%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG128+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 : n010.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 11:48:21 AM UTC 2026
% Result : Theorem 13.86s 2.45s
% Output : CNFRefutation 13.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 646
% Syntax : Number of formulae : 3790 ( 221 unt; 629 def)
% Number of atoms : 19636 (10924 equ)
% Maximal formula atoms : 304 ( 5 avg)
% Number of connectives : 26620 (10774 ~;10849 |;4252 &)
% ( 745 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 631 ( 629 usr; 630 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,e13) = e13 )
| ( ( 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(e13,e13) = e12 )
| ( ( 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(e13,e13) = e11 )
| ( ( 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(e13,e13) = 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(e12,e12) = e13 )
| ( ( 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,e12) = e12 )
| ( ( 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(e12,e12) = e11 )
| ( ( 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(e12,e12) = 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(e11,e11) = e13 )
| ( ( 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(e11,e11) = e12 )
| ( ( 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,e11) = e11 )
| ( ( 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(e11,e11) = 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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,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,e23) = e23 )
| ( ( 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(e23,e23) = e22 )
| ( ( 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(e23,e23) = e21 )
| ( ( 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(e23,e23) = 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(e22,e22) = e23 )
| ( ( 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,e22) = e22 )
| ( ( 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(e22,e22) = e21 )
| ( ( 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(e22,e22) = 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(e21,e21) = e23 )
| ( ( 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(e21,e21) = e22 )
| ( ( 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,e21) = e21 )
| ( ( 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(e21,e21) = 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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e13 = op1(e12,op1(e12,e12))
& e11 = op1(e12,e12)
& e10 = op1(op1(e12,e12),op1(e12,e12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e23 = op2(e22,op2(e22,e22))
& e21 = op2(e22,e22)
& e20 = op2(op2(e22,e22),op2(e22,e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = 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(f20,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f22,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f26,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f28,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(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(f37,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f39,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f52,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f67,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f69,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f71,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f72,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f75,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f76,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f77,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f78,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f89,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f90,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f93,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f94,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f96,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f97,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f98,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f109,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f110,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f113,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f117,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(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(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f128,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f130,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(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(f140,plain,
op1(e10,e10) != op1(e10,e11),
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(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f152,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f154,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f156,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f157,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f167,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(f174,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f178,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f179,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f187,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f189,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f191,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f193,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f194,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(f201,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f202,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f205,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f208,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f210,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(e13,e13) = e12 )
| ( ( 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(e13,e13) = e11 )
| ( ( 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(e13,e13) = 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(e12,e12) = e13 )
| ( ( 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,e12) = e12 )
| ( ( 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(e12,e12) = e11 )
| ( ( 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(e12,e12) = 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(e11,e11) = e13 )
| ( ( 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(e11,e11) = e12 )
| ( ( 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,e11) = e11 )
| ( ( 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(e11,e11) = 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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,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,e13) = e13 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f10,f241,f240]) ).
fof(f243,plain,
( op1(e13,e13) = e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f244,plain,
( op1(e10,e13) = e10
| op1(e10,e10) != e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f248,plain,
( op1(e13,e13) = e13
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f252,plain,
( op1(e13,e13) != e12
| op1(e13,e12) != e13
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f253,plain,
( op1(e13,e13) != e13
| op1(e13,e13) != e13
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f254,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(e23,e23) = e22 )
| ( ( 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(e23,e23) = e21 )
| ( ( 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(e23,e23) = 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(e22,e22) = e23 )
| ( ( 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,e22) = e22 )
| ( ( 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(e22,e22) = e21 )
| ( ( 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(e22,e22) = 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(e21,e21) = e23 )
| ( ( 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(e21,e21) = e22 )
| ( ( 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,e21) = e21 )
| ( ( 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(e21,e21) = 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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f255,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(f256,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,e23) = e23 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f11,f255,f254]) ).
fof(f257,plain,
( op2(e23,e23) = e23
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f258,plain,
( op2(e20,e23) = e20
| op2(e20,e20) != e23
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f262,plain,
( op2(e23,e23) = e23
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f266,plain,
( op2(e23,e23) != e22
| op2(e23,e22) != e23
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f267,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != e23
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f268,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f269,plain,
e11 = op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f270,plain,
e13 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f271,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f272,plain,
e21 = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f273,plain,
e23 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f274,plain,
h1(e12) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f275,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f276,plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f277,plain,
h1(e13) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f278,plain,
h2(e12) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f279,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f280,plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f281,plain,
h2(e13) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f282,plain,
h3(e12) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f283,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f284,plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f285,plain,
h3(e13) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f286,plain,
h4(e12) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f287,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f288,plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f289,plain,
h4(e13) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f290,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(f291,definition,
( sP4_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f292,definition,
( sP5_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f293,definition,
( sP6_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f294,definition,
( sP7_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f295,definition,
( sP8_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f296,definition,
( sP9_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f297,definition,
( sP10_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f298,definition,
( sP11_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f299,definition,
( sP12_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f300,definition,
( sP13_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f301,definition,
( sP14_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f302,definition,
( sP15_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f303,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)],[f290,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291]) ).
fof(f305,plain,
( h1(e11) != e23
| sP6_prd
| sP5_prd
| sP4_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f307,plain,
( h1(e13) != e23
| sP6_prd
| sP5_prd
| sP4_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f311,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)],[f303]) ).
fof(f315,plain,
( h3(e13) != 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)) ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f318,plain,
( h4(e12) != 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)) ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f320,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(e13,e13) = e11 )
| ( ( 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(e13,e13) = 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(e12,e12) = e13 )
| ( ( 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,e12) = e12 )
| ( ( 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(e12,e12) = e11 )
| ( ( 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(e12,e12) = 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(e11,e11) = e13 )
| ( ( 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(e11,e11) = e12 )
| ( ( 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,e11) = e11 )
| ( ( 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(e11,e11) = 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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f321,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(e13,e13) = e12 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f320]) ).
fof(f322,definition,
( sP17_prd
<=> ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f323,definition,
( sP18_prd
<=> ( op1(e11,e12) = e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f324,plain,
( sP0_prd
<=> ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP18_prd
& sP17_prd
& op1(e13,e13) = e12 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f321,f323,f322]) ).
fof(f325,plain,
( ( ( ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ~ sP18_prd
| ~ sP17_prd
| op1(e13,e13) != e12 )
& ~ 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(e13,e13) = e12 )
| sP16_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f324]) ).
fof(f326,plain,
( op1(e13,e13) = e12
| sP16_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f330,plain,
( op1(e13,e12) = e13
| op1(e13,e13) != e12
| sP16_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f331,plain,
( ~ sP16_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f336,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(f337,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,f336]) ).
fof(f338,definition,
( sP20_prd
<=> ( op1(e12,e12) != e10
| op1(e12,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f339,definition,
( sP21_prd
<=> ( op1(e12,e12) != e11
| op1(e12,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f340,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)],[f337,f339,f338]) ).
fof(f341,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)],[f340]) ).
fof(f342,plain,
( op1(e13,e12) = e13
| sP19_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f343,plain,
( op1(e12,e13) = e13
| sP19_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f348,plain,
( ~ sP19_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f353,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(e23,e23) = e21 )
| ( ( 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(e23,e23) = 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(e22,e22) = e23 )
| ( ( 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,e22) = e22 )
| ( ( 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(e22,e22) = e21 )
| ( ( 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(e22,e22) = 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(e21,e21) = e23 )
| ( ( 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(e21,e21) = e22 )
| ( ( 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,e21) = e21 )
| ( ( 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(e21,e21) = 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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f354,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(e23,e23) = e22 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f254,f353]) ).
fof(f355,definition,
( sP23_prd
<=> ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f356,definition,
( sP24_prd
<=> ( op2(e21,e22) = e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f357,plain,
( sP2_prd
<=> ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP24_prd
& sP23_prd
& op2(e23,e23) = e22 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f354,f356,f355]) ).
fof(f358,plain,
( ( ( ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ~ sP24_prd
| ~ sP23_prd
| op2(e23,e23) != e22 )
& ~ 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(e23,e23) = e22 )
| sP22_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f357]) ).
fof(f359,plain,
( op2(e23,e23) = e22
| sP22_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f363,plain,
( op2(e23,e22) = e23
| op2(e23,e23) != e22
| sP22_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f364,plain,
( ~ sP22_prd
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f369,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(f370,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)],[f255,f369]) ).
fof(f371,definition,
( sP26_prd
<=> ( op2(e22,e22) != e20
| op2(e22,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f372,definition,
( sP27_prd
<=> ( op2(e22,e22) != e21
| op2(e22,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f373,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)],[f370,f372,f371]) ).
fof(f374,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)],[f373]) ).
fof(f376,plain,
( op2(e22,e23) = e23
| sP25_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f381,plain,
( ~ sP25_prd
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f386,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)],[f291]) ).
fof(f389,plain,
( h1(e12) != e20
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f392,plain,
( ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21
| sP5_prd )
& ( ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f393,plain,
( h1(e10) != e21
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f394,plain,
( h1(e11) != e21
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f398,plain,
( ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP6_prd )
& ( ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f400,plain,
( h1(e11) != e22
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f402,plain,
( h1(e13) != e22
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f404,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)],[f294]) ).
fof(f406,plain,
( h2(e11) != e20
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f410,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)],[f295]) ).
fof(f413,plain,
( h2(e12) != e21
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f416,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)],[f296]) ).
fof(f417,plain,
( h2(e10) != e22
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f420,plain,
( h2(e13) != e22
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f421,plain,
( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,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)],[f297]) ).
fof(f423,plain,
( h3(e10) != e20
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f428,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)],[f298]) ).
fof(f430,plain,
( h3(e11) != e21
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f434,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)],[f299]) ).
fof(f437,plain,
( h3(e12) != e22
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f440,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)],[f300]) ).
fof(f441,plain,
( h4(e10) != e20
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f440]) ).
fof(f442,plain,
( h4(e11) != e20
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f440]) ).
fof(f446,plain,
( ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP14_prd )
& ( ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f301]) ).
fof(f447,plain,
( h4(e10) != e21
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f448,plain,
( h4(e11) != e21
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f450,plain,
( h4(e13) != e21
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f451,plain,
( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f452,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)],[f302]) ).
fof(f453,plain,
( h4(e10) != e22
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f454,plain,
( h4(e11) != e22
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f456,plain,
( h4(e13) != e22
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f457,plain,
( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f458,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(e13,e13) = 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(e12,e12) = e13 )
| ( ( 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,e12) = e12 )
| ( ( 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(e12,e12) = e11 )
| ( ( 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(e12,e12) = 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(e11,e11) = e13 )
| ( ( 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(e11,e11) = e12 )
| ( ( 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,e11) = e11 )
| ( ( 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(e11,e11) = 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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f459,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(e13,e13) = e11 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f320,f458]) ).
fof(f460,definition,
( sP29_prd
<=> ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f461,definition,
( sP30_prd
<=> ( op1(e11,e11) = e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f462,plain,
( sP16_prd
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP30_prd
& sP29_prd
& op1(e13,e13) = e11 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f459,f461,f460]) ).
fof(f463,plain,
( ( ( ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ~ sP30_prd
| ~ sP29_prd
| op1(e13,e13) != e11 )
& ~ 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(e13,e13) = e11 )
| sP28_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f462]) ).
fof(f464,plain,
( op1(e13,e13) = e11
| sP28_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f463]) ).
fof(f467,plain,
( op1(e12,e11) = e12
| op1(e12,e12) != e11
| sP28_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f463]) ).
fof(f469,plain,
( ~ sP28_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f463]) ).
fof(f474,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)],[f322]) ).
fof(f475,plain,
( op1(e10,e12) = e10
| op1(e10,e10) != e12
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f474]) ).
fof(f476,plain,
( op1(e10,e10) = e12
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f474]) ).
fof(f477,plain,
( op1(e10,e12) != e10
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f474]) ).
fof(f478,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)],[f323]) ).
fof(f480,plain,
( op1(e11,e11) = e12
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f482,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(f483,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)],[f336,f482]) ).
fof(f484,definition,
( sP32_prd
<=> ( op1(e11,e11) != e10
| op1(e11,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f485,definition,
( sP33_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f486,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)],[f483,f485,f484]) ).
fof(f487,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)],[f486]) ).
fof(f488,plain,
( op1(e13,e11) = e13
| sP31_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f487]) ).
fof(f494,plain,
( ~ sP31_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f487]) ).
fof(f499,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)],[f338]) ).
fof(f502,plain,
( op1(e12,e12) = e10
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f499]) ).
fof(f503,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)],[f339]) ).
fof(f505,plain,
( op1(e12,e11) = e12
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f503]) ).
fof(f507,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(e23,e23) = 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(e22,e22) = e23 )
| ( ( 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,e22) = e22 )
| ( ( 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(e22,e22) = e21 )
| ( ( 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(e22,e22) = 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(e21,e21) = e23 )
| ( ( 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(e21,e21) = e22 )
| ( ( 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,e21) = e21 )
| ( ( 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(e21,e21) = 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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f508,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(e23,e23) = e21 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f353,f507]) ).
fof(f509,definition,
( sP35_prd
<=> ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f510,definition,
( sP36_prd
<=> ( op2(e21,e21) = e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f511,plain,
( sP22_prd
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP36_prd
& sP35_prd
& op2(e23,e23) = e21 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f508,f510,f509]) ).
fof(f512,plain,
( ( ( ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ~ sP36_prd
| ~ sP35_prd
| op2(e23,e23) != e21 )
& ~ 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(e23,e23) = e21 )
| sP34_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f511]) ).
fof(f513,plain,
( op2(e23,e23) = e21
| sP34_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f512]) ).
fof(f516,plain,
( op2(e22,e21) = e22
| op2(e22,e22) != e21
| sP34_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f512]) ).
fof(f518,plain,
( ~ sP34_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f512]) ).
fof(f523,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)],[f355]) ).
fof(f524,plain,
( op2(e20,e22) = e20
| op2(e20,e20) != e22
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f523]) ).
fof(f525,plain,
( op2(e20,e20) = e22
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f523]) ).
fof(f526,plain,
( op2(e20,e22) != e20
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f523]) ).
fof(f527,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)],[f356]) ).
fof(f529,plain,
( op2(e21,e21) = e22
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f531,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(f532,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)],[f369,f531]) ).
fof(f533,definition,
( sP38_prd
<=> ( op2(e21,e21) != e20
| op2(e21,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f534,definition,
( sP39_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f535,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)],[f532,f534,f533]) ).
fof(f536,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)],[f535]) ).
fof(f537,plain,
( op2(e23,e21) = e23
| sP37_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f538,plain,
( op2(e21,e23) = e23
| sP37_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f539,plain,
( sP38_prd
| sP37_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f543,plain,
( ~ sP37_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f548,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)],[f371]) ).
fof(f551,plain,
( op2(e22,e22) = e20
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f552,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)],[f372]) ).
fof(f554,plain,
( op2(e22,e21) = e22
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f552]) ).
fof(f556,definition,
( sP40_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(e12,e12) = e13 )
| ( ( 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,e12) = e12 )
| ( ( 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(e12,e12) = e11 )
| ( ( 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(e12,e12) = 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(e11,e11) = e13 )
| ( ( 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(e11,e11) = e12 )
| ( ( 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,e11) = e11 )
| ( ( 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(e11,e11) = 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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f557,plain,
( 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(e13,e13) = e10 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f458,f556]) ).
fof(f558,definition,
( sP41_prd
<=> ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f559,definition,
( sP42_prd
<=> ( op1(e11,e10) = e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f560,plain,
( sP28_prd
<=> ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP42_prd
& sP41_prd
& op1(e13,e13) = e10 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f557,f559,f558]) ).
fof(f561,plain,
( ( ( ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ~ sP42_prd
| ~ sP41_prd
| op1(e13,e13) != e10 )
& ~ sP40_prd )
| sP28_prd )
& ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP42_prd
& sP41_prd
& op1(e13,e13) = e10 )
| sP40_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f560]) ).
fof(f562,plain,
( op1(e13,e13) = e10
| sP40_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f564,plain,
( sP42_prd
| sP40_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f566,plain,
( op1(e13,e10) = e13
| op1(e13,e13) != e10
| sP40_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f567,plain,
( ~ sP40_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f561]) ).
fof(f572,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)],[f460]) ).
fof(f574,plain,
( op1(e10,e10) = e11
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f572]) ).
fof(f576,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)],[f461]) ).
fof(f578,plain,
( op1(e11,e11) = e11
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f580,definition,
( sP43_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,[sP43_prd])],[]) ).
fof(f581,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 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f482,f580]) ).
fof(f582,definition,
( sP44_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f583,definition,
( sP45_prd
<=> ( op1(e10,e10) != e11
| op1(e10,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f584,plain,
( sP31_prd
<=> ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP45_prd
& sP44_prd
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f581,f583,f582]) ).
fof(f585,plain,
( ( ( ( ( op1(e10,e10) = e13
& op1(e10,e13) = e10 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10 )
| ~ sP45_prd
| ~ sP44_prd
| op1(e10,e13) != e13
| op1(e13,e10) != e13 )
& ~ sP43_prd )
| sP31_prd )
& ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP45_prd
& sP44_prd
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| sP43_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f584]) ).
fof(f586,plain,
( op1(e13,e10) = e13
| sP43_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f587,plain,
( op1(e10,e13) = e13
| sP43_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f588,plain,
( sP44_prd
| sP43_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f592,plain,
( ~ sP43_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f597,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)],[f484]) ).
fof(f598,plain,
( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f599,plain,
( op1(e11,e10) = e11
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f601,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)],[f485]) ).
fof(f603,plain,
( op1(e11,e11) = e11
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f601]) ).
fof(f605,definition,
( sP46_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(e22,e22) = e23 )
| ( ( 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,e22) = e22 )
| ( ( 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(e22,e22) = e21 )
| ( ( 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(e22,e22) = 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(e21,e21) = e23 )
| ( ( 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(e21,e21) = e22 )
| ( ( 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,e21) = e21 )
| ( ( 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(e21,e21) = 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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f606,plain,
( 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(e23,e23) = e20 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f507,f605]) ).
fof(f607,definition,
( sP47_prd
<=> ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f608,definition,
( sP48_prd
<=> ( op2(e21,e20) = e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f609,plain,
( sP34_prd
<=> ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP48_prd
& sP47_prd
& op2(e23,e23) = e20 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f606,f608,f607]) ).
fof(f610,plain,
( ( ( ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ~ sP48_prd
| ~ sP47_prd
| op2(e23,e23) != e20 )
& ~ sP46_prd )
| sP34_prd )
& ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP48_prd
& sP47_prd
& op2(e23,e23) = e20 )
| sP46_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f609]) ).
fof(f611,plain,
( op2(e23,e23) = e20
| sP46_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f613,plain,
( sP48_prd
| sP46_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f615,plain,
( op2(e23,e20) = e23
| op2(e23,e23) != e20
| sP46_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f616,plain,
( ~ sP46_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f621,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)],[f509]) ).
fof(f622,plain,
( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f623,plain,
( op2(e20,e20) = e21
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f625,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)],[f510]) ).
fof(f627,plain,
( op2(e21,e21) = e21
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f625]) ).
fof(f629,definition,
( sP49_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,[sP49_prd])],[]) ).
fof(f630,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 )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f531,f629]) ).
fof(f631,definition,
( sP50_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f632,definition,
( sP51_prd
<=> ( op2(e20,e20) != e21
| op2(e20,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f633,plain,
( sP37_prd
<=> ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP51_prd
& sP50_prd
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f630,f632,f631]) ).
fof(f634,plain,
( ( ( ( ( op2(e20,e20) = e23
& op2(e20,e23) = e20 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20 )
| ~ sP51_prd
| ~ sP50_prd
| op2(e20,e23) != e23
| op2(e23,e20) != e23 )
& ~ sP49_prd )
| sP37_prd )
& ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP51_prd
& sP50_prd
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| sP49_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f633]) ).
fof(f635,plain,
( op2(e23,e20) = e23
| sP49_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f636,plain,
( op2(e20,e23) = e23
| sP49_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f637,plain,
( sP50_prd
| sP49_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f639,plain,
( op2(e20,e20) != e22
| op2(e20,e22) != e20
| sP49_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f640,plain,
( op2(e20,e20) != e23
| op2(e20,e23) != e20
| sP49_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f646,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)],[f533]) ).
fof(f647,plain,
( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f646]) ).
fof(f648,plain,
( op2(e21,e20) = e21
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f646]) ).
fof(f650,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)],[f534]) ).
fof(f652,plain,
( op2(e21,e21) = e21
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f650]) ).
fof(f654,definition,
( sP52_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,e12) = e12 )
| ( ( 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(e12,e12) = e11 )
| ( ( 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(e12,e12) = 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(e11,e11) = e13 )
| ( ( 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(e11,e11) = e12 )
| ( ( 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,e11) = e11 )
| ( ( 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(e11,e11) = 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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f655,plain,
( sP40_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(e12,e12) = e13 )
| sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f556,f654]) ).
fof(f656,definition,
( sP53_prd
<=> ( op1(e10,e13) = e10
| op1(e10,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f657,definition,
( sP54_prd
<=> ( op1(e11,e13) = e11
| op1(e11,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f658,plain,
( sP40_prd
<=> ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& sP54_prd
& sP53_prd
& op1(e12,e12) = e13 )
| sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f655,f657,f656]) ).
fof(f659,plain,
( ( ( ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 )
| ~ sP54_prd
| ~ sP53_prd
| op1(e12,e12) != e13 )
& ~ sP52_prd )
| sP40_prd )
& ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& sP54_prd
& sP53_prd
& op1(e12,e12) = e13 )
| sP52_prd
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f658]) ).
fof(f660,plain,
( op1(e12,e12) = e13
| sP52_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f659]) ).
fof(f665,plain,
( ~ sP52_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f659]) ).
fof(f670,plain,
( ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP41_prd )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f558]) ).
fof(f672,plain,
( op1(e10,e10) = e10
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f670]) ).
fof(f673,plain,
( op1(e10,e10) != e10
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f670]) ).
fof(f674,plain,
( ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| sP42_prd )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f559]) ).
fof(f675,plain,
( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f677,plain,
( op1(e11,e10) != e11
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f678,definition,
( sP55_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,[sP55_prd])],[]) ).
fof(f679,plain,
( sP43_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 )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f580,f678]) ).
fof(f680,definition,
( sP56_prd
<=> ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f681,definition,
( sP57_prd
<=> ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f682,plain,
( sP43_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& sP57_prd
& sP56_prd
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f679,f681,f680]) ).
fof(f683,plain,
( ( ( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12
& op1(e13,e12) = e13 )
| ~ sP57_prd
| ~ sP56_prd
| op1(e13,e12) != e12
| op1(e12,e13) != e12 )
& ~ sP55_prd )
| sP43_prd )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& sP57_prd
& sP56_prd
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| sP55_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f682]) ).
fof(f684,plain,
( op1(e12,e13) = e12
| sP55_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f683]) ).
fof(f685,plain,
( op1(e13,e12) = e12
| sP55_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f683]) ).
fof(f688,plain,
( op1(e13,e13) != e12
| op1(e13,e12) != e13
| sP55_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f683]) ).
fof(f689,plain,
( op1(e13,e13) != e13
| op1(e13,e13) != e13
| sP55_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f683]) ).
fof(f690,plain,
( ~ sP55_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f683]) ).
fof(f695,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP44_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f582]) ).
fof(f696,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f695]) ).
fof(f697,plain,
( op1(e10,e10) = e10
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f695]) ).
fof(f699,plain,
( ( ( op1(e10,e10) = e11
& op1(e10,e11) = e10 )
| sP45_prd )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f583]) ).
fof(f701,plain,
( op1(e10,e11) = e10
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f699]) ).
fof(f702,plain,
( op1(e10,e10) = e11
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f699]) ).
fof(f703,definition,
( sP58_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,e22) = e22 )
| ( ( 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(e22,e22) = e21 )
| ( ( 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(e22,e22) = 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(e21,e21) = e23 )
| ( ( 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(e21,e21) = e22 )
| ( ( 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,e21) = e21 )
| ( ( 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(e21,e21) = 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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f704,plain,
( sP46_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(e22,e22) = e23 )
| sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f605,f703]) ).
fof(f705,definition,
( sP59_prd
<=> ( op2(e20,e23) = e20
| op2(e20,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f706,definition,
( sP60_prd
<=> ( op2(e21,e23) = e21
| op2(e21,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f707,plain,
( sP46_prd
<=> ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& sP60_prd
& sP59_prd
& op2(e22,e22) = e23 )
| sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f704,f706,f705]) ).
fof(f708,plain,
( ( ( ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 )
| ~ sP60_prd
| ~ sP59_prd
| op2(e22,e22) != e23 )
& ~ sP58_prd )
| sP46_prd )
& ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& sP60_prd
& sP59_prd
& op2(e22,e22) = e23 )
| sP58_prd
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f707]) ).
fof(f709,plain,
( op2(e22,e22) = e23
| sP58_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f708]) ).
fof(f714,plain,
( ~ sP58_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f708]) ).
fof(f719,plain,
( ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP47_prd )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f607]) ).
fof(f721,plain,
( op2(e20,e20) = e20
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f719]) ).
fof(f723,plain,
( ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| sP48_prd )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f608]) ).
fof(f724,plain,
( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f723]) ).
fof(f726,plain,
( op2(e21,e20) != e21
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f723]) ).
fof(f727,definition,
( sP61_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,[sP61_prd])],[]) ).
fof(f728,plain,
( sP49_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 )
| sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f629,f727]) ).
fof(f729,definition,
( sP62_prd
<=> ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f730,definition,
( sP63_prd
<=> ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f731,plain,
( sP49_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& sP63_prd
& sP62_prd
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f728,f730,f729]) ).
fof(f732,plain,
( ( ( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e23) = e22
& op2(e23,e22) = e23 )
| ~ sP63_prd
| ~ sP62_prd
| op2(e23,e22) != e22
| op2(e22,e23) != e22 )
& ~ sP61_prd )
| sP49_prd )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& sP63_prd
& sP62_prd
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| sP61_prd
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f731]) ).
fof(f733,plain,
( op2(e22,e23) = e22
| sP61_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f732]) ).
fof(f734,plain,
( op2(e23,e22) = e22
| sP61_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f732]) ).
fof(f737,plain,
( op2(e23,e23) != e22
| op2(e23,e22) != e23
| sP61_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f732]) ).
fof(f738,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != e23
| sP61_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f732]) ).
fof(f744,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP50_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f631]) ).
fof(f745,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f746,plain,
( op2(e20,e20) = e20
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f748,plain,
( ( ( op2(e20,e20) = e21
& op2(e20,e21) = e20 )
| sP51_prd )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f632]) ).
fof(f750,plain,
( op2(e20,e21) = e20
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f748]) ).
fof(f752,definition,
( sP64_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(e12,e12) = e11 )
| ( ( 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(e12,e12) = 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(e11,e11) = e13 )
| ( ( 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(e11,e11) = e12 )
| ( ( 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,e11) = e11 )
| ( ( 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(e11,e11) = 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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f753,plain,
( sP52_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,e12) = e12 )
| sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f654,f752]) ).
fof(f754,definition,
( sP65_prd
<=> ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f755,definition,
( sP66_prd
<=> ( op1(e11,e12) = e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f756,plain,
( sP52_prd
<=> ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP66_prd
& sP65_prd
& op1(e12,e12) = e12 )
| sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f753,f755,f754]) ).
fof(f757,plain,
( ( ( ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ~ sP66_prd
| ~ sP65_prd
| op1(e12,e12) != e12 )
& ~ sP64_prd )
| sP52_prd )
& ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP66_prd
& sP65_prd
& op1(e12,e12) = e12 )
| sP64_prd
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f756]) ).
fof(f758,plain,
( op1(e12,e12) = e12
| sP64_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f757]) ).
fof(f763,plain,
( ~ sP64_prd
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f757]) ).
fof(f768,plain,
( ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| sP53_prd )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f656]) ).
fof(f769,plain,
( op1(e10,e13) = e10
| op1(e10,e10) != e13
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f768]) ).
fof(f770,plain,
( op1(e10,e10) = e13
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f768]) ).
fof(f771,plain,
( op1(e10,e13) != e10
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f768]) ).
fof(f772,plain,
( ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| sP54_prd )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f657]) ).
fof(f774,plain,
( op1(e11,e11) = e13
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f772]) ).
fof(f776,definition,
( sP67_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,[sP67_prd])],[]) ).
fof(f777,plain,
( sP55_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 )
| sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f678,f776]) ).
fof(f778,definition,
( sP68_prd
<=> ( op1(e12,e12) != e10
| op1(e12,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f779,definition,
( sP69_prd
<=> ( op1(e12,e12) != e11
| op1(e12,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f780,plain,
( sP55_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP69_prd
& sP68_prd
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f777,f779,f778]) ).
fof(f781,plain,
( ( ( ( ( op1(e12,e12) = e13
& op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP69_prd
| ~ sP68_prd
| op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ~ sP67_prd )
| sP55_prd )
& ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP69_prd
& sP68_prd
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| sP67_prd
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f780]) ).
fof(f782,plain,
( op1(e12,e12) = e12
| sP67_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f781]) ).
fof(f788,plain,
( ~ sP67_prd
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f781]) ).
fof(f793,plain,
( ( ( op1(e13,e13) = e10
& op1(e13,e10) = e13 )
| sP56_prd )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f680]) ).
fof(f795,plain,
( op1(e13,e10) = e13
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f793]) ).
fof(f796,plain,
( op1(e13,e13) = e10
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f793]) ).
fof(f797,plain,
( ( ( op1(e13,e13) = e11
& op1(e13,e11) = e13 )
| sP57_prd )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f681]) ).
fof(f799,plain,
( op1(e13,e11) = e13
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f797]) ).
fof(f801,definition,
( sP70_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(e22,e22) = e21 )
| ( ( 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(e22,e22) = 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(e21,e21) = e23 )
| ( ( 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(e21,e21) = e22 )
| ( ( 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,e21) = e21 )
| ( ( 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(e21,e21) = 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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f802,plain,
( sP58_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,e22) = e22 )
| sP70_prd ) ),
inference(formula_renaming,[status(thm)],[f703,f801]) ).
fof(f803,definition,
( sP71_prd
<=> ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f804,definition,
( sP72_prd
<=> ( op2(e21,e22) = e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP72_prd])],[]) ).
fof(f805,plain,
( sP58_prd
<=> ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP72_prd
& sP71_prd
& op2(e22,e22) = e22 )
| sP70_prd ) ),
inference(formula_renaming,[status(thm)],[f802,f804,f803]) ).
fof(f806,plain,
( ( ( ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ~ sP72_prd
| ~ sP71_prd
| op2(e22,e22) != e22 )
& ~ sP70_prd )
| sP58_prd )
& ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP72_prd
& sP71_prd
& op2(e22,e22) = e22 )
| sP70_prd
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f805]) ).
fof(f807,plain,
( op2(e22,e22) = e22
| sP70_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f806]) ).
fof(f812,plain,
( ~ sP70_prd
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f806]) ).
fof(f817,plain,
( ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| sP59_prd )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f705]) ).
fof(f818,plain,
( op2(e20,e23) = e20
| op2(e20,e20) != e23
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f817]) ).
fof(f819,plain,
( op2(e20,e20) = e23
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f817]) ).
fof(f821,plain,
( ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| sP60_prd )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f706]) ).
fof(f823,plain,
( op2(e21,e21) = e23
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f821]) ).
fof(f825,definition,
( sP73_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,[sP73_prd])],[]) ).
fof(f826,plain,
( sP61_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 )
| sP73_prd ) ),
inference(formula_renaming,[status(thm)],[f727,f825]) ).
fof(f827,definition,
( sP74_prd
<=> ( op2(e22,e22) != e20
| op2(e22,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP74_prd])],[]) ).
fof(f828,definition,
( sP75_prd
<=> ( op2(e22,e22) != e21
| op2(e22,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP75_prd])],[]) ).
fof(f829,plain,
( sP61_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP75_prd
& sP74_prd
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| sP73_prd ) ),
inference(formula_renaming,[status(thm)],[f826,f828,f827]) ).
fof(f830,plain,
( ( ( ( ( op2(e22,e22) = e23
& op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP75_prd
| ~ sP74_prd
| op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ~ sP73_prd )
| sP61_prd )
& ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP75_prd
& sP74_prd
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| sP73_prd
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f829]) ).
fof(f831,plain,
( op2(e22,e22) = e22
| sP73_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f830]) ).
fof(f842,plain,
( ( ( op2(e23,e23) = e20
& op2(e23,e20) = e23 )
| sP62_prd )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f729]) ).
fof(f844,plain,
( op2(e23,e20) = e23
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f842]) ).
fof(f845,plain,
( op2(e23,e23) = e20
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f842]) ).
fof(f846,plain,
( ( ( op2(e23,e23) = e21
& op2(e23,e21) = e23 )
| sP63_prd )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f730]) ).
fof(f848,plain,
( op2(e23,e21) = e23
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f846]) ).
fof(f849,plain,
( op2(e23,e23) = e21
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f846]) ).
fof(f850,definition,
( sP76_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(e12,e12) = 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(e11,e11) = e13 )
| ( ( 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(e11,e11) = e12 )
| ( ( 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,e11) = e11 )
| ( ( 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(e11,e11) = 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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP76_prd])],[]) ).
fof(f851,plain,
( sP64_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(e12,e12) = e11 )
| sP76_prd ) ),
inference(formula_renaming,[status(thm)],[f752,f850]) ).
fof(f852,definition,
( sP77_prd
<=> ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP77_prd])],[]) ).
fof(f853,definition,
( sP78_prd
<=> ( op1(e11,e11) = e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP78_prd])],[]) ).
fof(f854,plain,
( sP64_prd
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP78_prd
& sP77_prd
& op1(e12,e12) = e11 )
| sP76_prd ) ),
inference(formula_renaming,[status(thm)],[f851,f853,f852]) ).
fof(f855,plain,
( ( ( ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ~ sP78_prd
| ~ sP77_prd
| op1(e12,e12) != e11 )
& ~ sP76_prd )
| sP64_prd )
& ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP78_prd
& sP77_prd
& op1(e12,e12) = e11 )
| sP76_prd
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f854]) ).
fof(f859,plain,
( op1(e12,e11) = e12
| op1(e12,e12) != e11
| sP76_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f861,plain,
( ~ sP76_prd
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f866,plain,
( ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| sP65_prd )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f754]) ).
fof(f867,plain,
( op1(e10,e12) = e10
| op1(e10,e10) != e12
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f866]) ).
fof(f868,plain,
( op1(e10,e10) = e12
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f866]) ).
fof(f869,plain,
( op1(e10,e12) != e10
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f866]) ).
fof(f870,plain,
( ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| sP66_prd )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f755]) ).
fof(f872,plain,
( op1(e11,e11) = e12
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f870]) ).
fof(f874,definition,
( sP79_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,[sP79_prd])],[]) ).
fof(f875,plain,
( sP67_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 )
| sP79_prd ) ),
inference(formula_renaming,[status(thm)],[f776,f874]) ).
fof(f876,definition,
( sP80_prd
<=> ( op1(e11,e11) != e10
| op1(e11,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP80_prd])],[]) ).
fof(f877,definition,
( sP81_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP81_prd])],[]) ).
fof(f878,plain,
( sP67_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP81_prd
& sP80_prd
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| sP79_prd ) ),
inference(formula_renaming,[status(thm)],[f875,f877,f876]) ).
fof(f879,plain,
( ( ( ( ( op1(e11,e11) = e13
& op1(e11,e13) = e11 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11 )
| ~ sP81_prd
| ~ sP80_prd
| op1(e11,e12) != e12
| op1(e12,e11) != e12 )
& ~ sP79_prd )
| sP67_prd )
& ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP81_prd
& sP80_prd
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| sP79_prd
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f878]) ).
fof(f880,plain,
( op1(e12,e11) = e12
| sP79_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f879]) ).
fof(f886,plain,
( ~ sP79_prd
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f879]) ).
fof(f891,plain,
( ( ( op1(e12,e12) = e10
& op1(e12,e10) = e12 )
| sP68_prd )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f778]) ).
fof(f894,plain,
( op1(e12,e12) = e10
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f891]) ).
fof(f895,plain,
( ( ( op1(e12,e12) = e11
& op1(e12,e11) = e12 )
| sP69_prd )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f779]) ).
fof(f897,plain,
( op1(e12,e11) = e12
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f895]) ).
fof(f899,definition,
( sP82_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(e22,e22) = 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(e21,e21) = e23 )
| ( ( 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(e21,e21) = e22 )
| ( ( 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,e21) = e21 )
| ( ( 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(e21,e21) = 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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP82_prd])],[]) ).
fof(f900,plain,
( sP70_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(e22,e22) = e21 )
| sP82_prd ) ),
inference(formula_renaming,[status(thm)],[f801,f899]) ).
fof(f901,definition,
( sP83_prd
<=> ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP83_prd])],[]) ).
fof(f902,definition,
( sP84_prd
<=> ( op2(e21,e21) = e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP84_prd])],[]) ).
fof(f903,plain,
( sP70_prd
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP84_prd
& sP83_prd
& op2(e22,e22) = e21 )
| sP82_prd ) ),
inference(formula_renaming,[status(thm)],[f900,f902,f901]) ).
fof(f904,plain,
( ( ( ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ~ sP84_prd
| ~ sP83_prd
| op2(e22,e22) != e21 )
& ~ sP82_prd )
| sP70_prd )
& ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP84_prd
& sP83_prd
& op2(e22,e22) = e21 )
| sP82_prd
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f903]) ).
fof(f906,plain,
( sP83_prd
| sP82_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f904]) ).
fof(f908,plain,
( op2(e22,e21) = e22
| op2(e22,e22) != e21
| sP82_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f904]) ).
fof(f910,plain,
( ~ sP82_prd
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f904]) ).
fof(f915,plain,
( ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| sP71_prd )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f803]) ).
fof(f916,plain,
( op2(e20,e22) = e20
| op2(e20,e20) != e22
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f915]) ).
fof(f917,plain,
( op2(e20,e20) = e22
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f915]) ).
fof(f918,plain,
( op2(e20,e22) != e20
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f915]) ).
fof(f919,plain,
( ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| sP72_prd )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f804]) ).
fof(f921,plain,
( op2(e21,e21) = e22
| sP72_prd ),
inference(cnf_transformation,[status(thm)],[f919]) ).
fof(f923,definition,
( sP85_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,[sP85_prd])],[]) ).
fof(f924,plain,
( sP73_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 )
| sP85_prd ) ),
inference(formula_renaming,[status(thm)],[f825,f923]) ).
fof(f925,definition,
( sP86_prd
<=> ( op2(e21,e21) != e20
| op2(e21,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP86_prd])],[]) ).
fof(f926,definition,
( sP87_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP87_prd])],[]) ).
fof(f927,plain,
( sP73_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP87_prd
& sP86_prd
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| sP85_prd ) ),
inference(formula_renaming,[status(thm)],[f924,f926,f925]) ).
fof(f928,plain,
( ( ( ( ( op2(e21,e21) = e23
& op2(e21,e23) = e21 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21 )
| ~ sP87_prd
| ~ sP86_prd
| op2(e21,e22) != e22
| op2(e22,e21) != e22 )
& ~ sP85_prd )
| sP73_prd )
& ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP87_prd
& sP86_prd
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| sP85_prd
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f927]) ).
fof(f929,plain,
( op2(e22,e21) = e22
| sP85_prd
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f928]) ).
fof(f940,plain,
( ( ( op2(e22,e22) = e20
& op2(e22,e20) = e22 )
| sP74_prd )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| ~ sP74_prd ) ),
inference(NNF_transformation,[status(thm)],[f827]) ).
fof(f943,plain,
( op2(e22,e22) = e20
| sP74_prd ),
inference(cnf_transformation,[status(thm)],[f940]) ).
fof(f944,plain,
( ( ( op2(e22,e22) = e21
& op2(e22,e21) = e22 )
| sP75_prd )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f828]) ).
fof(f946,plain,
( op2(e22,e21) = e22
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f944]) ).
fof(f948,definition,
( sP88_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(e11,e11) = e13 )
| ( ( 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(e11,e11) = e12 )
| ( ( 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,e11) = e11 )
| ( ( 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(e11,e11) = 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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP88_prd])],[]) ).
fof(f949,plain,
( sP76_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(e12,e12) = e10 )
| sP88_prd ) ),
inference(formula_renaming,[status(thm)],[f850,f948]) ).
fof(f950,definition,
( sP89_prd
<=> ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP89_prd])],[]) ).
fof(f951,definition,
( sP90_prd
<=> ( op1(e11,e10) = e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP90_prd])],[]) ).
fof(f952,plain,
( sP76_prd
<=> ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP90_prd
& sP89_prd
& op1(e12,e12) = e10 )
| sP88_prd ) ),
inference(formula_renaming,[status(thm)],[f949,f951,f950]) ).
fof(f953,plain,
( ( ( ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ~ sP90_prd
| ~ sP89_prd
| op1(e12,e12) != e10 )
& ~ sP88_prd )
| sP76_prd )
& ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP90_prd
& sP89_prd
& op1(e12,e12) = e10 )
| sP88_prd
| ~ sP76_prd ) ),
inference(NNF_transformation,[status(thm)],[f952]) ).
fof(f954,plain,
( op1(e12,e12) = e10
| sP88_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f953]) ).
fof(f959,plain,
( ~ sP88_prd
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f953]) ).
fof(f964,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| sP77_prd )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11
| ~ sP77_prd ) ),
inference(NNF_transformation,[status(thm)],[f852]) ).
fof(f966,plain,
( op1(e10,e10) = e11
| sP77_prd ),
inference(cnf_transformation,[status(thm)],[f964]) ).
fof(f968,plain,
( ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP78_prd )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11
| ~ sP78_prd ) ),
inference(NNF_transformation,[status(thm)],[f853]) ).
fof(f970,plain,
( op1(e11,e11) = e11
| sP78_prd ),
inference(cnf_transformation,[status(thm)],[f968]) ).
fof(f972,definition,
( sP91_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,[sP91_prd])],[]) ).
fof(f973,plain,
( sP79_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 )
| sP91_prd ) ),
inference(formula_renaming,[status(thm)],[f874,f972]) ).
fof(f974,definition,
( sP92_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP92_prd])],[]) ).
fof(f975,definition,
( sP93_prd
<=> ( op1(e10,e10) != e11
| op1(e10,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP93_prd])],[]) ).
fof(f976,plain,
( sP79_prd
<=> ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP93_prd
& sP92_prd
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| sP91_prd ) ),
inference(formula_renaming,[status(thm)],[f973,f975,f974]) ).
fof(f977,plain,
( ( ( ( ( op1(e10,e10) = e13
& op1(e10,e13) = e10 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10 )
| ~ sP93_prd
| ~ sP92_prd
| op1(e10,e12) != e12
| op1(e12,e10) != e12 )
& ~ sP91_prd )
| sP79_prd )
& ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP93_prd
& sP92_prd
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| sP91_prd
| ~ sP79_prd ) ),
inference(NNF_transformation,[status(thm)],[f976]) ).
fof(f978,plain,
( op1(e12,e10) = e12
| sP91_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f977]) ).
fof(f979,plain,
( op1(e10,e12) = e12
| sP91_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f977]) ).
fof(f980,plain,
( sP92_prd
| sP91_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f977]) ).
fof(f983,plain,
( op1(e10,e10) != e13
| op1(e10,e13) != e10
| sP91_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f977]) ).
fof(f984,plain,
( ~ sP91_prd
| sP79_prd ),
inference(cnf_transformation,[status(thm)],[f977]) ).
fof(f989,plain,
( ( ( op1(e11,e11) = e10
& op1(e11,e10) = e11 )
| sP80_prd )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP80_prd ) ),
inference(NNF_transformation,[status(thm)],[f876]) ).
fof(f990,plain,
( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f989]) ).
fof(f991,plain,
( op1(e11,e10) = e11
| sP80_prd ),
inference(cnf_transformation,[status(thm)],[f989]) ).
fof(f993,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP81_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP81_prd ) ),
inference(NNF_transformation,[status(thm)],[f877]) ).
fof(f995,plain,
( op1(e11,e11) = e11
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f993]) ).
fof(f997,definition,
( sP94_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(e21,e21) = e23 )
| ( ( 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(e21,e21) = e22 )
| ( ( 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,e21) = e21 )
| ( ( 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(e21,e21) = 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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP94_prd])],[]) ).
fof(f998,plain,
( sP82_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(e22,e22) = e20 )
| sP94_prd ) ),
inference(formula_renaming,[status(thm)],[f899,f997]) ).
fof(f999,definition,
( sP95_prd
<=> ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP95_prd])],[]) ).
fof(f1000,definition,
( sP96_prd
<=> ( op2(e21,e20) = e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP96_prd])],[]) ).
fof(f1001,plain,
( sP82_prd
<=> ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP96_prd
& sP95_prd
& op2(e22,e22) = e20 )
| sP94_prd ) ),
inference(formula_renaming,[status(thm)],[f998,f1000,f999]) ).
fof(f1002,plain,
( ( ( ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ~ sP96_prd
| ~ sP95_prd
| op2(e22,e22) != e20 )
& ~ sP94_prd )
| sP82_prd )
& ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP96_prd
& sP95_prd
& op2(e22,e22) = e20 )
| sP94_prd
| ~ sP82_prd ) ),
inference(NNF_transformation,[status(thm)],[f1001]) ).
fof(f1003,plain,
( op2(e22,e22) = e20
| sP94_prd
| ~ sP82_prd ),
inference(cnf_transformation,[status(thm)],[f1002]) ).
fof(f1008,plain,
( ~ sP94_prd
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f1002]) ).
fof(f1013,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| sP83_prd )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP83_prd ) ),
inference(NNF_transformation,[status(thm)],[f901]) ).
fof(f1014,plain,
( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f1013]) ).
fof(f1015,plain,
( op2(e20,e20) = e21
| sP83_prd ),
inference(cnf_transformation,[status(thm)],[f1013]) ).
fof(f1017,plain,
( ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP84_prd )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21
| ~ sP84_prd ) ),
inference(NNF_transformation,[status(thm)],[f902]) ).
fof(f1019,plain,
( op2(e21,e21) = e21
| sP84_prd ),
inference(cnf_transformation,[status(thm)],[f1017]) ).
fof(f1021,definition,
( sP97_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,[sP97_prd])],[]) ).
fof(f1022,plain,
( sP85_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 )
| sP97_prd ) ),
inference(formula_renaming,[status(thm)],[f923,f1021]) ).
fof(f1023,definition,
( sP98_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP98_prd])],[]) ).
fof(f1024,definition,
( sP99_prd
<=> ( op2(e20,e20) != e21
| op2(e20,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP99_prd])],[]) ).
fof(f1025,plain,
( sP85_prd
<=> ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP99_prd
& sP98_prd
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| sP97_prd ) ),
inference(formula_renaming,[status(thm)],[f1022,f1024,f1023]) ).
fof(f1026,plain,
( ( ( ( ( op2(e20,e20) = e23
& op2(e20,e23) = e20 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20 )
| ~ sP99_prd
| ~ sP98_prd
| op2(e20,e22) != e22
| op2(e22,e20) != e22 )
& ~ sP97_prd )
| sP85_prd )
& ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP99_prd
& sP98_prd
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| sP97_prd
| ~ sP85_prd ) ),
inference(NNF_transformation,[status(thm)],[f1025]) ).
fof(f1027,plain,
( op2(e22,e20) = e22
| sP97_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1028,plain,
( op2(e20,e22) = e22
| sP97_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1029,plain,
( sP98_prd
| sP97_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1031,plain,
( op2(e20,e20) != e22
| op2(e20,e22) != e20
| sP97_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1032,plain,
( op2(e20,e20) != e23
| op2(e20,e23) != e20
| sP97_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1026]) ).
fof(f1038,plain,
( ( ( op2(e21,e21) = e20
& op2(e21,e20) = e21 )
| sP86_prd )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP86_prd ) ),
inference(NNF_transformation,[status(thm)],[f925]) ).
fof(f1039,plain,
( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1038]) ).
fof(f1040,plain,
( op2(e21,e20) = e21
| sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1038]) ).
fof(f1042,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP87_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP87_prd ) ),
inference(NNF_transformation,[status(thm)],[f926]) ).
fof(f1044,plain,
( op2(e21,e21) = e21
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1042]) ).
fof(f1046,definition,
( sP100_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(e11,e11) = e12 )
| ( ( 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,e11) = e11 )
| ( ( 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(e11,e11) = 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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP100_prd])],[]) ).
fof(f1047,plain,
( sP88_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(e11,e11) = e13 )
| sP100_prd ) ),
inference(formula_renaming,[status(thm)],[f948,f1046]) ).
fof(f1048,definition,
( sP101_prd
<=> ( op1(e10,e13) = e10
| op1(e10,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP101_prd])],[]) ).
fof(f1049,definition,
( sP102_prd
<=> ( op1(e11,e13) = e11
| op1(e11,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP102_prd])],[]) ).
fof(f1050,plain,
( sP88_prd
<=> ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& sP102_prd
& sP101_prd
& op1(e11,e11) = e13 )
| sP100_prd ) ),
inference(formula_renaming,[status(thm)],[f1047,f1049,f1048]) ).
fof(f1051,plain,
( ( ( ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 )
| ~ sP102_prd
| ~ sP101_prd
| op1(e11,e11) != e13 )
& ~ sP100_prd )
| sP88_prd )
& ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& sP102_prd
& sP101_prd
& op1(e11,e11) = e13 )
| sP100_prd
| ~ sP88_prd ) ),
inference(NNF_transformation,[status(thm)],[f1050]) ).
fof(f1052,plain,
( op1(e11,e11) = e13
| sP100_prd
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f1051]) ).
fof(f1057,plain,
( ~ sP100_prd
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f1051]) ).
fof(f1062,plain,
( ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP89_prd )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10
| ~ sP89_prd ) ),
inference(NNF_transformation,[status(thm)],[f950]) ).
fof(f1064,plain,
( op1(e10,e10) = e10
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1062]) ).
fof(f1065,plain,
( op1(e10,e10) != e10
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1062]) ).
fof(f1066,plain,
( ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| sP90_prd )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP90_prd ) ),
inference(NNF_transformation,[status(thm)],[f951]) ).
