,f1496,f1483]) ).
fof(f4422,plain,
op2(e21,e20) != e22,
inference(forward_demodulation,[status(thm)],[f3864,f168]) ).
fof(f4425,plain,
( ~ sQ135_spl
| op2(e22,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f4293,f181]) ).
fof(f4427,plain,
( ~ sQ276_spl
| sQ104_spl
| ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2345,f4161]) ).
fof(f4428,plain,
( ~ sQ276_spl
| sQ104_spl
| ~ sQ191_spl ),
inference(contradiction_clause,[status(thm)],[f4427]) ).
fof(f4430,plain,
( ~ sQ191_spl
| op2(e20,e22) != h3(e10) ),
inference(backward_demodulation,[status(thm)],[f3981,f177]) ).
fof(f4431,plain,
( ~ sQ135_spl
| ~ sQ191_spl
| h3(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f3981,f4425]) ).
fof(f4441,plain,
e13 != op1(e10,e13),
inference(forward_demodulation,[status(thm)],[f3859,f142]) ).
fof(f4445,plain,
( ~ sQ103_spl
| e23 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f1665,f175]) ).
fof(f4447,plain,
( ~ sQ103_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f4445,f1716,f1664]) ).
fof(f4460,plain,
( ~ sQ69_spl
| e21 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f1555,f172]) ).
fof(f4478,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1597,f4422]) ).
fof(f4479,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f4478]) ).
fof(f4483,plain,
( ~ sQ245_spl
| ~ sQ191_spl
| op2(e22,h3(e10)) = e22 ),
inference(forward_demodulation,[status(thm)],[f3981,f2200]) ).
fof(f4484,plain,
( ~ sQ245_spl
| ~ sQ191_spl
| sQ190_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4483,f4089]) ).
fof(f4485,plain,
( ~ sQ245_spl
| ~ sQ191_spl
| sQ190_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f4484]) ).
fof(f4486,plain,
( ~ sQ90_spl
| ~ sQ89_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1620,f1623]) ).
fof(f4487,plain,
( ~ sQ90_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4486,f221]) ).
fof(f4488,plain,
( ~ sQ90_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f4487]) ).
fof(f4489,plain,
( ~ sQ191_spl
| h3(e10) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3981,f181]) ).
fof(f4491,plain,
( ~ sQ135_spl
| ~ sQ191_spl
| ~ sQ276_spl ),
inference(split_clause,[status(thm)],[f4431,f2344,f2003,f1813]) ).
fof(f4492,plain,
( sQ243_spl
| ~ sQ96_spl
| op2(e22,e20) != e20 ),
inference(forward_demodulation,[status(thm)],[f1643,f2193]) ).
fof(f4493,plain,
( sQ243_spl
| ~ sQ96_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1643,f4492]) ).
fof(f4494,plain,
( sQ243_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4493]) ).
fof(f4495,plain,
( sQ243_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f4494]) ).
fof(f4498,plain,
( ~ sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3772,f1661,f1674]) ).
fof(f4508,plain,
( ~ sQ191_spl
| ~ sQ105_spl
| e21 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f4163,f3981]) ).
fof(f4510,plain,
( ~ sQ191_spl
| ~ sQ105_spl
| h3(e13) = op2(h3(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f4163,f4143]) ).
fof(f4512,plain,
( ~ sQ191_spl
| ~ sQ105_spl
| h3(e13) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4163,f4510]) ).
fof(f4513,plain,
( ~ sQ191_spl
| ~ sQ105_spl
| h3(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f277,f4512]) ).
fof(f4514,plain,
( ~ sQ191_spl
| ~ sQ105_spl
| sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4513,f2358]) ).
fof(f4515,plain,
( ~ sQ191_spl
| ~ sQ105_spl
| sQ279_spl ),
inference(contradiction_clause,[status(thm)],[f4514]) ).
fof(f4517,plain,
( ~ sQ190_spl
| ~ sQ17_spl
| h3(e11) = op2(h3(e11),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1354,f2001]) ).
fof(f4518,plain,
( ~ sQ190_spl
| ~ sQ17_spl
| e22 = op2(h3(e11),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f288,f4517]) ).
fof(f4519,plain,
( ~ sQ190_spl
| ~ sQ17_spl
| e22 = op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f288,f4518]) ).
fof(f4520,plain,
( ~ sQ190_spl
| ~ sQ17_spl
| ~ sQ105_spl
| ~ sQ191_spl
| e22 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f4163,f4519]) ).
fof(f4541,plain,
( ~ sQ31_spl
| e13 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f1399,f138]) ).
fof(f4544,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f4541,f1502,f1398]) ).
fof(f4545,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1435,f1438]) ).
fof(f4546,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4545,f217]) ).
fof(f4547,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f4546]) ).
fof(f4552,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1399,f1396]) ).
fof(f4553,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4552,f217]) ).
fof(f4554,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f4553]) ).
fof(f4555,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1347,f4441]) ).
fof(f4556,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f4555]) ).
fof(f4557,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f1315,f1318]) ).
fof(f4558,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4557,f215]) ).
fof(f4559,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f4558]) ).
fof(f4567,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1425,f1422]) ).
fof(f4568,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4567,f217]) ).
fof(f4569,plain,
( ~ sQ38_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f4568]) ).
fof(f4573,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3650,f1460,f1473]) ).
fof(f4576,plain,
( ~ sQ320_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f4329,f1337,f2578]) ).
fof(f4583,plain,
( sQ233_spl
| ~ sQ32_spl
| op1(e12,e10) != e10 ),
inference(forward_demodulation,[status(thm)],[f1403,f2139]) ).
