%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG127+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:20 AM UTC 2026
% Result : Theorem 2.65s 0.84s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 499
% Syntax : Number of formulae : 2944 ( 190 unt; 482 def)
% Number of atoms : 13030 (6984 equ)
% Maximal formula atoms : 180 ( 4 avg)
% Number of connectives : 17704 (7618 ~;7134 |;2402 &)
% ( 550 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 484 ( 482 usr; 483 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( ( ( op1(e13,e13) = e13
| op1(e13,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(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(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(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,e12) = e13 )
| ( ( 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,e11) = e13 )
| ( ( 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,e10) = e13 )
| ( ( 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,e13) = e12 )
| ( ( 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,e11) = e12 )
| ( ( 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,e10) = e12 )
| ( ( 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,e13) = e11 )
| ( ( 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,e12) = e11 )
| ( ( 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,e10) = e11 )
| ( ( 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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( ( 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(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(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(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,e22) = e23 )
| ( ( 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,e21) = e23 )
| ( ( 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,e20) = e23 )
| ( ( 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,e23) = e22 )
| ( ( 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,e21) = e22 )
| ( ( 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,e20) = e22 )
| ( ( 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,e23) = e21 )
| ( ( 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,e22) = e21 )
| ( ( 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,e20) = e21 )
| ( ( 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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e13 = op1(e12,e12)
& e11 = op1(e12,op1(e12,op1(e12,e12)))
& e10 = op1(e12,op1(e12,e12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e23 = op2(e22,e22)
& e21 = op2(e22,op2(e22,op2(e22,e22)))
& e20 = op2(e22,op2(e22,e22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = op2(e20,e20)
& h1(e11) = op2(e20,op2(e20,op2(e20,e20)))
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e12) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = op2(e21,e21)
& h2(e11) = op2(e21,op2(e21,op2(e21,e21)))
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e12) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = op2(e22,e22)
& h3(e11) = op2(e22,op2(e22,op2(e22,e22)))
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e12) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = op2(e23,e23)
& h4(e11) = op2(e23,op2(e23,op2(e23,e23)))
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e12) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f22,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f26,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f28,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(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(f32,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f44,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f45,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f46,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f60,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f69,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f71,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f72,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f76,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f78,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f88,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f89,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f91,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f92,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f93,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f94,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f99,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f103,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f104,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f112,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f113,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f123,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f124,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f125,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f126,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f128,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f130,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f137,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f138,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f139,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(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(f143,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(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(f158,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f167,plain,
op2(e21,e20) != op2(e22,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(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f174,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f175,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f178,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f185,plain,
op2(e21,e23) != op2(e22,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(f195,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f197,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f199,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(f211,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f220,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f240,definition,
( sP0_prd
<=> ( ( ( op1(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,e12) = e13 )
| ( ( 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,e11) = e13 )
| ( ( 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,e10) = e13 )
| ( ( 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,e13) = e12 )
| ( ( 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,e11) = e12 )
| ( ( 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,e10) = e12 )
| ( ( 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,e13) = e11 )
| ( ( 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,e12) = e11 )
| ( ( 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,e10) = e11 )
| ( ( 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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,definition,
( sP1_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(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(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f242,plain,
( ( ( ( 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 )
| 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(f247,plain,
( op1(e13,e13) != e13
| op1(e13,e13) != e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f251,plain,
( op1(e12,e13) = e12
| op1(e12,e12) != e13
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f253,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,e22) = e23 )
| ( ( 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,e21) = e23 )
| ( ( 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,e20) = e23 )
| ( ( 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,e23) = e22 )
| ( ( 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,e21) = e22 )
| ( ( 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,e20) = e22 )
| ( ( 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,e23) = e21 )
| ( ( 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,e22) = e21 )
| ( ( 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,e20) = e21 )
| ( ( 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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f254,definition,
( sP3_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(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(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f255,plain,
( ( ( ( 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 )
| 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,f254,f253]) ).
fof(f256,plain,
( op2(e23,e23) = e23
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f260,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != e23
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f264,plain,
( op2(e22,e23) = e22
| op2(e22,e22) != e23
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f266,plain,
e10 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f267,plain,
e11 = op1(e12,op1(e12,op1(e12,e12))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f268,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f269,plain,
e20 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f270,plain,
e21 = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f271,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f272,plain,
h1(e12) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f273,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f274,plain,
h1(e11) = op2(e20,op2(e20,op2(e20,e20))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f275,plain,
h1(e13) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f276,plain,
h2(e12) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f277,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f278,plain,
h2(e11) = op2(e21,op2(e21,op2(e21,e21))),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f279,plain,
h2(e13) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f280,plain,
h3(e12) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f281,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f282,plain,
h3(e11) = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f283,plain,
h3(e13) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f284,plain,
h4(e12) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f285,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f286,plain,
h4(e11) = op2(e23,op2(e23,op2(e23,e23))),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f287,plain,
h4(e13) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f288,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(f289,definition,
( sP4_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f290,definition,
( sP5_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f291,definition,
( sP6_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f292,definition,
( sP7_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f293,definition,
( sP8_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f294,definition,
( sP9_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f295,definition,
( sP10_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f296,definition,
( sP11_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f297,definition,
( sP12_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f298,definition,
( sP13_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f299,definition,
( sP14_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f300,definition,
( sP15_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f301,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)],[f288,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289]) ).
fof(f313,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)],[f301]) ).
fof(f316,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)],[f301]) ).
fof(f318,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,e11) = e13 )
| ( ( 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,e10) = e13 )
| ( ( 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,e13) = e12 )
| ( ( 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,e11) = e12 )
| ( ( 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,e10) = e12 )
| ( ( 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,e13) = e11 )
| ( ( 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,e12) = e11 )
| ( ( 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,e10) = e11 )
| ( ( 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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f319,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,e12) = e13 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f318]) ).
fof(f320,definition,
( sP17_prd
<=> ( op1(e10,e12) != e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f321,definition,
( sP18_prd
<=> ( op1(e11,e12) != e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f322,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,e12) = e13 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f319,f321,f320]) ).
fof(f323,plain,
( ( ( ( ( op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP18_prd
| ~ sP17_prd
| op1(e13,e12) != e13 )
& ~ 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,e12) = e13 )
| sP16_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f322]) ).
fof(f324,plain,
( op1(e13,e12) = e13
| sP16_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f328,plain,
( op1(e13,e12) != e13
| op1(e13,e13) != e12
| sP16_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f329,plain,
( ~ sP16_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f334,definition,
( sP19_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(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f335,plain,
( sP1_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 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f241,f334]) ).
fof(f336,definition,
( sP20_prd
<=> ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f337,definition,
( sP21_prd
<=> ( op1(e11,e12) = e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f338,plain,
( sP1_prd
<=> ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP21_prd
& sP20_prd
& op1(e12,e12) = e12 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f335,f337,f336]) ).
fof(f339,plain,
( ( ( ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ~ sP21_prd
| ~ sP20_prd
| op1(e12,e12) != e12 )
& ~ sP19_prd )
| sP1_prd )
& ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP21_prd
& sP20_prd
& op1(e12,e12) = e12 )
| sP19_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f338]) ).
fof(f340,plain,
( op1(e12,e12) = e12
| sP19_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f339]) ).
fof(f350,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,e21) = e23 )
| ( ( 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,e20) = e23 )
| ( ( 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,e23) = e22 )
| ( ( 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,e21) = e22 )
| ( ( 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,e20) = e22 )
| ( ( 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,e23) = e21 )
| ( ( 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,e22) = e21 )
| ( ( 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,e20) = e21 )
| ( ( 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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f351,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,e22) = e23 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f253,f350]) ).
fof(f352,definition,
( sP23_prd
<=> ( op2(e20,e22) != e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f353,definition,
( sP24_prd
<=> ( op2(e21,e22) != e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f354,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,e22) = e23 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f351,f353,f352]) ).
fof(f355,plain,
( ( ( ( ( op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP24_prd
| ~ sP23_prd
| op2(e23,e22) != e23 )
& ~ 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,e22) = e23 )
| sP22_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f354]) ).
fof(f356,plain,
( op2(e23,e22) = e23
| sP22_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f355]) ).
fof(f366,definition,
( sP25_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(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f367,plain,
( sP3_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 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f254,f366]) ).
fof(f368,definition,
( sP26_prd
<=> ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f369,definition,
( sP27_prd
<=> ( op2(e21,e22) = e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f370,plain,
( sP3_prd
<=> ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP27_prd
& sP26_prd
& op2(e22,e22) = e22 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f367,f369,f368]) ).
fof(f371,plain,
( ( ( ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ~ sP27_prd
| ~ sP26_prd
| op2(e22,e22) != e22 )
& ~ sP25_prd )
| sP3_prd )
& ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP27_prd
& sP26_prd
& op2(e22,e22) = e22 )
| sP25_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f370]) ).
fof(f372,plain,
( op2(e22,e22) = e22
| sP25_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f382,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)],[f289]) ).
fof(f386,plain,
( h1(e13) != e20
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f382]) ).
fof(f388,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)],[f290]) ).
fof(f392,plain,
( h1(e13) != e21
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f393,plain,
( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f394,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)],[f291]) ).
fof(f398,plain,
( h1(e13) != e22
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f394]) ).
fof(f399,plain,
( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP6_prd ),
inference(cnf_transformation,[status(thm)],[f394]) ).
fof(f400,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)],[f292]) ).
fof(f405,plain,
( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f400]) ).
fof(f406,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)],[f293]) ).
fof(f409,plain,
( h2(e12) != e21
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f406]) ).
fof(f412,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)],[f294]) ).
fof(f417,plain,
( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f418,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)],[f295]) ).
fof(f419,plain,
( h3(e10) != e20
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f424,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)],[f296]) ).
fof(f426,plain,
( h3(e11) != e21
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f430,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)],[f297]) ).
fof(f433,plain,
( h3(e12) != e22
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f430]) ).
fof(f436,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)],[f298]) ).
fof(f438,plain,
( h4(e11) != e20
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f442,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)],[f299]) ).
fof(f443,plain,
( h4(e10) != e21
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f448,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)],[f300]) ).
fof(f452,plain,
( h4(e13) != e22
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f448]) ).
fof(f454,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,e10) = e13 )
| ( ( 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,e13) = e12 )
| ( ( 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,e11) = e12 )
| ( ( 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,e10) = e12 )
| ( ( 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,e13) = e11 )
| ( ( 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,e12) = e11 )
| ( ( 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,e10) = e11 )
| ( ( 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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f455,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,e11) = e13 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f318,f454]) ).
fof(f456,definition,
( sP29_prd
<=> ( op1(e10,e11) != e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f457,definition,
( sP30_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f458,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,e11) = e13 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f455,f457,f456]) ).
fof(f459,plain,
( ( ( ( ( op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ~ sP30_prd
| ~ sP29_prd
| op1(e13,e11) != e13 )
& ~ 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,e11) = e13 )
| sP28_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f458]) ).
fof(f460,plain,
( op1(e13,e11) = e13
| sP28_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f462,plain,
( sP30_prd
| sP28_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f465,plain,
( ~ sP28_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f459]) ).
fof(f470,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)],[f320]) ).
fof(f471,plain,
( op1(e10,e12) != e10
| op1(e10,e10) != e12
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f470]) ).
fof(f472,plain,
( op1(e10,e10) = e12
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f470]) ).
fof(f473,plain,
( op1(e10,e12) = e10
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f470]) ).
fof(f474,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)],[f321]) ).
fof(f476,plain,
( op1(e11,e11) = e12
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f474]) ).
fof(f478,definition,
( sP31_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,[sP31_prd])],[]) ).
fof(f479,plain,
( sP19_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 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f334,f478]) ).
fof(f480,definition,
( sP32_prd
<=> ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f481,definition,
( sP33_prd
<=> ( op1(e11,e11) = e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f482,plain,
( sP19_prd
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP33_prd
& sP32_prd
& op1(e11,e11) = e11 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f479,f481,f480]) ).
fof(f483,plain,
( ( ( ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ~ sP33_prd
| ~ sP32_prd
| op1(e11,e11) != e11 )
& ~ sP31_prd )
| sP19_prd )
& ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP33_prd
& sP32_prd
& op1(e11,e11) = e11 )
| sP31_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f482]) ).
fof(f484,plain,
( op1(e11,e11) = e11
| sP31_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f485,plain,
( sP32_prd
| sP31_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f488,plain,
( op1(e13,e11) = e13
| op1(e13,e13) != e11
| sP31_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f483]) ).
fof(f494,plain,
( ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| sP20_prd )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f336]) ).
fof(f495,plain,
( op1(e10,e12) = e10
| op1(e10,e10) != e12
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f496,plain,
( op1(e10,e10) = e12
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f497,plain,
( op1(e10,e12) != e10
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f494]) ).
fof(f498,plain,
( ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| sP21_prd )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f337]) ).
fof(f500,plain,
( op1(e11,e11) = e12
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f498]) ).
fof(f502,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,e20) = e23 )
| ( ( 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,e23) = e22 )
| ( ( 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,e21) = e22 )
| ( ( 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,e20) = e22 )
| ( ( 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,e23) = e21 )
| ( ( 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,e22) = e21 )
| ( ( 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,e20) = e21 )
| ( ( 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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f503,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,e21) = e23 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f350,f502]) ).
fof(f504,definition,
( sP35_prd
<=> ( op2(e20,e21) != e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f505,definition,
( sP36_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f506,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,e21) = e23 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f503,f505,f504]) ).
fof(f507,plain,
( ( ( ( ( op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ~ sP36_prd
| ~ sP35_prd
| op2(e23,e21) != e23 )
& ~ 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,e21) = e23 )
| sP34_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f506]) ).
fof(f508,plain,
( op2(e23,e21) = e23
| sP34_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f507]) ).
fof(f510,plain,
( sP36_prd
| sP34_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f507]) ).
fof(f518,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)],[f352]) ).
fof(f519,plain,
( op2(e20,e22) != e20
| op2(e20,e20) != e22
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f520,plain,
( op2(e20,e20) = e22
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f521,plain,
( op2(e20,e22) = e20
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f518]) ).
fof(f522,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)],[f353]) ).
fof(f525,plain,
( op2(e21,e22) = e21
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f526,definition,
( sP37_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,[sP37_prd])],[]) ).
fof(f527,plain,
( sP25_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 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f366,f526]) ).
fof(f528,definition,
( sP38_prd
<=> ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f529,definition,
( sP39_prd
<=> ( op2(e21,e21) = e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f530,plain,
( sP25_prd
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP39_prd
& sP38_prd
& op2(e21,e21) = e21 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f527,f529,f528]) ).
fof(f531,plain,
( ( ( ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ~ sP39_prd
| ~ sP38_prd
| op2(e21,e21) != e21 )
& ~ sP37_prd )
| sP25_prd )
& ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP39_prd
& sP38_prd
& op2(e21,e21) = e21 )
| sP37_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f530]) ).
fof(f532,plain,
( op2(e21,e21) = e21
| sP37_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f533,plain,
( sP38_prd
| sP37_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f536,plain,
( op2(e23,e21) = e23
| op2(e23,e23) != e21
| sP37_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f542,plain,
( ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| sP26_prd )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f368]) ).
fof(f543,plain,
( op2(e20,e22) = e20
| op2(e20,e20) != e22
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f544,plain,
( op2(e20,e20) = e22
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f545,plain,
( op2(e20,e22) != e20
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f546,plain,
( ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| sP27_prd )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f369]) ).
fof(f548,plain,
( op2(e21,e21) = e22
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f546]) ).
fof(f550,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,e13) = e12 )
| ( ( 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,e11) = e12 )
| ( ( 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,e10) = e12 )
| ( ( 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,e13) = e11 )
| ( ( 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,e12) = e11 )
| ( ( 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,e10) = e11 )
| ( ( 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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f551,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,e10) = e13 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f454,f550]) ).
fof(f552,definition,
( sP41_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f553,definition,
( sP42_prd
<=> ( op1(e11,e10) != e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f554,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,e10) = e13 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f551,f553,f552]) ).
fof(f555,plain,
( ( ( ( ( op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ~ sP42_prd
| ~ sP41_prd
| op1(e13,e10) != e13 )
& ~ 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,e10) = e13 )
| sP40_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f554]) ).
fof(f556,plain,
( op1(e13,e10) = e13
| sP40_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f557,plain,
( sP41_prd
| sP40_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f562,plain,
( op1(e13,e13) = e10
| op1(e12,e12) = e10
| ~ sP42_prd
| ~ sP41_prd
| op1(e13,e10) != e13
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f566,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)],[f456]) ).
fof(f569,plain,
( op1(e10,e11) = e10
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f570,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)],[f457]) ).
fof(f571,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f570]) ).
fof(f572,plain,
( op1(e11,e11) = e11
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f570]) ).
fof(f574,definition,
( sP43_prd
<=> ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f575,definition,
( sP44_prd
<=> ( op1(e11,e10) = e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f576,plain,
( sP31_prd
<=> ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP44_prd
& sP43_prd
& op1(e10,e10) = e10 ) ),
inference(formula_renaming,[status(thm)],[f478,f575,f574]) ).
fof(f577,plain,
( ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ~ sP44_prd
| ~ sP43_prd
| op1(e10,e10) != e10
| sP31_prd )
& ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP44_prd
& sP43_prd
& op1(e10,e10) = e10 )
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f576]) ).
fof(f578,plain,
( op1(e10,e10) = e10
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f580,plain,
( sP44_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f587,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| sP32_prd )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f480]) ).
fof(f588,plain,
( op1(e10,e11) = e10
| op1(e10,e10) != e11
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f587]) ).
fof(f590,plain,
( op1(e10,e11) != e10
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f587]) ).
fof(f591,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)],[f481]) ).
fof(f593,plain,
( op1(e11,e11) = e11
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f591]) ).
fof(f594,plain,
( op1(e11,e11) != e11
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f591]) ).
fof(f595,definition,
( sP45_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,e23) = e22 )
| ( ( 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,e21) = e22 )
| ( ( 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,e20) = e22 )
| ( ( 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,e23) = e21 )
| ( ( 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,e22) = e21 )
| ( ( 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,e20) = e21 )
| ( ( 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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f596,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,e20) = e23 )
| sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f502,f595]) ).
fof(f597,definition,
( sP46_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f598,definition,
( sP47_prd
<=> ( op2(e21,e20) != e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f599,plain,
( sP34_prd
<=> ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP47_prd
& sP46_prd
& op2(e23,e20) = e23 )
| sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f596,f598,f597]) ).
fof(f600,plain,
( ( ( ( ( op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ~ sP47_prd
| ~ sP46_prd
| op2(e23,e20) != e23 )
& ~ sP45_prd )
| sP34_prd )
& ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP47_prd
& sP46_prd
& op2(e23,e20) = e23 )
| sP45_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f599]) ).
fof(f601,plain,
( op2(e23,e20) = e23
| sP45_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f600]) ).
fof(f602,plain,
( sP46_prd
| sP45_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f600]) ).
fof(f605,plain,
( op2(e23,e20) != e23
| op2(e23,e23) != e20
| sP45_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f600]) ).
fof(f611,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)],[f504]) ).
fof(f614,plain,
( op2(e20,e21) = e20
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f615,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)],[f505]) ).
fof(f616,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f619,definition,
( sP48_prd
<=> ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f620,definition,
( sP49_prd
<=> ( op2(e21,e20) = e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f621,plain,
( sP37_prd
<=> ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP49_prd
& sP48_prd
& op2(e20,e20) = e20 ) ),
inference(formula_renaming,[status(thm)],[f526,f620,f619]) ).
fof(f622,plain,
( ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ~ sP49_prd
| ~ sP48_prd
| op2(e20,e20) != e20
| sP37_prd )
& ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP49_prd
& sP48_prd
& op2(e20,e20) = e20 )
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f621]) ).
fof(f623,plain,
( op2(e20,e20) = e20
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f622]) ).
fof(f625,plain,
( sP49_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f622]) ).
fof(f629,plain,
( op2(e23,e20) != e23
| op2(e22,e22) = e20
| ~ sP49_prd
| ~ sP48_prd
| op2(e20,e20) != e20
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f622]) ).
fof(f632,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| sP38_prd )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f528]) ).
fof(f633,plain,
( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f636,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)],[f529]) ).
fof(f639,plain,
( op2(e21,e21) != e21
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f636]) ).
fof(f640,definition,
( sP50_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,e11) = e12 )
| ( ( 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,e10) = e12 )
| ( ( 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,e13) = e11 )
| ( ( 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,e12) = e11 )
| ( ( 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,e10) = e11 )
| ( ( 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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f641,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,e13) = e12 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f550,f640]) ).
fof(f642,definition,
( sP51_prd
<=> ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f643,definition,
( sP52_prd
<=> ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f644,plain,
( sP40_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& sP52_prd
& sP51_prd
& op1(e12,e13) = e12 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f641,f643,f642]) ).
fof(f645,plain,
( ( ( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| ~ sP52_prd
| ~ sP51_prd
| op1(e12,e13) != e12 )
& ~ sP50_prd )
| sP40_prd )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& sP52_prd
& sP51_prd
& op1(e12,e13) = e12 )
| sP50_prd
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f644]) ).
fof(f646,plain,
( op1(e12,e13) = e12
| sP50_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f645]) ).
fof(f656,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)],[f552]) ).
fof(f657,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f656]) ).
fof(f658,plain,
( op1(e10,e10) = e10
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f656]) ).
fof(f660,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)],[f553]) ).
fof(f663,plain,
( op1(e11,e10) = e11
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f660]) ).
fof(f664,plain,
( ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP43_prd )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f574]) ).
fof(f666,plain,
( op1(e10,e10) = e10
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f664]) ).
fof(f667,plain,
( op1(e10,e10) != e10
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f664]) ).
fof(f668,plain,
( ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| sP44_prd )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f575]) ).
fof(f669,plain,
( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f668]) ).
fof(f670,plain,
( op1(e11,e11) = e10
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f668]) ).
fof(f672,definition,
( sP53_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,e21) = e22 )
| ( ( 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,e20) = e22 )
| ( ( 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,e23) = e21 )
| ( ( 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,e22) = e21 )
| ( ( 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,e20) = e21 )
| ( ( 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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f673,plain,
( sP45_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,e23) = e22 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f595,f672]) ).
fof(f674,definition,
( sP54_prd
<=> ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f675,definition,
( sP55_prd
<=> ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f676,plain,
( sP45_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& sP55_prd
& sP54_prd
& op2(e22,e23) = e22 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f673,f675,f674]) ).
fof(f677,plain,
( ( ( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| ~ sP55_prd
| ~ sP54_prd
| op2(e22,e23) != e22 )
& ~ sP53_prd )
| sP45_prd )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& sP55_prd
& sP54_prd
& op2(e22,e23) = e22 )
| sP53_prd
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f676]) ).
fof(f678,plain,
( op2(e22,e23) = e22
| sP53_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f677]) ).
fof(f688,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP46_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f597]) ).
fof(f689,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f688]) ).
fof(f690,plain,
( op2(e20,e20) = e20
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f688]) ).
fof(f692,plain,
( ( ( op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| sP47_prd )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f598]) ).
fof(f695,plain,
( op2(e21,e20) = e21
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f692]) ).
fof(f696,plain,
( ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP48_prd )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f619]) ).
fof(f698,plain,
( op2(e20,e20) = e20
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f699,plain,
( op2(e20,e20) != e20
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f700,plain,
( ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| sP49_prd )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f620]) ).
fof(f701,plain,
( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f700]) ).
fof(f702,plain,
( op2(e21,e21) = e20
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f700]) ).
fof(f704,definition,
( sP56_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,e11) = e12 )
| ( ( 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,e10) = e12 )
| ( ( 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,e13) = e11 )
| ( ( 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,e12) = e11 )
| ( ( 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,e10) = e11 )
| ( ( 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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f705,plain,
( sP50_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 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f640,f704]) ).
fof(f706,definition,
( sP57_prd
<=> ( op1(e10,e12) != e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f707,definition,
( sP58_prd
<=> ( op1(e11,e12) != e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f708,plain,
( sP50_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP58_prd
& sP57_prd
& op1(e12,e12) = e12 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f705,f707,f706]) ).
fof(f709,plain,
( ( ( ( ( op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP58_prd
| ~ sP57_prd
| op1(e12,e12) != e12 )
& ~ sP56_prd )
| sP50_prd )
& ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP58_prd
& sP57_prd
& op1(e12,e12) = e12 )
| sP56_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f708]) ).
fof(f710,plain,
( op1(e12,e12) = e12
| sP56_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f709]) ).
fof(f720,plain,
( ( ( op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| sP51_prd )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f642]) ).
fof(f722,plain,
( op1(e10,e10) = e13
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f723,plain,
( op1(e10,e13) = e10
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f724,plain,
( ( ( op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| sP52_prd )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f643]) ).
fof(f725,plain,
( op1(e11,e13) != e11
| op1(e11,e11) != e13
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f724]) ).
fof(f726,plain,
( op1(e11,e11) = e13
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f724]) ).
fof(f727,plain,
( op1(e11,e13) = e11
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f724]) ).
fof(f728,definition,
( sP59_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,e21) = e22 )
| ( ( 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,e20) = e22 )
| ( ( 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,e23) = e21 )
| ( ( 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,e22) = e21 )
| ( ( 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,e20) = e21 )
| ( ( 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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f729,plain,
( sP53_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 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f672,f728]) ).
fof(f730,definition,
( sP60_prd
<=> ( op2(e20,e22) != e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f731,definition,
( sP61_prd
<=> ( op2(e21,e22) != e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f732,plain,
( sP53_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP61_prd
& sP60_prd
& op2(e22,e22) = e22 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f729,f731,f730]) ).
fof(f733,plain,
( ( ( ( ( op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP61_prd
| ~ sP60_prd
| op2(e22,e22) != e22 )
& ~ sP59_prd )
| sP53_prd )
& ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP61_prd
& sP60_prd
& op2(e22,e22) = e22 )
| sP59_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f732]) ).
fof(f734,plain,
( op2(e22,e22) = e22
| sP59_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f733]) ).
fof(f744,plain,
( ( ( op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| sP54_prd )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f674]) ).
fof(f746,plain,
( op2(e20,e20) = e23
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f748,plain,
( ( ( op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| sP55_prd )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f675]) ).
fof(f750,plain,
( op2(e21,e21) = e23
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f748]) ).
fof(f751,plain,
( op2(e21,e23) = e21
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f748]) ).
fof(f752,definition,
( sP62_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,e10) = e12 )
| ( ( 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,e13) = e11 )
| ( ( 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,e12) = e11 )
| ( ( 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,e10) = e11 )
| ( ( 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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f753,plain,
( sP56_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,e11) = e12 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f704,f752]) ).
fof(f754,definition,
( sP63_prd
<=> ( op1(e10,e11) != e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f755,definition,
( sP64_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f756,plain,
( sP56_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP64_prd
& sP63_prd
& op1(e12,e11) = e12 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f753,f755,f754]) ).
fof(f757,plain,
( ( ( ( ( op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ~ sP64_prd
| ~ sP63_prd
| op1(e12,e11) != e12 )
& ~ sP62_prd )
| sP56_prd )
& ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP64_prd
& sP63_prd
& op1(e12,e11) = e12 )
| sP62_prd
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f756]) ).
fof(f760,plain,
( sP64_prd
| sP62_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f757]) ).
fof(f768,plain,
( ( ( op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| sP57_prd )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f706]) ).
fof(f769,plain,
( op1(e10,e12) != e10
| op1(e10,e10) != e12
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f768]) ).
fof(f770,plain,
( op1(e10,e10) = e12
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f768]) ).
fof(f771,plain,
( op1(e10,e12) = e10
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f768]) ).
fof(f772,plain,
( ( ( op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| sP58_prd )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f707]) ).
fof(f774,plain,
( op1(e11,e11) = e12
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f772]) ).
fof(f776,definition,
( sP65_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,e20) = e22 )
| ( ( 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,e23) = e21 )
| ( ( 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,e22) = e21 )
| ( ( 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,e20) = e21 )
| ( ( 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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f777,plain,
( sP59_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,e21) = e22 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f728,f776]) ).
fof(f778,definition,
( sP66_prd
<=> ( op2(e20,e21) != e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f779,definition,
( sP67_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f780,plain,
( sP59_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP67_prd
& sP66_prd
& op2(e22,e21) = e22 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f777,f779,f778]) ).
fof(f781,plain,
( ( ( ( ( op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ~ sP67_prd
| ~ sP66_prd
| op2(e22,e21) != e22 )
& ~ sP65_prd )
| sP59_prd )
& ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP67_prd
& sP66_prd
& op2(e22,e21) = e22 )
| sP65_prd
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f780]) ).
fof(f784,plain,
( sP67_prd
| sP65_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f781]) ).
fof(f792,plain,
( ( ( op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| sP60_prd )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f730]) ).
fof(f793,plain,
( op2(e20,e22) != e20
| op2(e20,e20) != e22
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f794,plain,
( op2(e20,e20) = e22
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f795,plain,
( op2(e20,e22) = e20
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f796,plain,
( ( ( op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| sP61_prd )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f731]) ).
fof(f799,plain,
( op2(e21,e22) = e21
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f796]) ).
fof(f800,definition,
( sP68_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,e13) = e11 )
| ( ( 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,e12) = e11 )
| ( ( 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,e10) = e11 )
| ( ( 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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f801,plain,
( sP62_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,e10) = e12 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f752,f800]) ).
fof(f802,definition,
( sP69_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f803,definition,
( sP70_prd
<=> ( op1(e11,e10) != e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f804,plain,
( sP62_prd
<=> ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP70_prd
& sP69_prd
& op1(e12,e10) = e12 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f801,f803,f802]) ).
fof(f805,plain,
( ( ( ( ( op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ~ sP70_prd
| ~ sP69_prd
| op1(e12,e10) != e12 )
& ~ sP68_prd )
| sP62_prd )
& ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP70_prd
& sP69_prd
& op1(e12,e10) = e12 )
| sP68_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f804]) ).
fof(f806,plain,
( op1(e12,e10) = e12
| sP68_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f805]) ).
fof(f816,plain,
( ( ( op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| sP63_prd )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f754]) ).
fof(f818,plain,
( op1(e10,e10) = e11
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f819,plain,
( op1(e10,e11) = e10
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f820,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP64_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f755]) ).
fof(f821,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f824,definition,
( sP71_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,e23) = e21 )
| ( ( 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,e22) = e21 )
| ( ( 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,e20) = e21 )
| ( ( 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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f825,plain,
( sP65_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,e20) = e22 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f776,f824]) ).
fof(f826,definition,
( sP72_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP72_prd])],[]) ).
fof(f827,definition,
( sP73_prd
<=> ( op2(e21,e20) != e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP73_prd])],[]) ).
fof(f828,plain,
( sP65_prd
<=> ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP73_prd
& sP72_prd
& op2(e22,e20) = e22 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f825,f827,f826]) ).
fof(f829,plain,
( ( ( ( ( op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ~ sP73_prd
| ~ sP72_prd
| op2(e22,e20) != e22 )
& ~ sP71_prd )
| sP65_prd )
& ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP73_prd
& sP72_prd
& op2(e22,e20) = e22 )
| sP71_prd
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f828]) ).
fof(f830,plain,
( op2(e22,e20) = e22
| sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f829]) ).
fof(f840,plain,
( ( ( op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| sP66_prd )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f778]) ).
fof(f842,plain,
( op2(e20,e20) = e21
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f840]) ).
fof(f843,plain,
( op2(e20,e21) = e20
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f840]) ).
fof(f844,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP67_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f779]) ).
fof(f845,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f848,definition,
( sP74_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,e12) = e11 )
| ( ( 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,e10) = e11 )
| ( ( 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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP74_prd])],[]) ).
fof(f849,plain,
( sP68_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,e13) = e11 )
| sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f800,f848]) ).
fof(f850,definition,
( sP75_prd
<=> ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP75_prd])],[]) ).
fof(f851,definition,
( sP76_prd
<=> ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP76_prd])],[]) ).
fof(f852,plain,
( sP68_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& sP76_prd
& sP75_prd
& op1(e11,e13) = e11 )
| sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f849,f851,f850]) ).
fof(f853,plain,
( ( ( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| ~ sP76_prd
| ~ sP75_prd
| op1(e11,e13) != e11 )
& ~ sP74_prd )
| sP68_prd )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& sP76_prd
& sP75_prd
& op1(e11,e13) = e11 )
| sP74_prd
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f852]) ).
fof(f854,plain,
( op1(e11,e13) = e11
| sP74_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f853]) ).
fof(f856,plain,
( sP76_prd
| sP74_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f853]) ).
fof(f858,plain,
( op1(e13,e13) != e13
| op1(e13,e13) != e13
| sP74_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f853]) ).
fof(f864,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP69_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f802]) ).
fof(f865,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f866,plain,
( op1(e10,e10) = e10
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f868,plain,
( ( ( op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| sP70_prd )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f803]) ).
fof(f871,plain,
( op1(e11,e10) = e11
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f868]) ).
fof(f872,definition,
( sP77_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,e22) = e21 )
| ( ( 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,e20) = e21 )
| ( ( 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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP77_prd])],[]) ).
fof(f873,plain,
( sP71_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,e23) = e21 )
| sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f824,f872]) ).
fof(f874,definition,
( sP78_prd
<=> ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP78_prd])],[]) ).
fof(f875,definition,
( sP79_prd
<=> ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP79_prd])],[]) ).
fof(f876,plain,
( sP71_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& sP79_prd
& sP78_prd
& op2(e21,e23) = e21 )
| sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f873,f875,f874]) ).