fof(f1067,plain,
( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1066]) ).
fof(f1069,plain,
( op1(e11,e10) != e11
| sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1066]) ).
fof(f1070,definition,
( sP103_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,[sP103_prd])],[]) ).
fof(f1071,plain,
( sP91_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 )
| sP103_prd ) ),
inference(formula_renaming,[status(thm)],[f972,f1070]) ).
fof(f1072,definition,
( sP104_prd
<=> ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP104_prd])],[]) ).
fof(f1073,definition,
( sP105_prd
<=> ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP105_prd])],[]) ).
fof(f1074,plain,
( sP91_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& sP105_prd
& sP104_prd
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| sP103_prd ) ),
inference(formula_renaming,[status(thm)],[f1071,f1073,f1072]) ).
fof(f1075,plain,
( ( ( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12
& op1(e13,e12) = e13 )
| ~ sP105_prd
| ~ sP104_prd
| op1(e13,e11) != e11
| op1(e11,e13) != e11 )
& ~ sP103_prd )
| sP91_prd )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& sP105_prd
& sP104_prd
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| sP103_prd
| ~ sP91_prd ) ),
inference(NNF_transformation,[status(thm)],[f1074]) ).
fof(f1076,plain,
( op1(e11,e13) = e11
| sP103_prd
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1075]) ).
fof(f1077,plain,
( op1(e13,e11) = e11
| sP103_prd
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1075]) ).
fof(f1080,plain,
( op1(e13,e13) != e12
| op1(e13,e12) != e13
| sP103_prd
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1075]) ).
fof(f1081,plain,
( op1(e13,e13) != e13
| op1(e13,e13) != e13
| sP103_prd
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1075]) ).
fof(f1082,plain,
( ~ sP103_prd
| sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1075]) ).
fof(f1087,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP92_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP92_prd ) ),
inference(NNF_transformation,[status(thm)],[f974]) ).
fof(f1088,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1087]) ).
fof(f1089,plain,
( op1(e10,e10) = e10
| sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1087]) ).
fof(f1091,plain,
( ( ( op1(e10,e10) = e11
& op1(e10,e11) = e10 )
| sP93_prd )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| ~ sP93_prd ) ),
inference(NNF_transformation,[status(thm)],[f975]) ).
fof(f1093,plain,
( op1(e10,e11) = e10
| sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1091]) ).
fof(f1094,plain,
( op1(e10,e10) = e11
| sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1091]) ).
fof(f1095,definition,
( sP106_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(e21,e21) = e22 )
| ( ( 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,e21) = e21 )
| ( ( 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(e21,e21) = 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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP106_prd])],[]) ).
fof(f1096,plain,
( sP94_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(e21,e21) = e23 )
| sP106_prd ) ),
inference(formula_renaming,[status(thm)],[f997,f1095]) ).
fof(f1097,definition,
( sP107_prd
<=> ( op2(e20,e23) = e20
| op2(e20,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP107_prd])],[]) ).
fof(f1098,definition,
( sP108_prd
<=> ( op2(e21,e23) = e21
| op2(e21,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP108_prd])],[]) ).
fof(f1099,plain,
( sP94_prd
<=> ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& sP108_prd
& sP107_prd
& op2(e21,e21) = e23 )
| sP106_prd ) ),
inference(formula_renaming,[status(thm)],[f1096,f1098,f1097]) ).
fof(f1100,plain,
( ( ( ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 )
| ~ sP108_prd
| ~ sP107_prd
| op2(e21,e21) != e23 )
& ~ sP106_prd )
| sP94_prd )
& ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& sP108_prd
& sP107_prd
& op2(e21,e21) = e23 )
| sP106_prd
| ~ sP94_prd ) ),
inference(NNF_transformation,[status(thm)],[f1099]) ).
fof(f1101,plain,
( op2(e21,e21) = e23
| sP106_prd
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1100]) ).
fof(f1106,plain,
( ~ sP106_prd
| sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1100]) ).
fof(f1111,plain,
( ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP95_prd )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20
| ~ sP95_prd ) ),
inference(NNF_transformation,[status(thm)],[f999]) ).
fof(f1113,plain,
( op2(e20,e20) = e20
| sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1111]) ).
fof(f1115,plain,
( ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| sP96_prd )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP96_prd ) ),
inference(NNF_transformation,[status(thm)],[f1000]) ).
fof(f1116,plain,
( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1115]) ).
fof(f1118,plain,
( op2(e21,e20) != e21
| sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1115]) ).
fof(f1119,definition,
( sP109_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,[sP109_prd])],[]) ).
fof(f1120,plain,
( sP97_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 )
| sP109_prd ) ),
inference(formula_renaming,[status(thm)],[f1021,f1119]) ).
fof(f1121,definition,
( sP110_prd
<=> ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP110_prd])],[]) ).
fof(f1122,definition,
( sP111_prd
<=> ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP111_prd])],[]) ).
fof(f1123,plain,
( sP97_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& sP111_prd
& sP110_prd
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| sP109_prd ) ),
inference(formula_renaming,[status(thm)],[f1120,f1122,f1121]) ).
fof(f1124,plain,
( ( ( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e23) = e22
& op2(e23,e22) = e23 )
| ~ sP111_prd
| ~ sP110_prd
| op2(e23,e21) != e21
| op2(e21,e23) != e21 )
& ~ sP109_prd )
| sP97_prd )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& sP111_prd
& sP110_prd
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| sP109_prd
| ~ sP97_prd ) ),
inference(NNF_transformation,[status(thm)],[f1123]) ).
fof(f1125,plain,
( op2(e21,e23) = e21
| sP109_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1124]) ).
fof(f1126,plain,
( op2(e23,e21) = e21
| sP109_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1124]) ).
fof(f1129,plain,
( op2(e23,e23) != e22
| op2(e23,e22) != e23
| sP109_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1124]) ).
fof(f1130,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != e23
| sP109_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1124]) ).
fof(f1136,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP98_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP98_prd ) ),
inference(NNF_transformation,[status(thm)],[f1023]) ).
fof(f1137,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1136]) ).
fof(f1138,plain,
( op2(e20,e20) = e20
| sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1136]) ).
fof(f1140,plain,
( ( ( op2(e20,e20) = e21
& op2(e20,e21) = e20 )
| sP99_prd )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| ~ sP99_prd ) ),
inference(NNF_transformation,[status(thm)],[f1024]) ).
fof(f1142,plain,
( op2(e20,e21) = e20
| sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1140]) ).
fof(f1144,definition,
( sP112_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,e11) = e11 )
| ( ( 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(e11,e11) = 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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP112_prd])],[]) ).
fof(f1145,plain,
( sP100_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(e11,e11) = e12 )
| sP112_prd ) ),
inference(formula_renaming,[status(thm)],[f1046,f1144]) ).
fof(f1146,definition,
( sP113_prd
<=> ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP113_prd])],[]) ).
fof(f1147,definition,
( sP114_prd
<=> ( op1(e11,e12) = e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP114_prd])],[]) ).
fof(f1148,plain,
( sP100_prd
<=> ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP114_prd
& sP113_prd
& op1(e11,e11) = e12 )
| sP112_prd ) ),
inference(formula_renaming,[status(thm)],[f1145,f1147,f1146]) ).
fof(f1149,plain,
( ( ( ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ~ sP114_prd
| ~ sP113_prd
| op1(e11,e11) != e12 )
& ~ sP112_prd )
| sP100_prd )
& ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP114_prd
& sP113_prd
& op1(e11,e11) = e12 )
| sP112_prd
| ~ sP100_prd ) ),
inference(NNF_transformation,[status(thm)],[f1148]) ).
fof(f1150,plain,
( op1(e11,e11) = e12
| sP112_prd
| ~ sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1149]) ).
fof(f1155,plain,
( ~ sP112_prd
| sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1149]) ).
fof(f1160,plain,
( ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| sP101_prd )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13
| ~ sP101_prd ) ),
inference(NNF_transformation,[status(thm)],[f1048]) ).
fof(f1161,plain,
( op1(e10,e13) = e10
| op1(e10,e10) != e13
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1160]) ).
fof(f1162,plain,
( op1(e10,e10) = e13
| sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1160]) ).
fof(f1163,plain,
( op1(e10,e13) != e10
| sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1160]) ).
fof(f1164,plain,
( ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| sP102_prd )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13
| ~ sP102_prd ) ),
inference(NNF_transformation,[status(thm)],[f1049]) ).
fof(f1166,plain,
( op1(e11,e11) = e13
| sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1164]) ).
fof(f1168,definition,
( sP115_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,[sP115_prd])],[]) ).
fof(f1169,plain,
( sP103_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 )
| sP115_prd ) ),
inference(formula_renaming,[status(thm)],[f1070,f1168]) ).
fof(f1170,definition,
( sP116_prd
<=> ( op1(e12,e12) != e10
| op1(e12,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP116_prd])],[]) ).
fof(f1171,definition,
( sP117_prd
<=> ( op1(e12,e12) != e11
| op1(e12,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP117_prd])],[]) ).
fof(f1172,plain,
( sP103_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP117_prd
& sP116_prd
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| sP115_prd ) ),
inference(formula_renaming,[status(thm)],[f1169,f1171,f1170]) ).
fof(f1173,plain,
( ( ( ( ( op1(e12,e12) = e13
& op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP117_prd
| ~ sP116_prd
| op1(e12,e11) != e11
| op1(e11,e12) != e11 )
& ~ sP115_prd )
| sP103_prd )
& ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP117_prd
& sP116_prd
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| sP115_prd
| ~ sP103_prd ) ),
inference(NNF_transformation,[status(thm)],[f1172]) ).
fof(f1174,plain,
( op1(e11,e12) = e11
| sP115_prd
| ~ sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1173]) ).
fof(f1180,plain,
( ~ sP115_prd
| sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1173]) ).
fof(f1185,plain,
( ( ( op1(e13,e13) = e10
& op1(e13,e10) = e13 )
| sP104_prd )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ sP104_prd ) ),
inference(NNF_transformation,[status(thm)],[f1072]) ).
fof(f1187,plain,
( op1(e13,e10) = e13
| sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1185]) ).
fof(f1188,plain,
( op1(e13,e13) = e10
| sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1185]) ).
fof(f1189,plain,
( ( ( op1(e13,e13) = e11
& op1(e13,e11) = e13 )
| sP105_prd )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| ~ sP105_prd ) ),
inference(NNF_transformation,[status(thm)],[f1073]) ).
fof(f1191,plain,
( op1(e13,e11) = e13
| sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1189]) ).
fof(f1193,definition,
( sP118_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,e21) = e21 )
| ( ( 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(e21,e21) = 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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP118_prd])],[]) ).
fof(f1194,plain,
( sP106_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(e21,e21) = e22 )
| sP118_prd ) ),
inference(formula_renaming,[status(thm)],[f1095,f1193]) ).
fof(f1195,definition,
( sP119_prd
<=> ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP119_prd])],[]) ).
fof(f1196,definition,
( sP120_prd
<=> ( op2(e21,e22) = e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP120_prd])],[]) ).
fof(f1197,plain,
( sP106_prd
<=> ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP120_prd
& sP119_prd
& op2(e21,e21) = e22 )
| sP118_prd ) ),
inference(formula_renaming,[status(thm)],[f1194,f1196,f1195]) ).
fof(f1198,plain,
( ( ( ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ~ sP120_prd
| ~ sP119_prd
| op2(e21,e21) != e22 )
& ~ sP118_prd )
| sP106_prd )
& ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP120_prd
& sP119_prd
& op2(e21,e21) = e22 )
| sP118_prd
| ~ sP106_prd ) ),
inference(NNF_transformation,[status(thm)],[f1197]) ).
fof(f1199,plain,
( op2(e21,e21) = e22
| sP118_prd
| ~ sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1198]) ).
fof(f1204,plain,
( ~ sP118_prd
| sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1198]) ).
fof(f1209,plain,
( ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| sP107_prd )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23
| ~ sP107_prd ) ),
inference(NNF_transformation,[status(thm)],[f1097]) ).
fof(f1210,plain,
( op2(e20,e23) = e20
| op2(e20,e20) != e23
| ~ sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1209]) ).
fof(f1211,plain,
( op2(e20,e20) = e23
| sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1209]) ).
fof(f1213,plain,
( ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| sP108_prd )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23
| ~ sP108_prd ) ),
inference(NNF_transformation,[status(thm)],[f1098]) ).
fof(f1215,plain,
( op2(e21,e21) = e23
| sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1213]) ).
fof(f1217,definition,
( sP121_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,[sP121_prd])],[]) ).
fof(f1218,plain,
( sP109_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 )
| sP121_prd ) ),
inference(formula_renaming,[status(thm)],[f1119,f1217]) ).
fof(f1219,definition,
( sP122_prd
<=> ( op2(e22,e22) != e20
| op2(e22,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP122_prd])],[]) ).
fof(f1220,definition,
( sP123_prd
<=> ( op2(e22,e22) != e21
| op2(e22,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP123_prd])],[]) ).
fof(f1221,plain,
( sP109_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP123_prd
& sP122_prd
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| sP121_prd ) ),
inference(formula_renaming,[status(thm)],[f1218,f1220,f1219]) ).
fof(f1222,plain,
( ( ( ( ( op2(e22,e22) = e23
& op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP123_prd
| ~ sP122_prd
| op2(e22,e21) != e21
| op2(e21,e22) != e21 )
& ~ sP121_prd )
| sP109_prd )
& ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP123_prd
& sP122_prd
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| sP121_prd
| ~ sP109_prd ) ),
inference(NNF_transformation,[status(thm)],[f1221]) ).
fof(f1223,plain,
( op2(e21,e22) = e21
| sP121_prd
| ~ sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1222]) ).
fof(f1234,plain,
( ( ( op2(e23,e23) = e20
& op2(e23,e20) = e23 )
| sP110_prd )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ sP110_prd ) ),
inference(NNF_transformation,[status(thm)],[f1121]) ).
fof(f1236,plain,
( op2(e23,e20) = e23
| sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1234]) ).
fof(f1237,plain,
( op2(e23,e23) = e20
| sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1234]) ).
fof(f1238,plain,
( ( ( op2(e23,e23) = e21
& op2(e23,e21) = e23 )
| sP111_prd )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| ~ sP111_prd ) ),
inference(NNF_transformation,[status(thm)],[f1122]) ).
fof(f1240,plain,
( op2(e23,e21) = e23
| sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1238]) ).
fof(f1241,plain,
( op2(e23,e23) = e21
| sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1238]) ).
fof(f1242,definition,
( sP124_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(e11,e11) = 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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP124_prd])],[]) ).
fof(f1243,plain,
( sP112_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,e11) = e11 )
| sP124_prd ) ),
inference(formula_renaming,[status(thm)],[f1144,f1242]) ).
fof(f1244,definition,
( sP125_prd
<=> ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP125_prd])],[]) ).
fof(f1245,definition,
( sP126_prd
<=> ( op1(e11,e11) = e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP126_prd])],[]) ).
fof(f1246,plain,
( sP112_prd
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP126_prd
& sP125_prd
& op1(e11,e11) = e11 )
| sP124_prd ) ),
inference(formula_renaming,[status(thm)],[f1243,f1245,f1244]) ).
fof(f1247,plain,
( ( ( ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ~ sP126_prd
| ~ sP125_prd
| op1(e11,e11) != e11 )
& ~ sP124_prd )
| sP112_prd )
& ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP126_prd
& sP125_prd
& op1(e11,e11) = e11 )
| sP124_prd
| ~ sP112_prd ) ),
inference(NNF_transformation,[status(thm)],[f1246]) ).
fof(f1248,plain,
( op1(e11,e11) = e11
| sP124_prd
| ~ sP112_prd ),
inference(cnf_transformation,[status(thm)],[f1247]) ).
fof(f1253,plain,
( ~ sP124_prd
| sP112_prd ),
inference(cnf_transformation,[status(thm)],[f1247]) ).
fof(f1258,plain,
( ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| sP113_prd )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12
| ~ sP113_prd ) ),
inference(NNF_transformation,[status(thm)],[f1146]) ).
fof(f1259,plain,
( op1(e10,e12) = e10
| op1(e10,e10) != e12
| ~ sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1258]) ).
fof(f1260,plain,
( op1(e10,e10) = e12
| sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1258]) ).
fof(f1261,plain,
( op1(e10,e12) != e10
| sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1258]) ).
fof(f1262,plain,
( ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| sP114_prd )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12
| ~ sP114_prd ) ),
inference(NNF_transformation,[status(thm)],[f1147]) ).
fof(f1264,plain,
( op1(e11,e11) = e12
| sP114_prd ),
inference(cnf_transformation,[status(thm)],[f1262]) ).
fof(f1266,definition,
( sP127_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,[sP127_prd])],[]) ).
fof(f1267,plain,
( sP115_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 )
| sP127_prd ) ),
inference(formula_renaming,[status(thm)],[f1168,f1266]) ).
fof(f1268,definition,
( sP128_prd
<=> ( op1(e11,e11) != e10
| op1(e11,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP128_prd])],[]) ).
fof(f1269,definition,
( sP129_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP129_prd])],[]) ).
fof(f1270,plain,
( sP115_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP129_prd
& sP128_prd
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP127_prd ) ),
inference(formula_renaming,[status(thm)],[f1267,f1269,f1268]) ).
fof(f1271,plain,
( ( ( ( ( op1(e11,e11) = e13
& op1(e11,e13) = e11 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11 )
| ~ sP129_prd
| ~ sP128_prd
| op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ~ sP127_prd )
| sP115_prd )
& ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP129_prd
& sP128_prd
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP127_prd
| ~ sP115_prd ) ),
inference(NNF_transformation,[status(thm)],[f1270]) ).
fof(f1272,plain,
( op1(e11,e11) = e11
| sP127_prd
| ~ sP115_prd ),
inference(cnf_transformation,[status(thm)],[f1271]) ).
fof(f1278,plain,
( ~ sP127_prd
| sP115_prd ),
inference(cnf_transformation,[status(thm)],[f1271]) ).
fof(f1283,plain,
( ( ( op1(e12,e12) = e10
& op1(e12,e10) = e12 )
| sP116_prd )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| ~ sP116_prd ) ),
inference(NNF_transformation,[status(thm)],[f1170]) ).
fof(f1286,plain,
( op1(e12,e12) = e10
| sP116_prd ),
inference(cnf_transformation,[status(thm)],[f1283]) ).
fof(f1287,plain,
( ( ( op1(e12,e12) = e11
& op1(e12,e11) = e12 )
| sP117_prd )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| ~ sP117_prd ) ),
inference(NNF_transformation,[status(thm)],[f1171]) ).
fof(f1289,plain,
( op1(e12,e11) = e12
| sP117_prd ),
inference(cnf_transformation,[status(thm)],[f1287]) ).
fof(f1291,definition,
( sP130_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(e21,e21) = 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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP130_prd])],[]) ).
fof(f1292,plain,
( sP118_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,e21) = e21 )
| sP130_prd ) ),
inference(formula_renaming,[status(thm)],[f1193,f1291]) ).
fof(f1293,definition,
( sP131_prd
<=> ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP131_prd])],[]) ).
fof(f1294,definition,
( sP132_prd
<=> ( op2(e21,e21) = e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP132_prd])],[]) ).
fof(f1295,plain,
( sP118_prd
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP132_prd
& sP131_prd
& op2(e21,e21) = e21 )
| sP130_prd ) ),
inference(formula_renaming,[status(thm)],[f1292,f1294,f1293]) ).
fof(f1296,plain,
( ( ( ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ~ sP132_prd
| ~ sP131_prd
| op2(e21,e21) != e21 )
& ~ sP130_prd )
| sP118_prd )
& ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP132_prd
& sP131_prd
& op2(e21,e21) = e21 )
| sP130_prd
| ~ sP118_prd ) ),
inference(NNF_transformation,[status(thm)],[f1295]) ).
fof(f1297,plain,
( op2(e21,e21) = e21
| sP130_prd
| ~ sP118_prd ),
inference(cnf_transformation,[status(thm)],[f1296]) ).
fof(f1302,plain,
( ~ sP130_prd
| sP118_prd ),
inference(cnf_transformation,[status(thm)],[f1296]) ).
fof(f1307,plain,
( ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| sP119_prd )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22
| ~ sP119_prd ) ),
inference(NNF_transformation,[status(thm)],[f1195]) ).
fof(f1308,plain,
( op2(e20,e22) = e20
| op2(e20,e20) != e22
| ~ sP119_prd ),
inference(cnf_transformation,[status(thm)],[f1307]) ).
fof(f1309,plain,
( op2(e20,e20) = e22
| sP119_prd ),
inference(cnf_transformation,[status(thm)],[f1307]) ).
fof(f1310,plain,
( op2(e20,e22) != e20
| sP119_prd ),
inference(cnf_transformation,[status(thm)],[f1307]) ).
fof(f1311,plain,
( ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| sP120_prd )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22
| ~ sP120_prd ) ),
inference(NNF_transformation,[status(thm)],[f1196]) ).
fof(f1313,plain,
( op2(e21,e21) = e22
| sP120_prd ),
inference(cnf_transformation,[status(thm)],[f1311]) ).
fof(f1315,definition,
( sP133_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,[sP133_prd])],[]) ).
fof(f1316,plain,
( sP121_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 )
| sP133_prd ) ),
inference(formula_renaming,[status(thm)],[f1217,f1315]) ).
fof(f1317,definition,
( sP134_prd
<=> ( op2(e21,e21) != e20
| op2(e21,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP134_prd])],[]) ).
fof(f1318,definition,
( sP135_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP135_prd])],[]) ).
fof(f1319,plain,
( sP121_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP135_prd
& sP134_prd
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP133_prd ) ),
inference(formula_renaming,[status(thm)],[f1316,f1318,f1317]) ).
fof(f1320,plain,
( ( ( ( ( op2(e21,e21) = e23
& op2(e21,e23) = e21 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21 )
| ~ sP135_prd
| ~ sP134_prd
| op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ~ sP133_prd )
| sP121_prd )
& ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP135_prd
& sP134_prd
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP133_prd
| ~ sP121_prd ) ),
inference(NNF_transformation,[status(thm)],[f1319]) ).
fof(f1321,plain,
( op2(e21,e21) = e21
| sP133_prd
| ~ sP121_prd ),
inference(cnf_transformation,[status(thm)],[f1320]) ).
fof(f1332,plain,
( ( ( op2(e22,e22) = e20
& op2(e22,e20) = e22 )
| sP122_prd )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| ~ sP122_prd ) ),
inference(NNF_transformation,[status(thm)],[f1219]) ).
fof(f1335,plain,
( op2(e22,e22) = e20
| sP122_prd ),
inference(cnf_transformation,[status(thm)],[f1332]) ).
fof(f1336,plain,
( ( ( op2(e22,e22) = e21
& op2(e22,e21) = e22 )
| sP123_prd )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| ~ sP123_prd ) ),
inference(NNF_transformation,[status(thm)],[f1220]) ).
fof(f1338,plain,
( op2(e22,e21) = e22
| sP123_prd ),
inference(cnf_transformation,[status(thm)],[f1336]) ).
fof(f1340,definition,
( sP136_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(e10,e10) = e13 )
| ( ( 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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP136_prd])],[]) ).
fof(f1341,plain,
( sP124_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(e11,e11) = e10 )
| sP136_prd ) ),
inference(formula_renaming,[status(thm)],[f1242,f1340]) ).
fof(f1342,definition,
( sP137_prd
<=> ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP137_prd])],[]) ).
fof(f1343,definition,
( sP138_prd
<=> ( op1(e11,e10) = e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP138_prd])],[]) ).
fof(f1344,plain,
( sP124_prd
<=> ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP138_prd
& sP137_prd
& op1(e11,e11) = e10 )
| sP136_prd ) ),
inference(formula_renaming,[status(thm)],[f1341,f1343,f1342]) ).
fof(f1345,plain,
( ( ( ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ~ sP138_prd
| ~ sP137_prd
| op1(e11,e11) != e10 )
& ~ sP136_prd )
| sP124_prd )
& ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP138_prd
& sP137_prd
& op1(e11,e11) = e10 )
| sP136_prd
| ~ sP124_prd ) ),
inference(NNF_transformation,[status(thm)],[f1344]) ).
fof(f1347,plain,
( sP137_prd
| sP136_prd
| ~ sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1345]) ).
fof(f1348,plain,
( sP138_prd
| sP136_prd
| ~ sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1345]) ).
fof(f1350,plain,
( op1(e13,e10) = e13
| op1(e13,e13) != e10
| sP136_prd
| ~ sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1345]) ).
fof(f1351,plain,
( ~ sP136_prd
| sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1345]) ).
fof(f1352,plain,
( op1(e13,e13) = e10
| op1(e12,e12) = e10
| ~ sP138_prd
| ~ sP137_prd
| op1(e11,e11) != e10
| sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1345]) ).
fof(f1353,plain,
( op1(e13,e10) != e13
| op1(e12,e12) = e10
| ~ sP138_prd
| ~ sP137_prd
| op1(e11,e11) != e10
| sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1345]) ).
fof(f1354,plain,
( op1(e13,e13) = e10
| op1(e12,e10) != e12
| ~ sP138_prd
| ~ sP137_prd
| op1(e11,e11) != e10
| sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1345]) ).
fof(f1356,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| sP125_prd )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11
| ~ sP125_prd ) ),
inference(NNF_transformation,[status(thm)],[f1244]) ).
fof(f1358,plain,
( op1(e10,e10) = e11
| sP125_prd ),
inference(cnf_transformation,[status(thm)],[f1356]) ).
fof(f1360,plain,
( ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP126_prd )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11
| ~ sP126_prd ) ),
inference(NNF_transformation,[status(thm)],[f1245]) ).
fof(f1362,plain,
( op1(e11,e11) = e11
| sP126_prd ),
inference(cnf_transformation,[status(thm)],[f1360]) ).
fof(f1364,definition,
( sP139_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,[sP139_prd])],[]) ).
fof(f1365,plain,
( sP127_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 )
| sP139_prd ) ),
inference(formula_renaming,[status(thm)],[f1266,f1364]) ).
fof(f1366,definition,
( sP140_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP140_prd])],[]) ).
fof(f1367,definition,
( sP141_prd
<=> ( op1(e10,e10) != e11
| op1(e10,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP141_prd])],[]) ).
fof(f1368,plain,
( sP127_prd
<=> ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP141_prd
& sP140_prd
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| sP139_prd ) ),
inference(formula_renaming,[status(thm)],[f1365,f1367,f1366]) ).
fof(f1369,plain,
( ( ( ( ( op1(e10,e10) = e13
& op1(e10,e13) = e10 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10 )
| ~ sP141_prd
| ~ sP140_prd
| op1(e10,e11) != e11
| op1(e11,e10) != e11 )
& ~ sP139_prd )
| sP127_prd )
& ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP141_prd
& sP140_prd
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| sP139_prd
| ~ sP127_prd ) ),
inference(NNF_transformation,[status(thm)],[f1368]) ).
fof(f1370,plain,
( op1(e11,e10) = e11
| sP139_prd
| ~ sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1369]) ).
fof(f1371,plain,
( op1(e10,e11) = e11
| sP139_prd
| ~ sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1369]) ).
fof(f1372,plain,
( sP140_prd
| sP139_prd
| ~ sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1369]) ).
fof(f1374,plain,
( op1(e10,e10) != e12
| op1(e10,e12) != e10
| sP139_prd
| ~ sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1369]) ).
fof(f1375,plain,
( op1(e10,e10) != e13
| op1(e10,e13) != e10
| sP139_prd
| ~ sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1369]) ).
fof(f1376,plain,
( ~ sP139_prd
| sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1369]) ).
fof(f1378,plain,
( op1(e10,e10) = e13
| op1(e10,e12) = e10
| ~ sP141_prd
| ~ sP140_prd
| op1(e10,e11) != e11
| op1(e11,e10) != e11
| sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1369]) ).
fof(f1379,plain,
( op1(e10,e13) = e10
| op1(e10,e10) = e12
| ~ sP141_prd
| ~ sP140_prd
| op1(e10,e11) != e11
| op1(e11,e10) != e11
| sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1369]) ).
fof(f1381,plain,
( ( ( op1(e11,e11) = e10
& op1(e11,e10) = e11 )
| sP128_prd )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP128_prd ) ),
inference(NNF_transformation,[status(thm)],[f1268]) ).
fof(f1382,plain,
( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP128_prd ),
inference(cnf_transformation,[status(thm)],[f1381]) ).
fof(f1383,plain,
( op1(e11,e10) = e11
| sP128_prd ),
inference(cnf_transformation,[status(thm)],[f1381]) ).
fof(f1385,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP129_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP129_prd ) ),
inference(NNF_transformation,[status(thm)],[f1269]) ).
fof(f1387,plain,
( op1(e11,e11) = e11
| sP129_prd ),
inference(cnf_transformation,[status(thm)],[f1385]) ).
fof(f1389,definition,
( sP142_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(e20,e20) = e23 )
| ( ( 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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP142_prd])],[]) ).
fof(f1390,plain,
( sP130_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(e21,e21) = e20 )
| sP142_prd ) ),
inference(formula_renaming,[status(thm)],[f1291,f1389]) ).
fof(f1391,definition,
( sP143_prd
<=> ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP143_prd])],[]) ).
fof(f1392,definition,
( sP144_prd
<=> ( op2(e21,e20) = e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP144_prd])],[]) ).
fof(f1393,plain,
( sP130_prd
<=> ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP144_prd
& sP143_prd
& op2(e21,e21) = e20 )
| sP142_prd ) ),
inference(formula_renaming,[status(thm)],[f1390,f1392,f1391]) ).
fof(f1394,plain,
( ( ( ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ~ sP144_prd
| ~ sP143_prd
| op2(e21,e21) != e20 )
& ~ sP142_prd )
| sP130_prd )
& ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP144_prd
& sP143_prd
& op2(e21,e21) = e20 )
| sP142_prd
| ~ sP130_prd ) ),
inference(NNF_transformation,[status(thm)],[f1393]) ).
fof(f1396,plain,
( sP143_prd
| sP142_prd
| ~ sP130_prd ),
inference(cnf_transformation,[status(thm)],[f1394]) ).
fof(f1397,plain,
( sP144_prd
| sP142_prd
| ~ sP130_prd ),
inference(cnf_transformation,[status(thm)],[f1394]) ).
fof(f1399,plain,
( op2(e23,e20) = e23
| op2(e23,e23) != e20
| sP142_prd
| ~ sP130_prd ),
inference(cnf_transformation,[status(thm)],[f1394]) ).
fof(f1400,plain,
( ~ sP142_prd
| sP130_prd ),
inference(cnf_transformation,[status(thm)],[f1394]) ).
fof(f1401,plain,
( op2(e23,e23) = e20
| op2(e22,e22) = e20
| ~ sP144_prd
| ~ sP143_prd
| op2(e21,e21) != e20
| sP130_prd ),
inference(cnf_transformation,[status(thm)],[f1394]) ).
fof(f1402,plain,
( op2(e23,e20) != e23
| op2(e22,e22) = e20
| ~ sP144_prd
| ~ sP143_prd
| op2(e21,e21) != e20
| sP130_prd ),
inference(cnf_transformation,[status(thm)],[f1394]) ).
fof(f1405,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| sP131_prd )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP131_prd ) ),
inference(NNF_transformation,[status(thm)],[f1293]) ).
fof(f1406,plain,
( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP131_prd ),
inference(cnf_transformation,[status(thm)],[f1405]) ).
fof(f1407,plain,
( op2(e20,e20) = e21
| sP131_prd ),
inference(cnf_transformation,[status(thm)],[f1405]) ).
fof(f1409,plain,
( ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP132_prd )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21
| ~ sP132_prd ) ),
inference(NNF_transformation,[status(thm)],[f1294]) ).
fof(f1411,plain,
( op2(e21,e21) = e21
| sP132_prd ),
inference(cnf_transformation,[status(thm)],[f1409]) ).
fof(f1413,definition,
( sP145_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,[sP145_prd])],[]) ).
fof(f1414,plain,
( sP133_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 )
| sP145_prd ) ),
inference(formula_renaming,[status(thm)],[f1315,f1413]) ).
fof(f1415,definition,
( sP146_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP146_prd])],[]) ).
fof(f1416,definition,
( sP147_prd
<=> ( op2(e20,e20) != e21
| op2(e20,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP147_prd])],[]) ).
fof(f1417,plain,
( sP133_prd
<=> ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP147_prd
& sP146_prd
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| sP145_prd ) ),
inference(formula_renaming,[status(thm)],[f1414,f1416,f1415]) ).
fof(f1418,plain,
( ( ( ( ( op2(e20,e20) = e23
& op2(e20,e23) = e20 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20 )
| ~ sP147_prd
| ~ sP146_prd
| op2(e20,e21) != e21
| op2(e21,e20) != e21 )
& ~ sP145_prd )
| sP133_prd )
& ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP147_prd
& sP146_prd
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| sP145_prd
| ~ sP133_prd ) ),
inference(NNF_transformation,[status(thm)],[f1417]) ).
fof(f1419,plain,
( op2(e21,e20) = e21
| sP145_prd
| ~ sP133_prd ),
inference(cnf_transformation,[status(thm)],[f1418]) ).
fof(f1420,plain,
( op2(e20,e21) = e21
| sP145_prd
| ~ sP133_prd ),
inference(cnf_transformation,[status(thm)],[f1418]) ).
fof(f1421,plain,
( sP146_prd
| sP145_prd
| ~ sP133_prd ),
inference(cnf_transformation,[status(thm)],[f1418]) ).
fof(f1423,plain,
( op2(e20,e20) != e22
| op2(e20,e22) != e20
| sP145_prd
| ~ sP133_prd ),
inference(cnf_transformation,[status(thm)],[f1418]) ).
fof(f1424,plain,
( op2(e20,e20) != e23
| op2(e20,e23) != e20
| sP145_prd
| ~ sP133_prd ),
inference(cnf_transformation,[status(thm)],[f1418]) ).
fof(f1430,plain,
( ( ( op2(e21,e21) = e20
& op2(e21,e20) = e21 )
| sP134_prd )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP134_prd ) ),
inference(NNF_transformation,[status(thm)],[f1317]) ).
fof(f1431,plain,
( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP134_prd ),
inference(cnf_transformation,[status(thm)],[f1430]) ).
fof(f1432,plain,
( op2(e21,e20) = e21
| sP134_prd ),
inference(cnf_transformation,[status(thm)],[f1430]) ).
fof(f1434,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP135_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP135_prd ) ),
inference(NNF_transformation,[status(thm)],[f1318]) ).
fof(f1436,plain,
( op2(e21,e21) = e21
| sP135_prd ),
inference(cnf_transformation,[status(thm)],[f1434]) ).
fof(f1438,definition,
( sP148_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(e10,e10) = e12 )
| ( ( 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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP148_prd])],[]) ).
fof(f1439,plain,
( sP136_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(e10,e10) = e13 )
| sP148_prd ) ),
inference(formula_renaming,[status(thm)],[f1340,f1438]) ).
fof(f1440,definition,
( sP149_prd
<=> ( op1(e10,e13) = e10
| op1(e10,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP149_prd])],[]) ).
fof(f1441,definition,
( sP150_prd
<=> ( op1(e11,e13) = e11
| op1(e11,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP150_prd])],[]) ).
fof(f1442,plain,
( sP136_prd
<=> ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& sP150_prd
& sP149_prd
& op1(e10,e10) = e13 )
| sP148_prd ) ),
inference(formula_renaming,[status(thm)],[f1439,f1441,f1440]) ).
fof(f1443,plain,
( ( ( ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13 )
| ~ sP150_prd
| ~ sP149_prd
| op1(e10,e10) != e13 )
& ~ sP148_prd )
| sP136_prd )
& ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& sP150_prd
& sP149_prd
& op1(e10,e10) = e13 )
| sP148_prd
| ~ sP136_prd ) ),
inference(NNF_transformation,[status(thm)],[f1442]) ).
fof(f1444,plain,
( op1(e10,e10) = e13
| sP148_prd
| ~ sP136_prd ),
inference(cnf_transformation,[status(thm)],[f1443]) ).
fof(f1445,plain,
( sP149_prd
| sP148_prd
| ~ sP136_prd ),
inference(cnf_transformation,[status(thm)],[f1443]) ).
fof(f1449,plain,
( ~ sP148_prd
| sP136_prd ),
inference(cnf_transformation,[status(thm)],[f1443]) ).
fof(f1451,plain,
( op1(e13,e13) != e13
| op1(e12,e12) = e13
| ~ sP150_prd
| ~ sP149_prd
| op1(e10,e10) != e13
| sP136_prd ),
inference(cnf_transformation,[status(thm)],[f1443]) ).
fof(f1453,plain,
( op1(e13,e13) != e13
| op1(e12,e13) != e12
| ~ sP150_prd
| ~ sP149_prd
| op1(e10,e10) != e13
| sP136_prd ),
inference(cnf_transformation,[status(thm)],[f1443]) ).
fof(f1454,plain,
( ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP137_prd )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10
| ~ sP137_prd ) ),
inference(NNF_transformation,[status(thm)],[f1342]) ).
fof(f1456,plain,
( op1(e10,e10) = e10
| sP137_prd ),
inference(cnf_transformation,[status(thm)],[f1454]) ).
fof(f1457,plain,
( op1(e10,e10) != e10
| sP137_prd ),
inference(cnf_transformation,[status(thm)],[f1454]) ).
fof(f1458,plain,
( ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| sP138_prd )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP138_prd ) ),
inference(NNF_transformation,[status(thm)],[f1343]) ).
fof(f1459,plain,
( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP138_prd ),
inference(cnf_transformation,[status(thm)],[f1458]) ).
fof(f1461,plain,
( op1(e11,e10) != e11
| sP138_prd ),
inference(cnf_transformation,[status(thm)],[f1458]) ).
fof(f1462,definition,
( sP151_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,[sP151_prd])],[]) ).
fof(f1463,plain,
( sP139_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 )
| sP151_prd ) ),
inference(formula_renaming,[status(thm)],[f1364,f1462]) ).
fof(f1464,definition,
( sP152_prd
<=> ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP152_prd])],[]) ).
fof(f1465,definition,
( sP153_prd
<=> ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP153_prd])],[]) ).
fof(f1466,plain,
( sP139_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& sP153_prd
& sP152_prd
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| sP151_prd ) ),
inference(formula_renaming,[status(thm)],[f1463,f1465,f1464]) ).
fof(f1467,plain,
( ( ( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e13) = e12
& op1(e13,e12) = e13 )
| ~ sP153_prd
| ~ sP152_prd
| op1(e13,e10) != e10
| op1(e10,e13) != e10 )
& ~ sP151_prd )
| sP139_prd )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 )
& sP153_prd
& sP152_prd
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| sP151_prd
| ~ sP139_prd ) ),
inference(NNF_transformation,[status(thm)],[f1466]) ).
fof(f1468,plain,
( op1(e10,e13) = e10
| sP151_prd
| ~ sP139_prd ),
inference(cnf_transformation,[status(thm)],[f1467]) ).
fof(f1469,plain,
( op1(e13,e10) = e10
| sP151_prd
| ~ sP139_prd ),
inference(cnf_transformation,[status(thm)],[f1467]) ).
fof(f1472,plain,
( op1(e13,e13) != e12
| op1(e13,e12) != e13
| sP151_prd
| ~ sP139_prd ),
inference(cnf_transformation,[status(thm)],[f1467]) ).
fof(f1473,plain,
( op1(e13,e13) != e13
| op1(e13,e13) != e13
| sP151_prd
| ~ sP139_prd ),
inference(cnf_transformation,[status(thm)],[f1467]) ).
fof(f1474,plain,
( ~ sP151_prd
| sP139_prd ),
inference(cnf_transformation,[status(thm)],[f1467]) ).
fof(f1479,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP140_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP140_prd ) ),
inference(NNF_transformation,[status(thm)],[f1366]) ).
fof(f1480,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP140_prd ),
inference(cnf_transformation,[status(thm)],[f1479]) ).
fof(f1481,plain,
( op1(e10,e10) = e10
| sP140_prd ),
inference(cnf_transformation,[status(thm)],[f1479]) ).
fof(f1483,plain,
( ( ( op1(e10,e10) = e11
& op1(e10,e11) = e10 )
| sP141_prd )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| ~ sP141_prd ) ),
inference(NNF_transformation,[status(thm)],[f1367]) ).
fof(f1485,plain,
( op1(e10,e11) = e10
| sP141_prd ),
inference(cnf_transformation,[status(thm)],[f1483]) ).
fof(f1486,plain,
( op1(e10,e10) = e11
| sP141_prd ),
inference(cnf_transformation,[status(thm)],[f1483]) ).
fof(f1487,definition,
( sP154_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(e20,e20) = e22 )
| ( ( 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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP154_prd])],[]) ).
fof(f1488,plain,
( sP142_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(e20,e20) = e23 )
| sP154_prd ) ),
inference(formula_renaming,[status(thm)],[f1389,f1487]) ).
fof(f1489,definition,
( sP155_prd
<=> ( op2(e20,e23) = e20
| op2(e20,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP155_prd])],[]) ).
fof(f1490,definition,
( sP156_prd
<=> ( op2(e21,e23) = e21
| op2(e21,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP156_prd])],[]) ).
fof(f1491,plain,
( sP142_prd
<=> ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& sP156_prd
& sP155_prd
& op2(e20,e20) = e23 )
| sP154_prd ) ),
inference(formula_renaming,[status(thm)],[f1488,f1490,f1489]) ).
fof(f1492,plain,
( ( ( ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23 )
| ~ sP156_prd
| ~ sP155_prd
| op2(e20,e20) != e23 )
& ~ sP154_prd )
| sP142_prd )
& ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& sP156_prd
& sP155_prd
& op2(e20,e20) = e23 )
| sP154_prd
| ~ sP142_prd ) ),
inference(NNF_transformation,[status(thm)],[f1491]) ).
fof(f1493,plain,
( op2(e20,e20) = e23
| sP154_prd
| ~ sP142_prd ),
inference(cnf_transformation,[status(thm)],[f1492]) ).
fof(f1494,plain,
( sP155_prd
| sP154_prd
| ~ sP142_prd ),
inference(cnf_transformation,[status(thm)],[f1492]) ).
fof(f1498,plain,
( ~ sP154_prd
| sP142_prd ),
inference(cnf_transformation,[status(thm)],[f1492]) ).
fof(f1499,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e23
| ~ sP156_prd
| ~ sP155_prd
| op2(e20,e20) != e23
| sP142_prd ),
inference(cnf_transformation,[status(thm)],[f1492]) ).
fof(f1500,plain,
( op2(e23,e23) != e23
| op2(e22,e22) = e23
| ~ sP156_prd
| ~ sP155_prd
| op2(e20,e20) != e23
| sP142_prd ),
inference(cnf_transformation,[status(thm)],[f1492]) ).
fof(f1503,plain,
( ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP143_prd )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20
| ~ sP143_prd ) ),
inference(NNF_transformation,[status(thm)],[f1391]) ).
fof(f1505,plain,
( op2(e20,e20) = e20
| sP143_prd ),
inference(cnf_transformation,[status(thm)],[f1503]) ).
fof(f1506,plain,
( op2(e20,e20) != e20
| sP143_prd ),
inference(cnf_transformation,[status(thm)],[f1503]) ).
fof(f1507,plain,
( ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| sP144_prd )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP144_prd ) ),
inference(NNF_transformation,[status(thm)],[f1392]) ).
fof(f1508,plain,
( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP144_prd ),
inference(cnf_transformation,[status(thm)],[f1507]) ).
fof(f1510,plain,
( op2(e21,e20) != e21
| sP144_prd ),
inference(cnf_transformation,[status(thm)],[f1507]) ).
fof(f1511,definition,
( sP157_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,[sP157_prd])],[]) ).
fof(f1512,plain,
( sP145_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 )
| sP157_prd ) ),
inference(formula_renaming,[status(thm)],[f1413,f1511]) ).
fof(f1513,definition,
( sP158_prd
<=> ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP158_prd])],[]) ).
fof(f1514,definition,
( sP159_prd
<=> ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP159_prd])],[]) ).
fof(f1515,plain,
( sP145_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& sP159_prd
& sP158_prd
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| sP157_prd ) ),
inference(formula_renaming,[status(thm)],[f1512,f1514,f1513]) ).
fof(f1516,plain,
( ( ( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e23) = e22
& op2(e23,e22) = e23 )
| ~ sP159_prd
| ~ sP158_prd
| op2(e23,e20) != e20
| op2(e20,e23) != e20 )
& ~ sP157_prd )
| sP145_prd )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 )
& sP159_prd
& sP158_prd
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| sP157_prd
| ~ sP145_prd ) ),
inference(NNF_transformation,[status(thm)],[f1515]) ).
fof(f1517,plain,
( op2(e20,e23) = e20
| sP157_prd
| ~ sP145_prd ),
inference(cnf_transformation,[status(thm)],[f1516]) ).
fof(f1518,plain,
( op2(e23,e20) = e20
| sP157_prd
| ~ sP145_prd ),
inference(cnf_transformation,[status(thm)],[f1516]) ).
fof(f1522,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != e23
| sP157_prd
| ~ sP145_prd ),
inference(cnf_transformation,[status(thm)],[f1516]) ).
fof(f1528,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP146_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP146_prd ) ),
inference(NNF_transformation,[status(thm)],[f1415]) ).
fof(f1529,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP146_prd ),
inference(cnf_transformation,[status(thm)],[f1528]) ).
fof(f1530,plain,
( op2(e20,e20) = e20
| sP146_prd ),
inference(cnf_transformation,[status(thm)],[f1528]) ).
fof(f1532,plain,
( ( ( op2(e20,e20) = e21
& op2(e20,e21) = e20 )
| sP147_prd )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| ~ sP147_prd ) ),
inference(NNF_transformation,[status(thm)],[f1416]) ).
fof(f1534,plain,
( op2(e20,e21) = e20
| sP147_prd ),
inference(cnf_transformation,[status(thm)],[f1532]) ).
fof(f1536,definition,
( sP160_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(e10,e10) = e11 )
| ( ( 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,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP160_prd])],[]) ).
fof(f1537,plain,
( sP148_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(e10,e10) = e12 )
| sP160_prd ) ),
inference(formula_renaming,[status(thm)],[f1438,f1536]) ).
fof(f1538,definition,
( sP161_prd
<=> ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP161_prd])],[]) ).
fof(f1539,definition,
( sP162_prd
<=> ( op1(e11,e12) = e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP162_prd])],[]) ).
fof(f1540,plain,
( sP148_prd
<=> ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP162_prd
& sP161_prd
& op1(e10,e10) = e12 )
| sP160_prd ) ),
inference(formula_renaming,[status(thm)],[f1537,f1539,f1538]) ).
fof(f1541,plain,
( ( ( ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ~ sP162_prd
| ~ sP161_prd
| op1(e10,e10) != e12 )
& ~ sP160_prd )
| sP148_prd )
& ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP162_prd
& sP161_prd
& op1(e10,e10) = e12 )
| sP160_prd
| ~ sP148_prd ) ),
inference(NNF_transformation,[status(thm)],[f1540]) ).
fof(f1542,plain,
( op1(e10,e10) = e12
| sP160_prd
| ~ sP148_prd ),
inference(cnf_transformation,[status(thm)],[f1541]) ).
fof(f1543,plain,
( sP161_prd
| sP160_prd
| ~ sP148_prd ),
inference(cnf_transformation,[status(thm)],[f1541]) ).
fof(f1547,plain,
( ~ sP160_prd
| sP148_prd ),
inference(cnf_transformation,[status(thm)],[f1541]) ).
fof(f1548,plain,
( op1(e13,e13) = e12
| op1(e12,e12) = e12
| ~ sP162_prd
| ~ sP161_prd
| op1(e10,e10) != e12
| sP148_prd ),
inference(cnf_transformation,[status(thm)],[f1541]) ).
fof(f1549,plain,
( op1(e13,e12) != e13
| op1(e12,e12) = e12
| ~ sP162_prd
| ~ sP161_prd
| op1(e10,e10) != e12
| sP148_prd ),
inference(cnf_transformation,[status(thm)],[f1541]) ).
fof(f1552,plain,
( ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13 )
| sP149_prd )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13
| ~ sP149_prd ) ),
inference(NNF_transformation,[status(thm)],[f1440]) ).
fof(f1553,plain,
( op1(e10,e13) = e10
| op1(e10,e10) != e13
| ~ sP149_prd ),
inference(cnf_transformation,[status(thm)],[f1552]) ).
fof(f1554,plain,
( op1(e10,e10) = e13
| sP149_prd ),
inference(cnf_transformation,[status(thm)],[f1552]) ).
fof(f1555,plain,
( op1(e10,e13) != e10
| sP149_prd ),
inference(cnf_transformation,[status(thm)],[f1552]) ).
fof(f1556,plain,
( ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13 )
| sP150_prd )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13
| ~ sP150_prd ) ),
inference(NNF_transformation,[status(thm)],[f1441]) ).
fof(f1558,plain,
( op1(e11,e11) = e13
| sP150_prd ),
inference(cnf_transformation,[status(thm)],[f1556]) ).
fof(f1560,definition,
( sP163_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,[sP163_prd])],[]) ).
fof(f1561,plain,
( sP151_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 )
| sP163_prd ) ),
inference(formula_renaming,[status(thm)],[f1462,f1560]) ).
fof(f1562,definition,
( sP164_prd
<=> ( op1(e12,e12) != e10
| op1(e12,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP164_prd])],[]) ).
fof(f1563,definition,
( sP165_prd
<=> ( op1(e12,e12) != e11
| op1(e12,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP165_prd])],[]) ).
fof(f1564,plain,
( sP151_prd
<=> ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP165_prd
& sP164_prd
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| sP163_prd ) ),
inference(formula_renaming,[status(thm)],[f1561,f1563,f1562]) ).
fof(f1565,plain,
( ( ( ( ( op1(e12,e12) = e13
& op1(e12,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP165_prd
| ~ sP164_prd
| op1(e12,e10) != e10
| op1(e10,e12) != e10 )
& ~ sP163_prd )
| sP151_prd )
& ( ( ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP165_prd
& sP164_prd
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| sP163_prd
| ~ sP151_prd ) ),
inference(NNF_transformation,[status(thm)],[f1564]) ).