fof(f4584,plain,
( sQ233_spl
| ~ sQ32_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1403,f4583]) ).
fof(f4585,plain,
( sQ233_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4584]) ).
fof(f4586,plain,
( sQ233_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f4585]) ).
fof(f4590,plain,
( sQ321_spl
| ~ sQ5_spl
| op1(e10,e11) != e11 ),
inference(forward_demodulation,[status(thm)],[f1315,f2584]) ).
fof(f4591,plain,
( sQ321_spl
| ~ sQ5_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1315,f4590]) ).
fof(f4592,plain,
( sQ321_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4591]) ).
fof(f4593,plain,
( sQ321_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f4592]) ).
fof(f4594,plain,
( sQ312_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f4399,f1593,f2519]) ).
fof(f4599,plain,
( ~ sQ30_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3642,f1343,f1395]) ).
fof(f4601,plain,
( sQ135_spl
| op2(e23,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f3864,f1815]) ).
fof(f4602,plain,
( ~ sQ118_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3565,f1661,f1713]) ).
fof(f4603,plain,
( ~ sQ58_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1487,f3654]) ).
fof(f4604,plain,
( ~ sQ58_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4603]) ).
fof(f4608,plain,
( sQ330_spl
| ~ sQ69_spl
| op2(e20,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f1555,f2646]) ).
fof(f4609,plain,
( sQ330_spl
| ~ sQ69_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1555,f4608]) ).
fof(f4610,plain,
( sQ330_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4609]) ).
fof(f4611,plain,
( sQ330_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f4610]) ).
fof(f4619,plain,
( ~ sQ110_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3803,f1661,f1687]) ).
fof(f4623,plain,
( ~ sQ127_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f3784,f1716,f1742]) ).
fof(f4624,plain,
( ~ sQ99_spl
| ~ sQ96_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1643,f1652]) ).
fof(f4625,plain,
( ~ sQ99_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4624,f220]) ).
fof(f4626,plain,
( ~ sQ99_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f4625]) ).
fof(f4628,plain,
( ~ sQ70_spl
| ~ sQ69_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1555,f1558]) ).
fof(f4629,plain,
( ~ sQ70_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4628,f221]) ).
fof(f4630,plain,
( ~ sQ70_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f4629]) ).
fof(f4649,plain,
( ~ sQ55_spl
| e13 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1477,f161]) ).
fof(f4650,plain,
( ~ sQ55_spl
| e13 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f1477,f162]) ).
fof(f4653,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f4649,f1489,f1476]) ).
fof(f4654,plain,
( ~ sQ55_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f4650,f1502,f1476]) ).
fof(f4661,plain,
( ~ sQ40_spl
| op1(e12,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f1429,f153]) ).
fof(f4664,plain,
( ~ sQ40_spl
| e10 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1429,f133]) ).
fof(f4665,plain,
( ~ sQ40_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f4661,f1402,f1428]) ).
fof(f4666,plain,
( ~ sQ69_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f4460,f1710,f1554]) ).
fof(f4667,plain,
( sQ135_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f4601,f1720,f1813]) ).
fof(f4671,plain,
( sQ172_spl
| ~ sQ38_spl
| h2(e12) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f1422,f4125]) ).
fof(f4685,plain,
( sQ253_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f280,f2248]) ).
fof(f4686,plain,
( sQ253_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4685]) ).
fof(f4687,plain,
sQ253_spl,
inference(contradiction_clause,[status(thm)],[f4686]) ).
fof(f4709,plain,
( ~ sQ60_spl
| op1(e10,e13) != e10 ),
inference(backward_demodulation,[status(thm)],[f1494,f136]) ).
fof(f4710,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f4709,f1337,f1493]) ).
fof(f4711,plain,
( ~ sQ56_spl
| sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1481,f4400]) ).
fof(f4712,plain,
( ~ sQ56_spl
| sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f4711]) ).
fof(f4715,plain,
( ~ sQ106_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f3771,f1687,f1674]) ).
fof(f4721,plain,
( ~ sQ76_spl
| e20 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1578,f184]) ).
fof(f4725,plain,
( ~ sQ33_spl
| op1(e11,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f1406,f119]) ).
fof(f4726,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4725,f1353,f1405]) ).
fof(f4727,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1377,f3546]) ).
fof(f4728,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f4727]) ).
fof(f4729,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1422,f1419]) ).
fof(f4730,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4729,f215]) ).
fof(f4731,plain,
( ~ sQ37_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f4730]) ).
fof(f4733,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4664,f1480,f1428]) ).
fof(f4745,plain,
( ~ sQ191_spl
| ~ sQ104_spl
| op2(e20,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f4176,f4430]) ).
fof(f4750,plain,
( ~ sQ96_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1643,f202]) ).
fof(f4755,plain,
( ~ sQ312_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f4366,f196]) ).
fof(f4765,plain,
( ~ sQ312_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f4755,f1632,f2519]) ).
fof(f4770,plain,
( ~ sQ191_spl
| ~ sQ104_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f4745,f1564,f1668,f2003]) ).
fof(f4772,plain,
( ~ sQ98_spl
| ~ sQ96_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1643,f1649]) ).
fof(f4773,plain,
( ~ sQ98_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4772,f219]) ).
fof(f4774,plain,
( ~ sQ98_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f4773]) ).
fof(f4776,plain,
( ~ sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f3872,f1716,f1729]) ).
fof(f4778,plain,
( sQ236_spl
| ~ sQ47_spl
| op1(e12,e13) != e13 ),
inference(forward_demodulation,[status(thm)],[f1451,f2151]) ).
