%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG108+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 : n011.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 11:48:14 AM UTC 2026
% Result : Theorem 6.87s 1.34s
% Output : CNFRefutation 6.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 361
% Syntax : Number of formulae : 2373 ( 225 unt; 344 def)
% Number of atoms : 9582 (5101 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 12359 (5150 ~;4593 |;2244 &)
% ( 372 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 346 ( 344 usr; 345 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) )
& ( op1(op1(e13,e13),e13) = op1(e13,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e10,e13),e10) = op1(e10,e13) )
& ( op1(op1(e13,e12),e13) = op1(e13,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e10,e12),e10) = op1(e10,e12) )
& ( op1(op1(e13,e11),e13) = op1(e13,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e10,e11),e10) = op1(e10,e11) )
& ( op1(op1(e13,e10),e13) = op1(e13,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e10,e10),e10) = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) )
& ( op2(op2(e23,e23),e23) = op2(e23,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e20,e23),e20) = op2(e20,e23) )
& ( op2(op2(e23,e22),e23) = op2(e23,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e20,e22),e20) = op2(e20,e22) )
& ( op2(op2(e23,e21),e23) = op2(e23,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e20,e21),e20) = op2(e20,e21) )
& ( op2(op2(e23,e20),e23) = op2(e23,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e20,e20),e20) = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e12 = op1(op1(e13,e13),e13)
& e11 = op1(op1(e13,e13),op1(e13,e13))
& e10 = op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e22 = op2(op2(e23,e23),e23)
& e21 = op2(op2(e23,e23),op2(e23,e23))
& e20 = op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e10) = op2(e20,e20)
& h1(e13) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e10) = op2(e21,e21)
& h2(e13) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e10) = op2(e22,e22)
& h3(e13) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e10) = op2(e23,e23)
& h4(e13) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(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(f28,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(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(f51,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f54,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f57,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(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(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(f73,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f75,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f77,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f89,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f90,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f94,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f96,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f97,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f101,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f106,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f107,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f117,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f123,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f125,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f126,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f128,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f130,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(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(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(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f152,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f156,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f157,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f158,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f166,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f169,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(f179,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f182,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f183,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f185,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f187,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f196,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f197,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f199,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f200,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f202,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f208,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f210,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f211,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f220,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f240,definition,
( sP0_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,plain,
( ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| sP0_prd )
& ( op1(op1(e13,e13),e13) = op1(e13,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e10,e13),e10) = op1(e10,e13) )
& ( op1(op1(e13,e12),e13) = op1(e13,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e10,e12),e10) = op1(e10,e12) )
& ( op1(op1(e13,e11),e13) = op1(e13,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e10,e11),e10) = op1(e10,e11) )
& ( op1(op1(e13,e10),e13) = op1(e13,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e10,e10),e10) = op1(e10,e10) ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f242,plain,
( op1(op1(e13,e10),e13) = op1(e13,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e10,e10),e10) = op1(e10,e10) ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
( op1(op1(e13,e11),e13) = op1(e13,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e10,e11),e10) = op1(e10,e11) ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f244,plain,
( op1(op1(e13,e12),e13) = op1(e13,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e10,e12),e10) = op1(e10,e12) ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f245,plain,
( op1(op1(e13,e13),e13) = op1(e13,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e10,e13),e10) = op1(e10,e13) ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f246,plain,
( op1(e13,e13) = e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f252,definition,
( sP1_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f253,plain,
( ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| sP1_prd )
& ( op2(op2(e23,e23),e23) = op2(e23,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e20,e23),e20) = op2(e20,e23) )
& ( op2(op2(e23,e22),e23) = op2(e23,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e20,e22),e20) = op2(e20,e22) )
& ( op2(op2(e23,e21),e23) = op2(e23,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e20,e21),e20) = op2(e20,e21) )
& ( op2(op2(e23,e20),e23) = op2(e23,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e20,e20),e20) = op2(e20,e20) ) ),
inference(formula_renaming,[status(thm)],[f11,f252]) ).
fof(f254,plain,
( op2(op2(e23,e20),e23) = op2(e23,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e20,e20),e20) = op2(e20,e20) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f255,plain,
( op2(op2(e23,e21),e23) = op2(e23,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e20,e21),e20) = op2(e20,e21) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f256,plain,
( op2(op2(e23,e22),e23) = op2(e23,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e20,e22),e20) = op2(e20,e22) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f257,plain,
( op2(op2(e23,e23),e23) = op2(e23,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e20,e23),e20) = op2(e20,e23) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f258,plain,
( op2(e23,e23) = e23
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f264,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f265,plain,
e11 = op1(op1(e13,e13),op1(e13,e13)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f266,plain,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f267,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f268,plain,
e21 = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f269,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f270,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f271,plain,
h1(e10) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f272,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f273,plain,
h1(e12) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f274,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f275,plain,
h2(e10) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f276,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f277,plain,
h2(e12) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f278,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f279,plain,
h3(e10) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f280,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f281,plain,
h3(e12) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f282,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f283,plain,
h4(e10) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f284,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f285,plain,
h4(e12) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f286,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f287,definition,
( sP2_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f288,definition,
( sP3_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f289,definition,
( sP4_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f290,definition,
( sP5_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f291,definition,
( sP6_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f292,definition,
( sP7_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f293,definition,
( sP8_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f294,definition,
( sP9_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f295,definition,
( sP10_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f296,definition,
( sP11_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f297,definition,
( sP12_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f298,definition,
( sP13_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f299,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP13_prd
| sP12_prd
| sP11_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| sP10_prd
| sP9_prd
| sP8_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| sP7_prd
| sP6_prd
| sP5_prd
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| sP4_prd
| sP3_prd
| sP2_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(formula_renaming,[status(thm)],[f286,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287]) ).
fof(f315,plain,
( h4(e13) != e23
| sP13_prd
| sP12_prd
| sP11_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f316,definition,
( sP14_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f317,plain,
( sP0_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f316]) ).
fof(f318,plain,
( ( ( ( op1(e12,e13) = e13
| op1(e12,e12) = e12
| op1(e12,e11) = e11
| op1(e12,e10) = e10
| op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ~ sP14_prd )
| sP0_prd )
& ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| sP14_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f317]) ).
fof(f319,plain,
( op1(e13,e13) = e12
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f327,definition,
( sP15_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f328,plain,
( sP1_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f252,f327]) ).
fof(f329,plain,
( ( ( ( op2(e22,e23) = e23
| op2(e22,e22) = e22
| op2(e22,e21) = e21
| op2(e22,e20) = e20
| op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ~ sP15_prd )
| sP1_prd )
& ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| sP15_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f328]) ).
fof(f330,plain,
( op2(e23,e23) = e22
| sP15_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f344,plain,
( ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21
| sP3_prd )
& ( ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f288]) ).
fof(f345,plain,
( h1(e10) != e21
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f350,plain,
( ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP4_prd )
& ( ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f289]) ).
fof(f353,plain,
( h1(e12) != e22
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f355,plain,
( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f356,plain,
( ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP5_prd )
& ( ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f290]) ).
fof(f361,plain,
( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f362,plain,
( ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP6_prd )
& ( ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f291]) ).
fof(f366,plain,
( h2(e13) != e21
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f368,plain,
( ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP7_prd )
& ( ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f373,plain,
( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f374,plain,
( ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP8_prd )
& ( ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f375,plain,
( h3(e10) != e20
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f380,plain,
( ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP9_prd )
& ( ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f294]) ).
fof(f382,plain,
( h3(e11) != e21
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f386,plain,
( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP10_prd )
& ( ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f390,plain,
( h3(e13) != e22
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f392,plain,
( ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP11_prd )
& ( ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f393,plain,
( h4(e10) != e20
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f398,plain,
( ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP12_prd )
& ( ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f297]) ).
fof(f400,plain,
( h4(e11) != e21
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f404,plain,
( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP13_prd )
& ( ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f298]) ).
fof(f407,plain,
( h4(e12) != e22
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f410,definition,
( sP16_prd
<=> ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f411,plain,
( sP14_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f316,f410]) ).
fof(f412,plain,
( ( ( ( op1(e11,e13) = e13
| op1(e11,e12) = e12
| op1(e11,e11) = e11
| op1(e11,e10) = e10
| op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ~ sP16_prd )
| sP14_prd )
& ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f411]) ).
fof(f413,plain,
( op1(e13,e13) = e11
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f421,definition,
( sP17_prd
<=> ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f422,plain,
( sP15_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f327,f421]) ).
fof(f423,plain,
( ( ( ( op2(e21,e23) = e23
| op2(e21,e22) = e22
| op2(e21,e21) = e21
| op2(e21,e20) = e20
| op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ~ sP17_prd )
| sP15_prd )
& ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f422]) ).
fof(f424,plain,
( op2(e23,e23) = e21
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f423]) ).
fof(f432,definition,
( sP18_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f433,plain,
( sP16_prd
<=> ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f410,f432]) ).
fof(f434,plain,
( ( ( ( op1(e10,e13) = e13
| op1(e10,e12) = e12
| op1(e10,e11) = e11
| op1(e10,e10) = e10
| op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ~ sP18_prd )
| sP16_prd )
& ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| sP18_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f433]) ).
fof(f436,plain,
( op1(e13,e10) = e13
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f438,plain,
( op1(e10,e11) != e11
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f439,plain,
( op1(e10,e12) != e12
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f443,definition,
( sP19_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f444,plain,
( sP17_prd
<=> ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f421,f443]) ).
fof(f445,plain,
( ( ( ( op2(e20,e23) = e23
| op2(e20,e22) = e22
| op2(e20,e21) = e21
| op2(e20,e20) = e20
| op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ~ sP19_prd )
| sP17_prd )
& ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| sP19_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f444]) ).
fof(f447,plain,
( op2(e23,e20) = e23
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f449,plain,
( op2(e20,e21) != e21
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f454,definition,
( sP20_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f455,plain,
( sP18_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f432,f454]) ).
fof(f456,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e13,e12) = e12
| op1(e13,e11) = e11
| op1(e13,e10) = e10
| op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ~ sP20_prd )
| sP18_prd )
& ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| sP20_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f455]) ).
fof(f457,plain,
( op1(e12,e12) = e13
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f458,plain,
( op1(e12,e13) = e12
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f463,plain,
( ~ sP20_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f465,definition,
( sP21_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f466,plain,
( sP19_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f443,f465]) ).
fof(f467,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| op2(e23,e20) = e20
| op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ~ sP21_prd )
| sP19_prd )
& ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| sP21_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f466]) ).
fof(f468,plain,
( op2(e22,e22) = e23
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f469,plain,
( op2(e22,e23) = e22
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f474,plain,
( ~ sP21_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f476,definition,
( sP22_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f477,plain,
( sP20_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f454,f476]) ).
fof(f478,plain,
( ( ( ( op1(e12,e13) = e13
| op1(e12,e12) = e12
| op1(e12,e11) = e11
| op1(e12,e10) = e10
| op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ~ sP22_prd )
| sP20_prd )
& ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| sP22_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f477]) ).
fof(f479,plain,
( op1(e12,e12) = e12
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f483,plain,
( op1(e12,e12) != e12
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f484,plain,
( op1(e12,e13) != e13
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f485,plain,
( ~ sP22_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f487,definition,
( sP23_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f488,plain,
( sP21_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f465,f487]) ).
fof(f489,plain,
( ( ( ( op2(e22,e23) = e23
| op2(e22,e22) = e22
| op2(e22,e21) = e21
| op2(e22,e20) = e20
| op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ~ sP23_prd )
| sP21_prd )
& ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| sP23_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f488]) ).
fof(f490,plain,
( op2(e22,e22) = e22
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f492,plain,
( op2(e22,e20) != e20
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f494,plain,
( op2(e22,e22) != e22
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f496,plain,
( ~ sP23_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f498,definition,
( sP24_prd
<=> ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f499,plain,
( sP22_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f476,f498]) ).
fof(f500,plain,
( ( ( ( op1(e11,e13) = e13
| op1(e11,e12) = e12
| op1(e11,e11) = e11
| op1(e11,e10) = e10
| op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ~ sP24_prd )
| sP22_prd )
& ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| sP24_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f499]) ).
fof(f501,plain,
( op1(e12,e12) = e11
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f502,plain,
( op1(e12,e11) = e12
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f505,plain,
( op1(e11,e12) != e12
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f507,plain,
( ~ sP24_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f509,definition,
( sP25_prd
<=> ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f510,plain,
( sP23_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f487,f509]) ).
fof(f511,plain,
( ( ( ( op2(e21,e23) = e23
| op2(e21,e22) = e22
| op2(e21,e21) = e21
| op2(e21,e20) = e20
| op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ~ sP25_prd )
| sP23_prd )
& ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| sP25_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f510]) ).
fof(f512,plain,
( op2(e22,e22) = e21
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f516,plain,
( op2(e21,e22) != e22
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f517,plain,
( op2(e21,e23) != e23
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f518,plain,
( ~ sP25_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f520,definition,
( sP26_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f521,plain,
( sP24_prd
<=> ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f498,f520]) ).
fof(f522,plain,
( ( ( ( op1(e10,e13) = e13
| op1(e10,e12) = e12
| op1(e10,e11) = e11
| op1(e10,e10) = e10
| op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ~ sP26_prd )
| sP24_prd )
& ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| sP26_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f521]) ).
fof(f523,plain,
( op1(e12,e12) = e10
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f524,plain,
( op1(e12,e10) = e12
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f529,plain,
( ~ sP26_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f531,definition,
( sP27_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f532,plain,
( sP25_prd
<=> ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f509,f531]) ).
fof(f533,plain,
( ( ( ( op2(e20,e23) = e23
| op2(e20,e22) = e22
| op2(e20,e21) = e21
| op2(e20,e20) = e20
| op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ~ sP27_prd )
| sP25_prd )
& ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| sP27_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f532]) ).
fof(f534,plain,
( op2(e22,e22) = e20
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f535,plain,
( op2(e22,e20) = e22
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f541,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e22
| op2(e20,e21) = e21
| op2(e20,e20) = e20
| op2(e22,e20) != e22
| op2(e22,e22) != e20
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f542,definition,
( sP28_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f543,plain,
( sP26_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f520,f542]) ).
fof(f544,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e13,e12) = e12
| op1(e13,e11) = e11
| op1(e13,e10) = e10
| op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ~ sP28_prd )
| sP26_prd )
& ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| sP28_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f543]) ).
fof(f545,plain,
( op1(e11,e11) = e13
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f544]) ).
fof(f551,plain,
( ~ sP28_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f544]) ).
fof(f553,definition,
( sP29_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f554,plain,
( sP27_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f531,f553]) ).
fof(f555,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| op2(e23,e20) = e20
| op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ~ sP29_prd )
| sP27_prd )
& ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| sP29_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f554]) ).
fof(f556,plain,
( op2(e21,e21) = e23
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f559,plain,
( op2(e23,e21) != e21
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f564,definition,
( sP30_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f565,plain,
( sP28_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f542,f564]) ).
fof(f566,plain,
( ( ( ( op1(e12,e13) = e13
| op1(e12,e12) = e12
| op1(e12,e11) = e11
| op1(e12,e10) = e10
| op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ~ sP30_prd )
| sP28_prd )
& ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| sP30_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f565]) ).
fof(f567,plain,
( op1(e11,e11) = e12
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f569,plain,
( op1(e12,e10) != e10
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f571,plain,
( op1(e12,e12) != e12
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f572,plain,
( op1(e12,e13) != e13
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f574,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e12
| op1(e12,e11) = e11
| op1(e12,e10) = e10
| op1(e11,e12) != e11
| op1(e11,e11) != e12
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f575,definition,
( sP31_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f576,plain,
( sP29_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f553,f575]) ).
fof(f577,plain,
( ( ( ( op2(e22,e23) = e23
| op2(e22,e22) = e22
| op2(e22,e21) = e21
| op2(e22,e20) = e20
| op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ~ sP31_prd )
| sP29_prd )
& ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| sP31_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f576]) ).
fof(f578,plain,
( op2(e21,e21) = e22
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f582,plain,
( op2(e22,e22) != e22
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f586,definition,
( sP32_prd
<=> ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f587,plain,
( sP30_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f564,f586]) ).
fof(f588,plain,
( ( ( ( op1(e11,e13) = e13
| op1(e11,e12) = e12
| op1(e11,e11) = e11
| op1(e11,e10) = e10
| op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ~ sP32_prd )
| sP30_prd )
& ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP32_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f587]) ).
fof(f589,plain,
( op1(e11,e11) = e11
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f594,plain,
( op1(e11,e13) != e13
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f597,definition,
( sP33_prd
<=> ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f598,plain,
( sP31_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f575,f597]) ).
fof(f599,plain,
( ( ( ( op2(e21,e23) = e23
| op2(e21,e22) = e22
| op2(e21,e21) = e21
| op2(e21,e20) = e20
| op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ~ sP33_prd )
| sP31_prd )
& ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP33_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f598]) ).
fof(f600,plain,
( op2(e21,e21) = e21
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f603,plain,
( op2(e21,e21) != e21
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f604,plain,
( op2(e21,e22) != e22
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f605,plain,
( op2(e21,e23) != e23
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f608,definition,
( sP34_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f609,plain,
( sP32_prd
<=> ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f586,f608]) ).
fof(f610,plain,
( ( ( ( op1(e10,e13) = e13
| op1(e10,e12) = e12
| op1(e10,e11) = e11
| op1(e10,e10) = e10
| op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ~ sP34_prd )
| sP32_prd )
& ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| sP34_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f609]) ).
fof(f612,plain,
( op1(e11,e10) = e11
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f619,definition,
( sP35_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f620,plain,
( sP33_prd
<=> ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f597,f619]) ).
fof(f621,plain,
( ( ( ( op2(e20,e23) = e23
| op2(e20,e22) = e22
| op2(e20,e21) = e21
| op2(e20,e20) = e20
| op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ~ sP35_prd )
| sP33_prd )
& ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| sP35_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f620]) ).
fof(f622,plain,
( op2(e21,e21) = e20
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f623,plain,
( op2(e21,e20) = e21
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f630,definition,
( sP36_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f631,plain,
( sP34_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f608,f630]) ).
fof(f632,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e13,e12) = e12
| op1(e13,e11) = e11
| op1(e13,e10) = e10
| op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& ~ sP36_prd )
| sP34_prd )
& ( ( op1(e13,e13) != e13
& op1(e13,e12) != e12
& op1(e13,e11) != e11
& op1(e13,e10) != e10
& op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| sP36_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f631]) ).
fof(f633,plain,
( op1(e10,e10) = e13
| sP36_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f641,definition,
( sP37_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f642,plain,
( sP35_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f619,f641]) ).
fof(f643,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e23,e22) = e22
| op2(e23,e21) = e21
| op2(e23,e20) = e20
| op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& ~ sP37_prd )
| sP35_prd )
& ( ( op2(e23,e23) != e23
& op2(e23,e22) != e22
& op2(e23,e21) != e21
& op2(e23,e20) != e20
& op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| sP37_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f642]) ).
fof(f644,plain,
( op2(e20,e20) = e23
| sP37_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f643]) ).
fof(f652,definition,
( sP38_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f653,plain,
( sP36_prd
<=> ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f630,f652]) ).
fof(f654,plain,
( ( ( ( op1(e12,e13) = e13
| op1(e12,e12) = e12
| op1(e12,e11) = e11
| op1(e12,e10) = e10
| op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ~ sP38_prd )
| sP36_prd )
& ( ( op1(e12,e13) != e13
& op1(e12,e12) != e12
& op1(e12,e11) != e11
& op1(e12,e10) != e10
& op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| sP38_prd
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f653]) ).
fof(f655,plain,
( op1(e10,e10) = e12
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f663,definition,
( sP39_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f664,plain,
( sP37_prd
<=> ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f641,f663]) ).
fof(f665,plain,
( ( ( ( op2(e22,e23) = e23
| op2(e22,e22) = e22
| op2(e22,e21) = e21
| op2(e22,e20) = e20
| op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ~ sP39_prd )
| sP37_prd )
& ( ( op2(e22,e23) != e23
& op2(e22,e22) != e22
& op2(e22,e21) != e21
& op2(e22,e20) != e20
& op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| sP39_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f664]) ).
fof(f666,plain,
( op2(e20,e20) = e22
| sP39_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f665]) ).
fof(f674,definition,
( sP40_prd
<=> ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f675,plain,
( sP38_prd
<=> ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f652,f674]) ).
fof(f676,plain,
( ( ( ( op1(e11,e13) = e13
| op1(e11,e12) = e12
| op1(e11,e11) = e11
| op1(e11,e10) = e10
| op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ~ sP40_prd )
| sP38_prd )
& ( ( op1(e11,e13) != e13
& op1(e11,e12) != e12
& op1(e11,e11) != e11
& op1(e11,e10) != e10
& op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| sP40_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f675]) ).
fof(f678,plain,
( op1(e10,e11) = e10
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f682,plain,
( op1(e11,e13) != e13
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f685,definition,
( sP41_prd
<=> ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f686,plain,
( sP39_prd
<=> ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f663,f685]) ).
fof(f687,plain,
( ( ( ( op2(e21,e23) = e23
| op2(e21,e22) = e22
| op2(e21,e21) = e21
| op2(e21,e20) = e20
| op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ~ sP41_prd )
| sP39_prd )
& ( ( op2(e21,e23) != e23
& op2(e21,e22) != e22
& op2(e21,e21) != e21
& op2(e21,e20) != e20
& op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| sP41_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f686]) ).
fof(f689,plain,
( op2(e20,e21) = e20
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f691,plain,
( op2(e21,e21) != e21
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f692,plain,
( op2(e21,e22) != e22
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f693,plain,
( op2(e21,e23) != e23
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f696,plain,
( ( op1(e10,e13) = e13
| op1(e10,e12) = e12
| op1(e10,e11) = e11
| op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e10,e10) != e10
| sP40_prd )
& ( ( op1(e10,e13) != e13
& op1(e10,e12) != e12
& op1(e10,e11) != e11
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f674]) ).
fof(f697,plain,
( op1(e10,e10) = e10
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f704,plain,
( ( op2(e20,e23) = e23
| op2(e20,e22) = e22
| op2(e20,e21) = e21
| op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e20,e20) != e20
| sP41_prd )
& ( ( op2(e20,e23) != e23
& op2(e20,e22) != e22
& op2(e20,e21) != e21
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f685]) ).
fof(f705,plain,
( op2(e20,e20) = e20
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f712,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f718,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( ~ sQ3_spl
| op1(e10,e10) = e13 ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f712,f715,f718,f721]) ).
fof(f725,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21,f725,f728,f731,f734]) ).
fof(f738,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f739,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f741,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f751,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f760,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f763,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f23,f751,f754,f757,f760]) ).
fof(f764,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f24,f764,f767,f770,f773]) ).
fof(f777,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( ~ sQ20_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f781,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f783,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( ~ sQ22_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f25,f777,f780,f783,f786]) ).
fof(f790,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f26,f790,f793,f796,f799]) ).
fof(f803,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f810,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f816,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f28,f816,f819,f822,f825]) ).
fof(f829,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f832,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f29,f829,f832,f835,f838]) ).
fof(f842,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ40_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f30,f842,f845,f848,f851]) ).
fof(f855,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f862,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f31,f855,f858,f861,f864]) ).
fof(f868,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f874,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f877,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f880,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f32,f868,f871,f874,f877]) ).
fof(f881,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f885,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f887,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f888,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f890,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f893,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f33,f881,f884,f887,f890]) ).
fof(f894,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f895,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f897,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f901,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f905,plain,
( sQ59_spl
| op1(e13,e12) != e13 ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f906,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f34,f894,f897,f900,f903]) ).
fof(f907,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f910,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f911,plain,
( ~ sQ61_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f913,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f35,f907,f910,f913,f916]) ).
fof(f920,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f712,f725,f738,f751]) ).
fof(f921,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f712,f764,f816,f868]) ).
fof(f926,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f42,f721,f734,f747,f760]) ).
fof(f928,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f44,f764,f777,f790,f803]) ).
fof(f929,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f45,f725,f777,f829,f881]) ).
fof(f930,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f767,f780,f793,f806]) ).
fof(f931,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f728,f780,f832,f884]) ).
fof(f932,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f48,f770,f783,f796,f809]) ).
fof(f934,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f50,f773,f786,f799,f812]) ).
fof(f935,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f734,f786,f838,f890]) ).
fof(f936,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f52,f816,f829,f842,f855]) ).
fof(f937,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f738,f790,f842,f894]) ).
fof(f938,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f54,f819,f832,f845,f858]) ).
fof(f939,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f55,f741,f793,f845,f897]) ).
fof(f941,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f744,f796,f848,f900]) ).
fof(f942,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f58,f825,f838,f851,f864]) ).
fof(f946,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f62,f871,f884,f897,f910]) ).
fof(f947,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f63,f754,f806,f858,f910]) ).
fof(f951,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f760,f812,f864,f916]) ).
fof(f952,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f955,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f958,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ66_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ67_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f68,f952,f955,f958,f961]) ).
fof(f965,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ68_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f971,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f975,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f978,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f979,plain,
( ~ sQ72_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f978]) ).
fof(f981,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f982,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f987,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f988,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f991,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f992,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f991]) ).
fof(f994,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f995,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f994]) ).
fof(f997,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1000,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1003,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f71,f991,f994,f997,f1000]) ).
fof(f1004,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1005,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1007,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1010,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f1010]) ).
fof(f1013,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1014,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f1013]) ).
fof(f1017,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1018,plain,
( ~ sQ84_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f1017]) ).
fof(f1020,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f73,f1017,f1020,f1023,f1026]) ).
fof(f1030,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1031,plain,
( ~ sQ88_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f1030]) ).
fof(f1033,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1034,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f1033]) ).
fof(f1036,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1039,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( ~ sQ91_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1043,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f1043]) ).
fof(f1046,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1052,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1053,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f1052]) ).
fof(f1055,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f75,f1043,f1046,f1049,f1052]) ).