fof(f1566,plain,
( op1(e10,e12) = e10
| sP163_prd
| ~ sP151_prd ),
inference(cnf_transformation,[status(thm)],[f1565]) ).
fof(f1567,plain,
( op1(e12,e10) = e10
| sP163_prd
| ~ sP151_prd ),
inference(cnf_transformation,[status(thm)],[f1565]) ).
fof(f1572,plain,
( ~ sP163_prd
| sP151_prd ),
inference(cnf_transformation,[status(thm)],[f1565]) ).
fof(f1574,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| ~ sP165_prd
| ~ sP164_prd
| op1(e12,e10) != e10
| op1(e10,e12) != e10
| sP151_prd ),
inference(cnf_transformation,[status(thm)],[f1565]) ).
fof(f1577,plain,
( ( ( op1(e13,e13) = e10
& op1(e13,e10) = e13 )
| sP152_prd )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13
| ~ sP152_prd ) ),
inference(NNF_transformation,[status(thm)],[f1464]) ).
fof(f1579,plain,
( op1(e13,e10) = e13
| sP152_prd ),
inference(cnf_transformation,[status(thm)],[f1577]) ).
fof(f1580,plain,
( op1(e13,e13) = e10
| sP152_prd ),
inference(cnf_transformation,[status(thm)],[f1577]) ).
fof(f1581,plain,
( ( ( op1(e13,e13) = e11
& op1(e13,e11) = e13 )
| sP153_prd )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13
| ~ sP153_prd ) ),
inference(NNF_transformation,[status(thm)],[f1465]) ).
fof(f1583,plain,
( op1(e13,e11) = e13
| sP153_prd ),
inference(cnf_transformation,[status(thm)],[f1581]) ).
fof(f1585,definition,
( sP166_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(e20,e20) = e21 )
| ( ( 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,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP166_prd])],[]) ).
fof(f1586,plain,
( sP154_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(e20,e20) = e22 )
| sP166_prd ) ),
inference(formula_renaming,[status(thm)],[f1487,f1585]) ).
fof(f1587,definition,
( sP167_prd
<=> ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP167_prd])],[]) ).
fof(f1588,definition,
( sP168_prd
<=> ( op2(e21,e22) = e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP168_prd])],[]) ).
fof(f1589,plain,
( sP154_prd
<=> ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP168_prd
& sP167_prd
& op2(e20,e20) = e22 )
| sP166_prd ) ),
inference(formula_renaming,[status(thm)],[f1586,f1588,f1587]) ).
fof(f1590,plain,
( ( ( ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ~ sP168_prd
| ~ sP167_prd
| op2(e20,e20) != e22 )
& ~ sP166_prd )
| sP154_prd )
& ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP168_prd
& sP167_prd
& op2(e20,e20) = e22 )
| sP166_prd
| ~ sP154_prd ) ),
inference(NNF_transformation,[status(thm)],[f1589]) ).
fof(f1591,plain,
( op2(e20,e20) = e22
| sP166_prd
| ~ sP154_prd ),
inference(cnf_transformation,[status(thm)],[f1590]) ).
fof(f1592,plain,
( sP167_prd
| sP166_prd
| ~ sP154_prd ),
inference(cnf_transformation,[status(thm)],[f1590]) ).
fof(f1597,plain,
( op2(e23,e23) = e22
| op2(e22,e22) = e22
| ~ sP168_prd
| ~ sP167_prd
| op2(e20,e20) != e22
| sP154_prd ),
inference(cnf_transformation,[status(thm)],[f1590]) ).
fof(f1601,plain,
( ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23 )
| sP155_prd )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23
| ~ sP155_prd ) ),
inference(NNF_transformation,[status(thm)],[f1489]) ).
fof(f1602,plain,
( op2(e20,e23) = e20
| op2(e20,e20) != e23
| ~ sP155_prd ),
inference(cnf_transformation,[status(thm)],[f1601]) ).
fof(f1603,plain,
( op2(e20,e20) = e23
| sP155_prd ),
inference(cnf_transformation,[status(thm)],[f1601]) ).
fof(f1604,plain,
( op2(e20,e23) != e20
| sP155_prd ),
inference(cnf_transformation,[status(thm)],[f1601]) ).
fof(f1605,plain,
( ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23 )
| sP156_prd )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23
| ~ sP156_prd ) ),
inference(NNF_transformation,[status(thm)],[f1490]) ).
fof(f1607,plain,
( op2(e21,e21) = e23
| sP156_prd ),
inference(cnf_transformation,[status(thm)],[f1605]) ).
fof(f1609,definition,
( sP169_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,[sP169_prd])],[]) ).
fof(f1610,plain,
( sP157_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 )
| sP169_prd ) ),
inference(formula_renaming,[status(thm)],[f1511,f1609]) ).
fof(f1611,definition,
( sP170_prd
<=> ( op2(e22,e22) != e20
| op2(e22,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP170_prd])],[]) ).
fof(f1612,definition,
( sP171_prd
<=> ( op2(e22,e22) != e21
| op2(e22,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP171_prd])],[]) ).
fof(f1613,plain,
( sP157_prd
<=> ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP171_prd
& sP170_prd
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| sP169_prd ) ),
inference(formula_renaming,[status(thm)],[f1610,f1612,f1611]) ).
fof(f1614,plain,
( ( ( ( ( op2(e22,e22) = e23
& op2(e22,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP171_prd
| ~ sP170_prd
| op2(e22,e20) != e20
| op2(e20,e22) != e20 )
& ~ sP169_prd )
| sP157_prd )
& ( ( ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP171_prd
& sP170_prd
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| sP169_prd
| ~ sP157_prd ) ),
inference(NNF_transformation,[status(thm)],[f1613]) ).
fof(f1615,plain,
( op2(e20,e22) = e20
| sP169_prd
| ~ sP157_prd ),
inference(cnf_transformation,[status(thm)],[f1614]) ).
fof(f1616,plain,
( op2(e22,e20) = e20
| sP169_prd
| ~ sP157_prd ),
inference(cnf_transformation,[status(thm)],[f1614]) ).
fof(f1626,plain,
( ( ( op2(e23,e23) = e20
& op2(e23,e20) = e23 )
| sP158_prd )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23
| ~ sP158_prd ) ),
inference(NNF_transformation,[status(thm)],[f1513]) ).
fof(f1628,plain,
( op2(e23,e20) = e23
| sP158_prd ),
inference(cnf_transformation,[status(thm)],[f1626]) ).
fof(f1629,plain,
( op2(e23,e23) = e20
| sP158_prd ),
inference(cnf_transformation,[status(thm)],[f1626]) ).
fof(f1630,plain,
( ( ( op2(e23,e23) = e21
& op2(e23,e21) = e23 )
| sP159_prd )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23
| ~ sP159_prd ) ),
inference(NNF_transformation,[status(thm)],[f1514]) ).
fof(f1632,plain,
( op2(e23,e21) = e23
| sP159_prd ),
inference(cnf_transformation,[status(thm)],[f1630]) ).
fof(f1633,plain,
( op2(e23,e23) = e21
| sP159_prd ),
inference(cnf_transformation,[status(thm)],[f1630]) ).
fof(f1634,definition,
( sP172_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,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP172_prd])],[]) ).
fof(f1635,plain,
( sP160_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(e10,e10) = e11 )
| sP172_prd ) ),
inference(formula_renaming,[status(thm)],[f1536,f1634]) ).
fof(f1636,definition,
( sP173_prd
<=> ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP173_prd])],[]) ).
fof(f1637,definition,
( sP174_prd
<=> ( op1(e11,e11) = e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP174_prd])],[]) ).
fof(f1638,plain,
( sP160_prd
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP174_prd
& sP173_prd
& op1(e10,e10) = e11 )
| sP172_prd ) ),
inference(formula_renaming,[status(thm)],[f1635,f1637,f1636]) ).
fof(f1639,plain,
( ( ( ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ~ sP174_prd
| ~ sP173_prd
| op1(e10,e10) != e11 )
& ~ sP172_prd )
| sP160_prd )
& ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP174_prd
& sP173_prd
& op1(e10,e10) = e11 )
| sP172_prd
| ~ sP160_prd ) ),
inference(NNF_transformation,[status(thm)],[f1638]) ).
fof(f1640,plain,
( op1(e10,e10) = e11
| sP172_prd
| ~ sP160_prd ),
inference(cnf_transformation,[status(thm)],[f1639]) ).
fof(f1643,plain,
( op1(e12,e11) = e12
| op1(e12,e12) != e11
| sP172_prd
| ~ sP160_prd ),
inference(cnf_transformation,[status(thm)],[f1639]) ).
fof(f1645,plain,
( ~ sP172_prd
| sP160_prd ),
inference(cnf_transformation,[status(thm)],[f1639]) ).
fof(f1650,plain,
( ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| sP161_prd )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12
| ~ sP161_prd ) ),
inference(NNF_transformation,[status(thm)],[f1538]) ).
fof(f1651,plain,
( op1(e10,e12) = e10
| op1(e10,e10) != e12
| ~ sP161_prd ),
inference(cnf_transformation,[status(thm)],[f1650]) ).
fof(f1652,plain,
( op1(e10,e10) = e12
| sP161_prd ),
inference(cnf_transformation,[status(thm)],[f1650]) ).
fof(f1653,plain,
( op1(e10,e12) != e10
| sP161_prd ),
inference(cnf_transformation,[status(thm)],[f1650]) ).
fof(f1654,plain,
( ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| sP162_prd )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12
| ~ sP162_prd ) ),
inference(NNF_transformation,[status(thm)],[f1539]) ).
fof(f1656,plain,
( op1(e11,e11) = e12
| sP162_prd ),
inference(cnf_transformation,[status(thm)],[f1654]) ).
fof(f1658,definition,
( sP175_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,[sP175_prd])],[]) ).
fof(f1659,plain,
( sP163_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 )
| sP175_prd ) ),
inference(formula_renaming,[status(thm)],[f1560,f1658]) ).
fof(f1660,definition,
( sP176_prd
<=> ( op1(e11,e11) != e10
| op1(e11,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP176_prd])],[]) ).
fof(f1661,definition,
( sP177_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP177_prd])],[]) ).
fof(f1662,plain,
( sP163_prd
<=> ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP177_prd
& sP176_prd
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| sP175_prd ) ),
inference(formula_renaming,[status(thm)],[f1659,f1661,f1660]) ).
fof(f1663,plain,
( ( ( ( ( op1(e11,e11) = e13
& op1(e11,e13) = e11 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11 )
| ~ sP177_prd
| ~ sP176_prd
| op1(e11,e10) != e10
| op1(e10,e11) != e10 )
& ~ sP175_prd )
| sP163_prd )
& ( ( ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& sP177_prd
& sP176_prd
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| sP175_prd
| ~ sP163_prd ) ),
inference(NNF_transformation,[status(thm)],[f1662]) ).
fof(f1665,plain,
( op1(e11,e10) = e10
| sP175_prd
| ~ sP163_prd ),
inference(cnf_transformation,[status(thm)],[f1663]) ).
fof(f1670,plain,
( ~ sP175_prd
| sP163_prd ),
inference(cnf_transformation,[status(thm)],[f1663]) ).
fof(f1675,plain,
( ( ( op1(e12,e12) = e10
& op1(e12,e10) = e12 )
| sP164_prd )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12
| ~ sP164_prd ) ),
inference(NNF_transformation,[status(thm)],[f1562]) ).
fof(f1678,plain,
( op1(e12,e12) = e10
| sP164_prd ),
inference(cnf_transformation,[status(thm)],[f1675]) ).
fof(f1679,plain,
( ( ( op1(e12,e12) = e11
& op1(e12,e11) = e12 )
| sP165_prd )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12
| ~ sP165_prd ) ),
inference(NNF_transformation,[status(thm)],[f1563]) ).
fof(f1681,plain,
( op1(e12,e11) = e12
| sP165_prd ),
inference(cnf_transformation,[status(thm)],[f1679]) ).
fof(f1683,definition,
( sP178_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,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP178_prd])],[]) ).
fof(f1684,plain,
( sP166_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(e20,e20) = e21 )
| sP178_prd ) ),
inference(formula_renaming,[status(thm)],[f1585,f1683]) ).
fof(f1685,definition,
( sP179_prd
<=> ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP179_prd])],[]) ).
fof(f1686,definition,
( sP180_prd
<=> ( op2(e21,e21) = e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP180_prd])],[]) ).
fof(f1687,plain,
( sP166_prd
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP180_prd
& sP179_prd
& op2(e20,e20) = e21 )
| sP178_prd ) ),
inference(formula_renaming,[status(thm)],[f1684,f1686,f1685]) ).
fof(f1688,plain,
( ( ( ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ~ sP180_prd
| ~ sP179_prd
| op2(e20,e20) != e21 )
& ~ sP178_prd )
| sP166_prd )
& ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP180_prd
& sP179_prd
& op2(e20,e20) = e21 )
| sP178_prd
| ~ sP166_prd ) ),
inference(NNF_transformation,[status(thm)],[f1687]) ).
fof(f1689,plain,
( op2(e20,e20) = e21
| sP178_prd
| ~ sP166_prd ),
inference(cnf_transformation,[status(thm)],[f1688]) ).
fof(f1690,plain,
( sP179_prd
| sP178_prd
| ~ sP166_prd ),
inference(cnf_transformation,[status(thm)],[f1688]) ).
fof(f1692,plain,
( op2(e22,e21) = e22
| op2(e22,e22) != e21
| sP178_prd
| ~ sP166_prd ),
inference(cnf_transformation,[status(thm)],[f1688]) ).
fof(f1694,plain,
( ~ sP178_prd
| sP166_prd ),
inference(cnf_transformation,[status(thm)],[f1688]) ).
fof(f1699,plain,
( ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| sP167_prd )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22
| ~ sP167_prd ) ),
inference(NNF_transformation,[status(thm)],[f1587]) ).
fof(f1700,plain,
( op2(e20,e22) = e20
| op2(e20,e20) != e22
| ~ sP167_prd ),
inference(cnf_transformation,[status(thm)],[f1699]) ).
fof(f1701,plain,
( op2(e20,e20) = e22
| sP167_prd ),
inference(cnf_transformation,[status(thm)],[f1699]) ).
fof(f1702,plain,
( op2(e20,e22) != e20
| sP167_prd ),
inference(cnf_transformation,[status(thm)],[f1699]) ).
fof(f1703,plain,
( ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| sP168_prd )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22
| ~ sP168_prd ) ),
inference(NNF_transformation,[status(thm)],[f1588]) ).
fof(f1705,plain,
( op2(e21,e21) = e22
| sP168_prd ),
inference(cnf_transformation,[status(thm)],[f1703]) ).
fof(f1707,definition,
( sP181_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,[sP181_prd])],[]) ).
fof(f1708,plain,
( sP169_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 )
| sP181_prd ) ),
inference(formula_renaming,[status(thm)],[f1609,f1707]) ).
fof(f1709,definition,
( sP182_prd
<=> ( op2(e21,e21) != e20
| op2(e21,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP182_prd])],[]) ).
fof(f1710,definition,
( sP183_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP183_prd])],[]) ).
fof(f1711,plain,
( sP169_prd
<=> ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP183_prd
& sP182_prd
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| sP181_prd ) ),
inference(formula_renaming,[status(thm)],[f1708,f1710,f1709]) ).
fof(f1712,plain,
( ( ( ( ( op2(e21,e21) = e23
& op2(e21,e23) = e21 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21 )
| ~ sP183_prd
| ~ sP182_prd
| op2(e21,e20) != e20
| op2(e20,e21) != e20 )
& ~ sP181_prd )
| sP169_prd )
& ( ( ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& sP183_prd
& sP182_prd
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| sP181_prd
| ~ sP169_prd ) ),
inference(NNF_transformation,[status(thm)],[f1711]) ).
fof(f1713,plain,
( op2(e20,e21) = e20
| sP181_prd
| ~ sP169_prd ),
inference(cnf_transformation,[status(thm)],[f1712]) ).
fof(f1724,plain,
( ( ( op2(e22,e22) = e20
& op2(e22,e20) = e22 )
| sP170_prd )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22
| ~ sP170_prd ) ),
inference(NNF_transformation,[status(thm)],[f1611]) ).
fof(f1727,plain,
( op2(e22,e22) = e20
| sP170_prd ),
inference(cnf_transformation,[status(thm)],[f1724]) ).
fof(f1728,plain,
( ( ( op2(e22,e22) = e21
& op2(e22,e21) = e22 )
| sP171_prd )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22
| ~ sP171_prd ) ),
inference(NNF_transformation,[status(thm)],[f1612]) ).
fof(f1730,plain,
( op2(e22,e21) = e22
| sP171_prd ),
inference(cnf_transformation,[status(thm)],[f1728]) ).
fof(f1732,definition,
( sP184_prd
<=> ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP184_prd])],[]) ).
fof(f1733,definition,
( sP185_prd
<=> ( op1(e11,e10) = e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP185_prd])],[]) ).
fof(f1734,plain,
( sP172_prd
<=> ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP185_prd
& sP184_prd
& op1(e10,e10) = e10 ) ),
inference(formula_renaming,[status(thm)],[f1634,f1733,f1732]) ).
fof(f1735,plain,
( ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ~ sP185_prd
| ~ sP184_prd
| op1(e10,e10) != e10
| sP172_prd )
& ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP185_prd
& sP184_prd
& op1(e10,e10) = e10 )
| ~ sP172_prd ) ),
inference(NNF_transformation,[status(thm)],[f1734]) ).
fof(f1736,plain,
( op1(e10,e10) = e10
| ~ sP172_prd ),
inference(cnf_transformation,[status(thm)],[f1735]) ).
fof(f1738,plain,
( sP185_prd
| ~ sP172_prd ),
inference(cnf_transformation,[status(thm)],[f1735]) ).
fof(f1740,plain,
( op1(e13,e10) = e13
| op1(e13,e13) != e10
| ~ sP172_prd ),
inference(cnf_transformation,[status(thm)],[f1735]) ).
fof(f1741,plain,
( op1(e13,e13) = e10
| op1(e12,e12) = e10
| ~ sP185_prd
| ~ sP184_prd
| op1(e10,e10) != e10
| sP172_prd ),
inference(cnf_transformation,[status(thm)],[f1735]) ).
fof(f1745,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| sP173_prd )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11
| ~ sP173_prd ) ),
inference(NNF_transformation,[status(thm)],[f1636]) ).
fof(f1747,plain,
( op1(e10,e10) = e11
| sP173_prd ),
inference(cnf_transformation,[status(thm)],[f1745]) ).
fof(f1749,plain,
( ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP174_prd )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11
| ~ sP174_prd ) ),
inference(NNF_transformation,[status(thm)],[f1637]) ).
fof(f1751,plain,
( op1(e11,e11) = e11
| sP174_prd ),
inference(cnf_transformation,[status(thm)],[f1749]) ).
fof(f1753,definition,
( sP186_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP186_prd])],[]) ).
fof(f1754,definition,
( sP187_prd
<=> ( op1(e10,e10) != e11
| op1(e10,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP187_prd])],[]) ).
fof(f1755,plain,
( sP175_prd
<=> ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP187_prd
& sP186_prd
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ),
inference(formula_renaming,[status(thm)],[f1658,f1754,f1753]) ).
fof(f1756,plain,
( ( ( op1(e10,e10) = e13
& op1(e10,e13) = e10 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10 )
| ~ sP187_prd
| ~ sP186_prd
| op1(e10,e10) != e10
| op1(e10,e10) != e10
| sP175_prd )
& ( ( ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& sP187_prd
& sP186_prd
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ~ sP175_prd ) ),
inference(NNF_transformation,[status(thm)],[f1755]) ).
fof(f1757,plain,
( op1(e10,e10) = e10
| ~ sP175_prd ),
inference(cnf_transformation,[status(thm)],[f1756]) ).
fof(f1759,plain,
( sP186_prd
| ~ sP175_prd ),
inference(cnf_transformation,[status(thm)],[f1756]) ).
fof(f1762,plain,
( op1(e10,e10) != e13
| op1(e10,e13) != e10
| ~ sP175_prd ),
inference(cnf_transformation,[status(thm)],[f1756]) ).
fof(f1767,plain,
( ( ( op1(e11,e11) = e10
& op1(e11,e10) = e11 )
| sP176_prd )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP176_prd ) ),
inference(NNF_transformation,[status(thm)],[f1660]) ).
fof(f1768,plain,
( op1(e11,e11) != e10
| op1(e11,e10) != e11
| ~ sP176_prd ),
inference(cnf_transformation,[status(thm)],[f1767]) ).
fof(f1769,plain,
( op1(e11,e10) = e11
| sP176_prd ),
inference(cnf_transformation,[status(thm)],[f1767]) ).
fof(f1771,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP177_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP177_prd ) ),
inference(NNF_transformation,[status(thm)],[f1661]) ).
fof(f1773,plain,
( op1(e11,e11) = e11
| sP177_prd ),
inference(cnf_transformation,[status(thm)],[f1771]) ).
fof(f1775,definition,
( sP188_prd
<=> ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP188_prd])],[]) ).
fof(f1776,definition,
( sP189_prd
<=> ( op2(e21,e20) = e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP189_prd])],[]) ).
fof(f1777,plain,
( sP178_prd
<=> ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP189_prd
& sP188_prd
& op2(e20,e20) = e20 ) ),
inference(formula_renaming,[status(thm)],[f1683,f1776,f1775]) ).
fof(f1778,plain,
( ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ~ sP189_prd
| ~ sP188_prd
| op2(e20,e20) != e20
| sP178_prd )
& ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP189_prd
& sP188_prd
& op2(e20,e20) = e20 )
| ~ sP178_prd ) ),
inference(NNF_transformation,[status(thm)],[f1777]) ).
fof(f1779,plain,
( op2(e20,e20) = e20
| ~ sP178_prd ),
inference(cnf_transformation,[status(thm)],[f1778]) ).
fof(f1781,plain,
( sP189_prd
| ~ sP178_prd ),
inference(cnf_transformation,[status(thm)],[f1778]) ).
fof(f1783,plain,
( op2(e23,e20) = e23
| op2(e23,e23) != e20
| ~ sP178_prd ),
inference(cnf_transformation,[status(thm)],[f1778]) ).
fof(f1784,plain,
( op2(e23,e23) = e20
| op2(e22,e22) = e20
| ~ sP189_prd
| ~ sP188_prd
| op2(e20,e20) != e20
| sP178_prd ),
inference(cnf_transformation,[status(thm)],[f1778]) ).
fof(f1785,plain,
( op2(e23,e20) != e23
| op2(e22,e22) = e20
| ~ sP189_prd
| ~ sP188_prd
| op2(e20,e20) != e20
| sP178_prd ),
inference(cnf_transformation,[status(thm)],[f1778]) ).
fof(f1788,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| sP179_prd )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP179_prd ) ),
inference(NNF_transformation,[status(thm)],[f1685]) ).
fof(f1789,plain,
( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP179_prd ),
inference(cnf_transformation,[status(thm)],[f1788]) ).
fof(f1790,plain,
( op2(e20,e20) = e21
| sP179_prd ),
inference(cnf_transformation,[status(thm)],[f1788]) ).
fof(f1792,plain,
( ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP180_prd )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21
| ~ sP180_prd ) ),
inference(NNF_transformation,[status(thm)],[f1686]) ).
fof(f1794,plain,
( op2(e21,e21) = e21
| sP180_prd ),
inference(cnf_transformation,[status(thm)],[f1792]) ).
fof(f1796,definition,
( sP190_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP190_prd])],[]) ).
fof(f1797,definition,
( sP191_prd
<=> ( op2(e20,e20) != e21
| op2(e20,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP191_prd])],[]) ).
fof(f1798,plain,
( sP181_prd
<=> ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP191_prd
& sP190_prd
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ),
inference(formula_renaming,[status(thm)],[f1707,f1797,f1796]) ).
fof(f1799,plain,
( ( ( op2(e20,e20) = e23
& op2(e20,e23) = e20 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20 )
| ~ sP191_prd
| ~ sP190_prd
| op2(e20,e20) != e20
| op2(e20,e20) != e20
| sP181_prd )
& ( ( ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& sP191_prd
& sP190_prd
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ~ sP181_prd ) ),
inference(NNF_transformation,[status(thm)],[f1798]) ).
fof(f1800,plain,
( op2(e20,e20) = e20
| ~ sP181_prd ),
inference(cnf_transformation,[status(thm)],[f1799]) ).
fof(f1802,plain,
( sP190_prd
| ~ sP181_prd ),
inference(cnf_transformation,[status(thm)],[f1799]) ).
fof(f1804,plain,
( op2(e20,e20) != e22
| op2(e20,e22) != e20
| ~ sP181_prd ),
inference(cnf_transformation,[status(thm)],[f1799]) ).
fof(f1805,plain,
( op2(e20,e20) != e23
| op2(e20,e23) != e20
| ~ sP181_prd ),
inference(cnf_transformation,[status(thm)],[f1799]) ).
fof(f1810,plain,
( ( ( op2(e21,e21) = e20
& op2(e21,e20) = e21 )
| sP182_prd )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP182_prd ) ),
inference(NNF_transformation,[status(thm)],[f1709]) ).
fof(f1811,plain,
( op2(e21,e21) != e20
| op2(e21,e20) != e21
| ~ sP182_prd ),
inference(cnf_transformation,[status(thm)],[f1810]) ).
fof(f1812,plain,
( op2(e21,e20) = e21
| sP182_prd ),
inference(cnf_transformation,[status(thm)],[f1810]) ).
fof(f1814,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP183_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP183_prd ) ),
inference(NNF_transformation,[status(thm)],[f1710]) ).
fof(f1816,plain,
( op2(e21,e21) = e21
| sP183_prd ),
inference(cnf_transformation,[status(thm)],[f1814]) ).
fof(f1818,plain,
( ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP184_prd )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10
| ~ sP184_prd ) ),
inference(NNF_transformation,[status(thm)],[f1732]) ).
fof(f1820,plain,
( op1(e10,e10) = e10
| sP184_prd ),
inference(cnf_transformation,[status(thm)],[f1818]) ).
fof(f1821,plain,
( op1(e10,e10) != e10
| sP184_prd ),
inference(cnf_transformation,[status(thm)],[f1818]) ).
fof(f1822,plain,
( ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| sP185_prd )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP185_prd ) ),
inference(NNF_transformation,[status(thm)],[f1733]) ).
fof(f1823,plain,
( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP185_prd ),
inference(cnf_transformation,[status(thm)],[f1822]) ).
fof(f1825,plain,
( op1(e11,e10) != e11
| sP185_prd ),
inference(cnf_transformation,[status(thm)],[f1822]) ).
fof(f1826,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP186_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP186_prd ) ),
inference(NNF_transformation,[status(thm)],[f1753]) ).
fof(f1827,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP186_prd ),
inference(cnf_transformation,[status(thm)],[f1826]) ).
fof(f1828,plain,
( op1(e10,e10) = e10
| sP186_prd ),
inference(cnf_transformation,[status(thm)],[f1826]) ).
fof(f1830,plain,
( ( ( op1(e10,e10) = e11
& op1(e10,e11) = e10 )
| sP187_prd )
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10
| ~ sP187_prd ) ),
inference(NNF_transformation,[status(thm)],[f1754]) ).
fof(f1832,plain,
( op1(e10,e11) = e10
| sP187_prd ),
inference(cnf_transformation,[status(thm)],[f1830]) ).
fof(f1833,plain,
( op1(e10,e10) = e11
| sP187_prd ),
inference(cnf_transformation,[status(thm)],[f1830]) ).
fof(f1834,plain,
( ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP188_prd )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20
| ~ sP188_prd ) ),
inference(NNF_transformation,[status(thm)],[f1775]) ).
fof(f1836,plain,
( op2(e20,e20) = e20
| sP188_prd ),
inference(cnf_transformation,[status(thm)],[f1834]) ).
fof(f1837,plain,
( op2(e20,e20) != e20
| sP188_prd ),
inference(cnf_transformation,[status(thm)],[f1834]) ).
fof(f1838,plain,
( ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| sP189_prd )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP189_prd ) ),
inference(NNF_transformation,[status(thm)],[f1776]) ).
fof(f1839,plain,
( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP189_prd ),
inference(cnf_transformation,[status(thm)],[f1838]) ).
fof(f1841,plain,
( op2(e21,e20) != e21
| sP189_prd ),
inference(cnf_transformation,[status(thm)],[f1838]) ).
fof(f1842,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP190_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP190_prd ) ),
inference(NNF_transformation,[status(thm)],[f1796]) ).
fof(f1843,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP190_prd ),
inference(cnf_transformation,[status(thm)],[f1842]) ).
fof(f1844,plain,
( op2(e20,e20) = e20
| sP190_prd ),
inference(cnf_transformation,[status(thm)],[f1842]) ).
fof(f1846,plain,
( ( ( op2(e20,e20) = e21
& op2(e20,e21) = e20 )
| sP191_prd )
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20
| ~ sP191_prd ) ),
inference(NNF_transformation,[status(thm)],[f1797]) ).
fof(f1848,plain,
( op2(e20,e21) = e20
| sP191_prd ),
inference(cnf_transformation,[status(thm)],[f1846]) ).
fof(f1850,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1851,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f1850]) ).
fof(f1853,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1854,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f1853]) ).
fof(f1856,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1857,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f1856]) ).
fof(f1859,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1860,plain,
( ~ sQ3_spl
| op1(e10,e10) = e13 ),
inference(component_clause,[status(thm)],[f1859]) ).
fof(f1862,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f1850,f1853,f1856,f1859]) ).
fof(f1863,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1866,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1867,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f1866]) ).
fof(f1869,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1870,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f1869]) ).
fof(f1872,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1873,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f1872]) ).
fof(f1876,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1877,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f1876]) ).
fof(f1879,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1880,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f1879]) ).
fof(f1882,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1883,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f1882]) ).
fof(f1885,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1886,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f1885]) ).
fof(f1888,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f22,f1876,f1879,f1882,f1885]) ).
fof(f1889,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1890,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f1889]) ).
fof(f1892,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1893,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f1892]) ).
fof(f1895,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1896,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f1895]) ).
fof(f1898,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1899,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f1898]) ).
fof(f1901,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f23,f1889,f1892,f1895,f1898]) ).
fof(f1902,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1903,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f1902]) ).
fof(f1905,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1906,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f1905]) ).
fof(f1908,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1909,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f1908]) ).
fof(f1911,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1912,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f1911]) ).
fof(f1914,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f24,f1902,f1905,f1908,f1911]) ).
fof(f1915,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1918,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1919,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f1918]) ).
fof(f1921,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1922,plain,
( ~ sQ22_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f1921]) ).
fof(f1924,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1925,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f1924]) ).
fof(f1927,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f25,f1915,f1918,f1921,f1924]) ).
fof(f1928,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1929,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f1928]) ).
fof(f1931,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1932,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f1931]) ).
fof(f1934,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1935,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f1934]) ).
fof(f1937,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1938,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f1937]) ).
fof(f1940,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f26,f1928,f1931,f1934,f1937]) ).
fof(f1941,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1942,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f1941]) ).
fof(f1944,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f1944]) ).
fof(f1947,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1948,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f1947]) ).
fof(f1950,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1951,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f1950]) ).
fof(f1953,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f27,f1941,f1944,f1947,f1950]) ).
fof(f1954,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1955,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f1954]) ).
fof(f1957,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1958,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f1957]) ).
fof(f1960,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1961,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f1960]) ).
fof(f1963,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1964,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f1963]) ).
fof(f1966,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f28,f1954,f1957,f1960,f1963]) ).
fof(f1967,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1968,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f1967]) ).
fof(f1970,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1971,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f1970]) ).
fof(f1973,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1974,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f1973]) ).
fof(f1976,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1980,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1981,plain,
( ~ sQ40_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f1980]) ).
fof(f1983,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1986,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1987,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f1986]) ).
fof(f1989,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1990,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f1989]) ).
fof(f1992,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f30,f1980,f1983,f1986,f1989]) ).
fof(f1993,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1994,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f1993]) ).
fof(f1996,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1997,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f1996]) ).
fof(f1999,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f2000,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f1999]) ).
fof(f2002,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f2003,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f2002]) ).
fof(f2005,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f31,f1993,f1996,f1999,f2002]) ).
fof(f2006,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f2007,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f2006]) ).
fof(f2009,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f2010,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f2009]) ).
fof(f2012,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f2013,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f2012]) ).
fof(f2015,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f2016,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f2015]) ).
fof(f2018,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f32,f2006,f2009,f2012,f2015]) ).
fof(f2019,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f2020,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f2019]) ).
fof(f2022,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f2023,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f2022]) ).
fof(f2025,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f2026,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f2025]) ).
fof(f2028,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f2029,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f2028]) ).
fof(f2032,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f2033,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f2032]) ).
fof(f2035,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f2036,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f2035]) ).
fof(f2038,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f2039,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f2038]) ).
fof(f2041,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f2042,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f2041]) ).
fof(f2044,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f34,f2032,f2035,f2038,f2041]) ).
fof(f2045,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f2046,plain,
( ~ sQ60_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f2045]) ).
fof(f2048,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f2049,plain,
( ~ sQ61_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f2048]) ).
fof(f2051,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f2052,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f2051]) ).
fof(f2054,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f2055,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f2054]) ).
fof(f2057,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f35,f2045,f2048,f2051,f2054]) ).
fof(f2059,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f1850,f1902,f1954,f2006]) ).
fof(f2060,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f38,f1853,f1866,f1879,f1892]) ).
fof(f2061,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f39,f1853,f1905,f1957,f2009]) ).
fof(f2062,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f1856,f1869,f1882,f1895]) ).
fof(f2063,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f1856,f1908,f1960,f2012]) ).
fof(f2064,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f42,f1859,f1872,f1885,f1898]) ).
fof(f2065,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f43,f1859,f1911,f1963,f2015]) ).
fof(f2068,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f1905,f1918,f1931,f1944]) ).
fof(f2069,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f1866,f1918,f1970,f2022]) ).
fof(f2070,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f48,f1908,f1921,f1934,f1947]) ).
fof(f2071,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f49,f1869,f1921,f1973,f2025]) ).
fof(f2074,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f52,f1954,f1967,f1980,f1993]) ).
fof(f2075,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f1876,f1928,f1980,f2032]) ).
fof(f2078,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f56,f1960,f1973,f1986,f1999]) ).
fof(f2079,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f1882,f1934,f1986,f2038]) ).
fof(f2080,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f58,f1963,f1976,f1989,f2002]) ).
fof(f2081,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f1885,f1937,f1989,f2041]) ).
fof(f2082,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f60,f2006,f2019,f2032,f2045]) ).
fof(f2083,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f61,f1889,f1941,f1993,f2045]) ).
fof(f2084,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f62,f2009,f2022,f2035,f2048]) ).
fof(f2085,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f63,f1892,f1944,f1996,f2048]) ).
fof(f2087,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f65,f1895,f1947,f1999,f2051]) ).
fof(f2088,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f66,f2015,f2028,f2041,f2054]) ).
fof(f2089,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f1898,f1950,f2002,f2054]) ).
fof(f2090,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f2091,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f2090]) ).
fof(f2093,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f2094,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f2093]) ).
fof(f2096,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f2097,plain,
( ~ sQ66_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f2096]) ).
fof(f2098,plain,
( sQ66_spl
| op2(e20,e20) != e22 ),
inference(component_clause,[status(thm)],[f2096]) ).
fof(f2099,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f2100,plain,
( ~ sQ67_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f2099]) ).
fof(f2102,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f68,f2090,f2093,f2096,f2099]) ).
fof(f2103,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f2106,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f2107,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f2106]) ).
fof(f2109,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f2110,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f2109]) ).
fof(f2112,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f2113,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f2112]) ).
fof(f2115,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f69,f2103,f2106,f2109,f2112]) ).
fof(f2116,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f2117,plain,
( ~ sQ72_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f2116]) ).
fof(f2119,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f2120,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f2119]) ).
fof(f2122,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f2123,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f2122]) ).
fof(f2125,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f2126,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f2125]) ).
fof(f2129,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f2130,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f2129]) ).
fof(f2132,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f2133,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f2132]) ).
fof(f2135,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f2136,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f2135]) ).
fof(f2138,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f2139,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f2138]) ).
fof(f2141,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f71,f2129,f2132,f2135,f2138]) ).
fof(f2142,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f2143,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f2142]) ).
fof(f2145,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f2146,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f2145]) ).
fof(f2148,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f2149,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f2148]) ).
fof(f2151,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f2152,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f2151]) ).
fof(f2154,plain,
( sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f72,f2142,f2145,f2148,f2151]) ).
fof(f2155,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f2158,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f2159,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f2158]) ).
fof(f2160,plain,
( sQ85_spl
| op2(e21,e21) != e21 ),
inference(component_clause,[status(thm)],[f2158]) ).
fof(f2161,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f2162,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f2161]) ).
fof(f2164,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f2165,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f2164]) ).
fof(f2168,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f2171,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f2172,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f2171]) ).
fof(f2174,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f2175,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f2174]) ).
fof(f2177,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f2178,plain,
( ~ sQ91_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f2177]) ).
fof(f2180,plain,
( sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f74,f2168,f2171,f2174,f2177]) ).
fof(f2181,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f2182,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f2181]) ).
fof(f2184,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f2185,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f2184]) ).
fof(f2187,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f2188,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f2187]) ).
fof(f2190,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f2191,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f2190]) ).
fof(f2193,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f75,f2181,f2184,f2187,f2190]) ).
fof(f2194,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f2195,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f2194]) ).
fof(f2197,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f2198,plain,
( ~ sQ97_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f2197]) ).
fof(f2200,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f2201,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f2200]) ).
fof(f2203,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f2206,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f76,f2194,f2197,f2200,f2203]) ).
fof(f2207,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f2208,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f2207]) ).
fof(f2210,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f2211,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f2210]) ).
fof(f2213,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f2214,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f2213]) ).
fof(f2216,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f2219,plain,
( sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f77,f2207,f2210,f2213,f2216]) ).
fof(f2220,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f2221,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f2220]) ).
fof(f2223,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f2226,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f2227,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f2226]) ).
fof(f2229,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f2230,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f2229]) ).
fof(f2232,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f78,f2220,f2223,f2226,f2229]) ).
fof(f2233,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f2234,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f2233]) ).
fof(f2236,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f2237,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f2236]) ).
fof(f2239,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f2240,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f2239]) ).
fof(f2242,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f2243,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f2242]) ).
fof(f2245,plain,
( sQ111_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f79,f2233,f2236,f2239,f2242]) ).
fof(f2246,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f2247,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f2246]) ).
fof(f2249,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f2250,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f2249]) ).
fof(f2252,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f2253,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f2252]) ).
fof(f2255,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f2256,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f2255]) ).
fof(f2258,plain,
( sQ115_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f80,f2246,f2249,f2252,f2255]) ).
fof(f2259,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f2262,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f2263,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f2262]) ).
fof(f2265,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f2266,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f2265]) ).
fof(f2268,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f2269,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f2268]) ).
fof(f2271,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f81,f2259,f2262,f2265,f2268]) ).
fof(f2272,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f2273,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f2272]) ).
fof(f2275,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f2276,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f2275]) ).
fof(f2278,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f2279,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f2278]) ).
fof(f2281,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f2282,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f2281]) ).
fof(f2284,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f82,f2272,f2275,f2278,f2281]) ).
fof(f2285,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f2286,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f2285]) ).
fof(f2288,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f2289,plain,
( ~ sQ125_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f2288]) ).
fof(f2291,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f2292,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f2291]) ).
fof(f2294,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f2295,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f2294]) ).
fof(f2296,plain,
( sQ127_spl
| op2(e23,e23) != e23 ),
inference(component_clause,[status(thm)],[f2294]) ).
fof(f2297,plain,
( sQ127_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f83,f2285,f2288,f2291,f2294]) ).
fof(f2298,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f2090,f2103,f2116,f2129]) ).
fof(f2299,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f2090,f2142,f2194,f2246]) ).
fof(f2301,plain,
( sQ113_spl
| sQ97_spl
| sQ81_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f87,f2093,f2145,f2197,f2249]) ).
fof(f2303,plain,
( sQ114_spl
| sQ98_spl
| sQ82_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f89,f2096,f2148,f2200,f2252]) ).
fof(f2304,plain,
( sQ79_spl
| sQ75_spl
| sQ71_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f90,f2099,f2112,f2125,f2138]) ).
fof(f2307,plain,
( sQ116_spl
| sQ100_spl
| sQ84_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f93,f2103,f2155,f2207,f2259]) ).
fof(f2308,plain,
( sQ93_spl
| sQ89_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f94,f2145,f2158,f2171,f2184]) ).
fof(f2309,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f95,f2106,f2158,f2210,f2262]) ).
fof(f2310,plain,
( sQ94_spl
| sQ90_spl
| sQ86_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f96,f2148,f2161,f2174,f2187]) ).
fof(f2311,plain,
( sQ118_spl
| sQ102_spl
| sQ86_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f97,f2109,f2161,f2213,f2265]) ).
fof(f2312,plain,
( sQ95_spl
| sQ91_spl
| sQ87_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f98,f2151,f2164,f2177,f2190]) ).
fof(f2314,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f2194,f2207,f2220,f2233]) ).
fof(f2315,plain,
( sQ120_spl
| sQ104_spl
| sQ88_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f101,f2116,f2168,f2220,f2272]) ).
fof(f2318,plain,
( sQ110_spl
| sQ106_spl
| sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f104,f2200,f2213,f2226,f2239]) ).
fof(f2319,plain,
( sQ122_spl
| sQ106_spl
| sQ90_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f105,f2122,f2174,f2226,f2278]) ).
fof(f2321,plain,
( sQ123_spl
| sQ107_spl
| sQ91_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f107,f2125,f2177,f2229,f2281]) ).
fof(f2322,plain,
( sQ124_spl
| sQ120_spl
| sQ116_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f108,f2246,f2259,f2272,f2285]) ).
fof(f2323,plain,
( sQ124_spl
| sQ108_spl
| sQ92_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f109,f2129,f2181,f2233,f2285]) ).
fof(f2324,plain,
( sQ125_spl
| sQ121_spl
| sQ117_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f110,f2249,f2262,f2275,f2288]) ).
fof(f2325,plain,
( sQ125_spl
| sQ109_spl
| sQ93_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f111,f2132,f2184,f2236,f2288]) ).
fof(f2327,plain,
( sQ126_spl
| sQ110_spl
| sQ94_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f113,f2135,f2187,f2239,f2291]) ).
fof(f2328,plain,
( sQ127_spl
| sQ123_spl
| sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f114,f2255,f2268,f2281,f2294]) ).
fof(f2330,definition,
( sQ128_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f2333,plain,
( sQ63_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f243,f2330,f2054]) ).
fof(f2334,plain,
( sQ12_spl
| ~ sQ3_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f244,f2330,f1859,f1889]) ).
fof(f2338,definition,
( sQ129_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f2341,plain,
( sQ63_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f248,f2338,f2054]) ).
fof(f2345,plain,
( ~ sQ62_spl
| ~ sQ59_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f252,f2338,f2041,f2051]) ).
fof(f2346,plain,
( ~ sQ63_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f253,f2338,f2054]) ).
fof(f2347,definition,
( sQ130_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f2350,plain,
( sQ127_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f257,f2347,f2294]) ).
fof(f2351,plain,
( sQ76_spl
| ~ sQ67_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f258,f2347,f2099,f2129]) ).
fof(f2355,definition,
( sQ131_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f2358,plain,
( sQ127_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f262,f2355,f2294]) ).
fof(f2362,plain,
( ~ sQ126_spl
| ~ sQ123_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f266,f2355,f2281,f2291]) ).
fof(f2363,plain,
( ~ sQ127_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f267,f2355,f2294]) ).
fof(f2364,definition,
( sQ132_spl
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f2366,plain,
( sQ132_spl
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f2364]) ).
fof(f2367,definition,
( sQ133_spl
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f2369,plain,
( sQ133_spl
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(component_clause,[status(thm)],[f2367]) ).
fof(f2370,definition,
( sQ134_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f2372,plain,
( sQ134_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f2370]) ).
fof(f2373,definition,
( sQ135_spl
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f2375,plain,
( sQ135_spl
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f2373]) ).
fof(f2376,definition,
( sQ136_spl
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f2377,plain,
( ~ sQ136_spl
| h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f2376]) ).
fof(f2378,plain,
( sQ136_spl
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f2376]) ).
fof(f2379,definition,
( sQ137_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f2381,plain,
( sQ137_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f2379]) ).
fof(f2382,definition,
( sQ138_spl
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f2383,plain,
( ~ sQ138_spl
| h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
inference(component_clause,[status(thm)],[f2382]) ).
fof(f2384,plain,
( sQ138_spl
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12)) ),
inference(component_clause,[status(thm)],[f2382]) ).
fof(f2385,definition,
( sQ139_spl
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f2387,plain,
( sQ139_spl
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13)) ),
inference(component_clause,[status(thm)],[f2385]) ).
fof(f2388,definition,
( sQ140_spl
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f2390,plain,
( sQ140_spl
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f2388]) ).
fof(f2391,definition,
( sQ141_spl
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f2392,plain,
( ~ sQ141_spl
| h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
inference(component_clause,[status(thm)],[f2391]) ).
fof(f2393,plain,
( sQ141_spl
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11)) ),
inference(component_clause,[status(thm)],[f2391]) ).
fof(f2394,definition,
( sQ142_spl
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f2395,plain,
( ~ sQ142_spl
| h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f2394]) ).
fof(f2396,plain,
( sQ142_spl
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f2394]) ).
fof(f2397,definition,
( sQ143_spl
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f2399,plain,
( sQ143_spl
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f2397]) ).
fof(f2400,definition,
( sQ144_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f2402,plain,
( sQ144_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f2400]) ).
fof(f2403,definition,
( sQ145_spl
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f2405,plain,
( sQ145_spl
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f2403]) ).
fof(f2406,definition,
( sQ146_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f2408,plain,
( sQ146_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f2406]) ).
fof(f2409,definition,
( sQ147_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f2411,plain,
( sQ147_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f2409]) ).
fof(f2412,definition,
( sQ148_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f2415,definition,
( sQ149_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f2418,definition,
( sQ150_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f2425,definition,
( sQ152_spl
<=> h1(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f2427,plain,
( sQ152_spl
| h1(e11) != e23 ),
inference(component_clause,[status(thm)],[f2425]) ).
fof(f2428,plain,
( ~ sQ152_spl
| sQ150_spl
| sQ149_spl
| sQ148_spl
| ~ sQ147_spl
| ~ sQ146_spl
| ~ sQ145_spl
| ~ sQ144_spl
| ~ sQ143_spl
| ~ sQ142_spl
| ~ sQ141_spl
| ~ sQ140_spl
| ~ sQ139_spl
| ~ sQ138_spl
| ~ sQ137_spl
| ~ sQ136_spl
| ~ sQ135_spl
| ~ sQ134_spl
| ~ sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f305,f2364,f2367,f2370,f2373,f2376,f2379,f2382,f2385,f2388,f2391,f2394,f2397,f2400,f2403,f2406,f2409,f2412,f2415,f2418,f2425]) ).
fof(f2433,definition,
( sQ154_spl
<=> h1(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f2435,plain,
( sQ154_spl
| h1(e13) != e23 ),
inference(component_clause,[status(thm)],[f2433]) ).
fof(f2436,plain,
( ~ sQ154_spl
| sQ150_spl
| sQ149_spl
| sQ148_spl
| ~ sQ147_spl
| ~ sQ146_spl
| ~ sQ145_spl
| ~ sQ144_spl
| ~ sQ143_spl
| ~ sQ142_spl
| ~ sQ141_spl
| ~ sQ140_spl
| ~ sQ139_spl
| ~ sQ138_spl
| ~ sQ137_spl
| ~ sQ136_spl
| ~ sQ135_spl
| ~ sQ134_spl
| ~ sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f307,f2364,f2367,f2370,f2373,f2376,f2379,f2382,f2385,f2388,f2391,f2394,f2397,f2400,f2403,f2406,f2409,f2412,f2415,f2418,f2433]) ).
fof(f2437,definition,
( sQ155_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f2439,plain,
( sQ155_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f2437]) ).
fof(f2440,definition,
( sQ156_spl
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f2442,plain,
( sQ156_spl
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f2440]) ).
fof(f2443,definition,
( sQ157_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f2445,plain,
( sQ157_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f2443]) ).
fof(f2446,definition,
( sQ158_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f2448,plain,
( sQ158_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f2446]) ).
fof(f2449,definition,
( sQ159_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f2451,plain,
( sQ159_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f2449]) ).
fof(f2452,definition,
( sQ160_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f2454,plain,
( sQ160_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f2452]) ).
fof(f2455,definition,
( sQ161_spl
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f2457,plain,
( sQ161_spl
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f2455]) ).
fof(f2458,definition,
( sQ162_spl
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f2460,plain,
( sQ162_spl
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f2458]) ).
fof(f2461,definition,
( sQ163_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f2463,plain,
( sQ163_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f2461]) ).
fof(f2464,definition,
( sQ164_spl
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f2466,plain,
( sQ164_spl
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(component_clause,[status(thm)],[f2464]) ).
fof(f2467,definition,
( sQ165_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f2468,plain,
( ~ sQ165_spl
| h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f2467]) ).
fof(f2469,plain,
( sQ165_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f2467]) ).
fof(f2470,definition,
( sQ166_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f2472,plain,
( sQ166_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f2470]) ).
fof(f2473,definition,
( sQ167_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f2475,plain,
( sQ167_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f2473]) ).
fof(f2476,definition,
( sQ168_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2478,plain,
( sQ168_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f2476]) ).
fof(f2479,definition,
( sQ169_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f2481,plain,
( sQ169_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f2479]) ).
fof(f2482,definition,
( sQ170_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f2484,plain,
( sQ170_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f2482]) ).
fof(f2485,definition,
( sQ171_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f2488,definition,
( sQ172_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f2491,definition,
( sQ173_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2494,definition,
( sQ174_spl
<=> h2(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f2495,plain,
( ~ sQ174_spl
| h2(e10) = e23 ),
inference(component_clause,[status(thm)],[f2494]) ).