fof(f4779,plain,
( sQ236_spl
| ~ sQ47_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f1451,f4778]) ).
fof(f4780,plain,
( sQ236_spl
| ~ sQ47_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4779]) ).
fof(f4781,plain,
( sQ236_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f4780]) ).
fof(f4782,plain,
( sQ311_spl
| ~ sQ312_spl
| op2(e21,e21) != e20 ),
inference(forward_demodulation,[status(thm)],[f4366,f2517]) ).
fof(f4783,plain,
( sQ311_spl
| ~ sQ312_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f277,f4782]) ).
fof(f4784,plain,
( sQ311_spl
| ~ sQ312_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4783]) ).
fof(f4785,plain,
( sQ311_spl
| ~ sQ312_spl ),
inference(contradiction_clause,[status(thm)],[f4784]) ).
fof(f4787,plain,
e22 != op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f3864,f207]) ).
fof(f4799,plain,
( ~ sQ191_spl
| ~ sQ105_spl
| ~ sQ107_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1678,f4508]) ).
fof(f4800,plain,
( ~ sQ191_spl
| ~ sQ105_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4799,f222]) ).
fof(f4801,plain,
( ~ sQ191_spl
| ~ sQ105_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f4800]) ).
fof(f4803,plain,
( ~ sQ96_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f4750,f1681,f1642]) ).
fof(f4810,plain,
e22 != op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f3864,f206]) ).
fof(f4811,plain,
h2(e12) = e22,
inference(forward_demodulation,[status(thm)],[f3864,f3956]) ).
fof(f4812,plain,
( sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4811,f2337]) ).
fof(f4813,plain,
sQ274_spl,
inference(contradiction_clause,[status(thm)],[f4812]) ).
fof(f4830,plain,
( ~ sQ284_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2379,f289]) ).
fof(f4831,plain,
( ~ sQ284_spl
| ~ sQ107_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f1678,f4830]) ).
fof(f4832,plain,
( ~ sQ284_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4831,f223]) ).
fof(f4833,plain,
( ~ sQ284_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f4832]) ).
fof(f4835,plain,
( ~ sQ76_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f4721,f1733,f1577]) ).
fof(f4843,plain,
h4(e13) = op2(op2(e23,e23),h4(e10)),
inference(backward_demodulation,[status(thm)],[f293,f295]) ).
fof(f4844,plain,
h4(e13) = op2(h4(e10),h4(e10)),
inference(forward_demodulation,[status(thm)],[f293,f4843]) ).
fof(f4848,plain,
h1(e13) = h4(e10),
inference(forward_demodulation,[status(thm)],[f293,f3993]) ).
fof(f4850,plain,
( ~ sQ191_spl
| ~ sQ107_spl
| h3(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f1678,f3981]) ).
fof(f4860,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1312,f3550]) ).
fof(f4861,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f4860]) ).
fof(f4867,plain,
h4(e12) = op2(h4(e13),h4(e10)),
inference(forward_demodulation,[status(thm)],[f293,f4013]) ).
fof(f4870,plain,
( ~ sQ191_spl
| ~ sQ107_spl
| e23 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f4850,f4489]) ).
fof(f4872,plain,
( ~ sQ69_spl
| e21 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f1555,f171]) ).
fof(f4877,plain,
( ~ sQ69_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f4872,f1658,f1554]) ).
fof(f4880,plain,
( ~ sQ124_spl
| h4(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f293,f1734]) ).
fof(f4881,plain,
( ~ sQ124_spl
| sQ288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4880,f2397]) ).
fof(f4882,plain,
( ~ sQ124_spl
| sQ288_spl ),
inference(contradiction_clause,[status(thm)],[f4881]) ).
fof(f4888,plain,
( ~ sQ124_spl
| h4(e12) = op2(h4(e13),e20) ),
inference(backward_demodulation,[status(thm)],[f4880,f4867]) ).
fof(f4891,plain,
( ~ sQ124_spl
| h1(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f4880,f4848]) ).
fof(f4906,plain,
( sQ177_spl
| h2(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f4811,f4099]) ).
fof(f4908,plain,
( sQ175_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f4413,f2335,f1951]) ).
fof(f4909,plain,
( sQ174_spl
| h2(op1(e12,e13)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f4811,f4097]) ).
fof(f4910,plain,
( sQ173_spl
| h2(op1(e12,e12)) != op2(e22,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f4811,f1947]) ).
fof(f4911,plain,
( sQ173_spl
| h2(op1(e12,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f4811,f4910]) ).
fof(f4915,plain,
( sQ171_spl
| h2(op1(e12,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f4811,f4126]) ).
fof(f4916,plain,
( sQ171_spl
| ~ sQ96_spl
| h2(op1(e12,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1643,f4915]) ).
fof(f4917,plain,
( sQ169_spl
| h2(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f4811,f4129]) ).
fof(f4919,plain,
( sQ165_spl
| ~ sQ8_spl
| e20 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f4811,f4192]) ).
fof(f4920,plain,
( sQ155_spl
| ~ sQ124_spl
| h1(op1(e13,e13)) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f4891,f1889]) ).
fof(f4921,plain,
( sQ155_spl
| ~ sQ124_spl
| h1(op1(e13,e13)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4891,f4920]) ).
fof(f4922,plain,
( sQ155_spl
| ~ sQ124_spl
| h1(op1(e13,e13)) != e23 ),
inference(forward_demodulation,[status(thm)],[f3865,f4921]) ).
fof(f4936,plain,
( sQ140_spl
| ~ sQ124_spl
| e20 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4891,f4292]) ).