fof(f1056,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1060,plain,
( ~ sQ97_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f1059]) ).
fof(f1062,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1063,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1065,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1069,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1070,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1072,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1075,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1077,plain,
( sQ102_spl
| op2(e22,e21) != e22 ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1079,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f77,f1069,f1072,f1075,f1078]) ).
fof(f1082,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f1082]) ).
fof(f1085,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1086,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f1085]) ).
fof(f1088,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1091,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1093,plain,
( sQ107_spl
| op2(e22,e22) != e23 ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1095,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1098,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1102,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f1101]) ).
fof(f1104,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1105,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f1104]) ).
fof(f1107,plain,
( sQ111_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f79,f1095,f1098,f1101,f1104]) ).
fof(f1108,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f1114]) ).
fof(f1117,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f1117]) ).
fof(f1120,plain,
( sQ115_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f80,f1108,f1111,f1114,f1117]) ).
fof(f1121,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1130,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1131,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f1130]) ).
fof(f1133,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f81,f1121,f1124,f1127,f1130]) ).
fof(f1134,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1135,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f1134]) ).
fof(f1137,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1138,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1140,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1141,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1143,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f82,f1134,f1137,f1140,f1143]) ).
fof(f1147,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1150,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1151,plain,
( ~ sQ125_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1153,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1156,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1157,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f1156]) ).
fof(f1159,plain,
( sQ127_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f83,f1147,f1150,f1153,f1156]) ).
fof(f1160,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f952,f965,f978,f991]) ).
fof(f1161,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f952,f1004,f1056,f1108]) ).
fof(f1165,plain,
( sQ114_spl
| sQ98_spl
| sQ82_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f89,f958,f1010,f1062,f1114]) ).
fof(f1166,plain,
( sQ79_spl
| sQ75_spl
| sQ71_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f90,f961,f974,f987,f1000]) ).
fof(f1167,plain,
( sQ115_spl
| sQ99_spl
| sQ83_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f91,f961,f1013,f1065,f1117]) ).
fof(f1168,plain,
( sQ92_spl
| sQ88_spl
| sQ84_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f92,f1004,f1017,f1030,f1043]) ).
fof(f1170,plain,
( sQ93_spl
| sQ89_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f94,f1007,f1020,f1033,f1046]) ).
fof(f1171,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f95,f968,f1020,f1072,f1124]) ).
fof(f1172,plain,
( sQ94_spl
| sQ90_spl
| sQ86_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f96,f1010,f1023,f1036,f1049]) ).
fof(f1173,plain,
( sQ118_spl
| sQ102_spl
| sQ86_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f97,f971,f1023,f1075,f1127]) ).
fof(f1175,plain,
( sQ119_spl
| sQ103_spl
| sQ87_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f99,f974,f1026,f1078,f1130]) ).
fof(f1176,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f1056,f1069,f1082,f1095]) ).
fof(f1177,plain,
( sQ120_spl
| sQ104_spl
| sQ88_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f101,f978,f1030,f1082,f1134]) ).
fof(f1178,plain,
( sQ109_spl
| sQ105_spl
| sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f102,f1059,f1072,f1085,f1098]) ).
fof(f1180,plain,
( sQ110_spl
| sQ106_spl
| sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f104,f1062,f1075,f1088,f1101]) ).
fof(f1182,plain,
( sQ111_spl
| sQ107_spl
| sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f106,f1065,f1078,f1091,f1104]) ).
fof(f1183,plain,
( sQ123_spl
| sQ107_spl
| sQ91_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f107,f987,f1039,f1091,f1143]) ).
fof(f1192,definition,
( sQ128_spl
<=> op1(op1(e10,e10),e10) = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1193,plain,
( ~ sQ128_spl
| op1(op1(e10,e10),e10) = op1(e10,e10) ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1195,definition,
( sQ129_spl
<=> op1(op1(e11,e10),e11) = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( ~ sQ129_spl
| op1(op1(e11,e10),e11) = op1(e11,e10) ),
inference(component_clause,[status(thm)],[f1195]) ).
fof(f1198,definition,
( sQ130_spl
<=> op1(op1(e12,e10),e12) = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( ~ sQ130_spl
| op1(op1(e12,e10),e12) = op1(e12,e10) ),
inference(component_clause,[status(thm)],[f1198]) ).
fof(f1201,definition,
( sQ131_spl
<=> op1(op1(e13,e10),e13) = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( ~ sQ131_spl
| op1(op1(e13,e10),e13) = op1(e13,e10) ),
inference(component_clause,[status(thm)],[f1201]) ).
fof(f1204,plain,
( sQ131_spl
| sQ130_spl
| sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f242,f1192,f1195,f1198,f1201]) ).
fof(f1205,definition,
( sQ132_spl
<=> op1(op1(e10,e11),e10) = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1206,plain,
( ~ sQ132_spl
| op1(op1(e10,e11),e10) = op1(e10,e11) ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1208,definition,
( sQ133_spl
<=> op1(op1(e11,e11),e11) = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1209,plain,
( ~ sQ133_spl
| op1(op1(e11,e11),e11) = op1(e11,e11) ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1211,definition,
( sQ134_spl
<=> op1(op1(e12,e11),e12) = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1212,plain,
( ~ sQ134_spl
| op1(op1(e12,e11),e12) = op1(e12,e11) ),
inference(component_clause,[status(thm)],[f1211]) ).
fof(f1214,definition,
( sQ135_spl
<=> op1(op1(e13,e11),e13) = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
( ~ sQ135_spl
| op1(op1(e13,e11),e13) = op1(e13,e11) ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1217,plain,
( sQ135_spl
| sQ134_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f243,f1205,f1208,f1211,f1214]) ).
fof(f1218,definition,
( sQ136_spl
<=> op1(op1(e10,e12),e10) = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( ~ sQ136_spl
| op1(op1(e10,e12),e10) = op1(e10,e12) ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1221,definition,
( sQ137_spl
<=> op1(op1(e11,e12),e11) = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1222,plain,
( ~ sQ137_spl
| op1(op1(e11,e12),e11) = op1(e11,e12) ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1224,definition,
( sQ138_spl
<=> op1(op1(e12,e12),e12) = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
( ~ sQ138_spl
| op1(op1(e12,e12),e12) = op1(e12,e12) ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1227,definition,
( sQ139_spl
<=> op1(op1(e13,e12),e13) = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1228,plain,
( ~ sQ139_spl
| op1(op1(e13,e12),e13) = op1(e13,e12) ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1230,plain,
( sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f244,f1218,f1221,f1224,f1227]) ).
fof(f1231,definition,
( sQ140_spl
<=> op1(op1(e10,e13),e10) = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1232,plain,
( ~ sQ140_spl
| op1(op1(e10,e13),e10) = op1(e10,e13) ),
inference(component_clause,[status(thm)],[f1231]) ).
fof(f1233,plain,
( sQ140_spl
| op1(op1(e10,e13),e10) != op1(e10,e13) ),
inference(component_clause,[status(thm)],[f1231]) ).
fof(f1234,definition,
( sQ141_spl
<=> op1(op1(e11,e13),e11) = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1235,plain,
( ~ sQ141_spl
| op1(op1(e11,e13),e11) = op1(e11,e13) ),
inference(component_clause,[status(thm)],[f1234]) ).
fof(f1237,definition,
( sQ142_spl
<=> op1(op1(e12,e13),e12) = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
( ~ sQ142_spl
| op1(op1(e12,e13),e12) = op1(e12,e13) ),
inference(component_clause,[status(thm)],[f1237]) ).
fof(f1239,plain,
( sQ142_spl
| op1(op1(e12,e13),e12) != op1(e12,e13) ),
inference(component_clause,[status(thm)],[f1237]) ).
fof(f1240,definition,
( sQ143_spl
<=> op1(op1(e13,e13),e13) = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1241,plain,
( ~ sQ143_spl
| op1(op1(e13,e13),e13) = op1(e13,e13) ),
inference(component_clause,[status(thm)],[f1240]) ).
fof(f1243,plain,
( sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f245,f1231,f1234,f1237,f1240]) ).
fof(f1244,definition,
( sQ144_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( sQ63_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f246,f1244,f916]) ).
fof(f1253,definition,
( sQ145_spl
<=> op2(op2(e20,e20),e20) = op2(e20,e20) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1254,plain,
( ~ sQ145_spl
| op2(op2(e20,e20),e20) = op2(e20,e20) ),
inference(component_clause,[status(thm)],[f1253]) ).
fof(f1256,definition,
( sQ146_spl
<=> op2(op2(e21,e20),e21) = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1257,plain,
( ~ sQ146_spl
| op2(op2(e21,e20),e21) = op2(e21,e20) ),
inference(component_clause,[status(thm)],[f1256]) ).
fof(f1259,definition,
( sQ147_spl
<=> op2(op2(e22,e20),e22) = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
( ~ sQ147_spl
| op2(op2(e22,e20),e22) = op2(e22,e20) ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,definition,
( sQ148_spl
<=> op2(op2(e23,e20),e23) = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( ~ sQ148_spl
| op2(op2(e23,e20),e23) = op2(e23,e20) ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,plain,
( sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f254,f1253,f1256,f1259,f1262]) ).
fof(f1266,definition,
( sQ149_spl
<=> op2(op2(e20,e21),e20) = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( ~ sQ149_spl
| op2(op2(e20,e21),e20) = op2(e20,e21) ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1269,definition,
( sQ150_spl
<=> op2(op2(e21,e21),e21) = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1270,plain,
( ~ sQ150_spl
| op2(op2(e21,e21),e21) = op2(e21,e21) ),
inference(component_clause,[status(thm)],[f1269]) ).
fof(f1271,plain,
( sQ150_spl
| op2(op2(e21,e21),e21) != op2(e21,e21) ),
inference(component_clause,[status(thm)],[f1269]) ).
fof(f1272,definition,
( sQ151_spl
<=> op2(op2(e22,e21),e22) = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1273,plain,
( ~ sQ151_spl
| op2(op2(e22,e21),e22) = op2(e22,e21) ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1275,definition,
( sQ152_spl
<=> op2(op2(e23,e21),e23) = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1276,plain,
( ~ sQ152_spl
| op2(op2(e23,e21),e23) = op2(e23,e21) ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1278,plain,
( sQ152_spl
| sQ151_spl
| sQ150_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f255,f1266,f1269,f1272,f1275]) ).
fof(f1279,definition,
( sQ153_spl
<=> op2(op2(e20,e22),e20) = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1280,plain,
( ~ sQ153_spl
| op2(op2(e20,e22),e20) = op2(e20,e22) ),
inference(component_clause,[status(thm)],[f1279]) ).
fof(f1282,definition,
( sQ154_spl
<=> op2(op2(e21,e22),e21) = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1283,plain,
( ~ sQ154_spl
| op2(op2(e21,e22),e21) = op2(e21,e22) ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1285,definition,
( sQ155_spl
<=> op2(op2(e22,e22),e22) = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( ~ sQ155_spl
| op2(op2(e22,e22),e22) = op2(e22,e22) ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,definition,
( sQ156_spl
<=> op2(op2(e23,e22),e23) = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( ~ sQ156_spl
| op2(op2(e23,e22),e23) = op2(e23,e22) ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
( sQ156_spl
| op2(op2(e23,e22),e23) != op2(e23,e22) ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,plain,
( sQ156_spl
| sQ155_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f256,f1279,f1282,f1285,f1288]) ).
fof(f1292,definition,
( sQ157_spl
<=> op2(op2(e20,e23),e20) = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( ~ sQ157_spl
| op2(op2(e20,e23),e20) = op2(e20,e23) ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1294,plain,
( sQ157_spl
| op2(op2(e20,e23),e20) != op2(e20,e23) ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1295,definition,
( sQ158_spl
<=> op2(op2(e21,e23),e21) = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1296,plain,
( ~ sQ158_spl
| op2(op2(e21,e23),e21) = op2(e21,e23) ),
inference(component_clause,[status(thm)],[f1295]) ).
fof(f1298,definition,
( sQ159_spl
<=> op2(op2(e22,e23),e22) = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1299,plain,
( ~ sQ159_spl
| op2(op2(e22,e23),e22) = op2(e22,e23) ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1300,plain,
( sQ159_spl
| op2(op2(e22,e23),e22) != op2(e22,e23) ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,definition,
( sQ160_spl
<=> op2(op2(e23,e23),e23) = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1302,plain,
( ~ sQ160_spl
| op2(op2(e23,e23),e23) = op2(e23,e23) ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1304,plain,
( sQ160_spl
| sQ159_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f257,f1292,f1295,f1298,f1301]) ).
fof(f1305,definition,
( sQ161_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
( sQ127_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f258,f1305,f1156]) ).
fof(f1314,definition,
( sQ162_spl
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1315,plain,
( ~ sQ162_spl
| h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1316,plain,
( sQ162_spl
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1317,definition,
( sQ163_spl
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1319,plain,
( sQ163_spl
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(component_clause,[status(thm)],[f1317]) ).
fof(f1320,definition,
( sQ164_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1322,plain,
( sQ164_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f1320]) ).
fof(f1323,definition,
( sQ165_spl
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1325,plain,
( sQ165_spl
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f1323]) ).
fof(f1326,definition,
( sQ166_spl
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1328,plain,
( sQ166_spl
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f1326]) ).
fof(f1329,definition,
( sQ167_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1331,plain,
( sQ167_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f1329]) ).
fof(f1332,definition,
( sQ168_spl
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
( sQ168_spl
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12)) ),
inference(component_clause,[status(thm)],[f1332]) ).
fof(f1335,definition,
( sQ169_spl
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
( sQ169_spl
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13)) ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1344,definition,
( sQ172_spl
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
( sQ172_spl
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f1344]) ).
fof(f1347,definition,
( sQ173_spl
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
( sQ173_spl
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f1347]) ).
fof(f1350,definition,
( sQ174_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1352,plain,
( sQ174_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f1350]) ).
fof(f1356,definition,
( sQ176_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1358,plain,
( sQ176_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1359,definition,
( sQ177_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1361,plain,
( sQ177_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f1359]) ).
fof(f1365,definition,
( sQ179_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1368,definition,
( sQ180_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1375,definition,
( sQ182_spl
<=> h1(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1376,plain,
( ~ sQ182_spl
| h1(e11) = e23 ),
inference(component_clause,[status(thm)],[f1375]) ).
fof(f1377,plain,
( sQ182_spl
| h1(e11) != e23 ),
inference(component_clause,[status(thm)],[f1375]) ).
fof(f1379,definition,
( sQ183_spl
<=> h1(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1381,plain,
( sQ183_spl
| h1(e12) != e23 ),
inference(component_clause,[status(thm)],[f1379]) ).
fof(f1387,definition,
( sQ185_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1388,plain,
( ~ sQ185_spl
| h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f1387]) ).
fof(f1389,plain,
( sQ185_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f1387]) ).
fof(f1390,definition,
( sQ186_spl
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1392,plain,
( sQ186_spl
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1393,definition,
( sQ187_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( sQ187_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f1393]) ).
fof(f1396,definition,
( sQ188_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1398,plain,
( sQ188_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,definition,
( sQ189_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1401,plain,
( sQ189_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1402,definition,
( sQ190_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1404,plain,
( sQ190_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f1402]) ).
fof(f1405,definition,
( sQ191_spl
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1407,plain,
( sQ191_spl
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1408,definition,
( sQ192_spl
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1410,plain,
( sQ192_spl
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f1408]) ).
fof(f1417,definition,
( sQ195_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
( sQ195_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1417]) ).
fof(f1420,definition,
( sQ196_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( sQ196_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1423,definition,
( sQ197_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1425,plain,
( sQ197_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f1423]) ).
fof(f1426,definition,
( sQ198_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1428,plain,
( sQ198_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1426]) ).
fof(f1429,definition,
( sQ199_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1431,plain,
( sQ199_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1432,definition,
( sQ200_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1433,plain,
( ~ sQ200_spl
| h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1432]) ).
fof(f1434,plain,
( sQ200_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1432]) ).
fof(f1435,definition,
( sQ201_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1438,definition,
( sQ202_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1441,definition,
( sQ203_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1460,definition,
( sQ208_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1461,plain,
( ~ sQ208_spl
| h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1462,plain,
( sQ208_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1463,definition,
( sQ209_spl
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1465,plain,
( sQ209_spl
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11)) ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1466,definition,
( sQ210_spl
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( sQ210_spl
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1469,definition,
( sQ211_spl
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
( sQ211_spl
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1469]) ).
fof(f1472,definition,
( sQ212_spl
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1474,plain,
( sQ212_spl
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,definition,
( sQ213_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1477,plain,
( sQ213_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1478,definition,
( sQ214_spl
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1480,plain,
( sQ214_spl
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f1478]) ).
fof(f1481,definition,
( sQ215_spl
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1483,plain,
( sQ215_spl
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(component_clause,[status(thm)],[f1481]) ).
fof(f1490,definition,
( sQ218_spl
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1492,plain,
( sQ218_spl
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f1490]) ).
fof(f1493,definition,
( sQ219_spl
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1495,plain,
( sQ219_spl
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(component_clause,[status(thm)],[f1493]) ).
fof(f1496,definition,
( sQ220_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1498,plain,
( sQ220_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f1496]) ).
fof(f1502,definition,
( sQ222_spl
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1504,plain,
( sQ222_spl
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1505,definition,
( sQ223_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1507,plain,
( sQ223_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1505]) ).
fof(f1508,definition,
( sQ224_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1511,definition,
( sQ225_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1514,definition,
( sQ226_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1517,definition,
( sQ227_spl
<=> h3(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1518,plain,
( ~ sQ227_spl
| h3(e10) = e23 ),
inference(component_clause,[status(thm)],[f1517]) ).
fof(f1519,plain,
( sQ227_spl
| h3(e10) != e23 ),
inference(component_clause,[status(thm)],[f1517]) ).
fof(f1525,definition,
( sQ229_spl
<=> h3(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1526,plain,
( ~ sQ229_spl
| h3(e12) = e23 ),
inference(component_clause,[status(thm)],[f1525]) ).
fof(f1527,plain,
( sQ229_spl
| h3(e12) != e23 ),
inference(component_clause,[status(thm)],[f1525]) ).
fof(f1533,definition,
( sQ231_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1535,plain,
( sQ231_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1533]) ).
fof(f1536,definition,
( sQ232_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1538,plain,
( sQ232_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f1536]) ).
fof(f1539,definition,
( sQ233_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1541,plain,
( sQ233_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1542,definition,
( sQ234_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1543,plain,
( ~ sQ234_spl
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f1542]) ).
fof(f1544,plain,
( sQ234_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f1542]) ).
fof(f1545,definition,
( sQ235_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
( sQ235_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f1545]) ).
fof(f1548,definition,
( sQ236_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1550,plain,
( sQ236_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f1548]) ).
fof(f1551,definition,
( sQ237_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ237_spl
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1553,plain,
( sQ237_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1554,definition,
( sQ238_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1556,plain,
( sQ238_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f1554]) ).
fof(f1557,definition,
( sQ239_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1559,plain,
( sQ239_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1557]) ).
fof(f1560,definition,
( sQ240_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1562,plain,
( sQ240_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f1560]) ).
fof(f1563,definition,
( sQ241_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( sQ241_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f1563]) ).
fof(f1566,definition,
( sQ242_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1568,plain,
( sQ242_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f1566]) ).
fof(f1569,definition,
( sQ243_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1571,plain,
( sQ243_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f1569]) ).
fof(f1572,definition,
( sQ244_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
( sQ244_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f1572]) ).
fof(f1575,definition,
( sQ245_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1577,plain,
( sQ245_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f1575]) ).
fof(f1578,definition,
( sQ246_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1579,plain,
( ~ sQ246_spl
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1578]) ).
fof(f1580,plain,
( sQ246_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1578]) ).
fof(f1581,definition,
( sQ247_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1584,definition,
( sQ248_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1587,definition,
( sQ249_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1602,definition,
( sQ253_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
( ~ sQ253_spl
| h4(e13) = e23 ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1604,plain,
( sQ253_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1605,plain,
( ~ sQ253_spl
| sQ249_spl
| sQ248_spl
| sQ247_spl
| ~ sQ246_spl
| ~ sQ245_spl
| ~ sQ244_spl
| ~ sQ243_spl
| ~ sQ242_spl
| ~ sQ241_spl
| ~ sQ240_spl
| ~ sQ239_spl
| ~ sQ238_spl
| ~ sQ237_spl
| ~ sQ236_spl
| ~ sQ235_spl
| ~ sQ234_spl
| ~ sQ233_spl
| ~ sQ232_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f315,f1533,f1536,f1539,f1542,f1545,f1548,f1551,f1554,f1557,f1560,f1563,f1566,f1569,f1572,f1575,f1578,f1581,f1584,f1587,f1602]) ).
fof(f1606,definition,
( sQ254_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1609,plain,
( sQ62_spl
| sQ254_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f319,f1244,f1606,f913]) ).
fof(f1617,definition,
( sQ255_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1620,plain,
( sQ126_spl
| sQ255_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f330,f1305,f1617,f1153]) ).
fof(f1645,definition,
( sQ260_spl
<=> h1(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1647,plain,
( sQ260_spl
| h1(e10) != e21 ),
inference(component_clause,[status(thm)],[f1645]) ).
fof(f1648,plain,
( ~ sQ260_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f345,f1365,f1645]) ).
fof(f1649,definition,
( sQ261_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1650,plain,
( ~ sQ261_spl
| h1(e11) = e21 ),
inference(component_clause,[status(thm)],[f1649]) ).
fof(f1651,plain,
( sQ261_spl
| h1(e11) != e21 ),
inference(component_clause,[status(thm)],[f1649]) ).
fof(f1653,definition,
( sQ262_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1654,plain,
( ~ sQ262_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f1653]) ).
fof(f1657,definition,
( sQ263_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1658,plain,
( ~ sQ263_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f1657]) ).
fof(f1662,definition,
( sQ264_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1663,plain,
( ~ sQ264_spl
| h1(e10) = e22 ),
inference(component_clause,[status(thm)],[f1662]) ).
fof(f1666,definition,
( sQ265_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1667,plain,
( ~ sQ265_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1668,plain,
( sQ265_spl
| h1(e11) != e22 ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1670,definition,
( sQ266_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1671,plain,
( ~ sQ266_spl
| h1(e12) = e22 ),
inference(component_clause,[status(thm)],[f1670]) ).
fof(f1672,plain,
( sQ266_spl
| h1(e12) != e22 ),
inference(component_clause,[status(thm)],[f1670]) ).
fof(f1673,plain,
( ~ sQ266_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f353,f1368,f1670]) ).
fof(f1674,definition,
( sQ267_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1675,plain,
( ~ sQ267_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f1674]) ).
fof(f1678,plain,
( sQ267_spl
| sQ266_spl
| sQ265_spl
| sQ264_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f355,f1368,f1662,f1666,f1670,f1674]) ).
fof(f1679,definition,
( sQ268_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1680,plain,
( ~ sQ268_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f1679]) ).
fof(f1681,plain,
( sQ268_spl
| h2(e10) != e20 ),
inference(component_clause,[status(thm)],[f1679]) ).
fof(f1683,definition,
( sQ269_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1684,plain,
( ~ sQ269_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1687,definition,
( sQ270_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f1688,plain,
( ~ sQ270_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f1687]) ).
fof(f1691,definition,
( sQ271_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1692,plain,
( ~ sQ271_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f1691]) ).
fof(f1695,plain,
( sQ271_spl
| sQ270_spl
| sQ269_spl
| sQ268_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f361,f1435,f1679,f1683,f1687,f1691]) ).
fof(f1696,definition,
( sQ272_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( ~ sQ272_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1698,plain,
( sQ272_spl
| h2(e10) != e21 ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1700,definition,
( sQ273_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1701,plain,
( ~ sQ273_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f1700]) ).
fof(f1702,plain,
( sQ273_spl
| h2(e11) != e21 ),
inference(component_clause,[status(thm)],[f1700]) ).
fof(f1704,definition,
( sQ274_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1705,plain,
( ~ sQ274_spl
| h2(e12) = e21 ),
inference(component_clause,[status(thm)],[f1704]) ).
fof(f1706,plain,
( sQ274_spl
| h2(e12) != e21 ),
inference(component_clause,[status(thm)],[f1704]) ).
fof(f1708,definition,
( sQ275_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f1710,plain,
( sQ275_spl
| h2(e13) != e21 ),
inference(component_clause,[status(thm)],[f1708]) ).
fof(f1711,plain,
( ~ sQ275_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f366,f1438,f1708]) ).
fof(f1713,definition,
( sQ276_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f1714,plain,
( ~ sQ276_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f1713]) ).
fof(f1717,definition,
( sQ277_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f1718,plain,
( ~ sQ277_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f1717]) ).
fof(f1721,definition,
( sQ278_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f1722,plain,
( ~ sQ278_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f1721]) ).
fof(f1725,definition,
( sQ279_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f1726,plain,
( ~ sQ279_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1729,plain,
( sQ279_spl
| sQ278_spl
| sQ277_spl
| sQ276_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f373,f1441,f1713,f1717,f1721,f1725]) ).
fof(f1730,definition,
( sQ280_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f1731,plain,
( ~ sQ280_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f1730]) ).
fof(f1732,plain,
( sQ280_spl
| h3(e10) != e20 ),
inference(component_clause,[status(thm)],[f1730]) ).
fof(f1733,plain,
( ~ sQ280_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f375,f1508,f1730]) ).
fof(f1734,definition,
( sQ281_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f1735,plain,
( ~ sQ281_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f1734]) ).
fof(f1736,plain,
( sQ281_spl
| h3(e11) != e20 ),
inference(component_clause,[status(thm)],[f1734]) ).
fof(f1742,definition,
( sQ283_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f1743,plain,
( ~ sQ283_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f1742]) ).
fof(f1747,definition,
( sQ284_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f1748,plain,
( ~ sQ284_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f1747]) ).