fof(f2496,plain,
( sQ174_spl
| h2(e10) != e23 ),
inference(component_clause,[status(thm)],[f2494]) ).
fof(f2506,definition,
( sQ177_spl
<=> h2(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2508,plain,
( sQ177_spl
| h2(e13) != e23 ),
inference(component_clause,[status(thm)],[f2506]) ).
fof(f2509,plain,
( ~ sQ177_spl
| sQ173_spl
| sQ172_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ169_spl
| ~ sQ168_spl
| ~ sQ167_spl
| ~ sQ166_spl
| ~ sQ165_spl
| ~ sQ164_spl
| ~ sQ163_spl
| ~ sQ162_spl
| ~ sQ161_spl
| ~ sQ160_spl
| ~ sQ159_spl
| ~ sQ158_spl
| ~ sQ157_spl
| ~ sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f311,f2437,f2440,f2443,f2446,f2449,f2452,f2455,f2458,f2461,f2464,f2467,f2470,f2473,f2476,f2479,f2482,f2485,f2488,f2491,f2506]) ).
fof(f2510,definition,
( sQ178_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f2512,plain,
( sQ178_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f2510]) ).
fof(f2513,definition,
( sQ179_spl
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f2515,plain,
( sQ179_spl
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11)) ),
inference(component_clause,[status(thm)],[f2513]) ).
fof(f2516,definition,
( sQ180_spl
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f2518,plain,
( sQ180_spl
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ),
inference(component_clause,[status(thm)],[f2516]) ).
fof(f2519,definition,
( sQ181_spl
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f2521,plain,
( sQ181_spl
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f2519]) ).
fof(f2522,definition,
( sQ182_spl
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f2524,plain,
( sQ182_spl
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f2522]) ).
fof(f2525,definition,
( sQ183_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2527,plain,
( sQ183_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f2525]) ).
fof(f2528,definition,
( sQ184_spl
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f2530,plain,
( sQ184_spl
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f2528]) ).
fof(f2531,definition,
( sQ185_spl
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f2533,plain,
( sQ185_spl
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(component_clause,[status(thm)],[f2531]) ).
fof(f2534,definition,
( sQ186_spl
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f2536,plain,
( sQ186_spl
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) ),
inference(component_clause,[status(thm)],[f2534]) ).
fof(f2537,definition,
( sQ187_spl
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f2539,plain,
( sQ187_spl
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11)) ),
inference(component_clause,[status(thm)],[f2537]) ).
fof(f2540,definition,
( sQ188_spl
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f2542,plain,
( sQ188_spl
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f2540]) ).
fof(f2543,definition,
( sQ189_spl
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2545,plain,
( sQ189_spl
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(component_clause,[status(thm)],[f2543]) ).
fof(f2546,definition,
( sQ190_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2548,plain,
( sQ190_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f2546]) ).
fof(f2549,definition,
( sQ191_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2551,plain,
( sQ191_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f2549]) ).
fof(f2552,definition,
( sQ192_spl
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f2553,plain,
( ~ sQ192_spl
| h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f2552]) ).
fof(f2554,plain,
( sQ192_spl
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f2552]) ).
fof(f2555,definition,
( sQ193_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f2556,plain,
( ~ sQ193_spl
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f2555]) ).
fof(f2557,plain,
( sQ193_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f2555]) ).
fof(f2558,definition,
( sQ194_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f2561,definition,
( sQ195_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f2564,definition,
( sQ196_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f2579,definition,
( sQ200_spl
<=> h3(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2580,plain,
( ~ sQ200_spl
| h3(e13) = e23 ),
inference(component_clause,[status(thm)],[f2579]) ).
fof(f2581,plain,
( sQ200_spl
| h3(e13) != e23 ),
inference(component_clause,[status(thm)],[f2579]) ).
fof(f2582,plain,
( ~ sQ200_spl
| sQ196_spl
| sQ195_spl
| sQ194_spl
| ~ sQ193_spl
| ~ sQ192_spl
| ~ sQ191_spl
| ~ sQ190_spl
| ~ sQ189_spl
| ~ sQ188_spl
| ~ sQ187_spl
| ~ sQ186_spl
| ~ sQ185_spl
| ~ sQ184_spl
| ~ sQ183_spl
| ~ sQ182_spl
| ~ sQ181_spl
| ~ sQ180_spl
| ~ sQ179_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f315,f2510,f2513,f2516,f2519,f2522,f2525,f2528,f2531,f2534,f2537,f2540,f2543,f2546,f2549,f2552,f2555,f2558,f2561,f2564,f2579]) ).
fof(f2583,definition,
( sQ201_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2585,plain,
( sQ201_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f2583]) ).
fof(f2586,definition,
( sQ202_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2588,plain,
( sQ202_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f2586]) ).
fof(f2589,definition,
( sQ203_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2591,plain,
( sQ203_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f2589]) ).
fof(f2592,definition,
( sQ204_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2593,plain,
( ~ sQ204_spl
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f2592]) ).
fof(f2594,plain,
( sQ204_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f2592]) ).
fof(f2595,definition,
( sQ205_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2597,plain,
( sQ205_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f2595]) ).
fof(f2598,definition,
( sQ206_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2599,plain,
( ~ sQ206_spl
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f2598]) ).
fof(f2600,plain,
( sQ206_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f2598]) ).
fof(f2601,definition,
( sQ207_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2603,plain,
( sQ207_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f2601]) ).
fof(f2604,definition,
( sQ208_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2606,plain,
( sQ208_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f2604]) ).
fof(f2607,definition,
( sQ209_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2609,plain,
( sQ209_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f2607]) ).
fof(f2610,definition,
( sQ210_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2611,plain,
( ~ sQ210_spl
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f2610]) ).
fof(f2612,plain,
( sQ210_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f2610]) ).
fof(f2613,definition,
( sQ211_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2614,plain,
( ~ sQ211_spl
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f2613]) ).
fof(f2615,plain,
( sQ211_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f2613]) ).
fof(f2616,definition,
( sQ212_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2618,plain,
( sQ212_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f2616]) ).
fof(f2619,definition,
( sQ213_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2621,plain,
( sQ213_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f2619]) ).
fof(f2622,definition,
( sQ214_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2624,plain,
( sQ214_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f2622]) ).
fof(f2625,definition,
( sQ215_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2627,plain,
( sQ215_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f2625]) ).
fof(f2628,definition,
( sQ216_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2630,plain,
( sQ216_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f2628]) ).
fof(f2631,definition,
( sQ217_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2634,definition,
( sQ218_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2637,definition,
( sQ219_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2644,definition,
( sQ221_spl
<=> h4(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2648,definition,
( sQ222_spl
<=> h4(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2649,plain,
( ~ sQ222_spl
| h4(e12) = e23 ),
inference(component_clause,[status(thm)],[f2648]) ).
fof(f2650,plain,
( sQ222_spl
| h4(e12) != e23 ),
inference(component_clause,[status(thm)],[f2648]) ).
fof(f2651,plain,
( ~ sQ222_spl
| sQ219_spl
| sQ218_spl
| sQ217_spl
| ~ sQ216_spl
| ~ sQ215_spl
| ~ sQ214_spl
| ~ sQ213_spl
| ~ sQ212_spl
| ~ sQ211_spl
| ~ sQ210_spl
| ~ sQ209_spl
| ~ sQ208_spl
| ~ sQ207_spl
| ~ sQ206_spl
| ~ sQ205_spl
| ~ sQ204_spl
| ~ sQ203_spl
| ~ sQ202_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f318,f2583,f2586,f2589,f2592,f2595,f2598,f2601,f2604,f2607,f2610,f2613,f2616,f2619,f2622,f2625,f2628,f2631,f2634,f2637,f2648]) ).
fof(f2652,definition,
( sQ223_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2653,plain,
( ~ sQ223_spl
| h4(e13) = e23 ),
inference(component_clause,[status(thm)],[f2652]) ).
fof(f2654,plain,
( sQ223_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f2652]) ).
fof(f2656,definition,
( sQ224_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2659,plain,
( sQ62_spl
| sQ224_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f326,f2330,f2656,f2051]) ).
fof(f2660,definition,
( sQ225_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2664,definition,
( sQ226_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2669,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ224_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f330,f2330,f2656,f2051,f2041]) ).
fof(f2670,plain,
( ~ sQ224_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f331,f2330,f2656]) ).
fof(f2675,definition,
( sQ227_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2678,plain,
( sQ59_spl
| sQ227_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f342,f2338,f2675,f2041]) ).
fof(f2679,plain,
( sQ47_spl
| sQ227_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f343,f2338,f2675,f2002]) ).
fof(f2680,definition,
( sQ228_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2684,definition,
( sQ229_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2690,plain,
( ~ sQ227_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f348,f2338,f2675]) ).
fof(f2695,definition,
( sQ230_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2698,plain,
( sQ126_spl
| sQ230_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f359,f2347,f2695,f2291]) ).
fof(f2699,definition,
( sQ231_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2703,definition,
( sQ232_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2708,plain,
( sQ123_spl
| ~ sQ126_spl
| sQ230_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f363,f2347,f2695,f2291,f2281]) ).
fof(f2709,plain,
( ~ sQ230_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f364,f2347,f2695]) ).
fof(f2714,definition,
( sQ233_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2718,plain,
( sQ111_spl
| sQ233_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f376,f2355,f2714,f2242]) ).
fof(f2719,definition,
( sQ234_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2723,definition,
( sQ235_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2729,plain,
( ~ sQ233_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f381,f2355,f2714]) ).
fof(f2734,definition,
( sQ236_spl
<=> h1(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2735,plain,
( ~ sQ236_spl
| h1(e10) = e20 ),
inference(component_clause,[status(thm)],[f2734]) ).
fof(f2738,definition,
( sQ237_spl
<=> h1(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2739,plain,
( ~ sQ237_spl
| h1(e11) = e20 ),
inference(component_clause,[status(thm)],[f2738]) ).
fof(f2742,definition,
( sQ238_spl
<=> h1(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2744,plain,
( sQ238_spl
| h1(e12) != e20 ),
inference(component_clause,[status(thm)],[f2742]) ).
fof(f2745,plain,
( ~ sQ238_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f389,f2412,f2742]) ).
fof(f2746,definition,
( sQ239_spl
<=> h1(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2747,plain,
( ~ sQ239_spl
| h1(e13) = e20 ),
inference(component_clause,[status(thm)],[f2746]) ).
fof(f2748,plain,
( sQ239_spl
| h1(e13) != e20 ),
inference(component_clause,[status(thm)],[f2746]) ).
fof(f2751,definition,
( sQ240_spl
<=> h1(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2752,plain,
( ~ sQ240_spl
| h1(e10) = e21 ),
inference(component_clause,[status(thm)],[f2751]) ).
fof(f2753,plain,
( sQ240_spl
| h1(e10) != e21 ),
inference(component_clause,[status(thm)],[f2751]) ).
fof(f2754,plain,
( ~ sQ240_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f393,f2415,f2751]) ).
fof(f2755,definition,
( sQ241_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2756,plain,
( ~ sQ241_spl
| h1(e11) = e21 ),
inference(component_clause,[status(thm)],[f2755]) ).
fof(f2758,plain,
( ~ sQ241_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f394,f2415,f2755]) ).
fof(f2759,definition,
( sQ242_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2760,plain,
( ~ sQ242_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f2759]) ).
fof(f2763,definition,
( sQ243_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2764,plain,
( ~ sQ243_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f2763]) ).
fof(f2768,definition,
( sQ244_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2769,plain,
( ~ sQ244_spl
| h1(e10) = e22 ),
inference(component_clause,[status(thm)],[f2768]) ).
fof(f2772,definition,
( sQ245_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2773,plain,
( ~ sQ245_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f2772]) ).
fof(f2774,plain,
( sQ245_spl
| h1(e11) != e22 ),
inference(component_clause,[status(thm)],[f2772]) ).
fof(f2775,plain,
( ~ sQ245_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f400,f2418,f2772]) ).
fof(f2776,definition,
( sQ246_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2777,plain,
( ~ sQ246_spl
| h1(e12) = e22 ),
inference(component_clause,[status(thm)],[f2776]) ).
fof(f2780,definition,
( sQ247_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2781,plain,
( ~ sQ247_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f2780]) ).
fof(f2782,plain,
( sQ247_spl
| h1(e13) != e22 ),
inference(component_clause,[status(thm)],[f2780]) ).
fof(f2783,plain,
( ~ sQ247_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f402,f2418,f2780]) ).
fof(f2785,definition,
( sQ248_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2786,plain,
( ~ sQ248_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f2785]) ).
fof(f2789,definition,
( sQ249_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2790,plain,
( ~ sQ249_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f2789]) ).
fof(f2791,plain,
( sQ249_spl
| h2(e11) != e20 ),
inference(component_clause,[status(thm)],[f2789]) ).
fof(f2792,plain,
( ~ sQ249_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f406,f2485,f2789]) ).
fof(f2802,definition,
( sQ252_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2803,plain,
( ~ sQ252_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f2802]) ).
fof(f2806,definition,
( sQ253_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2807,plain,
( ~ sQ253_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f2806]) ).
fof(f2810,definition,
( sQ254_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2812,plain,
( sQ254_spl
| h2(e12) != e21 ),
inference(component_clause,[status(thm)],[f2810]) ).
fof(f2813,plain,
( ~ sQ254_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f413,f2488,f2810]) ).
fof(f2814,definition,
( sQ255_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2815,plain,
( ~ sQ255_spl
| h2(e13) = e21 ),
inference(component_clause,[status(thm)],[f2814]) ).
fof(f2816,plain,
( sQ255_spl
| h2(e13) != e21 ),
inference(component_clause,[status(thm)],[f2814]) ).
fof(f2819,definition,
( sQ256_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2820,plain,
( ~ sQ256_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f2819]) ).
fof(f2821,plain,
( sQ256_spl
| h2(e10) != e22 ),
inference(component_clause,[status(thm)],[f2819]) ).
fof(f2822,plain,
( ~ sQ256_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f417,f2491,f2819]) ).
fof(f2823,definition,
( sQ257_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2824,plain,
( ~ sQ257_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f2823]) ).
fof(f2827,definition,
( sQ258_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2828,plain,
( ~ sQ258_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f2827]) ).
fof(f2831,definition,
( sQ259_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2832,plain,
( ~ sQ259_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f2831]) ).
fof(f2833,plain,
( sQ259_spl
| h2(e13) != e22 ),
inference(component_clause,[status(thm)],[f2831]) ).
fof(f2834,plain,
( ~ sQ259_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f420,f2491,f2831]) ).
fof(f2835,plain,
( sQ259_spl
| sQ258_spl
| sQ257_spl
| sQ256_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f421,f2491,f2819,f2823,f2827,f2831]) ).
fof(f2836,definition,
( sQ260_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2838,plain,
( sQ260_spl
| h3(e10) != e20 ),
inference(component_clause,[status(thm)],[f2836]) ).
fof(f2839,plain,
( ~ sQ260_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f423,f2558,f2836]) ).
fof(f2840,definition,
( sQ261_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2841,plain,
( ~ sQ261_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f2840]) ).
fof(f2844,definition,
( sQ262_spl
<=> h3(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2845,plain,
( ~ sQ262_spl
| h3(e12) = e20 ),
inference(component_clause,[status(thm)],[f2844]) ).
fof(f2848,definition,
( sQ263_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2849,plain,
( ~ sQ263_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f2848]) ).
fof(f2853,definition,
( sQ264_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2854,plain,
( ~ sQ264_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f2853]) ).
fof(f2857,definition,
( sQ265_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2859,plain,
( sQ265_spl
| h3(e11) != e21 ),
inference(component_clause,[status(thm)],[f2857]) ).
fof(f2860,plain,
( ~ sQ265_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f430,f2561,f2857]) ).
fof(f2861,definition,
( sQ266_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2862,plain,
( ~ sQ266_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f2861]) ).
fof(f2865,definition,
( sQ267_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2866,plain,
( ~ sQ267_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f2865]) ).
fof(f2870,definition,
( sQ268_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2871,plain,
( ~ sQ268_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f2870]) ).
fof(f2874,definition,
( sQ269_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2875,plain,
( ~ sQ269_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f2874]) ).
fof(f2878,definition,
( sQ270_spl
<=> h3(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2880,plain,
( sQ270_spl
| h3(e12) != e22 ),
inference(component_clause,[status(thm)],[f2878]) ).
fof(f2881,plain,
( ~ sQ270_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f437,f2564,f2878]) ).
fof(f2882,definition,
( sQ271_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2883,plain,
( ~ sQ271_spl
| h3(e13) = e22 ),
inference(component_clause,[status(thm)],[f2882]) ).
fof(f2887,definition,
( sQ272_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2888,plain,
( ~ sQ272_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f2887]) ).
fof(f2889,plain,
( sQ272_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f2887]) ).
fof(f2890,plain,
( ~ sQ272_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f441,f2631,f2887]) ).
fof(f2891,definition,
( sQ273_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2892,plain,
( ~ sQ273_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f2891]) ).
fof(f2894,plain,
( ~ sQ273_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f442,f2631,f2891]) ).
fof(f2895,definition,
( sQ274_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2896,plain,
( ~ sQ274_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f2895]) ).
fof(f2904,definition,
( sQ276_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2905,plain,
( ~ sQ276_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f2904]) ).
fof(f2907,plain,
( ~ sQ276_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f447,f2634,f2904]) ).
fof(f2908,definition,
( sQ277_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2909,plain,
( ~ sQ277_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f2908]) ).
fof(f2911,plain,
( ~ sQ277_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f448,f2634,f2908]) ).
fof(f2912,definition,
( sQ278_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2913,plain,
( ~ sQ278_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f2912]) ).
fof(f2916,definition,
( sQ279_spl
<=> h4(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2917,plain,
( ~ sQ279_spl
| h4(e13) = e21 ),
inference(component_clause,[status(thm)],[f2916]) ).
fof(f2919,plain,
( ~ sQ279_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f450,f2634,f2916]) ).
fof(f2920,plain,
( sQ279_spl
| sQ278_spl
| sQ277_spl
| sQ276_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f451,f2634,f2904,f2908,f2912,f2916]) ).
fof(f2921,definition,
( sQ280_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2922,plain,
( ~ sQ280_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f2921]) ).
fof(f2923,plain,
( sQ280_spl
| h4(e10) != e22 ),
inference(component_clause,[status(thm)],[f2921]) ).
fof(f2924,plain,
( ~ sQ280_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f453,f2637,f2921]) ).
fof(f2925,definition,
( sQ281_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2926,plain,
( ~ sQ281_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f2925]) ).
fof(f2928,plain,
( ~ sQ281_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f454,f2637,f2925]) ).
fof(f2929,definition,
( sQ282_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2930,plain,
( ~ sQ282_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f2929]) ).
fof(f2933,definition,
( sQ283_spl
<=> h4(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2934,plain,
( ~ sQ283_spl
| h4(e13) = e22 ),
inference(component_clause,[status(thm)],[f2933]) ).
fof(f2935,plain,
( sQ283_spl
| h4(e13) != e22 ),
inference(component_clause,[status(thm)],[f2933]) ).
fof(f2936,plain,
( ~ sQ283_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f456,f2637,f2933]) ).
fof(f2937,plain,
( sQ283_spl
| sQ282_spl
| sQ281_spl
| sQ280_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f457,f2637,f2921,f2925,f2929,f2933]) ).
fof(f2938,definition,
( sQ284_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2941,plain,
( sQ61_spl
| sQ284_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f464,f2656,f2938,f2048]) ).
fof(f2942,definition,
( sQ285_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2946,definition,
( sQ286_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2950,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ284_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f467,f2656,f2938,f1983,f1973]) ).
fof(f2952,plain,
( ~ sQ284_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f469,f2656,f2938]) ).
fof(f2957,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f475,f2660,f1856,f1876]) ).
fof(f2958,plain,
( sQ2_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f476,f2660,f1856]) ).
fof(f2959,plain,
( ~ sQ8_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f477,f2660,f1876]) ).
fof(f2961,plain,
( sQ22_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f480,f2664,f1921]) ).
fof(f2963,definition,
( sQ287_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2966,plain,
( sQ55_spl
| sQ287_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f488,f2675,f2963,f2028]) ).
fof(f2968,definition,
( sQ288_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2972,definition,
( sQ289_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2978,plain,
( ~ sQ287_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f494,f2675,f2963]) ).
fof(f2985,plain,
( sQ40_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f502,f2680,f1980]) ).
fof(f2987,plain,
( sQ38_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f505,f2684,f1973]) ).
fof(f2989,definition,
( sQ290_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2992,plain,
( sQ125_spl
| sQ290_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f513,f2695,f2989,f2288]) ).
fof(f2993,definition,
( sQ291_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2997,definition,
( sQ292_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f3001,plain,
( sQ102_spl
| ~ sQ105_spl
| sQ290_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f516,f2695,f2989,f2223,f2213]) ).
fof(f3003,plain,
( ~ sQ290_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f518,f2695,f2989]) ).
fof(f3008,plain,
( sQ72_spl
| ~ sQ66_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f524,f2699,f2096,f2116]) ).
fof(f3009,plain,
( sQ66_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f525,f2699,f2096]) ).
fof(f3010,plain,
( ~ sQ72_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f526,f2699,f2116]) ).
fof(f3012,plain,
( sQ86_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f529,f2703,f2161]) ).
fof(f3014,definition,
( sQ293_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f3017,plain,
( sQ119_spl
| sQ293_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f537,f2714,f3014,f2268]) ).
fof(f3018,plain,
( sQ95_spl
| sQ293_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f538,f2714,f3014,f2190]) ).
fof(f3019,definition,
( sQ294_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f3022,plain,
( sQ294_spl
| sQ293_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f539,f2714,f3014,f3019]) ).
fof(f3023,definition,
( sQ295_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f3029,plain,
( ~ sQ293_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f543,f2714,f3014]) ).
fof(f3036,plain,
( sQ104_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f551,f2719,f2220]) ).
fof(f3038,plain,
( sQ102_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f554,f2723,f2213]) ).
fof(f3040,definition,
( sQ296_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f3043,plain,
( sQ60_spl
| sQ296_spl
| ~ sQ284_spl ),
inference(split_clause,[status(thm)],[f562,f2938,f3040,f2045]) ).
fof(f3044,definition,
( sQ297_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f3048,definition,
( sQ298_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f3051,plain,
( sQ298_spl
| sQ296_spl
| ~ sQ284_spl ),
inference(split_clause,[status(thm)],[f564,f2938,f3040,f3048]) ).
fof(f3053,plain,
( sQ51_spl
| ~ sQ60_spl
| sQ296_spl
| ~ sQ284_spl ),
inference(split_clause,[status(thm)],[f566,f2938,f3040,f2045,f2015]) ).
fof(f3054,plain,
( ~ sQ296_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f567,f2938,f3040]) ).
fof(f3060,plain,
( sQ1_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f574,f2942,f1853]) ).
fof(f3063,plain,
( sQ21_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f578,f2946,f1918]) ).
fof(f3065,definition,
( sQ299_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f3068,plain,
( sQ51_spl
| sQ299_spl
| ~ sQ287_spl ),
inference(split_clause,[status(thm)],[f586,f2963,f3065,f2015]) ).
fof(f3069,plain,
( sQ15_spl
| sQ299_spl
| ~ sQ287_spl ),
inference(split_clause,[status(thm)],[f587,f2963,f3065,f1898]) ).
fof(f3070,definition,
( sQ300_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f3073,plain,
( sQ300_spl
| sQ299_spl
| ~ sQ287_spl ),
inference(split_clause,[status(thm)],[f588,f2963,f3065,f3070]) ).
fof(f3074,definition,
( sQ301_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f3080,plain,
( ~ sQ299_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f592,f2963,f3065]) ).
fof(f3085,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f598,f2968,f1905,f1915]) ).
fof(f3086,plain,
( sQ17_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f599,f2968,f1905]) ).
fof(f3089,plain,
( sQ21_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f603,f2972,f1918]) ).
fof(f3091,definition,
( sQ302_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f3094,plain,
( sQ124_spl
| sQ302_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f611,f2989,f3091,f2285]) ).
fof(f3095,definition,
( sQ303_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f3099,definition,
( sQ304_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f3102,plain,
( sQ304_spl
| sQ302_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f613,f2989,f3091,f3099]) ).
fof(f3104,plain,
( sQ115_spl
| ~ sQ124_spl
| sQ302_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f615,f2989,f3091,f2285,f2255]) ).
fof(f3105,plain,
( ~ sQ302_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f616,f2989,f3091]) ).
fof(f3110,plain,
( sQ68_spl
| ~ sQ65_spl
| ~ sQ291_spl ),
inference(split_clause,[status(thm)],[f622,f2993,f2093,f2103]) ).
fof(f3111,plain,
( sQ65_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f623,f2993,f2093]) ).
fof(f3114,plain,
( sQ85_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f627,f2997,f2158]) ).
fof(f3116,definition,
( sQ305_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f3119,plain,
( sQ115_spl
| sQ305_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f635,f3014,f3116,f2255]) ).
fof(f3120,plain,
( sQ79_spl
| sQ305_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f636,f3014,f3116,f2138]) ).
fof(f3121,definition,
( sQ306_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f3124,plain,
( sQ306_spl
| sQ305_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f637,f3014,f3116,f3121]) ).
fof(f3125,definition,
( sQ307_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f3129,plain,
( ~ sQ66_spl
| ~ sQ72_spl
| sQ305_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f639,f3014,f3116,f2116,f2096]) ).
fof(f3130,plain,
( ~ sQ67_spl
| ~ sQ76_spl
| sQ305_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f640,f3014,f3116,f2129,f2099]) ).
fof(f3136,plain,
( ~ sQ84_spl
| ~ sQ81_spl
| ~ sQ294_spl ),
inference(split_clause,[status(thm)],[f647,f3019,f2145,f2155]) ).
fof(f3137,plain,
( sQ81_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f648,f3019,f2145]) ).
fof(f3140,plain,
( sQ85_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f652,f3023,f2158]) ).
fof(f3142,definition,
( sQ308_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f3145,plain,
( sQ43_spl
| sQ308_spl
| ~ sQ296_spl ),
inference(split_clause,[status(thm)],[f660,f3040,f3142,f1989]) ).
fof(f3146,definition,
( sQ309_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f3150,definition,
( sQ310_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f3156,plain,
( ~ sQ308_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f665,f3040,f3142]) ).
fof(f3162,plain,
( sQ0_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f672,f3044,f1850]) ).
fof(f3163,plain,
( ~ sQ0_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f673,f3044,f1850]) ).
fof(f3164,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ298_spl ),
inference(split_clause,[status(thm)],[f675,f3048,f1915,f1905]) ).
fof(f3166,plain,
( ~ sQ17_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f677,f3048,f1905]) ).
fof(f3167,definition,
( sQ311_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f3170,plain,
( sQ46_spl
| sQ311_spl
| ~ sQ299_spl ),
inference(split_clause,[status(thm)],[f684,f3065,f3167,f1999]) ).
fof(f3171,plain,
( sQ58_spl
| sQ311_spl
| ~ sQ299_spl ),
inference(split_clause,[status(thm)],[f685,f3065,f3167,f2038]) ).
fof(f3172,definition,
( sQ312_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3176,definition,
( sQ313_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3180,plain,
( ~ sQ62_spl
| ~ sQ59_spl
| sQ311_spl
| ~ sQ299_spl ),
inference(split_clause,[status(thm)],[f688,f3065,f3167,f2041,f2051]) ).
fof(f3181,plain,
( ~ sQ63_spl
| sQ311_spl
| ~ sQ299_spl ),
inference(split_clause,[status(thm)],[f689,f3065,f3167,f2054]) ).
fof(f3182,plain,
( ~ sQ311_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f690,f3065,f3167]) ).
fof(f3187,plain,
( ~ sQ0_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f696,f3070,f1850]) ).
fof(f3188,plain,
( sQ0_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f697,f3070,f1850]) ).
fof(f3191,plain,
( sQ4_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f701,f3074,f1863]) ).
fof(f3192,plain,
( sQ1_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f702,f3074,f1853]) ).
fof(f3193,definition,
( sQ314_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3196,plain,
( sQ107_spl
| sQ314_spl
| ~ sQ302_spl ),
inference(split_clause,[status(thm)],[f709,f3091,f3193,f2229]) ).
fof(f3197,definition,
( sQ315_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3201,definition,
( sQ316_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3207,plain,
( ~ sQ314_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f714,f3091,f3193]) ).
fof(f3213,plain,
( sQ64_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f721,f3095,f2090]) ).
fof(f3215,plain,
( sQ81_spl
| ~ sQ84_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f724,f3099,f2155,f2145]) ).
fof(f3217,plain,
( ~ sQ81_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f726,f3099,f2145]) ).
fof(f3218,definition,
( sQ317_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3221,plain,
( sQ110_spl
| sQ317_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f733,f3116,f3218,f2239]) ).
fof(f3222,plain,
( sQ122_spl
| sQ317_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f734,f3116,f3218,f2278]) ).
fof(f3223,definition,
( sQ318_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3227,definition,
( sQ319_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3231,plain,
( ~ sQ126_spl
| ~ sQ123_spl
| sQ317_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f737,f3116,f3218,f2281,f2291]) ).
fof(f3232,plain,
( ~ sQ127_spl
| sQ317_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f738,f3116,f3218,f2294]) ).
fof(f3238,plain,
( ~ sQ64_spl
| ~ sQ306_spl ),
inference(split_clause,[status(thm)],[f745,f3121,f2090]) ).
fof(f3239,plain,
( sQ64_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f746,f3121,f2090]) ).
fof(f3242,plain,
( sQ68_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f750,f3125,f2103]) ).
fof(f3244,definition,
( sQ320_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3247,plain,
( sQ42_spl
| sQ320_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f758,f3142,f3244,f1986]) ).
fof(f3248,definition,
( sQ321_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3252,definition,
( sQ322_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3258,plain,
( ~ sQ320_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f763,f3142,f3244]) ).
fof(f3263,plain,
( sQ12_spl
| ~ sQ3_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f769,f3146,f1859,f1889]) ).
fof(f3264,plain,
( sQ3_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f770,f3146,f1859]) ).
fof(f3265,plain,
( ~ sQ12_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f771,f3146,f1889]) ).
fof(f3267,plain,
( sQ23_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f774,f3150,f1924]) ).
fof(f3269,definition,
( sQ323_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3272,plain,
( sQ42_spl
| sQ323_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f782,f3167,f3269,f1986]) ).
fof(f3274,definition,
( sQ324_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3278,definition,
( sQ325_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f3284,plain,
( ~ sQ323_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f788,f3167,f3269]) ).
fof(f3290,plain,
( sQ51_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f795,f3172,f2015]) ).
fof(f3291,plain,
( sQ60_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f796,f3172,f2045]) ).
fof(f3293,plain,
( sQ55_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f799,f3176,f2028]) ).
fof(f3295,definition,
( sQ326_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f3298,plain,
( sQ106_spl
| sQ326_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f807,f3193,f3295,f2226]) ).
fof(f3299,definition,
( sQ327_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f3303,definition,
( sQ328_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f3309,plain,
( ~ sQ326_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f812,f3193,f3295]) ).
fof(f3314,plain,
( sQ76_spl
| ~ sQ67_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f818,f3197,f2099,f2129]) ).
fof(f3315,plain,
( sQ67_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f819,f3197,f2099]) ).
fof(f3318,plain,
( sQ87_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f823,f3201,f2164]) ).
fof(f3320,definition,
( sQ329_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f3323,plain,
( sQ106_spl
| sQ329_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f831,f3218,f3320,f2226]) ).
fof(f3325,definition,
( sQ330_spl
<=> sP74_prd ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f3329,definition,
( sQ331_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f3341,plain,
( sQ115_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f844,f3223,f2255]) ).
fof(f3342,plain,
( sQ124_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f845,f3223,f2285]) ).
fof(f3344,plain,
( sQ119_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f848,f3227,f2268]) ).
fof(f3345,plain,
( sQ125_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f849,f3227,f2288]) ).
fof(f3346,definition,
( sQ332_spl
<=> sP76_prd ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f3350,definition,
( sQ333_spl
<=> sP77_prd ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f3354,definition,
( sQ334_spl
<=> sP78_prd ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f3358,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ332_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f859,f3244,f3346,f1983,f1973]) ).
fof(f3360,plain,
( ~ sQ332_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f861,f3244,f3346]) ).
fof(f3365,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f867,f3248,f1856,f1876]) ).
fof(f3366,plain,
( sQ2_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f868,f3248,f1856]) ).
fof(f3367,plain,
( ~ sQ8_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f869,f3248,f1876]) ).
fof(f3369,plain,
( sQ22_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f872,f3252,f1921]) ).
fof(f3371,definition,
( sQ335_spl
<=> sP79_prd ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f3374,plain,
( sQ38_spl
| sQ335_spl
| ~ sQ323_spl ),
inference(split_clause,[status(thm)],[f880,f3269,f3371,f1973]) ).
fof(f3376,definition,
( sQ336_spl
<=> sP80_prd ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f3380,definition,
( sQ337_spl
<=> sP81_prd ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f3386,plain,
( ~ sQ335_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f886,f3269,f3371]) ).
fof(f3393,plain,
( sQ40_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f894,f3274,f1980]) ).
fof(f3395,plain,
( sQ38_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f897,f3278,f1973]) ).
fof(f3397,definition,
( sQ338_spl
<=> sP82_prd ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f3401,definition,
( sQ339_spl
<=> sP83_prd ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f3404,plain,
( sQ339_spl
| sQ338_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f906,f3295,f3397,f3401]) ).
fof(f3405,definition,
( sQ340_spl
<=> sP84_prd ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f3409,plain,
( sQ102_spl
| ~ sQ105_spl
| sQ338_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f908,f3295,f3397,f2223,f2213]) ).
fof(f3411,plain,
( ~ sQ338_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f910,f3295,f3397]) ).
fof(f3416,plain,
( sQ72_spl
| ~ sQ66_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f916,f3299,f2096,f2116]) ).
fof(f3417,plain,
( sQ66_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f917,f3299,f2096]) ).
fof(f3418,plain,
( ~ sQ72_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f918,f3299,f2116]) ).
fof(f3420,plain,
( sQ86_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f921,f3303,f2161]) ).
fof(f3422,definition,
( sQ341_spl
<=> sP85_prd ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f3425,plain,
( sQ102_spl
| sQ341_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f929,f3320,f3422,f2213]) ).
fof(f3427,definition,
( sQ342_spl
<=> sP86_prd ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f3431,definition,
( sQ343_spl
<=> sP87_prd ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f3444,plain,
( sQ104_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f943,f3325,f2220]) ).
fof(f3446,plain,
( sQ102_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f946,f3329,f2213]) ).
fof(f3448,definition,
( sQ344_spl
<=> sP88_prd ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f3451,plain,
( sQ40_spl
| sQ344_spl
| ~ sQ332_spl ),
inference(split_clause,[status(thm)],[f954,f3346,f3448,f1980]) ).
fof(f3452,definition,
( sQ345_spl
<=> sP89_prd ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f3456,definition,
( sQ346_spl
<=> sP90_prd ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f3462,plain,
( ~ sQ344_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f959,f3346,f3448]) ).
fof(f3468,plain,
( sQ1_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f966,f3350,f1853]) ).
fof(f3471,plain,
( sQ21_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f970,f3354,f1918]) ).
fof(f3473,definition,
( sQ347_spl
<=> sP91_prd ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f3476,plain,
( sQ34_spl
| sQ347_spl
| ~ sQ335_spl ),
inference(split_clause,[status(thm)],[f978,f3371,f3473,f1960]) ).
fof(f3477,plain,
( sQ10_spl
| sQ347_spl
| ~ sQ335_spl ),
inference(split_clause,[status(thm)],[f979,f3371,f3473,f1882]) ).
fof(f3478,definition,
( sQ348_spl
<=> sP92_prd ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f3481,plain,
( sQ348_spl
| sQ347_spl
| ~ sQ335_spl ),
inference(split_clause,[status(thm)],[f980,f3371,f3473,f3478]) ).
fof(f3482,definition,
( sQ349_spl
<=> sP93_prd ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f3487,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sQ347_spl
| ~ sQ335_spl ),
inference(split_clause,[status(thm)],[f983,f3371,f3473,f1889,f1859]) ).
fof(f3488,plain,
( ~ sQ347_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f984,f3371,f3473]) ).
fof(f3493,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ336_spl ),
inference(split_clause,[status(thm)],[f990,f3376,f1905,f1915]) ).
fof(f3494,plain,
( sQ17_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f991,f3376,f1905]) ).
fof(f3497,plain,
( sQ21_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f995,f3380,f1918]) ).
fof(f3499,definition,
( sQ350_spl
<=> sP94_prd ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f3502,plain,
( sQ104_spl
| sQ350_spl
| ~ sQ338_spl ),
inference(split_clause,[status(thm)],[f1003,f3397,f3499,f2220]) ).
fof(f3503,definition,
( sQ351_spl
<=> sP95_prd ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f3507,definition,
( sQ352_spl
<=> sP96_prd ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f3513,plain,
( ~ sQ350_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f1008,f3397,f3499]) ).
fof(f3518,plain,
( sQ68_spl
| ~ sQ65_spl
| ~ sQ339_spl ),
inference(split_clause,[status(thm)],[f1014,f3401,f2093,f2103]) ).
fof(f3519,plain,
( sQ65_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f1015,f3401,f2093]) ).
fof(f3522,plain,
( sQ85_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f1019,f3405,f2158]) ).
fof(f3524,definition,
( sQ353_spl
<=> sP97_prd ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f3527,plain,
( sQ98_spl
| sQ353_spl
| ~ sQ341_spl ),
inference(split_clause,[status(thm)],[f1027,f3422,f3524,f2200]) ).
fof(f3528,plain,
( sQ74_spl
| sQ353_spl
| ~ sQ341_spl ),
inference(split_clause,[status(thm)],[f1028,f3422,f3524,f2122]) ).
fof(f3529,definition,
( sQ354_spl
<=> sP98_prd ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f3532,plain,
( sQ354_spl
| sQ353_spl
| ~ sQ341_spl ),
inference(split_clause,[status(thm)],[f1029,f3422,f3524,f3529]) ).
fof(f3533,definition,
( sQ355_spl
<=> sP99_prd ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f3537,plain,
( ~ sQ66_spl
| ~ sQ72_spl
| sQ353_spl
| ~ sQ341_spl ),
inference(split_clause,[status(thm)],[f1031,f3422,f3524,f2116,f2096]) ).
fof(f3538,plain,
( ~ sQ67_spl
| ~ sQ76_spl
| sQ353_spl
| ~ sQ341_spl ),
inference(split_clause,[status(thm)],[f1032,f3422,f3524,f2129,f2099]) ).
fof(f3544,plain,
( ~ sQ84_spl
| ~ sQ81_spl
| ~ sQ342_spl ),
inference(split_clause,[status(thm)],[f1039,f3427,f2145,f2155]) ).
fof(f3545,plain,
( sQ81_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f1040,f3427,f2145]) ).
fof(f3548,plain,
( sQ85_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f1044,f3431,f2158]) ).
fof(f3550,definition,
( sQ356_spl
<=> sP100_prd ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f3553,plain,
( sQ23_spl
| sQ356_spl
| ~ sQ344_spl ),
inference(split_clause,[status(thm)],[f1052,f3448,f3550,f1924]) ).
fof(f3554,definition,
( sQ357_spl
<=> sP101_prd ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f3558,definition,
( sQ358_spl
<=> sP102_prd ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f3564,plain,
( ~ sQ356_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f1057,f3448,f3550]) ).
fof(f3570,plain,
( sQ0_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f1064,f3452,f1850]) ).
fof(f3571,plain,
( ~ sQ0_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f1065,f3452,f1850]) ).
fof(f3572,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ346_spl ),
inference(split_clause,[status(thm)],[f1067,f3456,f1915,f1905]) ).
fof(f3574,plain,
( ~ sQ17_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f1069,f3456,f1905]) ).
fof(f3575,definition,
( sQ359_spl
<=> sP103_prd ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f3578,plain,
( sQ29_spl
| sQ359_spl
| ~ sQ347_spl ),
inference(split_clause,[status(thm)],[f1076,f3473,f3575,f1944]) ).
fof(f3579,plain,
( sQ53_spl
| sQ359_spl
| ~ sQ347_spl ),
inference(split_clause,[status(thm)],[f1077,f3473,f3575,f2022]) ).
fof(f3580,definition,
( sQ360_spl
<=> sP104_prd ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f3584,definition,
( sQ361_spl
<=> sP105_prd ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f3588,plain,
( ~ sQ62_spl
| ~ sQ59_spl
| sQ359_spl
| ~ sQ347_spl ),
inference(split_clause,[status(thm)],[f1080,f3473,f3575,f2041,f2051]) ).
fof(f3589,plain,
( ~ sQ63_spl
| sQ359_spl
| ~ sQ347_spl ),
inference(split_clause,[status(thm)],[f1081,f3473,f3575,f2054]) ).
fof(f3590,plain,
( ~ sQ359_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f1082,f3473,f3575]) ).
fof(f3595,plain,
( ~ sQ0_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f1088,f3478,f1850]) ).
fof(f3596,plain,
( sQ0_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f1089,f3478,f1850]) ).
fof(f3599,plain,
( sQ4_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f1093,f3482,f1863]) ).
fof(f3600,plain,
( sQ1_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f1094,f3482,f1853]) ).
fof(f3601,definition,
( sQ362_spl
<=> sP106_prd ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f3604,plain,
( sQ87_spl
| sQ362_spl
| ~ sQ350_spl ),
inference(split_clause,[status(thm)],[f1101,f3499,f3601,f2164]) ).
fof(f3605,definition,
( sQ363_spl
<=> sP107_prd ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f3609,definition,
( sQ364_spl
<=> sP108_prd ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f3615,plain,
( ~ sQ362_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f1106,f3499,f3601]) ).
fof(f3621,plain,
( sQ64_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f1113,f3503,f2090]) ).
fof(f3623,plain,
( sQ81_spl
| ~ sQ84_spl
| ~ sQ352_spl ),
inference(split_clause,[status(thm)],[f1116,f3507,f2155,f2145]) ).
fof(f3625,plain,
( ~ sQ81_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f1118,f3507,f2145]) ).
fof(f3626,definition,
( sQ365_spl
<=> sP109_prd ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f3629,plain,
( sQ93_spl
| sQ365_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f1125,f3524,f3626,f2184]) ).
fof(f3630,plain,
( sQ117_spl
| sQ365_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f1126,f3524,f3626,f2262]) ).
fof(f3631,definition,
( sQ366_spl
<=> sP110_prd ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f3635,definition,
( sQ367_spl
<=> sP111_prd ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f3639,plain,
( ~ sQ126_spl
| ~ sQ123_spl
| sQ365_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f1129,f3524,f3626,f2281,f2291]) ).
fof(f3640,plain,
( ~ sQ127_spl
| sQ365_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f1130,f3524,f3626,f2294]) ).
fof(f3646,plain,
( ~ sQ64_spl
| ~ sQ354_spl ),
inference(split_clause,[status(thm)],[f1137,f3529,f2090]) ).
fof(f3647,plain,
( sQ64_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f1138,f3529,f2090]) ).
fof(f3650,plain,
( sQ68_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f1142,f3533,f2103]) ).
fof(f3652,definition,
( sQ368_spl
<=> sP112_prd ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f3655,plain,
( sQ22_spl
| sQ368_spl
| ~ sQ356_spl ),
inference(split_clause,[status(thm)],[f1150,f3550,f3652,f1921]) ).
fof(f3656,definition,
( sQ369_spl
<=> sP113_prd ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f3660,definition,
( sQ370_spl
<=> sP114_prd ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f3666,plain,
( ~ sQ368_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f1155,f3550,f3652]) ).
fof(f3671,plain,
( sQ12_spl
| ~ sQ3_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f1161,f3554,f1859,f1889]) ).
fof(f3672,plain,
( sQ3_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f1162,f3554,f1859]) ).
fof(f3673,plain,
( ~ sQ12_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f1163,f3554,f1889]) ).
fof(f3675,plain,
( sQ23_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f1166,f3558,f1924]) ).
fof(f3677,definition,
( sQ371_spl
<=> sP115_prd ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f3680,plain,
( sQ25_spl
| sQ371_spl
| ~ sQ359_spl ),
inference(split_clause,[status(thm)],[f1174,f3575,f3677,f1931]) ).
fof(f3682,definition,
( sQ372_spl
<=> sP116_prd ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f3686,definition,
( sQ373_spl
<=> sP117_prd ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f3692,plain,
( ~ sQ371_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f1180,f3575,f3677]) ).
fof(f3698,plain,
( sQ51_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f1187,f3580,f2015]) ).
fof(f3699,plain,
( sQ60_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f1188,f3580,f2045]) ).
fof(f3701,plain,
( sQ55_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f1191,f3584,f2028]) ).
fof(f3703,definition,
( sQ374_spl
<=> sP118_prd ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f3706,plain,
( sQ86_spl
| sQ374_spl
| ~ sQ362_spl ),
inference(split_clause,[status(thm)],[f1199,f3601,f3703,f2161]) ).
fof(f3707,definition,
( sQ375_spl
<=> sP119_prd ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f3711,definition,
( sQ376_spl
<=> sP120_prd ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f3717,plain,
( ~ sQ374_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f1204,f3601,f3703]) ).
fof(f3722,plain,
( sQ76_spl
| ~ sQ67_spl
| ~ sQ363_spl ),
inference(split_clause,[status(thm)],[f1210,f3605,f2099,f2129]) ).
fof(f3723,plain,
( sQ67_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f1211,f3605,f2099]) ).
fof(f3726,plain,
( sQ87_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f1215,f3609,f2164]) ).
fof(f3728,definition,
( sQ377_spl
<=> sP121_prd ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f3731,plain,
( sQ89_spl
| sQ377_spl
| ~ sQ365_spl ),
inference(split_clause,[status(thm)],[f1223,f3626,f3728,f2171]) ).
fof(f3733,definition,
( sQ378_spl
<=> sP122_prd ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f3737,definition,
( sQ379_spl
<=> sP123_prd ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f3749,plain,
( sQ115_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f1236,f3631,f2255]) ).
fof(f3750,plain,
( sQ124_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f1237,f3631,f2285]) ).
fof(f3752,plain,
( sQ119_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f1240,f3635,f2268]) ).
fof(f3753,plain,
( sQ125_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f1241,f3635,f2288]) ).
fof(f3754,definition,
( sQ380_spl
<=> sP124_prd ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f3757,plain,
( sQ21_spl
| sQ380_spl
| ~ sQ368_spl ),
inference(split_clause,[status(thm)],[f1248,f3652,f3754,f1918]) ).
fof(f3758,definition,
( sQ381_spl
<=> sP125_prd ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f3762,definition,
( sQ382_spl
<=> sP126_prd ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f3768,plain,
( ~ sQ380_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f1253,f3652,f3754]) ).
fof(f3773,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ369_spl ),
inference(split_clause,[status(thm)],[f1259,f3656,f1856,f1876]) ).
fof(f3774,plain,
( sQ2_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f1260,f3656,f1856]) ).
fof(f3775,plain,
( ~ sQ8_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f1261,f3656,f1876]) ).
fof(f3777,plain,
( sQ22_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f1264,f3660,f1921]) ).
fof(f3779,definition,
( sQ383_spl
<=> sP127_prd ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f3782,plain,
( sQ21_spl
| sQ383_spl
| ~ sQ371_spl ),
inference(split_clause,[status(thm)],[f1272,f3677,f3779,f1918]) ).
fof(f3784,definition,
( sQ384_spl
<=> sP128_prd ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f3788,definition,
( sQ385_spl
<=> sP129_prd ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f3794,plain,
( ~ sQ383_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f1278,f3677,f3779]) ).
fof(f3801,plain,
( sQ40_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f1286,f3682,f1980]) ).
fof(f3803,plain,
( sQ38_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f1289,f3686,f1973]) ).
fof(f3805,definition,
( sQ386_spl
<=> sP130_prd ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f3808,plain,
( sQ85_spl
| sQ386_spl
| ~ sQ374_spl ),
inference(split_clause,[status(thm)],[f1297,f3703,f3805,f2158]) ).
fof(f3809,definition,
( sQ387_spl
<=> sP131_prd ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f3813,definition,
( sQ388_spl
<=> sP132_prd ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f3819,plain,
( ~ sQ386_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f1302,f3703,f3805]) ).
fof(f3824,plain,
( sQ72_spl
| ~ sQ66_spl
| ~ sQ375_spl ),
inference(split_clause,[status(thm)],[f1308,f3707,f2096,f2116]) ).
fof(f3825,plain,
( sQ66_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f1309,f3707,f2096]) ).
fof(f3826,plain,
( ~ sQ72_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f1310,f3707,f2116]) ).
fof(f3828,plain,
( sQ86_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f1313,f3711,f2161]) ).
fof(f3830,definition,
( sQ389_spl
<=> sP133_prd ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f3833,plain,
( sQ85_spl
| sQ389_spl
| ~ sQ377_spl ),
inference(split_clause,[status(thm)],[f1321,f3728,f3830,f2158]) ).
fof(f3835,definition,
( sQ390_spl
<=> sP134_prd ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f3839,definition,
( sQ391_spl
<=> sP135_prd ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f3852,plain,
( sQ104_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f1335,f3733,f2220]) ).
fof(f3854,plain,
( sQ102_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f1338,f3737,f2213]) ).
fof(f3856,definition,
( sQ392_spl
<=> sP136_prd ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f3860,definition,
( sQ393_spl
<=> sP137_prd ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f3863,plain,
( sQ393_spl
| sQ392_spl
| ~ sQ380_spl ),
inference(split_clause,[status(thm)],[f1347,f3754,f3856,f3860]) ).
fof(f3864,definition,
( sQ394_spl
<=> sP138_prd ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f3867,plain,
( sQ394_spl
| sQ392_spl
| ~ sQ380_spl ),
inference(split_clause,[status(thm)],[f1348,f3754,f3856,f3864]) ).
fof(f3869,plain,
( sQ51_spl
| ~ sQ60_spl
| sQ392_spl
| ~ sQ380_spl ),
inference(split_clause,[status(thm)],[f1350,f3754,f3856,f2045,f2015]) ).