fof(f4939,plain,
( sQ205_spl
| ~ sQ191_spl
| ~ sQ107_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4850,f2047]) ).
fof(f4940,plain,
( sQ205_spl
| ~ sQ191_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4939]) ).
fof(f4941,plain,
( sQ205_spl
| ~ sQ191_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f4940]) ).
fof(f4946,plain,
( ~ sQ123_spl
| ~ sQ191_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1730,f4870]) ).
fof(f4947,plain,
( ~ sQ123_spl
| ~ sQ191_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f4946]) ).
fof(f4952,plain,
( ~ sQ190_spl
| ~ sQ17_spl
| ~ sQ105_spl
| ~ sQ191_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f4520,f1661,f2003,f1671,f1353,f2000]) ).
fof(f4955,plain,
( sQ165_spl
| ~ sQ8_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f4919,f1564,f1324,f1921]) ).
fof(f4956,plain,
( sQ140_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f4936,f1733,f1842]) ).
fof(f4957,plain,
( sQ302_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4414,f1353,f2453]) ).
fof(f4960,plain,
( ~ sQ140_spl
| h1(e13) = op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3859,f1843]) ).
fof(f4961,plain,
( ~ sQ140_spl
| ~ sQ124_spl
| e20 = op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f4891,f4960]) ).
fof(f4962,plain,
( ~ sQ140_spl
| ~ sQ124_spl
| e20 = op2(e23,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3936,f4961]) ).
fof(f4963,plain,
( ~ sQ140_spl
| ~ sQ124_spl
| e20 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3936,f4962]) ).
fof(f4985,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1727,f4787]) ).
fof(f4986,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f4985]) ).
fof(f4991,plain,
( ~ sQ191_spl
| ~ sQ107_spl
| h3(e13) = op2(e23,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f4850,f4143]) ).
fof(f4992,plain,
( ~ sQ191_spl
| ~ sQ107_spl
| h3(e13) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4850,f4991]) ).
fof(f5001,plain,
( ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| e20 = h3(e13) ),
inference(forward_demodulation,[status(thm)],[f4992,f4963]) ).
fof(f5002,plain,
( ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5001,f2358]) ).
fof(f5003,plain,
( ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| sQ279_spl ),
inference(contradiction_clause,[status(thm)],[f5002]) ).
fof(f5005,plain,
( ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ140_spl
| ~ sQ124_spl
| e20 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f5001,f4992]) ).
fof(f5009,plain,
( ~ sQ190_spl
| ~ sQ17_spl
| ~ sQ191_spl
| ~ sQ107_spl
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f4850,f4519]) ).
fof(f5018,plain,
( ~ sQ8_spl
| e10 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1325,f130]) ).
fof(f5091,plain,
( ~ sQ191_spl
| ~ sQ107_spl
| e23 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f4850,f3981]) ).
fof(f5114,plain,
( ~ sQ190_spl
| ~ sQ17_spl
| ~ sQ191_spl
| ~ sQ107_spl
| op2(e22,e21) != e22 ),
inference(forward_demodulation,[status(thm)],[f5009,f204]) ).
fof(f5117,plain,
( ~ sQ102_spl
| ~ sQ190_spl
| ~ sQ17_spl
| ~ sQ191_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1662,f5114]) ).
fof(f5118,plain,
( ~ sQ102_spl
| ~ sQ190_spl
| ~ sQ17_spl
| ~ sQ191_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f5117]) ).
fof(f5151,plain,
( ~ sQ124_spl
| h4(e13) = op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f4880,f4844]) ).
fof(f5152,plain,
( ~ sQ124_spl
| h4(e13) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4880,f5151]) ).
fof(f5155,plain,
( ~ sQ124_spl
| h4(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f3865,f5152]) ).
fof(f5175,plain,
( ~ sQ124_spl
| h4(e12) = op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f5155,f4888]) ).
fof(f5176,plain,
( ~ sQ124_spl
| h4(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f3864,f5175]) ).
fof(f5177,plain,
( ~ sQ124_spl
| sQ298_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5176,f2439]) ).
fof(f5178,plain,
( ~ sQ124_spl
| sQ298_spl ),
inference(contradiction_clause,[status(thm)],[f5177]) ).
fof(f5187,plain,
( ~ sQ234_spl
| ~ sQ39_spl
| op1(e12,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f1425,f2142]) ).
fof(f5188,plain,
( ~ sQ234_spl
| ~ sQ39_spl
| ~ sQ46_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1448,f5187]) ).
fof(f5189,plain,
( ~ sQ234_spl
| ~ sQ39_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5188,f215]) ).
fof(f5190,plain,
( ~ sQ234_spl
| ~ sQ39_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f5189]) ).
fof(f5191,plain,
( sQ224_spl
| ~ sQ60_spl
| h4(e10) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1494,f2108]) ).
fof(f5192,plain,
( sQ224_spl
| ~ sQ60_spl
| ~ sQ124_spl
| e20 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f4880,f5191]) ).
fof(f5193,plain,
( sQ224_spl
| ~ sQ60_spl
| ~ sQ124_spl
| e20 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f5155,f5192]) ).
fof(f5194,plain,
( sQ224_spl
| ~ sQ60_spl
| ~ sQ124_spl
| e20 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f5155,f5193]) ).
fof(f5195,plain,
( sQ224_spl
| ~ sQ60_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ140_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5005,f5194]) ).
fof(f5196,plain,
( sQ224_spl
| ~ sQ60_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ140_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5195]) ).