fof(f877,plain,
( ( ( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| ~ sP79_prd
| ~ sP78_prd
| op2(e21,e23) != e21 )
& ~ sP77_prd )
| sP71_prd )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& sP79_prd
& sP78_prd
& op2(e21,e23) = e21 )
| sP77_prd
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f876]) ).
fof(f878,plain,
( op2(e21,e23) = e21
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f877]) ).
fof(f882,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != e23
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f877]) ).
fof(f888,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP72_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f826]) ).
fof(f889,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f890,plain,
( op2(e20,e20) = e20
| sP72_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f892,plain,
( ( ( op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| sP73_prd )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f827]) ).
fof(f895,plain,
( op2(e21,e20) = e21
| sP73_prd ),
inference(cnf_transformation,[status(thm)],[f892]) ).
fof(f896,definition,
( sP80_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,e10) = e11 )
| ( ( 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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP80_prd])],[]) ).
fof(f897,plain,
( sP74_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,e12) = e11 )
| sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f848,f896]) ).
fof(f898,definition,
( sP81_prd
<=> ( op1(e10,e12) != e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP81_prd])],[]) ).
fof(f899,definition,
( sP82_prd
<=> ( op1(e11,e12) != e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP82_prd])],[]) ).
fof(f900,plain,
( sP74_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP82_prd
& sP81_prd
& op1(e11,e12) = e11 )
| sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f897,f899,f898]) ).
fof(f901,plain,
( ( ( ( ( op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP82_prd
| ~ sP81_prd
| op1(e11,e12) != e11 )
& ~ sP80_prd )
| sP74_prd )
& ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP82_prd
& sP81_prd
& op1(e11,e12) = e11 )
| sP80_prd
| ~ sP74_prd ) ),
inference(NNF_transformation,[status(thm)],[f900]) ).
fof(f902,plain,
( op1(e11,e12) = e11
| sP80_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f901]) ).
fof(f912,plain,
( ( ( op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| sP75_prd )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f850]) ).
fof(f914,plain,
( op1(e10,e10) = e13
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f912]) ).
fof(f915,plain,
( op1(e10,e13) = e10
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f912]) ).
fof(f916,plain,
( ( ( op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| sP76_prd )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13
| ~ sP76_prd ) ),
inference(NNF_transformation,[status(thm)],[f851]) ).
fof(f917,plain,
( op1(e11,e13) != e11
| op1(e11,e11) != e13
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f916]) ).
fof(f918,plain,
( op1(e11,e11) = e13
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f916]) ).
fof(f919,plain,
( op1(e11,e13) = e11
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f916]) ).
fof(f920,definition,
( sP83_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,e20) = e21 )
| ( ( 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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP83_prd])],[]) ).
fof(f921,plain,
( sP77_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,e22) = e21 )
| sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f872,f920]) ).
fof(f922,definition,
( sP84_prd
<=> ( op2(e20,e22) != e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP84_prd])],[]) ).
fof(f923,definition,
( sP85_prd
<=> ( op2(e21,e22) != e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP85_prd])],[]) ).
fof(f924,plain,
( sP77_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP85_prd
& sP84_prd
& op2(e21,e22) = e21 )
| sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f921,f923,f922]) ).
fof(f925,plain,
( ( ( ( ( op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP85_prd
| ~ sP84_prd
| op2(e21,e22) != e21 )
& ~ sP83_prd )
| sP77_prd )
& ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP85_prd
& sP84_prd
& op2(e21,e22) = e21 )
| sP83_prd
| ~ sP77_prd ) ),
inference(NNF_transformation,[status(thm)],[f924]) ).
fof(f926,plain,
( op2(e21,e22) = e21
| sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f925]) ).
fof(f936,plain,
( ( ( op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| sP78_prd )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23
| ~ sP78_prd ) ),
inference(NNF_transformation,[status(thm)],[f874]) ).
fof(f938,plain,
( op2(e20,e20) = e23
| sP78_prd ),
inference(cnf_transformation,[status(thm)],[f936]) ).
fof(f940,plain,
( ( ( op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| sP79_prd )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23
| ~ sP79_prd ) ),
inference(NNF_transformation,[status(thm)],[f875]) ).
fof(f942,plain,
( op2(e21,e21) = e23
| sP79_prd ),
inference(cnf_transformation,[status(thm)],[f940]) ).
fof(f943,plain,
( op2(e21,e23) = e21
| sP79_prd ),
inference(cnf_transformation,[status(thm)],[f940]) ).
fof(f944,definition,
( sP86_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,e10) = e11 )
| ( ( 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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP86_prd])],[]) ).
fof(f945,plain,
( sP80_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 )
| sP86_prd ) ),
inference(formula_renaming,[status(thm)],[f896,f944]) ).
fof(f946,definition,
( sP87_prd
<=> ( op1(e10,e11) != e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP87_prd])],[]) ).
fof(f947,definition,
( sP88_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP88_prd])],[]) ).
fof(f948,plain,
( sP80_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP88_prd
& sP87_prd
& op1(e11,e11) = e11 )
| sP86_prd ) ),
inference(formula_renaming,[status(thm)],[f945,f947,f946]) ).
fof(f949,plain,
( ( ( ( ( op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ~ sP88_prd
| ~ sP87_prd
| op1(e11,e11) != e11 )
& ~ sP86_prd )
| sP80_prd )
& ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP88_prd
& sP87_prd
& op1(e11,e11) = e11 )
| sP86_prd
| ~ sP80_prd ) ),
inference(NNF_transformation,[status(thm)],[f948]) ).
fof(f950,plain,
( op1(e11,e11) = e11
| sP86_prd
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f949]) ).
fof(f952,plain,
( sP88_prd
| sP86_prd
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f949]) ).
fof(f960,plain,
( ( ( op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| sP81_prd )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12
| ~ sP81_prd ) ),
inference(NNF_transformation,[status(thm)],[f898]) ).
fof(f961,plain,
( op1(e10,e12) != e10
| op1(e10,e10) != e12
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f960]) ).
fof(f962,plain,
( op1(e10,e10) = e12
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f960]) ).
fof(f963,plain,
( op1(e10,e12) = e10
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f960]) ).
fof(f964,plain,
( ( ( op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| sP82_prd )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12
| ~ sP82_prd ) ),
inference(NNF_transformation,[status(thm)],[f899]) ).
fof(f966,plain,
( op1(e11,e11) = e12
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f964]) ).
fof(f968,definition,
( sP89_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,e20) = e21 )
| ( ( 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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP89_prd])],[]) ).
fof(f969,plain,
( sP83_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 )
| sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f920,f968]) ).
fof(f970,definition,
( sP90_prd
<=> ( op2(e20,e21) != e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP90_prd])],[]) ).
fof(f971,definition,
( sP91_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP91_prd])],[]) ).
fof(f972,plain,
( sP83_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP91_prd
& sP90_prd
& op2(e21,e21) = e21 )
| sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f969,f971,f970]) ).
fof(f973,plain,
( ( ( ( ( op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ~ sP91_prd
| ~ sP90_prd
| op2(e21,e21) != e21 )
& ~ sP89_prd )
| sP83_prd )
& ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP91_prd
& sP90_prd
& op2(e21,e21) = e21 )
| sP89_prd
| ~ sP83_prd ) ),
inference(NNF_transformation,[status(thm)],[f972]) ).
fof(f976,plain,
( sP91_prd
| sP89_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f973]) ).
fof(f984,plain,
( ( ( op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| sP84_prd )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22
| ~ sP84_prd ) ),
inference(NNF_transformation,[status(thm)],[f922]) ).
fof(f985,plain,
( op2(e20,e22) != e20
| op2(e20,e20) != e22
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f984]) ).
fof(f986,plain,
( op2(e20,e20) = e22
| sP84_prd ),
inference(cnf_transformation,[status(thm)],[f984]) ).
fof(f987,plain,
( op2(e20,e22) = e20
| sP84_prd ),
inference(cnf_transformation,[status(thm)],[f984]) ).
fof(f988,plain,
( ( ( op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| sP85_prd )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22
| ~ sP85_prd ) ),
inference(NNF_transformation,[status(thm)],[f923]) ).
fof(f991,plain,
( op2(e21,e22) = e21
| sP85_prd ),
inference(cnf_transformation,[status(thm)],[f988]) ).
fof(f992,definition,
( sP92_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,e13) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e10,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP92_prd])],[]) ).
fof(f993,plain,
( sP86_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,e10) = e11 )
| sP92_prd ) ),
inference(formula_renaming,[status(thm)],[f944,f992]) ).
fof(f994,definition,
( sP93_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP93_prd])],[]) ).
fof(f995,definition,
( sP94_prd
<=> ( op1(e11,e10) != e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP94_prd])],[]) ).
fof(f996,plain,
( sP86_prd
<=> ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP94_prd
& sP93_prd
& op1(e11,e10) = e11 )
| sP92_prd ) ),
inference(formula_renaming,[status(thm)],[f993,f995,f994]) ).
fof(f997,plain,
( ( ( ( ( op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ~ sP94_prd
| ~ sP93_prd
| op1(e11,e10) != e11 )
& ~ sP92_prd )
| sP86_prd )
& ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP94_prd
& sP93_prd
& op1(e11,e10) = e11 )
| sP92_prd
| ~ sP86_prd ) ),
inference(NNF_transformation,[status(thm)],[f996]) ).
fof(f998,plain,
( op1(e11,e10) = e11
| sP92_prd
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f997]) ).
fof(f1008,plain,
( ( ( op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| sP87_prd )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP87_prd ) ),
inference(NNF_transformation,[status(thm)],[f946]) ).
fof(f1010,plain,
( op1(e10,e10) = e11
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1008]) ).
fof(f1011,plain,
( op1(e10,e11) = e10
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1008]) ).
fof(f1012,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP88_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP88_prd ) ),
inference(NNF_transformation,[status(thm)],[f947]) ).
fof(f1013,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f1012]) ).
fof(f1014,plain,
( op1(e11,e11) = e11
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f1012]) ).
fof(f1016,definition,
( sP95_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,e23) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP95_prd])],[]) ).
fof(f1017,plain,
( sP89_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,e20) = e21 )
| sP95_prd ) ),
inference(formula_renaming,[status(thm)],[f968,f1016]) ).
fof(f1018,definition,
( sP96_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP96_prd])],[]) ).
fof(f1019,definition,
( sP97_prd
<=> ( op2(e21,e20) != e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP97_prd])],[]) ).
fof(f1020,plain,
( sP89_prd
<=> ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP97_prd
& sP96_prd
& op2(e21,e20) = e21 )
| sP95_prd ) ),
inference(formula_renaming,[status(thm)],[f1017,f1019,f1018]) ).
fof(f1021,plain,
( ( ( ( ( op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ~ sP97_prd
| ~ sP96_prd
| op2(e21,e20) != e21 )
& ~ sP95_prd )
| sP89_prd )
& ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP97_prd
& sP96_prd
& op2(e21,e20) = e21 )
| sP95_prd
| ~ sP89_prd ) ),
inference(NNF_transformation,[status(thm)],[f1020]) ).
fof(f1022,plain,
( op2(e21,e20) = e21
| sP95_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1021]) ).
fof(f1032,plain,
( ( ( op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| sP90_prd )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ sP90_prd ) ),
inference(NNF_transformation,[status(thm)],[f970]) ).
fof(f1034,plain,
( op2(e20,e20) = e21
| sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1032]) ).
fof(f1035,plain,
( op2(e20,e21) = e20
| sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1032]) ).
fof(f1036,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP91_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP91_prd ) ),
inference(NNF_transformation,[status(thm)],[f971]) ).
fof(f1037,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1036]) ).
fof(f1040,definition,
( sP98_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,e12) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e10,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP98_prd])],[]) ).
fof(f1041,plain,
( sP92_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,e13) = e10 )
| sP98_prd ) ),
inference(formula_renaming,[status(thm)],[f992,f1040]) ).
fof(f1042,definition,
( sP99_prd
<=> ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP99_prd])],[]) ).
fof(f1043,definition,
( sP100_prd
<=> ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP100_prd])],[]) ).
fof(f1044,plain,
( sP92_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& sP100_prd
& sP99_prd
& op1(e10,e13) = e10 )
| sP98_prd ) ),
inference(formula_renaming,[status(thm)],[f1041,f1043,f1042]) ).
fof(f1045,plain,
( ( ( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| ~ sP100_prd
| ~ sP99_prd
| op1(e10,e13) != e10 )
& ~ sP98_prd )
| sP92_prd )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& sP100_prd
& sP99_prd
& op1(e10,e13) = e10 )
| sP98_prd
| ~ sP92_prd ) ),
inference(NNF_transformation,[status(thm)],[f1044]) ).
fof(f1046,plain,
( op1(e10,e13) = e10
| sP98_prd
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1045]) ).
fof(f1050,plain,
( op1(e13,e13) != e13
| op1(e13,e13) != e13
| sP98_prd
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1045]) ).
fof(f1056,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP93_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP93_prd ) ),
inference(NNF_transformation,[status(thm)],[f994]) ).
fof(f1057,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1056]) ).
fof(f1058,plain,
( op1(e10,e10) = e10
| sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1056]) ).
fof(f1060,plain,
( ( ( op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| sP94_prd )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10
| ~ sP94_prd ) ),
inference(NNF_transformation,[status(thm)],[f995]) ).
fof(f1063,plain,
( op1(e11,e10) = e11
| sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1060]) ).
fof(f1064,definition,
( sP101_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,e22) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP101_prd])],[]) ).
fof(f1065,plain,
( sP95_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,e23) = e20 )
| sP101_prd ) ),
inference(formula_renaming,[status(thm)],[f1016,f1064]) ).
fof(f1066,definition,
( sP102_prd
<=> ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP102_prd])],[]) ).
fof(f1067,definition,
( sP103_prd
<=> ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP103_prd])],[]) ).
fof(f1068,plain,
( sP95_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& sP103_prd
& sP102_prd
& op2(e20,e23) = e20 )
| sP101_prd ) ),
inference(formula_renaming,[status(thm)],[f1065,f1067,f1066]) ).
fof(f1069,plain,
( ( ( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| ~ sP103_prd
| ~ sP102_prd
| op2(e20,e23) != e20 )
& ~ sP101_prd )
| sP95_prd )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& sP103_prd
& sP102_prd
& op2(e20,e23) = e20 )
| sP101_prd
| ~ sP95_prd ) ),
inference(NNF_transformation,[status(thm)],[f1068]) ).
fof(f1070,plain,
( op2(e20,e23) = e20
| sP101_prd
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1069]) ).
fof(f1074,plain,
( op2(e23,e23) != e23
| op2(e23,e23) != e23
| sP101_prd
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1069]) ).
fof(f1080,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP96_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP96_prd ) ),
inference(NNF_transformation,[status(thm)],[f1018]) ).
fof(f1081,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1080]) ).
fof(f1082,plain,
( op2(e20,e20) = e20
| sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1080]) ).
fof(f1084,plain,
( ( ( op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| sP97_prd )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20
| ~ sP97_prd ) ),
inference(NNF_transformation,[status(thm)],[f1019]) ).
fof(f1087,plain,
( op2(e21,e20) = e21
| sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1084]) ).
fof(f1088,definition,
( sP104_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,e11) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP104_prd])],[]) ).
fof(f1089,plain,
( sP98_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,e12) = e10 )
| sP104_prd ) ),
inference(formula_renaming,[status(thm)],[f1040,f1088]) ).
fof(f1090,definition,
( sP105_prd
<=> ( op1(e10,e12) != e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP105_prd])],[]) ).
fof(f1091,definition,
( sP106_prd
<=> ( op1(e11,e12) != e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP106_prd])],[]) ).
fof(f1092,plain,
( sP98_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP106_prd
& sP105_prd
& op1(e10,e12) = e10 )
| sP104_prd ) ),
inference(formula_renaming,[status(thm)],[f1089,f1091,f1090]) ).
fof(f1093,plain,
( ( ( ( ( op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP106_prd
| ~ sP105_prd
| op1(e10,e12) != e10 )
& ~ sP104_prd )
| sP98_prd )
& ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP106_prd
& sP105_prd
& op1(e10,e12) = e10 )
| sP104_prd
| ~ sP98_prd ) ),
inference(NNF_transformation,[status(thm)],[f1092]) ).
fof(f1094,plain,
( op1(e10,e12) = e10
| sP104_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1093]) ).
fof(f1095,plain,
( sP105_prd
| sP104_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1093]) ).
fof(f1104,plain,
( ( ( op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| sP99_prd )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13
| ~ sP99_prd ) ),
inference(NNF_transformation,[status(thm)],[f1042]) ).
fof(f1106,plain,
( op1(e10,e10) = e13
| sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1104]) ).
fof(f1107,plain,
( op1(e10,e13) = e10
| sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1104]) ).
fof(f1108,plain,
( ( ( op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| sP100_prd )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13
| ~ sP100_prd ) ),
inference(NNF_transformation,[status(thm)],[f1043]) ).
fof(f1109,plain,
( op1(e11,e13) != e11
| op1(e11,e11) != e13
| ~ sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1108]) ).
fof(f1110,plain,
( op1(e11,e11) = e13
| sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1108]) ).
fof(f1111,plain,
( op1(e11,e13) = e11
| sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1108]) ).
fof(f1112,definition,
( sP107_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,e21) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP107_prd])],[]) ).
fof(f1113,plain,
( sP101_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,e22) = e20 )
| sP107_prd ) ),
inference(formula_renaming,[status(thm)],[f1064,f1112]) ).
fof(f1114,definition,
( sP108_prd
<=> ( op2(e20,e22) != e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP108_prd])],[]) ).
fof(f1115,definition,
( sP109_prd
<=> ( op2(e21,e22) != e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP109_prd])],[]) ).
fof(f1116,plain,
( sP101_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP109_prd
& sP108_prd
& op2(e20,e22) = e20 )
| sP107_prd ) ),
inference(formula_renaming,[status(thm)],[f1113,f1115,f1114]) ).
fof(f1117,plain,
( ( ( ( ( op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP109_prd
| ~ sP108_prd
| op2(e20,e22) != e20 )
& ~ sP107_prd )
| sP101_prd )
& ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP109_prd
& sP108_prd
& op2(e20,e22) = e20 )
| sP107_prd
| ~ sP101_prd ) ),
inference(NNF_transformation,[status(thm)],[f1116]) ).
fof(f1118,plain,
( op2(e20,e22) = e20
| sP107_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1117]) ).
fof(f1119,plain,
( sP108_prd
| sP107_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1117]) ).
fof(f1128,plain,
( ( ( op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| sP102_prd )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23
| ~ sP102_prd ) ),
inference(NNF_transformation,[status(thm)],[f1066]) ).
fof(f1130,plain,
( op2(e20,e20) = e23
| sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1128]) ).
fof(f1132,plain,
( ( ( op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| sP103_prd )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23
| ~ sP103_prd ) ),
inference(NNF_transformation,[status(thm)],[f1067]) ).
fof(f1134,plain,
( op2(e21,e21) = e23
| sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1132]) ).
fof(f1135,plain,
( op2(e21,e23) = e21
| sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1132]) ).
fof(f1136,definition,
( sP110_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,[sP110_prd])],[]) ).
fof(f1137,plain,
( sP104_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,e11) = e10 )
| sP110_prd ) ),
inference(formula_renaming,[status(thm)],[f1088,f1136]) ).
fof(f1138,definition,
( sP111_prd
<=> ( op1(e10,e11) != e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP111_prd])],[]) ).
fof(f1139,definition,
( sP112_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP112_prd])],[]) ).
fof(f1140,plain,
( sP104_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP112_prd
& sP111_prd
& op1(e10,e11) = e10 )
| sP110_prd ) ),
inference(formula_renaming,[status(thm)],[f1137,f1139,f1138]) ).
fof(f1141,plain,
( ( ( ( ( op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ~ sP112_prd
| ~ sP111_prd
| op1(e10,e11) != e10 )
& ~ sP110_prd )
| sP104_prd )
& ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP112_prd
& sP111_prd
& op1(e10,e11) = e10 )
| sP110_prd
| ~ sP104_prd ) ),
inference(NNF_transformation,[status(thm)],[f1140]) ).
fof(f1142,plain,
( op1(e10,e11) = e10
| sP110_prd
| ~ sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1141]) ).
fof(f1144,plain,
( sP112_prd
| sP110_prd
| ~ sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1141]) ).
fof(f1152,plain,
( ( ( op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| sP105_prd )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12
| ~ sP105_prd ) ),
inference(NNF_transformation,[status(thm)],[f1090]) ).
fof(f1153,plain,
( op1(e10,e12) != e10
| op1(e10,e10) != e12
| ~ sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1152]) ).
fof(f1154,plain,
( op1(e10,e10) = e12
| sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1152]) ).
fof(f1155,plain,
( op1(e10,e12) = e10
| sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1152]) ).
fof(f1156,plain,
( ( ( op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| sP106_prd )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12
| ~ sP106_prd ) ),
inference(NNF_transformation,[status(thm)],[f1091]) ).
fof(f1158,plain,
( op1(e11,e11) = e12
| sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1156]) ).
fof(f1160,definition,
( sP113_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,[sP113_prd])],[]) ).
fof(f1161,plain,
( sP107_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,e21) = e20 )
| sP113_prd ) ),
inference(formula_renaming,[status(thm)],[f1112,f1160]) ).
fof(f1162,definition,
( sP114_prd
<=> ( op2(e20,e21) != e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP114_prd])],[]) ).
fof(f1163,definition,
( sP115_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP115_prd])],[]) ).
fof(f1164,plain,
( sP107_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP115_prd
& sP114_prd
& op2(e20,e21) = e20 )
| sP113_prd ) ),
inference(formula_renaming,[status(thm)],[f1161,f1163,f1162]) ).
fof(f1165,plain,
( ( ( ( ( op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ~ sP115_prd
| ~ sP114_prd
| op2(e20,e21) != e20 )
& ~ sP113_prd )
| sP107_prd )
& ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP115_prd
& sP114_prd
& op2(e20,e21) = e20 )
| sP113_prd
| ~ sP107_prd ) ),
inference(NNF_transformation,[status(thm)],[f1164]) ).
fof(f1166,plain,
( op2(e20,e21) = e20
| sP113_prd
| ~ sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1165]) ).
fof(f1168,plain,
( sP115_prd
| sP113_prd
| ~ sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1165]) ).
fof(f1176,plain,
( ( ( op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| sP108_prd )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22
| ~ sP108_prd ) ),
inference(NNF_transformation,[status(thm)],[f1114]) ).
fof(f1177,plain,
( op2(e20,e22) != e20
| op2(e20,e20) != e22
| ~ sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1176]) ).
fof(f1178,plain,
( op2(e20,e20) = e22
| sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1176]) ).
fof(f1179,plain,
( op2(e20,e22) = e20
| sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1176]) ).
fof(f1180,plain,
( ( ( op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| sP109_prd )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22
| ~ sP109_prd ) ),
inference(NNF_transformation,[status(thm)],[f1115]) ).
fof(f1183,plain,
( op2(e21,e22) = e21
| sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1180]) ).
fof(f1184,definition,
( sP116_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP116_prd])],[]) ).
fof(f1185,definition,
( sP117_prd
<=> ( op1(e11,e10) != e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP117_prd])],[]) ).
fof(f1186,plain,
( sP110_prd
<=> ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP117_prd
& sP116_prd
& op1(e10,e10) = e10 ) ),
inference(formula_renaming,[status(thm)],[f1136,f1185,f1184]) ).
fof(f1187,plain,
( ( ( op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ~ sP117_prd
| ~ sP116_prd
| op1(e10,e10) != e10
| sP110_prd )
& ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP117_prd
& sP116_prd
& op1(e10,e10) = e10 )
| ~ sP110_prd ) ),
inference(NNF_transformation,[status(thm)],[f1186]) ).
fof(f1188,plain,
( op1(e10,e10) = e10
| ~ sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1187]) ).
fof(f1189,plain,
( sP116_prd
| ~ sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1187]) ).
fof(f1197,plain,
( ( ( op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| sP111_prd )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP111_prd ) ),
inference(NNF_transformation,[status(thm)],[f1138]) ).
fof(f1199,plain,
( op1(e10,e10) = e11
| sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1197]) ).
fof(f1200,plain,
( op1(e10,e11) = e10
| sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1197]) ).
fof(f1201,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP112_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP112_prd ) ),
inference(NNF_transformation,[status(thm)],[f1139]) ).
fof(f1202,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP112_prd ),
inference(cnf_transformation,[status(thm)],[f1201]) ).
fof(f1203,plain,
( op1(e11,e11) = e11
| sP112_prd ),
inference(cnf_transformation,[status(thm)],[f1201]) ).
fof(f1205,definition,
( sP118_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP118_prd])],[]) ).
fof(f1206,definition,
( sP119_prd
<=> ( op2(e21,e20) != e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP119_prd])],[]) ).
fof(f1207,plain,
( sP113_prd
<=> ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP119_prd
& sP118_prd
& op2(e20,e20) = e20 ) ),
inference(formula_renaming,[status(thm)],[f1160,f1206,f1205]) ).
fof(f1208,plain,
( ( ( op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ~ sP119_prd
| ~ sP118_prd
| op2(e20,e20) != e20
| sP113_prd )
& ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP119_prd
& sP118_prd
& op2(e20,e20) = e20 )
| ~ sP113_prd ) ),
inference(NNF_transformation,[status(thm)],[f1207]) ).
fof(f1209,plain,
( op2(e20,e20) = e20
| ~ sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1208]) ).
fof(f1210,plain,
( sP118_prd
| ~ sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1208]) ).
fof(f1218,plain,
( ( ( op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| sP114_prd )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ sP114_prd ) ),
inference(NNF_transformation,[status(thm)],[f1162]) ).
fof(f1220,plain,
( op2(e20,e20) = e21
| sP114_prd ),
inference(cnf_transformation,[status(thm)],[f1218]) ).
fof(f1221,plain,
( op2(e20,e21) = e20
| sP114_prd ),
inference(cnf_transformation,[status(thm)],[f1218]) ).
fof(f1222,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP115_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP115_prd ) ),
inference(NNF_transformation,[status(thm)],[f1163]) ).
fof(f1223,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP115_prd ),
inference(cnf_transformation,[status(thm)],[f1222]) ).
fof(f1226,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP116_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP116_prd ) ),
inference(NNF_transformation,[status(thm)],[f1184]) ).
fof(f1227,plain,
( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP116_prd ),
inference(cnf_transformation,[status(thm)],[f1226]) ).
fof(f1228,plain,
( op1(e10,e10) = e10
| sP116_prd ),
inference(cnf_transformation,[status(thm)],[f1226]) ).
fof(f1230,plain,
( ( ( op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| sP117_prd )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10
| ~ sP117_prd ) ),
inference(NNF_transformation,[status(thm)],[f1185]) ).
fof(f1233,plain,
( op1(e11,e10) = e11
| sP117_prd ),
inference(cnf_transformation,[status(thm)],[f1230]) ).
fof(f1234,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP118_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP118_prd ) ),
inference(NNF_transformation,[status(thm)],[f1205]) ).
fof(f1235,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP118_prd ),
inference(cnf_transformation,[status(thm)],[f1234]) ).
fof(f1236,plain,
( op2(e20,e20) = e20
| sP118_prd ),
inference(cnf_transformation,[status(thm)],[f1234]) ).
fof(f1238,plain,
( ( ( op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| sP119_prd )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20
| ~ sP119_prd ) ),
inference(NNF_transformation,[status(thm)],[f1206]) ).
fof(f1241,plain,
( op2(e21,e20) = e21
| sP119_prd ),
inference(cnf_transformation,[status(thm)],[f1238]) ).
fof(f1242,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1243,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1245,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1248,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1249,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1251,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1252,plain,
( ~ sQ3_spl
| op1(e10,e10) = e13 ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1254,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f1242,f1245,f1248,f1251]) ).
fof(f1255,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1256,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f1255]) ).
fof(f1258,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1259,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1261,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1264,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1265,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1267,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21,f1255,f1258,f1261,f1264]) ).
fof(f1268,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1269,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1271,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1272,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1275,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1277,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1278,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f1277]) ).
fof(f1280,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f22,f1268,f1271,f1274,f1277]) ).
fof(f1281,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1284,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1285,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f1284]) ).
fof(f1287,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1288,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f1287]) ).
fof(f1290,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1291,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f1290]) ).
fof(f1293,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f23,f1281,f1284,f1287,f1290]) ).
fof(f1294,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1295,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f1294]) ).
fof(f1297,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1298,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f1297]) ).
fof(f1300,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1301,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f1300]) ).
fof(f1303,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1304,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f1303]) ).
fof(f1306,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f24,f1294,f1297,f1300,f1303]) ).
fof(f1307,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
( ~ sQ20_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f1307]) ).
fof(f1310,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f1310]) ).
fof(f1313,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1316,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1317,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f1316]) ).
fof(f1319,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f25,f1307,f1310,f1313,f1316]) ).
fof(f1320,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1321,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f1320]) ).
fof(f1323,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1324,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f1323]) ).
fof(f1326,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1327,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f1326]) ).
fof(f1329,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1330,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f1329]) ).
fof(f1332,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f26,f1320,f1323,f1326,f1329]) ).
fof(f1333,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f1333]) ).
fof(f1336,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f1336]) ).
fof(f1339,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1340,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f1339]) ).
fof(f1342,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f1342]) ).
fof(f1345,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f27,f1333,f1336,f1339,f1342]) ).
fof(f1346,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1347,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1349,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1352,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1353,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1356,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f1355]) ).
fof(f1358,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f28,f1346,f1349,f1352,f1355]) ).
fof(f1359,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1360,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f1359]) ).
fof(f1362,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1363,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f1362]) ).
fof(f1365,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1366,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f1365]) ).
fof(f1368,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1369,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f1368]) ).
fof(f1372,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1373,plain,
( ~ sQ40_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f1372]) ).
fof(f1375,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1376,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f1375]) ).
fof(f1378,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1379,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1381,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1384,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f30,f1372,f1375,f1378,f1381]) ).
fof(f1385,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1388,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1389,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f1388]) ).
fof(f1391,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1392,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f1391]) ).
fof(f1394,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1398,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1399,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f1398]) ).
fof(f1401,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1402,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f1401]) ).
fof(f1404,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1405,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f1404]) ).
fof(f1407,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1408,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f1407]) ).
fof(f1410,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f32,f1398,f1401,f1404,f1407]) ).
fof(f1411,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1412,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f1411]) ).
fof(f1414,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1415,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f1414]) ).
fof(f1417,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1418,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f1417]) ).
fof(f1420,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1421,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1423,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f33,f1411,f1414,f1417,f1420]) ).
fof(f1424,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1425,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1427,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1428,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f1427]) ).
fof(f1430,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1431,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1433,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1434,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1437,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( ~ sQ60_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f1437]) ).
fof(f1440,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1441,plain,
( ~ sQ61_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f1440]) ).
fof(f1443,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1444,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f1443]) ).
fof(f1446,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f1446]) ).
fof(f1449,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f35,f1437,f1440,f1443,f1446]) ).
fof(f1450,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f1242,f1255,f1268,f1281]) ).
fof(f1451,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f1242,f1294,f1346,f1398]) ).
fof(f1452,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f38,f1245,f1258,f1271,f1284]) ).
fof(f1454,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f1248,f1261,f1274,f1287]) ).
fof(f1455,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f1248,f1300,f1352,f1404]) ).
fof(f1456,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f42,f1251,f1264,f1277,f1290]) ).
fof(f1457,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f43,f1251,f1303,f1355,f1407]) ).
fof(f1458,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f44,f1294,f1307,f1320,f1333]) ).
fof(f1459,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f45,f1255,f1307,f1359,f1411]) ).
fof(f1460,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f1297,f1310,f1323,f1336]) ).
fof(f1461,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f1258,f1310,f1362,f1414]) ).
fof(f1462,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f48,f1300,f1313,f1326,f1339]) ).
fof(f1464,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f50,f1303,f1316,f1329,f1342]) ).
fof(f1466,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f52,f1346,f1359,f1372,f1385]) ).
fof(f1467,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f1268,f1320,f1372,f1424]) ).
fof(f1469,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f55,f1271,f1323,f1375,f1427]) ).
fof(f1470,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f56,f1352,f1365,f1378,f1391]) ).
fof(f1471,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f1274,f1326,f1378,f1430]) ).
fof(f1474,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f60,f1398,f1411,f1424,f1437]) ).
fof(f1476,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f62,f1401,f1414,f1427,f1440]) ).
fof(f1477,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f63,f1284,f1336,f1388,f1440]) ).
fof(f1478,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f64,f1404,f1417,f1430,f1443]) ).
fof(f1479,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f65,f1287,f1339,f1391,f1443]) ).
fof(f1480,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f66,f1407,f1420,f1433,f1446]) ).
fof(f1481,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f1290,f1342,f1394,f1446]) ).
fof(f1482,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1483,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f1482]) ).
fof(f1484,plain,
( sQ64_spl
| op2(e20,e20) != e20 ),
inference(component_clause,[status(thm)],[f1482]) ).
fof(f1485,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1488,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1489,plain,
( ~ sQ66_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f1488]) ).
fof(f1490,plain,
( sQ66_spl
| op2(e20,e20) != e22 ),
inference(component_clause,[status(thm)],[f1488]) ).
fof(f1491,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1492,plain,
( ~ sQ67_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f1491]) ).
fof(f1494,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f68,f1482,f1485,f1488,f1491]) ).
fof(f1495,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1496,plain,
( ~ sQ68_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f1495]) ).