fof(f3870,plain,
( ~ sQ392_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f1351,f3754,f3856]) ).
fof(f3871,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ394_spl
| ~ sQ393_spl
| ~ sQ20_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f1352,f3754,f1915,f3860,f3864,f1980,f2045]) ).
fof(f3872,plain,
( ~ sQ51_spl
| sQ40_spl
| ~ sQ394_spl
| ~ sQ393_spl
| ~ sQ20_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f1353,f3754,f1915,f3860,f3864,f1980,f2015]) ).
fof(f3873,plain,
( sQ60_spl
| ~ sQ34_spl
| ~ sQ394_spl
| ~ sQ393_spl
| ~ sQ20_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f1354,f3754,f1915,f3860,f3864,f1960,f2045]) ).
fof(f3876,plain,
( sQ1_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f1358,f3758,f1853]) ).
fof(f3879,plain,
( sQ21_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f1362,f3762,f1918]) ).
fof(f3881,definition,
( sQ395_spl
<=> sP139_prd ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f3884,plain,
( sQ17_spl
| sQ395_spl
| ~ sQ383_spl ),
inference(split_clause,[status(thm)],[f1370,f3779,f3881,f1905]) ).
fof(f3885,plain,
( sQ5_spl
| sQ395_spl
| ~ sQ383_spl ),
inference(split_clause,[status(thm)],[f1371,f3779,f3881,f1866]) ).
fof(f3886,definition,
( sQ396_spl
<=> sP140_prd ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f3889,plain,
( sQ396_spl
| sQ395_spl
| ~ sQ383_spl ),
inference(split_clause,[status(thm)],[f1372,f3779,f3881,f3886]) ).
fof(f3890,definition,
( sQ397_spl
<=> sP141_prd ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f3894,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| sQ395_spl
| ~ sQ383_spl ),
inference(split_clause,[status(thm)],[f1374,f3779,f3881,f1876,f1856]) ).
fof(f3895,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sQ395_spl
| ~ sQ383_spl ),
inference(split_clause,[status(thm)],[f1375,f3779,f3881,f1889,f1859]) ).
fof(f3896,plain,
( ~ sQ395_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f1376,f3779,f3881]) ).
fof(f3898,plain,
( sQ3_spl
| sQ8_spl
| ~ sQ397_spl
| ~ sQ396_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f1378,f3779,f1905,f1866,f3886,f3890,f1876,f1859]) ).
fof(f3899,plain,
( sQ12_spl
| sQ2_spl
| ~ sQ397_spl
| ~ sQ396_spl
| ~ sQ5_spl
| ~ sQ17_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f1379,f3779,f1905,f1866,f3886,f3890,f1856,f1889]) ).
fof(f3901,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ384_spl ),
inference(split_clause,[status(thm)],[f1382,f3784,f1905,f1915]) ).
fof(f3902,plain,
( sQ17_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f1383,f3784,f1905]) ).
fof(f3905,plain,
( sQ21_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f1387,f3788,f1918]) ).
fof(f3907,definition,
( sQ398_spl
<=> sP142_prd ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f3911,definition,
( sQ399_spl
<=> sP143_prd ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f3914,plain,
( sQ399_spl
| sQ398_spl
| ~ sQ386_spl ),
inference(split_clause,[status(thm)],[f1396,f3805,f3907,f3911]) ).
fof(f3915,definition,
( sQ400_spl
<=> sP144_prd ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f3918,plain,
( sQ400_spl
| sQ398_spl
| ~ sQ386_spl ),
inference(split_clause,[status(thm)],[f1397,f3805,f3907,f3915]) ).
fof(f3920,plain,
( sQ115_spl
| ~ sQ124_spl
| sQ398_spl
| ~ sQ386_spl ),
inference(split_clause,[status(thm)],[f1399,f3805,f3907,f2285,f2255]) ).
fof(f3921,plain,
( ~ sQ398_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f1400,f3805,f3907]) ).
fof(f3922,plain,
( sQ124_spl
| sQ104_spl
| ~ sQ400_spl
| ~ sQ399_spl
| ~ sQ84_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f1401,f3805,f2155,f3911,f3915,f2220,f2285]) ).
fof(f3923,plain,
( ~ sQ115_spl
| sQ104_spl
| ~ sQ400_spl
| ~ sQ399_spl
| ~ sQ84_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f1402,f3805,f2155,f3911,f3915,f2220,f2255]) ).
fof(f3926,plain,
( sQ68_spl
| ~ sQ65_spl
| ~ sQ387_spl ),
inference(split_clause,[status(thm)],[f1406,f3809,f2093,f2103]) ).
fof(f3927,plain,
( sQ65_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f1407,f3809,f2093]) ).
fof(f3930,plain,
( sQ85_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f1411,f3813,f2158]) ).
fof(f3932,definition,
( sQ401_spl
<=> sP145_prd ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f3935,plain,
( sQ81_spl
| sQ401_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1419,f3830,f3932,f2145]) ).
fof(f3936,plain,
( sQ69_spl
| sQ401_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1420,f3830,f3932,f2106]) ).
fof(f3937,definition,
( sQ402_spl
<=> sP146_prd ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f3940,plain,
( sQ402_spl
| sQ401_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1421,f3830,f3932,f3937]) ).
fof(f3941,definition,
( sQ403_spl
<=> sP147_prd ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f3945,plain,
( ~ sQ66_spl
| ~ sQ72_spl
| sQ401_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1423,f3830,f3932,f2116,f2096]) ).
fof(f3946,plain,
( ~ sQ67_spl
| ~ sQ76_spl
| sQ401_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1424,f3830,f3932,f2129,f2099]) ).
fof(f3952,plain,
( ~ sQ84_spl
| ~ sQ81_spl
| ~ sQ390_spl ),
inference(split_clause,[status(thm)],[f1431,f3835,f2145,f2155]) ).
fof(f3953,plain,
( sQ81_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f1432,f3835,f2145]) ).
fof(f3956,plain,
( sQ85_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f1436,f3839,f2158]) ).
fof(f3958,definition,
( sQ404_spl
<=> sP148_prd ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f3961,plain,
( sQ3_spl
| sQ404_spl
| ~ sQ392_spl ),
inference(split_clause,[status(thm)],[f1444,f3856,f3958,f1859]) ).
fof(f3962,definition,
( sQ405_spl
<=> sP149_prd ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f3965,plain,
( sQ405_spl
| sQ404_spl
| ~ sQ392_spl ),
inference(split_clause,[status(thm)],[f1445,f3856,f3958,f3962]) ).
fof(f3966,definition,
( sQ406_spl
<=> sP150_prd ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f3972,plain,
( ~ sQ404_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f1449,f3856,f3958]) ).
fof(f3974,plain,
( ~ sQ63_spl
| sQ43_spl
| ~ sQ406_spl
| ~ sQ405_spl
| ~ sQ3_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f1451,f3856,f1859,f3962,f3966,f1989,f2054]) ).
fof(f3976,plain,
( ~ sQ63_spl
| ~ sQ46_spl
| ~ sQ406_spl
| ~ sQ405_spl
| ~ sQ3_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f1453,f3856,f1859,f3962,f3966,f1999,f2054]) ).
fof(f3978,plain,
( sQ0_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f1456,f3860,f1850]) ).
fof(f3979,plain,
( ~ sQ0_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f1457,f3860,f1850]) ).
fof(f3980,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ394_spl ),
inference(split_clause,[status(thm)],[f1459,f3864,f1915,f1905]) ).
fof(f3982,plain,
( ~ sQ17_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f1461,f3864,f1905]) ).
fof(f3983,definition,
( sQ407_spl
<=> sP151_prd ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f3986,plain,
( sQ12_spl
| sQ407_spl
| ~ sQ395_spl ),
inference(split_clause,[status(thm)],[f1468,f3881,f3983,f1889]) ).
fof(f3987,plain,
( sQ48_spl
| sQ407_spl
| ~ sQ395_spl ),
inference(split_clause,[status(thm)],[f1469,f3881,f3983,f2006]) ).
fof(f3988,definition,
( sQ408_spl
<=> sP152_prd ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f3992,definition,
( sQ409_spl
<=> sP153_prd ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f3996,plain,
( ~ sQ62_spl
| ~ sQ59_spl
| sQ407_spl
| ~ sQ395_spl ),
inference(split_clause,[status(thm)],[f1472,f3881,f3983,f2041,f2051]) ).
fof(f3997,plain,
( ~ sQ63_spl
| sQ407_spl
| ~ sQ395_spl ),
inference(split_clause,[status(thm)],[f1473,f3881,f3983,f2054]) ).
fof(f3998,plain,
( ~ sQ407_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f1474,f3881,f3983]) ).
fof(f4003,plain,
( ~ sQ0_spl
| ~ sQ396_spl ),
inference(split_clause,[status(thm)],[f1480,f3886,f1850]) ).
fof(f4004,plain,
( sQ0_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f1481,f3886,f1850]) ).
fof(f4007,plain,
( sQ4_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f1485,f3890,f1863]) ).
fof(f4008,plain,
( sQ1_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f1486,f3890,f1853]) ).
fof(f4009,definition,
( sQ410_spl
<=> sP154_prd ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f4012,plain,
( sQ67_spl
| sQ410_spl
| ~ sQ398_spl ),
inference(split_clause,[status(thm)],[f1493,f3907,f4009,f2099]) ).
fof(f4013,definition,
( sQ411_spl
<=> sP155_prd ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f4016,plain,
( sQ411_spl
| sQ410_spl
| ~ sQ398_spl ),
inference(split_clause,[status(thm)],[f1494,f3907,f4009,f4013]) ).
fof(f4017,definition,
( sQ412_spl
<=> sP156_prd ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f4023,plain,
( ~ sQ410_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f1498,f3907,f4009]) ).
fof(f4024,plain,
( sQ127_spl
| sQ107_spl
| ~ sQ412_spl
| ~ sQ411_spl
| ~ sQ67_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f1499,f3907,f2099,f4013,f4017,f2229,f2294]) ).
fof(f4025,plain,
( ~ sQ127_spl
| sQ107_spl
| ~ sQ412_spl
| ~ sQ411_spl
| ~ sQ67_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f1500,f3907,f2099,f4013,f4017,f2229,f2294]) ).
fof(f4029,plain,
( sQ64_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f1505,f3911,f2090]) ).
fof(f4030,plain,
( ~ sQ64_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f1506,f3911,f2090]) ).
fof(f4031,plain,
( sQ81_spl
| ~ sQ84_spl
| ~ sQ400_spl ),
inference(split_clause,[status(thm)],[f1508,f3915,f2155,f2145]) ).
fof(f4033,plain,
( ~ sQ81_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f1510,f3915,f2145]) ).
fof(f4034,definition,
( sQ413_spl
<=> sP157_prd ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f4037,plain,
( sQ76_spl
| sQ413_spl
| ~ sQ401_spl ),
inference(split_clause,[status(thm)],[f1517,f3932,f4034,f2129]) ).
fof(f4038,plain,
( sQ112_spl
| sQ413_spl
| ~ sQ401_spl ),
inference(split_clause,[status(thm)],[f1518,f3932,f4034,f2246]) ).
fof(f4039,definition,
( sQ414_spl
<=> sP158_prd ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f4043,definition,
( sQ415_spl
<=> sP159_prd ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f4048,plain,
( ~ sQ127_spl
| sQ413_spl
| ~ sQ401_spl ),
inference(split_clause,[status(thm)],[f1522,f3932,f4034,f2294]) ).
fof(f4054,plain,
( ~ sQ64_spl
| ~ sQ402_spl ),
inference(split_clause,[status(thm)],[f1529,f3937,f2090]) ).
fof(f4055,plain,
( sQ64_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f1530,f3937,f2090]) ).
fof(f4058,plain,
( sQ68_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f1534,f3941,f2103]) ).
fof(f4060,definition,
( sQ416_spl
<=> sP160_prd ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f4063,plain,
( sQ2_spl
| sQ416_spl
| ~ sQ404_spl ),
inference(split_clause,[status(thm)],[f1542,f3958,f4060,f1856]) ).
fof(f4064,definition,
( sQ417_spl
<=> sP161_prd ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f4067,plain,
( sQ417_spl
| sQ416_spl
| ~ sQ404_spl ),
inference(split_clause,[status(thm)],[f1543,f3958,f4060,f4064]) ).
fof(f4068,definition,
( sQ418_spl
<=> sP162_prd ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f4074,plain,
( ~ sQ416_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f1547,f3958,f4060]) ).
fof(f4075,plain,
( sQ62_spl
| sQ42_spl
| ~ sQ418_spl
| ~ sQ417_spl
| ~ sQ2_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f1548,f3958,f1856,f4064,f4068,f1986,f2051]) ).
fof(f4076,plain,
( ~ sQ59_spl
| sQ42_spl
| ~ sQ418_spl
| ~ sQ417_spl
| ~ sQ2_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f1549,f3958,f1856,f4064,f4068,f1986,f2041]) ).
fof(f4079,plain,
( sQ12_spl
| ~ sQ3_spl
| ~ sQ405_spl ),
inference(split_clause,[status(thm)],[f1553,f3962,f1859,f1889]) ).
fof(f4080,plain,
( sQ3_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f1554,f3962,f1859]) ).
fof(f4081,plain,
( ~ sQ12_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f1555,f3962,f1889]) ).
fof(f4083,plain,
( sQ23_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f1558,f3966,f1924]) ).
fof(f4085,definition,
( sQ419_spl
<=> sP163_prd ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f4088,plain,
( sQ8_spl
| sQ419_spl
| ~ sQ407_spl ),
inference(split_clause,[status(thm)],[f1566,f3983,f4085,f1876]) ).
fof(f4089,plain,
( sQ32_spl
| sQ419_spl
| ~ sQ407_spl ),
inference(split_clause,[status(thm)],[f1567,f3983,f4085,f1954]) ).
fof(f4090,definition,
( sQ420_spl
<=> sP164_prd ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f4094,definition,
( sQ421_spl
<=> sP165_prd ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f4100,plain,
( ~ sQ419_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f1572,f3983,f4085]) ).
fof(f4102,plain,
( sQ43_spl
| sQ42_spl
| ~ sQ421_spl
| ~ sQ420_spl
| ~ sQ32_spl
| ~ sQ8_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f1574,f3983,f1876,f1954,f4090,f4094,f1986,f1989]) ).
fof(f4106,plain,
( sQ51_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f1579,f3988,f2015]) ).
fof(f4107,plain,
( sQ60_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f1580,f3988,f2045]) ).
fof(f4109,plain,
( sQ55_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f1583,f3992,f2028]) ).
fof(f4111,definition,
( sQ422_spl
<=> sP166_prd ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f4114,plain,
( sQ66_spl
| sQ422_spl
| ~ sQ410_spl ),
inference(split_clause,[status(thm)],[f1591,f4009,f4111,f2096]) ).
fof(f4115,definition,
( sQ423_spl
<=> sP167_prd ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f4118,plain,
( sQ423_spl
| sQ422_spl
| ~ sQ410_spl ),
inference(split_clause,[status(thm)],[f1592,f4009,f4111,f4115]) ).
fof(f4119,definition,
( sQ424_spl
<=> sP168_prd ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f4126,plain,
( sQ126_spl
| sQ106_spl
| ~ sQ424_spl
| ~ sQ423_spl
| ~ sQ66_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f1597,f4009,f2096,f4115,f4119,f2226,f2291]) ).
fof(f4130,plain,
( sQ76_spl
| ~ sQ67_spl
| ~ sQ411_spl ),
inference(split_clause,[status(thm)],[f1602,f4013,f2099,f2129]) ).
fof(f4131,plain,
( sQ67_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f1603,f4013,f2099]) ).
fof(f4132,plain,
( ~ sQ76_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f1604,f4013,f2129]) ).
fof(f4134,plain,
( sQ87_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f1607,f4017,f2164]) ).
fof(f4136,definition,
( sQ425_spl
<=> sP169_prd ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f4139,plain,
( sQ72_spl
| sQ425_spl
| ~ sQ413_spl ),
inference(split_clause,[status(thm)],[f1615,f4034,f4136,f2116]) ).
fof(f4140,plain,
( sQ96_spl
| sQ425_spl
| ~ sQ413_spl ),
inference(split_clause,[status(thm)],[f1616,f4034,f4136,f2194]) ).
fof(f4141,definition,
( sQ426_spl
<=> sP170_prd ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f4145,definition,
( sQ427_spl
<=> sP171_prd ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f4157,plain,
( sQ115_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f1628,f4039,f2255]) ).
fof(f4158,plain,
( sQ124_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f1629,f4039,f2285]) ).
fof(f4160,plain,
( sQ119_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f1632,f4043,f2268]) ).
fof(f4161,plain,
( sQ125_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f1633,f4043,f2288]) ).
fof(f4162,definition,
( sQ428_spl
<=> sP172_prd ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f4165,plain,
( sQ1_spl
| sQ428_spl
| ~ sQ416_spl ),
inference(split_clause,[status(thm)],[f1640,f4060,f4162,f1853]) ).
fof(f4166,definition,
( sQ429_spl
<=> sP173_prd ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f4170,definition,
( sQ430_spl
<=> sP174_prd ),
introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition]) ).
fof(f4174,plain,
( sQ38_spl
| ~ sQ41_spl
| sQ428_spl
| ~ sQ416_spl ),
inference(split_clause,[status(thm)],[f1643,f4060,f4162,f1983,f1973]) ).
fof(f4176,plain,
( ~ sQ428_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f1645,f4060,f4162]) ).
fof(f4181,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ417_spl ),
inference(split_clause,[status(thm)],[f1651,f4064,f1856,f1876]) ).
fof(f4182,plain,
( sQ2_spl
| sQ417_spl ),
inference(split_clause,[status(thm)],[f1652,f4064,f1856]) ).
fof(f4183,plain,
( ~ sQ8_spl
| sQ417_spl ),
inference(split_clause,[status(thm)],[f1653,f4064,f1876]) ).
fof(f4185,plain,
( sQ22_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f1656,f4068,f1921]) ).
fof(f4187,definition,
( sQ431_spl
<=> sP175_prd ),
introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition]) ).
fof(f4191,plain,
( sQ16_spl
| sQ431_spl
| ~ sQ419_spl ),
inference(split_clause,[status(thm)],[f1665,f4085,f4187,f1902]) ).
fof(f4192,definition,
( sQ432_spl
<=> sP176_prd ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f4196,definition,
( sQ433_spl
<=> sP177_prd ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f4202,plain,
( ~ sQ431_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f1670,f4085,f4187]) ).
fof(f4209,plain,
( sQ40_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f1678,f4090,f1980]) ).
fof(f4211,plain,
( sQ38_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f1681,f4094,f1973]) ).
fof(f4213,definition,
( sQ434_spl
<=> sP178_prd ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f4216,plain,
( sQ65_spl
| sQ434_spl
| ~ sQ422_spl ),
inference(split_clause,[status(thm)],[f1689,f4111,f4213,f2093]) ).
fof(f4217,definition,
( sQ435_spl
<=> sP179_prd ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f4220,plain,
( sQ435_spl
| sQ434_spl
| ~ sQ422_spl ),
inference(split_clause,[status(thm)],[f1690,f4111,f4213,f4217]) ).
fof(f4221,definition,
( sQ436_spl
<=> sP180_prd ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f4225,plain,
( sQ102_spl
| ~ sQ105_spl
| sQ434_spl
| ~ sQ422_spl ),
inference(split_clause,[status(thm)],[f1692,f4111,f4213,f2223,f2213]) ).
fof(f4227,plain,
( ~ sQ434_spl
| sQ422_spl ),
inference(split_clause,[status(thm)],[f1694,f4111,f4213]) ).
fof(f4232,plain,
( sQ72_spl
| ~ sQ66_spl
| ~ sQ423_spl ),
inference(split_clause,[status(thm)],[f1700,f4115,f2096,f2116]) ).
fof(f4233,plain,
( sQ66_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f1701,f4115,f2096]) ).
fof(f4234,plain,
( ~ sQ72_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f1702,f4115,f2116]) ).
fof(f4236,plain,
( sQ86_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f1705,f4119,f2161]) ).
fof(f4238,definition,
( sQ437_spl
<=> sP181_prd ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f4241,plain,
( sQ68_spl
| sQ437_spl
| ~ sQ425_spl ),
inference(split_clause,[status(thm)],[f1713,f4136,f4238,f2103]) ).
fof(f4243,definition,
( sQ438_spl
<=> sP182_prd ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f4247,definition,
( sQ439_spl
<=> sP183_prd ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f4260,plain,
( sQ104_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f1727,f4141,f2220]) ).
fof(f4262,plain,
( sQ102_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f1730,f4145,f2213]) ).
fof(f4264,plain,
( sQ0_spl
| ~ sQ428_spl ),
inference(split_clause,[status(thm)],[f1736,f4162,f1850]) ).
fof(f4265,definition,
( sQ440_spl
<=> sP184_prd ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f4269,definition,
( sQ441_spl
<=> sP185_prd ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f4272,plain,
( sQ441_spl
| ~ sQ428_spl ),
inference(split_clause,[status(thm)],[f1738,f4162,f4269]) ).
fof(f4274,plain,
( sQ51_spl
| ~ sQ60_spl
| ~ sQ428_spl ),
inference(split_clause,[status(thm)],[f1740,f4162,f2045,f2015]) ).
fof(f4275,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ441_spl
| ~ sQ440_spl
| ~ sQ0_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f1741,f4162,f1850,f4265,f4269,f1980,f2045]) ).
fof(f4280,plain,
( sQ1_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f1747,f4166,f1853]) ).
fof(f4283,plain,
( sQ21_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f1751,f4170,f1918]) ).
fof(f4285,plain,
( sQ0_spl
| ~ sQ431_spl ),
inference(split_clause,[status(thm)],[f1757,f4187,f1850]) ).
fof(f4287,definition,
( sQ442_spl
<=> sP186_prd ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f4290,plain,
( sQ442_spl
| ~ sQ431_spl ),
inference(split_clause,[status(thm)],[f1759,f4187,f4287]) ).
fof(f4291,definition,
( sQ443_spl
<=> sP187_prd ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f4296,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| ~ sQ431_spl ),
inference(split_clause,[status(thm)],[f1762,f4187,f1889,f1859]) ).
fof(f4301,plain,
( ~ sQ20_spl
| ~ sQ17_spl
| ~ sQ432_spl ),
inference(split_clause,[status(thm)],[f1768,f4192,f1905,f1915]) ).
fof(f4302,plain,
( sQ17_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f1769,f4192,f1905]) ).
fof(f4305,plain,
( sQ21_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f1773,f4196,f1918]) ).
fof(f4307,plain,
( sQ64_spl
| ~ sQ434_spl ),
inference(split_clause,[status(thm)],[f1779,f4213,f2090]) ).
fof(f4308,definition,
( sQ444_spl
<=> sP188_prd ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f4312,definition,
( sQ445_spl
<=> sP189_prd ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f4315,plain,
( sQ445_spl
| ~ sQ434_spl ),
inference(split_clause,[status(thm)],[f1781,f4213,f4312]) ).
fof(f4317,plain,
( sQ115_spl
| ~ sQ124_spl
| ~ sQ434_spl ),
inference(split_clause,[status(thm)],[f1783,f4213,f2285,f2255]) ).
fof(f4318,plain,
( sQ124_spl
| sQ104_spl
| ~ sQ445_spl
| ~ sQ444_spl
| ~ sQ64_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f1784,f4213,f2090,f4308,f4312,f2220,f2285]) ).
fof(f4319,plain,
( ~ sQ115_spl
| sQ104_spl
| ~ sQ445_spl
| ~ sQ444_spl
| ~ sQ64_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f1785,f4213,f2090,f4308,f4312,f2220,f2255]) ).
fof(f4322,plain,
( sQ68_spl
| ~ sQ65_spl
| ~ sQ435_spl ),
inference(split_clause,[status(thm)],[f1789,f4217,f2093,f2103]) ).
fof(f4323,plain,
( sQ65_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f1790,f4217,f2093]) ).
fof(f4326,plain,
( sQ85_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f1794,f4221,f2158]) ).
fof(f4328,plain,
( sQ64_spl
| ~ sQ437_spl ),
inference(split_clause,[status(thm)],[f1800,f4238,f2090]) ).
fof(f4330,definition,
( sQ446_spl
<=> sP190_prd ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f4333,plain,
( sQ446_spl
| ~ sQ437_spl ),
inference(split_clause,[status(thm)],[f1802,f4238,f4330]) ).
fof(f4334,definition,
( sQ447_spl
<=> sP191_prd ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f4338,plain,
( ~ sQ66_spl
| ~ sQ72_spl
| ~ sQ437_spl ),
inference(split_clause,[status(thm)],[f1804,f4238,f2116,f2096]) ).
fof(f4339,plain,
( ~ sQ67_spl
| ~ sQ76_spl
| ~ sQ437_spl ),
inference(split_clause,[status(thm)],[f1805,f4238,f2129,f2099]) ).
fof(f4344,plain,
( ~ sQ84_spl
| ~ sQ81_spl
| ~ sQ438_spl ),
inference(split_clause,[status(thm)],[f1811,f4243,f2145,f2155]) ).
fof(f4345,plain,
( sQ81_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f1812,f4243,f2145]) ).
fof(f4348,plain,
( sQ85_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f1816,f4247,f2158]) ).
fof(f4351,plain,
( sQ0_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f1820,f4265,f1850]) ).
fof(f4352,plain,
( ~ sQ0_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f1821,f4265,f1850]) ).
fof(f4353,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ441_spl ),
inference(split_clause,[status(thm)],[f1823,f4269,f1915,f1905]) ).
fof(f4355,plain,
( ~ sQ17_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f1825,f4269,f1905]) ).
fof(f4356,plain,
( ~ sQ0_spl
| ~ sQ442_spl ),
inference(split_clause,[status(thm)],[f1827,f4287,f1850]) ).
fof(f4357,plain,
( sQ0_spl
| sQ442_spl ),
inference(split_clause,[status(thm)],[f1828,f4287,f1850]) ).
fof(f4360,plain,
( sQ4_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f1832,f4291,f1863]) ).
fof(f4361,plain,
( sQ1_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f1833,f4291,f1853]) ).
fof(f4363,plain,
( sQ64_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f1836,f4308,f2090]) ).
fof(f4364,plain,
( ~ sQ64_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f1837,f4308,f2090]) ).
fof(f4365,plain,
( sQ81_spl
| ~ sQ84_spl
| ~ sQ445_spl ),
inference(split_clause,[status(thm)],[f1839,f4312,f2155,f2145]) ).
fof(f4367,plain,
( ~ sQ81_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f1841,f4312,f2145]) ).
fof(f4368,plain,
( ~ sQ64_spl
| ~ sQ446_spl ),
inference(split_clause,[status(thm)],[f1843,f4330,f2090]) ).
fof(f4369,plain,
( sQ64_spl
| sQ446_spl ),
inference(split_clause,[status(thm)],[f1844,f4330,f2090]) ).
fof(f4372,plain,
( sQ68_spl
| sQ447_spl ),
inference(split_clause,[status(thm)],[f1848,f4334,f2103]) ).
fof(f4374,plain,
e10 = op1(op1(e12,e12),e11),
inference(backward_demodulation,[status(thm)],[f269,f268]) ).
fof(f4375,plain,
e11 != op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f269,f157]) ).
fof(f4377,plain,
op1(e12,e10) != e11,
inference(backward_demodulation,[status(thm)],[f269,f153]) ).
fof(f4378,plain,
e11 != op1(e13,e12),
inference(backward_demodulation,[status(thm)],[f269,f133]) ).
fof(f4379,plain,
op1(e11,e12) != e11,
inference(backward_demodulation,[status(thm)],[f269,f131]) ).
fof(f4380,plain,
op1(e10,e12) != e11,
inference(backward_demodulation,[status(thm)],[f269,f129]) ).
fof(f4381,plain,
e13 != op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f4386,f156]) ).
fof(f4382,plain,
op1(e12,e10) != e13,
inference(backward_demodulation,[status(thm)],[f4386,f152]) ).
fof(f4383,plain,
e13 != op1(e13,e11),
inference(backward_demodulation,[status(thm)],[f4386,f127]) ).
fof(f4386,plain,
e13 = op1(e12,e11),
inference(forward_demodulation,[status(thm)],[f269,f270]) ).
fof(f4387,plain,
e20 = op2(op2(e22,e22),e21),
inference(backward_demodulation,[status(thm)],[f272,f271]) ).
fof(f4388,plain,
e21 != op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f272,f205]) ).
fof(f4389,plain,
op2(e22,e21) != e21,
inference(backward_demodulation,[status(thm)],[f272,f203]) ).
fof(f4390,plain,
op2(e22,e20) != e21,
inference(backward_demodulation,[status(thm)],[f272,f201]) ).
fof(f4391,plain,
e21 != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f272,f181]) ).
fof(f4392,plain,
op2(e21,e22) != e21,
inference(backward_demodulation,[status(thm)],[f272,f179]) ).
fof(f4394,plain,
e23 != op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f4399,f204]) ).
fof(f4398,plain,
op2(e20,e21) != e23,
inference(backward_demodulation,[status(thm)],[f4399,f171]) ).
fof(f4399,plain,
e23 = op2(e22,e21),
inference(forward_demodulation,[status(thm)],[f272,f273]) ).
fof(f4400,plain,
h1(e10) = op2(op2(e20,e20),h1(e11)),
inference(backward_demodulation,[status(thm)],[f276,f275]) ).
fof(f4401,plain,
h1(e11) != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f276,f190]) ).
fof(f4402,plain,
h1(e11) != op2(e20,e22),
inference(backward_demodulation,[status(thm)],[f276,f189]) ).
fof(f4403,plain,
h1(e11) != op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f276,f188]) ).
fof(f4406,plain,
h1(e11) != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f276,f164]) ).
fof(f4407,plain,
h1(e13) = op2(e20,h1(e11)),
inference(forward_demodulation,[status(thm)],[f276,f277]) ).
fof(f4408,plain,
h2(e10) = op2(op2(e21,e21),h2(e11)),
inference(backward_demodulation,[status(thm)],[f280,f279]) ).
fof(f4409,plain,
h2(e11) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f280,f198]) ).
fof(f4410,plain,
h2(e11) != op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f280,f197]) ).
fof(f4411,plain,
op2(e21,e20) != h2(e11),
inference(backward_demodulation,[status(thm)],[f280,f194]) ).
fof(f4412,plain,
h2(e11) != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f280,f174]) ).
fof(f4413,plain,
op2(e20,e21) != h2(e11),
inference(backward_demodulation,[status(thm)],[f280,f170]) ).
fof(f4414,plain,
h2(e13) = op2(e21,h2(e11)),
inference(forward_demodulation,[status(thm)],[f280,f281]) ).
fof(f4415,plain,
h3(e10) = e20,
inference(forward_demodulation,[status(thm)],[f271,f283]) ).
fof(f4416,plain,
h3(e11) = e21,
inference(forward_demodulation,[status(thm)],[f272,f284]) ).
fof(f4417,plain,
h3(e13) = op2(e22,e21),
inference(forward_demodulation,[status(thm)],[f272,f285]) ).
fof(f4418,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f4399,f4417]) ).
fof(f4419,plain,
h4(e10) = op2(op2(e23,e23),h4(e11)),
inference(backward_demodulation,[status(thm)],[f288,f287]) ).
fof(f4421,plain,
op2(e23,e21) != h4(e11),
inference(backward_demodulation,[status(thm)],[f288,f210]) ).
fof(f4422,plain,
op2(e23,e20) != h4(e11),
inference(backward_demodulation,[status(thm)],[f288,f208]) ).
fof(f4423,plain,
op2(e22,e23) != h4(e11),
inference(backward_demodulation,[status(thm)],[f288,f187]) ).
fof(f4424,plain,
op2(e21,e23) != h4(e11),
inference(backward_demodulation,[status(thm)],[f288,f186]) ).
fof(f4425,plain,
op2(e20,e23) != h4(e11),
inference(backward_demodulation,[status(thm)],[f288,f184]) ).
fof(f4426,plain,
h4(e13) = op2(e23,h4(e11)),
inference(forward_demodulation,[status(thm)],[f288,f289]) ).
fof(f4427,plain,
( sQ215_spl
| h4(op1(e13,e12)) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f286,f2627]) ).
fof(f4428,plain,
( sQ212_spl
| h4(op1(e12,e13)) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f286,f2618]) ).
fof(f4429,plain,
( sQ211_spl
| h4(e11) != op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f269,f2615]) ).
fof(f4430,plain,
( sQ211_spl
| h4(e11) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f286,f4429]) ).
fof(f4431,plain,
( sQ211_spl
| h4(e11) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f286,f4430]) ).
fof(f4432,plain,
( sQ211_spl
| h4(e11) != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f288,f4431]) ).
fof(f4433,plain,
( sQ211_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4432]) ).
fof(f4434,plain,
sQ211_spl,
inference(contradiction_clause,[status(thm)],[f4433]) ).
fof(f4435,plain,
( sQ210_spl
| h4(e13) != op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f4386,f2612]) ).
fof(f4436,plain,
( sQ210_spl
| h4(e13) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f286,f4435]) ).
fof(f4437,plain,
( sQ210_spl
| h4(e13) != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f4426,f4436]) ).
fof(f4438,plain,
( sQ210_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4437]) ).
fof(f4439,plain,
sQ210_spl,
inference(contradiction_clause,[status(thm)],[f4438]) ).
fof(f4440,plain,
( sQ209_spl
| h4(op1(e12,e10)) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f286,f2609]) ).
fof(f4441,plain,
( sQ207_spl
| h4(op1(e11,e12)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f286,f2603]) ).
fof(f4442,plain,
( sQ203_spl
| h4(op1(e10,e12)) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f286,f2591]) ).
fof(f4443,plain,
( sQ193_spl
| h3(op1(e13,e13)) != op2(e23,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f4418,f2557]) ).
fof(f4444,plain,
( sQ193_spl
| h3(op1(e13,e13)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4418,f4443]) ).
fof(f4445,plain,
( sQ193_spl
| h3(op1(e13,e13)) != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f288,f4444]) ).
fof(f4446,plain,
( sQ192_spl
| h3(op1(e13,e12)) != op2(e23,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f4418,f2554]) ).
fof(f4447,plain,
( sQ192_spl
| h3(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f282,f4446]) ).
fof(f4448,plain,
( sQ191_spl
| h3(op1(e13,e11)) != op2(e23,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f4418,f2551]) ).
fof(f4449,plain,
( sQ191_spl
| h3(op1(e13,e11)) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f4416,f4448]) ).
fof(f4450,plain,
( sQ190_spl
| h3(op1(e13,e10)) != op2(e23,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f4418,f2548]) ).
fof(f4451,plain,
( sQ190_spl
| h3(op1(e13,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f4415,f4450]) ).
fof(f4452,plain,
( sQ189_spl
| h3(op1(e12,e13)) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f282,f2545]) ).
fof(f4453,plain,
( sQ189_spl
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f4418,f4452]) ).
fof(f4454,plain,
( sQ188_spl
| h3(e11) != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f269,f2542]) ).
fof(f4455,plain,
( sQ188_spl
| e21 != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f4416,f4454]) ).
fof(f4456,plain,
( sQ188_spl
| e21 != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f282,f4455]) ).
fof(f4457,plain,
( sQ188_spl
| e21 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f282,f4456]) ).
fof(f4458,plain,
( sQ188_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f272,f4457]) ).
fof(f4459,plain,
( sQ188_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4458]) ).
fof(f4460,plain,
sQ188_spl,
inference(contradiction_clause,[status(thm)],[f4459]) ).
fof(f4461,plain,
( sQ187_spl
| h3(e13) != op2(h3(e12),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f4386,f2539]) ).
fof(f4462,plain,
( sQ187_spl
| e23 != op2(h3(e12),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f4418,f4461]) ).
fof(f4463,plain,
( sQ187_spl
| e23 != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f282,f4462]) ).
fof(f4464,plain,
( sQ187_spl
| e23 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f4416,f4463]) ).
fof(f4465,plain,
( sQ187_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4399,f4464]) ).
fof(f4466,plain,
( sQ187_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4465]) ).
fof(f4467,plain,
sQ187_spl,
inference(contradiction_clause,[status(thm)],[f4466]) ).
fof(f4468,plain,
( sQ186_spl
| h3(op1(e12,e10)) != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f282,f2536]) ).
fof(f4469,plain,
( sQ186_spl
| h3(op1(e12,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f4415,f4468]) ).
fof(f4470,plain,
( sQ185_spl
| h3(op1(e11,e13)) != op2(e21,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f4416,f2533]) ).
fof(f4471,plain,
( sQ185_spl
| h3(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f4418,f4470]) ).
fof(f4472,plain,
( sQ184_spl
| h3(op1(e11,e12)) != op2(e21,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f4416,f2530]) ).
fof(f4473,plain,
( sQ184_spl
| h3(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f282,f4472]) ).
fof(f4474,plain,
( sQ183_spl
| h3(op1(e11,e11)) != op2(e21,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f4416,f2527]) ).
fof(f4475,plain,
( sQ183_spl
| h3(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4416,f4474]) ).
fof(f4476,plain,
( sQ183_spl
| h3(op1(e11,e11)) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f280,f4475]) ).
fof(f4477,plain,
( sQ182_spl
| h3(op1(e11,e10)) != op2(e21,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f4416,f2524]) ).
fof(f4478,plain,
( sQ182_spl
| h3(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f4415,f4477]) ).
fof(f4479,plain,
( sQ181_spl
| h3(op1(e10,e13)) != op2(e20,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f4415,f2521]) ).
fof(f4480,plain,
( sQ181_spl
| h3(op1(e10,e13)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f4418,f4479]) ).
fof(f4481,plain,
( sQ180_spl
| h3(op1(e10,e12)) != op2(e20,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f4415,f2518]) ).
fof(f4482,plain,
( sQ180_spl
| h3(op1(e10,e12)) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f282,f4481]) ).
fof(f4483,plain,
( sQ179_spl
| h3(op1(e10,e11)) != op2(e20,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f4415,f2515]) ).
fof(f4484,plain,
( sQ179_spl
| h3(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f4416,f4483]) ).
fof(f4485,plain,
( sQ178_spl
| h3(op1(e10,e10)) != op2(e20,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f4415,f2512]) ).
fof(f4486,plain,
( sQ178_spl
| h3(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4415,f4485]) ).
fof(f4487,plain,
( sQ178_spl
| h3(op1(e10,e10)) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f276,f4486]) ).
fof(f4488,plain,
( sQ169_spl
| h2(op1(e13,e12)) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f278,f2481]) ).
fof(f4489,plain,
( sQ166_spl
| h2(op1(e12,e13)) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f278,f2472]) ).
fof(f4490,plain,
( sQ165_spl
| h2(e11) != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f269,f2469]) ).
fof(f4491,plain,
( sQ165_spl
| h2(e11) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f278,f4490]) ).
fof(f4492,plain,
( sQ165_spl
| h2(e11) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f278,f4491]) ).
fof(f4493,plain,
( sQ165_spl
| h2(e11) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f280,f4492]) ).
fof(f4494,plain,
( sQ165_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4493]) ).
fof(f4495,plain,
sQ165_spl,
inference(contradiction_clause,[status(thm)],[f4494]) ).
fof(f4496,plain,
( sQ164_spl
| h2(e13) != op2(h2(e12),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4386,f2466]) ).
fof(f4497,plain,
( sQ164_spl
| h2(e13) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f278,f4496]) ).
fof(f4498,plain,
( sQ164_spl
| h2(e13) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f4414,f4497]) ).
fof(f4499,plain,
( sQ164_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4498]) ).
fof(f4500,plain,
sQ164_spl,
inference(contradiction_clause,[status(thm)],[f4499]) ).
fof(f4501,plain,
( sQ163_spl
| h2(op1(e12,e10)) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f278,f2463]) ).
fof(f4502,plain,
( sQ161_spl
| h2(op1(e11,e12)) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f278,f2457]) ).
fof(f4503,plain,
( sQ157_spl
| h2(op1(e10,e12)) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f278,f2445]) ).
fof(f4504,plain,
( sQ146_spl
| h1(op1(e13,e12)) != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f274,f2408]) ).
fof(f4505,plain,
( sQ143_spl
| h1(op1(e12,e13)) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f274,f2399]) ).
fof(f4506,plain,
( sQ142_spl
| h1(e11) != op2(h1(e12),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f269,f2396]) ).
fof(f4507,plain,
( sQ142_spl
| h1(e11) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f274,f4506]) ).
fof(f4508,plain,
( sQ142_spl
| h1(e11) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f274,f4507]) ).
fof(f4509,plain,
( sQ142_spl
| h1(e11) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f276,f4508]) ).
fof(f4510,plain,
( sQ142_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4509]) ).
fof(f4511,plain,
sQ142_spl,
inference(contradiction_clause,[status(thm)],[f4510]) ).
fof(f4512,plain,
( sQ141_spl
| h1(e13) != op2(h1(e12),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f4386,f2393]) ).
fof(f4513,plain,
( sQ141_spl
| h1(e13) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f4512]) ).
fof(f4514,plain,
( sQ141_spl
| h1(e13) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f4407,f4513]) ).
fof(f4515,plain,
( sQ141_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4514]) ).
fof(f4516,plain,
sQ141_spl,
inference(contradiction_clause,[status(thm)],[f4515]) ).
fof(f4517,plain,
( sQ140_spl
| h1(op1(e12,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f274,f2390]) ).
fof(f4518,plain,
( sQ138_spl
| h1(op1(e11,e12)) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f274,f2384]) ).
fof(f4519,plain,
( sQ134_spl
| h1(op1(e10,e12)) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f274,f2372]) ).
fof(f4523,plain,
( ~ sQ82_spl
| e22 != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f2149,f168]) ).
fof(f4533,plain,
( ~ sQ18_spl
| e12 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f1909,f147]) ).
fof(f4542,plain,
( ~ sQ28_spl
| op1(e11,e11) != e10 ),
inference(backward_demodulation,[status(thm)],[f1942,f150]) ).
fof(f4547,plain,
( ~ sQ70_spl
| e22 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f2110,f192]) ).
fof(f4549,plain,
( ~ sQ70_spl
| e22 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f2110,f172]) ).
fof(f4553,plain,
( ~ sQ6_spl
| e12 != op1(e10,e13) ),
inference(backward_demodulation,[status(thm)],[f1870,f144]) ).
fof(f4561,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1870,f1873]) ).
fof(f4562,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4561,f217]) ).
fof(f4563,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f4562]) ).
fof(f4569,plain,
( ~ sQ78_spl
| e22 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f2136,f183]) ).
fof(f4571,plain,
( ~ sQ118_spl
| e22 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f2266,f209]) ).
fof(f4572,plain,
( ~ sQ118_spl
| op2(e23,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f2266,f206]) ).
fof(f4587,plain,
( ~ sQ91_spl
| op2(e20,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f2178,f176]) ).
fof(f4588,plain,
( sQ180_spl
| ~ sQ75_spl
| h3(op1(e10,e12)) != e23 ),
inference(backward_demodulation,[status(thm)],[f2126,f4482]) ).
fof(f4593,plain,
( ~ sQ100_spl
| e23 = e20 ),
inference(backward_demodulation,[status(thm)],[f2208,f4399]) ).
fof(f4594,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f2149,f2152]) ).
fof(f4595,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4594,f223]) ).
fof(f4596,plain,
( ~ sQ83_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f4595]) ).
fof(f4602,plain,
( sQ204_spl
| ~ sQ14_spl
| h4(e12) != op2(h4(e10),h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f1896,f2594]) ).
fof(f4607,plain,
( sQ145_spl
| ~ sQ54_spl
| h1(e12) != op2(h1(e13),h1(e11)) ),
inference(backward_demodulation,[status(thm)],[f2026,f2405]) ).
fof(f4608,plain,
( sQ168_spl
| ~ sQ54_spl
| h2(e12) != op2(h2(e13),h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f2026,f2478]) ).
fof(f4610,plain,
( ~ sQ54_spl
| e12 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f2026,f162]) ).
fof(f4611,plain,
( ~ sQ54_spl
| e12 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f2026,f161]) ).
fof(f4619,plain,
( ~ sQ50_spl
| op1(e12,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f2013,f121]) ).
fof(f4636,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| e10 = e12 ),
inference(backward_demodulation,[status(thm)],[f2020,f2026]) ).
fof(f4638,plain,
( sQ161_spl
| ~ sQ27_spl
| h2(e13) != op2(h2(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f1938,f4502]) ).
fof(f4641,plain,
( ~ sQ27_spl
| op1(e10,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f1938,f128]) ).
fof(f4645,plain,
( ~ sQ11_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1886,f141]) ).
fof(f4653,plain,
( ~ sQ36_spl
| e13 = e10 ),
inference(backward_demodulation,[status(thm)],[f1968,f4386]) ).
fof(f4654,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1909,f1912]) ).
fof(f4655,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4654,f217]) ).
fof(f4656,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f4655]) ).
fof(f4657,plain,
( sQ222_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f286,f2650]) ).
fof(f4658,plain,
( sQ222_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4657]) ).
fof(f4659,plain,
sQ222_spl,
inference(contradiction_clause,[status(thm)],[f4658]) ).
fof(f4660,plain,
( sQ200_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4418,f2581]) ).
fof(f4661,plain,
( sQ200_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4660]) ).
fof(f4662,plain,
sQ200_spl,
inference(contradiction_clause,[status(thm)],[f4661]) ).
fof(f4668,plain,
( ~ sQ127_spl
| h4(e11) = e23 ),
inference(backward_demodulation,[status(thm)],[f2295,f288]) ).
fof(f4675,plain,
( ~ sQ106_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f272,f2227]) ).
fof(f4676,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4675,f221]) ).
fof(f4677,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f4676]) ).
fof(f4678,plain,
( ~ sQ42_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f269,f1987]) ).
fof(f4679,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4678,f215]) ).
fof(f4680,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f4679]) ).
fof(f4681,plain,
( ~ sQ115_spl
| ~ sQ113_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f2250,f2256]) ).
fof(f4682,plain,
( ~ sQ115_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4681,f222]) ).
fof(f4683,plain,
( ~ sQ115_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f4682]) ).
fof(f4684,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f2010,f2016]) ).
fof(f4685,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4684,f216]) ).
fof(f4686,plain,
( ~ sQ51_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f4685]) ).
fof(f4688,plain,
( sQ85_spl
| h2(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f280,f2160]) ).
fof(f4707,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f2020,f2023]) ).
fof(f4708,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4707,f212]) ).
fof(f4709,plain,
( ~ sQ53_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f4708]) ).
fof(f4710,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2273,f2279]) ).
fof(f4711,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4710,f219]) ).
fof(f4712,plain,
( ~ sQ122_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f4711]) ).
fof(f4713,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f2033,f2039]) ).
fof(f4714,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4713,f213]) ).
fof(f4715,plain,
( ~ sQ58_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f4714]) ).
fof(f4722,plain,
( ~ sQ65_spl
| h1(e11) = e21 ),
inference(backward_demodulation,[status(thm)],[f2094,f276]) ).
fof(f4723,plain,
( ~ sQ79_spl
| ~ sQ77_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f2133,f2139]) ).
fof(f4724,plain,
( ~ sQ79_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4723,f222]) ).
fof(f4725,plain,
( ~ sQ79_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f4724]) ).
fof(f4729,plain,
( sQ178_spl
| ~ sQ1_spl
| h3(e11) != h1(e11) ),
inference(backward_demodulation,[status(thm)],[f1854,f4487]) ).
fof(f4731,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1893,f1899]) ).
fof(f4732,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4731,f216]) ).
fof(f4733,plain,
( ~ sQ15_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f4732]) ).
fof(f4734,plain,
( ~ sQ74_spl
| ~ sQ72_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2117,f2123]) ).
fof(f4735,plain,
( ~ sQ74_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4734,f219]) ).
fof(f4736,plain,
( ~ sQ74_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f4735]) ).
fof(f4737,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1877,f1883]) ).
fof(f4738,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4737,f213]) ).
fof(f4739,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f4738]) ).
fof(f4748,plain,
( ~ sQ282_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f2930,f286]) ).
fof(f4752,plain,
( ~ sQ283_spl
| ~ sQ279_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2917,f2934]) ).
fof(f4754,plain,
( ~ sQ281_spl
| ~ sQ277_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2909,f2926]) ).
fof(f4755,plain,
( ~ sQ280_spl
| ~ sQ276_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2905,f2922]) ).
fof(f4760,plain,
( ~ sQ271_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f2883,f4418]) ).
fof(f4761,plain,
( ~ sQ269_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f4416,f2875]) ).
fof(f4762,plain,
( ~ sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4761,f221]) ).
fof(f4763,plain,
~ sQ269_spl,
inference(contradiction_clause,[status(thm)],[f4762]) ).
fof(f4764,plain,
( ~ sQ268_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f4415,f2871]) ).
fof(f4765,plain,
( ~ sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4764,f219]) ).
fof(f4766,plain,
~ sQ268_spl,
inference(contradiction_clause,[status(thm)],[f4765]) ).
fof(f4768,plain,
( ~ sQ266_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2862,f282]) ).
fof(f4769,plain,
( ~ sQ264_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f4415,f2854]) ).
fof(f4770,plain,
( ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4769,f218]) ).
fof(f4771,plain,
~ sQ264_spl,
inference(contradiction_clause,[status(thm)],[f4770]) ).
fof(f4774,plain,
( ~ sQ261_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f2841,f4416]) ).
fof(f4776,plain,
( ~ sQ259_spl
| e22 = op2(e21,h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f2832,f4414]) ).
fof(f4777,plain,
( ~ sQ258_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f278,f2828]) ).
fof(f4778,plain,
( ~ sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4777,f221]) ).
fof(f4779,plain,
~ sQ258_spl,
inference(contradiction_clause,[status(thm)],[f4778]) ).
fof(f4784,plain,
( ~ sQ257_spl
| e22 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f2824,f280]) ).
fof(f4786,plain,
( ~ sQ259_spl
| ~ sQ255_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2815,f2832]) ).
fof(f4787,plain,
( ~ sQ253_spl
| sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2807,f4688]) ).
fof(f4788,plain,
( ~ sQ253_spl
| sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f4787]) ).