fof(f5197,plain,
( sQ224_spl
| ~ sQ60_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f5196]) ).
fof(f5212,plain,
( sQ221_spl
| ~ sQ124_spl
| e22 != op2(h4(e13),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f5176,f4381]) ).
fof(f5213,plain,
( sQ221_spl
| ~ sQ124_spl
| e22 != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f5155,f5212]) ).
fof(f5214,plain,
( sQ221_spl
| ~ sQ124_spl
| e22 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f4880,f5213]) ).
fof(f5215,plain,
( sQ221_spl
| ~ sQ124_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3864,f5214]) ).
fof(f5216,plain,
( sQ221_spl
| ~ sQ124_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5215]) ).
fof(f5217,plain,
( sQ221_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f5216]) ).
fof(f5239,plain,
( sQ217_spl
| ~ sQ32_spl
| h4(e10) != op2(h4(e12),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1403,f2087]) ).
fof(f5240,plain,
( sQ217_spl
| ~ sQ32_spl
| ~ sQ124_spl
| e20 != op2(h4(e12),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f4880,f5239]) ).
fof(f5241,plain,
( sQ217_spl
| ~ sQ32_spl
| ~ sQ124_spl
| e20 != op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f5176,f5240]) ).
fof(f5242,plain,
( sQ217_spl
| ~ sQ32_spl
| ~ sQ124_spl
| e20 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f4880,f5241]) ).
fof(f5243,plain,
( sQ217_spl
| ~ sQ32_spl
| ~ sQ124_spl
| ~ sQ96_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1643,f5242]) ).
fof(f5244,plain,
( sQ217_spl
| ~ sQ32_spl
| ~ sQ124_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5243]) ).
fof(f5245,plain,
( sQ217_spl
| ~ sQ32_spl
| ~ sQ124_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f5244]) ).
fof(f5264,plain,
( sQ211_spl
| ~ sQ8_spl
| h4(e10) != op2(h4(e10),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1325,f2069]) ).
fof(f5265,plain,
( sQ211_spl
| ~ sQ8_spl
| ~ sQ124_spl
| e20 != op2(h4(e10),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f4880,f5264]) ).
fof(f5266,plain,
( sQ211_spl
| ~ sQ8_spl
| ~ sQ124_spl
| e20 != op2(e20,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f4880,f5265]) ).
fof(f5267,plain,
( sQ211_spl
| ~ sQ8_spl
| ~ sQ124_spl
| e20 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f5176,f5266]) ).
fof(f5268,plain,
( sQ211_spl
| ~ sQ8_spl
| ~ sQ124_spl
| ~ sQ72_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1565,f5267]) ).
fof(f5269,plain,
( sQ211_spl
| ~ sQ8_spl
| ~ sQ124_spl
| ~ sQ72_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5268]) ).
fof(f5270,plain,
( sQ211_spl
| ~ sQ8_spl
| ~ sQ124_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f5269]) ).
fof(f5273,plain,
( sQ209_spl
| ~ sQ124_spl
| e23 != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f5155,f3858]) ).
fof(f5274,plain,
( sQ209_spl
| ~ sQ124_spl
| e23 != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f4880,f5273]) ).
fof(f5275,plain,
( sQ209_spl
| ~ sQ124_spl
| e23 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4880,f5274]) ).
fof(f5276,plain,
( sQ209_spl
| ~ sQ124_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3865,f5275]) ).
fof(f5277,plain,
( sQ209_spl
| ~ sQ124_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5276]) ).
fof(f5278,plain,
( sQ209_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f5277]) ).
fof(f5280,plain,
( sQ193_spl
| ~ sQ31_spl
| h3(e13) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1399,f4093]) ).
fof(f5282,plain,
( sQ174_spl
| ~ sQ109_spl
| h2(op1(e12,e13)) != e21 ),
inference(forward_demodulation,[status(thm)],[f1685,f4909]) ).
fof(f5283,plain,
( sQ171_spl
| ~ sQ96_spl
| ~ sQ32_spl
| h2(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f1403,f4916]) ).
fof(f5284,plain,
( sQ171_spl
| ~ sQ96_spl
| ~ sQ32_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3960,f5283]) ).
fof(f5285,plain,
( sQ171_spl
| ~ sQ96_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5284]) ).
fof(f5286,plain,
( sQ171_spl
| ~ sQ96_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f5285]) ).
fof(f5287,plain,
( sQ170_spl
| ~ sQ31_spl
| h2(e13) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1399,f4128]) ).
fof(f5288,plain,
( sQ170_spl
| ~ sQ31_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3974,f5287]) ).
fof(f5289,plain,
( sQ170_spl
| ~ sQ31_spl
| ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1639,f5288]) ).
fof(f5290,plain,
( sQ170_spl
| ~ sQ31_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5289]) ).
fof(f5291,plain,
( sQ170_spl
| ~ sQ31_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f5290]) ).
fof(f5306,plain,
( ~ sQ123_spl
| ~ sQ121_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1724,f1730]) ).
fof(f5307,plain,
( ~ sQ123_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5306,f222]) ).
fof(f5308,plain,
( ~ sQ123_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f5307]) ).
fof(f5422,plain,
( sQ201_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| h3(op1(e13,e13)) != op2(e20,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f5001,f2035]) ).
fof(f5423,plain,
( sQ201_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| h3(op1(e13,e13)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5001,f5422]) ).
fof(f5424,plain,
( sQ201_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| h3(op1(e13,e13)) != e23 ),
inference(forward_demodulation,[status(thm)],[f3865,f5423]) ).