fof(f1498,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1499,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f1498]) ).
fof(f1501,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1502,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f1501]) ).
fof(f1504,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1507,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f69,f1495,f1498,f1501,f1504]) ).
fof(f1508,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1509,plain,
( ~ sQ72_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1511,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1512,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f1511]) ).
fof(f1514,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f1514]) ).
fof(f1517,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1518,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f1517]) ).
fof(f1520,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f70,f1508,f1511,f1514,f1517]) ).
fof(f1521,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1522,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f1521]) ).
fof(f1524,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1525,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f1524]) ).
fof(f1527,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1528,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f1527]) ).
fof(f1530,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1531,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f1530]) ).
fof(f1533,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f71,f1521,f1524,f1527,f1530]) ).
fof(f1534,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1535,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f1534]) ).
fof(f1536,plain,
( sQ80_spl
| op2(e21,e20) != e20 ),
inference(component_clause,[status(thm)],[f1534]) ).
fof(f1537,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1538,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f1537]) ).
fof(f1540,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1541,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f1540]) ).
fof(f1543,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1544,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f1543]) ).
fof(f1546,plain,
( sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f72,f1534,f1537,f1540,f1543]) ).
fof(f1547,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1548,plain,
( ~ sQ84_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f1547]) ).
fof(f1550,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1551,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f1550]) ).
fof(f1553,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1554,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f1553]) ).
fof(f1556,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1557,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f1556]) ).
fof(f1558,plain,
( sQ87_spl
| op2(e21,e21) != e23 ),
inference(component_clause,[status(thm)],[f1556]) ).
fof(f1559,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f73,f1547,f1550,f1553,f1556]) ).
fof(f1560,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1561,plain,
( ~ sQ88_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f1560]) ).
fof(f1563,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1564,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f1563]) ).
fof(f1566,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1567,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f1566]) ).
fof(f1569,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1572,plain,
( sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f74,f1560,f1563,f1566,f1569]) ).
fof(f1573,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f1573]) ).
fof(f1576,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1577,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f1576]) ).
fof(f1579,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1580,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f1579]) ).
fof(f1582,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1583,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f1582]) ).
fof(f1586,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1587,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f1586]) ).
fof(f1589,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1592,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1593,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f1592]) ).
fof(f1595,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1596,plain,
( ~ sQ99_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f1595]) ).
fof(f1598,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f76,f1586,f1589,f1592,f1595]) ).
fof(f1599,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1600,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f1599]) ).
fof(f1602,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1605,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1606,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f1605]) ).
fof(f1608,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1609,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f1608]) ).
fof(f1612,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1613,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f1612]) ).
fof(f1615,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1616,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f1615]) ).
fof(f1618,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1619,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f1618]) ).
fof(f1621,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1624,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f78,f1612,f1615,f1618,f1621]) ).
fof(f1625,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1628,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1629,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f1628]) ).
fof(f1631,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1632,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f1631]) ).
fof(f1634,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1635,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f1634]) ).
fof(f1638,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1639,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f1638]) ).
fof(f1641,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1642,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f1641]) ).
fof(f1644,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1645,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f1644]) ).
fof(f1647,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1648,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f1647]) ).
fof(f1651,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1652,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f1651]) ).
fof(f1654,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1657,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1658,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f1657]) ).
fof(f1660,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1661,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f1660]) ).
fof(f1663,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f81,f1651,f1654,f1657,f1660]) ).
fof(f1664,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1667,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1668,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f1667]) ).
fof(f1670,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1671,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f1670]) ).
fof(f1673,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1674,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f1673]) ).
fof(f1676,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f82,f1664,f1667,f1670,f1673]) ).
fof(f1677,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1679,plain,
( sQ124_spl
| op2(e23,e23) != e20 ),
inference(component_clause,[status(thm)],[f1677]) ).
fof(f1680,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1681,plain,
( ~ sQ125_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f1680]) ).
fof(f1683,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1684,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1686,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1687,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f1686]) ).
fof(f1690,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f1482,f1495,f1508,f1521]) ).
fof(f1691,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f1482,f1534,f1586,f1638]) ).
fof(f1694,plain,
( sQ78_spl
| sQ74_spl
| sQ70_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f88,f1488,f1501,f1514,f1527]) ).
fof(f1695,plain,
( sQ114_spl
| sQ98_spl
| sQ82_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f89,f1488,f1540,f1592,f1644]) ).
fof(f1697,plain,
( sQ115_spl
| sQ99_spl
| sQ83_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f91,f1491,f1543,f1595,f1647]) ).
fof(f1698,plain,
( sQ92_spl
| sQ88_spl
| sQ84_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f92,f1534,f1547,f1560,f1573]) ).
fof(f1699,plain,
( sQ116_spl
| sQ100_spl
| sQ84_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f93,f1495,f1547,f1599,f1651]) ).
fof(f1700,plain,
( sQ93_spl
| sQ89_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f94,f1537,f1550,f1563,f1576]) ).
fof(f1705,plain,
( sQ119_spl
| sQ103_spl
| sQ87_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f99,f1504,f1556,f1608,f1660]) ).
fof(f1706,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f1586,f1599,f1612,f1625]) ).
fof(f1709,plain,
( sQ121_spl
| sQ105_spl
| sQ89_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f103,f1511,f1563,f1615,f1667]) ).
fof(f1710,plain,
( sQ110_spl
| sQ106_spl
| sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f104,f1592,f1605,f1618,f1631]) ).
fof(f1711,plain,
( sQ122_spl
| sQ106_spl
| sQ90_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f105,f1514,f1566,f1618,f1670]) ).
fof(f1717,plain,
( sQ125_spl
| sQ109_spl
| sQ93_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f111,f1524,f1576,f1628,f1680]) ).
fof(f1718,plain,
( sQ126_spl
| sQ122_spl
| sQ118_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f112,f1644,f1657,f1670,f1683]) ).
fof(f1719,plain,
( sQ126_spl
| sQ110_spl
| sQ94_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f113,f1527,f1579,f1631,f1683]) ).
fof(f1720,plain,
( sQ127_spl
| sQ123_spl
| sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f114,f1647,f1660,f1673,f1686]) ).
fof(f1721,plain,
( sQ127_spl
| sQ111_spl
| sQ95_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f115,f1530,f1582,f1634,f1686]) ).
fof(f1722,definition,
( sQ128_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1725,plain,
( sQ63_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f243,f1722,f1446]) ).
fof(f1729,plain,
( ~ sQ63_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f247,f1722,f1446]) ).
fof(f1730,definition,
( sQ129_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1736,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f251,f1730,f1381,f1391]) ).
fof(f1738,definition,
( sQ130_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1741,plain,
( sQ127_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f256,f1738,f1686]) ).
fof(f1745,plain,
( ~ sQ127_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f260,f1738,f1686]) ).
fof(f1746,definition,
( sQ131_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1752,plain,
( sQ110_spl
| ~ sQ107_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f264,f1746,f1621,f1631]) ).
fof(f1754,definition,
( sQ132_spl
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1756,plain,
( sQ132_spl
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f1754]) ).
fof(f1757,definition,
( sQ133_spl
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1759,plain,
( sQ133_spl
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(component_clause,[status(thm)],[f1757]) ).
fof(f1760,definition,
( sQ134_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1762,plain,
( sQ134_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f1760]) ).
fof(f1763,definition,
( sQ135_spl
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1765,plain,
( sQ135_spl
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f1763]) ).
fof(f1766,definition,
( sQ136_spl
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1768,plain,
( sQ136_spl
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f1766]) ).
fof(f1769,definition,
( sQ137_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1771,plain,
( sQ137_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f1769]) ).
fof(f1772,definition,
( sQ138_spl
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1774,plain,
( sQ138_spl
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12)) ),
inference(component_clause,[status(thm)],[f1772]) ).
fof(f1775,definition,
( sQ139_spl
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1777,plain,
( sQ139_spl
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13)) ),
inference(component_clause,[status(thm)],[f1775]) ).
fof(f1778,definition,
( sQ140_spl
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1779,plain,
( ~ sQ140_spl
| h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f1778]) ).
fof(f1780,plain,
( sQ140_spl
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f1778]) ).
fof(f1781,definition,
( sQ141_spl
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1783,plain,
( sQ141_spl
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11)) ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1784,definition,
( sQ142_spl
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1786,plain,
( sQ142_spl
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f1784]) ).
fof(f1787,definition,
( sQ143_spl
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1788,plain,
( ~ sQ143_spl
| h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f1787]) ).
fof(f1789,plain,
( sQ143_spl
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f1787]) ).
fof(f1790,definition,
( sQ144_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1792,plain,
( sQ144_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f1790]) ).
fof(f1793,definition,
( sQ145_spl
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1795,plain,
( sQ145_spl
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f1793]) ).
fof(f1796,definition,
( sQ146_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1798,plain,
( sQ146_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f1796]) ).
fof(f1799,definition,
( sQ147_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1801,plain,
( sQ147_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f1799]) ).
fof(f1802,definition,
( sQ148_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1805,definition,
( sQ149_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1808,definition,
( sQ150_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1815,definition,
( sQ152_spl
<=> h1(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1816,plain,
( ~ sQ152_spl
| h1(e11) = e23 ),
inference(component_clause,[status(thm)],[f1815]) ).
fof(f1817,plain,
( sQ152_spl
| h1(e11) != e23 ),
inference(component_clause,[status(thm)],[f1815]) ).
fof(f1823,definition,
( sQ154_spl
<=> h1(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1824,plain,
( ~ sQ154_spl
| h1(e13) = e23 ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1825,plain,
( sQ154_spl
| h1(e13) != e23 ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1827,definition,
( sQ155_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1829,plain,
( sQ155_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f1827]) ).
fof(f1830,definition,
( sQ156_spl
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1832,plain,
( sQ156_spl
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f1830]) ).
fof(f1833,definition,
( sQ157_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1835,plain,
( sQ157_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f1833]) ).
fof(f1836,definition,
( sQ158_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1838,plain,
( sQ158_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1836]) ).
fof(f1839,definition,
( sQ159_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1841,plain,
( sQ159_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f1839]) ).
fof(f1842,definition,
( sQ160_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1844,plain,
( sQ160_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f1842]) ).
fof(f1845,definition,
( sQ161_spl
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1847,plain,
( sQ161_spl
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f1845]) ).
fof(f1848,definition,
( sQ162_spl
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1850,plain,
( sQ162_spl
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f1848]) ).
fof(f1851,definition,
( sQ163_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1852,plain,
( ~ sQ163_spl
| h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1851]) ).
fof(f1853,plain,
( sQ163_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1851]) ).
fof(f1854,definition,
( sQ164_spl
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1856,plain,
( sQ164_spl
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(component_clause,[status(thm)],[f1854]) ).
fof(f1857,definition,
( sQ165_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1858,plain,
( ~ sQ165_spl
| h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1857]) ).
fof(f1859,plain,
( sQ165_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1857]) ).
fof(f1860,definition,
( sQ166_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1862,plain,
( sQ166_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1860]) ).
fof(f1863,definition,
( sQ167_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1865,plain,
( sQ167_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f1863]) ).
fof(f1866,definition,
( sQ168_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1868,plain,
( sQ168_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1866]) ).
fof(f1869,definition,
( sQ169_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1871,plain,
( sQ169_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f1869]) ).
fof(f1872,definition,
( sQ170_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1874,plain,
( sQ170_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1872]) ).
fof(f1875,definition,
( sQ171_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1878,definition,
( sQ172_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1881,definition,
( sQ173_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1888,definition,
( sQ175_spl
<=> h2(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1889,plain,
( ~ sQ175_spl
| h2(e11) = e23 ),
inference(component_clause,[status(thm)],[f1888]) ).
fof(f1890,plain,
( sQ175_spl
| h2(e11) != e23 ),
inference(component_clause,[status(thm)],[f1888]) ).
fof(f1896,definition,
( sQ177_spl
<=> h2(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1897,plain,
( ~ sQ177_spl
| h2(e13) = e23 ),
inference(component_clause,[status(thm)],[f1896]) ).
fof(f1898,plain,
( sQ177_spl
| h2(e13) != e23 ),
inference(component_clause,[status(thm)],[f1896]) ).
fof(f1900,definition,
( sQ178_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1902,plain,
( sQ178_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1900]) ).
fof(f1903,definition,
( sQ179_spl
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1905,plain,
( sQ179_spl
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11)) ),
inference(component_clause,[status(thm)],[f1903]) ).
fof(f1906,definition,
( sQ180_spl
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1908,plain,
( sQ180_spl
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ),
inference(component_clause,[status(thm)],[f1906]) ).
fof(f1909,definition,
( sQ181_spl
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1910,plain,
( ~ sQ181_spl
| h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1909]) ).
fof(f1911,plain,
( sQ181_spl
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1909]) ).
fof(f1912,definition,
( sQ182_spl
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1913,plain,
( ~ sQ182_spl
| h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f1912]) ).
fof(f1914,plain,
( sQ182_spl
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f1912]) ).
fof(f1915,definition,
( sQ183_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1917,plain,
( sQ183_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f1915]) ).
fof(f1918,definition,
( sQ184_spl
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1920,plain,
( sQ184_spl
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f1918]) ).
fof(f1921,definition,
( sQ185_spl
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1923,plain,
( sQ185_spl
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(component_clause,[status(thm)],[f1921]) ).
fof(f1924,definition,
( sQ186_spl
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1926,plain,
( sQ186_spl
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) ),
inference(component_clause,[status(thm)],[f1924]) ).
fof(f1927,definition,
( sQ187_spl
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1929,plain,
( sQ187_spl
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11)) ),
inference(component_clause,[status(thm)],[f1927]) ).
fof(f1930,definition,
( sQ188_spl
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1932,plain,
( sQ188_spl
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f1930]) ).
fof(f1933,definition,
( sQ189_spl
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1935,plain,
( sQ189_spl
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(component_clause,[status(thm)],[f1933]) ).
fof(f1936,definition,
( sQ190_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1938,plain,
( sQ190_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f1936]) ).
fof(f1939,definition,
( sQ191_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1940,plain,
( ~ sQ191_spl
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1939]) ).
fof(f1941,plain,
( sQ191_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1939]) ).
fof(f1942,definition,
( sQ192_spl
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1944,plain,
( sQ192_spl
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f1942]) ).
fof(f1945,definition,
( sQ193_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1946,plain,
( ~ sQ193_spl
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1945]) ).
fof(f1947,plain,
( sQ193_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1945]) ).
fof(f1948,definition,
( sQ194_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1951,definition,
( sQ195_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1954,definition,
( sQ196_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1969,definition,
( sQ200_spl
<=> h3(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1971,plain,
( sQ200_spl
| h3(e13) != e23 ),
inference(component_clause,[status(thm)],[f1969]) ).
fof(f1972,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)],[f313,f1900,f1903,f1906,f1909,f1912,f1915,f1918,f1921,f1924,f1927,f1930,f1933,f1936,f1939,f1942,f1945,f1948,f1951,f1954,f1969]) ).
fof(f1973,definition,
( sQ201_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1975,plain,
( sQ201_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1973]) ).
fof(f1976,definition,
( sQ202_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1978,plain,
( sQ202_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f1976]) ).
fof(f1979,definition,
( sQ203_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1981,plain,
( sQ203_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1979]) ).
fof(f1982,definition,
( sQ204_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1984,plain,
( sQ204_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f1982]) ).
fof(f1985,definition,
( sQ205_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1987,plain,
( sQ205_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f1985]) ).
fof(f1988,definition,
( sQ206_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1990,plain,
( sQ206_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f1988]) ).
fof(f1991,definition,
( sQ207_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1993,plain,
( sQ207_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1991]) ).
fof(f1994,definition,
( sQ208_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1996,plain,
( sQ208_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f1994]) ).
fof(f1997,definition,
( sQ209_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1998,plain,
( ~ sQ209_spl
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1997]) ).
fof(f1999,plain,
( sQ209_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1997]) ).
fof(f2000,definition,
( sQ210_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2002,plain,
( sQ210_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f2000]) ).
fof(f2003,definition,
( sQ211_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2004,plain,
( ~ sQ211_spl
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f2003]) ).
fof(f2005,plain,
( sQ211_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f2003]) ).
fof(f2006,definition,
( sQ212_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2007,plain,
( ~ sQ212_spl
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f2006]) ).
fof(f2008,plain,
( sQ212_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f2006]) ).
fof(f2009,definition,
( sQ213_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2011,plain,
( sQ213_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f2009]) ).
fof(f2012,definition,
( sQ214_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2014,plain,
( sQ214_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f2012]) ).
fof(f2015,definition,
( sQ215_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2017,plain,
( sQ215_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f2015]) ).
fof(f2018,definition,
( sQ216_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2020,plain,
( sQ216_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f2018]) ).
fof(f2021,definition,
( sQ217_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2024,definition,
( sQ218_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2027,definition,
( sQ219_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2038,definition,
( sQ222_spl
<=> h4(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2040,plain,
( sQ222_spl
| h4(e12) != e23 ),
inference(component_clause,[status(thm)],[f2038]) ).
fof(f2041,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)],[f316,f1973,f1976,f1979,f1982,f1985,f1988,f1991,f1994,f1997,f2000,f2003,f2006,f2009,f2012,f2015,f2018,f2021,f2024,f2027,f2038]) ).
fof(f2042,definition,
( sQ223_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2043,plain,
( ~ sQ223_spl
| h4(e13) = e23 ),
inference(component_clause,[status(thm)],[f2042]) ).
fof(f2044,plain,
( sQ223_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f2042]) ).
fof(f2046,definition,
( sQ224_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2049,plain,
( sQ59_spl
| sQ224_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f324,f1722,f2046,f1433]) ).
fof(f2050,definition,
( sQ225_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2054,definition,
( sQ226_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2059,plain,
( ~ sQ59_spl
| ~ sQ62_spl
| sQ224_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f328,f1722,f2046,f1443,f1433]) ).
fof(f2060,plain,
( ~ sQ224_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f329,f1722,f2046]) ).
fof(f2065,definition,
( sQ227_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2068,plain,
( sQ42_spl
| sQ227_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f340,f1730,f2065,f1378]) ).
fof(f2069,definition,
( sQ228_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2073,definition,
( sQ229_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2084,definition,
( sQ230_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2087,plain,
( sQ123_spl
| sQ230_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f356,f1738,f2084,f1673]) ).
fof(f2088,definition,
( sQ231_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2092,definition,
( sQ232_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2103,definition,
( sQ233_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2106,plain,
( sQ106_spl
| sQ233_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f372,f1746,f2103,f1618]) ).
fof(f2107,definition,
( sQ234_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2111,definition,
( sQ235_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2134,definition,
( sQ239_spl
<=> h1(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2135,plain,
( ~ sQ239_spl
| h1(e13) = e20 ),
inference(component_clause,[status(thm)],[f2134]) ).
fof(f2136,plain,
( sQ239_spl
| h1(e13) != e20 ),
inference(component_clause,[status(thm)],[f2134]) ).
fof(f2137,plain,
( ~ sQ239_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f386,f1802,f2134]) ).
fof(f2139,definition,
( sQ240_spl
<=> h1(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2140,plain,
( ~ sQ240_spl
| h1(e10) = e21 ),
inference(component_clause,[status(thm)],[f2139]) ).
fof(f2143,definition,
( sQ241_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2144,plain,
( ~ sQ241_spl
| h1(e11) = e21 ),
inference(component_clause,[status(thm)],[f2143]) ).
fof(f2147,definition,
( sQ242_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2148,plain,
( ~ sQ242_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f2147]) ).
fof(f2151,definition,
( sQ243_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2152,plain,
( ~ sQ243_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f2151]) ).
fof(f2154,plain,
( ~ sQ243_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f392,f1805,f2151]) ).
fof(f2155,plain,
( sQ243_spl
| sQ242_spl
| sQ241_spl
| sQ240_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f393,f1805,f2139,f2143,f2147,f2151]) ).
fof(f2156,definition,
( sQ244_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2160,definition,
( sQ245_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2161,plain,
( ~ sQ245_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f2160]) ).
fof(f2162,plain,
( sQ245_spl
| h1(e11) != e22 ),
inference(component_clause,[status(thm)],[f2160]) ).
fof(f2164,definition,
( sQ246_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2165,plain,
( ~ sQ246_spl
| h1(e12) = e22 ),
inference(component_clause,[status(thm)],[f2164]) ).
fof(f2168,definition,
( sQ247_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2169,plain,
( ~ sQ247_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f2168]) ).
fof(f2171,plain,
( ~ sQ247_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f398,f1808,f2168]) ).
fof(f2172,plain,
( sQ247_spl
| sQ246_spl
| sQ245_spl
| sQ244_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f399,f1808,f2156,f2160,f2164,f2168]) ).
fof(f2173,definition,
( sQ248_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2174,plain,
( ~ sQ248_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f2173]) ).
fof(f2177,definition,
( sQ249_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2178,plain,
( ~ sQ249_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f2177]) ).
fof(f2179,plain,
( sQ249_spl
| h2(e11) != e20 ),
inference(component_clause,[status(thm)],[f2177]) ).
fof(f2181,definition,
( sQ250_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2182,plain,
( ~ sQ250_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f2181]) ).
fof(f2185,definition,
( sQ251_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2186,plain,
( ~ sQ251_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f2185]) ).
fof(f2189,plain,
( sQ251_spl
| sQ250_spl
| sQ249_spl
| sQ248_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f405,f1875,f2173,f2177,f2181,f2185]) ).
fof(f2190,definition,
( sQ252_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2191,plain,
( ~ sQ252_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f2190]) ).
fof(f2192,plain,
( sQ252_spl
| h2(e10) != e21 ),
inference(component_clause,[status(thm)],[f2190]) ).
fof(f2194,definition,
( sQ253_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2196,plain,
( sQ253_spl
| h2(e11) != e21 ),
inference(component_clause,[status(thm)],[f2194]) ).
fof(f2198,definition,
( sQ254_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2200,plain,
( sQ254_spl
| h2(e12) != e21 ),
inference(component_clause,[status(thm)],[f2198]) ).
fof(f2201,plain,
( ~ sQ254_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f409,f1878,f2198]) ).
fof(f2202,definition,
( sQ255_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2203,plain,
( ~ sQ255_spl
| h2(e13) = e21 ),
inference(component_clause,[status(thm)],[f2202]) ).
fof(f2204,plain,
( sQ255_spl
| h2(e13) != e21 ),
inference(component_clause,[status(thm)],[f2202]) ).
fof(f2207,definition,
( sQ256_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2208,plain,
( ~ sQ256_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f2207]) ).
fof(f2211,definition,
( sQ257_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2212,plain,
( ~ sQ257_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f2211]) ).
fof(f2215,definition,
( sQ258_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2216,plain,
( ~ sQ258_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f2215]) ).
fof(f2219,definition,
( sQ259_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2220,plain,
( ~ sQ259_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f2219]) ).
fof(f2223,plain,
( sQ259_spl
| sQ258_spl
| sQ257_spl
| sQ256_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f417,f1881,f2207,f2211,f2215,f2219]) ).
fof(f2224,definition,
( sQ260_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2226,plain,
( sQ260_spl
| h3(e10) != e20 ),
inference(component_clause,[status(thm)],[f2224]) ).
fof(f2227,plain,
( ~ sQ260_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f419,f1948,f2224]) ).
fof(f2228,definition,
( sQ261_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2229,plain,
( ~ sQ261_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f2228]) ).
fof(f2232,definition,
( sQ262_spl
<=> h3(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2233,plain,
( ~ sQ262_spl
| h3(e12) = e20 ),
inference(component_clause,[status(thm)],[f2232]) ).
fof(f2236,definition,
( sQ263_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2237,plain,
( ~ sQ263_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f2236]) ).
fof(f2241,definition,
( sQ264_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2242,plain,
( ~ sQ264_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f2241]) ).
fof(f2245,definition,
( sQ265_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2247,plain,
( sQ265_spl
| h3(e11) != e21 ),
inference(component_clause,[status(thm)],[f2245]) ).
fof(f2248,plain,
( ~ sQ265_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f426,f1951,f2245]) ).
fof(f2249,definition,
( sQ266_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2250,plain,
( ~ sQ266_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f2249]) ).
fof(f2253,definition,
( sQ267_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2254,plain,
( ~ sQ267_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f2253]) ).
fof(f2258,definition,
( sQ268_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2259,plain,
( ~ sQ268_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f2258]) ).
fof(f2262,definition,
( sQ269_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2263,plain,
( ~ sQ269_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f2262]) ).
fof(f2266,definition,
( sQ270_spl
<=> h3(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2268,plain,
( sQ270_spl
| h3(e12) != e22 ),
inference(component_clause,[status(thm)],[f2266]) ).
fof(f2269,plain,
( ~ sQ270_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f433,f1954,f2266]) ).
fof(f2270,definition,
( sQ271_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2271,plain,
( ~ sQ271_spl
| h3(e13) = e22 ),
inference(component_clause,[status(thm)],[f2270]) ).
fof(f2279,definition,
( sQ273_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2280,plain,
( ~ sQ273_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f2279]) ).
fof(f2281,plain,
( sQ273_spl
| h4(e11) != e20 ),
inference(component_clause,[status(thm)],[f2279]) ).
fof(f2282,plain,
( ~ sQ273_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f438,f2021,f2279]) ).
fof(f2283,definition,
( sQ274_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2284,plain,
( ~ sQ274_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f2283]) ).
fof(f2287,definition,
( sQ275_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2292,definition,
( sQ276_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2293,plain,
( ~ sQ276_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f2292]) ).
fof(f2294,plain,
( sQ276_spl
| h4(e10) != e21 ),
inference(component_clause,[status(thm)],[f2292]) ).
fof(f2295,plain,
( ~ sQ276_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f443,f2024,f2292]) ).
fof(f2300,definition,
( sQ278_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2301,plain,
( ~ sQ278_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f2300]) ).
fof(f2304,definition,
( sQ279_spl
<=> h4(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2305,plain,
( ~ sQ279_spl
| h4(e13) = e21 ),
inference(component_clause,[status(thm)],[f2304]) ).
fof(f2306,plain,
( sQ279_spl
| h4(e13) != e21 ),
inference(component_clause,[status(thm)],[f2304]) ).
fof(f2309,definition,
( sQ280_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2310,plain,
( ~ sQ280_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f2309]) ).
fof(f2313,definition,
( sQ281_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2314,plain,
( ~ sQ281_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f2313]) ).
fof(f2317,definition,
( sQ282_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2318,plain,
( ~ sQ282_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f2317]) ).
fof(f2321,definition,
( sQ283_spl
<=> h4(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2322,plain,
( ~ sQ283_spl
| h4(e13) = e22 ),
inference(component_clause,[status(thm)],[f2321]) ).
fof(f2324,plain,
( ~ sQ283_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f452,f2027,f2321]) ).
fof(f2326,definition,
( sQ284_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2329,plain,
( sQ55_spl
| sQ284_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f460,f2046,f2326,f1420]) ).
fof(f2330,definition,
( sQ285_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2334,definition,
( sQ286_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2337,plain,
( sQ286_spl
| sQ284_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f462,f2046,f2326,f2334]) ).
fof(f2340,plain,
( ~ sQ284_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f465,f2046,f2326]) ).
fof(f2345,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f471,f2050,f1248,f1268]) ).
fof(f2346,plain,
( sQ2_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f472,f2050,f1248]) ).
fof(f2347,plain,
( sQ8_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f473,f2050,f1268]) ).
fof(f2349,plain,
( sQ22_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f476,f2054,f1313]) ).
fof(f2351,definition,
( sQ287_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2354,plain,
( sQ21_spl
| sQ287_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f484,f2065,f2351,f1310]) ).
fof(f2355,definition,
( sQ288_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2358,plain,
( sQ288_spl
| sQ287_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f485,f2065,f2351,f2355]) ).
fof(f2359,definition,
( sQ289_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2364,plain,
( sQ55_spl
| ~ sQ61_spl
| sQ287_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f488,f2065,f2351,f1440,f1420]) ).
fof(f2370,plain,
( sQ8_spl
| ~ sQ2_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f495,f2069,f1248,f1268]) ).
fof(f2371,plain,
( sQ2_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f496,f2069,f1248]) ).
fof(f2372,plain,
( ~ sQ8_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f497,f2069,f1268]) ).
fof(f2374,plain,
( sQ22_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f500,f2073,f1313]) ).
fof(f2376,definition,
( sQ290_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2379,plain,
( sQ119_spl
| sQ290_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f508,f2084,f2376,f1660]) ).
fof(f2380,definition,
( sQ291_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2384,definition,
( sQ292_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2387,plain,
( sQ292_spl
| sQ290_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f510,f2084,f2376,f2384]) ).
fof(f2395,plain,
( ~ sQ72_spl
| ~ sQ66_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f519,f2088,f1488,f1508]) ).
fof(f2396,plain,
( sQ66_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f520,f2088,f1488]) ).
fof(f2397,plain,
( sQ72_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f521,f2088,f1508]) ).
fof(f2400,plain,
( sQ89_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f525,f2092,f1563]) ).
fof(f2401,definition,
( sQ293_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2404,plain,
( sQ85_spl
| sQ293_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f532,f2103,f2401,f1550]) ).
fof(f2405,definition,
( sQ294_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2408,plain,
( sQ294_spl
| sQ293_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f533,f2103,f2401,f2405]) ).
fof(f2409,definition,
( sQ295_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2414,plain,
( sQ119_spl
| ~ sQ125_spl
| sQ293_spl
| ~ sQ233_spl ),
inference(split_clause,[status(thm)],[f536,f2103,f2401,f1680,f1660]) ).
fof(f2420,plain,
( sQ72_spl
| ~ sQ66_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f543,f2107,f1488,f1508]) ).
fof(f2421,plain,
( sQ66_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f544,f2107,f1488]) ).
fof(f2422,plain,
( ~ sQ72_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f545,f2107,f1508]) ).
fof(f2424,plain,
( sQ86_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f548,f2111,f1553]) ).
fof(f2426,definition,
( sQ296_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2429,plain,
( sQ51_spl
| sQ296_spl
| ~ sQ284_spl ),
inference(split_clause,[status(thm)],[f556,f2326,f2426,f1407]) ).
fof(f2430,definition,
( sQ297_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2433,plain,
( sQ297_spl
| sQ296_spl
| ~ sQ284_spl ),
inference(split_clause,[status(thm)],[f557,f2326,f2426,f2430]) ).
fof(f2434,definition,
( sQ298_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2441,plain,
( sQ60_spl
| sQ40_spl
| ~ sQ298_spl
| ~ sQ297_spl
| ~ sQ51_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f562,f2326,f1407,f2430,f2434,f1372,f1437]) ).
fof(f2447,plain,
( sQ4_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f569,f2330,f1255]) ).
fof(f2448,plain,
( ~ sQ21_spl
| ~ sQ286_spl ),
inference(split_clause,[status(thm)],[f571,f2334,f1310]) ).
fof(f2449,plain,
( sQ21_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f572,f2334,f1310]) ).
fof(f2451,plain,
( sQ0_spl
| ~ sQ287_spl ),
inference(split_clause,[status(thm)],[f578,f2351,f1242]) ).
fof(f2452,definition,
( sQ299_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f2456,definition,
( sQ300_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f2459,plain,
( sQ300_spl
| ~ sQ287_spl ),
inference(split_clause,[status(thm)],[f580,f2351,f2456]) ).
fof(f2466,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f588,f2355,f1245,f1255]) ).
fof(f2468,plain,
( ~ sQ4_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f590,f2355,f1255]) ).
fof(f2470,plain,
( sQ21_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f593,f2359,f1310]) ).
fof(f2471,plain,
( ~ sQ21_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f594,f2359,f1310]) ).
fof(f2472,definition,
( sQ301_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2475,plain,
( sQ115_spl
| sQ301_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f601,f2376,f2472,f1647]) ).
fof(f2476,definition,
( sQ302_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2479,plain,
( sQ302_spl
| sQ301_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f602,f2376,f2472,f2476]) ).
fof(f2480,definition,
( sQ303_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f2485,plain,
( ~ sQ115_spl
| ~ sQ124_spl
| sQ301_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f605,f2376,f2472,f1677,f1647]) ).
fof(f2493,plain,
( sQ68_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f614,f2380,f1495]) ).
fof(f2494,plain,
( ~ sQ85_spl
| ~ sQ292_spl ),
inference(split_clause,[status(thm)],[f616,f2384,f1550]) ).
fof(f2497,plain,
( sQ64_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f623,f2401,f1482]) ).
fof(f2498,definition,
( sQ304_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2502,definition,
( sQ305_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2505,plain,
( sQ305_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f625,f2401,f2502]) ).
fof(f2509,plain,
( ~ sQ115_spl
| sQ104_spl
| ~ sQ305_spl
| ~ sQ304_spl
| ~ sQ64_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f629,f2401,f1482,f2498,f2502,f1612,f1647]) ).
fof(f2512,plain,
( sQ68_spl
| ~ sQ65_spl
| ~ sQ294_spl ),
inference(split_clause,[status(thm)],[f633,f2405,f1485,f1495]) ).
fof(f2517,plain,
( ~ sQ85_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f639,f2409,f1550]) ).
fof(f2518,definition,
( sQ306_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f2521,plain,
( sQ46_spl
| sQ306_spl
| ~ sQ296_spl ),
inference(split_clause,[status(thm)],[f646,f2426,f2518,f1391]) ).
fof(f2522,definition,
( sQ307_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2526,definition,
( sQ308_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2537,plain,
( ~ sQ0_spl
| ~ sQ297_spl ),
inference(split_clause,[status(thm)],[f657,f2430,f1242]) ).