fof(f4789,plain,
( ~ sQ256_spl
| ~ sQ252_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2803,f2820]) ).
fof(f4796,plain,
( ~ sQ246_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f274,f2777]) ).
fof(f4797,plain,
( ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4796,f219]) ).
fof(f4798,plain,
~ sQ246_spl,
inference(contradiction_clause,[status(thm)],[f4797]) ).
fof(f4800,plain,
( sQ137_spl
| ~ sQ245_spl
| h1(op1(e11,e11)) != op2(h1(e11),e22) ),
inference(backward_demodulation,[status(thm)],[f2773,f2381]) ).
fof(f4802,plain,
( ~ sQ247_spl
| ~ sQ243_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2764,f2781]) ).
fof(f4803,plain,
( ~ sQ242_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f274,f2760]) ).
fof(f4804,plain,
( ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4803,f218]) ).
fof(f4805,plain,
~ sQ242_spl,
inference(contradiction_clause,[status(thm)],[f4804]) ).
fof(f4807,plain,
( ~ sQ244_spl
| ~ sQ240_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2752,f2769]) ).
fof(f4811,plain,
e10 = op1(e11,e11),
inference(forward_demodulation,[status(thm)],[f269,f4374]) ).
fof(f4817,plain,
e20 = op2(e21,e21),
inference(forward_demodulation,[status(thm)],[f272,f4387]) ).
fof(f4823,plain,
( ~ sQ240_spl
| e21 = op2(op2(e20,e20),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f2752,f4400]) ).
fof(f4824,plain,
( ~ sQ240_spl
| ~ sQ65_spl
| e21 = op2(e21,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f2094,f4823]) ).
fof(f4825,plain,
( ~ sQ240_spl
| ~ sQ65_spl
| ~ sQ241_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2756,f4824]) ).
fof(f4826,plain,
( ~ sQ240_spl
| ~ sQ65_spl
| ~ sQ241_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f4817,f4825]) ).
fof(f4827,plain,
( ~ sQ240_spl
| ~ sQ65_spl
| ~ sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4826,f218]) ).
fof(f4828,plain,
( ~ sQ240_spl
| ~ sQ65_spl
| ~ sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f4827]) ).
fof(f4829,plain,
( ~ sQ72_spl
| h1(e11) != e20 ),
inference(forward_demodulation,[status(thm)],[f2117,f4402]) ).
fof(f4830,plain,
( ~ sQ69_spl
| h1(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f2107,f4403]) ).
fof(f4834,plain,
( ~ sQ248_spl
| e20 = op2(op2(e21,e21),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f2786,f4408]) ).
fof(f4835,plain,
( ~ sQ248_spl
| e20 = op2(e20,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4817,f4834]) ).
fof(f4837,plain,
( ~ sQ248_spl
| ~ sQ249_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2790,f4835]) ).
fof(f4838,plain,
( ~ sQ249_spl
| e20 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2790,f4409]) ).
fof(f4840,plain,
( ~ sQ249_spl
| e20 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2790,f4410]) ).
fof(f4841,plain,
( ~ sQ80_spl
| e20 != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f2143,f4411]) ).
fof(f4842,plain,
( ~ sQ80_spl
| ~ sQ249_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2790,f4841]) ).
fof(f4843,plain,
( ~ sQ80_spl
| ~ sQ249_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4842]) ).
fof(f4844,plain,
( ~ sQ80_spl
| ~ sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f4843]) ).
fof(f4851,plain,
( ~ sQ112_spl
| e20 != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f2247,f4422]) ).
fof(f4852,plain,
( ~ sQ112_spl
| ~ sQ273_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2892,f4851]) ).
fof(f4853,plain,
( ~ sQ112_spl
| ~ sQ273_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4852]) ).
fof(f4854,plain,
( ~ sQ112_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f4853]) ).
fof(f4855,plain,
( ~ sQ95_spl
| e23 != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f2191,f4424]) ).
fof(f4856,plain,
( ~ sQ95_spl
| ~ sQ93_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f2185,f2191]) ).
fof(f4857,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| e11 = e13 ),
inference(backward_demodulation,[status(thm)],[f1945,f1951]) ).
fof(f4858,plain,
( ~ sQ211_spl
| h4(e11) = op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f269,f2614]) ).
fof(f4864,plain,
( ~ sQ76_spl
| e20 != h4(e11) ),
inference(backward_demodulation,[status(thm)],[f2130,f4425]) ).
fof(f4866,plain,
( ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2172,f4392]) ).
fof(f4867,plain,
~ sQ89_spl,
inference(contradiction_clause,[status(thm)],[f4866]) ).
fof(f4868,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1932,f4379]) ).
fof(f4869,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f4868]) ).
fof(f4884,plain,
( ~ sQ165_spl
| h2(e11) = op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f269,f2468]) ).
fof(f4893,plain,
( ~ sQ142_spl
| h1(e11) = op2(h1(e12),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f269,f2395]) ).
fof(f4894,plain,
( ~ sQ142_spl
| h1(e11) = op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f274,f4893]) ).
fof(f4895,plain,
( ~ sQ142_spl
| h1(e11) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f274,f4894]) ).
fof(f4896,plain,
( ~ sQ142_spl
| ~ sQ64_spl
| h1(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f2091,f4895]) ).
fof(f4897,plain,
( ~ sQ142_spl
| ~ sQ64_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4896,f4829]) ).
fof(f4898,plain,
( ~ sQ142_spl
| ~ sQ64_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f4897]) ).
fof(f4899,plain,
( ~ sQ141_spl
| h1(op1(e12,e11)) = op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f2392]) ).
fof(f4900,plain,
( sQ179_spl
| ~ sQ5_spl
| h3(e11) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1867,f4484]) ).
fof(f4903,plain,
( ~ sQ69_spl
| e21 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2107,f192]) ).
fof(f4906,plain,
( ~ sQ69_spl
| e21 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2107,f172]) ).
fof(f4910,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1867,f1873]) ).
fof(f4911,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4910,f216]) ).
fof(f4912,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f4911]) ).
fof(f4917,plain,
( sQ202_spl
| ~ sQ272_spl
| h4(op1(e10,e11)) != op2(e20,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2888,f2588]) ).
fof(f4918,plain,
( ~ sQ12_spl
| op1(e10,e11) != e10 ),
inference(forward_demodulation,[status(thm)],[f1890,f144]) ).
fof(f4922,plain,
( ~ sQ94_spl
| ~ sQ93_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f2185,f2188]) ).
fof(f4923,plain,
( ~ sQ94_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4922,f221]) ).
fof(f4924,plain,
( ~ sQ94_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f4923]) ).
fof(f4925,plain,
( sQ185_spl
| ~ sQ29_spl
| h3(e11) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1945,f4471]) ).
fof(f4934,plain,
( ~ sQ78_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f4569,f2239,f2135]) ).
fof(f4955,plain,
( ~ sQ83_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f2152,f168]) ).
fof(f4957,plain,
( ~ sQ83_spl
| e23 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2152,f167]) ).
fof(f4960,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f1945,f1948]) ).
fof(f4961,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4960,f215]) ).
fof(f4962,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f4961]) ).
fof(f4977,plain,
( ~ sQ29_spl
| e11 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f1945,f138]) ).
fof(f4994,plain,
( sQ145_spl
| ~ sQ54_spl
| e20 != op2(h1(e13),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f4607]) ).
fof(f4995,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ239_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f2747,f4994]) ).
fof(f5011,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f4619,f1960,f2012]) ).
fof(f5053,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1955,f1961]) ).
fof(f5054,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5053,f213]) ).
fof(f5055,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f5054]) ).
fof(f5072,plain,
( ~ sQ16_spl
| e10 != op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f1903,f146]) ).
fof(f5073,plain,
( ~ sQ16_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f4811,f5072]) ).
fof(f5074,plain,
( ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5073]) ).
fof(f5075,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f5074]) ).
fof(f5077,plain,
( ~ sQ222_spl
| ~ sQ274_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2896,f2649]) ).
fof(f5078,plain,
( ~ sQ222_spl
| ~ sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5077,f220]) ).
fof(f5079,plain,
( ~ sQ222_spl
| ~ sQ274_spl ),
inference(contradiction_clause,[status(thm)],[f5078]) ).
fof(f5080,plain,
( ~ sQ200_spl
| ~ sQ263_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2849,f2580]) ).
fof(f5081,plain,
( ~ sQ200_spl
| ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5080,f220]) ).
fof(f5082,plain,
( ~ sQ200_spl
| ~ sQ263_spl ),
inference(contradiction_clause,[status(thm)],[f5081]) ).
fof(f5083,plain,
( ~ sQ127_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4668,f4855]) ).
fof(f5084,plain,
( ~ sQ127_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f5083]) ).
fof(f5095,plain,
( ~ sQ115_spl
| ~ sQ112_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2247,f2256]) ).
fof(f5096,plain,
( ~ sQ115_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5095,f220]) ).
fof(f5097,plain,
( ~ sQ115_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f5096]) ).
fof(f5099,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f2007,f2016]) ).
fof(f5100,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5099,f214]) ).
fof(f5101,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f5100]) ).
fof(f5102,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2211,f4389]) ).
fof(f5103,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f5102]) ).
fof(f5106,plain,
( ~ sQ141_spl
| h1(e13) = op2(e20,h1(e11)) ),
inference(backward_demodulation,[status(thm)],[f4386,f4899]) ).
fof(f5112,plain,
( ~ sQ122_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2279,f4571]) ).
fof(f5113,plain,
( ~ sQ122_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f5112]) ).
fof(f5114,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2276,f4391]) ).
fof(f5115,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f5114]) ).
fof(f5116,plain,
( ~ sQ58_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2039,f4611]) ).
fof(f5117,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f5116]) ).
fof(f5118,plain,
( ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2243,f4394]) ).
fof(f5119,plain,
~ sQ111_spl,
inference(contradiction_clause,[status(thm)],[f5118]) ).
fof(f5120,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2237,f4388]) ).
fof(f5121,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f5120]) ).
fof(f5122,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1890,f1896]) ).
fof(f5123,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5122,f213]) ).
fof(f5124,plain,
( ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f5123]) ).
fof(f5127,plain,
( ~ sQ91_spl
| ~ sQ90_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f2175,f2178]) ).
fof(f5128,plain,
( ~ sQ91_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5127,f223]) ).
fof(f5129,plain,
( ~ sQ91_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f5128]) ).
fof(f5132,plain,
( ~ sQ282_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4748,f223]) ).
fof(f5133,plain,
~ sQ282_spl,
inference(contradiction_clause,[status(thm)],[f5132]) ).
fof(f5136,plain,
( ~ sQ283_spl
| ~ sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4752,f221]) ).
fof(f5137,plain,
( ~ sQ283_spl
| ~ sQ279_spl ),
inference(contradiction_clause,[status(thm)],[f5136]) ).
fof(f5138,plain,
( ~ sQ281_spl
| ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4754,f221]) ).
fof(f5139,plain,
( ~ sQ281_spl
| ~ sQ277_spl ),
inference(contradiction_clause,[status(thm)],[f5138]) ).
fof(f5140,plain,
( ~ sQ280_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4755,f221]) ).
fof(f5141,plain,
( ~ sQ280_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f5140]) ).
fof(f5142,plain,
( ~ sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4760,f223]) ).
fof(f5143,plain,
~ sQ271_spl,
inference(contradiction_clause,[status(thm)],[f5142]) ).
fof(f5146,plain,
( ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4768,f221]) ).
fof(f5147,plain,
~ sQ266_spl,
inference(contradiction_clause,[status(thm)],[f5146]) ).
fof(f5149,plain,
( ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4774,f218]) ).
fof(f5150,plain,
~ sQ261_spl,
inference(contradiction_clause,[status(thm)],[f5149]) ).
fof(f5155,plain,
( ~ sQ257_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f4784,f2161,f2823]) ).
fof(f5156,plain,
( ~ sQ259_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4786,f221]) ).
fof(f5157,plain,
( ~ sQ259_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f5156]) ).
fof(f5158,plain,
( ~ sQ256_spl
| ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4789,f221]) ).
fof(f5159,plain,
( ~ sQ256_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f5158]) ).
fof(f5161,plain,
( sQ137_spl
| ~ sQ245_spl
| h1(e10) != op2(h1(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f4811,f4800]) ).
fof(f5163,plain,
( ~ sQ247_spl
| ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4802,f221]) ).
fof(f5164,plain,
( ~ sQ247_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f5163]) ).
fof(f5174,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4857,f216]) ).
fof(f5175,plain,
( ~ sQ31_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f5174]) ).
fof(f5181,plain,
( ~ sQ245_spl
| e22 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2773,f4406]) ).
fof(f5192,plain,
( ~ sQ104_spl
| e21 = e20 ),
inference(backward_demodulation,[status(thm)],[f2221,f272]) ).
fof(f5193,plain,
( ~ sQ110_spl
| e22 != h4(e11) ),
inference(backward_demodulation,[status(thm)],[f2240,f4423]) ).
fof(f5197,plain,
( ~ sQ245_spl
| e22 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2773,f4403]) ).
fof(f5200,plain,
( ~ sQ70_spl
| ~ sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2110,f5197]) ).
fof(f5201,plain,
( ~ sQ70_spl
| ~ sQ245_spl ),
inference(contradiction_clause,[status(thm)],[f5200]) ).
fof(f5207,plain,
( ~ sQ28_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f4542,f1915,f1941]) ).
fof(f5213,plain,
( sQ66_spl
| ~ sQ142_spl
| h1(e11) != e22 ),
inference(forward_demodulation,[status(thm)],[f4895,f2098]) ).
fof(f5222,plain,
( ~ sQ83_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f4957,f2203,f2151]) ).
fof(f5223,plain,
( sQ180_spl
| ~ sQ72_spl
| h3(op1(e10,e12)) != e20 ),
inference(forward_demodulation,[status(thm)],[f2117,f4482]) ).
fof(f5224,plain,
( ~ sQ85_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f4817,f2159]) ).
fof(f5225,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5224,f218]) ).
fof(f5226,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f5225]) ).
fof(f5236,plain,
( ~ sQ165_spl
| h2(e11) = op2(h2(e12),e21) ),
inference(backward_demodulation,[status(thm)],[f278,f4884]) ).
fof(f5247,plain,
( sQ213_spl
| ~ sQ272_spl
| h4(op1(e13,e10)) != op2(h4(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f2888,f2621]) ).
fof(f5258,plain,
( sQ209_spl
| ~ sQ272_spl
| h4(op1(e12,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f2888,f4440]) ).
fof(f5260,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4641,f1885,f1937]) ).
fof(f5261,plain,
( ~ sQ62_spl
| op1(e12,e13) != e12 ),
inference(backward_demodulation,[status(thm)],[f2052,f139]) ).
fof(f5262,plain,
( ~ sQ62_spl
| op1(e13,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f2052,f163]) ).
fof(f5263,plain,
( ~ sQ62_spl
| op1(e13,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f2052,f160]) ).
fof(f5264,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2003,f4381]) ).
fof(f5265,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f5264]) ).
fof(f5266,plain,
( ~ sQ2_spl
| e12 != op1(e12,e10) ),
inference(backward_demodulation,[status(thm)],[f1857,f117]) ).
fof(f5267,plain,
( ~ sQ2_spl
| e12 != op1(e13,e10) ),
inference(backward_demodulation,[status(thm)],[f1857,f118]) ).
fof(f5271,plain,
( ~ sQ2_spl
| e12 != op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f1857,f140]) ).
fof(f5273,plain,
( sQ205_spl
| ~ sQ272_spl
| h4(op1(e11,e10)) != op2(h4(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f2888,f2597]) ).
fof(f5276,plain,
( ~ sQ210_spl
| h4(e13) = op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f4386,f2611]) ).
fof(f5277,plain,
( ~ sQ210_spl
| ~ sQ222_spl
| h4(e13) = op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2649,f5276]) ).
fof(f5278,plain,
( ~ sQ211_spl
| ~ sQ222_spl
| h4(e11) = op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2649,f4858]) ).
fof(f5279,plain,
( ~ sQ211_spl
| ~ sQ222_spl
| h4(e11) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f2649,f5278]) ).
fof(f5280,plain,
( ~ sQ210_spl
| ~ sQ222_spl
| ~ sQ211_spl
| ~ sQ126_spl
| h4(e13) = op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f5284,f5277]) ).
fof(f5284,plain,
( ~ sQ211_spl
| ~ sQ222_spl
| ~ sQ126_spl
| h4(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f2292,f5279]) ).
fof(f5299,plain,
( ~ sQ115_spl
| ~ sQ114_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f2253,f2256]) ).
fof(f5300,plain,
( ~ sQ115_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5299,f223]) ).
fof(f5301,plain,
( ~ sQ115_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f5300]) ).
fof(f5305,plain,
( ~ sQ8_spl
| e10 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1877,f130]) ).
fof(f5306,plain,
( sQ180_spl
| ~ sQ72_spl
| ~ sQ8_spl
| h3(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f1877,f5223]) ).
fof(f5307,plain,
( ~ sQ22_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f4811,f1922]) ).
fof(f5308,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5307,f213]) ).
fof(f5309,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f5308]) ).
fof(f5310,plain,
( ~ sQ40_spl
| e11 = e10 ),
inference(backward_demodulation,[status(thm)],[f1981,f269]) ).
fof(f5311,plain,
( sQ134_spl
| ~ sQ8_spl
| h1(e10) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f1877,f4519]) ).
fof(f5315,plain,
( sQ203_spl
| ~ sQ8_spl
| h4(e10) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f1877,f4442]) ).
fof(f5319,plain,
( ~ sQ0_spl
| e10 != op1(e10,e12) ),
inference(forward_demodulation,[status(thm)],[f1851,f141]) ).
fof(f5320,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1877,f5319]) ).
fof(f5321,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5320]) ).
fof(f5322,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f5321]) ).
fof(f5324,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2036,f4378]) ).
fof(f5325,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f5324]) ).
fof(f5341,plain,
( ~ sQ37_spl
| e13 = e11 ),
inference(backward_demodulation,[status(thm)],[f1971,f4386]) ).
fof(f5342,plain,
( ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4593,f220]) ).
fof(f5343,plain,
~ sQ100_spl,
inference(contradiction_clause,[status(thm)],[f5342]) ).
fof(f5345,plain,
( ~ sQ141_spl
| ~ sQ239_spl
| e20 = op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f2747,f5106]) ).
fof(f5348,plain,
( ~ sQ90_spl
| e22 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2175,f180]) ).
fof(f5364,plain,
( ~ sQ96_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2195,f202]) ).
fof(f5365,plain,
( ~ sQ96_spl
| ~ sQ108_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2234,f5364]) ).
fof(f5366,plain,
( ~ sQ96_spl
| ~ sQ108_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5365]) ).
fof(f5367,plain,
( ~ sQ96_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f5366]) ).
fof(f5369,plain,
( sQ184_spl
| ~ sQ26_spl
| h3(e12) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1935,f4473]) ).
fof(f5375,plain,
( ~ sQ278_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f2913,f286]) ).
fof(f5376,plain,
( ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5375,f222]) ).
fof(f5377,plain,
~ sQ278_spl,
inference(contradiction_clause,[status(thm)],[f5376]) ).
fof(f5378,plain,
( ~ sQ211_spl
| ~ sQ222_spl
| ~ sQ126_spl
| h4(e13) = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f5284,f4426]) ).
fof(f5379,plain,
( ~ sQ211_spl
| ~ sQ222_spl
| ~ sQ126_spl
| ~ sQ123_spl
| h4(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f2282,f5378]) ).
fof(f5380,plain,
( ~ sQ211_spl
| ~ sQ222_spl
| ~ sQ126_spl
| ~ sQ123_spl
| sQ223_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5379,f2654]) ).
fof(f5381,plain,
( ~ sQ211_spl
| ~ sQ222_spl
| ~ sQ126_spl
| ~ sQ123_spl
| sQ223_spl ),
inference(contradiction_clause,[status(thm)],[f5380]) ).
fof(f5382,plain,
( sQ206_spl
| h4(e10) != op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f4811,f2600]) ).
fof(f5384,plain,
( ~ sQ280_spl
| ~ sQ272_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2888,f2922]) ).
fof(f5385,plain,
( ~ sQ280_spl
| ~ sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5384,f219]) ).
fof(f5386,plain,
( ~ sQ280_spl
| ~ sQ272_spl ),
inference(contradiction_clause,[status(thm)],[f5385]) ).
fof(f5387,plain,
( ~ sQ267_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f2866,f4418]) ).
fof(f5388,plain,
( ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5387,f222]) ).
fof(f5389,plain,
~ sQ267_spl,
inference(contradiction_clause,[status(thm)],[f5388]) ).
fof(f5391,plain,
( ~ sQ262_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2845,f282]) ).
fof(f5392,plain,
( ~ sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5391,f219]) ).
fof(f5393,plain,
~ sQ262_spl,
inference(contradiction_clause,[status(thm)],[f5392]) ).
fof(f5397,plain,
( ~ sQ76_spl
| ~ sQ273_spl ),
inference(split_clause,[status(thm)],[f4864,f2891,f2129]) ).
fof(f5398,plain,
( ~ sQ79_spl
| ~ sQ76_spl
| e20 = e23 ),
inference(backward_demodulation,[status(thm)],[f2130,f2139]) ).
fof(f5400,plain,
( ~ sQ86_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f4817,f2162]) ).
fof(f5401,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5400,f219]) ).
fof(f5402,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f5401]) ).
fof(f5404,plain,
( ~ sQ75_spl
| ~ sQ72_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2117,f2126]) ).
fof(f5405,plain,
( ~ sQ75_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5404,f220]) ).
fof(f5406,plain,
( ~ sQ75_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f5405]) ).
fof(f5420,plain,
( sQ160_spl
| h2(e10) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4811,f2454]) ).
fof(f5422,plain,
( sQ183_spl
| h3(e10) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f4811,f4476]) ).
fof(f5423,plain,
( sQ183_spl
| e20 != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f4415,f5422]) ).
fof(f5424,plain,
h2(e11) = e20,
inference(forward_demodulation,[status(thm)],[f4817,f280]) ).
fof(f5425,plain,
( sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5424,f2791]) ).
fof(f5426,plain,
sQ249_spl,
inference(contradiction_clause,[status(thm)],[f5425]) ).
fof(f5427,plain,
( ~ sQ244_spl
| ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4807,f221]) ).
fof(f5428,plain,
( ~ sQ244_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f5427]) ).
fof(f5440,plain,
( sQ137_spl
| h1(e10) != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f4811,f2381]) ).
fof(f5449,plain,
( ~ sQ26_spl
| e12 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f1935,f151]) ).
fof(f5450,plain,
( sQ139_spl
| ~ sQ239_spl
| h1(op1(e11,e13)) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f2747,f2387]) ).
fof(f5466,plain,
( ~ sQ165_spl
| h2(e11) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f278,f5236]) ).
fof(f5467,plain,
( ~ sQ165_spl
| e20 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f5474,f4412]) ).
fof(f5469,plain,
( sQ162_spl
| ~ sQ165_spl
| h2(op1(e11,e13)) != op2(e20,h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f5474,f2460]) ).
fof(f5474,plain,
( ~ sQ165_spl
| h2(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f4817,f5466]) ).
fof(f5484,plain,
( sQ207_spl
| ~ sQ26_spl
| h4(e12) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f1935,f4441]) ).
fof(f5485,plain,
e10 != op1(e11,e12),
inference(forward_demodulation,[status(thm)],[f4811,f149]) ).
fof(f5488,plain,
( ~ sQ44_spl
| op1(e10,e13) != e10 ),
inference(backward_demodulation,[status(thm)],[f1994,f135]) ).
fof(f5500,plain,
( ~ sQ115_spl
| e23 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2256,f207]) ).
fof(f5503,plain,
( ~ sQ0_spl
| e10 != op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f1851,f117]) ).
fof(f5504,plain,
( ~ sQ0_spl
| ~ sQ32_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1955,f5503]) ).
fof(f5505,plain,
( ~ sQ0_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5504]) ).
fof(f5506,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f5505]) ).
fof(f5518,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f4533,f1934,f1908]) ).
fof(f5522,plain,
( ~ sQ18_spl
| e12 != op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f1909,f148]) ).
fof(f5524,plain,
( ~ sQ44_spl
| e10 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f1994,f139]) ).
fof(f5526,plain,
( ~ sQ63_spl
| op1(e13,e12) != e13 ),
inference(forward_demodulation,[status(thm)],[f2055,f163]) ).
fof(f5529,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5310,f212]) ).
fof(f5530,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f5529]) ).
fof(f5533,plain,
( sQ185_spl
| ~ sQ29_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f4416,f4925]) ).
fof(f5534,plain,
( sQ185_spl
| ~ sQ29_spl
| ~ sQ93_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2185,f5533]) ).
fof(f5535,plain,
( sQ185_spl
| ~ sQ29_spl
| ~ sQ93_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5534]) ).
fof(f5536,plain,
( sQ185_spl
| ~ sQ29_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f5535]) ).
fof(f5542,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ239_spl
| ~ sQ141_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5345,f4995]) ).
fof(f5543,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ239_spl
| ~ sQ141_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5542]) ).
fof(f5544,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ239_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f5543]) ).
fof(f5550,plain,
( sQ191_spl
| ~ sQ54_spl
| h3(e12) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f2026,f4449]) ).
fof(f5554,plain,
( ~ sQ56_spl
| op1(e13,e10) != e10 ),
inference(forward_demodulation,[status(thm)],[f2033,f159]) ).
fof(f5568,plain,
( ~ sQ93_spl
| e21 != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f2185,f4424]) ).
fof(f5569,plain,
( ~ sQ125_spl
| h4(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f2289,f288]) ).
fof(f5570,plain,
( ~ sQ125_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5569,f5568]) ).
fof(f5571,plain,
( ~ sQ125_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f5570]) ).
fof(f5582,plain,
( ~ sQ211_spl
| ~ sQ222_spl
| h4(e10) = op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f5279,f4419]) ).
fof(f5583,plain,
( ~ sQ211_spl
| ~ sQ222_spl
| sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5582,f5382]) ).
fof(f5584,plain,
( ~ sQ211_spl
| ~ sQ222_spl
| sQ206_spl ),
inference(contradiction_clause,[status(thm)],[f5583]) ).
fof(f5588,plain,
( sQ209_spl
| ~ sQ276_spl
| h4(op1(e12,e10)) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f2905,f4440]) ).
fof(f5602,plain,
( sQ265_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4416,f2859]) ).
fof(f5603,plain,
( sQ265_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5602]) ).
fof(f5604,plain,
sQ265_spl,
inference(contradiction_clause,[status(thm)],[f5603]) ).
fof(f5606,plain,
( sQ270_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f282,f2880]) ).
fof(f5607,plain,
( sQ270_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5606]) ).
fof(f5608,plain,
sQ270_spl,
inference(contradiction_clause,[status(thm)],[f5607]) ).
fof(f5613,plain,
( sQ260_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4415,f2838]) ).
fof(f5614,plain,
( sQ260_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5613]) ).
fof(f5615,plain,
sQ260_spl,
inference(contradiction_clause,[status(thm)],[f5614]) ).
fof(f5619,plain,
( ~ sQ110_spl
| ~ sQ281_spl ),
inference(split_clause,[status(thm)],[f5193,f2925,f2239]) ).
fof(f5620,plain,
( ~ sQ110_spl
| op2(e22,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f2240,f202]) ).
fof(f5624,plain,
( ~ sQ210_spl
| ~ sQ222_spl
| ~ sQ211_spl
| ~ sQ126_spl
| ~ sQ223_spl
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2653,f5280]) ).
fof(f5625,plain,
( ~ sQ210_spl
| ~ sQ222_spl
| ~ sQ211_spl
| ~ sQ126_spl
| ~ sQ223_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5624,f5500]) ).
fof(f5626,plain,
( ~ sQ210_spl
| ~ sQ222_spl
| ~ sQ211_spl
| ~ sQ126_spl
| ~ sQ223_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f5625]) ).
fof(f5627,plain,
( ~ sQ211_spl
| ~ sQ222_spl
| ~ sQ126_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f5284,f2925,f2291,f2648,f2613]) ).
fof(f5634,plain,
( sQ192_spl
| ~ sQ56_spl
| h3(e10) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2033,f4447]) ).
fof(f5635,plain,
( sQ192_spl
| ~ sQ56_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f4415,f5634]) ).
fof(f5649,plain,
( ~ sQ91_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f4587,f2125,f2177]) ).
fof(f5653,plain,
( ~ sQ82_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f4523,f2252,f2148]) ).
fof(f5665,plain,
( sQ189_spl
| ~ sQ44_spl
| h3(e10) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1994,f4453]) ).
fof(f5666,plain,
( sQ189_spl
| ~ sQ44_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f4415,f5665]) ).
fof(f5686,plain,
( ~ sQ165_spl
| h2(e13) = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f5474,f4414]) ).
fof(f5687,plain,
( ~ sQ165_spl
| ~ sQ82_spl
| h2(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f2149,f5686]) ).
fof(f5688,plain,
( ~ sQ165_spl
| ~ sQ82_spl
| sQ259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5687,f2833]) ).
fof(f5689,plain,
( ~ sQ165_spl
| ~ sQ82_spl
| sQ259_spl ),
inference(contradiction_clause,[status(thm)],[f5688]) ).
fof(f5701,plain,
( sQ168_spl
| ~ sQ54_spl
| e21 != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f278,f4608]) ).
fof(f5702,plain,
( sQ168_spl
| ~ sQ54_spl
| ~ sQ165_spl
| e21 != op2(h2(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f5474,f5701]) ).
fof(f5703,plain,
( sQ168_spl
| ~ sQ54_spl
| ~ sQ165_spl
| ~ sQ255_spl
| e21 != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f2815,f5702]) ).
fof(f5713,plain,
( sQ183_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f5423,f2789,f2525]) ).
fof(f5714,plain,
( ~ sQ248_spl
| ~ sQ249_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f4837,f2090,f2789,f2785]) ).
fof(f5715,plain,
( ~ sQ249_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f4840,f2168,f2789]) ).
fof(f5746,plain,
( ~ sQ44_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f5488,f1889,f1993]) ).
fof(f5752,plain,
( ~ sQ76_spl
| op2(e20,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f2130,f193]) ).
fof(f5758,plain,
( ~ sQ241_spl
| e21 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2756,f4401]) ).
fof(f5766,plain,
( ~ sQ44_spl
| op1(e12,e10) != e10 ),
inference(forward_demodulation,[status(thm)],[f1994,f154]) ).
fof(f5768,plain,
( ~ sQ51_spl
| e13 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f2016,f160]) ).
fof(f5769,plain,
( ~ sQ56_spl
| e10 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f2033,f163]) ).
fof(f5770,plain,
( ~ sQ53_spl
| e11 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f2023,f162]) ).
fof(f5771,plain,
( ~ sQ54_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f4610,f2051,f2025]) ).
fof(f5775,plain,
( ~ sQ21_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f4811,f1919]) ).
fof(f5776,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5775,f212]) ).
fof(f5777,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f5776]) ).
fof(f5778,plain,
( sQ161_spl
| ~ sQ165_spl
| h2(op1(e11,e12)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f5474,f4502]) ).
fof(f5780,plain,
( ~ sQ62_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f5261,f1999,f2051]) ).
fof(f5781,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f5262,f2038,f2051]) ).
fof(f5782,plain,
( ~ sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f5263,f2012,f2051]) ).
fof(f5792,plain,
( ~ sQ12_spl
| op1(e10,e12) != e10 ),
inference(backward_demodulation,[status(thm)],[f1890,f145]) ).
fof(f5795,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f4918,f1863,f1889]) ).
fof(f5798,plain,
( ~ sQ12_spl
| op1(e10,e10) != e10 ),
inference(forward_demodulation,[status(thm)],[f1890,f142]) ).
fof(f5802,plain,
( ~ sQ165_spl
| op2(e20,e21) != e20 ),
inference(forward_demodulation,[status(thm)],[f5474,f4413]) ).
fof(f5816,plain,
( ~ sQ241_spl
| h1(e13) = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2756,f4407]) ).
fof(f5822,plain,
( ~ sQ70_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f4549,f2265,f2109]) ).
fof(f5825,plain,
( ~ sQ206_spl
| h4(e10) = op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f4811,f2599]) ).
fof(f5829,plain,
( ~ sQ110_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f5620,f2200,f2239]) ).
fof(f5835,plain,
( ~ sQ123_spl
| op2(e23,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f2282,f207]) ).
fof(f5843,plain,
( ~ sQ118_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f4572,f2252,f2265]) ).
fof(f5858,plain,
( ~ sQ97_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2198,f4390]) ).
fof(f5859,plain,
( ~ sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5858]) ).
fof(f5860,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f5859]) ).
fof(f5862,plain,
( ~ sQ23_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f4811,f1925]) ).
fof(f5863,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5862,f214]) ).
fof(f5864,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f5863]) ).
fof(f5887,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1929,f5485]) ).
fof(f5888,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f5887]) ).
fof(f5895,plain,
( ~ sQ18_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f5522,f1947,f1908]) ).
fof(f5907,plain,
( ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1964,f4382]) ).
fof(f5908,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f5907]) ).
fof(f5910,plain,
( ~ sQ165_spl
| ~ sQ255_spl
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2815,f5686]) ).
fof(f5911,plain,
( ~ sQ165_spl
| ~ sQ255_spl
| h1(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f5910,f4406]) ).
fof(f5912,plain,
( ~ sQ165_spl
| ~ sQ255_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f5910,f196]) ).
fof(f5918,plain,
( sQ182_spl
| ~ sQ165_spl
| ~ sQ255_spl
| h3(op1(e11,e10)) != e21 ),
inference(forward_demodulation,[status(thm)],[f5910,f4478]) ).
fof(f5933,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5526,f2041,f2054]) ).
fof(f5934,plain,
( sQ127_spl
| h4(e11) != e23 ),
inference(forward_demodulation,[status(thm)],[f288,f2296]) ).
fof(f5936,plain,
( sQ181_spl
| ~ sQ12_spl
| h3(e10) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1890,f4480]) ).
fof(f5937,plain,
( sQ181_spl
| ~ sQ12_spl
| e20 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f4415,f5936]) ).
fof(f5941,plain,
( ~ sQ93_spl
| ~ sQ165_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2185,f5912]) ).
fof(f5942,plain,
( ~ sQ93_spl
| ~ sQ165_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f5941]) ).
fof(f5943,plain,
( ~ sQ95_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4856,f222]) ).
fof(f5944,plain,
( ~ sQ95_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f5943]) ).
fof(f5947,plain,
( ~ sQ8_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f5305,f2032,f1876]) ).
fof(f5954,plain,
( sQ180_spl
| ~ sQ72_spl
| ~ sQ8_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f5306,f2836,f1876,f2116,f2516]) ).
fof(f5959,plain,
( ~ sQ90_spl
| e22 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f2175,f199]) ).
fof(f5965,plain,
( ~ sQ90_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f5348,f2278,f2174]) ).
fof(f5966,plain,
( ~ sQ67_spl
| ~ sQ66_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f2097,f2100]) ).
fof(f5967,plain,
( ~ sQ67_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5966,f223]) ).
fof(f5968,plain,
( ~ sQ67_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f5967]) ).
fof(f5969,plain,
( sQ158_spl
| ~ sQ12_spl
| h2(e10) != op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1890,f2448]) ).
fof(f5970,plain,
( sQ160_spl
| ~ sQ165_spl
| h2(e10) != op2(e20,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f5474,f5420]) ).
fof(f5971,plain,
( sQ160_spl
| ~ sQ165_spl
| h2(e10) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5474,f5970]) ).
fof(f5972,plain,
( sQ159_spl
| ~ sQ17_spl
| h2(e11) != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1906,f2451]) ).
fof(f5973,plain,
( sQ159_spl
| ~ sQ17_spl
| ~ sQ165_spl
| e20 != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f5474,f5972]) ).
fof(f5974,plain,
( sQ159_spl
| ~ sQ17_spl
| ~ sQ165_spl
| e20 != op2(e20,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f5474,f5973]) ).
fof(f5978,plain,
h2(e10) = op2(e20,h2(e11)),
inference(forward_demodulation,[status(thm)],[f4817,f4408]) ).
fof(f5979,plain,
( ~ sQ165_spl
| h2(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5474,f5978]) ).
fof(f5980,plain,
( ~ sQ165_spl
| sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5979,f5971]) ).
fof(f5981,plain,
( ~ sQ165_spl
| sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f5980]) ).
fof(f5984,plain,
( ~ sQ92_spl
| ~ sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2182,f4838]) ).
fof(f5985,plain,
( ~ sQ92_spl
| ~ sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f5984]) ).
fof(f5993,plain,
( ~ sQ123_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f5835,f2255,f2281]) ).
fof(f5995,plain,
( ~ sQ165_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f5802,f2103,f2467]) ).
fof(f5998,plain,
( ~ sQ142_spl
| h1(e10) = op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f4895,f4400]) ).
fof(f6006,plain,
( sQ178_spl
| ~ sQ1_spl
| e21 != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f4416,f4729]) ).
fof(f6013,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2029,f4383]) ).
fof(f6014,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f6013]) ).
fof(f6017,plain,
( sQ138_spl
| ~ sQ26_spl
| h1(e12) != op2(h1(e11),e20) ),
inference(backward_demodulation,[status(thm)],[f1935,f4518]) ).
fof(f6018,plain,
( sQ161_spl
| ~ sQ165_spl
| ~ sQ26_spl
| h2(e12) != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f1935,f5778]) ).
fof(f6020,plain,
( ~ sQ26_spl
| e12 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1935,f132]) ).
fof(f6024,plain,
( sQ184_spl
| ~ sQ26_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f282,f5369]) ).
fof(f6025,plain,
( ~ sQ26_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f5449,f1947,f1934]) ).
fof(f6026,plain,
( sQ207_spl
| ~ sQ26_spl
| e23 != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f286,f5484]) ).
fof(f6028,plain,
( sQ144_spl
| ~ sQ49_spl
| h1(e11) != op2(h1(e13),h1(e10)) ),
inference(backward_demodulation,[status(thm)],[f2010,f2402]) ).
fof(f6034,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1958,f4377]) ).
fof(f6035,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f6034]) ).
fof(f6036,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1906,f1912]) ).
fof(f6037,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6036,f216]) ).
fof(f6038,plain,
( ~ sQ19_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f6037]) ).
fof(f6041,plain,
( ~ sQ17_spl
| e11 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f1906,f148]) ).
fof(f6042,plain,
( ~ sQ17_spl
| e11 != op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f1906,f120]) ).
fof(f6053,plain,
( ~ sQ165_spl
| h2(e13) != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f5686,f168]) ).
fof(f6064,plain,
( sQ169_spl
| ~ sQ56_spl
| h2(e10) != op2(h2(e13),e21) ),
inference(backward_demodulation,[status(thm)],[f2033,f4488]) ).
fof(f6067,plain,
( sQ192_spl
| ~ sQ56_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f5635,f2272,f2032,f2552]) ).
fof(f6068,plain,
( ~ sQ56_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f5769,f2045,f2032]) ).
fof(f6070,plain,
( ~ sQ259_spl
| ~ sQ165_spl
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f5474,f4776]) ).
fof(f6086,plain,
( ~ sQ127_spl
| h4(e11) = e23 ),
inference(backward_demodulation,[status(thm)],[f2295,f288]) ).
fof(f6090,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5192,f218]) ).
fof(f6091,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f6090]) ).
fof(f6094,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f5798,f1850,f1889]) ).
fof(f6096,plain,
( ~ sQ1_spl
| e11 != op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f1854,f118]) ).
fof(f6097,plain,
( ~ sQ1_spl
| e11 != op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f1854,f116]) ).
fof(f6098,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1906,f6097]) ).
fof(f6099,plain,
( ~ sQ1_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6098]) ).
fof(f6100,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f6099]) ).
fof(f6107,plain,
( sQ191_spl
| ~ sQ117_spl
| h3(op1(e13,e11)) != e21 ),
inference(backward_demodulation,[status(thm)],[f2263,f4449]) ).
fof(f6116,plain,
( sQ139_spl
| ~ sQ245_spl
| h1(op1(e11,e13)) != op2(e22,h1(e13)) ),
inference(backward_demodulation,[status(thm)],[f2773,f2387]) ).
fof(f6117,plain,
( ~ sQ141_spl
| ~ sQ245_spl
| h1(e13) = op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f2773,f5106]) ).
fof(f6120,plain,
( ~ sQ245_spl
| ~ sQ259_spl
| ~ sQ165_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f6070,f5181]) ).
fof(f6121,plain,
( ~ sQ245_spl
| ~ sQ259_spl
| ~ sQ165_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6120]) ).
fof(f6122,plain,
( ~ sQ245_spl
| ~ sQ259_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f6121]) ).
fof(f6128,plain,
( ~ sQ76_spl
| e20 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f2130,f183]) ).
fof(f6131,plain,
( ~ sQ76_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f5752,f2116,f2129]) ).
fof(f6136,plain,
( sQ189_spl
| ~ sQ110_spl
| h3(op1(e12,e13)) != e22 ),
inference(backward_demodulation,[status(thm)],[f2240,f4453]) ).
fof(f6141,plain,
( ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2113,f4398]) ).
fof(f6142,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f6141]) ).
fof(f6144,plain,
( ~ sQ65_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f4722,f2755,f2093]) ).
fof(f6145,plain,
( ~ sQ165_spl
| ~ sQ65_spl
| h2(e10) = e21 ),
inference(backward_demodulation,[status(thm)],[f2094,f5979]) ).
fof(f6146,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1997,f4375]) ).
fof(f6147,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f6146]) ).
fof(f6148,plain,
( ~ sQ43_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f269,f1990]) ).
fof(f6149,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6148,f216]) ).
fof(f6150,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f6149]) ).
fof(f6161,plain,
( ~ sQ117_spl
| op2(e23,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f2263,f206]) ).
fof(f6164,plain,
( sQ127_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f5934,f2644,f2294]) ).
fof(f6172,plain,
( ~ sQ102_spl
| e23 = e22 ),
inference(backward_demodulation,[status(thm)],[f2214,f4399]) ).
fof(f6173,plain,
( sQ138_spl
| ~ sQ26_spl
| e20 != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f274,f6017]) ).
fof(f6174,plain,
( sQ161_spl
| ~ sQ165_spl
| ~ sQ26_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f278,f6018]) ).
fof(f6175,plain,
( ~ sQ26_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f6020,f2038,f1934]) ).
fof(f6188,plain,
( ~ sQ107_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f272,f2230]) ).
fof(f6189,plain,
( ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6188,f222]) ).
fof(f6190,plain,
~ sQ107_spl,
inference(contradiction_clause,[status(thm)],[f6189]) ).
fof(f6193,plain,
( ~ sQ59_spl
| op1(e13,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f2042,f159]) ).
fof(f6195,plain,
( ~ sQ6_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4553,f1895,f1869]) ).
fof(f6207,plain,
( ~ sQ49_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2010,f6042]) ).
fof(f6208,plain,
( ~ sQ49_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f6207]) ).
fof(f6213,plain,
( sQ147_spl
| ~ sQ60_spl
| h1(e10) != op2(h1(e13),h1(e13)) ),
inference(backward_demodulation,[status(thm)],[f2046,f2411]) ).
fof(f6225,plain,
( ~ sQ44_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f5766,f1954,f1993]) ).
fof(f6226,plain,
( ~ sQ44_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f5524,f2045,f1993]) ).
fof(f6227,plain,
( sQ189_spl
| ~ sQ44_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f5666,f2233,f1993,f2543]) ).
fof(f6238,plain,
( ~ sQ165_spl
| ~ sQ81_spl
| h2(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f2146,f5686]) ).
fof(f6239,plain,
( sQ255_spl
| ~ sQ165_spl
| ~ sQ81_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6238,f2816]) ).
fof(f6240,plain,
( sQ255_spl
| ~ sQ165_spl
| ~ sQ81_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6239]) ).
fof(f6241,plain,
( sQ255_spl
| ~ sQ165_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f6240]) ).
fof(f6243,plain,
( sQ162_spl
| ~ sQ165_spl
| ~ sQ81_spl
| h2(op1(e11,e13)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f6238,f5469]) ).
fof(f6254,plain,
( ~ sQ90_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f5959,f2187,f2174]) ).
fof(f6268,plain,
( ~ sQ120_spl
| op2(e20,e22) != e20 ),
inference(backward_demodulation,[status(thm)],[f2273,f178]) ).
fof(f6275,plain,
( ~ sQ69_spl
| e21 != op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f2107,f191]) ).
fof(f6276,plain,
( ~ sQ69_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f4830,f2755,f2106]) ).
fof(f6277,plain,
( ~ sQ69_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f4906,f2262,f2106]) ).
fof(f6278,plain,
( ~ sQ69_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f4903,f2132,f2106]) ).
fof(f6309,plain,
( ~ sQ241_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f5758,f2132,f2755]) ).
fof(f6331,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5341,f216]) ).
fof(f6332,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f6331]) ).
fof(f6333,plain,
( ~ sQ38_spl
| e13 = e12 ),
inference(backward_demodulation,[status(thm)],[f1974,f4386]) ).
fof(f6344,plain,
( sQ161_spl
| ~ sQ27_spl
| ~ sQ165_spl
| ~ sQ81_spl
| e21 != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f6238,f4638]) ).
fof(f6345,plain,
( sQ161_spl
| ~ sQ27_spl
| ~ sQ165_spl
| ~ sQ81_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f5474,f6344]) ).
fof(f6346,plain,
( sQ161_spl
| ~ sQ27_spl
| ~ sQ165_spl
| ~ sQ81_spl
| ~ sQ69_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2107,f6345]) ).
fof(f6347,plain,
( sQ161_spl
| ~ sQ27_spl
| ~ sQ165_spl
| ~ sQ81_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6346]) ).
fof(f6348,plain,
( sQ161_spl
| ~ sQ27_spl
| ~ sQ165_spl
| ~ sQ81_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f6347]) ).
fof(f6370,plain,
( ~ sQ29_spl
| op1(e10,e13) != e11 ),
inference(backward_demodulation,[status(thm)],[f1945,f134]) ).
fof(f6377,plain,
( ~ sQ29_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f4977,f2048,f1944]) ).
fof(f6383,plain,
( ~ sQ165_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f5467,f2259,f2467]) ).
fof(f6392,plain,
( sQ209_spl
| ~ sQ276_spl
| ~ sQ32_spl
| h4(e10) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f1955,f5588]) ).
fof(f6395,plain,
( sQ163_spl
| ~ sQ32_spl
| h2(e10) != op2(e21,h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f1955,f4501]) ).
fof(f6398,plain,
( sQ186_spl
| ~ sQ32_spl
| h3(e10) != op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f1955,f4469]) ).
fof(f6415,plain,
( ~ sQ51_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f2016,f118]) ).
fof(f6416,plain,
( sQ190_spl
| ~ sQ51_spl
| h3(e13) != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f2016,f4451]) ).
fof(f6419,plain,
( ~ sQ51_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f5768,f2054,f2015]) ).
fof(f6423,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f2046,f2055]) ).
fof(f6424,plain,
( ~ sQ63_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6423,f214]) ).
fof(f6425,plain,
( ~ sQ63_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f6424]) ).
fof(f6427,plain,
( ~ sQ1_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f6096,f2009,f1853]) ).
fof(f6436,plain,
( sQ178_spl
| ~ sQ1_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f6006,f2755,f1853,f2510]) ).
fof(f6451,plain,
( sQ143_spl
| ~ sQ46_spl
| h1(e12) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f2000,f4505]) ).
fof(f6452,plain,
( sQ143_spl
| ~ sQ46_spl
| e20 != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f274,f6451]) ).
fof(f6459,plain,
( sQ156_spl
| ~ sQ165_spl
| h2(op1(e10,e11)) != op2(h2(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f5474,f2442]) ).
fof(f6460,plain,
( ~ sQ83_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f4955,f2255,f2151]) ).
fof(f6464,plain,
( ~ sQ165_spl
| ~ sQ142_spl
| h2(e10) = h1(e11) ),
inference(backward_demodulation,[status(thm)],[f4895,f5979]) ).
fof(f6469,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4653,f214]) ).
fof(f6470,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f6469]) ).
fof(f6473,plain,
( ~ sQ79_spl
| e23 != h4(e11) ),
inference(backward_demodulation,[status(thm)],[f2139,f4425]) ).
fof(f6484,plain,
( ~ sQ70_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f4547,f2135,f2109]) ).
fof(f6485,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f6370,f1892,f1944]) ).
fof(f6494,plain,
( ~ sQ241_spl
| ~ sQ70_spl
| h1(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f2110,f5816]) ).
fof(f6495,plain,
( ~ sQ241_spl
| ~ sQ70_spl
| sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6494,f2782]) ).
fof(f6496,plain,
( ~ sQ241_spl
| ~ sQ70_spl
| sQ247_spl ),
inference(contradiction_clause,[status(thm)],[f6495]) ).
fof(f6519,plain,
( ~ sQ241_spl
| e21 != op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f2756,f4402]) ).
fof(f6549,plain,
( sQ184_spl
| ~ sQ26_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f6024,f2174,f1934,f2528]) ).
fof(f6556,plain,
( ~ sQ76_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f6128,f2233,f2129]) ).
fof(f6558,plain,
( ~ sQ79_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5398,f220]) ).
fof(f6559,plain,
( ~ sQ79_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f6558]) ).
fof(f6564,plain,
( ~ sQ87_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f4817,f2165]) ).
fof(f6565,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6564,f220]) ).
fof(f6566,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f6565]) ).
fof(f6586,plain,
( ~ sQ165_spl
| ~ sQ65_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f6145,f2802,f2093,f2467]) ).
fof(f6597,plain,
( ~ sQ48_spl
| op1(e12,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f2007,f121]) ).
fof(f6598,plain,
( ~ sQ48_spl
| e10 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f2007,f160]) ).
fof(f6604,plain,
( sQ213_spl
| ~ sQ48_spl
| h4(e10) != op2(h4(e13),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2007,f2621]) ).
fof(f6622,plain,
( sQ191_spl
| ~ sQ117_spl
| ~ sQ53_spl
| h3(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f2023,f6107]) ).