fof(f1749,plain,
( sQ284_spl
| h3(e10) != e21 ),
inference(component_clause,[status(thm)],[f1747]) ).
fof(f1751,definition,
( sQ285_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f1752,plain,
( ~ sQ285_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f1751]) ).
fof(f1753,plain,
( sQ285_spl
| h3(e11) != e21 ),
inference(component_clause,[status(thm)],[f1751]) ).
fof(f1754,plain,
( ~ sQ285_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f382,f1511,f1751]) ).
fof(f1755,definition,
( sQ286_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f1756,plain,
( ~ sQ286_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f1755]) ).
fof(f1759,definition,
( sQ287_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f1760,plain,
( ~ sQ287_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f1759]) ).
fof(f1764,definition,
( sQ288_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f1765,plain,
( ~ sQ288_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f1764]) ).
fof(f1766,plain,
( sQ288_spl
| h3(e10) != e22 ),
inference(component_clause,[status(thm)],[f1764]) ).
fof(f1768,definition,
( sQ289_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f1769,plain,
( ~ sQ289_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f1768]) ).
fof(f1770,plain,
( sQ289_spl
| h3(e11) != e22 ),
inference(component_clause,[status(thm)],[f1768]) ).
fof(f1776,definition,
( sQ291_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f1778,plain,
( sQ291_spl
| h3(e13) != e22 ),
inference(component_clause,[status(thm)],[f1776]) ).
fof(f1779,plain,
( ~ sQ291_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f390,f1514,f1776]) ).
fof(f1781,definition,
( sQ292_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f1783,plain,
( sQ292_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1784,plain,
( ~ sQ292_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f393,f1581,f1781]) ).
fof(f1785,definition,
( sQ293_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f1786,plain,
( ~ sQ293_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f1785]) ).
fof(f1789,definition,
( sQ294_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f1790,plain,
( ~ sQ294_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f1789]) ).
fof(f1793,definition,
( sQ295_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f1794,plain,
( ~ sQ295_spl
| h4(e13) = e20 ),
inference(component_clause,[status(thm)],[f1793]) ).
fof(f1798,definition,
( sQ296_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f1799,plain,
( ~ sQ296_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f1798]) ).
fof(f1802,definition,
( sQ297_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f1803,plain,
( ~ sQ297_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f1802]) ).
fof(f1804,plain,
( sQ297_spl
| h4(e11) != e21 ),
inference(component_clause,[status(thm)],[f1802]) ).
fof(f1805,plain,
( ~ sQ297_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f400,f1584,f1802]) ).
fof(f1806,definition,
( sQ298_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f1807,plain,
( ~ sQ298_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f1806]) ).
fof(f1815,definition,
( sQ300_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f1816,plain,
( ~ sQ300_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f1815]) ).
fof(f1819,definition,
( sQ301_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f1820,plain,
( ~ sQ301_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f1819]) ).
fof(f1823,definition,
( sQ302_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f1824,plain,
( ~ sQ302_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1826,plain,
( ~ sQ302_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f407,f1587,f1823]) ).
fof(f1832,definition,
( sQ304_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f1835,plain,
( sQ61_spl
| sQ304_spl
| ~ sQ254_spl ),
inference(split_clause,[status(thm)],[f413,f1606,f1832,f910]) ).
fof(f1843,definition,
( sQ305_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( sQ125_spl
| sQ305_spl
| ~ sQ255_spl ),
inference(split_clause,[status(thm)],[f424,f1617,f1843,f1150]) ).
fof(f1854,definition,
( sQ306_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f1858,plain,
( sQ51_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f436,f1832,f1854,f877]) ).
fof(f1860,plain,
( ~ sQ5_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f438,f1832,f1854,f728]) ).
fof(f1861,plain,
( ~ sQ10_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f439,f1832,f1854,f744]) ).
fof(f1865,definition,
( sQ307_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f1869,plain,
( sQ115_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f447,f1843,f1865,f1117]) ).
fof(f1871,plain,
( ~ sQ69_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f449,f1843,f1865,f968]) ).
fof(f1876,definition,
( sQ308_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f1879,plain,
( sQ43_spl
| sQ308_spl
| ~ sQ306_spl ),
inference(split_clause,[status(thm)],[f457,f1854,f1876,f851]) ).
fof(f1880,plain,
( sQ46_spl
| sQ308_spl
| ~ sQ306_spl ),
inference(split_clause,[status(thm)],[f458,f1854,f1876,f861]) ).
fof(f1885,plain,
( ~ sQ308_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f463,f1854,f1876]) ).
fof(f1887,definition,
( sQ309_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f1890,plain,
( sQ107_spl
| sQ309_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f468,f1865,f1887,f1091]) ).
fof(f1891,plain,
( sQ110_spl
| sQ309_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f469,f1865,f1887,f1101]) ).
fof(f1896,plain,
( ~ sQ309_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f474,f1865,f1887]) ).
fof(f1898,definition,
( sQ310_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f1901,plain,
( sQ42_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f479,f1876,f1898,f848]) ).
fof(f1905,plain,
( ~ sQ42_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f483,f1876,f1898,f848]) ).
fof(f1906,plain,
( ~ sQ47_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f484,f1876,f1898,f864]) ).
fof(f1907,plain,
( ~ sQ310_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f485,f1876,f1898]) ).
fof(f1909,definition,
( sQ311_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f1912,plain,
( sQ106_spl
| sQ311_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f490,f1887,f1909,f1088]) ).
fof(f1914,plain,
( ~ sQ96_spl
| sQ311_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f492,f1887,f1909,f1056]) ).
fof(f1916,plain,
( ~ sQ106_spl
| sQ311_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f494,f1887,f1909,f1088]) ).
fof(f1918,plain,
( ~ sQ311_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f496,f1887,f1909]) ).
fof(f1920,definition,
( sQ312_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f1923,plain,
( sQ41_spl
| sQ312_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f501,f1898,f1920,f845]) ).
fof(f1924,plain,
( sQ38_spl
| sQ312_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f502,f1898,f1920,f835]) ).
fof(f1927,plain,
( ~ sQ26_spl
| sQ312_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f505,f1898,f1920,f796]) ).
fof(f1929,plain,
( ~ sQ312_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f507,f1898,f1920]) ).
fof(f1931,definition,
( sQ313_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f1934,plain,
( sQ105_spl
| sQ313_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f512,f1909,f1931,f1085]) ).
fof(f1938,plain,
( ~ sQ90_spl
| sQ313_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f516,f1909,f1931,f1036]) ).
fof(f1939,plain,
( ~ sQ95_spl
| sQ313_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f517,f1909,f1931,f1052]) ).
fof(f1940,plain,
( ~ sQ313_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f518,f1909,f1931]) ).
fof(f1942,definition,
( sQ314_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
( sQ40_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f523,f1920,f1942,f842]) ).
fof(f1946,plain,
( sQ34_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f524,f1920,f1942,f822]) ).
fof(f1951,plain,
( ~ sQ314_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f529,f1920,f1942]) ).
fof(f1953,definition,
( sQ315_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f1956,plain,
( sQ104_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f534,f1931,f1953,f1082]) ).
fof(f1957,plain,
( sQ98_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f535,f1931,f1953,f1062]) ).
fof(f1963,plain,
( sQ79_spl
| sQ74_spl
| sQ69_spl
| sQ64_spl
| ~ sQ98_spl
| ~ sQ104_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f541,f1931,f1082,f1062,f952,f968,f984,f1000]) ).
fof(f1964,definition,
( sQ316_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f1967,plain,
( sQ23_spl
| sQ316_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f545,f1942,f1964,f786]) ).
fof(f1973,plain,
( ~ sQ316_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f551,f1942,f1964]) ).
fof(f1975,definition,
( sQ317_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f1978,plain,
( sQ87_spl
| sQ317_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f556,f1953,f1975,f1026]) ).
fof(f1981,plain,
( ~ sQ117_spl
| sQ317_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f559,f1953,f1975,f1124]) ).
fof(f1986,definition,
( sQ318_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f1989,plain,
( sQ22_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f567,f1964,f1986,f783]) ).
fof(f1991,plain,
( ~ sQ32_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f569,f1964,f1986,f816]) ).
fof(f1993,plain,
( ~ sQ42_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f571,f1964,f1986,f848]) ).
fof(f1994,plain,
( ~ sQ47_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f572,f1964,f1986,f864]) ).
fof(f1996,plain,
( sQ47_spl
| sQ42_spl
| sQ37_spl
| sQ32_spl
| ~ sQ25_spl
| ~ sQ22_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f574,f1964,f783,f793,f816,f832,f848,f864]) ).
fof(f1997,definition,
( sQ319_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f2000,plain,
( sQ86_spl
| sQ319_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f578,f1975,f1997,f1023]) ).
fof(f2004,plain,
( ~ sQ106_spl
| sQ319_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f582,f1975,f1997,f1088]) ).
fof(f2008,definition,
( sQ320_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f2011,plain,
( sQ21_spl
| sQ320_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f589,f1986,f2008,f780]) ).
fof(f2016,plain,
( ~ sQ31_spl
| sQ320_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f594,f1986,f2008,f812]) ).
fof(f2019,definition,
( sQ321_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f2022,plain,
( sQ85_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f600,f1997,f2019,f1020]) ).
fof(f2025,plain,
( ~ sQ85_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f603,f1997,f2019,f1020]) ).
fof(f2026,plain,
( ~ sQ90_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f604,f1997,f2019,f1036]) ).
fof(f2027,plain,
( ~ sQ95_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f605,f1997,f2019,f1052]) ).
fof(f2030,definition,
( sQ322_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f2034,plain,
( sQ17_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f612,f2008,f2030,f767]) ).
fof(f2041,definition,
( sQ323_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f2044,plain,
( sQ84_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f622,f2019,f2041,f1017]) ).
fof(f2045,plain,
( sQ81_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f623,f2019,f2041,f1007]) ).
fof(f2052,definition,
( sQ324_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f2055,plain,
( sQ3_spl
| sQ324_spl
| ~ sQ322_spl ),
inference(split_clause,[status(thm)],[f633,f2030,f2052,f721]) ).
fof(f2063,definition,
( sQ325_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f2066,plain,
( sQ67_spl
| sQ325_spl
| ~ sQ323_spl ),
inference(split_clause,[status(thm)],[f644,f2041,f2063,f961]) ).
fof(f2074,definition,
( sQ326_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2077,plain,
( sQ2_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f655,f2052,f2074,f718]) ).
fof(f2085,definition,
( sQ327_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2088,plain,
( sQ66_spl
| sQ327_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f666,f2063,f2085,f958]) ).
fof(f2096,definition,
( sQ328_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2100,plain,
( sQ4_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f678,f2074,f2096,f725]) ).
fof(f2104,plain,
( ~ sQ31_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f682,f2074,f2096,f812]) ).
fof(f2107,definition,
( sQ329_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f2111,plain,
( sQ68_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f689,f2085,f2107,f965]) ).
fof(f2113,plain,
( ~ sQ85_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f691,f2085,f2107,f1020]) ).
fof(f2114,plain,
( ~ sQ90_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f692,f2085,f2107,f1036]) ).
fof(f2115,plain,
( ~ sQ95_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f693,f2085,f2107,f1052]) ).
fof(f2118,plain,
( sQ0_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f697,f2096,f712]) ).
fof(f2125,plain,
( sQ64_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f705,f2107,f952]) ).
fof(f2134,plain,
( sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f282,f1604]) ).
fof(f2135,plain,
sQ253_spl,
inference(contradiction_clause,[status(thm)],[f2134]) ).
fof(f2169,plain,
( sQ223_spl
| h3(op1(e13,e13)) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f278,f1507]) ).
fof(f2170,plain,
( sQ223_spl
| h3(op1(e13,e13)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f278,f2169]) ).
fof(f2178,plain,
( ~ sQ297_spl
| ~ sQ301_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1820,f1803]) ).
fof(f2179,plain,
( ~ sQ297_spl
| ~ sQ301_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2178,f221]) ).
fof(f2180,plain,
( ~ sQ297_spl
| ~ sQ301_spl ),
inference(contradiction_clause,[status(thm)],[f2179]) ).
fof(f2188,plain,
( sQ222_spl
| h3(op1(e13,e12)) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f278,f1504]) ).
fof(f2193,plain,
( ~ sQ287_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f278,f1760]) ).
fof(f2194,plain,
( ~ sQ287_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2193,f221]) ).
fof(f2195,plain,
~ sQ287_spl,
inference(contradiction_clause,[status(thm)],[f2194]) ).
fof(f2202,plain,
( ~ sQ285_spl
| ~ sQ289_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1769,f1752]) ).
fof(f2203,plain,
( ~ sQ285_spl
| ~ sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2202,f221]) ).
fof(f2204,plain,
( ~ sQ285_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f2203]) ).
fof(f2205,plain,
( ~ sQ284_spl
| ~ sQ288_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1765,f1748]) ).
fof(f2206,plain,
( ~ sQ284_spl
| ~ sQ288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2205,f221]) ).
fof(f2207,plain,
( ~ sQ284_spl
| ~ sQ288_spl ),
inference(contradiction_clause,[status(thm)],[f2206]) ).
fof(f2208,plain,
( ~ sQ283_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f278,f1743]) ).
fof(f2209,plain,
( ~ sQ283_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2208,f219]) ).
fof(f2210,plain,
~ sQ283_spl,
inference(contradiction_clause,[status(thm)],[f2209]) ).
fof(f2212,plain,
( sQ220_spl
| h3(op1(e13,e10)) != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f278,f1498]) ).
fof(f2213,plain,
( sQ220_spl
| ~ sQ280_spl
| h3(op1(e13,e10)) != op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f1731,f2212]) ).
fof(f2214,plain,
( ~ sQ279_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f274,f1726]) ).
fof(f2215,plain,
( ~ sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2214,f221]) ).
fof(f2216,plain,
~ sQ279_spl,
inference(contradiction_clause,[status(thm)],[f2215]) ).
fof(f2218,plain,
( sQ223_spl
| h3(e10) != op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f264,f2170]) ).
fof(f2219,plain,
op1(e13,e12) != e10,
inference(backward_demodulation,[status(thm)],[f264,f163]) ).
fof(f2220,plain,
op1(e13,e11) != e10,
inference(backward_demodulation,[status(thm)],[f264,f162]) ).
fof(f2221,plain,
op1(e13,e10) != e10,
inference(backward_demodulation,[status(thm)],[f264,f160]) ).
fof(f2222,plain,
op1(e12,e13) != e10,
inference(backward_demodulation,[status(thm)],[f264,f139]) ).
fof(f2223,plain,
op1(e11,e13) != e10,
inference(backward_demodulation,[status(thm)],[f264,f138]) ).
fof(f2229,plain,
e11 = op1(e10,op1(e13,e13)),
inference(forward_demodulation,[status(thm)],[f264,f265]) ).
fof(f2233,plain,
e11 != op1(e13,e10),
inference(backward_demodulation,[status(thm)],[f2236,f118]) ).
fof(f2234,plain,
e11 != op1(e12,e10),
inference(backward_demodulation,[status(thm)],[f2236,f117]) ).
fof(f2235,plain,
e11 != op1(e11,e10),
inference(backward_demodulation,[status(thm)],[f2236,f116]) ).
fof(f2236,plain,
e11 = op1(e10,e10),
inference(forward_demodulation,[status(thm)],[f264,f2229]) ).
fof(f2238,plain,
op1(e10,e11) != e12,
inference(backward_demodulation,[status(thm)],[f2241,f144]) ).
fof(f2239,plain,
e12 != op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f2241,f135]) ).
fof(f2240,plain,
e12 != op1(e11,e13),
inference(backward_demodulation,[status(thm)],[f2241,f134]) ).
fof(f2241,plain,
e12 = op1(e10,e13),
inference(forward_demodulation,[status(thm)],[f264,f266]) ).
fof(f2242,plain,
op2(e23,e22) != e20,
inference(backward_demodulation,[status(thm)],[f267,f211]) ).
fof(f2243,plain,
op2(e23,e21) != e20,
inference(backward_demodulation,[status(thm)],[f267,f210]) ).
fof(f2244,plain,
op2(e23,e20) != e20,
inference(backward_demodulation,[status(thm)],[f267,f208]) ).
fof(f2245,plain,
op2(e22,e23) != e20,
inference(backward_demodulation,[status(thm)],[f267,f187]) ).
fof(f2246,plain,
op2(e21,e23) != e20,
inference(backward_demodulation,[status(thm)],[f267,f186]) ).
fof(f2250,plain,
( ~ sQ274_spl
| ~ sQ278_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1722,f1705]) ).
fof(f2251,plain,
( ~ sQ274_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2250,f221]) ).
fof(f2252,plain,
( ~ sQ274_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f2251]) ).
fof(f2253,plain,
( ~ sQ273_spl
| ~ sQ277_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1718,f1701]) ).
fof(f2254,plain,
( ~ sQ273_spl
| ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2253,f221]) ).
fof(f2255,plain,
( ~ sQ273_spl
| ~ sQ277_spl ),
inference(contradiction_clause,[status(thm)],[f2254]) ).
fof(f2256,plain,
e21 = op2(e20,op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f267,f268]) ).
fof(f2260,plain,
e21 != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f2263,f166]) ).
fof(f2261,plain,
e21 != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f2263,f165]) ).
fof(f2262,plain,
e21 != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f2263,f164]) ).
fof(f2263,plain,
e21 = op2(e20,e20),
inference(forward_demodulation,[status(thm)],[f267,f2256]) ).
fof(f2265,plain,
op2(e20,e21) != e22,
inference(backward_demodulation,[status(thm)],[f2268,f192]) ).
fof(f2266,plain,
e22 != op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f2268,f183]) ).
fof(f2267,plain,
e22 != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f2268,f182]) ).
fof(f2268,plain,
e22 = op2(e20,e23),
inference(forward_demodulation,[status(thm)],[f267,f269]) ).
fof(f2269,plain,
( ~ sQ272_spl
| ~ sQ276_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1714,f1697]) ).
fof(f2270,plain,
( ~ sQ272_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2269,f221]) ).
fof(f2271,plain,
( ~ sQ272_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f2270]) ).
fof(f2272,plain,
( ~ sQ271_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f274,f1692]) ).
fof(f2273,plain,
( ~ sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2272,f218]) ).
fof(f2274,plain,
~ sQ271_spl,
inference(contradiction_clause,[status(thm)],[f2273]) ).
fof(f2277,plain,
h1(e10) = e21,
inference(forward_demodulation,[status(thm)],[f2263,f271]) ).
fof(f2278,plain,
h1(e11) = op2(e21,op2(e20,e20)),
inference(forward_demodulation,[status(thm)],[f2263,f272]) ).
fof(f2279,plain,
h1(e11) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f2285,f198]) ).
fof(f2280,plain,
h1(e11) != op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f2285,f197]) ).
fof(f2282,plain,
h1(e11) != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f2285,f174]) ).
fof(f2283,plain,
h1(e11) != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f2285,f173]) ).
fof(f2284,plain,
op2(e20,e21) != h1(e11),
inference(backward_demodulation,[status(thm)],[f2285,f170]) ).
fof(f2285,plain,
h1(e11) = op2(e21,e21),
inference(forward_demodulation,[status(thm)],[f2263,f2278]) ).
fof(f2286,plain,
h1(e12) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f2290,f196]) ).
fof(f2290,plain,
h1(e12) = op2(e21,e20),
inference(forward_demodulation,[status(thm)],[f2263,f273]) ).
fof(f2294,plain,
( ~ sQ267_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f270,f1675]) ).
fof(f2295,plain,
( ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2294,f219]) ).
fof(f2296,plain,
~ sQ267_spl,
inference(contradiction_clause,[status(thm)],[f2295]) ).
fof(f2298,plain,
( ~ sQ268_spl
| e20 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1680,f275]) ).
fof(f2301,plain,
( ~ sQ268_spl
| e20 = h1(e11) ),
inference(forward_demodulation,[status(thm)],[f2285,f2298]) ).
fof(f2305,plain,
( ~ sQ265_spl
| ~ sQ268_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2301,f1667]) ).
fof(f2306,plain,
( ~ sQ265_spl
| ~ sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2305,f219]) ).
fof(f2307,plain,
( ~ sQ265_spl
| ~ sQ268_spl ),
inference(contradiction_clause,[status(thm)],[f2306]) ).
fof(f2308,plain,
( ~ sQ264_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f2277,f1663]) ).
fof(f2309,plain,
( ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2308,f221]) ).
fof(f2310,plain,
~ sQ264_spl,
inference(contradiction_clause,[status(thm)],[f2309]) ).
fof(f2317,plain,
( ~ sQ280_spl
| op2(e21,e22) != e20 ),
inference(backward_demodulation,[status(thm)],[f2319,f179]) ).
fof(f2319,plain,
( ~ sQ280_spl
| e20 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1731,f279]) ).
fof(f2320,plain,
( ~ sQ281_spl
| e20 = op2(op2(e22,e22),op2(e22,e22)) ),
inference(forward_demodulation,[status(thm)],[f1735,f280]) ).
fof(f2321,plain,
( ~ sQ281_spl
| ~ sQ280_spl
| e20 = op2(e20,op2(e22,e22)) ),
inference(forward_demodulation,[status(thm)],[f2319,f2320]) ).
fof(f2322,plain,
( ~ sQ281_spl
| ~ sQ280_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2319,f2321]) ).
fof(f2323,plain,
( ~ sQ281_spl
| ~ sQ280_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2263,f2322]) ).
fof(f2324,plain,
( ~ sQ281_spl
| ~ sQ280_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2323,f218]) ).
fof(f2325,plain,
( ~ sQ281_spl
| ~ sQ280_spl ),
inference(contradiction_clause,[status(thm)],[f2324]) ).
fof(f2326,plain,
( ~ sQ263_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f270,f1658]) ).
fof(f2327,plain,
( ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2326,f218]) ).
fof(f2328,plain,
~ sQ263_spl,
inference(contradiction_clause,[status(thm)],[f2327]) ).
fof(f2338,plain,
( ~ sQ293_spl
| e20 = op2(op2(e23,e23),op2(e23,e23)) ),
inference(forward_demodulation,[status(thm)],[f1786,f284]) ).
fof(f2339,plain,
( ~ sQ293_spl
| e20 = op2(e20,op2(e23,e23)) ),
inference(forward_demodulation,[status(thm)],[f267,f2338]) ).
fof(f2340,plain,
( ~ sQ293_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f267,f2339]) ).
fof(f2341,plain,
( ~ sQ293_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2263,f2340]) ).
fof(f2342,plain,
( ~ sQ293_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2341,f218]) ).
fof(f2343,plain,
~ sQ293_spl,
inference(contradiction_clause,[status(thm)],[f2342]) ).
fof(f2344,plain,
h4(e11) = op2(e20,op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f267,f284]) ).
fof(f2345,plain,
h4(e11) = op2(e20,e20),
inference(forward_demodulation,[status(thm)],[f267,f2344]) ).
fof(f2346,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f2263,f2345]) ).
fof(f2347,plain,
( ~ sQ265_spl
| ~ sQ261_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1650,f1667]) ).
fof(f2348,plain,
( ~ sQ265_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2347,f221]) ).
fof(f2349,plain,
( ~ sQ265_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f2348]) ).
fof(f2350,plain,
( ~ sQ294_spl
| e20 = op2(op2(e23,e23),e23) ),
inference(forward_demodulation,[status(thm)],[f1790,f285]) ).
fof(f2351,plain,
( ~ sQ294_spl
| e20 = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f267,f2350]) ).
fof(f2352,plain,
( ~ sQ294_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2268,f2351]) ).
fof(f2353,plain,
( ~ sQ294_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2352,f219]) ).
fof(f2354,plain,
~ sQ294_spl,
inference(contradiction_clause,[status(thm)],[f2353]) ).
fof(f2355,plain,
h4(e12) = op2(e20,e23),
inference(forward_demodulation,[status(thm)],[f267,f285]) ).
fof(f2356,plain,
h4(e12) = e22,
inference(forward_demodulation,[status(thm)],[f2268,f2355]) ).
fof(f2360,plain,
( ~ sQ295_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1794,f282]) ).
fof(f2361,plain,
( ~ sQ295_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2360,f220]) ).
fof(f2362,plain,
~ sQ295_spl,
inference(contradiction_clause,[status(thm)],[f2361]) ).
fof(f2363,plain,
h4(e10) = e20,
inference(forward_demodulation,[status(thm)],[f267,f283]) ).
fof(f2372,plain,
( sQ211_spl
| h3(e12) != op2(h3(e10),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f2241,f1471]) ).
fof(f2377,plain,
( sQ208_spl
| h3(e11) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f2236,f1462]) ).
fof(f2379,plain,
( sQ200_spl
| h2(e10) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f264,f1434]) ).
fof(f2380,plain,
( sQ200_spl
| h2(e10) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f274,f2379]) ).
fof(f2381,plain,
( sQ200_spl
| h2(e10) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f274,f2380]) ).
fof(f2384,plain,
( sQ199_spl
| h2(op1(e13,e12)) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f274,f1431]) ).
fof(f2386,plain,
( sQ198_spl
| h2(op1(e13,e11)) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f1428]) ).
fof(f2388,plain,
( sQ197_spl
| h2(op1(e13,e10)) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f274,f1425]) ).
fof(f2422,plain,
( sQ188_spl
| h2(e12) != op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2241,f1398]) ).
fof(f2429,plain,
( ~ sQ289_spl
| ~ sQ281_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1735,f1769]) ).
fof(f2430,plain,
( ~ sQ289_spl
| ~ sQ281_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2429,f219]) ).
fof(f2431,plain,
( ~ sQ289_spl
| ~ sQ281_spl ),
inference(contradiction_clause,[status(thm)],[f2430]) ).
fof(f2436,plain,
( sQ219_spl
| h3(op1(e12,e13)) != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f1495]) ).
fof(f2441,plain,
( sQ215_spl
| h3(op1(e11,e13)) != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f1483]) ).