fof(f2538,plain,
( sQ0_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f658,f2430,f1242]) ).
fof(f2542,plain,
( sQ17_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f663,f2434,f1297]) ).
fof(f2544,plain,
( sQ0_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f666,f2452,f1242]) ).
fof(f2545,plain,
( ~ sQ0_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f667,f2452,f1242]) ).
fof(f2546,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f669,f2456,f1307,f1297]) ).
fof(f2547,plain,
( sQ20_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f670,f2456,f1307]) ).
fof(f2549,definition,
( sQ309_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2552,plain,
( sQ110_spl
| sQ309_spl
| ~ sQ301_spl ),
inference(split_clause,[status(thm)],[f678,f2472,f2549,f1631]) ).
fof(f2553,definition,
( sQ310_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f2557,definition,
( sQ311_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f2568,plain,
( ~ sQ64_spl
| ~ sQ302_spl ),
inference(split_clause,[status(thm)],[f689,f2476,f1482]) ).
fof(f2569,plain,
( sQ64_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f690,f2476,f1482]) ).
fof(f2573,plain,
( sQ81_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f695,f2480,f1537]) ).
fof(f2575,plain,
( sQ64_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f698,f2498,f1482]) ).
fof(f2576,plain,
( ~ sQ64_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f699,f2498,f1482]) ).
fof(f2577,plain,
( sQ81_spl
| ~ sQ84_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f701,f2502,f1547,f1537]) ).
fof(f2578,plain,
( sQ84_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f702,f2502,f1547]) ).
fof(f2580,definition,
( sQ312_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f2583,plain,
( sQ42_spl
| sQ312_spl
| ~ sQ306_spl ),
inference(split_clause,[status(thm)],[f710,f2518,f2580,f1378]) ).
fof(f2584,definition,
( sQ313_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f2588,definition,
( sQ314_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f2600,plain,
( sQ3_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f722,f2522,f1251]) ).
fof(f2601,plain,
( sQ12_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f723,f2522,f1281]) ).
fof(f2602,plain,
( ~ sQ29_spl
| ~ sQ23_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f725,f2526,f1316,f1336]) ).
fof(f2603,plain,
( sQ23_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f726,f2526,f1316]) ).
fof(f2604,plain,
( sQ29_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f727,f2526,f1336]) ).
fof(f2605,definition,
( sQ315_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f2608,plain,
( sQ106_spl
| sQ315_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f734,f2549,f2605,f1618]) ).
fof(f2609,definition,
( sQ316_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f2613,definition,
( sQ317_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f2625,plain,
( sQ67_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f746,f2553,f1491]) ).
fof(f2628,plain,
( sQ87_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f750,f2557,f1556]) ).
fof(f2629,plain,
( sQ93_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f751,f2557,f1576]) ).
fof(f2630,definition,
( sQ318_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f2634,definition,
( sQ319_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f2638,definition,
( sQ320_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f2641,plain,
( sQ320_spl
| sQ318_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f760,f2580,f2630,f2638]) ).
fof(f2649,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f769,f2584,f1248,f1268]) ).
fof(f2650,plain,
( sQ2_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f770,f2584,f1248]) ).
fof(f2651,plain,
( sQ8_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f771,f2584,f1268]) ).
fof(f2653,plain,
( sQ22_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f774,f2588,f1313]) ).
fof(f2655,definition,
( sQ321_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f2659,definition,
( sQ322_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f2663,definition,
( sQ323_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f2666,plain,
( sQ323_spl
| sQ321_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f784,f2605,f2655,f2663]) ).
fof(f2674,plain,
( ~ sQ72_spl
| ~ sQ66_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f793,f2609,f1488,f1508]) ).
fof(f2675,plain,
( sQ66_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f794,f2609,f1488]) ).
fof(f2676,plain,
( sQ72_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f795,f2609,f1508]) ).
fof(f2679,plain,
( sQ89_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f799,f2613,f1563]) ).
fof(f2680,definition,
( sQ324_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f2683,plain,
( sQ34_spl
| sQ324_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f806,f2630,f2680,f1352]) ).
fof(f2684,definition,
( sQ325_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f2688,definition,
( sQ326_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2700,plain,
( sQ1_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f818,f2634,f1245]) ).
fof(f2701,plain,
( sQ4_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f819,f2634,f1255]) ).
fof(f2702,plain,
( ~ sQ21_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f821,f2638,f1310]) ).
fof(f2705,definition,
( sQ327_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2708,plain,
( sQ98_spl
| sQ327_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f830,f2655,f2705,f1592]) ).
fof(f2709,definition,
( sQ328_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2713,definition,
( sQ329_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f2725,plain,
( sQ65_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f842,f2659,f1485]) ).
fof(f2726,plain,
( sQ68_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f843,f2659,f1495]) ).
fof(f2727,plain,
( ~ sQ85_spl
| ~ sQ323_spl ),
inference(split_clause,[status(thm)],[f845,f2663,f1550]) ).
fof(f2730,definition,
( sQ330_spl
<=> sP74_prd ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f2733,plain,
( sQ29_spl
| sQ330_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f854,f2680,f2730,f1336]) ).
fof(f2734,definition,
( sQ331_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f2738,definition,
( sQ332_spl
<=> sP76_prd ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f2741,plain,
( sQ332_spl
| sQ330_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f856,f2680,f2730,f2738]) ).
fof(f2743,plain,
( ~ sQ63_spl
| sQ330_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f858,f2680,f2730,f1446]) ).
fof(f2749,plain,
( ~ sQ0_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f865,f2684,f1242]) ).
fof(f2750,plain,
( sQ0_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f866,f2684,f1242]) ).
fof(f2754,plain,
( sQ17_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f871,f2688,f1297]) ).
fof(f2755,definition,
( sQ333_spl
<=> sP77_prd ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f2758,plain,
( sQ93_spl
| sQ333_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f878,f2705,f2755,f1576]) ).
fof(f2759,definition,
( sQ334_spl
<=> sP78_prd ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f2763,definition,
( sQ335_spl
<=> sP79_prd ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f2768,plain,
( ~ sQ127_spl
| sQ333_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f882,f2705,f2755,f1686]) ).
fof(f2774,plain,
( ~ sQ64_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f889,f2709,f1482]) ).
fof(f2775,plain,
( sQ64_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f890,f2709,f1482]) ).
fof(f2779,plain,
( sQ81_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f895,f2713,f1537]) ).
fof(f2780,definition,
( sQ336_spl
<=> sP80_prd ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f2783,plain,
( sQ25_spl
| sQ336_spl
| ~ sQ330_spl ),
inference(split_clause,[status(thm)],[f902,f2730,f2780,f1323]) ).
fof(f2784,definition,
( sQ337_spl
<=> sP81_prd ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f2788,definition,
( sQ338_spl
<=> sP82_prd ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f2800,plain,
( sQ3_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f914,f2734,f1251]) ).
fof(f2801,plain,
( sQ12_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f915,f2734,f1281]) ).
fof(f2802,plain,
( ~ sQ29_spl
| ~ sQ23_spl
| ~ sQ332_spl ),
inference(split_clause,[status(thm)],[f917,f2738,f1316,f1336]) ).
fof(f2803,plain,
( sQ23_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f918,f2738,f1316]) ).
fof(f2804,plain,
( sQ29_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f919,f2738,f1336]) ).
fof(f2805,definition,
( sQ339_spl
<=> sP83_prd ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f2808,plain,
( sQ89_spl
| sQ339_spl
| ~ sQ333_spl ),
inference(split_clause,[status(thm)],[f926,f2755,f2805,f1563]) ).
fof(f2809,definition,
( sQ340_spl
<=> sP84_prd ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f2813,definition,
( sQ341_spl
<=> sP85_prd ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f2825,plain,
( sQ67_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f938,f2759,f1491]) ).
fof(f2828,plain,
( sQ87_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f942,f2763,f1556]) ).
fof(f2829,plain,
( sQ93_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f943,f2763,f1576]) ).
fof(f2830,definition,
( sQ342_spl
<=> sP86_prd ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f2833,plain,
( sQ21_spl
| sQ342_spl
| ~ sQ336_spl ),
inference(split_clause,[status(thm)],[f950,f2780,f2830,f1310]) ).
fof(f2834,definition,
( sQ343_spl
<=> sP87_prd ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f2838,definition,
( sQ344_spl
<=> sP88_prd ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f2841,plain,
( sQ344_spl
| sQ342_spl
| ~ sQ336_spl ),
inference(split_clause,[status(thm)],[f952,f2780,f2830,f2838]) ).
fof(f2849,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ337_spl ),
inference(split_clause,[status(thm)],[f961,f2784,f1248,f1268]) ).
fof(f2850,plain,
( sQ2_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f962,f2784,f1248]) ).
fof(f2851,plain,
( sQ8_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f963,f2784,f1268]) ).
fof(f2853,plain,
( sQ22_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f966,f2788,f1313]) ).
fof(f2855,definition,
( sQ345_spl
<=> sP89_prd ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f2859,definition,
( sQ346_spl
<=> sP90_prd ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f2863,definition,
( sQ347_spl
<=> sP91_prd ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f2866,plain,
( sQ347_spl
| sQ345_spl
| ~ sQ339_spl ),
inference(split_clause,[status(thm)],[f976,f2805,f2855,f2863]) ).
fof(f2874,plain,
( ~ sQ72_spl
| ~ sQ66_spl
| ~ sQ340_spl ),
inference(split_clause,[status(thm)],[f985,f2809,f1488,f1508]) ).
fof(f2875,plain,
( sQ66_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f986,f2809,f1488]) ).
fof(f2876,plain,
( sQ72_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f987,f2809,f1508]) ).
fof(f2879,plain,
( sQ89_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f991,f2813,f1563]) ).
fof(f2880,definition,
( sQ348_spl
<=> sP92_prd ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f2883,plain,
( sQ17_spl
| sQ348_spl
| ~ sQ342_spl ),
inference(split_clause,[status(thm)],[f998,f2830,f2880,f1297]) ).
fof(f2884,definition,
( sQ349_spl
<=> sP93_prd ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f2888,definition,
( sQ350_spl
<=> sP94_prd ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f2900,plain,
( sQ1_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f1010,f2834,f1245]) ).
fof(f2901,plain,
( sQ4_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f1011,f2834,f1255]) ).
fof(f2902,plain,
( ~ sQ21_spl
| ~ sQ344_spl ),
inference(split_clause,[status(thm)],[f1013,f2838,f1310]) ).
fof(f2903,plain,
( sQ21_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f1014,f2838,f1310]) ).
fof(f2905,definition,
( sQ351_spl
<=> sP95_prd ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f2908,plain,
( sQ81_spl
| sQ351_spl
| ~ sQ345_spl ),
inference(split_clause,[status(thm)],[f1022,f2855,f2905,f1537]) ).
fof(f2909,definition,
( sQ352_spl
<=> sP96_prd ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f2913,definition,
( sQ353_spl
<=> sP97_prd ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f2925,plain,
( sQ65_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f1034,f2859,f1485]) ).
fof(f2926,plain,
( sQ68_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f1035,f2859,f1495]) ).
fof(f2927,plain,
( ~ sQ85_spl
| ~ sQ347_spl ),
inference(split_clause,[status(thm)],[f1037,f2863,f1550]) ).
fof(f2930,definition,
( sQ354_spl
<=> sP98_prd ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f2933,plain,
( sQ12_spl
| sQ354_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f1046,f2880,f2930,f1281]) ).
fof(f2934,definition,
( sQ355_spl
<=> sP99_prd ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f2938,definition,
( sQ356_spl
<=> sP100_prd ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f2943,plain,
( ~ sQ63_spl
| sQ354_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f1050,f2880,f2930,f1446]) ).
fof(f2949,plain,
( ~ sQ0_spl
| ~ sQ349_spl ),
inference(split_clause,[status(thm)],[f1057,f2884,f1242]) ).
fof(f2950,plain,
( sQ0_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f1058,f2884,f1242]) ).
fof(f2954,plain,
( sQ17_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f1063,f2888,f1297]) ).
fof(f2955,definition,
( sQ357_spl
<=> sP101_prd ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f2958,plain,
( sQ76_spl
| sQ357_spl
| ~ sQ351_spl ),
inference(split_clause,[status(thm)],[f1070,f2905,f2955,f1521]) ).
fof(f2959,definition,
( sQ358_spl
<=> sP102_prd ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f2963,definition,
( sQ359_spl
<=> sP103_prd ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f2968,plain,
( ~ sQ127_spl
| sQ357_spl
| ~ sQ351_spl ),
inference(split_clause,[status(thm)],[f1074,f2905,f2955,f1686]) ).
fof(f2974,plain,
( ~ sQ64_spl
| ~ sQ352_spl ),
inference(split_clause,[status(thm)],[f1081,f2909,f1482]) ).
fof(f2975,plain,
( sQ64_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f1082,f2909,f1482]) ).
fof(f2979,plain,
( sQ81_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f1087,f2913,f1537]) ).
fof(f2980,definition,
( sQ360_spl
<=> sP104_prd ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f2983,plain,
( sQ8_spl
| sQ360_spl
| ~ sQ354_spl ),
inference(split_clause,[status(thm)],[f1094,f2930,f2980,f1268]) ).
fof(f2984,definition,
( sQ361_spl
<=> sP105_prd ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f2987,plain,
( sQ361_spl
| sQ360_spl
| ~ sQ354_spl ),
inference(split_clause,[status(thm)],[f1095,f2930,f2980,f2984]) ).
fof(f2988,definition,
( sQ362_spl
<=> sP106_prd ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f3000,plain,
( sQ3_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f1106,f2934,f1251]) ).
fof(f3001,plain,
( sQ12_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f1107,f2934,f1281]) ).
fof(f3002,plain,
( ~ sQ29_spl
| ~ sQ23_spl
| ~ sQ356_spl ),
inference(split_clause,[status(thm)],[f1109,f2938,f1316,f1336]) ).
fof(f3003,plain,
( sQ23_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f1110,f2938,f1316]) ).
fof(f3004,plain,
( sQ29_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f1111,f2938,f1336]) ).
fof(f3005,definition,
( sQ363_spl
<=> sP107_prd ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f3008,plain,
( sQ72_spl
| sQ363_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f1118,f2955,f3005,f1508]) ).
fof(f3009,definition,
( sQ364_spl
<=> sP108_prd ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f3012,plain,
( sQ364_spl
| sQ363_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f1119,f2955,f3005,f3009]) ).
fof(f3013,definition,
( sQ365_spl
<=> sP109_prd ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f3025,plain,
( sQ67_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f1130,f2959,f1491]) ).
fof(f3028,plain,
( sQ87_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f1134,f2963,f1556]) ).
fof(f3029,plain,
( sQ93_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f1135,f2963,f1576]) ).
fof(f3030,definition,
( sQ366_spl
<=> sP110_prd ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f3033,plain,
( sQ4_spl
| sQ366_spl
| ~ sQ360_spl ),
inference(split_clause,[status(thm)],[f1142,f2980,f3030,f1255]) ).
fof(f3034,definition,
( sQ367_spl
<=> sP111_prd ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f3038,definition,
( sQ368_spl
<=> sP112_prd ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f3041,plain,
( sQ368_spl
| sQ366_spl
| ~ sQ360_spl ),
inference(split_clause,[status(thm)],[f1144,f2980,f3030,f3038]) ).
fof(f3049,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ sQ361_spl ),
inference(split_clause,[status(thm)],[f1153,f2984,f1248,f1268]) ).
fof(f3050,plain,
( sQ2_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f1154,f2984,f1248]) ).
fof(f3051,plain,
( sQ8_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f1155,f2984,f1268]) ).
fof(f3053,plain,
( sQ22_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f1158,f2988,f1313]) ).
fof(f3055,definition,
( sQ369_spl
<=> sP113_prd ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f3058,plain,
( sQ68_spl
| sQ369_spl
| ~ sQ363_spl ),
inference(split_clause,[status(thm)],[f1166,f3005,f3055,f1495]) ).
fof(f3059,definition,
( sQ370_spl
<=> sP114_prd ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f3063,definition,
( sQ371_spl
<=> sP115_prd ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f3066,plain,
( sQ371_spl
| sQ369_spl
| ~ sQ363_spl ),
inference(split_clause,[status(thm)],[f1168,f3005,f3055,f3063]) ).
fof(f3074,plain,
( ~ sQ72_spl
| ~ sQ66_spl
| ~ sQ364_spl ),
inference(split_clause,[status(thm)],[f1177,f3009,f1488,f1508]) ).
fof(f3075,plain,
( sQ66_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f1178,f3009,f1488]) ).
fof(f3076,plain,
( sQ72_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f1179,f3009,f1508]) ).
fof(f3079,plain,
( sQ89_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f1183,f3013,f1563]) ).
fof(f3080,plain,
( sQ0_spl
| ~ sQ366_spl ),
inference(split_clause,[status(thm)],[f1188,f3030,f1242]) ).
fof(f3081,definition,
( sQ372_spl
<=> sP116_prd ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f3084,plain,
( sQ372_spl
| ~ sQ366_spl ),
inference(split_clause,[status(thm)],[f1189,f3030,f3081]) ).
fof(f3085,definition,
( sQ373_spl
<=> sP117_prd ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f3096,plain,
( sQ1_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f1199,f3034,f1245]) ).
fof(f3097,plain,
( sQ4_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f1200,f3034,f1255]) ).
fof(f3098,plain,
( ~ sQ21_spl
| ~ sQ368_spl ),
inference(split_clause,[status(thm)],[f1202,f3038,f1310]) ).
fof(f3099,plain,
( sQ21_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f1203,f3038,f1310]) ).
fof(f3101,plain,
( sQ64_spl
| ~ sQ369_spl ),
inference(split_clause,[status(thm)],[f1209,f3055,f1482]) ).
fof(f3102,definition,
( sQ374_spl
<=> sP118_prd ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f3105,plain,
( sQ374_spl
| ~ sQ369_spl ),
inference(split_clause,[status(thm)],[f1210,f3055,f3102]) ).
fof(f3106,definition,
( sQ375_spl
<=> sP119_prd ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f3117,plain,
( sQ65_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f1220,f3059,f1485]) ).
fof(f3118,plain,
( sQ68_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f1221,f3059,f1495]) ).
fof(f3119,plain,
( ~ sQ85_spl
| ~ sQ371_spl ),
inference(split_clause,[status(thm)],[f1223,f3063,f1550]) ).
fof(f3122,plain,
( ~ sQ0_spl
| ~ sQ372_spl ),
inference(split_clause,[status(thm)],[f1227,f3081,f1242]) ).
fof(f3123,plain,
( sQ0_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f1228,f3081,f1242]) ).
fof(f3127,plain,
( sQ17_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f1233,f3085,f1297]) ).
fof(f3128,plain,
( ~ sQ64_spl
| ~ sQ374_spl ),
inference(split_clause,[status(thm)],[f1235,f3102,f1482]) ).
fof(f3129,plain,
( sQ64_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f1236,f3102,f1482]) ).
fof(f3133,plain,
( sQ81_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f1241,f3106,f1537]) ).
fof(f3137,plain,
e11 != op1(e13,e10),
inference(backward_demodulation,[status(thm)],[f3140,f121]) ).
fof(f3138,plain,
op1(e11,e10) != e11,
inference(backward_demodulation,[status(thm)],[f3140,f119]) ).
fof(f3140,plain,
e11 = op1(e12,e10),
inference(forward_demodulation,[status(thm)],[f266,f267]) ).
fof(f3141,plain,
e10 = op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f268,f266]) ).
fof(f3151,plain,
op2(e21,e20) != e21,
inference(backward_demodulation,[status(thm)],[f3153,f167]) ).
fof(f3153,plain,
e21 = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f269,f270]) ).
fof(f3154,plain,
e20 = op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f271,f269]) ).
fof(f3157,plain,
e23 != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f271,f181]) ).
fof(f3160,plain,
h1(e11) = op2(e20,h1(e10)),
inference(forward_demodulation,[status(thm)],[f273,f274]) ).
fof(f3161,plain,
h1(e10) = op2(e20,h1(e13)),
inference(backward_demodulation,[status(thm)],[f275,f273]) ).
fof(f3162,plain,
h1(e13) != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f275,f190]) ).
fof(f3163,plain,
h1(e13) != op2(e20,e22),
inference(backward_demodulation,[status(thm)],[f275,f189]) ).
fof(f3164,plain,
h1(e13) != op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f275,f188]) ).
fof(f3166,plain,
h1(e13) != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f275,f164]) ).
fof(f3167,plain,
h2(e11) = op2(e21,h2(e10)),
inference(forward_demodulation,[status(thm)],[f277,f278]) ).
fof(f3168,plain,
h2(e10) = op2(e21,h2(e13)),
inference(backward_demodulation,[status(thm)],[f279,f277]) ).
fof(f3169,plain,
h2(e13) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f279,f198]) ).
fof(f3170,plain,
h2(e13) != op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f279,f197]) ).
fof(f3171,plain,
op2(e21,e20) != h2(e13),
inference(backward_demodulation,[status(thm)],[f279,f194]) ).
fof(f3172,plain,
h2(e13) != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f279,f174]) ).
fof(f3173,plain,
h2(e13) != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f279,f173]) ).
fof(f3174,plain,
op2(e20,e21) != h2(e13),
inference(backward_demodulation,[status(thm)],[f279,f170]) ).
fof(f3175,plain,
h3(e10) = e20,
inference(forward_demodulation,[status(thm)],[f269,f281]) ).
fof(f3176,plain,
h3(e11) = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f269,f282]) ).
fof(f3177,plain,
h3(e11) = e21,
inference(forward_demodulation,[status(thm)],[f3153,f3176]) ).
fof(f3178,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f271,f283]) ).
fof(f3179,plain,
h4(e11) = op2(e23,h4(e10)),
inference(forward_demodulation,[status(thm)],[f285,f286]) ).
fof(f3180,plain,
h4(e10) = op2(e23,h4(e13)),
inference(backward_demodulation,[status(thm)],[f287,f285]) ).
fof(f3181,plain,
op2(e23,e22) != h4(e13),
inference(backward_demodulation,[status(thm)],[f287,f211]) ).
fof(f3183,plain,
op2(e23,e20) != h4(e13),
inference(backward_demodulation,[status(thm)],[f287,f208]) ).
fof(f3187,plain,
( sQ215_spl
| h4(op1(e13,e12)) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f284,f2017]) ).
fof(f3188,plain,
( sQ212_spl
| h4(op1(e12,e13)) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f284,f2008]) ).
fof(f3189,plain,
( sQ211_spl
| h4(e13) != op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f268,f2005]) ).
fof(f3190,plain,
( sQ211_spl
| h4(e13) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f284,f3189]) ).
fof(f3191,plain,
( sQ211_spl
| h4(e13) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f284,f3190]) ).
fof(f3192,plain,
( sQ211_spl
| h4(e13) != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f287,f3191]) ).
fof(f3193,plain,
( sQ211_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3192]) ).
fof(f3194,plain,
sQ211_spl,
inference(contradiction_clause,[status(thm)],[f3193]) ).
fof(f3195,plain,
( sQ210_spl
| h4(op1(e12,e11)) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f284,f2002]) ).
fof(f3196,plain,
( sQ209_spl
| h4(e11) != op2(h4(e12),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3140,f1999]) ).
fof(f3197,plain,
( sQ209_spl
| h4(e11) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f284,f3196]) ).
fof(f3198,plain,
( sQ209_spl
| h4(e11) != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f3179,f3197]) ).
fof(f3199,plain,
( sQ209_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3198]) ).
fof(f3200,plain,
sQ209_spl,
inference(contradiction_clause,[status(thm)],[f3199]) ).
fof(f3201,plain,
( sQ207_spl
| h4(op1(e11,e12)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f284,f1993]) ).
fof(f3202,plain,
( sQ203_spl
| h4(op1(e10,e12)) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f284,f1981]) ).
fof(f3203,plain,
( sQ193_spl
| h3(op1(e13,e13)) != op2(e23,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f3178,f1947]) ).
fof(f3204,plain,
( sQ193_spl
| h3(op1(e13,e13)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3178,f3203]) ).
fof(f3205,plain,
( sQ193_spl
| h3(op1(e13,e13)) != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f287,f3204]) ).
fof(f3206,plain,
( sQ192_spl
| h3(op1(e13,e12)) != op2(e23,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f3178,f1944]) ).
fof(f3207,plain,
( sQ192_spl
| h3(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f280,f3206]) ).
fof(f3208,plain,
( sQ191_spl
| h3(op1(e13,e11)) != op2(e23,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f3178,f1941]) ).
fof(f3209,plain,
( sQ191_spl
| h3(op1(e13,e11)) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3177,f3208]) ).
fof(f3210,plain,
( sQ190_spl
| h3(op1(e13,e10)) != op2(e23,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3178,f1938]) ).
fof(f3211,plain,
( sQ190_spl
| h3(op1(e13,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f3175,f3210]) ).
fof(f3212,plain,
( sQ189_spl
| h3(op1(e12,e13)) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f280,f1935]) ).
fof(f3213,plain,
( sQ189_spl
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3178,f3212]) ).
fof(f3214,plain,
( sQ188_spl
| h3(e13) != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f268,f1932]) ).
fof(f3215,plain,
( sQ188_spl
| e23 != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f3178,f3214]) ).
fof(f3216,plain,
( sQ188_spl
| e23 != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f280,f3215]) ).
fof(f3217,plain,
( sQ188_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f280,f3216]) ).
fof(f3218,plain,
( sQ188_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f271,f3217]) ).
fof(f3219,plain,
( sQ188_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3218]) ).
fof(f3220,plain,
sQ188_spl,
inference(contradiction_clause,[status(thm)],[f3219]) ).
fof(f3221,plain,
( sQ187_spl
| h3(op1(e12,e11)) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f280,f1929]) ).
fof(f3222,plain,
( sQ187_spl
| h3(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f3177,f3221]) ).
fof(f3223,plain,
( sQ186_spl
| h3(e11) != op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3140,f1926]) ).
fof(f3224,plain,
( sQ186_spl
| e21 != op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3177,f3223]) ).
fof(f3225,plain,
( sQ186_spl
| e21 != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f280,f3224]) ).
fof(f3226,plain,
( sQ186_spl
| e21 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f3175,f3225]) ).
fof(f3227,plain,
( sQ186_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3153,f3226]) ).
fof(f3228,plain,
( sQ186_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3227]) ).
fof(f3229,plain,
sQ186_spl,
inference(contradiction_clause,[status(thm)],[f3228]) ).
fof(f3230,plain,
( sQ185_spl
| h3(op1(e11,e13)) != op2(e21,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f3177,f1923]) ).
fof(f3231,plain,
( sQ185_spl
| h3(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3178,f3230]) ).
fof(f3232,plain,
( sQ184_spl
| h3(op1(e11,e12)) != op2(e21,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f3177,f1920]) ).
fof(f3233,plain,
( sQ184_spl
| h3(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f280,f3232]) ).
fof(f3234,plain,
( sQ183_spl
| h3(op1(e11,e11)) != op2(e21,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f3177,f1917]) ).
fof(f3235,plain,
( sQ183_spl
| h3(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f3177,f3234]) ).
fof(f3236,plain,
( sQ183_spl
| h3(op1(e11,e11)) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f279,f3235]) ).
fof(f3237,plain,
( sQ182_spl
| h3(op1(e11,e10)) != op2(e21,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3177,f1914]) ).
fof(f3238,plain,
( sQ182_spl
| h3(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3175,f3237]) ).
fof(f3239,plain,
( sQ181_spl
| h3(op1(e10,e13)) != op2(e20,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f3175,f1911]) ).
fof(f3240,plain,
( sQ181_spl
| h3(op1(e10,e13)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3178,f3239]) ).
fof(f3241,plain,
( sQ180_spl
| h3(op1(e10,e12)) != op2(e20,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f3175,f1908]) ).
fof(f3242,plain,
( sQ180_spl
| h3(op1(e10,e12)) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f280,f3241]) ).
fof(f3243,plain,
( sQ179_spl
| h3(op1(e10,e11)) != op2(e20,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f3175,f1905]) ).
fof(f3244,plain,
( sQ179_spl
| h3(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f3177,f3243]) ).
fof(f3245,plain,
( sQ178_spl
| h3(op1(e10,e10)) != op2(e20,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3175,f1902]) ).
fof(f3246,plain,
( sQ178_spl
| h3(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3175,f3245]) ).
fof(f3247,plain,
( sQ178_spl
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f275,f3246]) ).
fof(f3248,plain,
( sQ169_spl
| h2(op1(e13,e12)) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f276,f1871]) ).
fof(f3249,plain,
( sQ166_spl
| h2(op1(e12,e13)) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f276,f1862]) ).
fof(f3250,plain,
( sQ165_spl
| h2(e13) != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f268,f1859]) ).
fof(f3251,plain,
( sQ165_spl
| h2(e13) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f276,f3250]) ).
fof(f3252,plain,
( sQ165_spl
| h2(e13) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f276,f3251]) ).
fof(f3253,plain,
( sQ165_spl
| h2(e13) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f279,f3252]) ).
fof(f3254,plain,
( sQ165_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3253]) ).
fof(f3255,plain,
sQ165_spl,
inference(contradiction_clause,[status(thm)],[f3254]) ).
fof(f3256,plain,
( sQ164_spl
| h2(op1(e12,e11)) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f276,f1856]) ).
fof(f3257,plain,
( sQ163_spl
| h2(e11) != op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3140,f1853]) ).
fof(f3258,plain,
( sQ163_spl
| h2(e11) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f276,f3257]) ).
fof(f3259,plain,
( sQ163_spl
| h2(e11) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f3167,f3258]) ).
fof(f3260,plain,
( sQ163_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3259]) ).
fof(f3261,plain,
sQ163_spl,
inference(contradiction_clause,[status(thm)],[f3260]) ).
fof(f3262,plain,
( sQ161_spl
| h2(op1(e11,e12)) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f276,f1847]) ).
fof(f3263,plain,
( sQ157_spl
| h2(op1(e10,e12)) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f276,f1835]) ).
fof(f3264,plain,
( sQ146_spl
| h1(op1(e13,e12)) != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f272,f1798]) ).
fof(f3265,plain,
( sQ143_spl
| h1(op1(e12,e13)) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f272,f1789]) ).
fof(f3266,plain,
( sQ142_spl
| h1(e13) != op2(h1(e12),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f268,f1786]) ).
fof(f3267,plain,
( sQ142_spl
| h1(e13) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f272,f3266]) ).
fof(f3268,plain,
( sQ142_spl
| h1(e13) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f272,f3267]) ).
fof(f3269,plain,
( sQ142_spl
| h1(e13) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f275,f3268]) ).
fof(f3270,plain,
( sQ142_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3269]) ).
fof(f3271,plain,
sQ142_spl,
inference(contradiction_clause,[status(thm)],[f3270]) ).
fof(f3272,plain,
( sQ141_spl
| h1(op1(e12,e11)) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f272,f1783]) ).
fof(f3273,plain,
( sQ140_spl
| h1(e11) != op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3140,f1780]) ).
fof(f3274,plain,
( sQ140_spl
| h1(e11) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f272,f3273]) ).
fof(f3275,plain,
( sQ140_spl
| h1(e11) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f3160,f3274]) ).
fof(f3276,plain,
( sQ140_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3275]) ).
fof(f3277,plain,
sQ140_spl,
inference(contradiction_clause,[status(thm)],[f3276]) ).
fof(f3278,plain,
( sQ138_spl
| h1(op1(e11,e12)) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f272,f1774]) ).
fof(f3279,plain,
( sQ134_spl
| h1(op1(e10,e12)) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f272,f1762]) ).
fof(f3282,plain,
( ~ sQ82_spl
| e22 != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f1541,f195]) ).
fof(f3284,plain,
( sQ136_spl
| ~ sQ18_spl
| h1(e12) != op2(h1(e11),h1(e10)) ),
inference(backward_demodulation,[status(thm)],[f1301,f1768]) ).
fof(f3288,plain,
( ~ sQ18_spl
| e12 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f1301,f147]) ).
fof(f3290,plain,
( ~ sQ18_spl
| e12 != op1(e13,e10) ),
inference(backward_demodulation,[status(thm)],[f1301,f120]) ).
fof(f3297,plain,
( ~ sQ95_spl
| op2(e21,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1583,f199]) ).
fof(f3299,plain,
( sQ181_spl
| ~ sQ79_spl
| h3(op1(e10,e13)) != e23 ),
inference(backward_demodulation,[status(thm)],[f1531,f3240]) ).
fof(f3301,plain,
( ~ sQ79_spl
| op2(e20,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f1531,f192]) ).
fof(f3302,plain,
( ~ sQ94_spl
| ~ sQ95_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1583,f1580]) ).
fof(f3303,plain,
( ~ sQ94_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3302,f223]) ).
fof(f3304,plain,
( ~ sQ94_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f3303]) ).
fof(f3305,plain,
( ~ sQ78_spl
| ~ sQ79_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1531,f1528]) ).
fof(f3306,plain,
( ~ sQ78_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3305,f223]) ).
fof(f3307,plain,
( ~ sQ78_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f3306]) ).
fof(f3310,plain,
( ~ sQ122_spl
| op2(e23,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f1671,f207]) ).
fof(f3315,plain,
( ~ sQ118_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1658,f175]) ).
fof(f3321,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1671,f1668]) ).
fof(f3322,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3321,f221]) ).