fof(f6623,plain,
( sQ191_spl
| ~ sQ117_spl
| ~ sQ53_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4416,f6622]) ).
fof(f6624,plain,
( sQ191_spl
| ~ sQ117_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6623]) ).
fof(f6625,plain,
( sQ191_spl
| ~ sQ117_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f6624]) ).
fof(f6627,plain,
( ~ sQ117_spl
| e21 != h4(e11) ),
inference(backward_demodulation,[status(thm)],[f2263,f4421]) ).
fof(f6630,plain,
( ~ sQ117_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f6161,f2249,f2262]) ).
fof(f6631,plain,
( ~ sQ120_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f6268,f2116,f2272]) ).
fof(f6651,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6333,f217]) ).
fof(f6652,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f6651]) ).
fof(f6658,plain,
( sQ209_spl
| ~ sQ276_spl
| ~ sQ32_spl
| ~ sQ117_spl
| h4(e10) != e21 ),
inference(forward_demodulation,[status(thm)],[f2263,f6392]) ).
fof(f6665,plain,
( sQ186_spl
| ~ sQ32_spl
| e20 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f4415,f6398]) ).
fof(f6677,plain,
( ~ sQ276_spl
| sQ209_spl
| ~ sQ32_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2905,f6658]) ).
fof(f6678,plain,
( ~ sQ276_spl
| sQ209_spl
| ~ sQ32_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f6677]) ).
fof(f6679,plain,
( sQ182_spl
| ~ sQ165_spl
| h3(op1(e11,e10)) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f5686,f4478]) ).
fof(f6692,plain,
( ~ sQ241_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f6519,f2119,f2755]) ).
fof(f6707,plain,
( sQ189_spl
| ~ sQ110_spl
| ~ sQ46_spl
| h3(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f2000,f6136]) ).
fof(f6708,plain,
( sQ189_spl
| ~ sQ110_spl
| ~ sQ46_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f282,f6707]) ).
fof(f6709,plain,
( sQ189_spl
| ~ sQ110_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6708]) ).
fof(f6710,plain,
( sQ189_spl
| ~ sQ110_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f6709]) ).
fof(f6732,plain,
( ~ sQ17_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f6041,f1944,f1905]) ).
fof(f6740,plain,
( ~ sQ124_spl
| h4(e11) = e20 ),
inference(backward_demodulation,[status(thm)],[f2286,f288]) ).
fof(f6742,plain,
( ~ sQ27_spl
| e13 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1938,f132]) ).
fof(f6745,plain,
( ~ sQ27_spl
| e13 != op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f1938,f151]) ).
fof(f6767,plain,
( ~ sQ165_spl
| ~ sQ83_spl
| h2(e13) = e23 ),
inference(backward_demodulation,[status(thm)],[f2152,f5686]) ).
fof(f6803,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f5266,f1960,f1856]) ).
fof(f6812,plain,
( ~ sQ2_spl
| e12 != op1(e10,e13) ),
inference(backward_demodulation,[status(thm)],[f1857,f142]) ).
fof(f6814,plain,
( ~ sQ2_spl
| e12 != op1(e10,e12) ),
inference(backward_demodulation,[status(thm)],[f1857,f141]) ).
fof(f6817,plain,
( ~ sQ2_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5271,f1869,f1856]) ).
fof(f6839,plain,
( ~ sQ117_spl
| ~ sQ277_spl ),
inference(split_clause,[status(thm)],[f6627,f2908,f2262]) ).
fof(f6860,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f1867,f1870]) ).
fof(f6861,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6860,f215]) ).
fof(f6862,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f6861]) ).
fof(f6886,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f5554,f2006,f2032]) ).
fof(f6888,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1880,f4380]) ).
fof(f6889,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f6888]) ).
fof(f6897,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f5770,f2048,f2022]) ).
fof(f6902,plain,
( ~ sQ124_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f6740,f2891,f2285]) ).
fof(f6903,plain,
( ~ sQ27_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6742,f2041,f1937]) ).
fof(f6905,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f6745,f1950,f1937]) ).
fof(f6906,plain,
( ~ sQ165_spl
| ~ sQ83_spl
| sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6767,f2508]) ).
fof(f6907,plain,
( ~ sQ165_spl
| ~ sQ83_spl
| sQ177_spl ),
inference(contradiction_clause,[status(thm)],[f6906]) ).
fof(f6912,plain,
( ~ sQ127_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6086,f6473]) ).
fof(f6913,plain,
( ~ sQ127_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f6912]) ).
fof(f6919,plain,
( sQ166_spl
| ~ sQ46_spl
| h2(e12) != op2(e21,h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f2000,f4489]) ).
fof(f6921,plain,
( ~ sQ46_spl
| op1(e11,e13) != e12 ),
inference(backward_demodulation,[status(thm)],[f2000,f137]) ).
fof(f6930,plain,
( sQ216_spl
| ~ sQ61_spl
| h4(e11) != op2(h4(e13),h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f2049,f2630]) ).
fof(f6933,plain,
( sQ170_spl
| ~ sQ61_spl
| h2(e11) != op2(h2(e13),h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f2049,f2484]) ).
fof(f6934,plain,
( sQ193_spl
| ~ sQ61_spl
| h3(e11) != h4(e11) ),
inference(backward_demodulation,[status(thm)],[f2049,f4445]) ).
fof(f6936,plain,
( ~ sQ51_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f6415,f1859,f2015]) ).
fof(f6937,plain,
( sQ190_spl
| ~ sQ51_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f4418,f6416]) ).
fof(f6956,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f5792,f1876,f1889]) ).
fof(f6958,plain,
( sQ191_spl
| ~ sQ54_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f282,f5550]) ).
fof(f6967,plain,
( sQ179_spl
| ~ sQ5_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f4416,f4900]) ).
fof(f6969,plain,
( sQ186_spl
| ~ sQ32_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f6665,f2194,f1954,f2534]) ).
fof(f6976,plain,
( sQ140_spl
| ~ sQ32_spl
| h1(e10) != op2(e20,h1(e10)) ),
inference(backward_demodulation,[status(thm)],[f1955,f4517]) ).
fof(f6982,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f5267,f2012,f1856]) ).
fof(f6984,plain,
( ~ sQ2_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f6812,f1895,f1856]) ).
fof(f6986,plain,
( sQ132_spl
| ~ sQ2_spl
| h1(e12) != op2(h1(e10),h1(e10)) ),
inference(backward_demodulation,[status(thm)],[f1857,f2366]) ).
fof(f6988,plain,
( sQ201_spl
| ~ sQ2_spl
| h4(e12) != op2(h4(e10),h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f1857,f2585]) ).
fof(f6999,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4636,f213]) ).
fof(f7000,plain,
( ~ sQ54_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f6999]) ).
fof(f7005,plain,
( ~ sQ206_spl
| ~ sQ273_spl
| h4(e10) = op2(h4(e11),e20) ),
inference(backward_demodulation,[status(thm)],[f2892,f5825]) ).
fof(f7009,plain,
( ~ sQ273_spl
| h4(e13) = op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f2892,f4426]) ).
fof(f7025,plain,
( sQ168_spl
| ~ sQ54_spl
| ~ sQ165_spl
| ~ sQ83_spl
| e21 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f6767,f5702]) ).
fof(f7032,plain,
( sQ167_spl
| ~ sQ165_spl
| ~ sQ83_spl
| h2(op1(e13,e10)) != op2(e23,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f6767,f2475]) ).
fof(f7044,plain,
( sQ163_spl
| ~ sQ32_spl
| h2(e10) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1955,f4501]) ).
fof(f7059,plain,
( sQ178_spl
| ~ sQ2_spl
| h3(e12) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1857,f4487]) ).
fof(f7060,plain,
( sQ178_spl
| ~ sQ2_spl
| e22 != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f282,f7059]) ).
fof(f7061,plain,
( sQ155_spl
| ~ sQ2_spl
| h2(e12) != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1857,f2439]) ).
fof(f7062,plain,
( sQ155_spl
| ~ sQ2_spl
| e21 != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f278,f7061]) ).
fof(f7071,plain,
( ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ252_spl
| e21 = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f2803,f6464]) ).
fof(f7072,plain,
( sQ147_spl
| ~ sQ61_spl
| h1(e11) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f2049,f2411]) ).
fof(f7073,plain,
( sQ147_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ252_spl
| e21 != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f7071,f7072]) ).
fof(f7074,plain,
( sQ147_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ252_spl
| ~ sQ247_spl
| e21 != op2(e22,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f2781,f7073]) ).
fof(f7075,plain,
( sQ147_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ252_spl
| ~ sQ247_spl
| e21 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2781,f7074]) ).
fof(f7076,plain,
( sQ147_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ252_spl
| ~ sQ247_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f272,f7075]) ).
fof(f7077,plain,
( sQ147_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ252_spl
| ~ sQ247_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7076]) ).
fof(f7078,plain,
( sQ147_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ252_spl
| ~ sQ247_spl ),
inference(contradiction_clause,[status(thm)],[f7077]) ).
fof(f7090,plain,
( ~ sQ142_spl
| ~ sQ66_spl
| h1(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f2097,f4895]) ).
fof(f7095,plain,
( ~ sQ142_spl
| ~ sQ66_spl
| h1(e10) = op2(e22,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f7090,f5998]) ).
fof(f7096,plain,
( ~ sQ142_spl
| ~ sQ66_spl
| h1(e10) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f7090,f7095]) ).
fof(f7097,plain,
( ~ sQ142_spl
| ~ sQ66_spl
| h1(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f272,f7096]) ).
fof(f7098,plain,
( ~ sQ142_spl
| ~ sQ66_spl
| sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7097,f2753]) ).
fof(f7099,plain,
( ~ sQ142_spl
| ~ sQ66_spl
| sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f7098]) ).
fof(f7102,plain,
( sQ245_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f7090,f2774]) ).
fof(f7103,plain,
( sQ245_spl
| ~ sQ142_spl
| ~ sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7102]) ).
fof(f7104,plain,
( sQ245_spl
| ~ sQ142_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f7103]) ).
fof(f7105,plain,
( sQ133_spl
| ~ sQ142_spl
| ~ sQ66_spl
| h1(op1(e10,e11)) != op2(h1(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f7090,f2369]) ).
fof(f7109,plain,
( sQ138_spl
| ~ sQ26_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e20 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f7090,f6173]) ).
fof(f7110,plain,
( sQ138_spl
| ~ sQ26_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ96_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2195,f7109]) ).
fof(f7111,plain,
( sQ138_spl
| ~ sQ26_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7110]) ).
fof(f7112,plain,
( sQ138_spl
| ~ sQ26_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f7111]) ).
fof(f7115,plain,
( ~ sQ69_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f6275,f2119,f2106]) ).
fof(f7122,plain,
( sQ143_spl
| ~ sQ46_spl
| h1(e12) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f2000,f4505]) ).
fof(f7123,plain,
( sQ143_spl
| ~ sQ46_spl
| e20 != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f274,f7122]) ).
fof(f7129,plain,
( ~ sQ73_spl
| ~ sQ72_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2117,f2120]) ).
fof(f7130,plain,
( ~ sQ73_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7129,f218]) ).
fof(f7131,plain,
( ~ sQ73_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f7130]) ).
fof(f7134,plain,
( sQ166_spl
| ~ sQ46_spl
| e21 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f278,f6919]) ).
fof(f7135,plain,
( sQ166_spl
| ~ sQ46_spl
| ~ sQ165_spl
| ~ sQ83_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f6767,f7134]) ).
fof(f7136,plain,
( sQ166_spl
| ~ sQ46_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ93_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2185,f7135]) ).
fof(f7137,plain,
( sQ166_spl
| ~ sQ46_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ93_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7136]) ).
fof(f7138,plain,
( sQ166_spl
| ~ sQ46_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f7137]) ).
fof(f7150,plain,
( sQ174_spl
| ~ sQ165_spl
| ~ sQ142_spl
| h1(e11) != e23 ),
inference(forward_demodulation,[status(thm)],[f6464,f2496]) ).
fof(f7155,plain,
( sQ157_spl
| ~ sQ165_spl
| ~ sQ142_spl
| h2(op1(e10,e12)) != op2(h1(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f6464,f4503]) ).
fof(f7156,plain,
( sQ159_spl
| ~ sQ17_spl
| ~ sQ165_spl
| ~ sQ142_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6464,f5974]) ).
fof(f7157,plain,
( sQ159_spl
| ~ sQ17_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ141_spl
| e20 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f5106,f7156]) ).
fof(f7160,plain,
( ~ sQ240_spl
| ~ sQ236_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2735,f2752]) ).
fof(f7161,plain,
( ~ sQ240_spl
| ~ sQ236_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7160,f218]) ).
fof(f7162,plain,
( ~ sQ240_spl
| ~ sQ236_spl ),
inference(contradiction_clause,[status(thm)],[f7161]) ).
fof(f7174,plain,
( sQ156_spl
| ~ sQ165_spl
| ~ sQ142_spl
| h2(op1(e10,e11)) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f6464,f6459]) ).
fof(f7176,plain,
( sQ256_spl
| ~ sQ165_spl
| ~ sQ142_spl
| h1(e11) != e22 ),
inference(forward_demodulation,[status(thm)],[f6464,f2821]) ).
fof(f7182,plain,
( ~ sQ165_spl
| ~ sQ113_spl
| h2(e13) != e21 ),
inference(forward_demodulation,[status(thm)],[f2250,f6053]) ).
fof(f7183,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ165_spl
| e20 != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f5474,f6933]) ).
fof(f7184,plain,
( sQ193_spl
| ~ sQ61_spl
| e21 != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f4416,f6934]) ).
fof(f7187,plain,
( sQ170_spl
| ~ sQ61_spl
| h2(e11) != op2(h2(e13),h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f2049,f2484]) ).
fof(f7202,plain,
( sQ156_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ5_spl
| h2(e11) != op2(h1(e11),e20) ),
inference(backward_demodulation,[status(thm)],[f1867,f7174]) ).
fof(f7208,plain,
( sQ179_spl
| ~ sQ5_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f6967,f2106,f1866,f2513]) ).
fof(f7211,plain,
( ~ sQ70_spl
| ~ sQ69_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f2107,f2110]) ).
fof(f7212,plain,
( ~ sQ70_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7211,f221]) ).
fof(f7213,plain,
( ~ sQ70_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f7212]) ).
fof(f7222,plain,
( ~ sQ59_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f6193,f2015,f2041]) ).
fof(f7224,plain,
( sQ146_spl
| ~ sQ59_spl
| h1(e13) != op2(h1(e13),e20) ),
inference(backward_demodulation,[status(thm)],[f2042,f4504]) ).
fof(f7229,plain,
( ~ sQ59_spl
| op1(e10,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f2042,f130]) ).
fof(f7237,plain,
( ~ sQ255_spl
| ~ sQ165_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2815,f7182]) ).
fof(f7238,plain,
( ~ sQ255_spl
| ~ sQ165_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f7237]) ).
fof(f7239,plain,
( ~ sQ165_spl
| ~ sQ255_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f5911,f2755,f2814,f2467]) ).
fof(f7242,plain,
( sQ182_spl
| ~ sQ165_spl
| ~ sQ255_spl
| ~ sQ17_spl
| h3(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f1906,f5918]) ).
fof(f7243,plain,
( sQ182_spl
| ~ sQ165_spl
| ~ sQ255_spl
| ~ sQ17_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4416,f7242]) ).
fof(f7244,plain,
( sQ182_spl
| ~ sQ165_spl
| ~ sQ255_spl
| ~ sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7243]) ).
fof(f7245,plain,
( sQ182_spl
| ~ sQ165_spl
| ~ sQ255_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f7244]) ).
fof(f7246,plain,
( sQ168_spl
| ~ sQ54_spl
| ~ sQ165_spl
| ~ sQ255_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f5703,f2145,f2814,f2467,f2025,f2476]) ).
fof(f7250,plain,
( sQ167_spl
| ~ sQ165_spl
| ~ sQ142_spl
| h2(op1(e13,e10)) != op2(h2(e13),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6464,f2475]) ).
fof(f7251,plain,
( sQ167_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ255_spl
| h2(op1(e13,e10)) != op2(e21,h1(e11)) ),
inference(backward_demodulation,[status(thm)],[f7260,f7250]) ).
fof(f7260,plain,
( ~ sQ165_spl
| ~ sQ255_spl
| h2(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f5910,f5686]) ).
fof(f7270,plain,
( sQ185_spl
| ~ sQ31_spl
| h3(e13) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1951,f4471]) ).
fof(f7271,plain,
( sQ185_spl
| ~ sQ31_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f4418,f7270]) ).
fof(f7272,plain,
( sQ185_spl
| ~ sQ31_spl
| ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2191,f7271]) ).
fof(f7273,plain,
( sQ185_spl
| ~ sQ31_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7272]) ).
fof(f7274,plain,
( sQ185_spl
| ~ sQ31_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f7273]) ).
fof(f7291,plain,
( sQ162_spl
| ~ sQ165_spl
| ~ sQ81_spl
| ~ sQ31_spl
| h2(e13) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1951,f6243]) ).
fof(f7292,plain,
( sQ162_spl
| ~ sQ165_spl
| ~ sQ81_spl
| ~ sQ31_spl
| ~ sQ255_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f7260,f7291]) ).
fof(f7295,plain,
( sQ214_spl
| ~ sQ54_spl
| h4(e12) != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2026,f2624]) ).
fof(f7296,plain,
( sQ214_spl
| ~ sQ54_spl
| e23 != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f286,f7295]) ).
fof(f7297,plain,
( sQ208_spl
| ~ sQ31_spl
| h4(e13) != op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1951,f2606]) ).
fof(f7299,plain,
( ~ sQ125_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f5569,f2908,f2288]) ).
fof(f7300,plain,
( ~ sQ125_spl
| h4(e11) = e21 ),
inference(backward_demodulation,[status(thm)],[f2289,f288]) ).
fof(f7305,plain,
( ~ sQ11_spl
| e13 != op1(e10,e13) ),
inference(backward_demodulation,[status(thm)],[f1886,f145]) ).
fof(f7308,plain,
( ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f4645,f1859,f1885]) ).
fof(f7311,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| h2(op1(e10,e10)) != op2(h1(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f6464,f2439]) ).
fof(f7312,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| h2(op1(e10,e10)) != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6464,f7311]) ).
fof(f7313,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| h2(op1(e10,e10)) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f5998,f7312]) ).
fof(f7325,plain,
( ~ sQ142_spl
| ~ sQ237_spl
| e20 = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f2739,f4895]) ).
fof(f7327,plain,
( ~ sQ142_spl
| ~ sQ237_spl
| h1(e10) = op2(h1(e11),e20) ),
inference(backward_demodulation,[status(thm)],[f2739,f5998]) ).
fof(f7354,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f7229,f1885,f2041]) ).
fof(f7403,plain,
( sQ156_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ5_spl
| e20 != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f5474,f7202]) ).
fof(f7406,plain,
( sQ202_spl
| ~ sQ5_spl
| h4(e11) != op2(h4(e10),h4(e11)) ),
inference(backward_demodulation,[status(thm)],[f1867,f2588]) ).
fof(f7410,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ255_spl
| e20 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f7260,f7183]) ).
fof(f7411,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ255_spl
| e20 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7260,f7410]) ).
fof(f7412,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ255_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4817,f7411]) ).
fof(f7413,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7412]) ).
fof(f7414,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7413]) ).
fof(f7424,plain,
( sQ161_spl
| ~ sQ165_spl
| ~ sQ26_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f6174,f2106,f1934,f2467,f2455]) ).
fof(f7441,plain,
( sQ201_spl
| ~ sQ3_spl
| h4(e13) != op2(h4(e10),h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f1860,f2585]) ).
fof(f7442,plain,
( sQ132_spl
| ~ sQ3_spl
| h1(e13) != op2(h1(e10),h1(e10)) ),
inference(backward_demodulation,[status(thm)],[f1860,f2366]) ).
fof(f7443,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ3_spl
| h2(e13) != h1(e10) ),
inference(backward_demodulation,[status(thm)],[f1860,f7313]) ).
fof(f7451,plain,
( sQ193_spl
| ~ sQ61_spl
| ~ sQ277_spl ),
inference(split_clause,[status(thm)],[f7184,f2908,f2048,f2555]) ).
fof(f7469,plain,
( sQ204_spl
| ~ sQ14_spl
| e23 != op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f286,f4602]) ).
fof(f7475,plain,
( sQ204_spl
| ~ sQ14_spl
| h4(e12) != op2(h4(e10),h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f1896,f2594]) ).
fof(f7488,plain,
( ~ sQ69_spl
| sQ162_spl
| ~ sQ165_spl
| ~ sQ81_spl
| ~ sQ31_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2107,f7292]) ).
fof(f7489,plain,
( ~ sQ69_spl
| sQ162_spl
| ~ sQ165_spl
| ~ sQ81_spl
| ~ sQ31_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7488]) ).
fof(f7505,plain,
( ~ sQ138_spl
| ~ sQ26_spl
| h1(e12) = op2(h1(e11),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f1935,f2383]) ).
fof(f7506,plain,
( ~ sQ138_spl
| ~ sQ26_spl
| e20 = op2(h1(e11),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f274,f7505]) ).
fof(f7507,plain,
( ~ sQ138_spl
| ~ sQ26_spl
| e20 = op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f274,f7506]) ).
fof(f7508,plain,
( ~ sQ138_spl
| ~ sQ26_spl
| sQ156_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7507,f7403]) ).
fof(f7509,plain,
( ~ sQ138_spl
| ~ sQ26_spl
| sQ156_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f7508]) ).
fof(f7512,plain,
( sQ137_spl
| ~ sQ245_spl
| ~ sQ240_spl
| e21 != op2(h1(e11),e22) ),
inference(backward_demodulation,[status(thm)],[f2752,f5161]) ).
fof(f7513,plain,
( sQ137_spl
| ~ sQ240_spl
| e21 != op2(h1(e11),h1(e11)) ),
inference(backward_demodulation,[status(thm)],[f2752,f5440]) ).
fof(f7520,plain,
( sQ134_spl
| ~ sQ8_spl
| ~ sQ240_spl
| h1(e10) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f2752,f5311]) ).
fof(f7529,plain,
( sQ133_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ5_spl
| h1(e11) != op2(h1(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f1867,f7105]) ).
fof(f7530,plain,
( sQ133_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ5_spl
| e22 != op2(h1(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f7090,f7529]) ).
fof(f7531,plain,
( sQ133_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ5_spl
| ~ sQ240_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2752,f7530]) ).
fof(f7532,plain,
( sQ133_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ5_spl
| ~ sQ240_spl
| ~ sQ90_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2175,f7531]) ).
fof(f7533,plain,
( sQ133_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ5_spl
| ~ sQ240_spl
| ~ sQ90_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7532]) ).
fof(f7534,plain,
( sQ133_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ5_spl
| ~ sQ240_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f7533]) ).
fof(f7557,plain,
( ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| h1(e13) = e23 ),
inference(backward_demodulation,[status(thm)],[f2126,f6117]) ).
fof(f7561,plain,
( ~ sQ118_spl
| sQ191_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2266,f6958]) ).
fof(f7562,plain,
( ~ sQ118_spl
| sQ191_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f7561]) ).
fof(f7564,plain,
( sQ167_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ255_spl
| ~ sQ48_spl
| h2(e10) != op2(e21,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f2007,f7251]) ).
fof(f7565,plain,
( sQ167_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ255_spl
| ~ sQ48_spl
| ~ sQ66_spl
| h2(e10) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f7090,f7564]) ).
fof(f7566,plain,
( sQ167_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ255_spl
| ~ sQ48_spl
| ~ sQ66_spl
| ~ sQ90_spl
| h2(e10) != e22 ),
inference(forward_demodulation,[status(thm)],[f2175,f7565]) ).
fof(f7585,plain,
( ~ sQ125_spl
| h4(e13) = op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f7300,f4426]) ).
fof(f7586,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ125_spl
| h4(e13) != op2(e21,h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f7300,f7297]) ).
fof(f7587,plain,
( ~ sQ206_spl
| ~ sQ125_spl
| h4(e10) = op2(h4(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f7300,f5825]) ).
fof(f7589,plain,
( sQ214_spl
| ~ sQ54_spl
| ~ sQ125_spl
| e23 != op2(h4(e13),e21) ),
inference(backward_demodulation,[status(thm)],[f7300,f7296]) ).
fof(f7592,plain,
( sQ207_spl
| ~ sQ26_spl
| ~ sQ125_spl
| e23 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f7300,f6026]) ).
fof(f7627,plain,
( sQ256_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ245_spl ),
inference(split_clause,[status(thm)],[f7176,f2772,f2394,f2467,f2819]) ).
fof(f7628,plain,
( ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| h2(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f7090,f6464]) ).
fof(f7629,plain,
( ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| sQ167_spl
| ~ sQ255_spl
| ~ sQ48_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7628,f7566]) ).
fof(f7630,plain,
( ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| sQ167_spl
| ~ sQ255_spl
| ~ sQ48_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f7629]) ).
fof(f7632,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ66_spl
| h1(e13) = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f7090,f5106]) ).
fof(f7633,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ75_spl
| h1(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f2126,f7632]) ).
fof(f7634,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ75_spl
| sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7633,f2435]) ).
fof(f7635,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ75_spl
| sQ154_spl ),
inference(contradiction_clause,[status(thm)],[f7634]) ).
fof(f7641,plain,
( sQ159_spl
| ~ sQ17_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ141_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f7157,f2746,f2391,f2394,f2467,f1905,f2449]) ).
fof(f7652,plain,
( sQ139_spl
| ~ sQ239_spl
| ~ sQ31_spl
| h1(e13) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f1951,f5450]) ).
fof(f7653,plain,
( sQ139_spl
| ~ sQ239_spl
| ~ sQ31_spl
| e20 != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f2747,f7652]) ).
fof(f7654,plain,
( sQ139_spl
| ~ sQ239_spl
| ~ sQ31_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e20 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f7090,f7653]) ).
fof(f7655,plain,
( sQ139_spl
| ~ sQ239_spl
| ~ sQ31_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ96_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2195,f7654]) ).
fof(f7656,plain,
( sQ139_spl
| ~ sQ239_spl
| ~ sQ31_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7655]) ).
fof(f7657,plain,
( sQ139_spl
| ~ sQ239_spl
| ~ sQ31_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f7656]) ).
fof(f7662,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ3_spl
| ~ sQ255_spl
| e21 != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f7260,f7443]) ).
fof(f7663,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ3_spl
| ~ sQ255_spl
| ~ sQ240_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2752,f7662]) ).
fof(f7664,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ3_spl
| ~ sQ255_spl
| ~ sQ240_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7663]) ).
fof(f7665,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ3_spl
| ~ sQ255_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f7664]) ).
fof(f7687,plain,
( ~ sQ48_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f6597,f1954,f2006]) ).
fof(f7699,plain,
( ~ sQ48_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f6598,f2045,f2006]) ).
fof(f7714,plain,
( ~ sQ125_spl
| ~ sQ118_spl
| h4(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f2266,f7585]) ).
fof(f7715,plain,
( ~ sQ125_spl
| ~ sQ118_spl
| sQ283_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7714,f2935]) ).
fof(f7716,plain,
( ~ sQ125_spl
| ~ sQ118_spl
| sQ283_spl ),
inference(contradiction_clause,[status(thm)],[f7715]) ).
fof(f7717,plain,
( ~ sQ206_spl
| ~ sQ125_spl
| h4(e10) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7300,f7587]) ).
fof(f7718,plain,
( ~ sQ206_spl
| ~ sQ125_spl
| h4(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f4817,f7717]) ).
fof(f7719,plain,
( ~ sQ206_spl
| ~ sQ125_spl
| sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7718,f2889]) ).
fof(f7720,plain,
( ~ sQ206_spl
| ~ sQ125_spl
| sQ272_spl ),
inference(contradiction_clause,[status(thm)],[f7719]) ).
fof(f7729,plain,
( sQ216_spl
| ~ sQ61_spl
| ~ sQ125_spl
| e21 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7300,f6930]) ).
fof(f7747,plain,
( ~ sQ192_spl
| ~ sQ59_spl
| h3(e13) = op2(h3(e13),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2042,f2553]) ).
fof(f7748,plain,
( ~ sQ192_spl
| ~ sQ59_spl
| e23 = op2(h3(e13),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f4418,f7747]) ).
fof(f7749,plain,
( ~ sQ192_spl
| ~ sQ59_spl
| e23 = op2(e23,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f4418,f7748]) ).
fof(f7750,plain,
( ~ sQ192_spl
| ~ sQ59_spl
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f282,f7749]) ).
fof(f7751,plain,
( ~ sQ192_spl
| ~ sQ59_spl
| ~ sQ120_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f2273,f7750]) ).
fof(f7752,plain,
( ~ sQ192_spl
| ~ sQ59_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7751,f220]) ).
fof(f7753,plain,
( ~ sQ192_spl
| ~ sQ59_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f7752]) ).
fof(f7754,plain,
( ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6172,f223]) ).
fof(f7755,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f7754]) ).
fof(f7777,plain,
( ~ sQ142_spl
| ~ sQ237_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f7325,f2090,f2738,f2394]) ).
fof(f7779,plain,
( ~ sQ142_spl
| ~ sQ237_spl
| ~ sQ240_spl
| e21 = op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f2752,f7327]) ).
fof(f7780,plain,
( ~ sQ142_spl
| ~ sQ237_spl
| ~ sQ240_spl
| ~ sQ66_spl
| e21 = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f7090,f7779]) ).
fof(f7781,plain,
( ~ sQ142_spl
| ~ sQ237_spl
| ~ sQ240_spl
| ~ sQ66_spl
| ~ sQ96_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2195,f7780]) ).
fof(f7782,plain,
( ~ sQ142_spl
| ~ sQ237_spl
| ~ sQ240_spl
| ~ sQ66_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7781,f218]) ).
fof(f7783,plain,
( ~ sQ142_spl
| ~ sQ237_spl
| ~ sQ240_spl
| ~ sQ66_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f7782]) ).
fof(f7786,plain,
( ~ sQ120_spl
| op2(e23,e20) != e20 ),
inference(forward_demodulation,[status(thm)],[f2273,f207]) ).
fof(f7796,plain,
( sQ204_spl
| ~ sQ206_spl
| ~ sQ125_spl
| h4(op1(e10,e13)) != op2(e20,h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f7718,f2594]) ).
fof(f7798,plain,
( sQ205_spl
| ~ sQ272_spl
| ~ sQ17_spl
| h4(e11) != op2(h4(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f1906,f5273]) ).
fof(f7799,plain,
( sQ205_spl
| ~ sQ272_spl
| ~ sQ17_spl
| ~ sQ125_spl
| e21 != op2(h4(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f7300,f7798]) ).
fof(f7800,plain,
( sQ205_spl
| ~ sQ272_spl
| ~ sQ17_spl
| ~ sQ125_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f7300,f7799]) ).
fof(f7801,plain,
( sQ205_spl
| ~ sQ272_spl
| ~ sQ17_spl
| ~ sQ125_spl
| ~ sQ165_spl
| ~ sQ255_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5910,f7800]) ).
fof(f7802,plain,
( sQ205_spl
| ~ sQ272_spl
| ~ sQ17_spl
| ~ sQ125_spl
| ~ sQ165_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7801]) ).
fof(f7803,plain,
( sQ205_spl
| ~ sQ272_spl
| ~ sQ17_spl
| ~ sQ125_spl
| ~ sQ165_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7802]) ).
fof(f7804,plain,
( sQ202_spl
| ~ sQ272_spl
| ~ sQ5_spl
| h4(e11) != op2(e20,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1867,f4917]) ).
fof(f7805,plain,
( sQ202_spl
| ~ sQ272_spl
| ~ sQ5_spl
| ~ sQ125_spl
| e21 != op2(e20,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f7300,f7804]) ).
fof(f7806,plain,
( sQ202_spl
| ~ sQ272_spl
| ~ sQ5_spl
| ~ sQ125_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f7300,f7805]) ).
fof(f7807,plain,
( sQ202_spl
| ~ sQ272_spl
| ~ sQ5_spl
| ~ sQ125_spl
| ~ sQ69_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2107,f7806]) ).
fof(f7808,plain,
( sQ202_spl
| ~ sQ272_spl
| ~ sQ5_spl
| ~ sQ125_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7807]) ).
fof(f7809,plain,
( sQ202_spl
| ~ sQ272_spl
| ~ sQ5_spl
| ~ sQ125_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f7808]) ).
fof(f7826,plain,
( sQ203_spl
| ~ sQ206_spl
| ~ sQ125_spl
| h4(op1(e10,e12)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f7718,f4442]) ).
fof(f7841,plain,
( sQ215_spl
| ~ sQ59_spl
| h4(e13) != op2(h4(e13),e23) ),
inference(backward_demodulation,[status(thm)],[f2042,f4427]) ).
fof(f7857,plain,
( sQ212_spl
| ~ sQ44_spl
| h4(e10) != op2(e23,h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f1994,f4428]) ).
fof(f7863,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ48_spl
| h4(e10) != op2(h4(e13),e20) ),
inference(backward_demodulation,[status(thm)],[f2007,f5247]) ).
fof(f7881,plain,
( sQ216_spl
| ~ sQ61_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e21 != op2(h4(e13),e22) ),
inference(backward_demodulation,[status(thm)],[f7714,f7729]) ).
fof(f7882,plain,
( sQ214_spl
| ~ sQ54_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e23 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f7714,f7589]) ).
fof(f7883,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ125_spl
| ~ sQ118_spl
| h4(e13) != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f7714,f7586]) ).
fof(f7894,plain,
( sQ201_spl
| ~ sQ3_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e22 != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f7714,f7441]) ).
fof(f7895,plain,
( sQ201_spl
| ~ sQ3_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ206_spl
| e22 != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f7718,f7894]) ).
fof(f7896,plain,
( sQ201_spl
| ~ sQ3_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ206_spl
| e22 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f7718,f7895]) ).
fof(f7897,plain,
( sQ201_spl
| ~ sQ3_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ206_spl
| ~ sQ66_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2097,f7896]) ).
fof(f7898,plain,
( sQ201_spl
| ~ sQ3_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ206_spl
| ~ sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7897]) ).
fof(f7899,plain,
( sQ201_spl
| ~ sQ3_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ206_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f7898]) ).
fof(f7911,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ206_spl
| ~ sQ125_spl
| e20 != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f7718,f5315]) ).
fof(f7912,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ206_spl
| ~ sQ125_spl
| e20 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f7718,f7911]) ).
fof(f7913,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ76_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2130,f7912]) ).
fof(f7914,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7913]) ).
fof(f7915,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f7914]) ).
fof(f7917,plain,
( sQ204_spl
| ~ sQ14_spl
| ~ sQ206_spl
| ~ sQ125_spl
| e23 != op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7718,f7469]) ).
fof(f7918,plain,
( sQ204_spl
| ~ sQ14_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e23 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f7714,f7917]) ).
fof(f7919,plain,
( sQ204_spl
| ~ sQ14_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ75_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2126,f7918]) ).
fof(f7920,plain,
( sQ204_spl
| ~ sQ14_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ75_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7919]) ).
fof(f7921,plain,
( sQ204_spl
| ~ sQ14_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f7920]) ).
fof(f7931,plain,
( sQ238_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f274,f2744]) ).
fof(f7932,plain,
( sQ238_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7931]) ).
fof(f7933,plain,
sQ238_spl,
inference(contradiction_clause,[status(thm)],[f7932]) ).
fof(f7953,plain,
( sQ215_spl
| ~ sQ59_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e22 != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f7714,f7841]) ).
fof(f7954,plain,
( sQ215_spl
| ~ sQ59_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e22 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f7714,f7953]) ).
fof(f7955,plain,
( sQ215_spl
| ~ sQ59_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ110_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2240,f7954]) ).
fof(f7956,plain,
( sQ215_spl
| ~ sQ59_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ110_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7955]) ).
fof(f7957,plain,
( sQ215_spl
| ~ sQ59_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f7956]) ).
fof(f7961,plain,
( sQ212_spl
| ~ sQ44_spl
| ~ sQ206_spl
| ~ sQ125_spl
| e20 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7718,f7857]) ).
fof(f7962,plain,
( sQ212_spl
| ~ sQ44_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f7714,f7961]) ).
fof(f7963,plain,
( sQ212_spl
| ~ sQ44_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ120_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2273,f7962]) ).
fof(f7964,plain,
( sQ212_spl
| ~ sQ44_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ120_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7963]) ).
fof(f7965,plain,
( sQ212_spl
| ~ sQ44_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f7964]) ).
fof(f7968,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ48_spl
| ~ sQ206_spl
| ~ sQ125_spl
| e20 != op2(h4(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f7718,f7863]) ).
fof(f7969,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ48_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e20 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f7714,f7968]) ).
fof(f7970,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ48_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ96_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2195,f7969]) ).
fof(f7971,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ48_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7970]) ).
fof(f7972,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ48_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f7971]) ).
fof(f7973,plain,
( sQ216_spl
| ~ sQ61_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e21 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f7714,f7881]) ).
fof(f7974,plain,
( sQ216_spl
| ~ sQ61_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f272,f7973]) ).
fof(f7975,plain,
( sQ216_spl
| ~ sQ61_spl
| ~ sQ125_spl
| ~ sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7974]) ).
fof(f7976,plain,
( sQ216_spl
| ~ sQ61_spl
| ~ sQ125_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f7975]) ).
fof(f7977,plain,
( sQ214_spl
| ~ sQ54_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4399,f7882]) ).
fof(f7978,plain,
( sQ214_spl
| ~ sQ54_spl
| ~ sQ125_spl
| ~ sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7977]) ).
fof(f7979,plain,
( sQ214_spl
| ~ sQ54_spl
| ~ sQ125_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f7978]) ).
fof(f7980,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f7714,f7883]) ).
fof(f7981,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ90_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2175,f7980]) ).
fof(f7982,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ90_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7981]) ).
fof(f7983,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f7982]) ).
fof(f8038,plain,
( sQ207_spl
| ~ sQ26_spl
| ~ sQ125_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f7592,f2190,f2288,f1934,f2601]) ).
fof(f8043,plain,
( sQ209_spl
| ~ sQ34_spl
| h4(e12) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1961,f4440]) ).
fof(f8044,plain,
( sQ209_spl
| ~ sQ34_spl
| e23 != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f286,f8043]) ).
fof(f8045,plain,
( sQ209_spl
| ~ sQ34_spl
| ~ sQ206_spl
| ~ sQ125_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f7718,f8044]) ).
fof(f8046,plain,
( sQ209_spl
| ~ sQ34_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ115_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2256,f8045]) ).
fof(f8047,plain,
( sQ209_spl
| ~ sQ34_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ115_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8046]) ).
fof(f8048,plain,
( sQ209_spl
| ~ sQ34_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f8047]) ).
fof(f8051,plain,
( sQ140_spl
| ~ sQ32_spl
| ~ sQ240_spl
| e21 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f2752,f6976]) ).
fof(f8052,plain,
( sQ140_spl
| ~ sQ32_spl
| ~ sQ240_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2752,f8051]) ).
fof(f8053,plain,
( sQ140_spl
| ~ sQ32_spl
| ~ sQ240_spl
| ~ sQ69_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2107,f8052]) ).
fof(f8054,plain,
( sQ140_spl
| ~ sQ32_spl
| ~ sQ240_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8053]) ).
fof(f8055,plain,
( sQ140_spl
| ~ sQ32_spl
| ~ sQ240_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f8054]) ).
fof(f8056,plain,
( sQ135_spl
| ~ sQ240_spl
| h1(op1(e10,e13)) != op2(e21,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f2752,f2375]) ).
fof(f8057,plain,
( sQ135_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| h1(op1(e10,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f7557,f8056]) ).
fof(f8058,plain,
( sQ135_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ95_spl
| h1(op1(e10,e13)) != e23 ),
inference(forward_demodulation,[status(thm)],[f2191,f8057]) ).
fof(f8068,plain,
( sQ132_spl
| ~ sQ2_spl
| e20 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f274,f6986]) ).
fof(f8069,plain,
( sQ132_spl
| ~ sQ2_spl
| ~ sQ240_spl
| e20 != op2(e21,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f2752,f8068]) ).
fof(f8070,plain,
( sQ132_spl
| ~ sQ2_spl
| ~ sQ240_spl
| e20 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2752,f8069]) ).
fof(f8071,plain,
( sQ132_spl
| ~ sQ2_spl
| ~ sQ240_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4817,f8070]) ).
fof(f8072,plain,
( sQ132_spl
| ~ sQ2_spl
| ~ sQ240_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8071]) ).
fof(f8073,plain,
( sQ132_spl
| ~ sQ2_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f8072]) ).
fof(f8077,plain,
( sQ190_spl
| ~ sQ51_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f6937,f2255,f2015,f2546]) ).
fof(f8096,plain,
( sQ212_spl
| ~ sQ46_spl
| h4(e12) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2000,f4428]) ).
fof(f8097,plain,
( sQ212_spl
| ~ sQ46_spl
| e23 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f286,f8096]) ).
fof(f8098,plain,
( sQ212_spl
| ~ sQ46_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e23 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f7714,f8097]) ).
fof(f8114,plain,
( sQ137_spl
| ~ sQ245_spl
| ~ sQ240_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e21 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f7090,f7512]) ).
fof(f8115,plain,
( sQ137_spl
| ~ sQ245_spl
| ~ sQ240_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f272,f8114]) ).
fof(f8116,plain,
( sQ137_spl
| ~ sQ245_spl
| ~ sQ240_spl
| ~ sQ142_spl
| ~ sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8115]) ).
fof(f8117,plain,
( sQ137_spl
| ~ sQ245_spl
| ~ sQ240_spl
| ~ sQ142_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f8116]) ).
fof(f8138,plain,
( sQ169_spl
| ~ sQ56_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e22 != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f7628,f6064]) ).
fof(f8149,plain,
( sQ158_spl
| ~ sQ12_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e22 != op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f7628,f5969]) ).
fof(f8150,plain,
( sQ158_spl
| ~ sQ12_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e22 != op2(e22,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f7628,f8149]) ).
fof(f8155,plain,
( sQ181_spl
| ~ sQ12_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f5937,f2129,f1889,f2519]) ).
fof(f8157,plain,
( sQ157_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| h2(op1(e10,e12)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f7090,f7155]) ).
fof(f8158,plain,
( sQ157_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| h2(op1(e10,e12)) != e23 ),
inference(forward_demodulation,[status(thm)],[f4399,f8157]) ).
fof(f8165,plain,
( ~ sQ204_spl
| ~ sQ12_spl
| h4(e10) = op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1890,f2593]) ).
fof(f8166,plain,
( ~ sQ204_spl
| ~ sQ12_spl
| ~ sQ206_spl
| ~ sQ125_spl
| e20 = op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7718,f8165]) ).
fof(f8167,plain,
( ~ sQ204_spl
| ~ sQ12_spl
| ~ sQ206_spl
| ~ sQ125_spl
| e20 = op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7718,f8166]) ).
fof(f8168,plain,
( ~ sQ75_spl
| ~ sQ204_spl
| ~ sQ12_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e20 = e23 ),
inference(backward_demodulation,[status(thm)],[f8169,f2126]) ).
fof(f8169,plain,
( ~ sQ204_spl
| ~ sQ12_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e20 = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f7714,f8167]) ).
fof(f8213,plain,
( ~ sQ75_spl
| ~ sQ204_spl
| ~ sQ12_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8168,f220]) ).
fof(f8214,plain,
( ~ sQ75_spl
| ~ sQ204_spl
| ~ sQ12_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f8213]) ).
fof(f8226,plain,
( sQ136_spl
| ~ sQ142_spl
| ~ sQ66_spl
| h1(op1(e11,e10)) != op2(e22,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f7090,f2378]) ).
fof(f8227,plain,
( sQ136_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ240_spl
| h1(op1(e11,e10)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2752,f8226]) ).
fof(f8228,plain,
( sQ136_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ240_spl
| h1(op1(e11,e10)) != e23 ),
inference(forward_demodulation,[status(thm)],[f4399,f8227]) ).
fof(f8260,plain,
( sQ134_spl
| ~ sQ8_spl
| ~ sQ240_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2752,f7520]) ).
fof(f8261,plain,
( sQ134_spl
| ~ sQ8_spl
| ~ sQ240_spl
| ~ sQ165_spl
| ~ sQ255_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5910,f8260]) ).
fof(f8262,plain,
( sQ134_spl
| ~ sQ8_spl
| ~ sQ240_spl
| ~ sQ165_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8261]) ).
fof(f8263,plain,
( sQ134_spl
| ~ sQ8_spl
| ~ sQ240_spl
| ~ sQ165_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f8262]) ).
fof(f8276,plain,
( ~ sQ15_spl
| e13 != op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f1899,f134]) ).
fof(f8279,plain,
( sQ135_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ95_spl
| ~ sQ15_spl
| h1(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f1899,f8058]) ).
fof(f8280,plain,
( sQ135_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ95_spl
| ~ sQ15_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f7557,f8279]) ).
fof(f8281,plain,
( sQ135_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ95_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8280]) ).
fof(f8282,plain,
( sQ135_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ95_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f8281]) ).
fof(f8283,plain,
( ~ sQ204_spl
| ~ sQ15_spl
| h4(e13) = op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1899,f2593]) ).
fof(f8284,plain,
( ~ sQ204_spl
| ~ sQ15_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e22 = op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7714,f8283]) ).
fof(f8285,plain,
( ~ sQ204_spl
| ~ sQ15_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ206_spl
| e22 = op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7718,f8284]) ).
fof(f8286,plain,
( ~ sQ75_spl
| ~ sQ204_spl
| ~ sQ15_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ206_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f8287,f2126]) ).
fof(f8287,plain,
( ~ sQ204_spl
| ~ sQ15_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ206_spl
| e22 = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f7714,f8285]) ).
fof(f8295,plain,
( sQ144_spl
| ~ sQ49_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e22 != op2(h1(e13),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f7090,f6028]) ).
fof(f8296,plain,
( sQ144_spl
| ~ sQ49_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| e22 != op2(e23,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f7557,f8295]) ).
fof(f8297,plain,
( sQ144_spl
| ~ sQ49_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ240_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2752,f8296]) ).
fof(f8298,plain,
( sQ144_spl
| ~ sQ49_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ240_spl
| ~ sQ118_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2266,f8297]) ).
fof(f8299,plain,
( sQ144_spl
| ~ sQ49_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ240_spl
| ~ sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8298]) ).
fof(f8300,plain,
( sQ144_spl
| ~ sQ49_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ240_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f8299]) ).
fof(f8311,plain,
( sQ136_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ240_spl
| ~ sQ19_spl
| h1(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f1912,f8228]) ).
fof(f8331,plain,
( ~ sQ75_spl
| ~ sQ204_spl
| ~ sQ15_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8286,f223]) ).
fof(f8332,plain,
( ~ sQ75_spl
| ~ sQ204_spl
| ~ sQ15_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ206_spl ),
inference(contradiction_clause,[status(thm)],[f8331]) ).
fof(f8442,plain,
( sQ204_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ12_spl
| h4(e10) != op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1890,f7796]) ).
fof(f8443,plain,
( sQ204_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ12_spl
| e20 != op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7718,f8442]) ).
fof(f8444,plain,
( sQ204_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ12_spl
| ~ sQ118_spl
| e20 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f7714,f8443]) ).
fof(f8456,plain,
( ~ sQ138_spl
| ~ sQ26_spl
| h1(e12) = op2(h1(e11),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f1935,f2383]) ).
fof(f8457,plain,
( ~ sQ138_spl
| ~ sQ26_spl
| e20 = op2(h1(e11),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f274,f8456]) ).
fof(f8458,plain,
( ~ sQ138_spl
| ~ sQ26_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e20 = op2(e22,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f7090,f8457]) ).
fof(f8459,plain,
( ~ sQ138_spl
| ~ sQ26_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e20 = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f274,f8458]) ).
fof(f8468,plain,
( sQ178_spl
| ~ sQ2_spl
| ~ sQ245_spl ),
inference(split_clause,[status(thm)],[f7060,f2772,f1856,f2510]) ).
fof(f8489,plain,
( sQ157_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ11_spl
| h2(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f1886,f8158]) ).
fof(f8498,plain,
( sQ180_spl
| ~ sQ75_spl
| ~ sQ11_spl
| h3(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f1886,f4588]) ).
fof(f8499,plain,
( sQ180_spl
| ~ sQ75_spl
| ~ sQ11_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4418,f8498]) ).
fof(f8500,plain,
( sQ180_spl
| ~ sQ75_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8499]) ).
fof(f8501,plain,
( sQ180_spl
| ~ sQ75_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f8500]) ).
fof(f8510,plain,
( sQ192_spl
| ~ sQ59_spl
| h3(e13) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2042,f4447]) ).
fof(f8511,plain,
( sQ192_spl
| ~ sQ59_spl
| e23 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f4418,f8510]) ).
fof(f8569,plain,
( sQ136_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ240_spl
| ~ sQ19_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f8311,f2433,f1911,f2751,f2096,f2394,f2376]) ).
fof(f8655,plain,
( sQ155_spl
| ~ sQ2_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e21 != op2(e22,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f7628,f7062]) ).
fof(f8656,plain,
( sQ155_spl
| ~ sQ2_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e21 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f7628,f8655]) ).
fof(f8657,plain,
( sQ155_spl
| ~ sQ2_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f272,f8656]) ).
fof(f8658,plain,
( sQ155_spl
| ~ sQ2_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8657]) ).
fof(f8659,plain,
( sQ155_spl
| ~ sQ2_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f8658]) ).
fof(f8665,plain,
( sQ201_spl
| ~ sQ2_spl
| e23 != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f286,f6988]) ).
fof(f8666,plain,
( sQ201_spl
| ~ sQ2_spl
| ~ sQ206_spl
| ~ sQ125_spl
| e23 != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f7718,f8665]) ).
fof(f8667,plain,
( sQ201_spl
| ~ sQ2_spl
| ~ sQ206_spl
| ~ sQ125_spl
| e23 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f7718,f8666]) ).
fof(f8673,plain,
( sQ163_spl
| ~ sQ32_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e22 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f7628,f7044]) ).
fof(f8674,plain,
( sQ163_spl
| ~ sQ32_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f7628,f8673]) ).
fof(f8675,plain,
( sQ163_spl
| ~ sQ32_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ90_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2175,f8674]) ).