fof(f2442,plain,
( ~ sQ280_spl
| ~ sQ284_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1748,f1731]) ).
fof(f2443,plain,
( ~ sQ280_spl
| ~ sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2442,f218]) ).
fof(f2444,plain,
( ~ sQ280_spl
| ~ sQ284_spl ),
inference(contradiction_clause,[status(thm)],[f2443]) ).
fof(f2445,plain,
( sQ211_spl
| h3(e12) != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f2372]) ).
fof(f2448,plain,
( sQ185_spl
| h2(e11) != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2236,f1389]) ).
fof(f2450,plain,
( sQ177_spl
| h1(e10) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f264,f1361]) ).
fof(f2451,plain,
( sQ177_spl
| e21 != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f2277,f2450]) ).
fof(f2452,plain,
( sQ177_spl
| e21 != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f270,f2451]) ).
fof(f2453,plain,
( sQ177_spl
| e21 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f2452]) ).
fof(f2454,plain,
( sQ177_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2263,f2453]) ).
fof(f2455,plain,
( sQ177_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2454]) ).
fof(f2456,plain,
sQ177_spl,
inference(contradiction_clause,[status(thm)],[f2455]) ).
fof(f2463,plain,
( sQ176_spl
| h1(op1(e13,e12)) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f270,f1358]) ).
fof(f2466,plain,
( sQ174_spl
| h1(op1(e13,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f270,f1352]) ).
fof(f2467,plain,
( sQ174_spl
| h1(op1(e13,e10)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2277,f2466]) ).
fof(f2468,plain,
( sQ173_spl
| h1(op1(e12,e13)) != op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f270,f1349]) ).
fof(f2473,plain,
( sQ192_spl
| h2(op1(e11,e13)) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f1410]) ).
fof(f2476,plain,
( sQ169_spl
| h1(op1(e11,e13)) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f270,f1337]) ).
fof(f2477,plain,
( ~ sQ274_spl
| ~ sQ270_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1688,f1705]) ).
fof(f2478,plain,
( ~ sQ274_spl
| ~ sQ270_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2477,f218]) ).
fof(f2479,plain,
( ~ sQ274_spl
| ~ sQ270_spl ),
inference(contradiction_clause,[status(thm)],[f2478]) ).
fof(f2480,plain,
( sQ188_spl
| h2(e12) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f2422]) ).
fof(f2481,plain,
( sQ196_spl
| h2(op1(e12,e13)) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f1422]) ).
fof(f2482,plain,
( sQ166_spl
| h1(op1(e11,e10)) != op2(h1(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f2277,f1328]) ).
fof(f2483,plain,
( sQ165_spl
| h1(e12) != op2(h1(e10),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f2241,f1325]) ).
fof(f2484,plain,
( sQ165_spl
| h1(e12) != op2(e21,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f2277,f2483]) ).
fof(f2485,plain,
( sQ165_spl
| h1(e12) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f2484]) ).
fof(f2487,plain,
( sQ164_spl
| h1(op1(e10,e12)) != op2(e21,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f2277,f1322]) ).
fof(f2488,plain,
( sQ163_spl
| h1(op1(e10,e11)) != op2(e21,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f2277,f1319]) ).
fof(f2500,plain,
( sQ162_spl
| h1(e11) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f2236,f1316]) ).
fof(f2501,plain,
( sQ162_spl
| h1(e11) != op2(e21,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f2277,f2500]) ).
fof(f2502,plain,
( sQ162_spl
| h1(e11) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2277,f2501]) ).
fof(f2508,plain,
( ~ sQ24_spl
| op1(e11,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f791,f147]) ).
fof(f2510,plain,
( ~ sQ24_spl
| e10 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f791,f131]) ).
fof(f2511,plain,
( ~ sQ24_spl
| op1(e10,e12) != e10 ),
inference(backward_demodulation,[status(thm)],[f791,f128]) ).
fof(f2513,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2510,f842,f790]) ).
fof(f2514,plain,
( ~ sQ15_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f2241,f761]) ).
fof(f2515,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2514,f217]) ).
fof(f2516,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f2515]) ).
fof(f2519,plain,
( sQ246_spl
| h4(e10) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f264,f1580]) ).
fof(f2520,plain,
( sQ246_spl
| ~ sQ253_spl
| h4(e10) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1603,f2519]) ).
fof(f2521,plain,
( sQ246_spl
| ~ sQ253_spl
| h4(e10) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f2520]) ).
fof(f2522,plain,
( sQ246_spl
| ~ sQ253_spl
| h4(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f267,f2521]) ).
fof(f2525,plain,
( sQ246_spl
| ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2363,f2522]) ).
fof(f2526,plain,
( sQ246_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f2525]) ).
fof(f2527,plain,
( ~ sQ246_spl
| h4(e10) = op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f264,f1579]) ).
fof(f2528,plain,
( ~ sQ246_spl
| ~ sQ253_spl
| h4(e10) = op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1603,f2527]) ).
fof(f2529,plain,
( ~ sQ246_spl
| ~ sQ253_spl
| h4(e10) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f2528]) ).
fof(f2530,plain,
( ~ sQ246_spl
| ~ sQ253_spl
| h4(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f267,f2529]) ).
fof(f2531,plain,
( ~ sQ118_spl
| e22 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f1128,f209]) ).
fof(f2532,plain,
( ~ sQ118_spl
| op2(e23,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f1128,f206]) ).
fof(f2533,plain,
( ~ sQ118_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1128,f175]) ).
fof(f2535,plain,
( ~ sQ114_spl
| e22 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f1115,f207]) ).
fof(f2536,plain,
( ~ sQ114_spl
| op2(e22,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f1115,f169]) ).
fof(f2537,plain,
( ~ sQ109_spl
| op2(e22,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f1099,f204]) ).
fof(f2539,plain,
( sQ245_spl
| ~ sQ253_spl
| h4(op1(e13,e12)) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1603,f1577]) ).
fof(f2540,plain,
( sQ245_spl
| ~ sQ253_spl
| ~ sQ302_spl
| h4(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1824,f2539]) ).
fof(f2541,plain,
( ~ sQ77_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2268,f995]) ).
fof(f2542,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2541,f221]) ).
fof(f2543,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f2542]) ).
fof(f2545,plain,
( sQ245_spl
| ~ sQ253_spl
| ~ sQ302_spl
| ~ sQ121_spl
| h4(op1(e13,e12)) != e21 ),
inference(backward_demodulation,[status(thm)],[f1138,f2540]) ).
fof(f2557,plain,
( sQ242_spl
| ~ sQ302_spl
| h4(op1(e12,e13)) != op2(e22,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1824,f1568]) ).
fof(f2558,plain,
( sQ242_spl
| ~ sQ302_spl
| ~ sQ253_spl
| h4(op1(e12,e13)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f2557]) ).
fof(f2583,plain,
( ~ sQ73_spl
| ~ sQ75_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f988,f982]) ).
fof(f2584,plain,
( ~ sQ73_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2583,f222]) ).
fof(f2585,plain,
( ~ sQ73_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f2584]) ).
fof(f2586,plain,
( ~ sQ67_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f2263,f962]) ).
fof(f2587,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2586,f222]) ).
fof(f2588,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f2587]) ).
fof(f2592,plain,
( ~ sQ79_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f2268,f1001]) ).
fof(f2593,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2592,f223]) ).
fof(f2594,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f2593]) ).
fof(f2610,plain,
( sQ240_spl
| ~ sQ302_spl
| h4(op1(e12,e11)) != op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1824,f1562]) ).
fof(f2611,plain,
( sQ240_spl
| ~ sQ302_spl
| ~ sQ297_spl
| h4(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1803,f2610]) ).
fof(f2616,plain,
( ~ sQ82_spl
| ~ sQ83_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1014,f1011]) ).
fof(f2617,plain,
( ~ sQ82_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2616,f223]) ).
fof(f2618,plain,
( ~ sQ82_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f2617]) ).
fof(f2630,plain,
( ~ sQ54_spl
| e12 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f888,f161]) ).
fof(f2632,plain,
( ~ sQ54_spl
| op1(e12,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f888,f127]) ).
fof(f2633,plain,
( ~ sQ54_spl
| op1(e11,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f888,f126]) ).
fof(f2636,plain,
( ~ sQ50_spl
| e12 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f875,f159]) ).
fof(f2637,plain,
( ~ sQ50_spl
| op1(e12,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f875,f121]) ).
fof(f2639,plain,
( sQ242_spl
| ~ sQ302_spl
| ~ sQ253_spl
| ~ sQ45_spl
| h4(e11) != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f859,f2558]) ).
fof(f2640,plain,
( ~ sQ45_spl
| op1(e12,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f859,f157]) ).
fof(f2641,plain,
( ~ sQ45_spl
| op1(e12,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f859,f156]) ).
fof(f2643,plain,
( sQ242_spl
| ~ sQ302_spl
| ~ sQ253_spl
| ~ sQ45_spl
| ~ sQ297_spl
| e21 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1803,f2639]) ).
fof(f2644,plain,
( ~ sQ13_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f2241,f755]) ).
fof(f2645,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2644,f215]) ).
fof(f2646,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f2645]) ).
fof(f2648,plain,
( ~ sQ57_spl
| op1(e12,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f898,f133]) ).
fof(f2650,plain,
( sQ244_spl
| ~ sQ54_spl
| h4(e12) != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f888,f1574]) ).
fof(f2654,plain,
( sQ292_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2363,f1783]) ).
fof(f2655,plain,
sQ292_spl,
inference(contradiction_clause,[status(thm)],[f2654]) ).
fof(f2685,plain,
( ~ sQ11_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f748,f129]) ).
fof(f2689,plain,
( sQ240_spl
| ~ sQ302_spl
| ~ sQ297_spl
| ~ sQ39_spl
| h4(e13) != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f839,f2611]) ).
fof(f2691,plain,
( ~ sQ39_spl
| op1(e12,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f839,f152]) ).
fof(f2693,plain,
( ~ sQ39_spl
| op1(e10,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f839,f123]) ).
fof(f2694,plain,
( sQ240_spl
| ~ sQ302_spl
| ~ sQ297_spl
| ~ sQ39_spl
| ~ sQ253_spl
| e23 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1603,f2689]) ).
fof(f2695,plain,
( ~ sQ35_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f826,f153]) ).
fof(f2697,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f748,f742]) ).
fof(f2698,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2697,f216]) ).
fof(f2699,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2698]) ).
fof(f2700,plain,
( ~ sQ3_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f2236,f722]) ).
fof(f2701,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2700,f216]) ).
fof(f2702,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f2701]) ).
fof(f2707,plain,
( sQ237_spl
| ~ sQ297_spl
| h4(op1(e11,e12)) != op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1803,f1553]) ).
fof(f2718,plain,
( ~ sQ7_spl
| e13 != op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f735,f122]) ).
fof(f2720,plain,
( ~ sQ7_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2718,f786,f734]) ).
fof(f2727,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f774,f765]) ).
fof(f2728,plain,
( ~ sQ16_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2727,f214]) ).
fof(f2729,plain,
( ~ sQ16_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2728]) ).
fof(f2730,plain,
( ~ sQ63_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f264,f917]) ).
fof(f2731,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2730,f214]) ).
fof(f2732,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f2731]) ).
fof(f2734,plain,
( ~ sQ0_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f2236,f713]) ).
fof(f2735,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2734,f212]) ).
fof(f2736,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f2735]) ).
fof(f2738,plain,
( ~ sQ24_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2508,f764,f790]) ).
fof(f2739,plain,
( ~ sQ2_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f2236,f719]) ).
fof(f2740,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2739,f215]) ).
fof(f2741,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f2740]) ).
fof(f2749,plain,
( ~ sQ160_spl
| op2(e20,e23) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f267,f1302]) ).
fof(f2750,plain,
( ~ sQ160_spl
| e22 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f2268,f2749]) ).
fof(f2751,plain,
( ~ sQ160_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f267,f2750]) ).
fof(f2752,plain,
( ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2751,f219]) ).
fof(f2753,plain,
~ sQ160_spl,
inference(contradiction_clause,[status(thm)],[f2752]) ).
fof(f2757,plain,
( ~ sQ157_spl
| op2(e22,e20) = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2268,f1293]) ).
fof(f2758,plain,
( ~ sQ157_spl
| op2(e22,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f2268,f2757]) ).
fof(f2759,plain,
( sQ232_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e10,e11)) != op2(e20,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2530,f1538]) ).
fof(f2762,plain,
( ~ sQ68_spl
| ~ sQ71_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f975,f966]) ).
fof(f2763,plain,
( ~ sQ68_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2762,f220]) ).
fof(f2764,plain,
( ~ sQ68_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2763]) ).
fof(f2765,plain,
( sQ239_spl
| ~ sQ302_spl
| h4(op1(e12,e10)) != op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1824,f1559]) ).
fof(f2766,plain,
( sQ239_spl
| ~ sQ302_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e12,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2530,f2765]) ).
fof(f2767,plain,
( sQ239_spl
| ~ sQ302_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ157_spl
| h4(op1(e12,e10)) != e22 ),
inference(forward_demodulation,[status(thm)],[f2758,f2766]) ).
fof(f2768,plain,
( ~ sQ125_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f267,f1151]) ).
fof(f2769,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2768,f218]) ).
fof(f2770,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f2769]) ).
fof(f2777,plain,
( ~ sQ147_spl
| ~ sQ157_spl
| op2(e22,e22) = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2758,f1260]) ).
fof(f2780,plain,
( ~ sQ147_spl
| ~ sQ157_spl
| op2(e22,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f2758,f2777]) ).
fof(f2787,plain,
( sQ291_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f278,f1778]) ).
fof(f2788,plain,
( sQ291_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2787]) ).
fof(f2789,plain,
sQ291_spl,
inference(contradiction_clause,[status(thm)],[f2788]) ).
fof(f2790,plain,
( sQ233_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e10,e12)) != op2(e20,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2530,f1541]) ).
fof(f2792,plain,
( ~ sQ145_spl
| op2(e21,e20) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2263,f1254]) ).
fof(f2793,plain,
( ~ sQ145_spl
| op2(e21,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f2263,f2792]) ).
fof(f2796,plain,
( ~ sQ143_spl
| op1(e10,e13) = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f264,f1241]) ).
fof(f2797,plain,
( ~ sQ143_spl
| e12 = op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f2241,f2796]) ).
fof(f2798,plain,
( ~ sQ143_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f264,f2797]) ).
fof(f2799,plain,
( ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2798,f213]) ).
fof(f2800,plain,
~ sQ143_spl,
inference(contradiction_clause,[status(thm)],[f2799]) ).
fof(f2804,plain,
( sQ243_spl
| ~ sQ253_spl
| h4(op1(e13,e10)) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1603,f1571]) ).
fof(f2805,plain,
( sQ243_spl
| ~ sQ253_spl
| ~ sQ246_spl
| h4(op1(e13,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f2530,f2804]) ).
fof(f2806,plain,
( ~ sQ140_spl
| op1(e12,e10) = op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f2241,f1232]) ).
fof(f2807,plain,
( sQ239_spl
| ~ sQ302_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ157_spl
| ~ sQ140_spl
| h4(e12) != e22 ),
inference(backward_demodulation,[status(thm)],[f2808,f2767]) ).
fof(f2808,plain,
( ~ sQ140_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f2241,f2806]) ).
fof(f2809,plain,
( sQ239_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ157_spl
| ~ sQ140_spl
| ~ sQ302_spl ),
inference(split_clause,[status(thm)],[f2807,f1823,f1231,f1292,f1602,f1578,f1557]) ).
fof(f2812,plain,
( sQ157_spl
| op2(e22,e20) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2268,f1294]) ).
fof(f2813,plain,
( sQ157_spl
| op2(e22,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f2268,f2812]) ).
fof(f2814,plain,
( sQ162_spl
| ~ sQ261_spl
| e21 != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f1650,f2502]) ).
fof(f2818,plain,
( sQ162_spl
| ~ sQ261_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f2814,f1020,f1649,f1314]) ).
fof(f2820,plain,
( ~ sQ162_spl
| h1(e11) = op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f2236,f1315]) ).
fof(f2821,plain,
( ~ sQ162_spl
| ~ sQ261_spl
| e21 = op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1650,f2820]) ).
fof(f2822,plain,
( ~ sQ162_spl
| ~ sQ261_spl
| e21 = op2(e21,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f2277,f2821]) ).
fof(f2823,plain,
( ~ sQ162_spl
| ~ sQ261_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2277,f2822]) ).
fof(f2824,plain,
( sQ234_spl
| h4(e12) != op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2241,f1544]) ).
fof(f2831,plain,
( sQ234_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(e12) != op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2530,f2824]) ).
fof(f2832,plain,
( sQ234_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(e12) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f2831]) ).
fof(f2833,plain,
( sQ234_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f2268,f2832]) ).
fof(f2844,plain,
( sQ238_spl
| ~ sQ253_spl
| h4(op1(e11,e13)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f1556]) ).
fof(f2845,plain,
( ~ sQ296_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2530,f1799]) ).
fof(f2846,plain,
( ~ sQ296_spl
| ~ sQ246_spl
| ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2845,f218]) ).
fof(f2847,plain,
( ~ sQ296_spl
| ~ sQ246_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f2846]) ).
fof(f2848,plain,
( ~ sQ300_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2530,f1816]) ).
fof(f2849,plain,
( ~ sQ300_spl
| ~ sQ246_spl
| ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2848,f219]) ).
fof(f2850,plain,
( ~ sQ300_spl
| ~ sQ246_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f2849]) ).
fof(f2851,plain,
( sQ234_spl
| ~ sQ246_spl
| ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2356,f2833]) ).
fof(f2852,plain,
( sQ234_spl
| ~ sQ246_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f2851]) ).
fof(f2853,plain,
( ~ sQ234_spl
| h4(e12) = op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2241,f1543]) ).
fof(f2854,plain,
( ~ sQ234_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(e12) = op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2530,f2853]) ).
fof(f2855,plain,
( ~ sQ234_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(e12) = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f2854]) ).
fof(f2856,plain,
( ~ sQ234_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f2268,f2855]) ).
fof(f2857,plain,
( sQ231_spl
| h4(e11) != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2236,f1535]) ).
fof(f2858,plain,
( sQ231_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(e11) != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2530,f2857]) ).
fof(f2859,plain,
( sQ231_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(e11) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2530,f2858]) ).
fof(f2860,plain,
( sQ231_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f2263,f2859]) ).
fof(f2861,plain,
( sQ231_spl
| ~ sQ246_spl
| ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2346,f2860]) ).
fof(f2862,plain,
( sQ231_spl
| ~ sQ246_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f2861]) ).
fof(f2867,plain,
( ~ sQ130_spl
| ~ sQ140_spl
| op1(e12,e12) = op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f2808,f1199]) ).
fof(f2869,plain,
( ~ sQ130_spl
| ~ sQ140_spl
| op1(e12,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f2808,f2867]) ).
fof(f2871,plain,
( ~ sQ129_spl
| ~ sQ18_spl
| op1(e12,e11) = op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f771,f1196]) ).
fof(f2873,plain,
( ~ sQ129_spl
| ~ sQ18_spl
| op1(e12,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f771,f2871]) ).
fof(f2881,plain,
( ~ sQ128_spl
| op1(e11,e10) = op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f2236,f1193]) ).
fof(f2886,plain,
( ~ sQ128_spl
| op1(e11,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f2236,f2881]) ).
fof(f2890,plain,
( sQ243_spl
| ~ sQ253_spl
| ~ sQ246_spl
| ~ sQ115_spl
| h4(op1(e13,e10)) != e23 ),
inference(backward_demodulation,[status(thm)],[f1118,f2805]) ).
fof(f2891,plain,
( ~ sQ148_spl
| ~ sQ115_spl
| op2(op2(e23,e20),e23) = e23 ),
inference(backward_demodulation,[status(thm)],[f1118,f1263]) ).
fof(f2892,plain,
( ~ sQ148_spl
| ~ sQ115_spl
| op2(e23,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f1118,f2891]) ).
fof(f2893,plain,
( ~ sQ148_spl
| ~ sQ115_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f267,f2892]) ).
fof(f2894,plain,
( ~ sQ148_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2893,f220]) ).
fof(f2895,plain,
( ~ sQ148_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f2894]) ).
fof(f2896,plain,
( ~ sQ150_spl
| ~ sQ86_spl
| op2(op2(e21,e21),e21) = e22 ),
inference(backward_demodulation,[status(thm)],[f1024,f1270]) ).
fof(f2897,plain,
( ~ sQ150_spl
| ~ sQ86_spl
| op2(e22,e21) = e22 ),
inference(forward_demodulation,[status(thm)],[f1024,f2896]) ).
fof(f2898,plain,
( ~ sQ234_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ298_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1807,f2856]) ).
fof(f2899,plain,
( ~ sQ234_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ298_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2898,f221]) ).
fof(f2900,plain,
( ~ sQ234_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ298_spl ),
inference(contradiction_clause,[status(thm)],[f2899]) ).
fof(f2901,plain,
( ~ sQ234_spl
| ~ sQ246_spl
| ~ sQ253_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f2856,f1823,f1602,f1578,f1542]) ).
fof(f2909,plain,
( sQ235_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e11,e10)) != op2(h4(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f2530,f1547]) ).
fof(f2916,plain,
( ~ sQ106_spl
| ~ sQ107_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1092,f1089]) ).
fof(f2917,plain,
( ~ sQ106_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2916,f223]) ).
fof(f2918,plain,
( ~ sQ106_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f2917]) ).
fof(f2920,plain,
( ~ sQ132_spl
| ~ sQ4_spl
| op1(op1(e10,e11),e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f726,f1206]) ).
fof(f2921,plain,
( ~ sQ132_spl
| ~ sQ4_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f726,f2920]) ).
fof(f2922,plain,
( ~ sQ132_spl
| ~ sQ4_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f2236,f2921]) ).
fof(f2923,plain,
( ~ sQ132_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2922,f212]) ).
fof(f2924,plain,
( ~ sQ132_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2923]) ).
fof(f2928,plain,
( ~ sQ61_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f264,f911]) ).
fof(f2929,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2928,f212]) ).
fof(f2930,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f2929]) ).
fof(f2948,plain,
( ~ sQ131_spl
| ~ sQ51_spl
| op1(op1(e13,e10),e13) = e13 ),
inference(backward_demodulation,[status(thm)],[f878,f1202]) ).
fof(f2949,plain,
( ~ sQ131_spl
| ~ sQ51_spl
| op1(e13,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f878,f2948]) ).
fof(f2950,plain,
( ~ sQ131_spl
| ~ sQ51_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f264,f2949]) ).
fof(f2951,plain,
( ~ sQ131_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2950,f214]) ).
fof(f2952,plain,
( ~ sQ131_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2951]) ).
fof(f2960,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2691,f825,f838]) ).
fof(f2964,plain,
( sQ140_spl
| op1(e12,e10) != op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f2241,f1233]) ).
fof(f2965,plain,
( sQ140_spl
| op1(e12,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f2241,f2964]) ).
fof(f2971,plain,
( ~ sQ153_spl
| ~ sQ72_spl
| op2(op2(e20,e22),e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f979,f1280]) ).
fof(f2972,plain,
( ~ sQ153_spl
| ~ sQ72_spl
| op2(e20,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f979,f2971]) ).
fof(f2973,plain,
( ~ sQ153_spl
| ~ sQ72_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2263,f2972]) ).
fof(f2974,plain,
( ~ sQ153_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2973,f218]) ).
fof(f2975,plain,
( ~ sQ153_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f2974]) ).
fof(f2976,plain,
( ~ sQ66_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f2263,f959]) ).
fof(f2977,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2976,f221]) ).
fof(f2978,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f2977]) ).
fof(f2979,plain,
( ~ sQ64_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2263,f953]) ).
fof(f2980,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2979,f218]) ).
fof(f2981,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f2980]) ).
fof(f2982,plain,
( ~ sQ127_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f267,f1157]) ).
fof(f2983,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2982,f220]) ).
fof(f2984,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f2983]) ).
fof(f2986,plain,
( ~ sQ136_spl
| ~ sQ8_spl
| op1(op1(e10,e12),e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f739,f1219]) ).
fof(f2987,plain,
( ~ sQ136_spl
| ~ sQ8_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f739,f2986]) ).
fof(f2988,plain,
( ~ sQ136_spl
| ~ sQ8_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f2236,f2987]) ).
fof(f2989,plain,
( ~ sQ136_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2988,f212]) ).
fof(f2990,plain,
( ~ sQ136_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f2989]) ).
fof(f2991,plain,
( ~ sQ76_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f2268,f992]) ).
fof(f2992,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2991,f219]) ).
fof(f2993,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f2992]) ).
fof(f2995,plain,
( ~ sQ12_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f2241,f752]) ).
fof(f2996,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2995,f213]) ).
fof(f2997,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f2996]) ).
fof(f3001,plain,
( ~ sQ154_spl
| ~ sQ89_spl
| op2(op2(e21,e22),e21) = e21 ),
inference(backward_demodulation,[status(thm)],[f1034,f1283]) ).
fof(f3002,plain,
( ~ sQ154_spl
| ~ sQ89_spl
| op2(e21,e21) = e21 ),
inference(forward_demodulation,[status(thm)],[f1034,f3001]) ).
fof(f3004,plain,
( ~ sQ137_spl
| ~ sQ25_spl
| op1(op1(e11,e12),e11) = e11 ),
inference(backward_demodulation,[status(thm)],[f794,f1222]) ).
fof(f3005,plain,
( ~ sQ137_spl
| ~ sQ25_spl
| op1(e11,e11) = e11 ),
inference(forward_demodulation,[status(thm)],[f794,f3004]) ).
fof(f3008,plain,
( ~ sQ141_spl
| ~ sQ29_spl
| op1(op1(e11,e13),e11) = e11 ),
inference(backward_demodulation,[status(thm)],[f807,f1235]) ).