fof(f3323,plain,
( ~ sQ121_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f3322]) ).
fof(f3327,plain,
( ~ sQ113_spl
| ~ sQ114_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1645,f1642]) ).
fof(f3328,plain,
( ~ sQ113_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3327,f221]) ).
fof(f3329,plain,
( ~ sQ113_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f3328]) ).
fof(f3336,plain,
( ~ sQ99_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f3153,f1596]) ).
fof(f3337,plain,
( ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3336,f222]) ).
fof(f3338,plain,
~ sQ99_spl,
inference(contradiction_clause,[status(thm)],[f3337]) ).
fof(f3342,plain,
( ~ sQ74_spl
| ~ sQ75_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1518,f1515]) ).
fof(f3343,plain,
( ~ sQ74_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3342,f223]) ).
fof(f3344,plain,
( ~ sQ74_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3343]) ).
fof(f3348,plain,
( ~ sQ96_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f3153,f1587]) ).
fof(f3349,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3348,f218]) ).
fof(f3350,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f3349]) ).
fof(f3352,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f1541,f1544]) ).
fof(f3353,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3352,f223]) ).
fof(f3354,plain,
( ~ sQ83_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f3353]) ).
fof(f3366,plain,
( sQ162_spl
| ~ sQ31_spl
| h2(e13) != op2(h2(e11),h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f1343,f1850]) ).
fof(f3368,plain,
( ~ sQ31_spl
| op1(e11,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f1343,f151]) ).
fof(f3371,plain,
( ~ sQ31_spl
| op1(e10,e13) != e13 ),
inference(backward_demodulation,[status(thm)],[f1343,f134]) ).
fof(f3374,plain,
( sQ204_spl
| ~ sQ15_spl
| h4(e13) != op2(h4(e10),h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f1291,f1984]) ).
fof(f3378,plain,
( ~ sQ15_spl
| e13 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f1291,f136]) ).
fof(f3379,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1343,f1340]) ).
fof(f3380,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3379,f217]) ).
fof(f3381,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f3380]) ).
fof(f3382,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1291,f1288]) ).
fof(f3383,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3382,f217]) ).
fof(f3384,plain,
( ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3383]) ).
fof(f3392,plain,
( ~ sQ58_spl
| op1(e10,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f1431,f130]) ).
fof(f3398,plain,
( ~ sQ54_spl
| op1(e12,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f1418,f127]) ).
fof(f3409,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1431,f1428]) ).
fof(f3410,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3409,f215]) ).
fof(f3411,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f3410]) ).
fof(f3421,plain,
( ~ sQ27_spl
| op1(e11,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f1330,f149]) ).
fof(f3426,plain,
( ~ sQ11_spl
| op1(e10,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f1278,f143]) ).
fof(f3433,plain,
( ~ sQ35_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f3140,f1356]) ).
fof(f3434,plain,
( ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3433,f216]) ).
fof(f3435,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f3434]) ).
fof(f3439,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1278,f1275]) ).
fof(f3440,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3439,f217]) ).
fof(f3441,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3440]) ).
fof(f3445,plain,
( ~ sQ32_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f3140,f1347]) ).
fof(f3446,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3445,f212]) ).
fof(f3447,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f3446]) ).
fof(f3451,plain,
( ~ sQ7_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1265,f140]) ).
fof(f3452,plain,
( ~ sQ7_spl
| e13 != op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f1265,f122]) ).
fof(f3453,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1301,f1304]) ).
fof(f3454,plain,
( ~ sQ19_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3453,f217]) ).
fof(f3455,plain,
( ~ sQ19_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3454]) ).
fof(f3459,plain,
( sQ222_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f284,f2040]) ).
fof(f3460,plain,
( sQ222_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3459]) ).
fof(f3461,plain,
sQ222_spl,
inference(contradiction_clause,[status(thm)],[f3460]) ).
fof(f3462,plain,
( sQ200_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3178,f1971]) ).
fof(f3463,plain,
( sQ200_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3462]) ).
fof(f3464,plain,
sQ200_spl,
inference(contradiction_clause,[status(thm)],[f3463]) ).
fof(f3470,plain,
( ~ sQ106_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f271,f1619]) ).
fof(f3471,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3470,f223]) ).
fof(f3472,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f3471]) ).
fof(f3473,plain,
( ~ sQ42_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f268,f1379]) ).
fof(f3474,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3473,f217]) ).
fof(f3475,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f3474]) ).
fof(f3480,plain,
( ~ sQ115_spl
| ~ sQ112_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1639,f1648]) ).
fof(f3481,plain,
( ~ sQ115_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3480,f220]) ).
fof(f3482,plain,
( ~ sQ115_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f3481]) ).
fof(f3486,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1399,f1408]) ).
fof(f3487,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3486,f214]) ).
fof(f3488,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f3487]) ).
fof(f3492,plain,
( ~ sQ126_spl
| e22 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f3493,f287]) ).
fof(f3493,plain,
( ~ sQ126_spl
| h4(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f287,f1684]) ).
fof(f3496,plain,
( ~ sQ119_spl
| ~ sQ116_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1652,f1661]) ).
fof(f3497,plain,
( ~ sQ119_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3496,f220]) ).
fof(f3498,plain,
( ~ sQ119_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f3497]) ).
fof(f3499,plain,
( ~ sQ102_spl
| ~ sQ100_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1600,f1606]) ).
fof(f3500,plain,
( ~ sQ102_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3499,f219]) ).
fof(f3501,plain,
( ~ sQ102_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f3500]) ).
fof(f3502,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1412,f1421]) ).
fof(f3503,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3502,f214]) ).
fof(f3504,plain,
( ~ sQ55_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3503]) ).
fof(f3505,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1360,f1366]) ).
fof(f3506,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3505,f213]) ).
fof(f3507,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3506]) ).
fof(f3508,plain,
( ~ sQ67_spl
| h1(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f275,f1492]) ).
fof(f3509,plain,
( ~ sQ67_spl
| sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3508,f1825]) ).
fof(f3510,plain,
( ~ sQ67_spl
| sQ154_spl ),
inference(contradiction_clause,[status(thm)],[f3509]) ).
fof(f3511,plain,
( ~ sQ87_spl
| h2(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f279,f1557]) ).
fof(f3512,plain,
( ~ sQ87_spl
| sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3511,f1898]) ).
fof(f3513,plain,
( ~ sQ87_spl
| sQ177_spl ),
inference(contradiction_clause,[status(thm)],[f3512]) ).
fof(f3520,plain,
( sQ183_spl
| ~ sQ23_spl
| h3(e13) != h2(e13) ),
inference(backward_demodulation,[status(thm)],[f1317,f3236]) ).
fof(f3521,plain,
( sQ206_spl
| ~ sQ23_spl
| h4(e13) != op2(h4(e11),h4(e11)) ),
inference(backward_demodulation,[status(thm)],[f1317,f1990]) ).
fof(f3525,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1259,f1256]) ).
fof(f3526,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3525,f212]) ).
fof(f3527,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3526]) ).
fof(f3528,plain,
( ~ sQ282_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f284,f2318]) ).
fof(f3529,plain,
( ~ sQ282_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3528,f223]) ).
fof(f3530,plain,
~ sQ282_spl,
inference(contradiction_clause,[status(thm)],[f3529]) ).
fof(f3532,plain,
( ~ sQ281_spl
| e22 = op2(e23,h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f2314,f3179]) ).
fof(f3534,plain,
( ~ sQ279_spl
| ~ sQ126_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f3493,f2305]) ).
fof(f3535,plain,
( ~ sQ279_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3534,f221]) ).
fof(f3536,plain,
( ~ sQ279_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3535]) ).
fof(f3537,plain,
( ~ sQ278_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f284,f2301]) ).
fof(f3538,plain,
( ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3537,f222]) ).
fof(f3539,plain,
~ sQ278_spl,
inference(contradiction_clause,[status(thm)],[f3538]) ).
fof(f3543,plain,
( ~ sQ276_spl
| ~ sQ280_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2310,f2293]) ).
fof(f3544,plain,
( ~ sQ276_spl
| ~ sQ280_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3543,f221]) ).
fof(f3545,plain,
( ~ sQ276_spl
| ~ sQ280_spl ),
inference(contradiction_clause,[status(thm)],[f3544]) ).
fof(f3546,plain,
( ~ sQ274_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f284,f2284]) ).
fof(f3547,plain,
( ~ sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3546,f220]) ).
fof(f3548,plain,
~ sQ274_spl,
inference(contradiction_clause,[status(thm)],[f3547]) ).
fof(f3549,plain,
( ~ sQ271_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f3178,f2271]) ).
fof(f3550,plain,
( ~ sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3549,f223]) ).
fof(f3551,plain,
~ sQ271_spl,
inference(contradiction_clause,[status(thm)],[f3550]) ).
fof(f3552,plain,
( ~ sQ269_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f3177,f2263]) ).
fof(f3553,plain,
( ~ sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3552,f221]) ).
fof(f3554,plain,
~ sQ269_spl,
inference(contradiction_clause,[status(thm)],[f3553]) ).
fof(f3555,plain,
( ~ sQ268_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f3175,f2259]) ).
fof(f3556,plain,
( ~ sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3555,f219]) ).
fof(f3557,plain,
~ sQ268_spl,
inference(contradiction_clause,[status(thm)],[f3556]) ).
fof(f3558,plain,
( ~ sQ267_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f3178,f2254]) ).
fof(f3559,plain,
( ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3558,f222]) ).
fof(f3560,plain,
~ sQ267_spl,
inference(contradiction_clause,[status(thm)],[f3559]) ).
fof(f3561,plain,
( ~ sQ266_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f280,f2250]) ).
fof(f3562,plain,
( ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3561,f221]) ).
fof(f3563,plain,
~ sQ266_spl,
inference(contradiction_clause,[status(thm)],[f3562]) ).
fof(f3564,plain,
( ~ sQ264_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f3175,f2242]) ).
fof(f3565,plain,
( ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3564,f218]) ).
fof(f3566,plain,
~ sQ264_spl,
inference(contradiction_clause,[status(thm)],[f3565]) ).
fof(f3567,plain,
( ~ sQ263_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f3178,f2237]) ).
fof(f3568,plain,
( ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3567,f220]) ).
fof(f3569,plain,
~ sQ263_spl,
inference(contradiction_clause,[status(thm)],[f3568]) ).
fof(f3570,plain,
( ~ sQ262_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f280,f2233]) ).
fof(f3571,plain,
( ~ sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3570,f219]) ).
fof(f3572,plain,
~ sQ262_spl,
inference(contradiction_clause,[status(thm)],[f3571]) ).
fof(f3573,plain,
( ~ sQ261_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f3177,f2229]) ).
fof(f3574,plain,
( ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3573,f218]) ).
fof(f3575,plain,
~ sQ261_spl,
inference(contradiction_clause,[status(thm)],[f3574]) ).
fof(f3577,plain,
( ~ sQ258_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f276,f2216]) ).
fof(f3578,plain,
( ~ sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3577,f221]) ).
fof(f3579,plain,
~ sQ258_spl,
inference(contradiction_clause,[status(thm)],[f3578]) ).
fof(f3581,plain,
( ~ sQ257_spl
| e22 = op2(e21,h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f2212,f3167]) ).
fof(f3583,plain,
( ~ sQ255_spl
| ~ sQ259_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2220,f2203]) ).
fof(f3584,plain,
( ~ sQ255_spl
| ~ sQ259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3583,f221]) ).
fof(f3585,plain,
( ~ sQ255_spl
| ~ sQ259_spl ),
inference(contradiction_clause,[status(thm)],[f3584]) ).
fof(f3589,plain,
( ~ sQ252_spl
| ~ sQ256_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2208,f2191]) ).
fof(f3590,plain,
( ~ sQ252_spl
| ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3589,f221]) ).
fof(f3591,plain,
( ~ sQ252_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f3590]) ).
fof(f3592,plain,
( ~ sQ250_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f276,f2182]) ).
fof(f3593,plain,
( ~ sQ250_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3592,f218]) ).
fof(f3594,plain,
~ sQ250_spl,
inference(contradiction_clause,[status(thm)],[f3593]) ).
fof(f3595,plain,
( ~ sQ247_spl
| e22 = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f2169,f275]) ).
fof(f3596,plain,
( ~ sQ246_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f272,f2165]) ).
fof(f3597,plain,
( ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3596,f219]) ).
fof(f3598,plain,
~ sQ246_spl,
inference(contradiction_clause,[status(thm)],[f3597]) ).
fof(f3600,plain,
( ~ sQ245_spl
| e22 = op2(e20,h1(e10)) ),
inference(backward_demodulation,[status(thm)],[f2161,f3160]) ).
fof(f3602,plain,
( ~ sQ243_spl
| ~ sQ247_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2169,f2152]) ).
fof(f3603,plain,
( ~ sQ243_spl
| ~ sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3602,f221]) ).
fof(f3604,plain,
( ~ sQ243_spl
| ~ sQ247_spl ),
inference(contradiction_clause,[status(thm)],[f3603]) ).
fof(f3605,plain,
( ~ sQ242_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f272,f2148]) ).
fof(f3606,plain,
( ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3605,f218]) ).
fof(f3607,plain,
~ sQ242_spl,
inference(contradiction_clause,[status(thm)],[f3606]) ).
fof(f3608,plain,
( ~ sQ241_spl
| ~ sQ245_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2161,f2144]) ).
fof(f3609,plain,
( ~ sQ241_spl
| ~ sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3608,f221]) ).
fof(f3610,plain,
( ~ sQ241_spl
| ~ sQ245_spl ),
inference(contradiction_clause,[status(thm)],[f3609]) ).
fof(f3630,plain,
( ~ sQ239_spl
| h1(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2135,f3161]) ).
fof(f3637,plain,
( ~ sQ239_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2135,f3166]) ).
fof(f3638,plain,
( ~ sQ239_spl
| ~ sQ80_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1535,f3637]) ).
fof(f3639,plain,
( ~ sQ239_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3638]) ).
fof(f3640,plain,
( ~ sQ239_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f3639]) ).
fof(f3658,plain,
( ~ sQ211_spl
| h4(e13) = op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f268,f2004]) ).
fof(f3659,plain,
( ~ sQ211_spl
| h4(e13) = op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f284,f3658]) ).
fof(f3660,plain,
( ~ sQ211_spl
| h4(e13) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f284,f3659]) ).
fof(f3661,plain,
( ~ sQ98_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f3153,f1593]) ).
fof(f3662,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3661,f221]) ).
fof(f3663,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f3662]) ).
fof(f3664,plain,
( ~ sQ34_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f3140,f1353]) ).
fof(f3665,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3664,f215]) ).
fof(f3666,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f3665]) ).
fof(f3673,plain,
( ~ sQ209_spl
| h4(e11) = op2(h4(e12),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3140,f1998]) ).
fof(f3674,plain,
( ~ sQ209_spl
| ~ sQ273_spl
| e20 = op2(h4(e12),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2280,f3673]) ).
fof(f3675,plain,
( ~ sQ209_spl
| ~ sQ273_spl
| e20 = op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f284,f3674]) ).
fof(f3686,plain,
( ~ sQ165_spl
| h2(e13) = op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f268,f1858]) ).
fof(f3687,plain,
( ~ sQ165_spl
| h2(e13) = op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f276,f3686]) ).
fof(f3688,plain,
( ~ sQ165_spl
| h2(e13) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f276,f3687]) ).
fof(f3689,plain,
( ~ sQ163_spl
| h2(e11) = op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3140,f1852]) ).
fof(f3690,plain,
( ~ sQ163_spl
| ~ sQ249_spl
| e20 = op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2178,f3689]) ).
fof(f3691,plain,
( ~ sQ163_spl
| ~ sQ249_spl
| e20 = op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f276,f3690]) ).
fof(f3696,plain,
( ~ sQ140_spl
| h1(e11) = op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3140,f1779]) ).
fof(f3697,plain,
( ~ sQ140_spl
| h1(e11) = op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f272,f3696]) ).
fof(f3708,plain,
( ~ sQ104_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f271,f1613]) ).
fof(f3709,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3708,f220]) ).
fof(f3710,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f3709]) ).
fof(f3711,plain,
( ~ sQ211_spl
| ~ sQ127_spl
| e23 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f3715,f3660]) ).
fof(f3715,plain,
( ~ sQ127_spl
| ~ sQ211_spl
| h4(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f3660,f1687]) ).
fof(f3717,plain,
( ~ sQ84_spl
| ~ sQ165_spl
| h2(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f3688,f1548]) ).
fof(f3720,plain,
( sQ181_spl
| ~ sQ13_spl
| h3(e11) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1285,f3240]) ).
fof(f3721,plain,
( sQ181_spl
| ~ sQ13_spl
| e21 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3177,f3720]) ).
fof(f3722,plain,
( sQ181_spl
| ~ sQ13_spl
| ~ sQ77_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1525,f3721]) ).
fof(f3723,plain,
( sQ181_spl
| ~ sQ13_spl
| ~ sQ77_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3722]) ).
fof(f3724,plain,
( sQ181_spl
| ~ sQ13_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f3723]) ).
fof(f3725,plain,
( ~ sQ73_spl
| e21 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1512,f193]) ).
fof(f3726,plain,
( ~ sQ73_spl
| ~ sQ77_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1525,f3725]) ).
fof(f3727,plain,
( ~ sQ73_spl
| ~ sQ77_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3726]) ).
fof(f3728,plain,
( ~ sQ73_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f3727]) ).
fof(f3729,plain,
( ~ sQ77_spl
| op2(e20,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f1525,f192]) ).
fof(f3730,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1580,f1577]) ).
fof(f3731,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3730,f221]) ).
fof(f3732,plain,
( ~ sQ93_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f3731]) ).
fof(f3733,plain,
( sQ189_spl
| h3(e10) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3141,f3213]) ).
fof(f3734,plain,
( sQ189_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3175,f3733]) ).
fof(f3735,plain,
( sQ189_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3154,f3734]) ).
fof(f3736,plain,
( sQ189_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3735]) ).
fof(f3737,plain,
sQ189_spl,
inference(contradiction_clause,[status(thm)],[f3736]) ).
fof(f3739,plain,
op2(e21,e23) != e20,
inference(forward_demodulation,[status(thm)],[f3154,f185]) ).
fof(f3750,plain,
( sQ184_spl
| ~ sQ24_spl
| h3(e10) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1321,f3233]) ).
fof(f3751,plain,
( sQ184_spl
| ~ sQ24_spl
| e20 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f3175,f3750]) ).
fof(f3755,plain,
( sQ182_spl
| ~ sQ16_spl
| h3(e10) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1295,f3238]) ).
fof(f3756,plain,
( sQ182_spl
| ~ sQ16_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3175,f3755]) ).
fof(f3764,plain,
( ~ sQ70_spl
| e22 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f1502,f171]) ).
fof(f3782,plain,
( ~ sQ23_spl
| e13 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f1317,f150]) ).
fof(f3783,plain,
( ~ sQ62_spl
| op1(e11,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f1444,f138]) ).
fof(f3784,plain,
( ~ sQ13_spl
| e11 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f1285,f134]) ).
fof(f3785,plain,
( ~ sQ30_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1340,f3783]) ).
fof(f3786,plain,
( ~ sQ30_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f3785]) ).
fof(f3788,plain,
( ~ sQ40_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f268,f1373]) ).
fof(f3789,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3788,f214]) ).
fof(f3790,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f3789]) ).
fof(f3796,plain,
( ~ sQ9_spl
| e11 != op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f1272,f145]) ).
fof(f3797,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1285,f3796]) ).
fof(f3798,plain,
( ~ sQ9_spl
| ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3797]) ).
fof(f3799,plain,
( ~ sQ9_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f3798]) ).
fof(f3804,plain,
( ~ sQ29_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1337,f3784]) ).
fof(f3805,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f3804]) ).
fof(f3806,plain,
( sQ143_spl
| h1(e10) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3141,f3265]) ).
fof(f3807,plain,
( sQ166_spl
| h2(e10) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f3141,f3249]) ).
fof(f3808,plain,
( sQ212_spl
| h4(e10) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3141,f3188]) ).
fof(f3811,plain,
e10 != op1(e13,e13),
inference(forward_demodulation,[status(thm)],[f3141,f139]) ).
fof(f3813,plain,
op1(e11,e13) != e10,
inference(forward_demodulation,[status(thm)],[f3141,f137]) ).
fof(f3824,plain,
( ~ sQ24_spl
| e10 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f1321,f132]) ).
fof(f3825,plain,
( ~ sQ24_spl
| ~ sQ56_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1425,f3824]) ).
fof(f3826,plain,
( ~ sQ24_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3825]) ).
fof(f3827,plain,
( ~ sQ24_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3826]) ).
fof(f3832,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1402,f3137]) ).
fof(f3833,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f3832]) ).
fof(f3835,plain,
( ~ sQ63_spl
| op1(e13,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f1447,f160]) ).
fof(f3840,plain,
( ~ sQ2_spl
| e12 != op1(e10,e12) ),
inference(backward_demodulation,[status(thm)],[f1249,f141]) ).
fof(f3841,plain,
( ~ sQ2_spl
| e12 != op1(e13,e10) ),
inference(backward_demodulation,[status(thm)],[f1249,f118]) ).
fof(f3848,plain,
( ~ sQ19_spl
| e13 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f1304,f148]) ).
fof(f3851,plain,
( ~ sQ19_spl
| e13 != op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f1304,f120]) ).
fof(f3855,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1425,f1434]) ).
fof(f3856,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3855,f214]) ).
fof(f3857,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3856]) ).
fof(f3879,plain,
( ~ sQ110_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f3154,f1632]) ).
fof(f3880,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3879,f219]) ).
fof(f3881,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f3880]) ).
fof(f3883,plain,
( ~ sQ46_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f3141,f1392]) ).
fof(f3884,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3883,f213]) ).
fof(f3885,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f3884]) ).
fof(f3894,plain,
( ~ sQ165_spl
| ~ sQ87_spl
| e23 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f3511,f3688]) ).
fof(f3904,plain,
( ~ sQ283_spl
| ~ sQ127_spl
| ~ sQ211_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f3715,f2322]) ).
fof(f3905,plain,
( ~ sQ283_spl
| ~ sQ127_spl
| ~ sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3904,f223]) ).
fof(f3906,plain,
( ~ sQ283_spl
| ~ sQ127_spl
| ~ sQ211_spl ),
inference(contradiction_clause,[status(thm)],[f3905]) ).
fof(f3915,plain,
( ~ sQ273_spl
| e20 = op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2280,f3179]) ).
fof(f3925,plain,
( sQ270_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f280,f2268]) ).
fof(f3926,plain,
( sQ270_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3925]) ).
fof(f3927,plain,
sQ270_spl,
inference(contradiction_clause,[status(thm)],[f3926]) ).
fof(f3931,plain,
( sQ265_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3177,f2247]) ).
fof(f3932,plain,
( sQ265_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3931]) ).
fof(f3933,plain,
sQ265_spl,
inference(contradiction_clause,[status(thm)],[f3932]) ).
fof(f3937,plain,
( sQ260_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3175,f2226]) ).
fof(f3938,plain,
( sQ260_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3937]) ).
fof(f3939,plain,
sQ260_spl,
inference(contradiction_clause,[status(thm)],[f3938]) ).
fof(f3947,plain,
( ~ sQ257_spl
| e22 = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f3167,f3581]) ).
fof(f3949,plain,
( ~ sQ255_spl
| ~ sQ87_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f3511,f2203]) ).
fof(f3950,plain,
( ~ sQ255_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3949,f222]) ).
fof(f3951,plain,
( ~ sQ255_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f3950]) ).
fof(f3954,plain,
( ~ sQ154_spl
| e23 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1824,f275]) ).
fof(f3958,plain,
( ~ sQ140_spl
| ~ sQ240_spl
| h1(e11) = op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f2140,f3697]) ).
fof(f3962,plain,
( sQ141_spl
| ~ sQ245_spl
| ~ sQ140_spl
| h1(op1(e12,e11)) != op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f3964,f3272]) ).
fof(f3964,plain,
( ~ sQ245_spl
| ~ sQ140_spl
| e22 = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f3697,f3600]) ).
fof(f3982,plain,
( ~ sQ123_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1674,f3157]) ).
fof(f3983,plain,
( ~ sQ123_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3982]) ).
fof(f3984,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f3983]) ).
fof(f3994,plain,
( ~ sQ64_spl
| ~ sQ154_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f3954,f1483]) ).
fof(f3995,plain,
( ~ sQ64_spl
| ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3994,f220]) ).
fof(f3996,plain,
( ~ sQ64_spl
| ~ sQ154_spl ),
inference(contradiction_clause,[status(thm)],[f3995]) ).
fof(f3998,plain,
( ~ sQ90_spl
| op2(e20,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f1567,f176]) ).
fof(f4003,plain,
( sQ190_spl
| ~ sQ115_spl
| h3(op1(e13,e10)) != e23 ),
inference(backward_demodulation,[status(thm)],[f1648,f3211]) ).
fof(f4005,plain,
( ~ sQ90_spl
| h2(e13) != e22 ),
inference(forward_demodulation,[status(thm)],[f1567,f3170]) ).
fof(f4007,plain,
( ~ sQ76_spl
| ~ sQ78_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1528,f1522]) ).
fof(f4008,plain,
( ~ sQ76_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4007,f219]) ).
fof(f4009,plain,
( ~ sQ76_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f4008]) ).
fof(f4011,plain,
( ~ sQ74_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1515,f193]) ).
fof(f4017,plain,
( ~ sQ115_spl
| e23 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1648,f206]) ).
fof(f4020,plain,
( ~ sQ163_spl
| ~ sQ257_spl
| e22 = op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3947,f3689]) ).
fof(f4021,plain,
( ~ sQ163_spl
| ~ sQ257_spl
| e22 = op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f276,f4020]) ).
fof(f4027,plain,
( sQ170_spl
| ~ sQ63_spl
| h2(e13) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1447,f1874]) ).
fof(f4029,plain,
( ~ sQ41_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f268,f1376]) ).
fof(f4030,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4029,f216]) ).
fof(f4031,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f4030]) ).
fof(f4032,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f1447,f1441]) ).
fof(f4033,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4032,f216]) ).
fof(f4034,plain,
( ~ sQ61_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f4033]) ).
fof(f4038,plain,
( sQ132_spl
| ~ sQ0_spl
| h1(e10) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1243,f1756]) ).
fof(f4040,plain,
( sQ178_spl
| ~ sQ0_spl
| h3(e10) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1243,f3247]) ).
fof(f4041,plain,
( sQ178_spl
| ~ sQ0_spl
| e20 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f3175,f4040]) ).
fof(f4043,plain,
( ~ sQ14_spl
| op1(e10,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f1288,f145]) ).
fof(f4055,plain,
( sQ184_spl
| ~ sQ26_spl
| h3(e12) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1327,f3233]) ).
fof(f4056,plain,
( sQ184_spl
| ~ sQ26_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f280,f4055]) ).
fof(f4057,plain,
( sQ184_spl
| ~ sQ26_spl
| ~ sQ90_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1567,f4056]) ).
fof(f4058,plain,
( sQ184_spl
| ~ sQ26_spl
| ~ sQ90_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4057]) ).
fof(f4059,plain,
( sQ184_spl
| ~ sQ26_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f4058]) ).
fof(f4070,plain,
( ~ sQ53_spl
| op1(e11,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f1415,f126]) ).
fof(f4075,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1428,f1434]) ).
fof(f4076,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4075,f216]) ).
fof(f4077,plain,
( ~ sQ59_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f4076]) ).
fof(f4078,plain,
( ~ sQ50_spl
| e12 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f1405,f159]) ).
fof(f4087,plain,
( sQ157_spl
| ~ sQ9_spl
| h2(e11) != op2(h2(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f1272,f3263]) ).
fof(f4090,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1415,f1412]) ).
fof(f4091,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4090,f212]) ).
fof(f4092,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f4091]) ).
fof(f4093,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f1272,f1275]) ).
fof(f4094,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4093,f215]) ).
fof(f4095,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f4094]) ).
fof(f4099,plain,
( ~ sQ4_spl
| e10 != op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f1256,f124]) ).
fof(f4102,plain,
( sQ156_spl
| ~ sQ4_spl
| h2(e10) != op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1256,f1832]) ).
fof(f4107,plain,
( ~ sQ14_spl
| e12 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f1288,f136]) ).
fof(f4108,plain,
( ~ sQ0_spl
| e10 != op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f1243,f142]) ).
fof(f4110,plain,
( ~ sQ4_spl
| e10 != op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f1256,f144]) ).
fof(f4115,plain,
( sQ158_spl
| ~ sQ14_spl
| h2(e12) != op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1288,f1838]) ).
fof(f4116,plain,
( sQ158_spl
| ~ sQ14_spl
| e21 != op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f276,f4115]) ).
fof(f4125,plain,
( sQ187_spl
| ~ sQ102_spl
| h3(op1(e12,e11)) != e22 ),
inference(backward_demodulation,[status(thm)],[f1606,f3222]) ).
fof(f4133,plain,
( ~ sQ248_spl
| e20 = op2(e21,h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f2174,f3168]) ).
fof(f4141,plain,
( ~ sQ0_spl
| e10 != op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f1243,f140]) ).
fof(f4142,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1256,f4141]) ).
fof(f4143,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4142]) ).
fof(f4144,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f4143]) ).
fof(f4145,plain,
( ~ sQ0_spl
| e10 != op1(e10,e12) ),
inference(forward_demodulation,[status(thm)],[f1243,f141]) ).
fof(f4149,plain,
( ~ sQ0_spl
| e10 != op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f1243,f116]) ).
fof(f4151,plain,
( sQ136_spl
| ~ sQ18_spl
| e20 != op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f272,f3284]) ).
fof(f4160,plain,
( ~ sQ18_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3288,f1326,f1300]) ).
fof(f4161,plain,
( ~ sQ18_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3290,f1404,f1300]) ).
fof(f4165,plain,
( sQ182_spl
| ~ sQ18_spl
| h3(e12) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f1301,f3238]) ).
fof(f4173,plain,
( sQ205_spl
| ~ sQ18_spl
| h4(e12) != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1301,f1987]) ).
fof(f4174,plain,
( sQ205_spl
| ~ sQ18_spl
| e23 != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f284,f4173]) ).
fof(f4176,plain,
( sQ159_spl
| ~ sQ18_spl
| h2(e12) != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1301,f1841]) ).
fof(f4177,plain,
( sQ159_spl
| ~ sQ18_spl
| e21 != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f276,f4176]) ).
fof(f4184,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3368,f1329,f1342]) ).
fof(f4188,plain,
( sQ185_spl
| ~ sQ31_spl
| h3(e13) != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f1343,f3231]) ).
fof(f4189,plain,
( sQ139_spl
| ~ sQ31_spl
| h1(e13) != op2(h1(e11),h1(e13)) ),
inference(backward_demodulation,[status(thm)],[f1343,f1777]) ).
fof(f4194,plain,
( ~ sQ45_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f3141,f1389]) ).
fof(f4195,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4194,f212]) ).
fof(f4196,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f4195]) ).
fof(f4197,plain,
( ~ sQ38_spl
| op1(e11,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f1366,f125]) ).
fof(f4202,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1243,f1252]) ).
fof(f4203,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4202,f214]) ).
fof(f4204,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f4203]) ).
fof(f4207,plain,
( sQ212_spl
| h4(e10) != h4(e10) ),
inference(forward_demodulation,[status(thm)],[f3180,f3808]) ).
fof(f4208,plain,
( sQ212_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4207]) ).
fof(f4209,plain,
sQ212_spl,
inference(contradiction_clause,[status(thm)],[f4208]) ).
fof(f4218,plain,
( ~ sQ211_spl
| ~ sQ125_spl
| h4(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f1681,f3660]) ).
fof(f4228,plain,
( ~ sQ71_spl
| e23 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1505,f191]) ).
fof(f4236,plain,
( ~ sQ101_spl
| ~ sQ102_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1606,f1603]) ).
fof(f4237,plain,
( ~ sQ101_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4236,f221]) ).
fof(f4238,plain,
( ~ sQ101_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f4237]) ).
fof(f4245,plain,
( ~ sQ281_spl
| ~ sQ276_spl
| e22 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2293,f3532]) ).
fof(f4246,plain,
( ~ sQ281_spl
| ~ sQ276_spl
| ~ sQ116_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1652,f4245]) ).
fof(f4247,plain,
( ~ sQ281_spl
| ~ sQ276_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4246,f219]) ).
fof(f4248,plain,
( ~ sQ281_spl
| ~ sQ276_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f4247]) ).
fof(f4249,plain,
( sQ210_spl
| ~ sQ38_spl
| h4(e12) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1366,f3195]) ).
fof(f4250,plain,
( sQ210_spl
| ~ sQ38_spl
| e23 != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f284,f4249]) ).
fof(f4258,plain,
( ~ sQ102_spl
| h2(e13) != e22 ),
inference(forward_demodulation,[status(thm)],[f1606,f3173]) ).
fof(f4263,plain,
( ~ sQ177_spl
| e23 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f1897,f279]) ).
fof(f4271,plain,
( sQ87_spl
| h2(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f279,f1558]) ).
fof(f4272,plain,
( sQ87_spl
| ~ sQ177_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1897,f4271]) ).
fof(f4273,plain,
( sQ87_spl
| ~ sQ177_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4272]) ).
fof(f4274,plain,
( sQ87_spl
| ~ sQ177_spl ),
inference(contradiction_clause,[status(thm)],[f4273]) ).