fof(f5436,plain,
( sQ199_spl
| ~ sQ55_spl
| h3(e13) != op2(h3(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f1477,f3631]) ).
fof(f5437,plain,
( sQ199_spl
| ~ sQ55_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| e20 != op2(h3(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f5001,f5436]) ).
fof(f5438,plain,
( sQ199_spl
| ~ sQ55_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| e20 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f5001,f5437]) ).
fof(f5439,plain,
( sQ199_spl
| ~ sQ55_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ72_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1565,f5438]) ).
fof(f5440,plain,
( sQ199_spl
| ~ sQ55_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ72_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5439]) ).
fof(f5441,plain,
( sQ199_spl
| ~ sQ55_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f5440]) ).
fof(f5467,plain,
( sQ193_spl
| ~ sQ31_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| e20 != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f5001,f5280]) ).
fof(f5468,plain,
( sQ193_spl
| ~ sQ31_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| e20 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f5001,f5467]) ).
fof(f5469,plain,
( sQ193_spl
| ~ sQ31_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ96_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1643,f5468]) ).
fof(f5470,plain,
( sQ193_spl
| ~ sQ31_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5469]) ).
fof(f5471,plain,
( sQ193_spl
| ~ sQ31_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f5470]) ).
fof(f5500,plain,
( sQ201_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ60_spl
| h3(e10) != e23 ),
inference(backward_demodulation,[status(thm)],[f1494,f5424]) ).
fof(f5501,plain,
( sQ201_spl
| ~ sQ140_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| ~ sQ60_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f5500,f2045,f1493,f1677,f2003,f1733,f1842,f2033]) ).
fof(f5536,plain,
( sQ178_spl
| ~ sQ60_spl
| h2(e10) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1494,f4035]) ).
fof(f5537,plain,
( sQ178_spl
| ~ sQ60_spl
| e20 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3960,f5536]) ).
fof(f5538,plain,
( sQ178_spl
| ~ sQ60_spl
| ~ sQ140_spl
| ~ sQ124_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4963,f5537]) ).
fof(f5539,plain,
( sQ178_spl
| ~ sQ60_spl
| ~ sQ140_spl
| ~ sQ124_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5538]) ).
fof(f5540,plain,
( sQ178_spl
| ~ sQ60_spl
| ~ sQ140_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f5539]) ).
fof(f5541,plain,
( sQ174_spl
| ~ sQ109_spl
| ~ sQ45_spl
| h2(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f1445,f5282]) ).
fof(f5542,plain,
( sQ174_spl
| ~ sQ109_spl
| ~ sQ45_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f284,f5541]) ).
fof(f5543,plain,
( sQ174_spl
| ~ sQ109_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5542]) ).
fof(f5544,plain,
( sQ174_spl
| ~ sQ109_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f5543]) ).
fof(f5549,plain,
( sQ173_spl
| ~ sQ43_spl
| h2(e13) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1438,f4911]) ).
fof(f5550,plain,
( sQ173_spl
| ~ sQ43_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3974,f5549]) ).
fof(f5551,plain,
( sQ173_spl
| ~ sQ43_spl
| ~ sQ191_spl
| ~ sQ107_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f5091,f5550]) ).
fof(f5552,plain,
( sQ173_spl
| ~ sQ43_spl
| ~ sQ191_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5551]) ).
fof(f5553,plain,
( sQ173_spl
| ~ sQ43_spl
| ~ sQ191_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f5552]) ).
fof(f5558,plain,
( sQ169_spl
| ~ sQ26_spl
| h2(e12) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1383,f4917]) ).
fof(f5559,plain,
( sQ169_spl
| ~ sQ26_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f4811,f5558]) ).
fof(f5560,plain,
( sQ169_spl
| ~ sQ26_spl
| ~ sQ90_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1623,f5559]) ).
fof(f5561,plain,
( sQ169_spl
| ~ sQ26_spl
| ~ sQ90_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5560]) ).
fof(f5562,plain,
( sQ169_spl
| ~ sQ26_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f5561]) ).
fof(f5567,plain,
( sQ164_spl
| ~ sQ5_spl
| h2(e11) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1315,f4194]) ).
fof(f5568,plain,
( sQ164_spl
| ~ sQ5_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f284,f5567]) ).
fof(f5569,plain,
( sQ164_spl
| ~ sQ5_spl
| ~ sQ69_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1555,f5568]) ).
fof(f5570,plain,
( sQ164_spl
| ~ sQ5_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5569]) ).
fof(f5571,plain,
( sQ164_spl
| ~ sQ5_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f5570]) ).
fof(f5576,plain,
( sQ155_spl
| ~ sQ124_spl
| ~ sQ60_spl
| h1(e10) != e23 ),
inference(forward_demodulation,[status(thm)],[f1494,f4922]) ).
fof(f5577,plain,
( sQ155_spl
| ~ sQ124_spl
| ~ sQ60_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3936,f5576]) ).
fof(f5578,plain,
( sQ155_spl
| ~ sQ124_spl
| ~ sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5577]) ).
fof(f5579,plain,
( sQ155_spl
| ~ sQ124_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f5578]) ).
fof(f5632,plain,
( ~ sQ137_spl
| ~ sQ121_spl
| op2(e23,e21) = e22 ),
inference(forward_demodulation,[status(thm)],[f1724,f1822]) ).
fof(f5633,plain,
( ~ sQ137_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5632,f4810]) ).
fof(f5634,plain,
( ~ sQ137_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f5633]) ).
fof(f5635,plain,
( ~ sQ138_spl
| ~ sQ140_spl
| ~ sQ124_spl
| op2(e23,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f4963,f1826]) ).