fof(f3009,plain,
( ~ sQ141_spl
| ~ sQ29_spl
| op1(e11,e11) = e11 ),
inference(forward_demodulation,[status(thm)],[f807,f3008]) ).
fof(f3011,plain,
( ~ sQ151_spl
| ~ sQ102_spl
| op2(op2(e22,e21),e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f1076,f1273]) ).
fof(f3012,plain,
( ~ sQ151_spl
| ~ sQ102_spl
| op2(e22,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f1076,f3011]) ).
fof(f3032,plain,
( ~ sQ126_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f267,f1154]) ).
fof(f3033,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3032,f219]) ).
fof(f3034,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f3033]) ).
fof(f3038,plain,
( ~ sQ96_spl
| ~ sQ98_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1063,f1057]) ).
fof(f3039,plain,
( ~ sQ96_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3038,f219]) ).
fof(f3040,plain,
( ~ sQ96_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f3039]) ).
fof(f3041,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1034,f1031]) ).
fof(f3042,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3041,f218]) ).
fof(f3043,plain,
( ~ sQ88_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3042]) ).
fof(f3046,plain,
( ~ sQ118_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f2531,f1140,f1127]) ).
fof(f3047,plain,
( ~ sQ118_spl
| ~ sQ102_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1076,f2533]) ).
fof(f3048,plain,
( ~ sQ118_spl
| ~ sQ102_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3047]) ).
fof(f3049,plain,
( ~ sQ118_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f3048]) ).
fof(f3055,plain,
( ~ sQ114_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f2536,f1062,f1114]) ).
fof(f3056,plain,
( ~ sQ106_spl
| ~ sQ105_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1086,f1089]) ).
fof(f3057,plain,
( ~ sQ106_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3056,f221]) ).
fof(f3058,plain,
( ~ sQ106_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f3057]) ).
fof(f3059,plain,
( ~ sQ154_spl
| ~ sQ89_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f3002,f1020,f1033,f1282]) ).
fof(f3068,plain,
( ~ sQ62_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f264,f914]) ).
fof(f3069,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3068,f213]) ).
fof(f3070,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f3069]) ).
fof(f3072,plain,
( ~ sQ50_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2636,f900,f874]) ).
fof(f3073,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2637,f822,f874]) ).
fof(f3079,plain,
( ~ sQ54_spl
| ~ sQ38_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f836,f2632]) ).
fof(f3080,plain,
( ~ sQ54_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3079]) ).
fof(f3081,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3080]) ).
fof(f3082,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2633,f783,f887]) ).
fof(f3085,plain,
( sQ244_spl
| ~ sQ54_spl
| e22 != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2356,f2650]) ).
fof(f3086,plain,
( sQ244_spl
| ~ sQ54_spl
| ~ sQ253_spl
| e22 != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1603,f3085]) ).
fof(f3087,plain,
( sQ244_spl
| ~ sQ54_spl
| ~ sQ253_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2346,f3086]) ).
fof(f3089,plain,
( sQ297_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2346,f1804]) ).
fof(f3090,plain,
( sQ297_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3089]) ).
fof(f3091,plain,
sQ297_spl,
inference(contradiction_clause,[status(thm)],[f3090]) ).
fof(f3107,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f807,f813]) ).
fof(f3108,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3107,f216]) ).
fof(f3109,plain,
( ~ sQ31_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f3108]) ).
fof(f3110,plain,
( sQ238_spl
| ~ sQ253_spl
| h4(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2346,f2844]) ).
fof(f3114,plain,
( ~ sQ35_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2695,f851,f825]) ).
fof(f3122,plain,
( ~ sQ261_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1650,f2279]) ).
fof(f3123,plain,
( ~ sQ261_spl
| ~ sQ93_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1047,f3122]) ).
fof(f3124,plain,
( ~ sQ261_spl
| ~ sQ93_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3123]) ).
fof(f3125,plain,
( ~ sQ261_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f3124]) ).
fof(f3130,plain,
( ~ sQ109_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f2537,f1072,f1098]) ).
fof(f3140,plain,
( ~ sQ237_spl
| ~ sQ25_spl
| h4(e11) = op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f794,f1552]) ).
fof(f3141,plain,
( ~ sQ237_spl
| ~ sQ25_spl
| e21 = op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2346,f3140]) ).
fof(f3142,plain,
( ~ sQ237_spl
| ~ sQ25_spl
| e21 = op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2346,f3141]) ).
fof(f3143,plain,
( ~ sQ237_spl
| ~ sQ25_spl
| e21 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2356,f3142]) ).
fof(f3147,plain,
( ~ sQ90_spl
| h1(e11) != e22 ),
inference(backward_demodulation,[status(thm)],[f1037,f2280]) ).
fof(f3153,plain,
( ~ sQ87_spl
| h1(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f1027,f2285]) ).
fof(f3154,plain,
( ~ sQ87_spl
| sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3153,f1377]) ).
fof(f3155,plain,
( ~ sQ87_spl
| sQ182_spl ),
inference(contradiction_clause,[status(thm)],[f3154]) ).
fof(f3158,plain,
( ~ sQ182_spl
| e23 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f1376,f2282]) ).
fof(f3162,plain,
( ~ sQ272_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1697,f275]) ).
fof(f3166,plain,
( ~ sQ182_spl
| e23 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1376,f2285]) ).
fof(f3167,plain,
( sQ275_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f274,f1710]) ).
fof(f3168,plain,
( sQ275_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3167]) ).
fof(f3169,plain,
sQ275_spl,
inference(contradiction_clause,[status(thm)],[f3168]) ).
fof(f3172,plain,
( ~ sQ90_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1037,f179]) ).
fof(f3173,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f804,f2223]) ).
fof(f3174,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f3173]) ).
fof(f3175,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f810,f2240]) ).
fof(f3176,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f3175]) ).
fof(f3177,plain,
( ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f895,f2219]) ).
fof(f3178,plain,
~ sQ56_spl,
inference(contradiction_clause,[status(thm)],[f3177]) ).
fof(f3179,plain,
( ~ sQ57_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2648,f845,f897]) ).
fof(f3181,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f794,f797]) ).
fof(f3182,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3181,f215]) ).
fof(f3183,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f3182]) ).
fof(f3186,plain,
( ~ sQ90_spl
| e22 != h3(e10) ),
inference(backward_demodulation,[status(thm)],[f279,f3172]) ).
fof(f3187,plain,
h3(e10) != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f279,f181]) ).
fof(f3191,plain,
( ~ sQ262_spl
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1654,f2290]) ).
fof(f3192,plain,
( ~ sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3191,f2262]) ).
fof(f3193,plain,
~ sQ262_spl,
inference(contradiction_clause,[status(thm)],[f3192]) ).
fof(f3195,plain,
( ~ sQ95_spl
| h1(e12) != e23 ),
inference(forward_demodulation,[status(thm)],[f1053,f2286]) ).
fof(f3196,plain,
( sQ260_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2277,f1647]) ).
fof(f3197,plain,
( sQ260_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3196]) ).
fof(f3198,plain,
sQ260_spl,
inference(contradiction_clause,[status(thm)],[f3197]) ).
fof(f3199,plain,
h3(e12) = op2(h3(e10),e22),
inference(forward_demodulation,[status(thm)],[f279,f281]) ).
fof(f3200,plain,
( sQ211_spl
| h3(e12) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3199,f2445]) ).
fof(f3201,plain,
( sQ211_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3200]) ).
fof(f3202,plain,
sQ211_spl,
inference(contradiction_clause,[status(thm)],[f3201]) ).
fof(f3205,plain,
h3(e11) = op2(h3(e10),op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f279,f280]) ).
fof(f3206,plain,
h3(e11) = op2(h3(e10),h3(e10)),
inference(forward_demodulation,[status(thm)],[f279,f3205]) ).
fof(f3207,plain,
( sQ208_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3206,f2377]) ).
fof(f3208,plain,
sQ208_spl,
inference(contradiction_clause,[status(thm)],[f3207]) ).
fof(f3209,plain,
( ~ sQ208_spl
| h3(e11) = op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f2236,f1461]) ).
fof(f3211,plain,
( sQ213_spl
| ~ sQ21_spl
| h3(e11) != op2(h3(e11),h3(e11)) ),
inference(backward_demodulation,[status(thm)],[f781,f1477]) ).
fof(f3214,plain,
( sQ210_spl
| ~ sQ11_spl
| h3(e13) != op2(h3(e10),h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f748,f1468]) ).
fof(f3217,plain,
( sQ210_spl
| ~ sQ11_spl
| e22 != op2(h3(e10),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f278,f3214]) ).
fof(f3219,plain,
( sQ191_spl
| ~ sQ25_spl
| h2(e11) != op2(h2(e11),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f794,f1407]) ).
fof(f3220,plain,
( sQ187_spl
| ~ sQ11_spl
| h2(e13) != op2(h2(e10),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f748,f1395]) ).
fof(f3221,plain,
( sQ187_spl
| ~ sQ11_spl
| e21 != op2(h2(e10),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f274,f3220]) ).
fof(f3222,plain,
( sQ198_spl
| ~ sQ53_spl
| h2(e11) != op2(e21,h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f885,f2386]) ).
fof(f3224,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f781,f784]) ).
fof(f3225,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3224,f215]) ).
fof(f3226,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3225]) ).
fof(f3234,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f820,f2234]) ).
fof(f3235,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f3234]) ).
fof(f3237,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f862,f2239]) ).
fof(f3238,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f3237]) ).
fof(f3241,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f872,f2233]) ).
fof(f3242,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f3241]) ).
fof(f3246,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2685,f851,f747]) ).
fof(f3247,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f856,f2222]) ).
fof(f3248,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f3247]) ).
fof(f3252,plain,
( sQ140_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2965,f822,f1231]) ).
fof(f3253,plain,
( sQ237_spl
| ~ sQ297_spl
| h4(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2356,f2707]) ).
fof(f3254,plain,
( sQ237_spl
| ~ sQ297_spl
| ~ sQ90_spl
| h4(op1(e11,e12)) != e22 ),
inference(forward_demodulation,[status(thm)],[f1037,f3253]) ).
fof(f3256,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2693,f734,f838]) ).
fof(f3258,plain,
( ~ sQ45_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2640,f845,f858]) ).
fof(f3259,plain,
( ~ sQ45_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2641,f832,f858]) ).
fof(f3260,plain,
( sQ242_spl
| ~ sQ302_spl
| ~ sQ253_spl
| ~ sQ45_spl
| ~ sQ297_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f2643,f1098,f1802,f858,f1602,f1823,f1566]) ).
fof(f3261,plain,
( sQ235_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2346,f2909]) ).
fof(f3262,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f869,f2221]) ).
fof(f3263,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f3262]) ).
fof(f3264,plain,
( ~ sQ141_spl
| ~ sQ29_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f3009,f780,f806,f1234]) ).
fof(f3266,plain,
( ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2886,f2235]) ).
fof(f3267,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f3266]) ).
fof(f3270,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f732,f2238]) ).
fof(f3271,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f3270]) ).
fof(f3274,plain,
( ~ sQ129_spl
| ~ sQ18_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f2873,f835,f770,f1195]) ).
fof(f3277,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f768,f2235]) ).
fof(f3278,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f3277]) ).
fof(f3279,plain,
( ~ sQ237_spl
| ~ sQ25_spl
| ~ sQ90_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1037,f3143]) ).
fof(f3280,plain,
( ~ sQ237_spl
| ~ sQ25_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3279,f221]) ).
fof(f3281,plain,
( ~ sQ237_spl
| ~ sQ25_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f3280]) ).
fof(f3284,plain,
( ~ sQ54_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2630,f900,f887]) ).
fof(f3285,plain,
( ~ sQ140_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f2808,f822,f1231]) ).
fof(f3298,plain,
( ~ sQ95_spl
| e23 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1053,f185]) ).
fof(f3306,plain,
( ~ sQ95_spl
| op2(e21,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f1053,f199]) ).
fof(f3312,plain,
( ~ sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2793,f2262]) ).
fof(f3313,plain,
~ sQ145_spl,
inference(contradiction_clause,[status(thm)],[f3312]) ).
fof(f3316,plain,
( ~ sQ100_spl
| op2(e22,e20) != e20 ),
inference(forward_demodulation,[status(thm)],[f1070,f200]) ).
fof(f3317,plain,
( ~ sQ100_spl
| op2(e20,e21) != e20 ),
inference(forward_demodulation,[status(thm)],[f1070,f171]) ).
fof(f3318,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1102,f2266]) ).
fof(f3319,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f3318]) ).
fof(f3320,plain,
( sQ107_spl
| h3(e10) != e23 ),
inference(forward_demodulation,[status(thm)],[f279,f1093]) ).
fof(f3331,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1122,f2243]) ).
fof(f3332,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f3331]) ).
fof(f3333,plain,
( ~ sQ151_spl
| ~ sQ102_spl
| h3(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f279,f3012]) ).
fof(f3334,plain,
( ~ sQ151_spl
| ~ sQ102_spl
| sQ288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3333,f1766]) ).
fof(f3335,plain,
( ~ sQ151_spl
| ~ sQ102_spl
| sQ288_spl ),
inference(contradiction_clause,[status(thm)],[f3334]) ).
fof(f3336,plain,
( sQ240_spl
| ~ sQ302_spl
| ~ sQ297_spl
| ~ sQ39_spl
| ~ sQ253_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f2694,f1078,f1602,f838,f1802,f1823,f1560]) ).
fof(f3337,plain,
op2(e22,e21) != h3(e10),
inference(forward_demodulation,[status(thm)],[f279,f203]) ).
fof(f3338,plain,
( ~ sQ182_spl
| e23 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1376,f2283]) ).
fof(f3339,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f972,f2265]) ).
fof(f3340,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f3339]) ).
fof(f3344,plain,
( ~ sQ87_spl
| ~ sQ86_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f1024,f1027]) ).
fof(f3345,plain,
( ~ sQ87_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3344,f223]) ).
fof(f3346,plain,
( ~ sQ87_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f3345]) ).
fof(f3357,plain,
( ~ sQ119_spl
| ~ sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1131,f3158]) ).
fof(f3358,plain,
( ~ sQ119_spl
| ~ sQ182_spl ),
inference(contradiction_clause,[status(thm)],[f3357]) ).
fof(f3359,plain,
( ~ sQ105_spl
| h3(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f279,f1086]) ).
fof(f3360,plain,
( ~ sQ105_spl
| sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3359,f1749]) ).
fof(f3361,plain,
( ~ sQ105_spl
| sQ284_spl ),
inference(contradiction_clause,[status(thm)],[f3360]) ).
fof(f3363,plain,
( sQ241_spl
| h4(op1(e12,e12)) != op2(e22,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2356,f1565]) ).
fof(f3364,plain,
( sQ241_spl
| h4(op1(e12,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2356,f3363]) ).
fof(f3365,plain,
( sQ241_spl
| h4(op1(e12,e12)) != h3(e10) ),
inference(forward_demodulation,[status(thm)],[f279,f3364]) ).
fof(f3371,plain,
( sQ223_spl
| h3(e10) != h3(e10) ),
inference(forward_demodulation,[status(thm)],[f279,f2218]) ).
fof(f3372,plain,
( sQ223_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3371]) ).
fof(f3373,plain,
sQ223_spl,
inference(contradiction_clause,[status(thm)],[f3372]) ).
fof(f3374,plain,
( ~ sQ91_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1040,f3306]) ).
fof(f3375,plain,
( ~ sQ91_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f3374]) ).
fof(f3377,plain,
( ~ sQ107_spl
| h3(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f279,f1092]) ).
fof(f3378,plain,
( ~ sQ107_spl
| sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3377,f1519]) ).
fof(f3379,plain,
( ~ sQ107_spl
| sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f3378]) ).
fof(f3380,plain,
( ~ sQ72_spl
| ~ sQ75_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f988,f979]) ).
fof(f3381,plain,
( ~ sQ72_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3380,f220]) ).
fof(f3382,plain,
( ~ sQ72_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3381]) ).
fof(f3383,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1112,f2260]) ).
fof(f3384,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f3383]) ).
fof(f3385,plain,
( ~ sQ100_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f3317,f965,f1069]) ).
fof(f3386,plain,
( ~ sQ98_spl
| sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1063,f2813]) ).
fof(f3387,plain,
( ~ sQ98_spl
| sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f3386]) ).
fof(f3388,plain,
( sQ107_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f3320,f1517,f1091]) ).
fof(f3389,plain,
( ~ sQ106_spl
| h3(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f279,f1089]) ).
fof(f3390,plain,
( ~ sQ104_spl
| h3(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f279,f1083]) ).
fof(f3395,plain,
( ~ sQ114_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f2535,f1140,f1114]) ).
fof(f3396,plain,
( ~ sQ157_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f2758,f1062,f1292]) ).
fof(f3397,plain,
( ~ sQ147_spl
| ~ sQ157_spl
| h3(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f279,f2780]) ).
fof(f3401,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1096,f2245]) ).
fof(f3402,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f3401]) ).
fof(f3405,plain,
( ~ sQ182_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3338,f1078,f1375]) ).
fof(f3406,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f2261]) ).
fof(f3407,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f3406]) ).
fof(f3408,plain,
( ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1135,f2242]) ).
fof(f3409,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f3408]) ).
fof(f3414,plain,
( ~ sQ95_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f3298,f1104,f1052]) ).
fof(f3415,plain,
( ~ sQ104_spl
| sQ280_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3390,f1732]) ).
fof(f3416,plain,
( ~ sQ104_spl
| sQ280_spl ),
inference(contradiction_clause,[status(thm)],[f3415]) ).
fof(f3417,plain,
( ~ sQ280_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2317,f1030,f1730]) ).
fof(f3420,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1008,f2262]) ).
fof(f3421,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f3420]) ).
fof(f3424,plain,
( ~ sQ227_spl
| e23 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f1518,f279]) ).
fof(f3432,plain,
( ~ sQ106_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3389,f1764,f1088]) ).
fof(f3441,plain,
( ~ sQ288_spl
| ~ sQ280_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1731,f1765]) ).
fof(f3442,plain,
( ~ sQ288_spl
| ~ sQ280_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3441,f219]) ).
fof(f3443,plain,
( ~ sQ288_spl
| ~ sQ280_spl ),
inference(contradiction_clause,[status(thm)],[f3442]) ).
fof(f3447,plain,
( ~ sQ111_spl
| op2(e22,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f1105,f202]) ).
fof(f3450,plain,
( ~ sQ111_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f3447,f1065,f1104]) ).
fof(f3451,plain,
( sQ174_spl
| ~ sQ68_spl
| h1(op1(e13,e10)) != e20 ),
inference(backward_demodulation,[status(thm)],[f966,f2467]) ).
fof(f3455,plain,
( ~ sQ149_spl
| ~ sQ68_spl
| op2(op2(e20,e21),e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f966,f1267]) ).
fof(f3456,plain,
( ~ sQ149_spl
| ~ sQ68_spl
| op2(e20,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f966,f3455]) ).
fof(f3457,plain,
( ~ sQ149_spl
| ~ sQ68_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2263,f3456]) ).
fof(f3458,plain,
( ~ sQ149_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3457,f218]) ).
fof(f3459,plain,
( ~ sQ149_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f3458]) ).
fof(f3460,plain,
( ~ sQ137_spl
| ~ sQ25_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f3005,f780,f793,f1221]) ).
fof(f3461,plain,
( ~ sQ100_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f3316,f1056,f1069]) ).
fof(f3464,plain,
( sQ244_spl
| ~ sQ54_spl
| ~ sQ253_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f3087,f1127,f1602,f887,f1572]) ).
fof(f3468,plain,
( ~ sQ90_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f3186,f1764,f1036]) ).
fof(f3471,plain,
( sQ233_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e10,e12)) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f2356,f2790]) ).
fof(f3474,plain,
( sQ232_spl
| ~ sQ246_spl
| ~ sQ253_spl
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2346,f2759]) ).
fof(f3477,plain,
( sQ236_spl
| h4(op1(e11,e11)) != op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2346,f1550]) ).
fof(f3478,plain,
( sQ236_spl
| h4(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2346,f3477]) ).
fof(f3480,plain,
( ~ sQ115_spl
| e23 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f1118,f206]) ).
fof(f3481,plain,
( ~ sQ115_spl
| e23 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f1118,f207]) ).
fof(f3482,plain,
( ~ sQ115_spl
| op2(e22,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f1118,f169]) ).
fof(f3485,plain,
( ~ sQ115_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f3481,f1143,f1117]) ).
fof(f3487,plain,
( ~ sQ150_spl
| ~ sQ86_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2897,f1075,f1023,f1269]) ).
fof(f3492,plain,
( ~ sQ159_spl
| ~ sQ111_spl
| op2(e23,e22) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1105,f1299]) ).
fof(f3497,plain,
( ~ sQ159_spl
| ~ sQ111_spl
| op2(e23,e22) = e23 ),
inference(forward_demodulation,[status(thm)],[f1105,f3492]) ).
fof(f3510,plain,
( ~ sQ159_spl
| ~ sQ111_spl
| op2(e23,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f3497,f207]) ).
fof(f3511,plain,
( ~ sQ118_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f2532,f1114,f1127]) ).
fof(f3518,plain,
( ~ sQ42_spl
| op1(e12,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f849,f155]) ).
fof(f3519,plain,
( ~ sQ42_spl
| op1(e12,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f849,f153]) ).
fof(f3520,plain,
( ~ sQ42_spl
| op1(e11,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f849,f131]) ).
fof(f3525,plain,
( ~ sQ42_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3518,f835,f848]) ).
fof(f3533,plain,
( ~ sQ150_spl
| op2(op2(e21,e21),e21) = h2(e10) ),
inference(backward_demodulation,[status(thm)],[f275,f1270]) ).
fof(f3534,plain,
( sQ236_spl
| h4(op1(e11,e11)) != h2(e10) ),
inference(backward_demodulation,[status(thm)],[f275,f3478]) ).
fof(f3535,plain,
( ~ sQ150_spl
| op2(h2(e10),e21) = h2(e10) ),
inference(forward_demodulation,[status(thm)],[f275,f3533]) ).
fof(f3544,plain,
( ~ sQ130_spl
| ~ sQ32_spl
| op1(op1(e12,e10),e12) = e10 ),
inference(backward_demodulation,[status(thm)],[f817,f1199]) ).
fof(f3546,plain,
( ~ sQ32_spl
| e10 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f817,f152]) ).
fof(f3547,plain,
( ~ sQ32_spl
| op1(e11,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f817,f119]) ).
fof(f3552,plain,
( ~ sQ130_spl
| ~ sQ32_spl
| op1(e10,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f817,f3544]) ).
fof(f3554,plain,
( ~ sQ32_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3547,f764,f816]) ).
fof(f3558,plain,
( sQ196_spl
| ~ sQ47_spl
| h2(e13) != op2(h2(e12),e21) ),
inference(backward_demodulation,[status(thm)],[f865,f2481]) ).
fof(f3563,plain,
( sQ196_spl
| ~ sQ47_spl
| e21 != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f3558]) ).
fof(f3570,plain,
( sQ233_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ11_spl
| h4(e13) != op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f748,f3471]) ).
fof(f3571,plain,
( ~ sQ11_spl
| e13 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f748,f128]) ).
fof(f3574,plain,
( ~ sQ11_spl
| e13 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f748,f130]) ).
fof(f3575,plain,
( sQ233_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ11_spl
| e23 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1603,f3570]) ).
fof(f3576,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3571,f799,f747]) ).
fof(f3579,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3574,f903,f747]) ).
fof(f3580,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f865,f859]) ).
fof(f3581,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3580,f216]) ).
fof(f3582,plain,
( ~ sQ45_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3581]) ).
fof(f3583,plain,
( sQ232_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ4_spl
| h4(e10) != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f726,f3474]) ).
fof(f3584,plain,
( ~ sQ4_spl
| e10 != op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f726,f122]) ).
fof(f3585,plain,
( ~ sQ4_spl
| e10 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f726,f123]) ).
fof(f3589,plain,
( sQ232_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ4_spl
| e20 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2530,f3583]) ).
fof(f3590,plain,
( ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f3584,f777,f725]) ).
fof(f3591,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3585,f829,f725]) ).
fof(f3593,plain,
( sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2290,f2485]) ).
fof(f3594,plain,
sQ165_spl,
inference(contradiction_clause,[status(thm)],[f3593]) ).
fof(f3596,plain,
( ~ sQ51_spl
| e13 != op1(e13,e11) ),
inference(backward_demodulation,[status(thm)],[f878,f158]) ).
fof(f3597,plain,
( ~ sQ51_spl
| e13 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f878,f159]) ).
fof(f3598,plain,
( ~ sQ51_spl
| op1(e11,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f878,f120]) ).
fof(f3599,plain,
( sQ197_spl
| ~ sQ51_spl
| h2(e13) != op2(e21,h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f878,f2388]) ).
fof(f3602,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3597,f903,f877]) ).
fof(f3603,plain,
( sQ197_spl
| ~ sQ51_spl
| e21 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f274,f3599]) ).
fof(f3609,plain,
( ~ sQ53_spl
| op1(e11,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f885,f126]) ).
fof(f3610,plain,
( ~ sQ53_spl
| op1(e12,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f885,f127]) ).
fof(f3611,plain,
( ~ sQ53_spl
| e11 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f885,f161]) ).
fof(f3614,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f3609,f780,f884]) ).
fof(f3615,plain,
( ~ sQ53_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3611,f897,f884]) ).
fof(f3616,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3520,f796,f848]) ).
fof(f3621,plain,
( ~ sQ32_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3546,f829,f816]) ).
fof(f3622,plain,
( sQ232_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ4_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f3589,f965,f725,f1602,f1578,f1536]) ).
fof(f3624,plain,
( sQ233_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ11_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f3575,f987,f747,f1602,f1578,f1539]) ).
fof(f3640,plain,
( ~ sQ84_spl
| h2(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f275,f1018]) ).
fof(f3641,plain,
( ~ sQ84_spl
| sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3640,f1681]) ).