fof(f4278,plain,
( sQ141_spl
| ~ sQ38_spl
| h1(e12) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1366,f3272]) ).
fof(f4279,plain,
( sQ141_spl
| ~ sQ38_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f272,f4278]) ).
fof(f4298,plain,
( ~ sQ109_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f3154,f1629]) ).
fof(f4299,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4298,f218]) ).
fof(f4300,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f4299]) ).
fof(f4302,plain,
( ~ sQ211_spl
| ~ sQ125_spl
| op2(e23,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f4218,f3181]) ).
fof(f4303,plain,
( ~ sQ73_spl
| e21 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1512,f178]) ).
fof(f4304,plain,
( ~ sQ88_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1561,f180]) ).
fof(f4307,plain,
( sQ279_spl
| ~ sQ211_spl
| ~ sQ125_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4218,f2306]) ).
fof(f4308,plain,
( sQ279_spl
| ~ sQ211_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4307]) ).
fof(f4309,plain,
( sQ279_spl
| ~ sQ211_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f4308]) ).
fof(f4310,plain,
( sQ124_spl
| h4(e13) != e20 ),
inference(forward_demodulation,[status(thm)],[f287,f1679]) ).
fof(f4311,plain,
( ~ sQ64_spl
| ~ sQ66_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1489,f1483]) ).
fof(f4312,plain,
( ~ sQ64_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4311,f219]) ).
fof(f4313,plain,
( ~ sQ64_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f4312]) ).
fof(f4315,plain,
( ~ sQ68_spl
| h1(e13) != e20 ),
inference(forward_demodulation,[status(thm)],[f1496,f3164]) ).
fof(f4325,plain,
( ~ sQ79_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f3301,f1504,f1530]) ).
fof(f4339,plain,
( ~ sQ61_spl
| op1(e13,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f1441,f163]) ).
fof(f4340,plain,
( sQ170_spl
| ~ sQ61_spl
| h2(e11) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1441,f1874]) ).
fof(f4349,plain,
( ~ sQ61_spl
| op1(e13,e11) != e11 ),
inference(forward_demodulation,[status(thm)],[f1441,f162]) ).
fof(f4371,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1366,f1363]) ).
fof(f4372,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4371,f215]) ).
fof(f4373,plain,
( ~ sQ37_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f4372]) ).
fof(f4387,plain,
( sQ187_spl
| ~ sQ102_spl
| ~ sQ38_spl
| h3(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f1366,f4125]) ).
fof(f4388,plain,
( sQ187_spl
| ~ sQ102_spl
| ~ sQ38_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f280,f4387]) ).
fof(f4389,plain,
( sQ187_spl
| ~ sQ102_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4388]) ).
fof(f4390,plain,
( sQ187_spl
| ~ sQ102_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f4389]) ).
fof(f4391,plain,
( ~ sQ21_spl
| e11 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f1311,f149]) ).
fof(f4403,plain,
( ~ sQ9_spl
| op1(e10,e11) != e11 ),
inference(forward_demodulation,[status(thm)],[f1272,f143]) ).
fof(f4404,plain,
( ~ sQ38_spl
| op1(e10,e11) != e12 ),
inference(forward_demodulation,[status(thm)],[f1366,f123]) ).
fof(f4405,plain,
( ~ sQ21_spl
| op1(e10,e11) != e11 ),
inference(forward_demodulation,[status(thm)],[f1311,f122]) ).
fof(f4406,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1259,f4403]) ).
fof(f4407,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f4406]) ).
fof(f4409,plain,
( sQ158_spl
| ~ sQ14_spl
| ~ sQ252_spl
| e21 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2191,f4116]) ).
fof(f4410,plain,
( ~ sQ252_spl
| e21 = op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2191,f3168]) ).
fof(f4411,plain,
( ~ sQ252_spl
| sQ158_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4410,f4409]) ).
fof(f4412,plain,
( ~ sQ252_spl
| sQ158_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f4411]) ).
fof(f4418,plain,
( ~ sQ47_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f3141,f1395]) ).
fof(f4419,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4418,f214]) ).
fof(f4420,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f4419]) ).
fof(f4427,plain,
( sQ183_spl
| ~ sQ23_spl
| e23 != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f3178,f3520]) ).
fof(f4428,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1311,f1317]) ).
fof(f4429,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4428,f216]) ).
fof(f4430,plain,
( ~ sQ23_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4429]) ).
fof(f4431,plain,
( ~ sQ21_spl
| e11 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f1311,f150]) ).
fof(f4444,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3451,f1251,f1264]) ).
fof(f4450,plain,
( ~ sQ212_spl
| h4(e10) = op2(h4(e12),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3141,f2007]) ).
fof(f4451,plain,
( ~ sQ212_spl
| h4(e10) = op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f284,f4450]) ).
fof(f4452,plain,
( ~ sQ68_spl
| e20 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1496,f192]) ).
fof(f4453,plain,
( sQ179_spl
| ~ sQ7_spl
| h3(e13) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1265,f3244]) ).
fof(f4454,plain,
( sQ179_spl
| ~ sQ7_spl
| e23 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f3178,f4453]) ).
fof(f4463,plain,
( ~ sQ103_spl
| ~ sQ102_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f1606,f1609]) ).
fof(f4464,plain,
( ~ sQ103_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4463,f223]) ).
fof(f4465,plain,
( ~ sQ103_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f4464]) ).
fof(f4468,plain,
( ~ sQ113_spl
| ~ sQ115_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1648,f1642]) ).
fof(f4469,plain,
( ~ sQ113_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4468,f222]) ).
fof(f4470,plain,
( ~ sQ113_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f4469]) ).
fof(f4471,plain,
( ~ sQ105_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f271,f1616]) ).
fof(f4472,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4471,f222]) ).
fof(f4473,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f4472]) ).
fof(f4474,plain,
( sQ206_spl
| ~ sQ21_spl
| h4(e11) != op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1311,f1990]) ).
fof(f4479,plain,
( ~ sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f3297,f1569,f1582]) ).
fof(f4482,plain,
( ~ sQ93_spl
| ~ sQ95_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1583,f1577]) ).
fof(f4483,plain,
( ~ sQ93_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4482,f222]) ).
fof(f4484,plain,
( ~ sQ93_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f4483]) ).
fof(f4498,plain,
( sQ167_spl
| ~ sQ85_spl
| h2(op1(e13,e10)) != op2(e21,h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f4504,f1865]) ).
fof(f4500,plain,
( ~ sQ85_spl
| e21 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f4504,f3172]) ).
fof(f4504,plain,
( ~ sQ85_spl
| h2(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f1551,f279]) ).
fof(f4506,plain,
( sQ255_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4504,f2204]) ).
fof(f4507,plain,
( sQ255_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4506]) ).
fof(f4508,plain,
( sQ255_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f4507]) ).
fof(f4509,plain,
( sQ169_spl
| ~ sQ58_spl
| h2(e12) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f1431,f3248]) ).
fof(f4510,plain,
( sQ169_spl
| ~ sQ58_spl
| e21 != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f276,f4509]) ).
fof(f4511,plain,
( sQ169_spl
| ~ sQ58_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4504,f4510]) ).
fof(f4512,plain,
( sQ169_spl
| ~ sQ58_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1551,f4511]) ).
fof(f4513,plain,
( sQ169_spl
| ~ sQ58_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4512]) ).
fof(f4514,plain,
( sQ169_spl
| ~ sQ58_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f4513]) ).
fof(f4515,plain,
( sQ183_spl
| ~ sQ21_spl
| h3(e11) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f1311,f3236]) ).
fof(f4516,plain,
( sQ183_spl
| ~ sQ21_spl
| e21 != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f3177,f4515]) ).
fof(f4517,plain,
( sQ183_spl
| ~ sQ21_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4504,f4516]) ).
fof(f4518,plain,
( sQ183_spl
| ~ sQ21_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4517]) ).
fof(f4519,plain,
( sQ183_spl
| ~ sQ21_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f4518]) ).
fof(f4523,plain,
( ~ sQ111_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f3154,f1635]) ).
fof(f4524,plain,
( ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4523,f220]) ).
fof(f4525,plain,
~ sQ111_spl,
inference(contradiction_clause,[status(thm)],[f4524]) ).
fof(f4534,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1272,f1278]) ).
fof(f4535,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4534,f216]) ).
fof(f4536,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f4535]) ).
fof(f4539,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1366,f1369]) ).
fof(f4540,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4539,f217]) ).
fof(f4541,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f4540]) ).
fof(f4543,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1431,f1434]) ).
fof(f4544,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4543,f217]) ).
fof(f4545,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f4544]) ).
fof(f4548,plain,
( sQ207_spl
| ~ sQ24_spl
| h4(e10) != op2(h4(e11),e23) ),
inference(backward_demodulation,[status(thm)],[f1321,f3201]) ).
fof(f4560,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3841,f1404,f1248]) ).
fof(f4563,plain,
( ~ sQ19_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f3848,f1342,f1303]) ).
fof(f4566,plain,
( ~ sQ19_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3851,f1407,f1303]) ).
fof(f4587,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1321,f1327]) ).
fof(f4588,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4587,f213]) ).
fof(f4589,plain,
( ~ sQ26_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f4588]) ).
fof(f4594,plain,
( sQ160_spl
| ~ sQ21_spl
| h2(e11) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1311,f1844]) ).
fof(f4604,plain,
( sQ164_spl
| ~ sQ38_spl
| h2(e12) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1366,f3256]) ).
fof(f4605,plain,
( sQ164_spl
| ~ sQ38_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f276,f4604]) ).
fof(f4615,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1311,f1308]) ).
fof(f4616,plain,
( ~ sQ20_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4615,f212]) ).
fof(f4617,plain,
( ~ sQ20_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4616]) ).
fof(f4621,plain,
( ~ sQ55_spl
| op1(e13,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f1421,f158]) ).
fof(f4626,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4070,f1310,f1414]) ).
fof(f4629,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f1421,f1415]) ).
fof(f4630,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4629,f216]) ).
fof(f4631,plain,
( ~ sQ53_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f4630]) ).
fof(f4633,plain,
( ~ sQ73_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f4303,f1667,f1511]) ).
fof(f4645,plain,
( ~ sQ211_spl
| ~ sQ125_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f4302,f1667,f1680,f2003]) ).
fof(f4675,plain,
( ~ sQ115_spl
| ~ sQ114_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f1645,f1648]) ).
fof(f4676,plain,
( ~ sQ115_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4675,f223]) ).
fof(f4677,plain,
( ~ sQ115_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f4676]) ).
fof(f4678,plain,
( sQ124_spl
| ~ sQ275_spl ),
inference(split_clause,[status(thm)],[f4310,f2287,f1677]) ).
fof(f4686,plain,
( ~ sQ74_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f4011,f1527,f1514]) ).
fof(f4694,plain,
( ~ sQ90_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f3998,f1514,f1566]) ).
fof(f4710,plain,
( ~ sQ71_spl
| h1(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f1505,f3164]) ).
fof(f4714,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4431,f1336,f1310]) ).
fof(f4715,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f4107,f1443,f1287]) ).
fof(f4734,plain,
( sQ166_spl
| h2(e10) != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f3168,f3807]) ).
fof(f4735,plain,
( sQ166_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4734]) ).
fof(f4736,plain,
sQ166_spl,
inference(contradiction_clause,[status(thm)],[f4735]) ).
fof(f4741,plain,
( ~ sQ64_spl
| e20 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f4745,f3162]) ).
fof(f4743,plain,
( ~ sQ64_spl
| e20 = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f4745,f275]) ).
fof(f4745,plain,
( ~ sQ64_spl
| h1(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f275,f1483]) ).
fof(f4746,plain,
( ~ sQ86_spl
| h2(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f279,f1554]) ).
fof(f4747,plain,
( ~ sQ86_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4746,f4005]) ).
fof(f4748,plain,
( ~ sQ86_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f4747]) ).
fof(f4750,plain,
( ~ sQ88_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f4304,f1664,f1560]) ).
fof(f4752,plain,
( ~ sQ68_spl
| ~ sQ71_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1505,f1496]) ).
fof(f4753,plain,
( ~ sQ68_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4752,f220]) ).
fof(f4754,plain,
( ~ sQ68_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f4753]) ).
fof(f4755,plain,
( ~ sQ68_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4745,f4315]) ).
fof(f4756,plain,
( ~ sQ68_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4755]) ).
fof(f4757,plain,
( ~ sQ68_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4756]) ).
fof(f4765,plain,
( ~ sQ143_spl
| h1(e10) = op2(h1(e12),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3141,f1788]) ).
fof(f4766,plain,
( ~ sQ143_spl
| h1(e10) = op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f272,f4765]) ).
fof(f4767,plain,
( sQ66_spl
| ~ sQ143_spl
| ~ sQ64_spl
| h1(e10) != e22 ),
inference(backward_demodulation,[status(thm)],[f4768,f1490]) ).
fof(f4768,plain,
( ~ sQ143_spl
| ~ sQ64_spl
| h1(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4745,f4766]) ).
fof(f4772,plain,
( sQ141_spl
| ~ sQ245_spl
| ~ sQ140_spl
| ~ sQ38_spl
| h1(e12) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1366,f3962]) ).
fof(f4773,plain,
( sQ141_spl
| ~ sQ245_spl
| ~ sQ140_spl
| ~ sQ38_spl
| e20 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f272,f4772]) ).
fof(f4774,plain,
( sQ141_spl
| ~ sQ245_spl
| ~ sQ140_spl
| ~ sQ38_spl
| ~ sQ72_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1509,f4773]) ).
fof(f4775,plain,
( sQ141_spl
| ~ sQ245_spl
| ~ sQ140_spl
| ~ sQ38_spl
| ~ sQ72_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4774]) ).
fof(f4776,plain,
( sQ141_spl
| ~ sQ245_spl
| ~ sQ140_spl
| ~ sQ38_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f4775]) ).
fof(f4781,plain,
( sQ137_spl
| ~ sQ21_spl
| h1(e11) != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1311,f1771]) ).
fof(f4792,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1334,f3813]) ).
fof(f4793,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f4792]) ).
fof(f4796,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f4391,f1323,f1310]) ).
fof(f4801,plain,
( ~ sQ72_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1509,f178]) ).
fof(f4802,plain,
( ~ sQ64_spl
| e20 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f4745,f3163]) ).
fof(f4803,plain,
( ~ sQ64_spl
| ~ sQ72_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1509,f4802]) ).
fof(f4804,plain,
( ~ sQ64_spl
| ~ sQ72_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4803]) ).
fof(f4805,plain,
( ~ sQ64_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f4804]) ).
fof(f4816,plain,
( ~ sQ4_spl
| e10 != op1(e10,e12) ),
inference(forward_demodulation,[status(thm)],[f1256,f143]) ).
fof(f4838,plain,
( ~ sQ127_spl
| ~ sQ211_spl
| h4(e10) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3715,f3180]) ).
fof(f4847,plain,
( ~ sQ127_spl
| ~ sQ211_spl
| h4(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f3711,f4838]) ).
fof(f4852,plain,
( sQ223_spl
| ~ sQ127_spl
| ~ sQ211_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3715,f2044]) ).
fof(f4853,plain,
( sQ223_spl
| ~ sQ127_spl
| ~ sQ211_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4852]) ).
fof(f4854,plain,
( sQ223_spl
| ~ sQ127_spl
| ~ sQ211_spl ),
inference(contradiction_clause,[status(thm)],[f4853]) ).
fof(f4869,plain,
( ~ sQ89_spl
| h2(e13) != e21 ),
inference(backward_demodulation,[status(thm)],[f1564,f3170]) ).
fof(f4870,plain,
( ~ sQ89_spl
| e21 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f1564,f180]) ).
fof(f4886,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1574,f3739]) ).
fof(f4887,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f4886]) ).
fof(f4891,plain,
( ~ sQ72_spl
| op2(e20,e21) != e20 ),
inference(forward_demodulation,[status(thm)],[f1509,f191]) ).
fof(f4912,plain,
( ~ sQ209_spl
| ~ sQ273_spl
| ~ sQ127_spl
| ~ sQ211_spl
| e20 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4847,f3675]) ).
fof(f4913,plain,
( ~ sQ209_spl
| ~ sQ273_spl
| ~ sQ127_spl
| ~ sQ211_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f3711,f4912]) ).
fof(f4914,plain,
( ~ sQ209_spl
| ~ sQ273_spl
| ~ sQ127_spl
| ~ sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4913,f220]) ).
fof(f4915,plain,
( ~ sQ209_spl
| ~ sQ273_spl
| ~ sQ127_spl
| ~ sQ211_spl ),
inference(contradiction_clause,[status(thm)],[f4914]) ).
fof(f4922,plain,
( ~ sQ71_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f4228,f1517,f1504]) ).
fof(f4927,plain,
( ~ sQ163_spl
| ~ sQ257_spl
| e22 = op2(e21,h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f4932,f3167]) ).
fof(f4932,plain,
( ~ sQ163_spl
| ~ sQ257_spl
| e22 = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f3167,f4021]) ).
fof(f4945,plain,
( ~ sQ255_spl
| e21 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f2203,f279]) ).
fof(f4947,plain,
( sQ170_spl
| ~ sQ255_spl
| h2(op1(e13,e13)) != op2(h2(e13),e21) ),
inference(backward_demodulation,[status(thm)],[f2203,f1874]) ).
fof(f4948,plain,
( ~ sQ255_spl
| h2(e10) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f2203,f3168]) ).
fof(f4957,plain,
( ~ sQ140_spl
| ~ sQ241_spl
| e21 = op2(e20,h1(e10)) ),
inference(backward_demodulation,[status(thm)],[f2144,f3697]) ).
fof(f4967,plain,
( ~ sQ16_spl
| e10 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f1295,f147]) ).
fof(f4968,plain,
( ~ sQ16_spl
| e10 != op1(e13,e10) ),
inference(backward_demodulation,[status(thm)],[f1295,f120]) ).
fof(f4975,plain,
( ~ sQ71_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f4710,f1823,f1504]) ).
fof(f4976,plain,
( sQ64_spl
| h1(e13) != e20 ),
inference(forward_demodulation,[status(thm)],[f275,f1484]) ).
fof(f4977,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f4339,f1427,f1440]) ).
fof(f4981,plain,
( ~ sQ61_spl
| op1(e11,e13) != e11 ),
inference(backward_demodulation,[status(thm)],[f1441,f138]) ).
fof(f4999,plain,
( sQ167_spl
| ~ sQ85_spl
| h2(op1(e13,e10)) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f3167,f4498]) ).
fof(f5001,plain,
( ~ sQ85_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f4500,f1654,f1550]) ).
fof(f5049,plain,
( ~ sQ14_spl
| e12 != op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f1288,f134]) ).
fof(f5060,plain,
( sQ138_spl
| ~ sQ26_spl
| h1(e12) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f1327,f3278]) ).
fof(f5061,plain,
( sQ138_spl
| ~ sQ26_spl
| e20 != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f272,f5060]) ).
fof(f5077,plain,
( ~ sQ126_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f3493,f2321,f1683]) ).
fof(f5089,plain,
( sQ185_spl
| ~ sQ31_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3178,f4188]) ).
fof(f5097,plain,
( sQ162_spl
| ~ sQ31_spl
| ~ sQ255_spl
| e21 != op2(h2(e11),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2203,f3366]) ).
fof(f5107,plain,
( ~ sQ51_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1408,f4621]) ).
fof(f5108,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f5107]) ).
fof(f5114,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f4078,f1430,f1404]) ).
fof(f5136,plain,
( ~ sQ83_spl
| e23 != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f1544,f3171]) ).
fof(f5148,plain,
( ~ sQ255_spl
| h2(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f4945,f4948]) ).
fof(f5149,plain,
( ~ sQ255_spl
| sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5148,f2192]) ).
fof(f5150,plain,
( ~ sQ255_spl
| sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f5149]) ).
fof(f5157,plain,
( ~ sQ16_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f4968,f1398,f1294]) ).
fof(f5170,plain,
( ~ sQ223_spl
| op2(e23,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f2043,f3183]) ).
fof(f5225,plain,
( ~ sQ118_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3315,f1605,f1657]) ).
fof(f5238,plain,
( ~ sQ80_spl
| ~ sQ83_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1544,f1535]) ).
fof(f5239,plain,
( ~ sQ80_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5238,f220]) ).
fof(f5240,plain,
( ~ sQ80_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f5239]) ).
fof(f5251,plain,
( ~ sQ64_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f4741,f1521,f1482]) ).
fof(f5252,plain,
( ~ sQ64_spl
| e20 = h1(e13) ),
inference(forward_demodulation,[status(thm)],[f275,f4743]) ).
fof(f5253,plain,
( ~ sQ64_spl
| sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5252,f2136]) ).
fof(f5254,plain,
( ~ sQ64_spl
| sQ239_spl ),
inference(contradiction_clause,[status(thm)],[f5253]) ).
fof(f5259,plain,
( ~ sQ64_spl
| h1(e10) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f4745,f3161]) ).
fof(f5280,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1272,f1269]) ).
fof(f5281,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5280,f212]) ).
fof(f5282,plain,
( ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f5281]) ).
fof(f5305,plain,
( ~ sQ70_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3764,f1605,f1501]) ).
fof(f5313,plain,
( ~ sQ81_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1538,f3151]) ).
fof(f5314,plain,
( ~ sQ81_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5313]) ).
fof(f5315,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f5314]) ).
fof(f5322,plain,
( ~ sQ239_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2135,f275]) ).
fof(f5323,plain,
( ~ sQ239_spl
| e20 = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f5326,f3630]) ).
fof(f5325,plain,
( ~ sQ140_spl
| ~ sQ239_spl
| h1(e11) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f5326,f3697]) ).
fof(f5326,plain,
( ~ sQ239_spl
| e20 = h1(e10) ),
inference(forward_demodulation,[status(thm)],[f3630,f5322]) ).
fof(f5359,plain,
( ~ sQ4_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f4110,f1281,f1255]) ).
fof(f5409,plain,
( ~ sQ89_spl
| ~ sQ255_spl ),
inference(split_clause,[status(thm)],[f4869,f2202,f1563]) ).
fof(f5410,plain,
( ~ sQ89_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f4870,f1667,f1563]) ).
fof(f5419,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1564,f1561]) ).
fof(f5420,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5419,f218]) ).
fof(f5421,plain,
( ~ sQ88_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f5420]) ).
fof(f5427,plain,
( ~ sQ140_spl
| ~ sQ239_spl
| h1(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f5323,f5325]) ).
fof(f5430,plain,
( ~ sQ223_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f5170,f1647,f2042]) ).
fof(f5469,plain,
( ~ sQ252_spl
| e21 = op2(e21,h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f2191,f3168]) ).
fof(f5470,plain,
( ~ sQ252_spl
| h2(e11) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f2191,f3167]) ).
fof(f5522,plain,
( ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3835,f1407,f1446]) ).
fof(f5523,plain,
( ~ sQ163_spl
| ~ sQ257_spl
| ~ sQ252_spl
| e22 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2191,f4927]) ).
fof(f5530,plain,
( ~ sQ163_spl
| ~ sQ257_spl
| ~ sQ252_spl
| e22 = h2(e13) ),
inference(forward_demodulation,[status(thm)],[f279,f5523]) ).
fof(f5533,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3840,f1274,f1248]) ).
fof(f5546,plain,
( ~ sQ88_spl
| op2(e20,e22) != e20 ),
inference(backward_demodulation,[status(thm)],[f1561,f176]) ).
fof(f5557,plain,
( ~ sQ181_spl
| h3(op1(e10,e13)) = op2(e20,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f3175,f1910]) ).
fof(f5558,plain,
( ~ sQ181_spl
| h3(op1(e10,e13)) = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3178,f5557]) ).
fof(f5560,plain,
( ~ sQ181_spl
| ~ sQ78_spl
| h3(op1(e10,e13)) = e22 ),
inference(backward_demodulation,[status(thm)],[f1528,f5558]) ).
fof(f5565,plain,
( ~ sQ122_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f3310,f1644,f1670]) ).
fof(f5572,plain,
( ~ sQ122_spl
| op2(e20,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f1671,f178]) ).
fof(f5579,plain,
( ~ sQ4_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f4099,f1411,f1255]) ).
fof(f5582,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1256,f1265]) ).
fof(f5583,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5582,f214]) ).
fof(f5584,plain,
( ~ sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f5583]) ).
fof(f5585,plain,
( ~ sQ57_spl
| op1(e13,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f1428,f161]) ).
fof(f5596,plain,
( ~ sQ52_spl
| op1(e13,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f1412,f158]) ).
fof(f5623,plain,
( ~ sQ102_spl
| ~ sQ163_spl
| ~ sQ257_spl
| ~ sQ252_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f5530,f4258]) ).
fof(f5624,plain,
( ~ sQ102_spl
| ~ sQ163_spl
| ~ sQ257_spl
| ~ sQ252_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5623]) ).
fof(f5625,plain,
( ~ sQ102_spl
| ~ sQ163_spl
| ~ sQ257_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f5624]) ).
fof(f5633,plain,
( ~ sQ83_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f5136,f1896,f1543]) ).
fof(f5659,plain,
( ~ sQ181_spl
| ~ sQ78_spl
| ~ sQ13_spl
| h3(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f1285,f5560]) ).
fof(f5660,plain,
( ~ sQ181_spl
| ~ sQ78_spl
| ~ sQ13_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f3177,f5659]) ).
fof(f5661,plain,
( ~ sQ181_spl
| ~ sQ78_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5660,f221]) ).
fof(f5662,plain,
( ~ sQ181_spl
| ~ sQ78_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f5661]) ).
fof(f5675,plain,
( ~ sQ26_spl
| op1(e10,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f1327,f128]) ).
fof(f5689,plain,
( ~ sQ31_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3371,f1290,f1342]) ).
fof(f5706,plain,
( ~ sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f4405,f1258,f1310]) ).
fof(f5722,plain,
( sQ190_spl
| ~ sQ115_spl
| ~ sQ51_spl
| h3(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f1408,f4003]) ).
fof(f5723,plain,
( sQ190_spl
| ~ sQ115_spl
| ~ sQ51_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3178,f5722]) ).
fof(f5724,plain,
( sQ190_spl
| ~ sQ115_spl
| ~ sQ51_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5723]) ).
fof(f5725,plain,
( sQ190_spl
| ~ sQ115_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f5724]) ).
fof(f5733,plain,
( sQ170_spl
| ~ sQ255_spl
| ~ sQ62_spl
| h2(e12) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f1444,f4947]) ).
fof(f5734,plain,
( sQ170_spl
| ~ sQ255_spl
| ~ sQ62_spl
| e21 != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f276,f5733]) ).
fof(f5735,plain,
( sQ168_spl
| ~ sQ52_spl
| h2(e10) != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1412,f1868]) ).
fof(f5738,plain,
( sQ167_spl
| ~ sQ85_spl
| ~ sQ51_spl
| h2(e13) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f1408,f4999]) ).
fof(f5746,plain,
( sQ156_spl
| ~ sQ7_spl
| h2(e13) != op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1265,f1832]) ).
fof(f5747,plain,
( sQ155_spl
| ~ sQ2_spl
| h2(e12) != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1249,f1829]) ).
fof(f5748,plain,
( sQ155_spl
| ~ sQ2_spl
| e21 != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f276,f5747]) ).
fof(f5749,plain,
( sQ147_spl
| ~ sQ62_spl
| h1(e12) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f1444,f1801]) ).
fof(f5750,plain,
( sQ147_spl
| ~ sQ62_spl
| e20 != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f272,f5749]) ).
fof(f5752,plain,
( sQ146_spl
| ~ sQ57_spl
| h1(e11) != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f1428,f3264]) ).
fof(f5753,plain,
( sQ145_spl
| ~ sQ52_spl
| h1(e10) != op2(h1(e13),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1412,f1795]) ).
fof(f5756,plain,
( sQ144_spl
| ~ sQ51_spl
| h1(e13) != op2(h1(e13),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1408,f1792]) ).
fof(f5761,plain,
( sQ136_spl
| ~ sQ16_spl
| h1(e10) != op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1295,f1768]) ).
fof(f5762,plain,
( sQ135_spl
| ~ sQ13_spl
| h1(e11) != op2(h1(e10),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f1285,f1765]) ).
fof(f5763,plain,
( sQ134_spl
| ~ sQ8_spl
| h1(e10) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f1269,f3279]) ).
fof(f5764,plain,
( sQ133_spl
| ~ sQ7_spl
| h1(e13) != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1265,f1759]) ).
fof(f5765,plain,
( sQ132_spl
| ~ sQ2_spl
| h1(e12) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1249,f1756]) ).
fof(f5766,plain,
( sQ132_spl
| ~ sQ2_spl
| e20 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f272,f5765]) ).
fof(f5767,plain,
( sQ205_spl
| ~ sQ16_spl
| h4(e10) != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1295,f1987]) ).
fof(f5769,plain,
( sQ215_spl
| ~ sQ57_spl
| h4(e11) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f1428,f3187]) ).
fof(f5770,plain,
( sQ203_spl
| ~ sQ8_spl
| h4(e10) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f1269,f3202]) ).
fof(f5771,plain,
( sQ156_spl
| ~ sQ7_spl
| ~ sQ85_spl
| e21 != op2(h2(e10),h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f4504,f5746]) ).
fof(f5774,plain,
( sQ162_spl
| ~ sQ31_spl
| ~ sQ255_spl
| ~ sQ85_spl
| e21 != op2(h2(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f4504,f5097]) ).
fof(f5776,plain,
( sQ167_spl
| ~ sQ85_spl
| ~ sQ51_spl
| e21 != h2(e11) ),
inference(backward_demodulation,[status(thm)],[f4504,f5738]) ).
fof(f5779,plain,
( sQ168_spl
| ~ sQ52_spl
| ~ sQ85_spl
| h2(e10) != op2(e21,h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f4504,f5735]) ).
fof(f5780,plain,
( sQ170_spl
| ~ sQ255_spl
| ~ sQ62_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4504,f5734]) ).
fof(f5784,plain,
( ~ sQ85_spl
| e21 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f4504,f3169]) ).
fof(f5792,plain,
( sQ155_spl
| ~ sQ2_spl
| ~ sQ255_spl
| e21 != op2(h2(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f5148,f5748]) ).
fof(f5810,plain,
( sQ169_spl
| ~ sQ57_spl
| h2(e11) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f1428,f3248]) ).
fof(f5820,plain,
( sQ180_spl
| ~ sQ8_spl
| h3(e10) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1269,f3242]) ).
fof(f5821,plain,
( sQ180_spl
| ~ sQ8_spl
| e20 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f3175,f5820]) ).
fof(f5822,plain,
( ~ sQ181_spl
| ~ sQ13_spl
| h3(e11) = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1285,f5558]) ).
fof(f5825,plain,
( ~ sQ181_spl
| ~ sQ13_spl
| e21 = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3177,f5822]) ).
fof(f5830,plain,
( ~ sQ115_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f4017,f1660,f1647]) ).
fof(f5848,plain,
( sQ214_spl
| ~ sQ52_spl
| h4(e10) != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1412,f2014]) ).
fof(f5852,plain,
( sQ158_spl
| ~ sQ13_spl
| h2(e11) != op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1285,f1838]) ).
fof(f5853,plain,
( sQ158_spl
| ~ sQ13_spl
| ~ sQ255_spl
| h2(e11) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f5148,f5852]) ).
fof(f5854,plain,
( sQ158_spl
| ~ sQ13_spl
| ~ sQ255_spl
| ~ sQ85_spl
| h2(e11) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4504,f5853]) ).
fof(f5857,plain,
( sQ216_spl
| ~ sQ62_spl
| h4(e12) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1444,f2020]) ).
fof(f5858,plain,
( sQ216_spl
| ~ sQ62_spl
| e23 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f284,f5857]) ).
fof(f5860,plain,
( sQ201_spl
| ~ sQ2_spl
| h4(e12) != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1249,f1975]) ).
fof(f5861,plain,
( sQ201_spl
| ~ sQ2_spl
| e23 != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f284,f5860]) ).
fof(f5862,plain,
( sQ193_spl
| ~ sQ62_spl
| h3(e12) != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f1444,f3205]) ).
fof(f5863,plain,
( sQ193_spl
| ~ sQ62_spl
| e22 != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f280,f5862]) ).
fof(f5864,plain,
( sQ213_spl
| ~ sQ51_spl
| h4(e13) != op2(h4(e13),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1408,f2011]) ).
fof(f5865,plain,
( sQ178_spl
| ~ sQ2_spl
| h3(e12) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f1249,f3247]) ).
fof(f5866,plain,
( sQ178_spl
| ~ sQ2_spl
| e22 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f280,f5865]) ).
fof(f5872,plain,
( sQ182_spl
| ~ sQ16_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f3756,f1534,f1294,f1912]) ).
fof(f5880,plain,
( sQ158_spl
| ~ sQ13_spl
| ~ sQ255_spl
| ~ sQ85_spl
| ~ sQ252_spl
| h2(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f5881,f5854]) ).
fof(f5881,plain,
( ~ sQ252_spl
| ~ sQ85_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4504,f5469]) ).
fof(f5882,plain,
( sQ164_spl
| ~ sQ38_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f5888,f4605]) ).
fof(f5884,plain,
( sQ160_spl
| ~ sQ21_spl
| ~ sQ252_spl
| ~ sQ85_spl
| h2(e11) != op2(h2(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f5888,f4594]) ).
fof(f5888,plain,
( ~ sQ252_spl
| ~ sQ85_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f5881,f5470]) ).