fof(f5636,plain,
( ~ sQ138_spl
| ~ sQ140_spl
| ~ sQ124_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f3864,f5635]) ).
fof(f5637,plain,
( ~ sQ138_spl
| ~ sQ140_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5636,f223]) ).
fof(f5638,plain,
( ~ sQ138_spl
| ~ sQ140_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f5637]) ).
fof(f5639,plain,
( ~ sQ130_spl
| ~ sQ55_spl
| op1(e13,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f1477,f1786]) ).
fof(f5640,plain,
( ~ sQ130_spl
| ~ sQ55_spl
| ~ sQ60_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f1494,f5639]) ).
fof(f5641,plain,
( ~ sQ130_spl
| ~ sQ55_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5640,f212]) ).
fof(f5642,plain,
( ~ sQ130_spl
| ~ sQ55_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f5641]) ).
fof(f5643,plain,
( ~ sQ131_spl
| ~ sQ57_spl
| op1(e13,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f1484,f1790]) ).
fof(f5644,plain,
( ~ sQ131_spl
| ~ sQ57_spl
| ~ sQ55_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1477,f5643]) ).
fof(f5645,plain,
( ~ sQ131_spl
| ~ sQ57_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5644,f217]) ).
fof(f5646,plain,
( ~ sQ131_spl
| ~ sQ57_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f5645]) ).
fof(f5647,plain,
( ~ sQ132_spl
| ~ sQ60_spl
| op1(e13,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f1494,f1794]) ).
fof(f5648,plain,
( ~ sQ132_spl
| ~ sQ60_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f3857,f5647]) ).
fof(f5649,plain,
( ~ sQ132_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5648,f217]) ).
fof(f5650,plain,
( ~ sQ132_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f5649]) ).
fof(f5651,plain,
( sQ231_spl
| ~ sQ124_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f5155,f2132]) ).
fof(f5652,plain,
( sQ231_spl
| ~ sQ124_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5651]) ).
fof(f5653,plain,
( sQ231_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f5652]) ).
fof(f5657,plain,
( sQ176_spl
| ~ sQ55_spl
| h2(e13) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1477,f4068]) ).
fof(f5658,plain,
( sQ176_spl
| ~ sQ55_spl
| e23 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3974,f5657]) ).
fof(f5663,plain,
( ~ sQ111_spl
| ~ sQ109_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1685,f1691]) ).
fof(f5664,plain,
( ~ sQ111_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5663,f222]) ).
fof(f5665,plain,
( ~ sQ111_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f5664]) ).
fof(f5712,plain,
( sQ176_spl
| ~ sQ55_spl
| ~ sQ119_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1717,f5658]) ).
fof(f5713,plain,
( sQ176_spl
| ~ sQ55_spl
| ~ sQ119_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5712]) ).
fof(f5714,plain,
( sQ176_spl
| ~ sQ55_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f5713]) ).
fof(f5724,plain,
( sQ219_spl
| ~ sQ298_spl
| ~ sQ43_spl
| h4(e13) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1438,f3357]) ).
fof(f5725,plain,
( sQ219_spl
| ~ sQ298_spl
| ~ sQ43_spl
| ~ sQ124_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5155,f5724]) ).
fof(f5726,plain,
( sQ219_spl
| ~ sQ298_spl
| ~ sQ43_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f5091,f5725]) ).
fof(f5727,plain,
( sQ219_spl
| ~ sQ298_spl
| ~ sQ43_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5726]) ).
fof(f5728,plain,
( sQ219_spl
| ~ sQ298_spl
| ~ sQ43_spl
| ~ sQ124_spl
| ~ sQ191_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f5727]) ).
fof(f5729,plain,
( sQ172_spl
| ~ sQ38_spl
| e22 != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f4811,f4671]) ).
fof(f5730,plain,
( sQ172_spl
| ~ sQ38_spl
| e22 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f4811,f5729]) ).
fof(f5731,plain,
( sQ172_spl
| ~ sQ38_spl
| ~ sQ102_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1662,f5730]) ).
fof(f5732,plain,
( sQ172_spl
| ~ sQ38_spl
| ~ sQ102_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5731]) ).
fof(f5733,plain,
( sQ172_spl
| ~ sQ38_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f5732]) ).
fof(f5744,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f5018,f1480,f1324]) ).
fof(f5750,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3646,f1447,f1343]) ).
fof(f5755,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f1438,f1432]) ).
fof(f5756,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5755,f216]) ).
fof(f5757,plain,
( ~ sQ41_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f5756]) ).
fof(f5767,plain,
( sQ166_spl
| ~ sQ14_spl
| h2(e12) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1344,f4327]) ).
fof(f5768,plain,
( sQ166_spl
| ~ sQ14_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f4811,f5767]) ).
fof(f5769,plain,
( sQ166_spl
| ~ sQ14_spl
| ~ sQ78_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1584,f5768]) ).
fof(f5770,plain,
( sQ166_spl
| ~ sQ14_spl
| ~ sQ78_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5769]) ).
fof(f5771,plain,
( sQ166_spl
| ~ sQ14_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f5770]) ).
fof(f5772,plain,
( sQ177_spl
| ~ sQ121_spl
| h2(op1(e13,e12)) != e21 ),
inference(forward_demodulation,[status(thm)],[f1724,f4906]) ).
fof(f5789,plain,
( sQ177_spl
| ~ sQ121_spl
| ~ sQ57_spl
| h2(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f1484,f5772]) ).