fof(f3642,plain,
( ~ sQ84_spl
| sQ268_spl ),
inference(contradiction_clause,[status(thm)],[f3641]) ).
fof(f3679,plain,
( ~ sQ158_spl
| ~ sQ93_spl
| op2(op2(e21,e23),e21) = e21 ),
inference(backward_demodulation,[status(thm)],[f1047,f1296]) ).
fof(f3682,plain,
( ~ sQ158_spl
| ~ sQ93_spl
| op2(e21,e21) = e21 ),
inference(forward_demodulation,[status(thm)],[f1047,f3679]) ).
fof(f3683,plain,
( ~ sQ117_spl
| op2(e22,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f1125,f175]) ).
fof(f3684,plain,
( ~ sQ111_spl
| op2(e22,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f1105,f204]) ).
fof(f3691,plain,
( ~ sQ288_spl
| op2(e22,e21) != e22 ),
inference(forward_demodulation,[status(thm)],[f1765,f3337]) ).
fof(f3692,plain,
( ~ sQ101_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1073,f3683]) ).
fof(f3693,plain,
( ~ sQ101_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f3692]) ).
fof(f3717,plain,
( ~ sQ53_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3610,f832,f884]) ).
fof(f3722,plain,
( sQ200_spl
| h2(e10) != h1(e11) ),
inference(backward_demodulation,[status(thm)],[f2285,f2381]) ).
fof(f3723,plain,
h2(e12) = op2(h1(e11),e21),
inference(forward_demodulation,[status(thm)],[f2285,f277]) ).
fof(f3728,plain,
( ~ sQ93_spl
| e21 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1047,f185]) ).
fof(f3733,plain,
( ~ sQ121_spl
| ~ sQ159_spl
| ~ sQ111_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f3497,f1138]) ).
fof(f3734,plain,
( ~ sQ121_spl
| ~ sQ159_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3733,f222]) ).
fof(f3735,plain,
( ~ sQ121_spl
| ~ sQ159_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3734]) ).
fof(f3736,plain,
( ~ sQ42_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3519,f822,f848]) ).
fof(f3739,plain,
( ~ sQ86_spl
| h1(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f2285,f1024]) ).
fof(f3740,plain,
( ~ sQ86_spl
| sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3739,f1668]) ).
fof(f3741,plain,
( ~ sQ86_spl
| sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f3740]) ).
fof(f3742,plain,
( ~ sQ102_spl
| ~ sQ288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1076,f3691]) ).
fof(f3743,plain,
( ~ sQ102_spl
| ~ sQ288_spl ),
inference(contradiction_clause,[status(thm)],[f3742]) ).
fof(f3744,plain,
( ~ sQ158_spl
| ~ sQ93_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f3682,f1020,f1046,f1295]) ).
fof(f3748,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f878,f875]) ).
fof(f3749,plain,
( ~ sQ50_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3748,f217]) ).
fof(f3750,plain,
( ~ sQ50_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3749]) ).
fof(f3751,plain,
( sQ150_spl
| op2(h1(e11),e21) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2285,f1271]) ).
fof(f3752,plain,
( sQ150_spl
| h2(e12) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f3723,f3751]) ).
fof(f3753,plain,
( sQ150_spl
| h2(e12) != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f2285,f3752]) ).
fof(f3755,plain,
( sQ220_spl
| ~ sQ280_spl
| ~ sQ51_spl
| h3(e13) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f878,f2213]) ).
fof(f3756,plain,
( sQ220_spl
| ~ sQ280_spl
| ~ sQ51_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f278,f3755]) ).
fof(f3757,plain,
( ~ sQ85_spl
| h1(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f2285,f1021]) ).
fof(f3758,plain,
( ~ sQ85_spl
| sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3757,f1651]) ).
fof(f3759,plain,
( ~ sQ85_spl
| sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f3758]) ).
fof(f3760,plain,
( ~ sQ130_spl
| ~ sQ140_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f2869,f848,f1231,f1198]) ).
fof(f3761,plain,
( ~ sQ90_spl
| ~ sQ265_spl ),
inference(split_clause,[status(thm)],[f3147,f1666,f1036]) ).
fof(f3763,plain,
( ~ sQ93_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f3728,f1098,f1046]) ).
fof(f3765,plain,
( ~ sQ111_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3684,f1078,f1104]) ).
fof(f3766,plain,
( sQ243_spl
| ~ sQ253_spl
| ~ sQ246_spl
| ~ sQ115_spl
| ~ sQ51_spl
| h4(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f878,f2890]) ).
fof(f3767,plain,
( sQ243_spl
| ~ sQ253_spl
| ~ sQ246_spl
| ~ sQ115_spl
| ~ sQ51_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1603,f3766]) ).
fof(f3768,plain,
( sQ243_spl
| ~ sQ253_spl
| ~ sQ246_spl
| ~ sQ115_spl
| ~ sQ51_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3767]) ).
fof(f3769,plain,
( sQ243_spl
| ~ sQ253_spl
| ~ sQ246_spl
| ~ sQ115_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3768]) ).
fof(f3776,plain,
( ~ sQ86_spl
| e22 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f3739,f2282]) ).
fof(f3782,plain,
( ~ sQ86_spl
| e22 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f3739,f2283]) ).
fof(f3785,plain,
( ~ sQ86_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f3776,f1127,f1023]) ).
fof(f3801,plain,
( sQ174_spl
| ~ sQ68_spl
| ~ sQ51_spl
| h1(e13) != e20 ),
inference(forward_demodulation,[status(thm)],[f878,f3451]) ).
fof(f3802,plain,
( sQ174_spl
| ~ sQ68_spl
| ~ sQ51_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f270,f3801]) ).
fof(f3803,plain,
( sQ174_spl
| ~ sQ68_spl
| ~ sQ51_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3802]) ).
fof(f3804,plain,
( sQ174_spl
| ~ sQ68_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3803]) ).
fof(f3814,plain,
( ~ sQ75_spl
| e23 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f988,f178]) ).
fof(f3817,plain,
( ~ sQ75_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f3814,f1143,f987]) ).
fof(f3840,plain,
( ~ sQ51_spl
| op1(e12,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f878,f121]) ).
fof(f3850,plain,
( ~ sQ16_spl
| e10 != op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f765,f146]) ).
fof(f3856,plain,
( ~ sQ146_spl
| op2(op2(e21,e20),e21) = h1(e12) ),
inference(backward_demodulation,[status(thm)],[f2290,f1257]) ).
fof(f3858,plain,
( ~ sQ146_spl
| op2(h1(e12),e21) = h1(e12) ),
inference(forward_demodulation,[status(thm)],[f2290,f3856]) ).
fof(f3872,plain,
( sQ219_spl
| ~ sQ45_spl
| h3(e11) != op2(h3(e12),e22) ),
inference(backward_demodulation,[status(thm)],[f859,f2436]) ).
fof(f3873,plain,
( sQ196_spl
| ~ sQ45_spl
| h2(e11) != op2(h2(e12),e21) ),
inference(backward_demodulation,[status(thm)],[f859,f2481]) ).
fof(f3876,plain,
( sQ173_spl
| ~ sQ45_spl
| h1(e11) != op2(h1(e12),e20) ),
inference(backward_demodulation,[status(thm)],[f859,f2468]) ).
fof(f3890,plain,
( ~ sQ40_spl
| op1(e12,e11) != e10 ),
inference(backward_demodulation,[status(thm)],[f843,f155]) ).
fof(f3891,plain,
( ~ sQ138_spl
| ~ sQ40_spl
| op1(op1(e12,e12),e12) = e10 ),
inference(backward_demodulation,[status(thm)],[f843,f1225]) ).
fof(f3892,plain,
( sQ172_spl
| ~ sQ40_spl
| h1(e10) != op2(h1(e12),h1(e12)) ),
inference(backward_demodulation,[status(thm)],[f843,f1346]) ).
fof(f3893,plain,
( sQ218_spl
| ~ sQ40_spl
| h3(e10) != op2(h3(e12),h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f843,f1492]) ).
fof(f3895,plain,
( ~ sQ138_spl
| ~ sQ40_spl
| op1(e10,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f843,f3891]) ).
fof(f3896,plain,
( ~ sQ138_spl
| ~ sQ40_spl
| ~ sQ11_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f748,f3895]) ).
fof(f3897,plain,
( ~ sQ138_spl
| ~ sQ40_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3896,f214]) ).
fof(f3898,plain,
( ~ sQ138_spl
| ~ sQ40_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3897]) ).
fof(f3899,plain,
( sQ172_spl
| ~ sQ40_spl
| e21 != op2(h1(e12),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f2277,f3892]) ).
fof(f3900,plain,
( sQ218_spl
| ~ sQ40_spl
| ~ sQ280_spl
| e20 != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1731,f3893]) ).
fof(f3903,plain,
( sQ163_spl
| ~ sQ4_spl
| h1(e10) != op2(e21,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f726,f2488]) ).
fof(f3904,plain,
( sQ163_spl
| ~ sQ4_spl
| e21 != op2(e21,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f2277,f3903]) ).
fof(f3905,plain,
( sQ166_spl
| ~ sQ16_spl
| h1(e10) != op2(h1(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f765,f2482]) ).
fof(f3906,plain,
( sQ166_spl
| ~ sQ16_spl
| e21 != op2(h1(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f2277,f3905]) ).
fof(f3908,plain,
( ~ sQ68_spl
| e20 != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f966,f2284]) ).
fof(f3925,plain,
( sQ235_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ16_spl
| h4(e10) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f765,f3261]) ).
fof(f3926,plain,
( sQ235_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ16_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2530,f3925]) ).
fof(f3927,plain,
( sQ235_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ16_spl
| e20 != h1(e12) ),
inference(forward_demodulation,[status(thm)],[f2290,f3926]) ).
fof(f3935,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f726,f735]) ).
fof(f3936,plain,
( ~ sQ7_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3935,f214]) ).
fof(f3937,plain,
( ~ sQ7_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f3936]) ).
fof(f3938,plain,
( ~ sQ55_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f891,f3596]) ).
fof(f3939,plain,
( ~ sQ55_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3938]) ).
fof(f3941,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1109,f2244]) ).
fof(f3942,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f3941]) ).
fof(f3950,plain,
( sQ210_spl
| ~ sQ11_spl
| ~ sQ280_spl
| e22 != op2(e20,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1731,f3217]) ).
fof(f3965,plain,
( ~ sQ69_spl
| ~ sQ68_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f966,f969]) ).
fof(f3966,plain,
( ~ sQ69_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3965,f218]) ).
fof(f3967,plain,
( ~ sQ69_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f3966]) ).
fof(f3968,plain,
( ~ sQ74_spl
| ~ sQ75_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f988,f985]) ).
fof(f3969,plain,
( ~ sQ74_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3968,f223]) ).
fof(f3970,plain,
( ~ sQ74_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3969]) ).
fof(f3972,plain,
( ~ sQ82_spl
| h1(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f2290,f1011]) ).
fof(f3973,plain,
( ~ sQ82_spl
| sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3972,f1672]) ).
fof(f3974,plain,
( ~ sQ82_spl
| sQ266_spl ),
inference(contradiction_clause,[status(thm)],[f3973]) ).
fof(f3979,plain,
( sQ195_spl
| ~ sQ40_spl
| h2(e10) != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f843,f1419]) ).
fof(f3980,plain,
( ~ sQ268_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2301,f3908]) ).
fof(f3981,plain,
( ~ sQ268_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f3980]) ).
fof(f3992,plain,
( ~ sQ121_spl
| op2(e21,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f1138,f180]) ).
fof(f3993,plain,
( ~ sQ121_spl
| op2(e23,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f1138,f209]) ).
fof(f3998,plain,
( ~ sQ31_spl
| op1(e11,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f813,f151]) ).
fof(f3999,plain,
( ~ sQ31_spl
| op1(e11,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f813,f150]) ).
fof(f4000,plain,
( sQ215_spl
| ~ sQ31_spl
| h3(e13) != op2(h3(e11),e22) ),
inference(backward_demodulation,[status(thm)],[f813,f2441]) ).
fof(f4003,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f3999,f786,f812]) ).
fof(f4004,plain,
( sQ215_spl
| ~ sQ31_spl
| e22 != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f4000]) ).
fof(f4007,plain,
( ~ sQ162_spl
| ~ sQ261_spl
| e21 = h2(e10) ),
inference(forward_demodulation,[status(thm)],[f275,f2823]) ).
fof(f4008,plain,
( ~ sQ162_spl
| ~ sQ261_spl
| sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4007,f1698]) ).
fof(f4009,plain,
( ~ sQ162_spl
| ~ sQ261_spl
| sQ272_spl ),
inference(contradiction_clause,[status(thm)],[f4008]) ).
fof(f4012,plain,
( ~ sQ117_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1125,f3993]) ).
fof(f4013,plain,
( ~ sQ117_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f4012]) ).
fof(f4014,plain,
( ~ sQ83_spl
| h1(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f2290,f1014]) ).
fof(f4015,plain,
( ~ sQ83_spl
| sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4014,f1381]) ).
fof(f4016,plain,
( ~ sQ83_spl
| sQ183_spl ),
inference(contradiction_clause,[status(thm)],[f4015]) ).
fof(f4017,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f843,f846]) ).
fof(f4018,plain,
( ~ sQ41_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4017,f212]) ).
fof(f4019,plain,
( ~ sQ41_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f4018]) ).
fof(f4020,plain,
( ~ sQ272_spl
| e21 = h2(e10) ),
inference(forward_demodulation,[status(thm)],[f275,f3162]) ).
fof(f4021,plain,
( ~ sQ95_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f3195,f1379,f1052]) ).
fof(f4024,plain,
( ~ sQ130_spl
| ~ sQ32_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f3552,f738,f816,f1198]) ).
fof(f4025,plain,
( ~ sQ121_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f3992,f1033,f1137]) ).
fof(f4040,plain,
( sQ188_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(e12) != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4007,f2480]) ).
fof(f4041,plain,
( sQ187_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(op1(e10,e12)) != op2(e21,h2(e12)) ),
inference(backward_demodulation,[status(thm)],[f4007,f1395]) ).
fof(f4042,plain,
( sQ197_spl
| ~ sQ51_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4007,f3603]) ).
fof(f4044,plain,
( sQ236_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h4(op1(e11,e11)) != e21 ),
inference(backward_demodulation,[status(thm)],[f4007,f3534]) ).
fof(f4047,plain,
( sQ197_spl
| ~ sQ51_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f4042,f1020,f1649,f1314,f877,f1423]) ).
fof(f4054,plain,
( ~ sQ280_spl
| h3(e11) = op2(e20,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1731,f3206]) ).
fof(f4055,plain,
( ~ sQ280_spl
| h3(e11) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1731,f4054]) ).
fof(f4056,plain,
( ~ sQ280_spl
| h3(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f2263,f4055]) ).
fof(f4057,plain,
( ~ sQ280_spl
| sQ285_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4056,f1753]) ).
fof(f4058,plain,
( ~ sQ280_spl
| sQ285_spl ),
inference(contradiction_clause,[status(thm)],[f4057]) ).
fof(f4059,plain,
( ~ sQ208_spl
| ~ sQ280_spl
| h3(e11) = op2(e20,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1731,f3209]) ).
fof(f4060,plain,
( ~ sQ208_spl
| ~ sQ280_spl
| h3(e11) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1731,f4059]) ).
fof(f4068,plain,
( ~ sQ208_spl
| ~ sQ280_spl
| h3(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f2263,f4060]) ).
fof(f4075,plain,
( sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != h1(e11) ),
inference(forward_demodulation,[status(thm)],[f4007,f3722]) ).
fof(f4076,plain,
( sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3757,f4075]) ).
fof(f4077,plain,
( sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4076]) ).
fof(f4078,plain,
( sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f4077]) ).
fof(f4079,plain,
( ~ sQ200_spl
| h2(e10) = op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f264,f1433]) ).
fof(f4080,plain,
( ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 = op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f4007,f4079]) ).
fof(f4081,plain,
( ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 = op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f274,f4080]) ).
fof(f4082,plain,
( ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f274,f4081]) ).
fof(f4085,plain,
( ~ sQ80_spl
| e20 = op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f4093,f2290]) ).
fof(f4090,plain,
( sQ176_spl
| ~ sQ80_spl
| h1(op1(e13,e12)) != op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f4093,f2463]) ).
fof(f4093,plain,
( ~ sQ80_spl
| h1(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f2290,f1005]) ).
fof(f4096,plain,
( sQ176_spl
| ~ sQ80_spl
| h1(op1(e13,e12)) != e21 ),
inference(forward_demodulation,[status(thm)],[f2263,f4090]) ).
fof(f4097,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1050,f2267]) ).
fof(f4098,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f4097]) ).
fof(f4104,plain,
( ~ sQ98_spl
| sQ220_spl
| ~ sQ280_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1063,f3756]) ).
fof(f4105,plain,
( ~ sQ98_spl
| sQ220_spl
| ~ sQ280_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f4104]) ).
fof(f4111,plain,
( ~ sQ35_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f826,f3840]) ).
fof(f4112,plain,
( ~ sQ35_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f4111]) ).
fof(f4116,plain,
( ~ sQ86_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3782,f1075,f1023]) ).
fof(f4128,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f3850,f777,f764]) ).
fof(f4129,plain,
( sQ235_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ16_spl
| ~ sQ80_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4093,f3927]) ).
fof(f4130,plain,
( sQ235_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ16_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4129]) ).
fof(f4131,plain,
( sQ235_spl
| ~ sQ246_spl
| ~ sQ253_spl
| ~ sQ16_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4130]) ).
fof(f4132,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f882,f2220]) ).
fof(f4133,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f4132]) ).
fof(f4134,plain,
( ~ sQ266_spl
| ~ sQ80_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f4093,f1671]) ).
fof(f4135,plain,
( ~ sQ266_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4134,f219]) ).
fof(f4136,plain,
( ~ sQ266_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4135]) ).
fof(f4147,plain,
( sQ209_spl
| ~ sQ280_spl
| h3(op1(e10,e11)) != op2(e20,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1731,f1465]) ).
fof(f4148,plain,
( sQ209_spl
| ~ sQ280_spl
| ~ sQ208_spl
| h3(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f4068,f4147]) ).
fof(f4150,plain,
( ~ sQ155_spl
| ~ sQ280_spl
| op2(op2(e22,e22),e22) = e20 ),
inference(backward_demodulation,[status(thm)],[f4151,f1286]) ).
fof(f4151,plain,
( ~ sQ280_spl
| e20 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1731,f279]) ).
fof(f4152,plain,
( ~ sQ155_spl
| ~ sQ280_spl
| op2(e20,e22) = e20 ),
inference(forward_demodulation,[status(thm)],[f4151,f4150]) ).
fof(f4153,plain,
( ~ sQ155_spl
| ~ sQ280_spl
| ~ sQ75_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f988,f4152]) ).
fof(f4154,plain,
( ~ sQ155_spl
| ~ sQ280_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4153,f220]) ).
fof(f4155,plain,
( ~ sQ155_spl
| ~ sQ280_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f4154]) ).
fof(f4162,plain,
( ~ sQ280_spl
| h3(e12) = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1731,f3199]) ).
fof(f4163,plain,
( ~ sQ280_spl
| ~ sQ75_spl
| h3(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f988,f4162]) ).
fof(f4164,plain,
( ~ sQ280_spl
| ~ sQ75_spl
| sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4163,f1527]) ).
fof(f4165,plain,
( ~ sQ280_spl
| ~ sQ75_spl
| sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f4164]) ).
fof(f4169,plain,
( sQ186_spl
| ~ sQ272_spl
| h2(op1(e10,e11)) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4020,f1392]) ).
fof(f4189,plain,
( ~ sQ150_spl
| ~ sQ272_spl
| op2(e21,e21) = h2(e10) ),
inference(forward_demodulation,[status(thm)],[f4020,f3535]) ).
fof(f4191,plain,
( ~ sQ150_spl
| ~ sQ272_spl
| op2(e21,e21) = e21 ),
inference(forward_demodulation,[status(thm)],[f4020,f4189]) ).
fof(f4196,plain,
( sQ164_spl
| ~ sQ80_spl
| h1(op1(e10,e12)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f4093,f2487]) ).
fof(f4204,plain,
( ~ sQ146_spl
| ~ sQ80_spl
| op2(e20,e21) = h1(e12) ),
inference(forward_demodulation,[status(thm)],[f4093,f3858]) ).
fof(f4218,plain,
( ~ sQ261_spl
| h2(e12) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f3723]) ).
fof(f4219,plain,
( ~ sQ261_spl
| ~ sQ150_spl
| ~ sQ272_spl
| h2(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f4191,f4218]) ).
fof(f4220,plain,
( sQ185_spl
| ~ sQ272_spl
| h2(e11) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f4020,f2448]) ).
fof(f4221,plain,
( sQ185_spl
| ~ sQ272_spl
| h2(e11) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4020,f4220]) ).
fof(f4222,plain,
( sQ185_spl
| ~ sQ272_spl
| ~ sQ150_spl
| h2(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f4191,f4221]) ).
fof(f4223,plain,
( ~ sQ150_spl
| ~ sQ272_spl
| h2(e11) = op2(e21,op2(e21,e21)) ),
inference(forward_demodulation,[status(thm)],[f4191,f276]) ).
fof(f4224,plain,
( ~ sQ150_spl
| ~ sQ272_spl
| h2(e11) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4191,f4223]) ).
fof(f4225,plain,
( ~ sQ150_spl
| ~ sQ272_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f4191,f4224]) ).
fof(f4243,plain,
( ~ sQ261_spl
| e21 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f2282]) ).
fof(f4250,plain,
( sQ210_spl
| ~ sQ11_spl
| ~ sQ280_spl
| ~ sQ75_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f4163,f3950]) ).
fof(f4251,plain,
( sQ210_spl
| ~ sQ11_spl
| ~ sQ280_spl
| ~ sQ75_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2268,f4250]) ).
fof(f4252,plain,
( sQ210_spl
| ~ sQ11_spl
| ~ sQ280_spl
| ~ sQ75_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4251]) ).
fof(f4253,plain,
( sQ210_spl
| ~ sQ11_spl
| ~ sQ280_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f4252]) ).
fof(f4258,plain,
( ~ sQ150_spl
| ~ sQ272_spl
| sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4225,f4222]) ).
fof(f4259,plain,
( ~ sQ150_spl
| ~ sQ272_spl
| sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f4258]) ).
fof(f4261,plain,
( ~ sQ185_spl
| h2(e11) = op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2236,f1388]) ).
fof(f4262,plain,
( ~ sQ185_spl
| ~ sQ272_spl
| h2(e11) = op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f4020,f4261]) ).
fof(f4263,plain,
( ~ sQ185_spl
| ~ sQ272_spl
| h2(e11) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4020,f4262]) ).
fof(f4264,plain,
( ~ sQ185_spl
| ~ sQ272_spl
| ~ sQ150_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f4191,f4263]) ).
fof(f4269,plain,
( sQ164_spl
| ~ sQ80_spl
| ~ sQ11_spl
| h1(e13) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f748,f4196]) ).
fof(f4270,plain,
( sQ164_spl
| ~ sQ80_spl
| ~ sQ11_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f4269]) ).
fof(f4272,plain,
( sQ187_spl
| ~ sQ11_spl
| ~ sQ272_spl
| e21 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f4020,f3221]) ).
fof(f4273,plain,
( sQ187_spl
| ~ sQ11_spl
| ~ sQ272_spl
| ~ sQ261_spl
| ~ sQ150_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4219,f4272]) ).
fof(f4274,plain,
( sQ187_spl
| ~ sQ11_spl
| ~ sQ272_spl
| ~ sQ261_spl
| ~ sQ150_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4191,f4273]) ).
fof(f4275,plain,
( sQ187_spl
| ~ sQ11_spl
| ~ sQ272_spl
| ~ sQ261_spl
| ~ sQ150_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4274]) ).
fof(f4276,plain,
( sQ187_spl
| ~ sQ11_spl
| ~ sQ272_spl
| ~ sQ261_spl
| ~ sQ150_spl ),
inference(contradiction_clause,[status(thm)],[f4275]) ).
fof(f4288,plain,
( ~ sQ133_spl
| ~ sQ23_spl
| op1(op1(e11,e11),e11) = e13 ),
inference(backward_demodulation,[status(thm)],[f787,f1209]) ).
fof(f4292,plain,
( ~ sQ133_spl
| ~ sQ23_spl
| op1(e13,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f787,f4288]) ).
fof(f4303,plain,
( sQ219_spl
| ~ sQ45_spl
| ~ sQ208_spl
| ~ sQ280_spl
| e21 != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f4068,f3872]) ).
fof(f4304,plain,
( sQ219_spl
| ~ sQ45_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ75_spl
| e21 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f4163,f4303]) ).
fof(f4305,plain,
( sQ196_spl
| ~ sQ45_spl
| ~ sQ185_spl
| ~ sQ272_spl
| ~ sQ150_spl
| e21 != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f4264,f3873]) ).
fof(f4306,plain,
( sQ196_spl
| ~ sQ45_spl
| ~ sQ185_spl
| ~ sQ272_spl
| ~ sQ150_spl
| ~ sQ261_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4219,f4305]) ).
fof(f4307,plain,
( sQ196_spl
| ~ sQ45_spl
| ~ sQ185_spl
| ~ sQ272_spl
| ~ sQ150_spl
| ~ sQ261_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4191,f4306]) ).
fof(f4308,plain,
( sQ196_spl
| ~ sQ45_spl
| ~ sQ185_spl
| ~ sQ272_spl
| ~ sQ150_spl
| ~ sQ261_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4307]) ).
fof(f4309,plain,
( sQ196_spl
| ~ sQ45_spl
| ~ sQ185_spl
| ~ sQ272_spl
| ~ sQ150_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f4308]) ).
fof(f4310,plain,
( sQ173_spl
| ~ sQ45_spl
| ~ sQ261_spl
| e21 != op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f1650,f3876]) ).