fof(f5889,plain,
( ~ sQ84_spl
| ~ sQ165_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f3717,f2185,f1857,f1547]) ).
fof(f5894,plain,
( ~ sQ82_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3282,f1566,f1540]) ).
fof(f5902,plain,
( sQ191_spl
| ~ sQ52_spl
| h3(e10) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1412,f3209]) ).
fof(f5903,plain,
( sQ191_spl
| ~ sQ52_spl
| e20 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3175,f5902]) ).
fof(f5908,plain,
( sQ253_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5888,f2196]) ).
fof(f5909,plain,
( sQ253_spl
| ~ sQ252_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5908]) ).
fof(f5910,plain,
( sQ253_spl
| ~ sQ252_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f5909]) ).
fof(f5918,plain,
( ~ sQ66_spl
| h1(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f1489,f275]) ).
fof(f5919,plain,
( ~ sQ66_spl
| sQ178_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5918,f5866]) ).
fof(f5920,plain,
( ~ sQ66_spl
| sQ178_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f5919]) ).
fof(f5928,plain,
( ~ sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3426,f1264,f1277]) ).
fof(f5929,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1269,f1278]) ).
fof(f5930,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5929,f214]) ).
fof(f5931,plain,
( ~ sQ11_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f5930]) ).
fof(f5934,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3398,f1365,f1417]) ).
fof(f5943,plain,
( sQ156_spl
| ~ sQ7_spl
| ~ sQ85_spl
| ~ sQ255_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f5148,f5771]) ).
fof(f5944,plain,
( sQ156_spl
| ~ sQ7_spl
| ~ sQ85_spl
| ~ sQ255_spl
| ~ sQ252_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5888,f5943]) ).
fof(f5945,plain,
( sQ156_spl
| ~ sQ7_spl
| ~ sQ85_spl
| ~ sQ255_spl
| ~ sQ252_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5881,f5944]) ).
fof(f5946,plain,
( sQ156_spl
| ~ sQ7_spl
| ~ sQ85_spl
| ~ sQ255_spl
| ~ sQ252_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5945]) ).
fof(f5947,plain,
( sQ156_spl
| ~ sQ7_spl
| ~ sQ85_spl
| ~ sQ255_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f5946]) ).
fof(f5948,plain,
( sQ162_spl
| ~ sQ31_spl
| ~ sQ255_spl
| ~ sQ85_spl
| ~ sQ252_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5888,f5774]) ).
fof(f5949,plain,
( sQ162_spl
| ~ sQ31_spl
| ~ sQ255_spl
| ~ sQ85_spl
| ~ sQ252_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5881,f5948]) ).
fof(f5950,plain,
( sQ162_spl
| ~ sQ31_spl
| ~ sQ255_spl
| ~ sQ85_spl
| ~ sQ252_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5949]) ).
fof(f5951,plain,
( sQ162_spl
| ~ sQ31_spl
| ~ sQ255_spl
| ~ sQ85_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f5950]) ).
fof(f5952,plain,
( sQ167_spl
| ~ sQ85_spl
| ~ sQ51_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f5776,f2194,f1407,f1550,f1863]) ).
fof(f5958,plain,
( sQ168_spl
| ~ sQ52_spl
| ~ sQ85_spl
| ~ sQ255_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f5148,f5779]) ).
fof(f5959,plain,
( sQ168_spl
| ~ sQ52_spl
| ~ sQ85_spl
| ~ sQ255_spl
| ~ sQ252_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5888,f5958]) ).
fof(f5960,plain,
( sQ168_spl
| ~ sQ52_spl
| ~ sQ85_spl
| ~ sQ255_spl
| ~ sQ252_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5881,f5959]) ).
fof(f5961,plain,
( sQ168_spl
| ~ sQ52_spl
| ~ sQ85_spl
| ~ sQ255_spl
| ~ sQ252_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5960]) ).
fof(f5962,plain,
( sQ168_spl
| ~ sQ52_spl
| ~ sQ85_spl
| ~ sQ255_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f5961]) ).
fof(f5963,plain,
( sQ170_spl
| ~ sQ255_spl
| ~ sQ62_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f5780,f1550,f1443,f2202,f1872]) ).
fof(f5969,plain,
( ~ sQ85_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f5784,f1576,f1550]) ).
fof(f5970,plain,
( sQ155_spl
| ~ sQ2_spl
| ~ sQ255_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5148,f5792]) ).
fof(f5971,plain,
( sQ155_spl
| ~ sQ2_spl
| ~ sQ255_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5881,f5970]) ).
fof(f5972,plain,
( sQ155_spl
| ~ sQ2_spl
| ~ sQ255_spl
| ~ sQ252_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5971]) ).
fof(f5973,plain,
( sQ155_spl
| ~ sQ2_spl
| ~ sQ255_spl
| ~ sQ252_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f5972]) ).
fof(f5979,plain,
( sQ64_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f4976,f2134,f1482]) ).
fof(f5988,plain,
( sQ158_spl
| ~ sQ13_spl
| ~ sQ255_spl
| ~ sQ85_spl
| ~ sQ252_spl
| ~ sQ253_spl ),
inference(split_clause,[status(thm)],[f5880,f2194,f2190,f1550,f2202,f1284,f1836]) ).
fof(f5989,plain,
( sQ164_spl
| ~ sQ38_spl
| ~ sQ252_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f5882,f1550,f2190,f1365,f1854]) ).
fof(f5990,plain,
( sQ160_spl
| ~ sQ21_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f5888,f5884]) ).
fof(f5991,plain,
( sQ160_spl
| ~ sQ21_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5888,f5990]) ).
fof(f5992,plain,
( sQ160_spl
| ~ sQ21_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5881,f5991]) ).
fof(f5993,plain,
( sQ160_spl
| ~ sQ21_spl
| ~ sQ252_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5992]) ).
fof(f5994,plain,
( sQ160_spl
| ~ sQ21_spl
| ~ sQ252_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f5993]) ).
fof(f5999,plain,
( sQ192_spl
| ~ sQ57_spl
| h3(e11) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1428,f3207]) ).
fof(f6000,plain,
( sQ192_spl
| ~ sQ57_spl
| e21 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3177,f5999]) ).
fof(f6002,plain,
( ~ sQ182_spl
| ~ sQ16_spl
| h3(e10) = op2(h3(e11),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1295,f1913]) ).
fof(f6003,plain,
( ~ sQ182_spl
| ~ sQ16_spl
| e20 = op2(h3(e11),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3175,f6002]) ).
fof(f6004,plain,
( ~ sQ182_spl
| ~ sQ16_spl
| e20 = op2(e21,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3177,f6003]) ).
fof(f6006,plain,
( ~ sQ182_spl
| ~ sQ16_spl
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3175,f6004]) ).
fof(f6008,plain,
( sQ180_spl
| ~ sQ8_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f5821,f1508,f1268,f1906]) ).
fof(f6014,plain,
( ~ sQ72_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f4801,f1664,f1508]) ).
fof(f6015,plain,
( ~ sQ72_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f4891,f1495,f1508]) ).
fof(f6016,plain,
( ~ sQ66_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f5918,f2168,f1488]) ).
fof(f6030,plain,
( ~ sQ68_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f4452,f1521,f1495]) ).
fof(f6049,plain,
( ~ sQ122_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f5572,f1514,f1670]) ).
fof(f6078,plain,
( sQ80_spl
| ~ sQ182_spl
| ~ sQ16_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6006,f1536]) ).
fof(f6079,plain,
( sQ80_spl
| ~ sQ182_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6078]) ).
fof(f6080,plain,
( sQ80_spl
| ~ sQ182_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f6079]) ).
fof(f6083,plain,
( sQ179_spl
| ~ sQ7_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f4454,f1504,f1264,f1903]) ).
fof(f6102,plain,
( sQ191_spl
| ~ sQ52_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f5903,f1651,f1411,f1939]) ).
fof(f6107,plain,
( ~ sQ116_spl
| h2(e13) != e20 ),
inference(backward_demodulation,[status(thm)],[f1652,f3172]) ).
fof(f6114,plain,
( sQ192_spl
| ~ sQ57_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f6000,f1667,f1427,f1942]) ).
fof(f6121,plain,
( ~ sQ126_spl
| e22 = h4(e13) ),
inference(forward_demodulation,[status(thm)],[f287,f3492]) ).
fof(f6122,plain,
( ~ sQ126_spl
| sQ193_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6121,f5863]) ).
fof(f6123,plain,
( ~ sQ126_spl
| sQ193_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f6122]) ).
fof(f6133,plain,
( ~ sQ212_spl
| ~ sQ283_spl
| h4(e10) = op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f2322,f4451]) ).
fof(f6135,plain,
( ~ sQ283_spl
| e22 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f2322,f287]) ).
fof(f6137,plain,
( sQ215_spl
| ~ sQ57_spl
| ~ sQ283_spl
| h4(e11) != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f2322,f5769]) ).
fof(f6142,plain,
( ~ sQ85_spl
| e21 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4504,f279]) ).
fof(f6145,plain,
( ~ sQ85_spl
| h2(e10) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4504,f3168]) ).
fof(f6280,plain,
( ~ sQ140_spl
| ~ sQ241_spl
| e21 = op2(e20,h1(e10)) ),
inference(backward_demodulation,[status(thm)],[f6285,f3697]) ).
fof(f6285,plain,
( ~ sQ140_spl
| ~ sQ241_spl
| e21 = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f3697,f4957]) ).
fof(f6306,plain,
( ~ sQ95_spl
| sQ185_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1583,f5089]) ).
fof(f6307,plain,
( ~ sQ95_spl
| sQ185_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f6306]) ).
fof(f6308,plain,
( ~ sQ77_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f3729,f1498,f1524]) ).
fof(f6311,plain,
( ~ sQ247_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f3595,f1488,f2168]) ).
fof(f6318,plain,
( ~ sQ76_spl
| ~ sQ181_spl
| ~ sQ13_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f5825,f1522]) ).
fof(f6319,plain,
( ~ sQ76_spl
| ~ sQ181_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6318,f218]) ).
fof(f6320,plain,
( ~ sQ76_spl
| ~ sQ181_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f6319]) ).
fof(f6336,plain,
( ~ sQ64_spl
| h1(e10) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f4745,f3161]) ).
fof(f6341,plain,
( ~ sQ64_spl
| h1(e10) = h1(e13) ),
inference(forward_demodulation,[status(thm)],[f275,f5259]) ).
fof(f6343,plain,
( ~ sQ64_spl
| h1(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f4745,f6341]) ).
fof(f6378,plain,
( ~ sQ177_spl
| h2(e10) = op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f6385,f3168]) ).
fof(f6385,plain,
( ~ sQ177_spl
| e23 = h2(e13) ),
inference(forward_demodulation,[status(thm)],[f279,f4263]) ).
fof(f6389,plain,
( ~ sQ273_spl
| e20 = h4(e11) ),
inference(forward_demodulation,[status(thm)],[f3179,f3915]) ).
fof(f6391,plain,
( ~ sQ191_spl
| ~ sQ52_spl
| h3(e10) = op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1412,f1940]) ).
fof(f6392,plain,
( ~ sQ191_spl
| ~ sQ52_spl
| e20 = op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f3175,f6391]) ).
fof(f6393,plain,
( ~ sQ191_spl
| ~ sQ52_spl
| e20 = op2(e23,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f3178,f6392]) ).
fof(f6398,plain,
( ~ sQ191_spl
| ~ sQ52_spl
| e20 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3177,f6393]) ).
fof(f6399,plain,
( ~ sQ193_spl
| ~ sQ62_spl
| h3(e12) = op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1444,f1946]) ).
fof(f6400,plain,
( ~ sQ193_spl
| ~ sQ62_spl
| e22 = op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f280,f6399]) ).
fof(f6401,plain,
( ~ sQ193_spl
| ~ sQ62_spl
| e22 = op2(e23,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f3178,f6400]) ).
fof(f6402,plain,
( ~ sQ193_spl
| ~ sQ62_spl
| e22 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3178,f6401]) ).
fof(f6407,plain,
( ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| h4(e10) = op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f6410,f4451]) ).
fof(f6410,plain,
( ~ sQ193_spl
| ~ sQ62_spl
| e22 = h4(e13) ),
inference(forward_demodulation,[status(thm)],[f287,f6402]) ).
fof(f6413,plain,
( ~ sQ163_spl
| ~ sQ249_spl
| e20 = op2(e21,h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f6414,f3167]) ).
fof(f6414,plain,
( ~ sQ163_spl
| ~ sQ249_spl
| e20 = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f3167,f3691]) ).
fof(f6441,plain,
( ~ sQ140_spl
| ~ sQ239_spl
| ~ sQ245_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f3964,f5427]) ).
fof(f6442,plain,
( ~ sQ140_spl
| ~ sQ239_spl
| ~ sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6441,f219]) ).
fof(f6443,plain,
( ~ sQ140_spl
| ~ sQ239_spl
| ~ sQ245_spl ),
inference(contradiction_clause,[status(thm)],[f6442]) ).
fof(f6464,plain,
( ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| h4(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f1668,f6133]) ).
fof(f6465,plain,
( ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6464,f2294]) ).
fof(f6466,plain,
( ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f6465]) ).
fof(f6474,plain,
( sQ254_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f276,f2200]) ).
fof(f6475,plain,
( sQ254_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6474]) ).
fof(f6476,plain,
sQ254_spl,
inference(contradiction_clause,[status(thm)],[f6475]) ).
fof(f6481,plain,
( ~ sQ64_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6343,f6336]) ).
fof(f6498,plain,
( ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| h4(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f1668,f6407]) ).
fof(f6501,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| e21 != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f6498,f5770]) ).
fof(f6502,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f6498,f6501]) ).
fof(f6503,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ93_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1577,f6502]) ).
fof(f6504,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ93_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6503]) ).
fof(f6505,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f6504]) ).
fof(f6506,plain,
( sQ147_spl
| ~ sQ62_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f4745,f5750]) ).
fof(f6507,plain,
( sQ147_spl
| ~ sQ62_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4745,f6506]) ).
fof(f6508,plain,
( sQ147_spl
| ~ sQ62_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6507]) ).
fof(f6509,plain,
( sQ147_spl
| ~ sQ62_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6508]) ).
fof(f6510,plain,
( sQ147_spl
| ~ sQ62_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f6509]) ).
fof(f6511,plain,
( ~ sQ140_spl
| ~ sQ241_spl
| ~ sQ64_spl
| e21 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6343,f6280]) ).
fof(f6512,plain,
( ~ sQ140_spl
| ~ sQ241_spl
| ~ sQ64_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6511]) ).
fof(f6513,plain,
( ~ sQ140_spl
| ~ sQ241_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6512,f218]) ).
fof(f6514,plain,
( ~ sQ140_spl
| ~ sQ241_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f6513]) ).
fof(f6515,plain,
( ~ sQ140_spl
| ~ sQ64_spl
| h1(e11) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6343,f3697]) ).
fof(f6516,plain,
( ~ sQ140_spl
| ~ sQ64_spl
| h1(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6515]) ).
fof(f6518,plain,
( sQ66_spl
| ~ sQ143_spl
| ~ sQ64_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f4767,f2156,f1482,f1787,f1488]) ).
fof(f6523,plain,
( sQ146_spl
| ~ sQ57_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f6516,f5752]) ).
fof(f6524,plain,
( sQ146_spl
| ~ sQ57_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4745,f6523]) ).
fof(f6525,plain,
( sQ146_spl
| ~ sQ57_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6524]) ).
fof(f6526,plain,
( sQ146_spl
| ~ sQ57_spl
| ~ sQ140_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6525]) ).
fof(f6527,plain,
( sQ146_spl
| ~ sQ57_spl
| ~ sQ140_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f6526]) ).
fof(f6528,plain,
( sQ145_spl
| ~ sQ52_spl
| ~ sQ64_spl
| e20 != op2(h1(e13),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6343,f5753]) ).
fof(f6529,plain,
( sQ145_spl
| ~ sQ52_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f4745,f6528]) ).
fof(f6530,plain,
( sQ145_spl
| ~ sQ52_spl
| ~ sQ64_spl
| ~ sQ140_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6516,f6529]) ).
fof(f6531,plain,
( sQ145_spl
| ~ sQ52_spl
| ~ sQ64_spl
| ~ sQ140_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6530]) ).
fof(f6532,plain,
( sQ145_spl
| ~ sQ52_spl
| ~ sQ64_spl
| ~ sQ140_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6531]) ).
fof(f6533,plain,
( sQ145_spl
| ~ sQ52_spl
| ~ sQ64_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f6532]) ).
fof(f6534,plain,
( sQ144_spl
| ~ sQ51_spl
| ~ sQ64_spl
| e20 != op2(h1(e13),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f4745,f5756]) ).
fof(f6535,plain,
( sQ144_spl
| ~ sQ51_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f4745,f6534]) ).
fof(f6536,plain,
( sQ144_spl
| ~ sQ51_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6343,f6535]) ).
fof(f6537,plain,
( sQ144_spl
| ~ sQ51_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6536]) ).
fof(f6538,plain,
( sQ144_spl
| ~ sQ51_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6537]) ).
fof(f6539,plain,
( sQ144_spl
| ~ sQ51_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f6538]) ).
fof(f6540,plain,
( sQ136_spl
| ~ sQ16_spl
| ~ sQ64_spl
| e20 != op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f6343,f5761]) ).
fof(f6541,plain,
( sQ136_spl
| ~ sQ16_spl
| ~ sQ64_spl
| ~ sQ140_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f6516,f6540]) ).
fof(f6542,plain,
( sQ136_spl
| ~ sQ16_spl
| ~ sQ64_spl
| ~ sQ140_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6343,f6541]) ).
fof(f6543,plain,
( sQ136_spl
| ~ sQ16_spl
| ~ sQ64_spl
| ~ sQ140_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6542]) ).
fof(f6544,plain,
( sQ136_spl
| ~ sQ16_spl
| ~ sQ64_spl
| ~ sQ140_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6543]) ).
fof(f6545,plain,
( sQ136_spl
| ~ sQ16_spl
| ~ sQ64_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f6544]) ).
fof(f6546,plain,
( sQ135_spl
| ~ sQ13_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f6516,f5762]) ).
fof(f6547,plain,
( sQ135_spl
| ~ sQ13_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f6343,f6546]) ).
fof(f6548,plain,
( sQ135_spl
| ~ sQ13_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4745,f6547]) ).
fof(f6549,plain,
( sQ135_spl
| ~ sQ13_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6548]) ).
fof(f6550,plain,
( sQ135_spl
| ~ sQ13_spl
| ~ sQ140_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6549]) ).
fof(f6551,plain,
( sQ135_spl
| ~ sQ13_spl
| ~ sQ140_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f6550]) ).
fof(f6552,plain,
( sQ134_spl
| ~ sQ8_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f6343,f5763]) ).
fof(f6553,plain,
( sQ134_spl
| ~ sQ8_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6343,f6552]) ).
fof(f6554,plain,
( sQ134_spl
| ~ sQ8_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6553]) ).
fof(f6555,plain,
( sQ134_spl
| ~ sQ8_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6554]) ).
fof(f6556,plain,
( sQ134_spl
| ~ sQ8_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f6555]) ).
fof(f6557,plain,
( sQ133_spl
| ~ sQ7_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f4745,f5764]) ).
fof(f6558,plain,
( sQ133_spl
| ~ sQ7_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6343,f6557]) ).
fof(f6559,plain,
( sQ133_spl
| ~ sQ7_spl
| ~ sQ64_spl
| ~ sQ140_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6516,f6558]) ).
fof(f6560,plain,
( sQ133_spl
| ~ sQ7_spl
| ~ sQ64_spl
| ~ sQ140_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6559]) ).
fof(f6561,plain,
( sQ133_spl
| ~ sQ7_spl
| ~ sQ64_spl
| ~ sQ140_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6560]) ).
fof(f6562,plain,
( sQ133_spl
| ~ sQ7_spl
| ~ sQ64_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f6561]) ).
fof(f6563,plain,
( sQ132_spl
| ~ sQ2_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f6343,f5766]) ).
fof(f6564,plain,
( sQ132_spl
| ~ sQ2_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6343,f6563]) ).
fof(f6565,plain,
( sQ132_spl
| ~ sQ2_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6564]) ).
fof(f6566,plain,
( sQ132_spl
| ~ sQ2_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6565]) ).
fof(f6567,plain,
( sQ132_spl
| ~ sQ2_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f6566]) ).
fof(f6577,plain,
( ~ sQ177_spl
| ~ sQ93_spl
| h2(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f1577,f6378]) ).
fof(f6578,plain,
( sQ252_spl
| ~ sQ177_spl
| ~ sQ93_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6577,f2192]) ).
fof(f6579,plain,
( sQ252_spl
| ~ sQ177_spl
| ~ sQ93_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6578]) ).
fof(f6580,plain,
( sQ252_spl
| ~ sQ177_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f6579]) ).
fof(f6582,plain,
( ~ sQ177_spl
| ~ sQ93_spl
| h2(e11) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6577,f3167]) ).
fof(f6583,plain,
( ~ sQ177_spl
| ~ sQ93_spl
| ~ sQ165_spl
| ~ sQ87_spl
| h2(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f3894,f6582]) ).
fof(f6623,plain,
( sQ137_spl
| ~ sQ21_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6516,f4781]) ).
fof(f6624,plain,
( sQ137_spl
| ~ sQ21_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6516,f6623]) ).
fof(f6625,plain,
( sQ137_spl
| ~ sQ21_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6516,f6624]) ).
fof(f6626,plain,
( sQ137_spl
| ~ sQ21_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6625]) ).
fof(f6627,plain,
( sQ137_spl
| ~ sQ21_spl
| ~ sQ140_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6626]) ).
fof(f6628,plain,
( sQ137_spl
| ~ sQ21_spl
| ~ sQ140_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f6627]) ).
fof(f6629,plain,
( sQ138_spl
| ~ sQ26_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6516,f5061]) ).
fof(f6630,plain,
( sQ138_spl
| ~ sQ26_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6629]) ).
fof(f6631,plain,
( sQ138_spl
| ~ sQ26_spl
| ~ sQ140_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6630]) ).
fof(f6632,plain,
( sQ138_spl
| ~ sQ26_spl
| ~ sQ140_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f6631]) ).
fof(f6633,plain,
( sQ139_spl
| ~ sQ31_spl
| ~ sQ64_spl
| e20 != op2(h1(e11),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f4745,f4189]) ).
fof(f6634,plain,
( sQ139_spl
| ~ sQ31_spl
| ~ sQ64_spl
| ~ sQ140_spl
| e20 != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f6516,f6633]) ).
fof(f6635,plain,
( sQ139_spl
| ~ sQ31_spl
| ~ sQ64_spl
| ~ sQ140_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4745,f6634]) ).
fof(f6636,plain,
( sQ139_spl
| ~ sQ31_spl
| ~ sQ64_spl
| ~ sQ140_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6635]) ).
fof(f6637,plain,
( sQ139_spl
| ~ sQ31_spl
| ~ sQ64_spl
| ~ sQ140_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6636]) ).
fof(f6638,plain,
( sQ139_spl
| ~ sQ31_spl
| ~ sQ64_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f6637]) ).
fof(f6641,plain,
( sQ210_spl
| ~ sQ38_spl
| ~ sQ273_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f6389,f4250]) ).
fof(f6642,plain,
( sQ210_spl
| ~ sQ38_spl
| ~ sQ273_spl
| ~ sQ115_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1648,f6641]) ).
fof(f6643,plain,
( sQ210_spl
| ~ sQ38_spl
| ~ sQ273_spl
| ~ sQ115_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6642]) ).
fof(f6644,plain,
( sQ210_spl
| ~ sQ38_spl
| ~ sQ273_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f6643]) ).
fof(f6694,plain,
( sQ175_spl
| ~ sQ177_spl
| ~ sQ93_spl
| ~ sQ165_spl
| ~ sQ87_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f6583,f1890]) ).
fof(f6695,plain,
( sQ175_spl
| ~ sQ177_spl
| ~ sQ93_spl
| ~ sQ165_spl
| ~ sQ87_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6694]) ).
fof(f6696,plain,
( sQ175_spl
| ~ sQ177_spl
| ~ sQ93_spl
| ~ sQ165_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f6695]) ).
fof(f6699,plain,
( ~ sQ163_spl
| ~ sQ249_spl
| ~ sQ177_spl
| ~ sQ93_spl
| e20 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6577,f6413]) ).
fof(f6700,plain,
( ~ sQ163_spl
| ~ sQ249_spl
| ~ sQ177_spl
| ~ sQ93_spl
| ~ sQ165_spl
| ~ sQ87_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f3894,f6699]) ).
fof(f6701,plain,
( ~ sQ163_spl
| ~ sQ249_spl
| ~ sQ177_spl
| ~ sQ93_spl
| ~ sQ165_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6700,f220]) ).
fof(f6702,plain,
( ~ sQ163_spl
| ~ sQ249_spl
| ~ sQ177_spl
| ~ sQ93_spl
| ~ sQ165_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f6701]) ).
fof(f6715,plain,
( ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| h4(e11) = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f6498,f3179]) ).
fof(f6718,plain,
( ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| h4(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f6398,f6715]) ).
fof(f6719,plain,
( sQ273_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6718,f2281]) ).
fof(f6720,plain,
( sQ273_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6719]) ).
fof(f6721,plain,
( sQ273_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f6720]) ).
fof(f6722,plain,
( sQ206_spl
| ~ sQ21_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| e20 != op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f6718,f4474]) ).
fof(f6723,plain,
( sQ206_spl
| ~ sQ21_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| e20 != op2(e20,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f6718,f6722]) ).
fof(f6724,plain,
( sQ206_spl
| ~ sQ21_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6718,f6723]) ).
fof(f6725,plain,
( sQ206_spl
| ~ sQ21_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6724]) ).
fof(f6726,plain,
( sQ206_spl
| ~ sQ21_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6725]) ).
fof(f6727,plain,
( sQ206_spl
| ~ sQ21_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f6726]) ).
fof(f6734,plain,
( sQ205_spl
| ~ sQ16_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| e21 != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f6498,f5767]) ).
fof(f6735,plain,
( sQ205_spl
| ~ sQ16_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| e21 != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f6718,f6734]) ).
fof(f6736,plain,
( sQ205_spl
| ~ sQ16_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f6498,f6735]) ).
fof(f6737,plain,
( sQ205_spl
| ~ sQ16_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| ~ sQ69_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1499,f6736]) ).
fof(f6738,plain,
( sQ205_spl
| ~ sQ16_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6737]) ).
fof(f6739,plain,
( sQ205_spl
| ~ sQ16_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f6738]) ).
fof(f6744,plain,
( sQ215_spl
| ~ sQ57_spl
| ~ sQ283_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f6718,f6137]) ).
fof(f6745,plain,
( sQ215_spl
| ~ sQ57_spl
| ~ sQ283_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3154,f6744]) ).
fof(f6746,plain,
( sQ215_spl
| ~ sQ57_spl
| ~ sQ283_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6745]) ).
fof(f6747,plain,
( sQ215_spl
| ~ sQ57_spl
| ~ sQ283_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f6746]) ).
fof(f6751,plain,
( sQ141_spl
| ~ sQ38_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6516,f4279]) ).
fof(f6752,plain,
( sQ141_spl
| ~ sQ38_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f6751]) ).
fof(f6753,plain,
( sQ141_spl
| ~ sQ38_spl
| ~ sQ140_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6752]) ).
fof(f6754,plain,
( sQ141_spl
| ~ sQ38_spl
| ~ sQ140_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f6753]) ).
fof(f6755,plain,
( sQ214_spl
| ~ sQ52_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| e21 != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f6498,f5848]) ).
fof(f6756,plain,
( sQ214_spl
| ~ sQ52_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| e21 != op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f6410,f6755]) ).
fof(f6757,plain,
( sQ214_spl
| ~ sQ52_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| e21 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f6718,f6756]) ).
fof(f6758,plain,
( sQ214_spl
| ~ sQ52_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3153,f6757]) ).
fof(f6759,plain,
( sQ214_spl
| ~ sQ52_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6758]) ).
fof(f6760,plain,
( sQ214_spl
| ~ sQ52_spl
| ~ sQ212_spl
| ~ sQ193_spl
| ~ sQ62_spl
| ~ sQ121_spl
| ~ sQ191_spl ),
inference(contradiction_clause,[status(thm)],[f6759]) ).
fof(f6761,plain,
( sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3161,f3806]) ).
fof(f6762,plain,
sQ143_spl,
inference(contradiction_clause,[status(thm)],[f6761]) ).
fof(f6765,plain,
( ~ sQ85_spl
| h2(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f6142,f6145]) ).
fof(f6775,plain,
( ~ sQ248_spl
| ~ sQ85_spl
| e20 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4504,f4133]) ).
fof(f6776,plain,
( ~ sQ248_spl
| ~ sQ85_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f6142,f6775]) ).
fof(f6777,plain,
( ~ sQ248_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6776,f218]) ).
fof(f6778,plain,
( ~ sQ248_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f6777]) ).
fof(f6779,plain,
( ~ sQ175_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f5888,f1889]) ).
fof(f6780,plain,
( ~ sQ175_spl
| ~ sQ252_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6779,f222]) ).
fof(f6781,plain,
( ~ sQ175_spl
| ~ sQ252_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f6780]) ).
fof(f6813,plain,
( sQ161_spl
| ~ sQ252_spl
| ~ sQ85_spl
| h2(op1(e11,e12)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5888,f3262]) ).
fof(f6814,plain,
( sQ161_spl
| ~ sQ252_spl
| ~ sQ85_spl
| h2(op1(e11,e12)) != e21 ),
inference(forward_demodulation,[status(thm)],[f6142,f6813]) ).
fof(f6815,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f4967,f1320,f1294]) ).
fof(f6829,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1249,f1243]) ).
fof(f6830,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6829,f213]) ).
fof(f6831,plain,
( ~ sQ0_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f6830]) ).
fof(f6833,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f4108,f1281,f1242]) ).
fof(f6845,plain,
( sQ157_spl
| ~ sQ9_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f5888,f4087]) ).
fof(f6846,plain,
( sQ157_spl
| ~ sQ9_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6765,f6845]) ).
fof(f6847,plain,
( sQ157_spl
| ~ sQ9_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6142,f6846]) ).
fof(f6848,plain,
( sQ157_spl
| ~ sQ9_spl
| ~ sQ252_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6847]) ).
fof(f6849,plain,
( sQ157_spl
| ~ sQ9_spl
| ~ sQ252_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f6848]) ).
fof(f6863,plain,
( ~ sQ61_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f4981,f1336,f1440]) ).
fof(f6865,plain,
( ~ sQ61_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f4349,f1414,f1440]) ).
fof(f6885,plain,
( ~ sQ66_spl
| e22 = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f6891,f275]) ).
fof(f6891,plain,
( ~ sQ66_spl
| h1(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f275,f1489]) ).
fof(f6908,plain,
( ~ sQ72_spl
| e20 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1509,f193]) ).
fof(f6919,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3392,f1274,f1430]) ).
fof(f6924,plain,
( ~ sQ140_spl
| ~ sQ240_spl
| ~ sQ71_spl
| h1(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f1505,f3958]) ).
fof(f6925,plain,
( ~ sQ140_spl
| ~ sQ240_spl
| ~ sQ71_spl
| sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6924,f1817]) ).
fof(f6926,plain,
( ~ sQ140_spl
| ~ sQ240_spl
| ~ sQ71_spl
| sQ152_spl ),
inference(contradiction_clause,[status(thm)],[f6925]) ).
fof(f6956,plain,
( ~ sQ66_spl
| h1(e10) = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f6891,f3161]) ).
fof(f6960,plain,
( ~ sQ140_spl
| ~ sQ66_spl
| ~ sQ72_spl
| h1(e11) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f6962,f3697]) ).
fof(f6962,plain,
( ~ sQ66_spl
| ~ sQ72_spl
| h1(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f1509,f6956]) ).
fof(f6964,plain,
( ~ sQ163_spl
| ~ sQ249_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f5888,f6414]) ).
fof(f6965,plain,
( ~ sQ163_spl
| ~ sQ249_spl
| ~ sQ252_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6964,f218]) ).
fof(f6966,plain,
( ~ sQ163_spl
| ~ sQ249_spl
| ~ sQ252_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f6965]) ).
fof(f6974,plain,
( ~ sQ276_spl
| h4(e11) = op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f2293,f3179]) ).
fof(f6980,plain,
( sQ203_spl
| ~ sQ276_spl
| h4(op1(e10,e12)) != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f2293,f3202]) ).
fof(f7018,plain,
( ~ sQ31_spl
| e13 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f1343,f138]) ).
fof(f7031,plain,
( sQ182_spl
| ~ sQ18_spl
| e22 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f280,f4165]) ).
fof(f7036,plain,
( sQ201_spl
| ~ sQ0_spl
| h4(e10) != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1243,f1975]) ).
fof(f7037,plain,
( sQ201_spl
| ~ sQ0_spl
| ~ sQ276_spl
| e21 != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2293,f7036]) ).
fof(f7038,plain,
( sQ201_spl
| ~ sQ0_spl
| ~ sQ276_spl
| e21 != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2293,f7037]) ).
fof(f7039,plain,
( sQ201_spl
| ~ sQ0_spl
| ~ sQ276_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2293,f7038]) ).
fof(f7040,plain,
( sQ201_spl
| ~ sQ0_spl
| ~ sQ276_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6142,f7039]) ).