fof(f8676,plain,
( sQ163_spl
| ~ sQ32_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ90_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8675]) ).
fof(f8677,plain,
( sQ163_spl
| ~ sQ32_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f8676]) ).
fof(f8678,plain,
( sQ139_spl
| ~ sQ245_spl
| ~ sQ29_spl
| h1(e11) != op2(e22,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f1945,f6116]) ).
fof(f8679,plain,
( sQ139_spl
| ~ sQ245_spl
| ~ sQ29_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e22 != op2(e22,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f7090,f8678]) ).
fof(f8680,plain,
( sQ139_spl
| ~ sQ245_spl
| ~ sQ29_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ141_spl
| ~ sQ75_spl
| e22 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f7557,f8679]) ).
fof(f8681,plain,
( sQ139_spl
| ~ sQ245_spl
| ~ sQ29_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ141_spl
| ~ sQ75_spl
| ~ sQ110_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2240,f8680]) ).
fof(f8682,plain,
( sQ139_spl
| ~ sQ245_spl
| ~ sQ29_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ141_spl
| ~ sQ75_spl
| ~ sQ110_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8681]) ).
fof(f8683,plain,
( sQ139_spl
| ~ sQ245_spl
| ~ sQ29_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ141_spl
| ~ sQ75_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f8682]) ).
fof(f8693,plain,
( sQ145_spl
| ~ sQ54_spl
| h1(e12) != op2(h1(e13),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f2026,f2405]) ).
fof(f8694,plain,
( sQ145_spl
| ~ sQ54_spl
| e20 != op2(h1(e13),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f8693]) ).
fof(f8695,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| e20 != op2(e23,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f7557,f8694]) ).
fof(f8696,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f7090,f8695]) ).
fof(f8697,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ120_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2273,f8696]) ).
fof(f8698,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ120_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8697]) ).
fof(f8699,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f8698]) ).
fof(f8704,plain,
( sQ147_spl
| ~ sQ60_spl
| h1(e10) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f2046,f2411]) ).
fof(f8705,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ240_spl
| e21 != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f2752,f8704]) ).
fof(f8706,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| e21 != op2(e23,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f7557,f8705]) ).
fof(f8707,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f7557,f8706]) ).
fof(f8708,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ125_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2289,f8707]) ).
fof(f8709,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8708]) ).
fof(f8710,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8709]) ).
fof(f8712,plain,
( sQ146_spl
| ~ sQ59_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| e23 != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f7557,f7224]) ).
fof(f8713,plain,
( sQ146_spl
| ~ sQ59_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f7557,f8712]) ).
fof(f8714,plain,
( sQ146_spl
| ~ sQ59_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ115_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2256,f8713]) ).
fof(f8715,plain,
( sQ146_spl
| ~ sQ59_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ115_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8714]) ).
fof(f8716,plain,
( sQ146_spl
| ~ sQ59_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f8715]) ).
fof(f8725,plain,
( sQ143_spl
| ~ sQ46_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| e20 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f7557,f6452]) ).
fof(f8726,plain,
( sQ143_spl
| ~ sQ46_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ76_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2130,f8725]) ).
fof(f8727,plain,
( sQ143_spl
| ~ sQ46_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8726]) ).
fof(f8728,plain,
( sQ143_spl
| ~ sQ46_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ75_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f8727]) ).
fof(f8729,plain,
( sQ157_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ11_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f8489,f2506,f1885,f2096,f2394,f2467,f2443]) ).
fof(f8731,plain,
( ~ sQ120_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f7786,f2246,f2272]) ).
fof(f8745,plain,
( ~ sQ119_spl
| ~ sQ118_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f2266,f2269]) ).
fof(f8746,plain,
( ~ sQ119_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8745,f223]) ).
fof(f8747,plain,
( ~ sQ119_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f8746]) ).
fof(f8763,plain,
( ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ256_spl
| e22 = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f2820,f6464]) ).
fof(f8775,plain,
( sQ66_spl
| ~ sQ142_spl
| ~ sQ165_spl
| ~ sQ256_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f8763,f5213]) ).
fof(f8776,plain,
( sQ66_spl
| ~ sQ142_spl
| ~ sQ165_spl
| ~ sQ256_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8775]) ).
fof(f8777,plain,
( sQ66_spl
| ~ sQ142_spl
| ~ sQ165_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f8776]) ).
fof(f8788,plain,
( sQ192_spl
| ~ sQ59_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f8511,f2281,f2041,f2552]) ).
fof(f8878,plain,
( ~ sQ142_spl
| ~ sQ67_spl
| h1(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f2100,f4895]) ).
fof(f8879,plain,
( ~ sQ142_spl
| ~ sQ67_spl
| sQ174_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8878,f7150]) ).
fof(f8880,plain,
( ~ sQ142_spl
| ~ sQ67_spl
| sQ174_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f8879]) ).
fof(f8911,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| h1(e13) = op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f8878,f5106]) ).
fof(f8912,plain,
( sQ138_spl
| ~ sQ26_spl
| ~ sQ142_spl
| ~ sQ67_spl
| e20 != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f8878,f6173]) ).
fof(f8915,plain,
( ~ sQ142_spl
| ~ sQ67_spl
| h1(e10) = op2(h1(e11),e23) ),
inference(backward_demodulation,[status(thm)],[f8878,f5998]) ).
fof(f8916,plain,
( sQ152_spl
| ~ sQ142_spl
| ~ sQ67_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f8878,f2427]) ).
fof(f8917,plain,
( sQ152_spl
| ~ sQ142_spl
| ~ sQ67_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8916]) ).
fof(f8918,plain,
( sQ152_spl
| ~ sQ142_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f8917]) ).
fof(f8920,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| h1(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f2136,f8911]) ).
fof(f8921,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8920,f2782]) ).
fof(f8922,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| sQ247_spl ),
inference(contradiction_clause,[status(thm)],[f8921]) ).
fof(f8923,plain,
( sQ138_spl
| ~ sQ26_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f8912,f2246,f2099,f2394,f1934,f2382]) ).
fof(f8924,plain,
( ~ sQ142_spl
| ~ sQ67_spl
| h1(e10) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f8878,f8915]) ).
fof(f8925,plain,
( ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| h1(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f2289,f8924]) ).
fof(f8926,plain,
( ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8925,f2753]) ).
fof(f8927,plain,
( ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f8926]) ).
fof(f8933,plain,
( sQ137_spl
| ~ sQ240_spl
| ~ sQ142_spl
| ~ sQ67_spl
| e21 != op2(e23,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f8878,f7513]) ).
fof(f8934,plain,
( sQ137_spl
| ~ sQ240_spl
| ~ sQ142_spl
| ~ sQ67_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f8878,f8933]) ).
fof(f8935,plain,
( sQ137_spl
| ~ sQ240_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2289,f8934]) ).
fof(f8936,plain,
( sQ137_spl
| ~ sQ240_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8935]) ).
fof(f8937,plain,
( sQ137_spl
| ~ sQ240_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8936]) ).
fof(f8961,plain,
( sQ136_spl
| ~ sQ19_spl
| h1(e13) != op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1912,f2378]) ).
fof(f8962,plain,
( sQ136_spl
| ~ sQ19_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| e22 != op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f8920,f8961]) ).
fof(f8963,plain,
( sQ136_spl
| ~ sQ19_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| e22 != op2(e23,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f8878,f8962]) ).
fof(f8964,plain,
( sQ136_spl
| ~ sQ19_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ125_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f8925,f8963]) ).
fof(f8965,plain,
( sQ136_spl
| ~ sQ19_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2266,f8964]) ).
fof(f8966,plain,
( sQ136_spl
| ~ sQ19_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ125_spl
| ~ sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8965]) ).
fof(f8967,plain,
( sQ136_spl
| ~ sQ19_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ125_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f8966]) ).
fof(f8968,plain,
( sQ135_spl
| ~ sQ240_spl
| ~ sQ15_spl
| h1(e13) != op2(e21,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f1899,f8056]) ).
fof(f8969,plain,
( sQ135_spl
| ~ sQ240_spl
| ~ sQ15_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| e22 != op2(e21,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f8920,f8968]) ).
fof(f8970,plain,
( sQ135_spl
| ~ sQ240_spl
| ~ sQ15_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f8920,f8969]) ).
fof(f8971,plain,
( sQ135_spl
| ~ sQ240_spl
| ~ sQ15_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ90_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2175,f8970]) ).
fof(f8972,plain,
( sQ135_spl
| ~ sQ240_spl
| ~ sQ15_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ90_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8971]) ).
fof(f8973,plain,
( sQ135_spl
| ~ sQ240_spl
| ~ sQ15_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f8972]) ).
fof(f8984,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f8276,f1950,f1898]) ).
fof(f9038,plain,
( ~ sQ11_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f7305,f1898,f1885]) ).
fof(f9043,plain,
( sQ133_spl
| ~ sQ5_spl
| h1(e11) != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1867,f2369]) ).
fof(f9044,plain,
( sQ133_spl
| ~ sQ5_spl
| ~ sQ142_spl
| ~ sQ67_spl
| e23 != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f8878,f9043]) ).
fof(f9045,plain,
( sQ133_spl
| ~ sQ5_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| e23 != op2(e21,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f8925,f9044]) ).
fof(f9046,plain,
( sQ133_spl
| ~ sQ5_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f8878,f9045]) ).
fof(f9047,plain,
( sQ133_spl
| ~ sQ5_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2191,f9046]) ).
fof(f9048,plain,
( sQ133_spl
| ~ sQ5_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9047]) ).
fof(f9049,plain,
( sQ133_spl
| ~ sQ5_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f9048]) ).
fof(f9070,plain,
( sQ204_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ12_spl
| ~ sQ118_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f8444,f2116,f2265,f1889,f2288,f2598,f2592]) ).
fof(f9082,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f6814,f1882,f1856]) ).
fof(f9084,plain,
( ~ sQ46_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f6921,f1947,f1999]) ).
fof(f9150,plain,
( sQ201_spl
| ~ sQ2_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f8667,f2099,f2288,f2598,f1856,f2583]) ).
fof(f9192,plain,
( sQ215_spl
| ~ sQ56_spl
| h4(e10) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f2033,f4427]) ).
fof(f9193,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ206_spl
| ~ sQ125_spl
| e20 != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f7718,f9192]) ).
fof(f9194,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f7714,f9193]) ).
fof(f9195,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ108_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2234,f9194]) ).
fof(f9196,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ108_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9195]) ).
fof(f9197,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f9196]) ).
fof(f9206,plain,
( sQ212_spl
| ~ sQ46_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f8098,f2281,f2265,f2288,f1999,f2616]) ).
fof(f9229,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ51_spl
| h4(e13) != op2(h4(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f2016,f5247]) ).
fof(f9230,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ51_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e22 != op2(h4(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f7714,f9229]) ).
fof(f9231,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ51_spl
| ~ sQ125_spl
| ~ sQ118_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f7714,f9230]) ).
fof(f9232,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ51_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ98_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2201,f9231]) ).
fof(f9233,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ51_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ98_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9232]) ).
fof(f9234,plain,
( sQ213_spl
| ~ sQ272_spl
| ~ sQ51_spl
| ~ sQ125_spl
| ~ sQ118_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f9233]) ).
fof(f9239,plain,
( sQ203_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ11_spl
| h4(e13) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1886,f7826]) ).
fof(f9240,plain,
( sQ203_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ11_spl
| ~ sQ118_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f7714,f9239]) ).
fof(f9241,plain,
( sQ203_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ11_spl
| ~ sQ118_spl
| ~ sQ78_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2136,f9240]) ).
fof(f9242,plain,
( sQ203_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ11_spl
| ~ sQ118_spl
| ~ sQ78_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9241]) ).
fof(f9243,plain,
( sQ203_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ11_spl
| ~ sQ118_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f9242]) ).
fof(f9250,plain,
( sQ209_spl
| ~ sQ272_spl
| ~ sQ32_spl
| h4(e10) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f1955,f5258]) ).
fof(f9251,plain,
( sQ209_spl
| ~ sQ272_spl
| ~ sQ32_spl
| ~ sQ206_spl
| ~ sQ125_spl
| e20 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f7718,f9250]) ).
fof(f9252,plain,
( sQ209_spl
| ~ sQ272_spl
| ~ sQ32_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ112_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2247,f9251]) ).
fof(f9253,plain,
( sQ209_spl
| ~ sQ272_spl
| ~ sQ32_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ112_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9252]) ).
fof(f9254,plain,
( sQ209_spl
| ~ sQ272_spl
| ~ sQ32_spl
| ~ sQ206_spl
| ~ sQ125_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f9253]) ).
fof(f9345,plain,
( sQ144_spl
| ~ sQ49_spl
| ~ sQ142_spl
| ~ sQ67_spl
| e23 != op2(h1(e13),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f8878,f6028]) ).
fof(f9346,plain,
( sQ144_spl
| ~ sQ49_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ141_spl
| ~ sQ78_spl
| e23 != op2(e22,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f8920,f9345]) ).
fof(f9347,plain,
( sQ144_spl
| ~ sQ49_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ141_spl
| ~ sQ78_spl
| ~ sQ125_spl
| e23 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f8925,f9346]) ).
fof(f9348,plain,
( sQ144_spl
| ~ sQ49_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ141_spl
| ~ sQ78_spl
| ~ sQ125_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4399,f9347]) ).
fof(f9349,plain,
( sQ144_spl
| ~ sQ49_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ141_spl
| ~ sQ78_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9348]) ).
fof(f9350,plain,
( sQ144_spl
| ~ sQ49_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ141_spl
| ~ sQ78_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f9349]) ).
fof(f9358,plain,
( sQ181_spl
| ~ sQ78_spl
| h3(op1(e10,e13)) != e22 ),
inference(forward_demodulation,[status(thm)],[f2136,f4480]) ).
fof(f9428,plain,
( sQ215_spl
| ~ sQ59_spl
| h4(e13) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f2042,f4427]) ).
fof(f9466,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ2_spl
| h2(e12) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f1857,f7313]) ).
fof(f9467,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ2_spl
| e21 != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f278,f9466]) ).
fof(f9468,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ2_spl
| ~ sQ67_spl
| ~ sQ125_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f8925,f9467]) ).
fof(f9469,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ2_spl
| ~ sQ67_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9468]) ).
fof(f9470,plain,
( sQ155_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ2_spl
| ~ sQ67_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f9469]) ).
fof(f9471,plain,
( sQ163_spl
| ~ sQ32_spl
| ~ sQ174_spl
| e23 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2495,f6395]) ).
fof(f9472,plain,
( sQ163_spl
| ~ sQ32_spl
| ~ sQ174_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2495,f9471]) ).
fof(f9473,plain,
( sQ163_spl
| ~ sQ32_spl
| ~ sQ174_spl
| ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2191,f9472]) ).
fof(f9474,plain,
( sQ163_spl
| ~ sQ32_spl
| ~ sQ174_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9473]) ).
fof(f9475,plain,
( sQ163_spl
| ~ sQ32_spl
| ~ sQ174_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f9474]) ).
fof(f9540,plain,
( ~ sQ193_spl
| ~ sQ61_spl
| h3(e11) = op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f2049,f2556]) ).
fof(f9541,plain,
( ~ sQ193_spl
| ~ sQ61_spl
| e21 = op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f4416,f9540]) ).
fof(f9542,plain,
( ~ sQ193_spl
| ~ sQ61_spl
| e21 = op2(e23,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f4418,f9541]) ).
fof(f9543,plain,
( ~ sQ193_spl
| ~ sQ61_spl
| e21 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4418,f9542]) ).
fof(f9600,plain,
( sQ181_spl
| ~ sQ78_spl
| ~ sQ14_spl
| h3(e12) != e22 ),
inference(backward_demodulation,[status(thm)],[f1896,f9358]) ).
fof(f9607,plain,
( sQ204_spl
| ~ sQ14_spl
| e23 != op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f286,f7475]) ).
fof(f9624,plain,
( sQ181_spl
| ~ sQ78_spl
| ~ sQ14_spl
| ~ sQ270_spl ),
inference(split_clause,[status(thm)],[f9600,f2878,f1895,f2135,f2519]) ).
fof(f9638,plain,
( sQ186_spl
| ~ sQ34_spl
| h3(e12) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1961,f4469]) ).
fof(f9639,plain,
( sQ186_spl
| ~ sQ34_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f282,f9638]) ).
fof(f9640,plain,
( sQ186_spl
| ~ sQ34_spl
| ~ sQ98_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2201,f9639]) ).
fof(f9641,plain,
( sQ186_spl
| ~ sQ34_spl
| ~ sQ98_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9640]) ).
fof(f9642,plain,
( sQ186_spl
| ~ sQ34_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f9641]) ).
fof(f9647,plain,
( sQ190_spl
| ~ sQ48_spl
| h3(e10) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f2007,f4451]) ).
fof(f9648,plain,
( sQ190_spl
| ~ sQ48_spl
| e20 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f4415,f9647]) ).
fof(f9649,plain,
( sQ190_spl
| ~ sQ48_spl
| ~ sQ112_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2247,f9648]) ).
fof(f9650,plain,
( sQ190_spl
| ~ sQ48_spl
| ~ sQ112_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9649]) ).
fof(f9651,plain,
( sQ190_spl
| ~ sQ48_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f9650]) ).
fof(f9656,plain,
( sQ178_spl
| ~ sQ3_spl
| h3(e13) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f1860,f4487]) ).
fof(f9657,plain,
( sQ178_spl
| ~ sQ3_spl
| e23 != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f4418,f9656]) ).
fof(f9658,plain,
( sQ178_spl
| ~ sQ3_spl
| ~ sQ142_spl
| ~ sQ67_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f8878,f9657]) ).
fof(f9659,plain,
( sQ178_spl
| ~ sQ3_spl
| ~ sQ142_spl
| ~ sQ67_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9658]) ).
fof(f9660,plain,
( sQ178_spl
| ~ sQ3_spl
| ~ sQ142_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f9659]) ).
fof(f9713,plain,
( sQ193_spl
| ~ sQ60_spl
| h3(e10) != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f2046,f4445]) ).
fof(f9714,plain,
( sQ193_spl
| ~ sQ60_spl
| e20 != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f4415,f9713]) ).
fof(f9758,plain,
( ~ sQ136_spl
| ~ sQ19_spl
| h1(e13) = op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1912,f2377]) ).
fof(f9784,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| e20 != op2(e22,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f8920,f4994]) ).
fof(f9785,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f8878,f9784]) ).
fof(f9786,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ108_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2234,f9785]) ).
fof(f9787,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ108_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9786]) ).
fof(f9788,plain,
( sQ145_spl
| ~ sQ54_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f9787]) ).
fof(f9820,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| e21 != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f8925,f6213]) ).
fof(f9821,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| ~ sQ141_spl
| ~ sQ78_spl
| e21 != op2(e22,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f8920,f9820]) ).
fof(f9822,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| ~ sQ141_spl
| ~ sQ78_spl
| e21 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f8920,f9821]) ).
fof(f9823,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| ~ sQ141_spl
| ~ sQ78_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f272,f9822]) ).
fof(f9824,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| ~ sQ141_spl
| ~ sQ78_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9823]) ).
fof(f9825,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ125_spl
| ~ sQ141_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f9824]) ).
fof(f9831,plain,
( sQ146_spl
| ~ sQ59_spl
| h1(e13) != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f2042,f4504]) ).
fof(f9832,plain,
( sQ146_spl
| ~ sQ59_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| e22 != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f8920,f9831]) ).
fof(f9833,plain,
( sQ146_spl
| ~ sQ59_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f8920,f9832]) ).
fof(f9834,plain,
( sQ146_spl
| ~ sQ59_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ98_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2201,f9833]) ).
fof(f9835,plain,
( sQ146_spl
| ~ sQ59_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ98_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9834]) ).
fof(f9836,plain,
( sQ146_spl
| ~ sQ59_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f9835]) ).
fof(f9846,plain,
( sQ139_spl
| ~ sQ29_spl
| h1(e11) != op2(h1(e11),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f1945,f2387]) ).
fof(f9847,plain,
( sQ139_spl
| ~ sQ29_spl
| ~ sQ142_spl
| ~ sQ67_spl
| e23 != op2(h1(e11),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f8878,f9846]) ).
fof(f9848,plain,
( sQ139_spl
| ~ sQ29_spl
| ~ sQ142_spl
| ~ sQ67_spl
| e23 != op2(e23,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f8878,f9847]) ).
fof(f9849,plain,
( sQ139_spl
| ~ sQ29_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ141_spl
| ~ sQ78_spl
| e23 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f8920,f9848]) ).
fof(f9850,plain,
( sQ139_spl
| ~ sQ29_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ141_spl
| ~ sQ78_spl
| ~ sQ123_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2282,f9849]) ).
fof(f9851,plain,
( sQ139_spl
| ~ sQ29_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ141_spl
| ~ sQ78_spl
| ~ sQ123_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9850]) ).
fof(f9852,plain,
( sQ139_spl
| ~ sQ29_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ141_spl
| ~ sQ78_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f9851]) ).
fof(f9867,plain,
( sQ143_spl
| ~ sQ46_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| e20 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f8920,f7123]) ).
fof(f9868,plain,
( sQ143_spl
| ~ sQ46_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ72_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2117,f9867]) ).
fof(f9869,plain,
( sQ143_spl
| ~ sQ46_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ72_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9868]) ).
fof(f9870,plain,
( sQ143_spl
| ~ sQ46_spl
| ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ67_spl
| ~ sQ78_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f9869]) ).
fof(f9872,plain,
( ~ sQ193_spl
| ~ sQ61_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f9543,f2288,f2048,f2555]) ).
fof(f9908,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ72_spl
| h1(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f2117,f7632]) ).
fof(f9909,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ72_spl
| sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9908,f2748]) ).
fof(f9910,plain,
( ~ sQ141_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ72_spl
| sQ239_spl ),
inference(contradiction_clause,[status(thm)],[f9909]) ).
fof(f9922,plain,
( ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| h1(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f2117,f6117]) ).
fof(f9967,plain,
( sQ168_spl
| ~ sQ54_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f7025,f2249,f2151,f2467,f2025,f2476]) ).
fof(f10002,plain,
( ~ sQ206_spl
| ~ sQ273_spl
| h4(e10) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f2892,f7005]) ).
fof(f10005,plain,
( ~ sQ206_spl
| ~ sQ273_spl
| h4(e10) = op2(h4(e11),e20) ),
inference(backward_demodulation,[status(thm)],[f2892,f5825]) ).
fof(f10008,plain,
( sQ202_spl
| ~ sQ5_spl
| ~ sQ273_spl
| h4(e11) != op2(h4(e10),e20) ),
inference(backward_demodulation,[status(thm)],[f2892,f7406]) ).
fof(f10034,plain,
( sQ254_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f278,f2812]) ).
fof(f10035,plain,
( sQ254_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10034]) ).
fof(f10036,plain,
sQ254_spl,
inference(contradiction_clause,[status(thm)],[f10035]) ).
fof(f10064,plain,
( sQ193_spl
| ~ sQ60_spl
| ~ sQ273_spl ),
inference(split_clause,[status(thm)],[f9714,f2891,f2045,f2555]) ).
fof(f10128,plain,
( ~ sQ136_spl
| ~ sQ19_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| e20 = op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f9922,f9758]) ).
fof(f10129,plain,
( ~ sQ136_spl
| ~ sQ19_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e20 = op2(e22,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f7090,f10128]) ).
fof(f10130,plain,
( ~ sQ136_spl
| ~ sQ19_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ240_spl
| e23 = e20 ),
inference(backward_demodulation,[status(thm)],[f10131,f4399]) ).
fof(f10131,plain,
( ~ sQ136_spl
| ~ sQ19_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ240_spl
| e20 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2752,f10129]) ).
fof(f10177,plain,
( ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| h4(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f2097,f10002]) ).
fof(f10178,plain,
( ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| sQ280_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10177,f2923]) ).
fof(f10179,plain,
( ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| sQ280_spl ),
inference(contradiction_clause,[status(thm)],[f10178]) ).
fof(f10180,plain,
( ~ sQ206_spl
| ~ sQ273_spl
| h4(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2892,f10005]) ).
fof(f10185,plain,
( ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| h4(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f2097,f10180]) ).
fof(f10186,plain,
( sQ202_spl
| ~ sQ5_spl
| ~ sQ273_spl
| e20 != op2(h4(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f2892,f10008]) ).
fof(f10187,plain,
( sQ202_spl
| ~ sQ5_spl
| ~ sQ273_spl
| ~ sQ206_spl
| ~ sQ66_spl
| e20 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f10185,f10186]) ).
fof(f10188,plain,
( sQ202_spl
| ~ sQ5_spl
| ~ sQ273_spl
| ~ sQ206_spl
| ~ sQ66_spl
| ~ sQ138_spl
| ~ sQ26_spl
| ~ sQ142_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f8459,f10187]) ).
fof(f10189,plain,
( sQ202_spl
| ~ sQ5_spl
| ~ sQ273_spl
| ~ sQ206_spl
| ~ sQ66_spl
| ~ sQ138_spl
| ~ sQ26_spl
| ~ sQ142_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10188]) ).
fof(f10190,plain,
( sQ202_spl
| ~ sQ5_spl
| ~ sQ273_spl
| ~ sQ206_spl
| ~ sQ66_spl
| ~ sQ138_spl
| ~ sQ26_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f10189]) ).
fof(f10191,plain,
( ~ sQ273_spl
| ~ sQ113_spl
| h4(e13) = e21 ),
inference(backward_demodulation,[status(thm)],[f2250,f7009]) ).
fof(f10208,plain,
( sQ181_spl
| ~ sQ15_spl
| h3(e13) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1899,f4480]) ).
fof(f10209,plain,
( sQ181_spl
| ~ sQ15_spl
| e23 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f4418,f10208]) ).
fof(f10210,plain,
( sQ181_spl
| ~ sQ15_spl
| ~ sQ79_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2139,f10209]) ).
fof(f10211,plain,
( sQ181_spl
| ~ sQ15_spl
| ~ sQ79_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10210]) ).
fof(f10212,plain,
( sQ181_spl
| ~ sQ15_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f10211]) ).
fof(f10217,plain,
( ~ sQ136_spl
| ~ sQ19_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10130,f220]) ).
fof(f10218,plain,
( ~ sQ136_spl
| ~ sQ19_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f10217]) ).
fof(f10222,plain,
( ~ sQ273_spl
| ~ sQ113_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f10191,f2916,f2249,f2891]) ).
fof(f10223,plain,
( sQ182_spl
| ~ sQ165_spl
| ~ sQ19_spl
| h3(e13) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f1912,f6679]) ).
fof(f10224,plain,
( sQ182_spl
| ~ sQ165_spl
| ~ sQ19_spl
| e23 != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f4418,f10223]) ).
fof(f10225,plain,
( sQ182_spl
| ~ sQ165_spl
| ~ sQ19_spl
| ~ sQ83_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f6767,f10224]) ).
fof(f10226,plain,
( sQ182_spl
| ~ sQ165_spl
| ~ sQ19_spl
| ~ sQ83_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10225]) ).
fof(f10227,plain,
( sQ182_spl
| ~ sQ165_spl
| ~ sQ19_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f10226]) ).
fof(f10252,plain,
( sQ190_spl
| ~ sQ49_spl
| h3(e11) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f2010,f4451]) ).
fof(f10253,plain,
( sQ190_spl
| ~ sQ49_spl
| e21 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f4416,f10252]) ).
fof(f10254,plain,
( sQ190_spl
| ~ sQ49_spl
| ~ sQ113_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2250,f10253]) ).
fof(f10255,plain,
( sQ190_spl
| ~ sQ49_spl
| ~ sQ113_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10254]) ).
fof(f10256,plain,
( sQ190_spl
| ~ sQ49_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f10255]) ).
fof(f10365,plain,
( sQ204_spl
| ~ sQ14_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| e23 != op2(e22,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f10185,f9607]) ).
fof(f10366,plain,
( sQ204_spl
| ~ sQ14_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl
| e23 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2917,f10365]) ).
fof(f10367,plain,
( sQ204_spl
| ~ sQ14_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4399,f10366]) ).
fof(f10368,plain,
( sQ204_spl
| ~ sQ14_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10367]) ).
fof(f10369,plain,
( sQ204_spl
| ~ sQ14_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl ),
inference(contradiction_clause,[status(thm)],[f10368]) ).
fof(f10420,plain,
( sQ132_spl
| ~ sQ3_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| e20 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f9922,f7442]) ).
fof(f10421,plain,
( sQ132_spl
| ~ sQ3_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ240_spl
| e20 != op2(e21,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f2752,f10420]) ).
fof(f10422,plain,
( sQ132_spl
| ~ sQ3_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ240_spl
| e20 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2752,f10421]) ).
fof(f10423,plain,
( sQ132_spl
| ~ sQ3_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ240_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4817,f10422]) ).
fof(f10424,plain,
( sQ132_spl
| ~ sQ3_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ240_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10423]) ).
fof(f10425,plain,
( sQ132_spl
| ~ sQ3_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f10424]) ).
fof(f10426,plain,
( sQ214_spl
| ~ sQ54_spl
| ~ sQ279_spl
| e23 != op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2917,f7296]) ).
fof(f10427,plain,
( sQ214_spl
| ~ sQ54_spl
| ~ sQ279_spl
| ~ sQ273_spl
| e23 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2892,f10426]) ).
fof(f10428,plain,
( sQ214_spl
| ~ sQ54_spl
| ~ sQ279_spl
| ~ sQ273_spl
| ~ sQ83_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2152,f10427]) ).
fof(f10429,plain,
( sQ214_spl
| ~ sQ54_spl
| ~ sQ279_spl
| ~ sQ273_spl
| ~ sQ83_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10428]) ).
fof(f10430,plain,
( sQ214_spl
| ~ sQ54_spl
| ~ sQ279_spl
| ~ sQ273_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f10429]) ).
fof(f10435,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ165_spl
| e20 != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f5474,f7187]) ).
fof(f10436,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ83_spl
| e20 != op2(e23,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f6767,f10435]) ).
fof(f10437,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ83_spl
| e20 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f6767,f10436]) ).
fof(f10438,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ124_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2286,f10437]) ).
fof(f10439,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ124_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10438]) ).
fof(f10440,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f10439]) ).
fof(f10441,plain,
( sQ205_spl
| ~ sQ17_spl
| h4(e11) != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1906,f2597]) ).
fof(f10442,plain,
( sQ205_spl
| ~ sQ17_spl
| ~ sQ273_spl
| e20 != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2892,f10441]) ).
fof(f10443,plain,
( sQ205_spl
| ~ sQ17_spl
| ~ sQ273_spl
| e20 != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2892,f10442]) ).
fof(f10444,plain,
( sQ205_spl
| ~ sQ17_spl
| ~ sQ273_spl
| ~ sQ206_spl
| ~ sQ66_spl
| e20 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f10185,f10443]) ).
fof(f10445,plain,
( sQ205_spl
| ~ sQ17_spl
| ~ sQ273_spl
| ~ sQ206_spl
| ~ sQ66_spl
| ~ sQ72_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2117,f10444]) ).
fof(f10446,plain,
( sQ205_spl
| ~ sQ17_spl
| ~ sQ273_spl
| ~ sQ206_spl
| ~ sQ66_spl
| ~ sQ72_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10445]) ).
fof(f10447,plain,
( sQ205_spl
| ~ sQ17_spl
| ~ sQ273_spl
| ~ sQ206_spl
| ~ sQ66_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f10446]) ).
fof(f10462,plain,
( sQ216_spl
| ~ sQ61_spl
| h4(e11) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2049,f2630]) ).
fof(f10463,plain,
( sQ216_spl
| ~ sQ61_spl
| ~ sQ273_spl
| e20 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2892,f10462]) ).
fof(f10464,plain,
( sQ216_spl
| ~ sQ61_spl
| ~ sQ273_spl
| ~ sQ279_spl
| e20 != op2(e21,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2917,f10463]) ).
fof(f10465,plain,
( sQ216_spl
| ~ sQ61_spl
| ~ sQ273_spl
| ~ sQ279_spl
| e20 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2917,f10464]) ).
fof(f10466,plain,
( sQ216_spl
| ~ sQ61_spl
| ~ sQ273_spl
| ~ sQ279_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4817,f10465]) ).
fof(f10467,plain,
( sQ216_spl
| ~ sQ61_spl
| ~ sQ273_spl
| ~ sQ279_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10466]) ).
fof(f10468,plain,
( sQ216_spl
| ~ sQ61_spl
| ~ sQ273_spl
| ~ sQ279_spl ),
inference(contradiction_clause,[status(thm)],[f10467]) ).
fof(f10485,plain,
( sQ208_spl
| ~ sQ31_spl
| h4(e13) != op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1951,f2606]) ).
fof(f10486,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ279_spl
| e21 != op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2917,f10485]) ).
fof(f10487,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ279_spl
| ~ sQ273_spl
| e21 != op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2892,f10486]) ).
fof(f10488,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ279_spl
| ~ sQ273_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2917,f10487]) ).
fof(f10489,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ279_spl
| ~ sQ273_spl
| ~ sQ69_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2107,f10488]) ).
fof(f10490,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ279_spl
| ~ sQ273_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10489]) ).
fof(f10491,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ279_spl
| ~ sQ273_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f10490]) ).
fof(f10577,plain,
( sQ207_spl
| ~ sQ26_spl
| ~ sQ273_spl
| e23 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2892,f6026]) ).
fof(f10578,plain,
( sQ207_spl
| ~ sQ26_spl
| ~ sQ273_spl
| ~ sQ79_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2139,f10577]) ).
fof(f10579,plain,
( sQ207_spl
| ~ sQ26_spl
| ~ sQ273_spl
| ~ sQ79_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10578]) ).
fof(f10580,plain,
( sQ207_spl
| ~ sQ26_spl
| ~ sQ273_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f10579]) ).
fof(f10581,plain,
( sQ201_spl
| ~ sQ3_spl
| ~ sQ279_spl
| e21 != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2917,f7441]) ).
fof(f10582,plain,
( sQ201_spl
| ~ sQ3_spl
| ~ sQ279_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| e21 != op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f10185,f10581]) ).
fof(f10583,plain,
( sQ201_spl
| ~ sQ3_spl
| ~ sQ279_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| e21 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f10185,f10582]) ).
fof(f10584,plain,
( sQ201_spl
| ~ sQ3_spl
| ~ sQ279_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f272,f10583]) ).
fof(f10585,plain,
( sQ201_spl
| ~ sQ3_spl
| ~ sQ279_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10584]) ).
fof(f10586,plain,
( sQ201_spl
| ~ sQ3_spl
| ~ sQ279_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f10585]) ).
fof(f10618,plain,
( sQ144_spl
| ~ sQ48_spl
| h1(e10) != op2(h1(e13),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f2007,f2402]) ).
fof(f10619,plain,
( sQ144_spl
| ~ sQ48_spl
| ~ sQ240_spl
| e21 != op2(h1(e13),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f2752,f10618]) ).
fof(f10620,plain,
( sQ144_spl
| ~ sQ48_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| e21 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f9922,f10619]) ).
fof(f10621,plain,
( sQ144_spl
| ~ sQ48_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2752,f10620]) ).
fof(f10622,plain,
( sQ144_spl
| ~ sQ48_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ69_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2107,f10621]) ).
fof(f10623,plain,
( sQ144_spl
| ~ sQ48_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10622]) ).
fof(f10624,plain,
( sQ144_spl
| ~ sQ48_spl
| ~ sQ240_spl
| ~ sQ141_spl
| ~ sQ245_spl
| ~ sQ72_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f10623]) ).
fof(f10625,plain,
( sQ212_spl
| ~ sQ44_spl
| h4(e10) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1994,f4428]) ).
fof(f10626,plain,
( sQ212_spl
| ~ sQ44_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| e22 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f10185,f10625]) ).
fof(f10627,plain,
( sQ212_spl
| ~ sQ44_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2917,f10626]) ).
fof(f10628,plain,
( sQ212_spl
| ~ sQ44_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl
| ~ sQ118_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2266,f10627]) ).
fof(f10629,plain,
( sQ212_spl
| ~ sQ44_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl
| ~ sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10628]) ).
fof(f10630,plain,
( sQ212_spl
| ~ sQ44_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f10629]) ).
fof(f10642,plain,
( sQ215_spl
| ~ sQ59_spl
| ~ sQ279_spl
| e21 != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f2917,f9428]) ).
fof(f10643,plain,
( sQ215_spl
| ~ sQ59_spl
| ~ sQ279_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2917,f10642]) ).
fof(f10644,plain,
( sQ215_spl
| ~ sQ59_spl
| ~ sQ279_spl
| ~ sQ93_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2185,f10643]) ).
fof(f10645,plain,
( sQ215_spl
| ~ sQ59_spl
| ~ sQ279_spl
| ~ sQ93_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10644]) ).
fof(f10646,plain,
( sQ215_spl
| ~ sQ59_spl
| ~ sQ279_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f10645]) ).
fof(f10654,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| e22 != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f10185,f5315]) ).
fof(f10655,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| e22 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f10185,f10654]) ).
fof(f10656,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ110_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2240,f10655]) ).
fof(f10657,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ110_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10656]) ).
fof(f10658,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f10657]) ).
fof(f10672,plain,
( sQ213_spl
| ~ sQ48_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| e22 != op2(h4(e13),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f10185,f6604]) ).
fof(f10673,plain,
( sQ213_spl
| ~ sQ48_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl
| e22 != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2917,f10672]) ).
fof(f10674,plain,
( sQ213_spl
| ~ sQ48_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f10185,f10673]) ).
fof(f10675,plain,
( sQ213_spl
| ~ sQ48_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl
| ~ sQ90_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2175,f10674]) ).
fof(f10676,plain,
( sQ213_spl
| ~ sQ48_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl
| ~ sQ90_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10675]) ).
fof(f10677,plain,
( sQ213_spl
| ~ sQ48_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ279_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f10676]) ).
fof(f10692,plain,
( sQ209_spl
| ~ sQ34_spl
| h4(e12) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1961,f4440]) ).
fof(f10693,plain,
( sQ209_spl
| ~ sQ34_spl
| e23 != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f286,f10692]) ).
fof(f10694,plain,
( sQ209_spl
| ~ sQ34_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| e23 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f10185,f10693]) ).
fof(f10695,plain,
( sQ209_spl
| ~ sQ34_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ123_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2282,f10694]) ).
fof(f10696,plain,
( sQ209_spl
| ~ sQ34_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ123_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10695]) ).
fof(f10697,plain,
( sQ209_spl
| ~ sQ34_spl
| ~ sQ206_spl
| ~ sQ273_spl
| ~ sQ66_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f10696]) ).
fof(f10741,plain,
( sQ169_spl
| ~ sQ56_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ83_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f6767,f8138]) ).
fof(f10742,plain,
( sQ169_spl
| ~ sQ56_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ83_spl
| ~ sQ118_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2266,f10741]) ).
fof(f10743,plain,
( sQ169_spl
| ~ sQ56_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ83_spl
| ~ sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10742]) ).
fof(f10744,plain,
( sQ169_spl
| ~ sQ56_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ83_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f10743]) ).
fof(f10786,plain,
( sQ158_spl
| ~ sQ12_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ83_spl
| e22 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f6767,f8150]) ).
fof(f10787,plain,
( sQ158_spl
| ~ sQ12_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ83_spl
| ~ sQ110_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2240,f10786]) ).
fof(f10788,plain,
( sQ158_spl
| ~ sQ12_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ83_spl
| ~ sQ110_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10787]) ).
fof(f10789,plain,
( sQ158_spl
| ~ sQ12_spl
| ~ sQ165_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ83_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f10788]) ).
fof(f10828,plain,
( sQ167_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ51_spl
| h2(e13) != op2(e23,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2016,f7032]) ).
fof(f10829,plain,
( sQ167_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ51_spl
| e23 != op2(e23,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f6767,f10828]) ).
fof(f10830,plain,
( sQ167_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ51_spl
| ~ sQ142_spl
| ~ sQ66_spl
| e23 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f7628,f10829]) ).
fof(f10831,plain,
( sQ167_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ51_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ123_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2282,f10830]) ).
fof(f10832,plain,
( sQ167_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ51_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ123_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10831]) ).
fof(f10833,plain,
( sQ167_spl
| ~ sQ165_spl
| ~ sQ83_spl
| ~ sQ51_spl
| ~ sQ142_spl
| ~ sQ66_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f10832]) ).
fof(f10839,plain,
( sQ162_spl
| ~ sQ165_spl
| ~ sQ31_spl
| h2(e13) != op2(e20,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1951,f5469]) ).
fof(f10840,plain,
( sQ162_spl
| ~ sQ165_spl
| ~ sQ31_spl
| ~ sQ83_spl
| e23 != op2(e20,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f6767,f10839]) ).
fof(f10841,plain,
( sQ162_spl
| ~ sQ165_spl
| ~ sQ31_spl
| ~ sQ83_spl
| e23 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f6767,f10840]) ).
fof(f10842,plain,
( sQ162_spl
| ~ sQ165_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ79_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2139,f10841]) ).
fof(f10843,plain,
( sQ162_spl
| ~ sQ165_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ79_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10842]) ).
fof(f10844,plain,
( sQ162_spl
| ~ sQ165_spl
| ~ sQ31_spl
| ~ sQ83_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f10843]) ).
fof(f10845,plain,
$false,
inference(sat_refutation,[status(thm)],[f1862,f1888,f1901,f1914,f1927,f1940,f1953,f1966,f1992,f2005,f2018,f2044,f2057,f2059,f2060,f2061,f2062,f2063,f2064,f2065,f2068,f2069,f2070,f2071,f2074,f2075,f2078,f2079,f2080,f2081,f2082,f2083,f2084,f2085,f2087,f2088,f2089,f2102,f2115,f2141,f2154,f2180,f2193,f2206,f2219,f2232,f2245,f2258,f2271,f2284,f2297,f2298,f2299,f2301,f2303,f2304,f2307,f2308,f2309,f2310,f2311,f2312,f2314,f2315,f2318,f2319,f2321,f2322,f2323,f2324,f2325,f2327,f2328,f2333,f2334,f2341,f2345,f2346,f2350,f2351,f2358,f2362,f2363,f2428,f2436,f2509,f2582,f2651,f2659,f2669,f2670,f2678,f2679,f2690,f2698,f2708,f2709,f2718,f2729,f2745,f2754,f2758,f2775,f2783,f2792,f2813,f2822,f2834,f2835,f2839,f2860,f2881,f2890,f2894,f2907,f2911,f2919,f2920,f2924,f2928,f2936,f2937,f2941,f2950,f2952,f2957,f2958,f2959,f2961,f2966,f2978,f2985,f2987,f2992,f3001,f3003,f3008,f3009,f3010,f3012,f3017,f3018,f3022,f3029,f3036,f3038,f3043,f3051,f3053,f3054,f3060,f3063,f3068,f3069,f3073,f3080,f3085,f3086,f3089,f3094,f3102,f3104,f3105,f3110,f3111,f3114,f3119,f3120,f3124,f3129,f3130,f3136,f3137,f3140,f3145,f3156,f3162,f3163,f3164,f3166,f3170,f3171,f3180,f3181,f3182,f3187,f3188,f3191,f3192,f3196,f3207,f3213,f3215,f3217,f3221,f3222,f3231,f3232,f3238,f3239,f3242,f3247,f3258,f3263,f3264,f3265,f3267,f3272,f3284,f3290,f3291,f3293,f3298,f3309,f3314,f3315,f3318,f3323,f3341,f3342,f3344,f3345,f3358,f3360,f3365,f3366,f3367,f3369,f3374,f3386,f3393,f3395,f3404,f3409,f3411,f3416,f3417,f3418,f3420,f3425,f3444,f3446,f3451,f3462,f3468,f3471,f3476,f3477,f3481,f3487,f3488,f3493,f3494,f3497,f3502,f3513,f3518,f3519,f3522,f3527,f3528,f3532,f3537,f3538,f3544,f3545,f3548,f3553,f3564,f3570,f3571,f3572,f3574,f3578,f3579,f3588,f3589,f3590,f3595,f3596,f3599,f3600,f3604,f3615,f3621,f3623,f3625,f3629,f3630,f3639,f3640,f3646,f3647,f3650,f3655,f3666,f3671,f3672,f3673,f3675,f3680,f3692,f3698,f3699,f3701,f3706,f3717,f3722,f3723,f3726,f3731,f3749,f3750,f3752,f3753,f3757,f3768,f3773,f3774,f3775,f3777,f3782,f3794,f3801,f3803,f3808,f3819,f3824,f3825,f3826,f3828,f3833,f3852,f3854,f3863,f3867,f3869,f3870,f3871,f3872,f3873,f3876,f3879,f3884,f3885,f3889,f3894,f3895,f3896,f3898,f3899,f3901,f3902,f3905,f3914,f3918,f3920,f3921,f3922,f3923,f3926,f3927,f3930,f3935,f3936,f3940,f3945,f3946,f3952,f3953,f3956,f3961,f3965,f3972,f3974,f3976,f3978,f3979,f3980,f3982,f3986,f3987,f3996,f3997,f3998,f4003,f4004,f4007,f4008,f4012,f4016,f4023,f4024,f4025,f4029,f4030,f4031,f4033,f4037,f4038,f4048,f4054,f4055,f4058,f4063,f4067,f4074,f4075,f4076,f4079,f4080,f4081,f4083,f4088,f4089,f4100,f4102,f4106,f4107,f4109,f4114,f4118,f4126,f4130,f4131,f4132,f4134,f4139,f4140,f4157,f4158,f4160,f4161,f4165,f4174,f4176,f4181,f4182,f4183,f4185,f4191,f4202,f4209,f4211,f4216,f4220,f4225,f4227,f4232,f4233,f4234,f4236,f4241,f4260,f4262,f4264,f4272,f4274,f4275,f4280,f4283,f4285,f4290,f4296,f4301,f4302,f4305,f4307,f4315,f4317,f4318,f4319,f4322,f4323,f4326,f4328,f4333,f4338,f4339,f4344,f4345,f4348,f4351,f4352,f4353,f4355,f4356,f4357,f4360,f4361,f4363,f4364,f4365,f4367,f4368,f4369,f4372,f4434,f4439,f4460,f4467,f4495,f4500,f4511,f4516,f4563,f4596,f4656,f4659,f4662,f4677,f4680,f4683,f4686,f4709,f4712,f4715,f4725,f4733,f4736,f4739,f4763,f4766,f4771,f4779,f4788,f4798,f4805,f4828,f4844,f4854,f4867,f4869,f4898,f4912,f4924,f4934,f4962,f5011,f5055,f5075,f5079,f5082,f5084,f5097,f5101,f5103,f5113,f5115,f5117,f5119,f5121,f5124,f5129,f5133,f5137,f5139,f5141,f5143,f5147,f5150,f5155,f5157,f5159,f5164,f5175,f5201,f5207,f5222,f5226,f5260,f5265,f5301,f5309,f5322,f5325,f5343,f5367,f5377,f5381,f5386,f5389,f5393,f5397,f5402,f5406,f5426,f5428,f5506,f5518,f5530,f5536,f5544,f5571,f5584,f5604,f5608,f5615,f5619,f5626,f5627,f5649,f5653,f5689,f5713,f5714,f5715,f5746,f5771,f5777,f5780,f5781,f5782,f5795,f5822,f5829,f5843,f5860,f5864,f5888,f5895,f5908,f5933,f5942,f5944,f5947,f5954,f5965,f5968,f5981,f5985,f5993,f5995,f6014,f6025,f6035,f6038,f6067,f6068,f6091,f6094,f6100,f6122,f6131,f6142,f6144,f6147,f6150,f6164,f6175,f6190,f6195,f6208,f6225,f6226,f6227,f6241,f6254,f6276,f6277,f6278,f6309,f6332,f6348,f6377,f6383,f6419,f6425,f6427,f6436,f6460,f6470,f6484,f6485,f6496,f6549,f6556,f6559,f6566,f6586,f6625,f6630,f6631,f6652,f6678,f6692,f6710,f6732,f6803,f6817,f6839,f6862,f6886,f6889,f6897,f6902,f6903,f6905,f6907,f6913,f6936,f6956,f6969,f6982,f6984,f7000,f7078,f7099,f7104,f7112,f7115,f7131,f7138,f7162,f7208,f7213,f7222,f7238,f7239,f7245,f7246,f7274,f7299,f7308,f7354,f7414,f7424,f7451,f7489,f7509,f7534,f7562,f7627,f7630,f7635,f7641,f7657,f7665,f7687,f7699,f7716,f7720,f7753,f7755,f7777,f7783,f7803,f7809,f7899,f7915,f7921,f7933,f7957,f7965,f7972,f7976,f7979,f7983,f8038,f8048,f8055,f8073,f8077,f8117,f8155,f8214,f8263,f8282,f8300,f8332,f8468,f8501,f8569,f8659,f8677,f8683,f8699,f8710,f8716,f8728,f8729,f8731,f8747,f8777,f8788,f8880,f8918,f8922,f8923,f8927,f8937,f8967,f8973,f8984,f9038,f9049,f9070,f9082,f9084,f9150,f9197,f9206,f9234,f9243,f9254,f9350,f9470,f9475,f9624,f9642,f9651,f9660,f9788,f9825,f9836,f9852,f9870,f9872,f9910,f9967,f10036,f10064,f10179,f10190,f10212,f10218,f10222,f10227,f10256,f10369,f10425,f10430,f10440,f10447,f10468,f10491,f10580,f10586,f10624,f10630,f10646,f10658,f10677,f10697,f10744,f10789,f10833,f10844]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.23 % Problem : ALG128+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.25 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.58 % Computer : n010.cluster.edu
% 0.09/0.58 % Model : x86_64 x86_64
% 0.09/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58 % Memory : 8046.5625MB
% 0.09/0.58 % OS : Linux 6.8.0-71-generic
% 0.09/0.58 % CPULimit : 300
% 0.09/0.58 % WCLimit : 300
% 0.09/0.58 % DateTime : Mon Sep 21 12:57:41 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.15/0.63 % Drodi V4.1.1
% 13.86/2.45 % Refutation found
% 13.86/2.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 13.86/2.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.36/2.51 % Elapsed time: 1.923517 seconds
% 12.36/2.51 % CPU time: 14.298666 seconds
% 12.36/2.51 % Total memory used: 242.469 MB
% 12.36/2.51 % Net memory used: 240.412 MB
%------------------------------------------------------------------------------