fof(f4311,plain,
( sQ173_spl
| ~ sQ45_spl
| ~ sQ261_spl
| ~ sQ80_spl
| e21 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4093,f4310]) ).
fof(f4312,plain,
( sQ173_spl
| ~ sQ45_spl
| ~ sQ261_spl
| ~ sQ80_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2263,f4311]) ).
fof(f4313,plain,
( sQ173_spl
| ~ sQ45_spl
| ~ sQ261_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4312]) ).
fof(f4314,plain,
( sQ173_spl
| ~ sQ45_spl
| ~ sQ261_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4313]) ).
fof(f4318,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3890,f829,f842]) ).
fof(f4319,plain,
( sQ172_spl
| ~ sQ40_spl
| ~ sQ80_spl
| e21 != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f4093,f3899]) ).
fof(f4320,plain,
( sQ172_spl
| ~ sQ40_spl
| ~ sQ80_spl
| e21 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4093,f4319]) ).
fof(f4321,plain,
( sQ172_spl
| ~ sQ40_spl
| ~ sQ80_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2263,f4320]) ).
fof(f4322,plain,
( sQ172_spl
| ~ sQ40_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4321]) ).
fof(f4323,plain,
( sQ172_spl
| ~ sQ40_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4322]) ).
fof(f4324,plain,
( sQ218_spl
| ~ sQ40_spl
| ~ sQ280_spl
| ~ sQ75_spl
| e20 != op2(e23,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f4163,f3900]) ).
fof(f4325,plain,
( sQ218_spl
| ~ sQ40_spl
| ~ sQ280_spl
| ~ sQ75_spl
| e20 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4163,f4324]) ).
fof(f4326,plain,
( sQ218_spl
| ~ sQ40_spl
| ~ sQ280_spl
| ~ sQ75_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f267,f4325]) ).
fof(f4327,plain,
( sQ218_spl
| ~ sQ40_spl
| ~ sQ280_spl
| ~ sQ75_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4326]) ).
fof(f4328,plain,
( sQ218_spl
| ~ sQ40_spl
| ~ sQ280_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f4327]) ).
fof(f4329,plain,
( sQ195_spl
| ~ sQ40_spl
| ~ sQ272_spl
| e21 != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f4020,f3979]) ).
fof(f4330,plain,
( sQ195_spl
| ~ sQ40_spl
| ~ sQ272_spl
| ~ sQ261_spl
| ~ sQ150_spl
| e21 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f4219,f4329]) ).
fof(f4331,plain,
( sQ195_spl
| ~ sQ40_spl
| ~ sQ272_spl
| ~ sQ261_spl
| ~ sQ150_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4219,f4330]) ).
fof(f4332,plain,
( sQ195_spl
| ~ sQ40_spl
| ~ sQ272_spl
| ~ sQ261_spl
| ~ sQ150_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4191,f4331]) ).
fof(f4333,plain,
( sQ195_spl
| ~ sQ40_spl
| ~ sQ272_spl
| ~ sQ261_spl
| ~ sQ150_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4332]) ).
fof(f4334,plain,
( sQ195_spl
| ~ sQ40_spl
| ~ sQ272_spl
| ~ sQ261_spl
| ~ sQ150_spl ),
inference(contradiction_clause,[status(thm)],[f4333]) ).
fof(f4335,plain,
( sQ215_spl
| ~ sQ31_spl
| ~ sQ208_spl
| ~ sQ280_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f4068,f4004]) ).
fof(f4342,plain,
( sQ164_spl
| ~ sQ11_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f4270,f1004,f747,f1320]) ).
fof(f4344,plain,
( sQ163_spl
| ~ sQ4_spl
| ~ sQ261_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f3904]) ).
fof(f4345,plain,
( sQ163_spl
| ~ sQ4_spl
| ~ sQ261_spl
| ~ sQ150_spl
| ~ sQ272_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4191,f4344]) ).
fof(f4346,plain,
( sQ163_spl
| ~ sQ4_spl
| ~ sQ261_spl
| ~ sQ150_spl
| ~ sQ272_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4345]) ).
fof(f4347,plain,
( sQ163_spl
| ~ sQ4_spl
| ~ sQ261_spl
| ~ sQ150_spl
| ~ sQ272_spl ),
inference(contradiction_clause,[status(thm)],[f4346]) ).
fof(f4395,plain,
( ~ sQ115_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f3482,f1065,f1117]) ).
fof(f4433,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2511,f738,f790]) ).
fof(f4436,plain,
( ~ sQ133_spl
| ~ sQ23_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f4292,f890,f786,f1208]) ).
fof(f4437,plain,
( ~ sQ117_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1125,f4243]) ).
fof(f4438,plain,
( ~ sQ117_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f4437]) ).
fof(f4441,plain,
( sQ168_spl
| ~ sQ80_spl
| h1(op1(e11,e12)) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f4093,f1334]) ).
fof(f4448,plain,
( sQ219_spl
| ~ sQ45_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ75_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f4304,f1137,f987,f1730,f1460,f858,f1493]) ).
fof(f4453,plain,
( ~ sQ119_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1131,f3480]) ).
fof(f4454,plain,
( ~ sQ119_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f4453]) ).
fof(f4455,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3998,f799,f812]) ).
fof(f4460,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1044,f2246]) ).
fof(f4461,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f4460]) ).
fof(f4493,plain,
( sQ199_spl
| ~ sQ57_spl
| h2(e11) != op2(e21,h2(e12)) ),
inference(backward_demodulation,[status(thm)],[f898,f2384]) ).
fof(f4497,plain,
( ~ sQ139_spl
| ~ sQ57_spl
| op1(op1(e13,e12),e13) = e11 ),
inference(backward_demodulation,[status(thm)],[f898,f1228]) ).
fof(f4499,plain,
( ~ sQ57_spl
| op1(e11,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f898,f132]) ).
fof(f4503,plain,
( ~ sQ139_spl
| ~ sQ57_spl
| op1(e11,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f898,f4497]) ).
fof(f4508,plain,
( ~ sQ261_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1650,f2279]) ).
fof(f4518,plain,
( sQ150_spl
| ~ sQ261_spl
| h2(e12) != e21 ),
inference(forward_demodulation,[status(thm)],[f1650,f3753]) ).
fof(f4521,plain,
( ~ sQ45_spl
| op1(e11,e13) != e11 ),
inference(backward_demodulation,[status(thm)],[f859,f137]) ).
fof(f4525,plain,
( ~ sQ269_spl
| e20 = op2(op2(e21,e21),op2(e21,e21)) ),
inference(forward_demodulation,[status(thm)],[f1684,f276]) ).
fof(f4541,plain,
( ~ sQ269_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e20 = op2(op2(e21,e21),e21) ),
inference(backward_demodulation,[status(thm)],[f4082,f4525]) ).
fof(f4543,plain,
( ~ sQ269_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e20 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4082,f4541]) ).
fof(f4544,plain,
( ~ sQ269_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4543]) ).
fof(f4545,plain,
( ~ sQ269_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4544,f218]) ).
fof(f4546,plain,
( ~ sQ269_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f4545]) ).
fof(f4547,plain,
( ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(e11) = op2(e21,op2(e21,e21)) ),
inference(forward_demodulation,[status(thm)],[f4082,f276]) ).
fof(f4548,plain,
( ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(e11) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4082,f4547]) ).
fof(f4549,plain,
( ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4548]) ).
fof(f4552,plain,
( sQ167_spl
| ~ sQ261_spl
| h1(op1(e11,e11)) != op2(e21,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1650,f1331]) ).
fof(f4553,plain,
( sQ167_spl
| ~ sQ261_spl
| h1(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f4552]) ).
fof(f4554,plain,
( sQ167_spl
| ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl
| h1(op1(e11,e11)) != e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4553]) ).
fof(f4556,plain,
( sQ273_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4549,f1702]) ).
fof(f4557,plain,
( sQ273_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4556]) ).
fof(f4558,plain,
( sQ273_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f4557]) ).
fof(f4561,plain,
( sQ169_spl
| ~ sQ261_spl
| h1(op1(e11,e13)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1650,f2476]) ).
fof(f4567,plain,
( ~ sQ261_spl
| h2(e12) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f3723]) ).
fof(f4568,plain,
( ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl
| h2(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4567]) ).
fof(f4569,plain,
( ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl
| sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4568,f1706]) ).
fof(f4570,plain,
( ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl
| sQ274_spl ),
inference(contradiction_clause,[status(thm)],[f4569]) ).
fof(f4571,plain,
( sQ150_spl
| ~ sQ261_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f4518,f1704,f1649,f1269]) ).
fof(f4594,plain,
( sQ189_spl
| ~ sQ16_spl
| h2(e10) != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f765,f1401]) ).
fof(f4595,plain,
( sQ189_spl
| ~ sQ16_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f4007,f4594]) ).
fof(f4596,plain,
( sQ189_spl
| ~ sQ16_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl
| e21 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f4549,f4595]) ).
fof(f4597,plain,
( sQ189_spl
| ~ sQ16_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4007,f4596]) ).
fof(f4598,plain,
( sQ189_spl
| ~ sQ16_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4597]) ).
fof(f4599,plain,
( sQ189_spl
| ~ sQ16_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4598]) ).
fof(f4600,plain,
( sQ189_spl
| ~ sQ16_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl ),
inference(contradiction_clause,[status(thm)],[f4599]) ).
fof(f4609,plain,
( ~ sQ156_spl
| ~ sQ121_spl
| op2(op2(e23,e22),e23) = e21 ),
inference(backward_demodulation,[status(thm)],[f1138,f1289]) ).
fof(f4611,plain,
( ~ sQ156_spl
| ~ sQ121_spl
| op2(e21,e23) = e21 ),
inference(forward_demodulation,[status(thm)],[f1138,f4609]) ).
fof(f4612,plain,
( ~ sQ156_spl
| ~ sQ121_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4611,f4508]) ).
fof(f4613,plain,
( ~ sQ156_spl
| ~ sQ121_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f4612]) ).
fof(f4614,plain,
( sQ156_spl
| ~ sQ121_spl
| op2(e21,e23) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1138,f1290]) ).
fof(f4615,plain,
( sQ156_spl
| ~ sQ121_spl
| op2(e21,e23) != e21 ),
inference(forward_demodulation,[status(thm)],[f1138,f4614]) ).
fof(f4616,plain,
( sQ166_spl
| ~ sQ16_spl
| ~ sQ261_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f3906]) ).
fof(f4617,plain,
( sQ166_spl
| ~ sQ16_spl
| ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4616]) ).
fof(f4618,plain,
( sQ166_spl
| ~ sQ16_spl
| ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4617]) ).
fof(f4619,plain,
( sQ166_spl
| ~ sQ16_spl
| ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl ),
inference(contradiction_clause,[status(thm)],[f4618]) ).
fof(f4624,plain,
( sQ169_spl
| ~ sQ261_spl
| ~ sQ31_spl
| h1(e13) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f813,f4561]) ).
fof(f4630,plain,
( sQ238_spl
| ~ sQ253_spl
| ~ sQ31_spl
| h4(e13) != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f813,f3110]) ).
fof(f4631,plain,
( sQ169_spl
| ~ sQ261_spl
| ~ sQ31_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f4624]) ).
fof(f4632,plain,
( sQ238_spl
| ~ sQ253_spl
| ~ sQ31_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1603,f4630]) ).
fof(f4634,plain,
( sQ245_spl
| ~ sQ253_spl
| ~ sQ302_spl
| ~ sQ121_spl
| ~ sQ57_spl
| h4(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f898,f2545]) ).
fof(f4635,plain,
( sQ245_spl
| ~ sQ253_spl
| ~ sQ302_spl
| ~ sQ121_spl
| ~ sQ57_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2346,f4634]) ).
fof(f4636,plain,
( sQ245_spl
| ~ sQ253_spl
| ~ sQ302_spl
| ~ sQ121_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4635]) ).
fof(f4637,plain,
( sQ245_spl
| ~ sQ253_spl
| ~ sQ302_spl
| ~ sQ121_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f4636]) ).
fof(f4642,plain,
( ~ sQ129_spl
| ~ sQ16_spl
| op1(e10,e11) = op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f765,f1196]) ).
fof(f4647,plain,
( ~ sQ129_spl
| ~ sQ16_spl
| e10 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f4650,f123]) ).
fof(f4649,plain,
( ~ sQ129_spl
| ~ sQ16_spl
| e10 != op1(e10,e12) ),
inference(backward_demodulation,[status(thm)],[f4650,f143]) ).
fof(f4650,plain,
( ~ sQ129_spl
| ~ sQ16_spl
| op1(e10,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f765,f4642]) ).
fof(f4652,plain,
( ~ sQ129_spl
| ~ sQ16_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f4647,f829,f764,f1195]) ).
fof(f4653,plain,
( ~ sQ129_spl
| ~ sQ16_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4649,f738,f764,f1195]) ).
fof(f4659,plain,
( sQ196_spl
| ~ sQ47_spl
| ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4568,f3563]) ).
fof(f4660,plain,
( sQ196_spl
| ~ sQ47_spl
| ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4659]) ).
fof(f4661,plain,
( sQ196_spl
| ~ sQ47_spl
| ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4660]) ).
fof(f4662,plain,
( sQ196_spl
| ~ sQ47_spl
| ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl ),
inference(contradiction_clause,[status(thm)],[f4661]) ).
fof(f4673,plain,
( sQ191_spl
| ~ sQ25_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != op2(h2(e11),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f4549,f3219]) ).
fof(f4674,plain,
( sQ191_spl
| ~ sQ25_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f4549,f4673]) ).
fof(f4675,plain,
( sQ191_spl
| ~ sQ25_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4568,f4674]) ).
fof(f4676,plain,
( sQ191_spl
| ~ sQ25_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4675]) ).
fof(f4677,plain,
( sQ191_spl
| ~ sQ25_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4676]) ).
fof(f4678,plain,
( sQ191_spl
| ~ sQ25_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f4677]) ).
fof(f4713,plain,
( sQ222_spl
| ~ sQ57_spl
| h3(e11) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f898,f2188]) ).
fof(f4714,plain,
( sQ222_spl
| ~ sQ57_spl
| ~ sQ229_spl
| h3(e11) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1526,f4713]) ).
fof(f4723,plain,
( ~ sQ288_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1765,f279]) ).
fof(f4743,plain,
( ~ sQ208_spl
| ~ sQ288_spl
| h3(e11) = op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1765,f3209]) ).
fof(f4744,plain,
( ~ sQ208_spl
| ~ sQ288_spl
| h3(e11) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1765,f4743]) ).
fof(f4745,plain,
( ~ sQ208_spl
| ~ sQ288_spl
| h3(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f4723,f4744]) ).
fof(f4746,plain,
( ~ sQ208_spl
| ~ sQ288_spl
| sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4745,f1770]) ).
fof(f4747,plain,
( ~ sQ208_spl
| ~ sQ288_spl
| sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f4746]) ).
fof(f4790,plain,
( sQ188_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4568,f4040]) ).
fof(f4791,plain,
( sQ188_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4790]) ).
fof(f4792,plain,
( sQ188_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4791]) ).
fof(f4793,plain,
( sQ188_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl ),
inference(contradiction_clause,[status(thm)],[f4792]) ).
fof(f4801,plain,
( ~ sQ151_spl
| ~ sQ103_spl
| op2(op2(e22,e21),e22) = e23 ),
inference(backward_demodulation,[status(thm)],[f1079,f1273]) ).
fof(f4808,plain,
( ~ sQ151_spl
| ~ sQ103_spl
| op2(e23,e22) = e23 ),
inference(forward_demodulation,[status(thm)],[f1079,f4801]) ).
fof(f4809,plain,
( ~ sQ151_spl
| ~ sQ103_spl
| ~ sQ121_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1138,f4808]) ).
fof(f4810,plain,
( ~ sQ151_spl
| ~ sQ103_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4809,f222]) ).
fof(f4811,plain,
( ~ sQ151_spl
| ~ sQ103_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f4810]) ).
fof(f4816,plain,
( sQ187_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl
| h2(op1(e10,e12)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4568,f4041]) ).
fof(f4817,plain,
( sQ187_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl
| h2(op1(e10,e12)) != e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4816]) ).
fof(f4828,plain,
( sQ186_spl
| ~ sQ272_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(op1(e10,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4549,f4169]) ).
fof(f4829,plain,
( sQ186_spl
| ~ sQ272_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(op1(e10,e11)) != e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4828]) ).
fof(f4851,plain,
( sQ186_spl
| ~ sQ272_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ7_spl
| h2(e13) != e21 ),
inference(backward_demodulation,[status(thm)],[f735,f4829]) ).
fof(f4854,plain,
( sQ186_spl
| ~ sQ272_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ7_spl
| ~ sQ275_spl ),
inference(split_clause,[status(thm)],[f4851,f1708,f734,f1649,f1314,f1432,f1696,f1390]) ).
fof(f4864,plain,
( sQ187_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ8_spl
| h2(e10) != e21 ),
inference(backward_demodulation,[status(thm)],[f739,f4817]) ).
fof(f4870,plain,
( ~ sQ8_spl
| e10 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f739,f129]) ).
fof(f4871,plain,
( sQ187_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ8_spl
| ~ sQ272_spl ),
inference(split_clause,[status(thm)],[f4864,f1696,f738,f1432,f1649,f1314,f1393]) ).
fof(f4881,plain,
( sQ236_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ21_spl
| h4(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f781,f4044]) ).
fof(f4882,plain,
( sQ167_spl
| ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ21_spl
| h1(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f781,f4554]) ).
fof(f4884,plain,
( ~ sQ21_spl
| e11 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f781,f149]) ).
fof(f4885,plain,
( ~ sQ21_spl
| e11 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f781,f125]) ).
fof(f4887,plain,
( sQ236_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ21_spl
| ~ sQ297_spl ),
inference(split_clause,[status(thm)],[f4881,f1802,f780,f1649,f1314,f1548]) ).
fof(f4888,plain,
( sQ167_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ21_spl
| ~ sQ261_spl ),
inference(split_clause,[status(thm)],[f4882,f1649,f780,f1314,f1432,f1329]) ).
fof(f4889,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f4884,f793,f780]) ).
fof(f4890,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f4885,f832,f780]) ).
fof(f4892,plain,
( ~ sQ8_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f4870,f842,f738]) ).
fof(f4899,plain,
( sQ191_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(op1(e11,e12)) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f4549,f1407]) ).
fof(f4900,plain,
( sQ191_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(op1(e11,e12)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4568,f4899]) ).
fof(f4901,plain,
( sQ191_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(op1(e11,e12)) != e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4900]) ).
fof(f4907,plain,
( sQ198_spl
| ~ sQ53_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4549,f3222]) ).
fof(f4908,plain,
( sQ198_spl
| ~ sQ53_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4549,f4907]) ).
fof(f4909,plain,
( sQ198_spl
| ~ sQ53_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f4908]) ).
fof(f4910,plain,
( sQ198_spl
| ~ sQ53_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4909]) ).
fof(f4911,plain,
( sQ198_spl
| ~ sQ53_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f4910]) ).
fof(f4918,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f739,f745]) ).
fof(f4919,plain,
( ~ sQ10_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4918,f213]) ).
fof(f4920,plain,
( ~ sQ10_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f4919]) ).
fof(f4949,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f739,f742]) ).
fof(f4950,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4949,f212]) ).
fof(f4951,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f4950]) ).
fof(f4982,plain,
( ~ sQ158_spl
| ~ sQ95_spl
| op2(e23,e21) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1053,f1296]) ).
fof(f4983,plain,
( ~ sQ158_spl
| ~ sQ95_spl
| ~ sQ118_spl
| e22 = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1128,f4982]) ).
fof(f4984,plain,
( ~ sQ158_spl
| ~ sQ95_spl
| ~ sQ118_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f1053,f4983]) ).
fof(f4985,plain,
( ~ sQ158_spl
| ~ sQ95_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4984,f223]) ).
fof(f4986,plain,
( ~ sQ158_spl
| ~ sQ95_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f4985]) ).
fof(f4990,plain,
( ~ sQ159_spl
| ~ sQ109_spl
| op2(e21,e22) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1099,f1299]) ).
fof(f4991,plain,
( ~ sQ159_spl
| ~ sQ109_spl
| ~ sQ88_spl
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1031,f4990]) ).
fof(f4992,plain,
( ~ sQ159_spl
| ~ sQ109_spl
| ~ sQ88_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1099,f4991]) ).
fof(f4993,plain,
( ~ sQ159_spl
| ~ sQ109_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4992,f218]) ).
fof(f4994,plain,
( ~ sQ159_spl
| ~ sQ109_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f4993]) ).
fof(f4997,plain,
( ~ sQ121_spl
| h3(e10) != e21 ),
inference(forward_demodulation,[status(thm)],[f1138,f3187]) ).
fof(f5006,plain,
( ~ sQ268_spl
| ~ sQ261_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1650,f2301]) ).
fof(f5007,plain,
( ~ sQ268_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5006,f218]) ).
fof(f5008,plain,
( ~ sQ268_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f5007]) ).
fof(f5031,plain,
( sQ199_spl
| ~ sQ57_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f4549,f4493]) ).
fof(f5032,plain,
( sQ199_spl
| ~ sQ57_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4568,f5031]) ).
fof(f5033,plain,
( sQ199_spl
| ~ sQ57_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f5032]) ).
fof(f5034,plain,
( sQ199_spl
| ~ sQ57_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5033]) ).
fof(f5035,plain,
( sQ199_spl
| ~ sQ57_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f5034]) ).
fof(f5043,plain,
( ~ sQ152_spl
| ~ sQ118_spl
| op2(e22,e23) = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1128,f1276]) ).
fof(f5044,plain,
( ~ sQ152_spl
| ~ sQ118_spl
| ~ sQ109_spl
| e21 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1099,f5043]) ).
fof(f5045,plain,
( ~ sQ152_spl
| ~ sQ118_spl
| ~ sQ109_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1128,f5044]) ).
fof(f5046,plain,
( ~ sQ152_spl
| ~ sQ118_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5045,f221]) ).
fof(f5047,plain,
( ~ sQ152_spl
| ~ sQ118_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f5046]) ).
fof(f5057,plain,
( sQ192_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(op1(e11,e13)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4549,f2473]) ).
fof(f5058,plain,
( sQ192_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(op1(e11,e13)) != e21 ),
inference(forward_demodulation,[status(thm)],[f4082,f5057]) ).
fof(f5129,plain,
( sQ192_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ29_spl
| h2(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f807,f5058]) ).
fof(f5132,plain,
( sQ192_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ29_spl
| ~ sQ273_spl ),
inference(split_clause,[status(thm)],[f5129,f1700,f806,f1649,f1314,f1432,f1408]) ).
fof(f5178,plain,
( ~ sQ227_spl
| h3(e11) = op2(e23,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f1518,f3206]) ).
fof(f5179,plain,
( ~ sQ227_spl
| h3(e11) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1518,f5178]) ).
fof(f5180,plain,
( ~ sQ227_spl
| h3(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f267,f5179]) ).
fof(f5181,plain,
( ~ sQ227_spl
| sQ281_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5180,f1736]) ).
fof(f5182,plain,
( ~ sQ227_spl
| sQ281_spl ),
inference(contradiction_clause,[status(thm)],[f5181]) ).
fof(f5199,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f748,f739]) ).
fof(f5200,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5199,f214]) ).
fof(f5201,plain,
( ~ sQ8_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f5200]) ).
fof(f5258,plain,
( ~ sQ146_spl
| ~ sQ80_spl
| op2(e20,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f4093,f4204]) ).
fof(f5261,plain,
( ~ sQ146_spl
| ~ sQ80_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f5258,f965,f1004,f1256]) ).
fof(f5270,plain,
( sQ156_spl
| ~ sQ121_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f4615,f1046,f1137,f1288]) ).
fof(f5280,plain,
( ~ sQ121_spl
| ~ sQ284_spl ),
inference(split_clause,[status(thm)],[f4997,f1747,f1137]) ).
fof(f5303,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3598,f773,f877]) ).
fof(f5316,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| op1(e13,e12) = op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f865,f1238]) ).
fof(f5317,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| op1(e13,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f865,f5316]) ).
fof(f5318,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5317,f905]) ).
fof(f5319,plain,
( ~ sQ142_spl
| ~ sQ47_spl
| sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f5318]) ).
fof(f5330,plain,
( ~ sQ154_spl
| ~ sQ90_spl
| op2(op2(e21,e22),e21) = e22 ),
inference(backward_demodulation,[status(thm)],[f1037,f1283]) ).
fof(f5334,plain,
( ~ sQ154_spl
| ~ sQ90_spl
| op2(e22,e21) = e22 ),
inference(forward_demodulation,[status(thm)],[f1037,f5330]) ).
fof(f5335,plain,
( ~ sQ154_spl
| ~ sQ90_spl
| sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5334,f1077]) ).
fof(f5336,plain,
( ~ sQ154_spl
| ~ sQ90_spl
| sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f5335]) ).
fof(f5346,plain,
( sQ169_spl
| ~ sQ261_spl
| ~ sQ31_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f4631,f1004,f812,f1649,f1335]) ).
fof(f5347,plain,
( sQ238_spl
| ~ sQ253_spl
| ~ sQ31_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f4632,f1052,f812,f1602,f1554]) ).
fof(f5348,plain,
( sQ215_spl
| ~ sQ31_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f4335,f1036,f1730,f1460,f812,f1481]) ).
fof(f5377,plain,
( sQ190_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(op1(e11,e11)) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4549,f1404]) ).
fof(f5378,plain,
( sQ190_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4549,f5377]) ).
fof(f5384,plain,
( sQ168_spl
| ~ sQ80_spl
| ~ sQ261_spl
| h1(op1(e11,e12)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1650,f4441]) ).
fof(f5385,plain,
( sQ168_spl
| ~ sQ80_spl
| ~ sQ261_spl
| h1(op1(e11,e12)) != e20 ),
inference(forward_demodulation,[status(thm)],[f4085,f5384]) ).