fof(f5792,plain,
( sQ177_spl
| ~ sQ121_spl
| ~ sQ57_spl
| ~ sQ269_spl ),
inference(split_clause,[status(thm)],[f5789,f2314,f1483,f1723,f1957]) ).
fof(f5793,plain,
$false,
inference(sat_refutation,[status(thm)],[f1323,f1362,f1375,f1414,f1440,f1479,f1492,f1505,f1506,f1508,f1509,f1510,f1516,f1517,f1518,f1519,f1520,f1521,f1523,f1524,f1526,f1527,f1528,f1529,f1530,f1532,f1533,f1535,f1536,f1563,f1615,f1641,f1667,f1680,f1719,f1732,f1746,f1747,f1749,f1750,f1751,f1758,f1760,f1761,f1764,f1765,f1766,f1767,f1769,f1770,f1772,f1776,f1784,f1797,f1804,f1809,f1816,f1829,f1831,f1836,f1839,f1841,f1987,f2140,f2144,f2148,f2152,f2171,f2172,f2180,f2181,f2183,f2202,f2225,f2234,f2235,f2237,f2249,f2296,f2317,f2338,f2359,f2364,f2385,f2398,f2440,f2452,f2460,f2464,f2473,f2474,f2481,f2484,f2489,f2490,f2494,f2501,f2507,f2509,f2510,f2511,f2526,f2530,f2539,f2547,f2550,f2555,f2556,f2560,f2567,f2573,f2575,f2577,f2581,f2589,f2601,f2603,f2609,f2612,f2617,f2629,f2634,f2635,f2638,f2643,f2665,f2671,f2674,f2679,f2691,f2696,f2700,f2703,f2705,f2707,f2712,f2723,f2729,f2733,f2735,f2739,f2743,f2744,f2755,f2761,f2765,f2769,f2779,f2781,f2787,f2790,f2791,f2795,f2805,f2807,f2813,f2815,f2816,f2821,f2822,f2826,f2833,f2837,f2839,f2842,f2843,f2847,f2852,f2859,f2865,f2869,f2873,f2885,f2890,f2891,f2894,f2899,f2911,f2916,f2920,f2925,f2926,f2937,f2940,f2943,f2947,f2951,f2963,f2969,f2973,f2977,f2978,f2987,f2989,f2995,f2998,f2999,f3003,f3004,f3013,f3014,f3015,f3021,f3023,f3024,f3029,f3041,f3047,f3050,f3051,f3055,f3067,f3073,f3077,f3082,f3092,f3093,f3096,f3098,f3099,f3102,f3108,f3118,f3119,f3124,f3128,f3134,f3145,f3151,f3155,f3159,f3160,f3171,f3177,f3181,f3185,f3186,f3194,f3195,f3196,f3198,f3203,f3206,f3207,f3211,f3220,f3221,f3222,f3225,f3229,f3231,f3232,f3237,f3255,f3257,f3258,f3259,f3263,f3281,f3283,f3284,f3285,f3286,f3302,f3303,f3306,f3308,f3324,f3328,f3331,f3335,f3337,f3341,f3346,f3367,f3388,f3392,f3395,f3401,f3411,f3417,f3423,f3436,f3443,f3455,f3458,f3464,f3488,f3491,f3512,f3520,f3534,f3564,f3584,f3590,f3598,f3606,f3676,f3690,f3694,f3697,f3706,f3721,f3750,f3753,f3755,f3765,f3781,f3797,f3806,f3832,f3836,f3837,f3842,f3843,f3847,f3850,f3854,f3870,f3885,f3891,f3893,f3898,f3909,f3913,f3916,f3921,f3929,f3935,f3959,f3963,f3968,f3976,f3978,f4010,f4024,f4044,f4048,f4054,f4057,f4060,f4065,f4085,f4092,f4102,f4106,f4114,f4120,f4121,f4124,f4136,f4145,f4153,f4159,f4165,f4167,f4171,f4175,f4178,f4181,f4201,f4218,f4242,f4245,f4248,f4250,f4263,f4297,f4316,f4320,f4325,f4333,f4336,f4338,f4345,f4350,f4353,f4356,f4358,f4360,f4364,f4367,f4368,f4386,f4388,f4394,f4398,f4403,f4405,f4406,f4409,f4417,f4420,f4428,f4447,f4479,f4485,f4488,f4491,f4495,f4498,f4515,f4544,f4547,f4554,f4556,f4559,f4569,f4573,f4576,f4586,f4593,f4594,f4599,f4602,f4604,f4611,f4619,f4623,f4626,f4630,f4653,f4654,f4665,f4666,f4667,f4687,f4710,f4712,f4715,f4726,f4728,f4731,f4733,f4765,f4770,f4774,f4776,f4781,f4785,f4801,f4803,f4813,f4833,f4835,f4861,f4877,f4882,f4908,f4941,f4947,f4952,f4955,f4956,f4957,f4986,f5003,f5118,f5178,f5190,f5197,f5217,f5245,f5270,f5278,f5286,f5291,f5308,f5441,f5471,f5501,f5540,f5544,f5553,f5562,f5571,f5579,f5634,f5638,f5642,f5646,f5650,f5653,f5665,f5714,f5728,f5733,f5744,f5750,f5757,f5771,f5792]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG126+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n020.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 12:58:17 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 2.43/0.80 % Refutation found
% 2.43/0.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.43/0.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.32/0.85 % Elapsed time: 0.498152 seconds
% 2.32/0.85 % CPU time: 3.358809 seconds
% 2.32/0.85 % Total memory used: 177.721 MB
% 2.32/0.85 % Net memory used: 175.496 MB
%------------------------------------------------------------------------------