fof(f7041,plain,
( sQ201_spl
| ~ sQ0_spl
| ~ sQ276_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7040]) ).
fof(f7042,plain,
( sQ201_spl
| ~ sQ0_spl
| ~ sQ276_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f7041]) ).
fof(f7048,plain,
( ~ sQ181_spl
| ~ sQ77_spl
| h3(op1(e10,e13)) = e21 ),
inference(forward_demodulation,[status(thm)],[f1525,f5558]) ).
fof(f7068,plain,
( ~ sQ8_spl
| e10 != op1(e10,e13) ),
inference(backward_demodulation,[status(thm)],[f1269,f145]) ).
fof(f7106,plain,
( ~ sQ140_spl
| ~ sQ66_spl
| ~ sQ72_spl
| ~ sQ152_spl
| e23 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1816,f6960]) ).
fof(f7107,plain,
( ~ sQ140_spl
| ~ sQ66_spl
| ~ sQ72_spl
| ~ sQ152_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f6885,f7106]) ).
fof(f7108,plain,
( ~ sQ140_spl
| ~ sQ66_spl
| ~ sQ72_spl
| ~ sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7107,f223]) ).
fof(f7109,plain,
( ~ sQ140_spl
| ~ sQ66_spl
| ~ sQ72_spl
| ~ sQ152_spl ),
inference(contradiction_clause,[status(thm)],[f7108]) ).
fof(f7131,plain,
( ~ sQ62_spl
| op1(e13,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f1444,f160]) ).
fof(f7145,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f5585,f1414,f1427]) ).
fof(f7152,plain,
( ~ sQ26_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5675,f1274,f1326]) ).
fof(f7157,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1444,f1447]) ).
fof(f7158,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7157,f217]) ).
fof(f7159,plain,
( ~ sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f7158]) ).
fof(f7196,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f4149,f1294,f1242]) ).
fof(f7197,plain,
( ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4145,f1268,f1242]) ).
fof(f7210,plain,
( ~ sQ85_spl
| op2(e20,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f4504,f3174]) ).
fof(f7229,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3452,f1316,f1264]) ).
fof(f7246,plain,
( ~ sQ140_spl
| ~ sQ66_spl
| ~ sQ72_spl
| h1(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f6885,f6960]) ).
fof(f7247,plain,
( ~ sQ140_spl
| ~ sQ66_spl
| ~ sQ72_spl
| sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7246,f2162]) ).
fof(f7248,plain,
( ~ sQ140_spl
| ~ sQ66_spl
| ~ sQ72_spl
| sQ245_spl ),
inference(contradiction_clause,[status(thm)],[f7247]) ).
fof(f7260,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f7018,f1446,f1342]) ).
fof(f7361,plain,
( ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4816,f1268,f1255]) ).
fof(f7368,plain,
( sQ156_spl
| ~ sQ4_spl
| ~ sQ85_spl
| e21 != op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f6765,f4102]) ).
fof(f7369,plain,
( sQ156_spl
| ~ sQ4_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f6765,f7368]) ).
fof(f7370,plain,
( sQ156_spl
| ~ sQ4_spl
| ~ sQ85_spl
| ~ sQ252_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5888,f7369]) ).
fof(f7371,plain,
( sQ156_spl
| ~ sQ4_spl
| ~ sQ85_spl
| ~ sQ252_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6142,f7370]) ).
fof(f7372,plain,
( sQ156_spl
| ~ sQ4_spl
| ~ sQ85_spl
| ~ sQ252_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7371]) ).
fof(f7373,plain,
( sQ156_spl
| ~ sQ4_spl
| ~ sQ85_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f7372]) ).
fof(f7380,plain,
( sQ202_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| h4(op1(e10,e11)) != op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f6464,f1978]) ).
fof(f7390,plain,
( ~ sQ14_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f5049,f1339,f1287]) ).
fof(f7400,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4043,f1274,f1287]) ).
fof(f7415,plain,
( sQ170_spl
| ~ sQ63_spl
| ~ sQ85_spl
| e21 != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f4504,f4027]) ).
fof(f7416,plain,
( sQ170_spl
| ~ sQ63_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f4504,f7415]) ).
fof(f7417,plain,
( sQ170_spl
| ~ sQ63_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4504,f7416]) ).
fof(f7418,plain,
( sQ170_spl
| ~ sQ63_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6142,f7417]) ).
fof(f7419,plain,
( sQ170_spl
| ~ sQ63_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7418]) ).
fof(f7420,plain,
( sQ170_spl
| ~ sQ63_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f7419]) ).
fof(f7436,plain,
( ~ sQ283_spl
| e22 = h4(e13) ),
inference(forward_demodulation,[status(thm)],[f287,f6135]) ).
fof(f7444,plain,
( sQ203_spl
| ~ sQ276_spl
| ~ sQ95_spl
| h4(op1(e10,e12)) != e23 ),
inference(forward_demodulation,[status(thm)],[f1583,f6980]) ).
fof(f7466,plain,
( sQ202_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ116_spl
| ~ sQ276_spl
| h4(op1(e10,e11)) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f7470,f7380]) ).
fof(f7470,plain,
( ~ sQ116_spl
| ~ sQ276_spl
| h4(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f6974,f1652]) ).
fof(f7510,plain,
( ~ sQ38_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f4197,f1313,f1365]) ).
fof(f7532,plain,
( ~ sQ80_spl
| e20 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1535,f195]) ).
fof(f7563,plain,
( sQ208_spl
| ~ sQ116_spl
| ~ sQ276_spl
| h4(op1(e11,e13)) != op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7470,f1996]) ).
fof(f7564,plain,
( sQ208_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ283_spl
| h4(op1(e11,e13)) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f7436,f7563]) ).
fof(f7565,plain,
( sQ208_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ283_spl
| ~ sQ72_spl
| h4(op1(e11,e13)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1509,f7564]) ).
fof(f7607,plain,
( sQ169_spl
| ~ sQ57_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f5888,f5810]) ).
fof(f7608,plain,
( sQ169_spl
| ~ sQ57_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4504,f7607]) ).
fof(f7609,plain,
( sQ169_spl
| ~ sQ57_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6142,f7608]) ).
fof(f7610,plain,
( sQ169_spl
| ~ sQ57_spl
| ~ sQ252_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7609]) ).
fof(f7611,plain,
( sQ169_spl
| ~ sQ57_spl
| ~ sQ252_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f7610]) ).
fof(f7626,plain,
( sQ203_spl
| ~ sQ276_spl
| ~ sQ95_spl
| ~ sQ10_spl
| h4(e12) != e23 ),
inference(backward_demodulation,[status(thm)],[f1275,f7444]) ).
fof(f7635,plain,
( sQ207_spl
| ~ sQ24_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| e21 != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f6464,f4548]) ).
fof(f7636,plain,
( sQ207_spl
| ~ sQ24_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ116_spl
| ~ sQ276_spl
| e21 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f7470,f7635]) ).
fof(f7640,plain,
( sQ161_spl
| ~ sQ252_spl
| ~ sQ85_spl
| ~ sQ24_spl
| h2(e10) != e21 ),
inference(backward_demodulation,[status(thm)],[f1321,f6814]) ).
fof(f7652,plain,
( sQ157_spl
| ~ sQ10_spl
| h2(e12) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f1275,f3263]) ).
fof(f7653,plain,
( sQ157_spl
| ~ sQ10_spl
| e21 != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f276,f7652]) ).
fof(f7654,plain,
( sQ157_spl
| ~ sQ10_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6765,f7653]) ).
fof(f7655,plain,
( sQ157_spl
| ~ sQ10_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6142,f7654]) ).
fof(f7656,plain,
( sQ157_spl
| ~ sQ10_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7655]) ).
fof(f7657,plain,
( sQ157_spl
| ~ sQ10_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f7656]) ).
fof(f7659,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f1265,f1259]) ).
fof(f7660,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7659,f216]) ).
fof(f7661,plain,
( ~ sQ5_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f7660]) ).
fof(f7668,plain,
( sQ216_spl
| ~ sQ62_spl
| ~ sQ283_spl
| e23 != op2(e22,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7436,f5858]) ).
fof(f7669,plain,
( sQ216_spl
| ~ sQ62_spl
| ~ sQ283_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f7436,f7668]) ).
fof(f7670,plain,
( sQ216_spl
| ~ sQ62_spl
| ~ sQ283_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f271,f7669]) ).
fof(f7671,plain,
( sQ216_spl
| ~ sQ62_spl
| ~ sQ283_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7670]) ).
fof(f7672,plain,
( sQ216_spl
| ~ sQ62_spl
| ~ sQ283_spl ),
inference(contradiction_clause,[status(thm)],[f7671]) ).
fof(f7673,plain,
( ~ sQ62_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f7131,f1404,f1443]) ).
fof(f7684,plain,
( sQ213_spl
| ~ sQ51_spl
| ~ sQ283_spl
| e22 != op2(h4(e13),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f7436,f5864]) ).
fof(f7685,plain,
( sQ213_spl
| ~ sQ51_spl
| ~ sQ283_spl
| e22 != op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f7436,f7684]) ).
fof(f7686,plain,
( sQ213_spl
| ~ sQ51_spl
| ~ sQ283_spl
| ~ sQ212_spl
| ~ sQ121_spl
| e22 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f6464,f7685]) ).
fof(f7687,plain,
( sQ213_spl
| ~ sQ51_spl
| ~ sQ283_spl
| ~ sQ212_spl
| ~ sQ121_spl
| ~ sQ102_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1606,f7686]) ).
fof(f7688,plain,
( sQ213_spl
| ~ sQ51_spl
| ~ sQ283_spl
| ~ sQ212_spl
| ~ sQ121_spl
| ~ sQ102_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7687]) ).
fof(f7689,plain,
( sQ213_spl
| ~ sQ51_spl
| ~ sQ283_spl
| ~ sQ212_spl
| ~ sQ121_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f7688]) ).
fof(f7734,plain,
( sQ202_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ80_spl
| h4(op1(e10,e11)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1535,f7466]) ).
fof(f7751,plain,
( ~ sQ0_spl
| e10 != op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f1243,f118]) ).
fof(f7754,plain,
( sQ202_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ80_spl
| ~ sQ5_spl
| h4(e11) != e20 ),
inference(backward_demodulation,[status(thm)],[f1259,f7734]) ).
fof(f7760,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f4404,f1261,f1365]) ).
fof(f7783,plain,
( sQ206_spl
| ~ sQ23_spl
| ~ sQ283_spl
| e22 != op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f7436,f3521]) ).
fof(f7784,plain,
( sQ206_spl
| ~ sQ23_spl
| ~ sQ283_spl
| ~ sQ116_spl
| ~ sQ276_spl
| e22 != op2(e20,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f7470,f7783]) ).
fof(f7785,plain,
( sQ206_spl
| ~ sQ23_spl
| ~ sQ283_spl
| ~ sQ116_spl
| ~ sQ276_spl
| e22 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f7470,f7784]) ).
fof(f7786,plain,
( sQ206_spl
| ~ sQ23_spl
| ~ sQ283_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ66_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f6885,f7785]) ).
fof(f7787,plain,
( sQ206_spl
| ~ sQ23_spl
| ~ sQ283_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ66_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7786]) ).
fof(f7788,plain,
( sQ206_spl
| ~ sQ23_spl
| ~ sQ283_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f7787]) ).
fof(f7832,plain,
( sQ208_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ283_spl
| ~ sQ72_spl
| ~ sQ29_spl
| h4(e11) != e20 ),
inference(backward_demodulation,[status(thm)],[f1337,f7565]) ).
fof(f7838,plain,
( sQ204_spl
| ~ sQ15_spl
| ~ sQ283_spl
| e22 != op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7436,f3374]) ).
fof(f7839,plain,
( sQ204_spl
| ~ sQ15_spl
| ~ sQ283_spl
| ~ sQ212_spl
| ~ sQ121_spl
| e22 != op2(e21,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f6464,f7838]) ).
fof(f7840,plain,
( sQ204_spl
| ~ sQ15_spl
| ~ sQ283_spl
| ~ sQ212_spl
| ~ sQ121_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f7436,f7839]) ).
fof(f7859,plain,
( sQ203_spl
| ~ sQ276_spl
| ~ sQ95_spl
| ~ sQ10_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f7626,f2038,f1274,f1582,f2292,f1979]) ).
fof(f7869,plain,
( ~ sQ90_spl
| sQ204_spl
| ~ sQ15_spl
| ~ sQ283_spl
| ~ sQ212_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1567,f7840]) ).
fof(f7870,plain,
( ~ sQ90_spl
| sQ204_spl
| ~ sQ15_spl
| ~ sQ283_spl
| ~ sQ212_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f7869]) ).
fof(f7872,plain,
( sQ161_spl
| ~ sQ85_spl
| ~ sQ24_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f7640,f2190,f1320,f1550,f1845]) ).
fof(f7884,plain,
( sQ207_spl
| ~ sQ24_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f7636,f1524,f2292,f1651,f1667,f2321,f2006,f1320,f1991]) ).
fof(f7885,plain,
( sQ184_spl
| ~ sQ24_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f3751,f1560,f1320,f1918]) ).
fof(f7904,plain,
( sQ205_spl
| ~ sQ18_spl
| ~ sQ116_spl
| ~ sQ276_spl
| e23 != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f7470,f4174]) ).
fof(f7905,plain,
( sQ205_spl
| ~ sQ18_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| e23 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f6464,f7904]) ).
fof(f7906,plain,
( sQ205_spl
| ~ sQ18_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ71_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1505,f7905]) ).
fof(f7907,plain,
( sQ205_spl
| ~ sQ18_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ71_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7906]) ).
fof(f7908,plain,
( sQ205_spl
| ~ sQ18_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f7907]) ).
fof(f7916,plain,
( sQ159_spl
| ~ sQ18_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f5888,f4177]) ).
fof(f7917,plain,
( sQ159_spl
| ~ sQ18_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6765,f7916]) ).
fof(f7918,plain,
( sQ159_spl
| ~ sQ18_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6142,f7917]) ).
fof(f7919,plain,
( sQ159_spl
| ~ sQ18_spl
| ~ sQ252_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7918]) ).
fof(f7920,plain,
( sQ159_spl
| ~ sQ18_spl
| ~ sQ252_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f7919]) ).
fof(f7926,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3421,f1316,f1329]) ).
fof(f7928,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1321,f1330]) ).
fof(f7929,plain,
( ~ sQ27_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7928,f214]) ).
fof(f7930,plain,
( ~ sQ27_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f7929]) ).
fof(f7931,plain,
( sQ202_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ80_spl
| ~ sQ5_spl
| ~ sQ273_spl ),
inference(split_clause,[status(thm)],[f7754,f2279,f1258,f1534,f2292,f1651,f1667,f2321,f2006,f1976]) ).
fof(f7953,plain,
( sQ208_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ283_spl
| ~ sQ72_spl
| ~ sQ29_spl
| ~ sQ273_spl ),
inference(split_clause,[status(thm)],[f7832,f2279,f1336,f1508,f2321,f2292,f1651,f1994]) ).
fof(f8004,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1438,f3811]) ).
fof(f8005,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f8004]) ).
fof(f8011,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1298,f3138]) ).
fof(f8012,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f8011]) ).
fof(f8023,plain,
( ~ sQ80_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f7532,f1560,f1534]) ).
fof(f8051,plain,
( ~ sQ88_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f5546,f1508,f1560]) ).
fof(f8062,plain,
( ~ sQ15_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f3378,f1446,f1290]) ).
fof(f8065,plain,
( ~ sQ0_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f7751,f1398,f1242]) ).
fof(f8068,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f5596,f1398,f1411]) ).
fof(f8070,plain,
( sQ273_spl
| ~ sQ116_spl
| ~ sQ276_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f7470,f2281]) ).
fof(f8071,plain,
( sQ273_spl
| ~ sQ116_spl
| ~ sQ276_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8070]) ).
fof(f8072,plain,
( sQ273_spl
| ~ sQ116_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f8071]) ).
fof(f8075,plain,
( sQ214_spl
| ~ sQ52_spl
| h4(e10) != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1412,f2014]) ).
fof(f8076,plain,
( sQ214_spl
| ~ sQ52_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| e21 != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f6464,f8075]) ).
fof(f8077,plain,
( sQ214_spl
| ~ sQ52_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| e21 != op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f7436,f8076]) ).
fof(f8078,plain,
( sQ214_spl
| ~ sQ52_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ116_spl
| ~ sQ276_spl
| e21 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f7470,f8077]) ).
fof(f8079,plain,
( sQ214_spl
| ~ sQ52_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ116_spl
| ~ sQ276_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3153,f8078]) ).
fof(f8080,plain,
( sQ214_spl
| ~ sQ52_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ116_spl
| ~ sQ276_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8079]) ).
fof(f8081,plain,
( sQ214_spl
| ~ sQ52_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ116_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f8080]) ).
fof(f8102,plain,
( ~ sQ23_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f3782,f1342,f1316]) ).
fof(f8130,plain,
( ~ sQ181_spl
| ~ sQ77_spl
| ~ sQ14_spl
| h3(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f1288,f7048]) ).
fof(f8131,plain,
( ~ sQ181_spl
| ~ sQ77_spl
| ~ sQ14_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f280,f8130]) ).
fof(f8132,plain,
( ~ sQ181_spl
| ~ sQ77_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8131,f221]) ).
fof(f8133,plain,
( ~ sQ181_spl
| ~ sQ77_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f8132]) ).
fof(f8137,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f5888,f4340]) ).
fof(f8138,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f4504,f8137]) ).
fof(f8139,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4504,f8138]) ).
fof(f8140,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ252_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6142,f8139]) ).
fof(f8141,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ252_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8140]) ).
fof(f8142,plain,
( sQ170_spl
| ~ sQ61_spl
| ~ sQ252_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f8141]) ).
fof(f8162,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f1321,f1324]) ).
fof(f8163,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8162,f212]) ).
fof(f8164,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f8163]) ).
fof(f8200,plain,
( sQ179_spl
| ~ sQ5_spl
| h3(e11) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1259,f3244]) ).
fof(f8201,plain,
( sQ179_spl
| ~ sQ5_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f3177,f8200]) ).
fof(f8202,plain,
( ~ sQ85_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f7210,f1498,f1550]) ).
fof(f8203,plain,
( sQ181_spl
| ~ sQ79_spl
| ~ sQ15_spl
| h3(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f1291,f3299]) ).
fof(f8204,plain,
( sQ181_spl
| ~ sQ79_spl
| ~ sQ15_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3178,f8203]) ).
fof(f8205,plain,
( sQ181_spl
| ~ sQ79_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8204]) ).
fof(f8206,plain,
( sQ181_spl
| ~ sQ79_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f8205]) ).
fof(f8236,plain,
( ~ sQ72_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f6908,f1521,f1508]) ).
fof(f8248,plain,
( sQ185_spl
| ~ sQ29_spl
| h3(e11) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1337,f3231]) ).
fof(f8249,plain,
( sQ185_spl
| ~ sQ29_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3177,f8248]) ).
fof(f8356,plain,
( ~ sQ116_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f6107,f2185,f1651]) ).
fof(f8359,plain,
( ~ sQ251_spl
| e20 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2186,f279]) ).
fof(f8376,plain,
( ~ sQ252_spl
| ~ sQ251_spl
| h2(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f8359,f5470]) ).
fof(f8377,plain,
( ~ sQ252_spl
| ~ sQ251_spl
| sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8376,f2179]) ).
fof(f8378,plain,
( ~ sQ252_spl
| ~ sQ251_spl
| sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f8377]) ).
fof(f8388,plain,
( sQ180_spl
| ~ sQ74_spl
| h3(op1(e10,e12)) != e22 ),
inference(forward_demodulation,[status(thm)],[f1515,f3242]) ).
fof(f8395,plain,
( ~ sQ240_spl
| ~ sQ64_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f6343,f2140]) ).
fof(f8396,plain,
( ~ sQ240_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8395,f218]) ).
fof(f8397,plain,
( ~ sQ240_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f8396]) ).
fof(f8438,plain,
( ~ sQ177_spl
| ~ sQ93_spl
| ~ sQ175_spl
| e23 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1889,f6582]) ).
fof(f8655,plain,
( sQ178_spl
| ~ sQ0_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f4041,f2134,f1242,f1900]) ).
fof(f8663,plain,
( sQ132_spl
| ~ sQ0_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f6343,f4038]) ).
fof(f8664,plain,
( sQ132_spl
| ~ sQ0_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f6343,f8663]) ).
fof(f8665,plain,
( sQ132_spl
| ~ sQ0_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6343,f8664]) ).
fof(f8666,plain,
( sQ132_spl
| ~ sQ0_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f8665]) ).
fof(f8667,plain,
( sQ132_spl
| ~ sQ0_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8666]) ).
fof(f8668,plain,
( sQ132_spl
| ~ sQ0_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f8667]) ).
fof(f8727,plain,
( sQ183_spl
| ~ sQ23_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f4427,f1896,f1316,f1915]) ).
fof(f8741,plain,
( sQ180_spl
| ~ sQ74_spl
| ~ sQ10_spl
| h3(e12) != e22 ),
inference(backward_demodulation,[status(thm)],[f1275,f8388]) ).
fof(f8751,plain,
( sQ185_spl
| ~ sQ29_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f8249,f1576,f1336,f1921]) ).
fof(f8754,plain,
( sQ182_spl
| ~ sQ18_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f7031,f1540,f1300,f1912]) ).
fof(f8766,plain,
( sQ136_spl
| ~ sQ18_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f6516,f4151]) ).
fof(f8767,plain,
( sQ136_spl
| ~ sQ18_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6343,f8766]) ).
fof(f8768,plain,
( sQ136_spl
| ~ sQ18_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f8767]) ).
fof(f8769,plain,
( sQ136_spl
| ~ sQ18_spl
| ~ sQ140_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8768]) ).
fof(f8770,plain,
( sQ136_spl
| ~ sQ18_spl
| ~ sQ140_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f8769]) ).
fof(f8774,plain,
( sQ179_spl
| ~ sQ5_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f8201,f1498,f1258,f1903]) ).
fof(f8777,plain,
( sQ133_spl
| ~ sQ5_spl
| h1(e11) != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1259,f1759]) ).
fof(f8778,plain,
( sQ133_spl
| ~ sQ5_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6516,f8777]) ).
fof(f8779,plain,
( sQ133_spl
| ~ sQ5_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6343,f8778]) ).
fof(f8780,plain,
( sQ133_spl
| ~ sQ5_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6516,f8779]) ).
fof(f8781,plain,
( sQ133_spl
| ~ sQ5_spl
| ~ sQ140_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f8780]) ).
fof(f8782,plain,
( sQ133_spl
| ~ sQ5_spl
| ~ sQ140_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8781]) ).
fof(f8783,plain,
( sQ133_spl
| ~ sQ5_spl
| ~ sQ140_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f8782]) ).
fof(f8784,plain,
( sQ134_spl
| ~ sQ10_spl
| h1(e12) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f1275,f3279]) ).
fof(f8785,plain,
( sQ134_spl
| ~ sQ10_spl
| e20 != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f272,f8784]) ).
fof(f8786,plain,
( sQ134_spl
| ~ sQ10_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6343,f8785]) ).
fof(f8787,plain,
( sQ134_spl
| ~ sQ10_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6481,f8786]) ).
fof(f8788,plain,
( sQ134_spl
| ~ sQ10_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8787]) ).
fof(f8789,plain,
( sQ134_spl
| ~ sQ10_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f8788]) ).
fof(f8833,plain,
( sQ180_spl
| ~ sQ74_spl
| ~ sQ10_spl
| ~ sQ270_spl ),
inference(split_clause,[status(thm)],[f8741,f2266,f1274,f1514,f1906]) ).
fof(f8933,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f7068,f1281,f1268]) ).
fof(f9026,plain,
( sQ201_spl
| ~ sQ2_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| e23 != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f6464,f5861]) ).
fof(f9027,plain,
( sQ201_spl
| ~ sQ2_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| e23 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6464,f9026]) ).
fof(f9028,plain,
( sQ201_spl
| ~ sQ2_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ177_spl
| ~ sQ93_spl
| ~ sQ175_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f8438,f9027]) ).
fof(f9029,plain,
( sQ201_spl
| ~ sQ2_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ177_spl
| ~ sQ93_spl
| ~ sQ175_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9028]) ).
fof(f9030,plain,
( sQ201_spl
| ~ sQ2_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ177_spl
| ~ sQ93_spl
| ~ sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f9029]) ).
fof(f9095,plain,
( sQ204_spl
| ~ sQ13_spl
| h4(e11) != op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1285,f1984]) ).
fof(f9096,plain,
( sQ204_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ276_spl
| e20 != op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7470,f9095]) ).
fof(f9097,plain,
( sQ204_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| e20 != op2(e21,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f6464,f9096]) ).
fof(f9098,plain,
( sQ204_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| e20 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f7436,f9097]) ).
fof(f9099,plain,
( sQ204_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ88_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1561,f9098]) ).
fof(f9100,plain,
( sQ204_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ88_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9099]) ).
fof(f9101,plain,
( sQ204_spl
| ~ sQ13_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f9100]) ).
fof(f9106,plain,
( sQ208_spl
| ~ sQ31_spl
| h4(e13) != op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1343,f1996]) ).
fof(f9107,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ283_spl
| e22 != op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7436,f9106]) ).
fof(f9108,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ283_spl
| ~ sQ116_spl
| ~ sQ276_spl
| e22 != op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f7470,f9107]) ).
fof(f9109,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ283_spl
| ~ sQ116_spl
| ~ sQ276_spl
| e22 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f7436,f9108]) ).
fof(f9110,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ283_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ74_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1515,f9109]) ).
fof(f9111,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ283_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ74_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9110]) ).
fof(f9112,plain,
( sQ208_spl
| ~ sQ31_spl
| ~ sQ283_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f9111]) ).
fof(f9117,plain,
( sQ202_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ7_spl
| h4(e13) != op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1265,f7380]) ).
fof(f9118,plain,
( sQ202_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ7_spl
| e22 != op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f7436,f9117]) ).
fof(f9119,plain,
( sQ202_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ7_spl
| ~ sQ116_spl
| ~ sQ276_spl
| e22 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f7470,f9118]) ).
fof(f9120,plain,
( sQ202_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ7_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ82_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1541,f9119]) ).
fof(f9121,plain,
( sQ202_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ7_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ82_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9120]) ).
fof(f9122,plain,
( sQ202_spl
| ~ sQ212_spl
| ~ sQ283_spl
| ~ sQ121_spl
| ~ sQ7_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f9121]) ).
fof(f9133,plain,
( sQ207_spl
| ~ sQ26_spl
| h4(e12) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f1327,f3201]) ).
fof(f9134,plain,
( sQ207_spl
| ~ sQ26_spl
| e23 != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f284,f9133]) ).
fof(f9135,plain,
( sQ207_spl
| ~ sQ26_spl
| ~ sQ116_spl
| ~ sQ276_spl
| e23 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f7470,f9134]) ).
fof(f9136,plain,
( sQ207_spl
| ~ sQ26_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ79_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1531,f9135]) ).
fof(f9137,plain,
( sQ207_spl
| ~ sQ26_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ79_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9136]) ).
fof(f9138,plain,
( sQ207_spl
| ~ sQ26_spl
| ~ sQ116_spl
| ~ sQ276_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f9137]) ).
fof(f9139,plain,
$false,
inference(sat_refutation,[status(thm)],[f1254,f1267,f1280,f1293,f1306,f1319,f1332,f1345,f1358,f1384,f1410,f1423,f1449,f1450,f1451,f1452,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1464,f1466,f1467,f1469,f1470,f1471,f1474,f1476,f1477,f1478,f1479,f1480,f1481,f1494,f1507,f1520,f1533,f1546,f1559,f1572,f1598,f1624,f1663,f1676,f1690,f1691,f1694,f1695,f1697,f1698,f1699,f1700,f1705,f1706,f1709,f1710,f1711,f1717,f1718,f1719,f1720,f1721,f1725,f1729,f1736,f1741,f1745,f1752,f1972,f2041,f2049,f2059,f2060,f2068,f2087,f2106,f2137,f2154,f2155,f2171,f2172,f2189,f2201,f2223,f2227,f2248,f2269,f2282,f2295,f2324,f2329,f2337,f2340,f2345,f2346,f2347,f2349,f2354,f2358,f2364,f2370,f2371,f2372,f2374,f2379,f2387,f2395,f2396,f2397,f2400,f2404,f2408,f2414,f2420,f2421,f2422,f2424,f2429,f2433,f2441,f2447,f2448,f2449,f2451,f2459,f2466,f2468,f2470,f2471,f2475,f2479,f2485,f2493,f2494,f2497,f2505,f2509,f2512,f2517,f2521,f2537,f2538,f2542,f2544,f2545,f2546,f2547,f2552,f2568,f2569,f2573,f2575,f2576,f2577,f2578,f2583,f2600,f2601,f2602,f2603,f2604,f2608,f2625,f2628,f2629,f2641,f2649,f2650,f2651,f2653,f2666,f2674,f2675,f2676,f2679,f2683,f2700,f2701,f2702,f2708,f2725,f2726,f2727,f2733,f2741,f2743,f2749,f2750,f2754,f2758,f2768,f2774,f2775,f2779,f2783,f2800,f2801,f2802,f2803,f2804,f2808,f2825,f2828,f2829,f2833,f2841,f2849,f2850,f2851,f2853,f2866,f2874,f2875,f2876,f2879,f2883,f2900,f2901,f2902,f2903,f2908,f2925,f2926,f2927,f2933,f2943,f2949,f2950,f2954,f2958,f2968,f2974,f2975,f2979,f2983,f2987,f3000,f3001,f3002,f3003,f3004,f3008,f3012,f3025,f3028,f3029,f3033,f3041,f3049,f3050,f3051,f3053,f3058,f3066,f3074,f3075,f3076,f3079,f3080,f3084,f3096,f3097,f3098,f3099,f3101,f3105,f3117,f3118,f3119,f3122,f3123,f3127,f3128,f3129,f3133,f3194,f3200,f3220,f3229,f3255,f3261,f3271,f3277,f3304,f3307,f3323,f3329,f3338,f3344,f3350,f3354,f3381,f3384,f3411,f3435,f3441,f3447,f3455,f3461,f3464,f3472,f3475,f3482,f3488,f3498,f3501,f3504,f3507,f3510,f3513,f3527,f3530,f3536,f3539,f3545,f3548,f3551,f3554,f3557,f3560,f3563,f3566,f3569,f3572,f3575,f3579,f3585,f3591,f3594,f3598,f3604,f3607,f3610,f3640,f3663,f3666,f3710,f3724,f3728,f3732,f3737,f3786,f3790,f3799,f3805,f3827,f3833,f3857,f3881,f3885,f3906,f3927,f3933,f3939,f3951,f3984,f3996,f4009,f4031,f4034,f4059,f4077,f4092,f4095,f4144,f4160,f4161,f4184,f4196,f4204,f4209,f4238,f4248,f4274,f4300,f4309,f4313,f4325,f4373,f4390,f4407,f4412,f4420,f4430,f4444,f4465,f4470,f4473,f4479,f4484,f4508,f4514,f4519,f4525,f4536,f4541,f4545,f4560,f4563,f4566,f4589,f4617,f4626,f4631,f4633,f4645,f4677,f4678,f4686,f4694,f4714,f4715,f4736,f4748,f4750,f4754,f4757,f4776,f4793,f4796,f4805,f4854,f4887,f4915,f4922,f4975,f4977,f5001,f5077,f5108,f5114,f5150,f5157,f5225,f5240,f5251,f5254,f5282,f5305,f5315,f5359,f5409,f5410,f5421,f5430,f5522,f5533,f5565,f5579,f5584,f5625,f5633,f5662,f5689,f5706,f5725,f5830,f5872,f5889,f5894,f5910,f5920,f5928,f5931,f5934,f5947,f5951,f5952,f5962,f5963,f5969,f5973,f5979,f5988,f5989,f5994,f6008,f6014,f6015,f6016,f6030,f6049,f6080,f6083,f6102,f6114,f6123,f6307,f6308,f6311,f6320,f6443,f6466,f6476,f6505,f6510,f6514,f6518,f6527,f6533,f6539,f6545,f6551,f6556,f6562,f6567,f6580,f6628,f6632,f6638,f6644,f6696,f6702,f6721,f6727,f6739,f6747,f6754,f6760,f6762,f6778,f6781,f6815,f6831,f6833,f6849,f6863,f6865,f6919,f6926,f6966,f7042,f7109,f7145,f7152,f7159,f7196,f7197,f7229,f7248,f7260,f7361,f7373,f7390,f7400,f7420,f7510,f7611,f7657,f7661,f7672,f7673,f7689,f7760,f7788,f7859,f7870,f7872,f7884,f7885,f7908,f7920,f7926,f7930,f7931,f7953,f8005,f8012,f8023,f8051,f8062,f8065,f8068,f8072,f8081,f8102,f8133,f8142,f8164,f8202,f8206,f8236,f8356,f8378,f8397,f8655,f8668,f8727,f8751,f8754,f8770,f8774,f8783,f8789,f8833,f8933,f9030,f9101,f9112,f9122,f9138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG127+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 12:59:51 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.41 % Drodi V4.1.1
% 2.65/0.84 % Refutation found
% 2.65/0.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.65/0.84 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.72/0.93 % Elapsed time: 0.539542 seconds
% 0.72/0.93 % CPU time: 3.503592 seconds
% 0.72/0.93 % Total memory used: 176.877 MB
% 0.72/0.93 % Net memory used: 175.300 MB
%------------------------------------------------------------------------------