fof(f5394,plain,
( ~ sQ280_spl
| ~ sQ75_spl
| ~ sQ286_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1756,f4163]) ).
fof(f5395,plain,
( ~ sQ280_spl
| ~ sQ75_spl
| ~ sQ286_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5394,f222]) ).
fof(f5396,plain,
( ~ sQ280_spl
| ~ sQ75_spl
| ~ sQ286_spl ),
inference(contradiction_clause,[status(thm)],[f5395]) ).
fof(f5409,plain,
( ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl
| e21 = op2(h1(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f4568,f3723]) ).
fof(f5414,plain,
( sQ190_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| h2(op1(e11,e11)) != e21 ),
inference(backward_demodulation,[status(thm)],[f5415,f5378]) ).
fof(f5415,plain,
( ~ sQ261_spl
| ~ sQ200_spl
| ~ sQ162_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f5409]) ).
fof(f5445,plain,
( sQ212_spl
| ~ sQ208_spl
| ~ sQ280_spl
| h3(op1(e11,e10)) != op2(e21,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f4068,f1474]) ).
fof(f5446,plain,
( sQ212_spl
| ~ sQ208_spl
| ~ sQ280_spl
| h3(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1731,f5445]) ).
fof(f5447,plain,
( sQ212_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ80_spl
| h3(op1(e11,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f4085,f5446]) ).
fof(f5457,plain,
( sQ214_spl
| ~ sQ208_spl
| ~ sQ280_spl
| h3(op1(e11,e12)) != op2(e21,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f4068,f1480]) ).
fof(f5458,plain,
( sQ214_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ229_spl
| h3(op1(e11,e12)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1526,f5457]) ).
fof(f5472,plain,
( sQ241_spl
| ~ sQ280_spl
| h4(op1(e12,e12)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1731,f3365]) ).
fof(f5571,plain,
( sQ214_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ229_spl
| ~ sQ95_spl
| h3(op1(e11,e12)) != e23 ),
inference(backward_demodulation,[status(thm)],[f1053,f5458]) ).
fof(f5689,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f778,f784]) ).
fof(f5690,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5689,f213]) ).
fof(f5691,plain,
( ~ sQ22_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f5690]) ).
fof(f5825,plain,
( ~ sQ135_spl
| ~ sQ53_spl
| op1(e11,e13) = op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f885,f1215]) ).
fof(f5826,plain,
( ~ sQ135_spl
| ~ sQ53_spl
| op1(e11,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f885,f5825]) ).
fof(f5853,plain,
( ~ sQ139_spl
| ~ sQ58_spl
| op1(op1(e13,e12),e13) = e12 ),
inference(backward_demodulation,[status(thm)],[f901,f1228]) ).
fof(f5859,plain,
( ~ sQ139_spl
| ~ sQ58_spl
| op1(e12,e13) = e12 ),
inference(forward_demodulation,[status(thm)],[f901,f5853]) ).
fof(f5861,plain,
( ~ sQ45_spl
| ~ sQ135_spl
| ~ sQ53_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f5826,f4521]) ).
fof(f5862,plain,
( ~ sQ45_spl
| ~ sQ135_spl
| ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5861]) ).
fof(f5863,plain,
( ~ sQ45_spl
| ~ sQ135_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f5862]) ).
fof(f5909,plain,
( ~ sQ138_spl
| ~ sQ43_spl
| op1(op1(e12,e12),e12) = e13 ),
inference(backward_demodulation,[status(thm)],[f852,f1225]) ).
fof(f5914,plain,
( ~ sQ138_spl
| ~ sQ43_spl
| op1(e13,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f852,f5909]) ).
fof(f5915,plain,
( ~ sQ138_spl
| ~ sQ43_spl
| ~ sQ58_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f901,f5914]) ).
fof(f5916,plain,
( ~ sQ138_spl
| ~ sQ43_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5915,f217]) ).
fof(f5917,plain,
( ~ sQ138_spl
| ~ sQ43_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f5916]) ).
fof(f5955,plain,
( ~ sQ141_spl
| ~ sQ31_spl
| op1(e13,e11) = op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f813,f1235]) ).
fof(f5956,plain,
( ~ sQ141_spl
| ~ sQ31_spl
| ~ sQ53_spl
| e11 = op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f885,f5955]) ).
fof(f5957,plain,
( ~ sQ141_spl
| ~ sQ31_spl
| ~ sQ53_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f813,f5956]) ).
fof(f5958,plain,
( ~ sQ141_spl
| ~ sQ31_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5957,f216]) ).
fof(f5959,plain,
( ~ sQ141_spl
| ~ sQ31_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f5958]) ).
fof(f5971,plain,
( ~ sQ182_spl
| e23 = h2(e10) ),
inference(forward_demodulation,[status(thm)],[f275,f3166]) ).
fof(f6168,plain,
( ~ sQ139_spl
| ~ sQ58_spl
| ~ sQ45_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f859,f5859]) ).
fof(f6169,plain,
( ~ sQ139_spl
| ~ sQ58_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6168,f215]) ).
fof(f6170,plain,
( ~ sQ139_spl
| ~ sQ58_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f6169]) ).
fof(f6223,plain,
( sQ209_spl
| ~ sQ280_spl
| ~ sQ208_spl
| ~ sQ68_spl
| h3(op1(e10,e11)) != e20 ),
inference(forward_demodulation,[status(thm)],[f966,f4148]) ).
fof(f6256,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f4499,f793,f897]) ).
fof(f6259,plain,
( sQ222_spl
| ~ sQ57_spl
| ~ sQ229_spl
| ~ sQ208_spl
| ~ sQ280_spl
| e21 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f4068,f4714]) ).
fof(f6260,plain,
( ~ sQ139_spl
| ~ sQ57_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f4503,f806,f897,f1227]) ).
fof(f6331,plain,
( sQ213_spl
| ~ sQ21_spl
| ~ sQ208_spl
| ~ sQ280_spl
| e21 != op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f4068,f3211]) ).
fof(f6332,plain,
( sQ213_spl
| ~ sQ21_spl
| ~ sQ208_spl
| ~ sQ280_spl
| e21 != op2(e21,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f4068,f6331]) ).
fof(f6333,plain,
( sQ213_spl
| ~ sQ21_spl
| ~ sQ208_spl
| ~ sQ280_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4068,f6332]) ).
fof(f6344,plain,
( sQ142_spl
| ~ sQ45_spl
| op1(e11,e12) != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f859,f1239]) ).
fof(f6345,plain,
( sQ142_spl
| ~ sQ45_spl
| op1(e11,e12) != e11 ),
inference(forward_demodulation,[status(thm)],[f859,f6344]) ).
fof(f6375,plain,
( ~ sQ151_spl
| ~ sQ101_spl
| op2(op2(e22,e21),e22) = e21 ),
inference(backward_demodulation,[status(thm)],[f1073,f1273]) ).
fof(f6378,plain,
( ~ sQ151_spl
| ~ sQ101_spl
| op2(e21,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f1073,f6375]) ).
fof(f6379,plain,
( ~ sQ151_spl
| ~ sQ101_spl
| ~ sQ90_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1037,f6378]) ).
fof(f6380,plain,
( ~ sQ151_spl
| ~ sQ101_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6379,f221]) ).
fof(f6381,plain,
( ~ sQ151_spl
| ~ sQ101_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f6380]) ).
fof(f6382,plain,
( ~ sQ150_spl
| ~ sQ182_spl
| op2(e23,e21) = h2(e10) ),
inference(forward_demodulation,[status(thm)],[f5971,f3535]) ).
fof(f6383,plain,
( ~ sQ150_spl
| ~ sQ182_spl
| ~ sQ118_spl
| e22 = h2(e10) ),
inference(forward_demodulation,[status(thm)],[f1128,f6382]) ).
fof(f6384,plain,
( ~ sQ150_spl
| ~ sQ182_spl
| ~ sQ118_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f5971,f6383]) ).
fof(f6385,plain,
( ~ sQ150_spl
| ~ sQ182_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6384,f223]) ).
fof(f6386,plain,
( ~ sQ150_spl
| ~ sQ182_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f6385]) ).
fof(f6392,plain,
( ~ sQ152_spl
| ~ sQ118_spl
| ~ sQ111_spl
| e23 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1105,f5043]) ).
fof(f6393,plain,
( ~ sQ152_spl
| ~ sQ118_spl
| ~ sQ111_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1128,f6392]) ).
fof(f6394,plain,
( ~ sQ152_spl
| ~ sQ118_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6393,f223]) ).
fof(f6395,plain,
( ~ sQ152_spl
| ~ sQ118_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f6394]) ).
fof(f6398,plain,
( sQ192_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ31_spl
| h2(e13) != e21 ),
inference(forward_demodulation,[status(thm)],[f813,f5058]) ).
fof(f6399,plain,
( sQ192_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ31_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f274,f6398]) ).
fof(f6400,plain,
( sQ192_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6399]) ).
fof(f6401,plain,
( sQ192_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f6400]) ).
fof(f6404,plain,
( sQ213_spl
| ~ sQ21_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f6333,f1020,f1730,f1460,f780,f1475]) ).
fof(f6405,plain,
( sQ222_spl
| ~ sQ57_spl
| ~ sQ229_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f6259,f1098,f1730,f1460,f1525,f897,f1502]) ).
fof(f6438,plain,
( sQ212_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ80_spl
| ~ sQ16_spl
| h3(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f765,f5447]) ).
fof(f6439,plain,
( sQ212_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ80_spl
| ~ sQ16_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1731,f6438]) ).
fof(f6440,plain,
( sQ212_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ80_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6439]) ).
fof(f6441,plain,
( sQ212_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ80_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f6440]) ).
fof(f6449,plain,
( sQ209_spl
| ~ sQ280_spl
| ~ sQ208_spl
| ~ sQ68_spl
| ~ sQ4_spl
| h3(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f726,f6223]) ).
fof(f6450,plain,
( sQ209_spl
| ~ sQ280_spl
| ~ sQ208_spl
| ~ sQ68_spl
| ~ sQ4_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1731,f6449]) ).
fof(f6451,plain,
( sQ209_spl
| ~ sQ280_spl
| ~ sQ208_spl
| ~ sQ68_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6450]) ).
fof(f6452,plain,
( sQ209_spl
| ~ sQ280_spl
| ~ sQ208_spl
| ~ sQ68_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f6451]) ).
fof(f6486,plain,
( sQ176_spl
| ~ sQ80_spl
| ~ sQ57_spl
| h1(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f898,f4096]) ).
fof(f6490,plain,
( sQ176_spl
| ~ sQ80_spl
| ~ sQ57_spl
| ~ sQ261_spl ),
inference(split_clause,[status(thm)],[f6486,f1649,f897,f1004,f1356]) ).
fof(f6516,plain,
( sQ241_spl
| ~ sQ280_spl
| ~ sQ40_spl
| h4(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f843,f5472]) ).
fof(f6517,plain,
( sQ241_spl
| ~ sQ280_spl
| ~ sQ40_spl
| ~ sQ246_spl
| ~ sQ253_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2530,f6516]) ).
fof(f6518,plain,
( sQ241_spl
| ~ sQ280_spl
| ~ sQ40_spl
| ~ sQ246_spl
| ~ sQ253_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6517]) ).
fof(f6519,plain,
( sQ241_spl
| ~ sQ280_spl
| ~ sQ40_spl
| ~ sQ246_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f6518]) ).
fof(f6563,plain,
( ~ sQ34_spl
| e12 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f823,f152]) ).
fof(f6614,plain,
( sQ237_spl
| ~ sQ297_spl
| ~ sQ90_spl
| ~ sQ26_spl
| h4(e12) != e22 ),
inference(backward_demodulation,[status(thm)],[f797,f3254]) ).
fof(f6618,plain,
( sQ237_spl
| ~ sQ297_spl
| ~ sQ90_spl
| ~ sQ26_spl
| ~ sQ302_spl ),
inference(split_clause,[status(thm)],[f6614,f1823,f796,f1036,f1802,f1551]) ).
fof(f6627,plain,
( sQ142_spl
| ~ sQ45_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f6345,f793,f858,f1237]) ).
fof(f6667,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f726,f729]) ).
fof(f6668,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6667,f212]) ).
fof(f6669,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f6668]) ).
fof(f6670,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f748,f745]) ).
fof(f6671,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6670,f217]) ).
fof(f6672,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f6671]) ).
fof(f6944,plain,
( sQ190_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ22_spl
| h2(e12) != e21 ),
inference(backward_demodulation,[status(thm)],[f784,f5414]) ).
fof(f6948,plain,
( sQ190_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ22_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f6944,f1704,f783,f1649,f1314,f1432,f1402]) ).
fof(f6994,plain,
( ~ sQ133_spl
| ~ sQ22_spl
| op1(e12,e11) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f784,f1209]) ).
fof(f6995,plain,
( ~ sQ133_spl
| ~ sQ22_spl
| ~ sQ39_spl
| e13 = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f839,f6994]) ).
fof(f6996,plain,
( ~ sQ133_spl
| ~ sQ22_spl
| ~ sQ39_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f784,f6995]) ).
fof(f6997,plain,
( ~ sQ133_spl
| ~ sQ22_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6996,f217]) ).
fof(f6998,plain,
( ~ sQ133_spl
| ~ sQ22_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f6997]) ).
fof(f7002,plain,
( ~ sQ134_spl
| ~ sQ39_spl
| op1(e13,e12) = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f839,f1212]) ).
fof(f7003,plain,
( ~ sQ134_spl
| ~ sQ39_spl
| ~ sQ58_spl
| e12 = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f901,f7002]) ).
fof(f7004,plain,
( ~ sQ134_spl
| ~ sQ39_spl
| ~ sQ58_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f839,f7003]) ).
fof(f7005,plain,
( ~ sQ134_spl
| ~ sQ39_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7004,f217]) ).
fof(f7006,plain,
( ~ sQ134_spl
| ~ sQ39_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f7005]) ).
fof(f7051,plain,
( sQ159_spl
| ~ sQ109_spl
| op2(op2(e22,e23),e22) != e21 ),
inference(backward_demodulation,[status(thm)],[f1099,f1300]) ).
fof(f7053,plain,
( sQ159_spl
| ~ sQ109_spl
| op2(e21,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f1099,f7051]) ).
fof(f7106,plain,
( sQ191_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ26_spl
| h2(e12) != e21 ),
inference(backward_demodulation,[status(thm)],[f797,f4901]) ).
fof(f7108,plain,
( sQ214_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ229_spl
| ~ sQ95_spl
| ~ sQ26_spl
| h3(e12) != e23 ),
inference(backward_demodulation,[status(thm)],[f797,f5571]) ).
fof(f7113,plain,
( sQ168_spl
| ~ sQ80_spl
| ~ sQ261_spl
| ~ sQ26_spl
| h1(e12) != e20 ),
inference(backward_demodulation,[status(thm)],[f797,f5385]) ).
fof(f7114,plain,
( sQ191_spl
| ~ sQ200_spl
| ~ sQ162_spl
| ~ sQ261_spl
| ~ sQ26_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f7106,f1704,f796,f1649,f1314,f1432,f1405]) ).
fof(f7115,plain,
( sQ214_spl
| ~ sQ208_spl
| ~ sQ280_spl
| ~ sQ95_spl
| ~ sQ26_spl
| ~ sQ229_spl ),
inference(split_clause,[status(thm)],[f7108,f1525,f796,f1052,f1730,f1460,f1478]) ).
fof(f7116,plain,
( sQ168_spl
| ~ sQ80_spl
| ~ sQ261_spl
| ~ sQ26_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4093,f7113]) ).
fof(f7117,plain,
( sQ168_spl
| ~ sQ80_spl
| ~ sQ261_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7116]) ).
fof(f7118,plain,
( sQ168_spl
| ~ sQ80_spl
| ~ sQ261_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f7117]) ).
fof(f7133,plain,
( ~ sQ134_spl
| ~ sQ37_spl
| op1(op1(e12,e11),e12) = e11 ),
inference(backward_demodulation,[status(thm)],[f833,f1212]) ).
fof(f7136,plain,
( ~ sQ134_spl
| ~ sQ37_spl
| op1(e11,e12) = e11 ),
inference(forward_demodulation,[status(thm)],[f833,f7133]) ).
fof(f7137,plain,
( ~ sQ134_spl
| ~ sQ37_spl
| ~ sQ26_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f797,f7136]) ).
fof(f7138,plain,
( ~ sQ134_spl
| ~ sQ37_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7137,f215]) ).
fof(f7139,plain,
( ~ sQ134_spl
| ~ sQ37_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f7138]) ).
fof(f7144,plain,
( ~ sQ135_spl
| ~ sQ54_spl
| op1(e12,e13) = op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f888,f1215]) ).
fof(f7145,plain,
( ~ sQ135_spl
| ~ sQ54_spl
| ~ sQ47_spl
| e13 = op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f865,f7144]) ).
fof(f7146,plain,
( ~ sQ135_spl
| ~ sQ54_spl
| ~ sQ47_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f888,f7145]) ).
fof(f7147,plain,
( ~ sQ135_spl
| ~ sQ54_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7146,f217]) ).
fof(f7148,plain,
( ~ sQ135_spl
| ~ sQ54_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f7147]) ).
fof(f7176,plain,
( ~ sQ34_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f6563,f835,f822]) ).
fof(f7219,plain,
( ~ sQ159_spl
| ~ sQ111_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f3497,f1143,f1104,f1298]) ).
fof(f7221,plain,
( ~ sQ159_spl
| ~ sQ111_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f3510,f1117,f1104,f1298]) ).
fof(f7223,plain,
( ~ sQ88_spl
| ~ sQ90_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1037,f1031]) ).
fof(f7224,plain,
( ~ sQ88_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7223,f219]) ).
fof(f7225,plain,
( ~ sQ88_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f7224]) ).
fof(f7250,plain,
( ~ sQ147_spl
| ~ sQ157_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3397,f1764,f1292,f1259]) ).
fof(f7266,plain,
( sQ159_spl
| ~ sQ109_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f7053,f1033,f1098,f1298]) ).
fof(f7270,plain,
( ~ sQ151_spl
| ~ sQ103_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f4808,f1143,f1078,f1272]) ).
fof(f7476,plain,
( ~ sQ137_spl
| ~ sQ26_spl
| op1(op1(e11,e12),e11) = e12 ),
inference(backward_demodulation,[status(thm)],[f797,f1222]) ).
fof(f7477,plain,
( ~ sQ137_spl
| ~ sQ26_spl
| op1(e12,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f797,f7476]) ).
fof(f7478,plain,
( ~ sQ137_spl
| ~ sQ26_spl
| ~ sQ39_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f839,f7477]) ).
fof(f7479,plain,
( ~ sQ137_spl
| ~ sQ26_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7478,f217]) ).
fof(f7480,plain,
( ~ sQ137_spl
| ~ sQ26_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f7479]) ).
fof(f7558,plain,
( ~ sQ156_spl
| ~ sQ122_spl
| op2(op2(e23,e22),e23) = e22 ),
inference(backward_demodulation,[status(thm)],[f1141,f1289]) ).
fof(f7562,plain,
( ~ sQ156_spl
| ~ sQ122_spl
| op2(e22,e23) = e22 ),
inference(forward_demodulation,[status(thm)],[f1141,f7558]) ).
fof(f7563,plain,
( ~ sQ156_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7562,f2266]) ).
fof(f7564,plain,
( ~ sQ156_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f7563]) ).
fof(f7735,plain,
( ~ sQ89_spl
| op2(e20,e22) != e21 ),
inference(backward_demodulation,[status(thm)],[f1034,f176]) ).
fof(f7738,plain,
( ~ sQ89_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f7735,f981,f1033]) ).
fof(f7754,plain,
( ~ sQ152_spl
| ~ sQ117_spl
| op2(e21,e23) = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1125,f1276]) ).
fof(f7755,plain,
( ~ sQ152_spl
| ~ sQ117_spl
| ~ sQ95_spl
| e23 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1053,f7754]) ).
fof(f7756,plain,
( ~ sQ152_spl
| ~ sQ117_spl
| ~ sQ95_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1125,f7755]) ).
fof(f7757,plain,
( ~ sQ152_spl
| ~ sQ117_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7756,f222]) ).
fof(f7758,plain,
( ~ sQ152_spl
| ~ sQ117_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f7757]) ).
fof(f8036,plain,
( ~ sQ155_spl
| ~ sQ227_spl
| op2(e23,e22) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3424,f1286]) ).
fof(f8037,plain,
( ~ sQ155_spl
| ~ sQ227_spl
| ~ sQ122_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1141,f8036]) ).
fof(f8038,plain,
( ~ sQ155_spl
| ~ sQ227_spl
| ~ sQ122_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f3424,f8037]) ).
fof(f8039,plain,
( ~ sQ155_spl
| ~ sQ227_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8038,f223]) ).
fof(f8040,plain,
( ~ sQ155_spl
| ~ sQ227_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f8039]) ).
fof(f8041,plain,
$false,
inference(sat_refutation,[status(thm)],[f724,f737,f763,f776,f789,f802,f828,f841,f854,f867,f880,f893,f906,f919,f920,f921,f926,f928,f929,f930,f931,f932,f934,f935,f936,f937,f938,f939,f941,f942,f946,f947,f951,f964,f1003,f1029,f1055,f1081,f1107,f1120,f1133,f1146,f1159,f1160,f1161,f1165,f1166,f1167,f1168,f1170,f1171,f1172,f1173,f1175,f1176,f1177,f1178,f1180,f1182,f1183,f1204,f1217,f1230,f1243,f1247,f1265,f1278,f1291,f1304,f1308,f1605,f1609,f1620,f1648,f1673,f1678,f1695,f1711,f1729,f1733,f1754,f1779,f1784,f1805,f1826,f1835,f1846,f1858,f1860,f1861,f1869,f1871,f1879,f1880,f1885,f1890,f1891,f1896,f1901,f1905,f1906,f1907,f1912,f1914,f1916,f1918,f1923,f1924,f1927,f1929,f1934,f1938,f1939,f1940,f1945,f1946,f1951,f1956,f1957,f1963,f1967,f1973,f1978,f1981,f1989,f1991,f1993,f1994,f1996,f2000,f2004,f2011,f2016,f2022,f2025,f2026,f2027,f2034,f2044,f2045,f2055,f2066,f2077,f2088,f2100,f2104,f2111,f2113,f2114,f2115,f2118,f2125,f2135,f2180,f2195,f2204,f2207,f2210,f2216,f2252,f2255,f2271,f2274,f2296,f2307,f2310,f2325,f2328,f2343,f2349,f2354,f2362,f2431,f2444,f2456,f2479,f2513,f2516,f2526,f2543,f2585,f2588,f2594,f2618,f2646,f2655,f2699,f2702,f2720,f2729,f2732,f2736,f2738,f2741,f2753,f2764,f2770,f2789,f2800,f2809,f2818,f2847,f2850,f2852,f2862,f2895,f2900,f2901,f2918,f2924,f2930,f2952,f2960,f2975,f2978,f2981,f2984,f2990,f2993,f2997,f3034,f3040,f3043,f3046,f3049,f3055,f3058,f3059,f3070,f3072,f3073,f3081,f3082,f3091,f3109,f3114,f3125,f3130,f3155,f3169,f3174,f3176,f3178,f3179,f3183,f3193,f3198,f3202,f3208,f3226,f3235,f3238,f3242,f3246,f3248,f3252,f3256,f3258,f3259,f3260,f3263,f3264,f3267,f3271,f3274,f3278,f3281,f3284,f3285,f3313,f3319,f3332,f3335,f3336,f3340,f3346,f3358,f3361,f3373,f3375,f3379,f3382,f3384,f3385,f3387,f3388,f3395,f3396,f3402,f3405,f3407,f3409,f3414,f3416,f3417,f3421,f3432,f3443,f3450,f3459,f3460,f3461,f3464,f3468,f3485,f3487,f3511,f3525,f3554,f3576,f3579,f3582,f3590,f3591,f3594,f3602,f3614,f3615,f3616,f3621,f3622,f3624,f3642,f3693,f3717,f3735,f3736,f3741,f3743,f3744,f3750,f3759,f3760,f3761,f3763,f3765,f3769,f3785,f3804,f3817,f3898,f3937,f3939,f3942,f3967,f3970,f3974,f3981,f4003,f4009,f4013,f4016,f4019,f4021,f4024,f4025,f4047,f4058,f4078,f4098,f4105,f4112,f4116,f4128,f4131,f4133,f4136,f4155,f4165,f4253,f4259,f4276,f4309,f4314,f4318,f4323,f4328,f4334,f4342,f4347,f4395,f4433,f4436,f4438,f4448,f4454,f4455,f4461,f4546,f4558,f4570,f4571,f4600,f4613,f4619,f4637,f4652,f4653,f4662,f4678,f4747,f4793,f4811,f4854,f4871,f4887,f4888,f4889,f4890,f4892,f4911,f4920,f4951,f4986,f4994,f5008,f5035,f5047,f5132,f5182,f5201,f5261,f5270,f5280,f5303,f5319,f5336,f5346,f5347,f5348,f5396,f5691,f5863,f5917,f5959,f6170,f6256,f6260,f6381,f6386,f6395,f6401,f6404,f6405,f6441,f6452,f6490,f6519,f6618,f6627,f6669,f6672,f6948,f6998,f7006,f7114,f7115,f7118,f7139,f7148,f7176,f7219,f7221,f7225,f7250,f7266,f7270,f7480,f7564,f7738,f7758,f8040]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG108+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 12:57:10 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 6.87/1.34 % Refutation found
% 6.87/1.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.87/1.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.87/1.39 % Elapsed time: 1.021086 seconds
% 6.87/1.39 % CPU time: 7.339032 seconds
% 6.87/1.39 % Total memory used: 206.223 MB
% 6.87/1.39 % Net memory used: 204.519 MB
%------------------------------------------------------------------------------