%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG120+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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:18 AM UTC 2026
% Result : Theorem 0.27s 1.27s
% Output : CNFRefutation 4.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 343
% Syntax : Number of formulae : 2105 ( 211 unt; 326 def)
% Number of atoms : 8830 (5117 equ)
% Maximal formula atoms : 176 ( 4 avg)
% Number of connectives : 11240 (4515 ~;4083 |;2288 &)
% ( 354 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 328 ( 326 usr; 327 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,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e13,e10) != e13 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13
| op1(e11,e13) != e11 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e11,e12) != e11 )
& ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11
| op1(e11,e11) != e11 )
& ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e11,e10) != e11 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e23,e20) != e23 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23
| op2(e21,e23) != e21 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e21,e22) != e21 )
& ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21
| op2(e21,e21) != e21 )
& ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e21,e20) != e21 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e13 = op1(e12,e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e10 = op1(op1(e12,e12),e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e23 = op2(e22,e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e20 = op2(op2(e22,e22),e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = op2(e20,e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e12) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = op2(e21,e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e12) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = op2(e22,e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e12) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = op2(e23,e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e10) = op2(op2(e23,e23),e23)
& h4(e12) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(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(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(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(f31,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(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(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(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(f56,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f68,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f72,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(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(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(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(f88,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f90,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f92,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f93,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f98,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f101,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f103,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f104,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f109,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f110,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f112,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f113,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f117,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f123,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f124,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f125,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,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(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f137,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f138,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f139,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f140,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f141,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f143,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(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(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f166,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f167,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f169,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f172,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f175,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f177,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f178,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f179,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f183,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f184,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f185,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f187,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f189,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f193,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f195,plain,
op2(e21,e20) != 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(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f205,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,plain,
( ( ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| sP0_prd )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e13,e10) != e13 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13
| op1(e11,e13) != e11 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e11,e12) != e11 )
& ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11
| op1(e11,e11) != e11 )
& ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e11,e10) != e11 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f244,plain,
( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e10,e12) != e10 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f248,plain,
( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e11,e12) != e11 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f250,plain,
( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e12,e10) != e12 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f254,plain,
( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e13,e10) != e13 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f258,plain,
( op1(e13,e13) = e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f264,definition,
( sP1_prd
<=> ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f265,plain,
( ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| sP1_prd )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e23,e20) != e23 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23
| op2(e21,e23) != e21 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e21,e22) != e21 )
& ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21
| op2(e21,e21) != e21 )
& ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e21,e20) != e21 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ),
inference(formula_renaming,[status(thm)],[f11,f264]) ).
fof(f272,plain,
( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e21,e22) != e21 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f274,plain,
( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e22,e20) != e22 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f278,plain,
( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e23,e20) != e23 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f282,plain,
( op2(e23,e23) = e23
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f288,plain,
e10 = op1(op1(e12,e12),e12),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f289,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f290,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f291,plain,
e20 = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f292,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f293,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f294,plain,
h1(e12) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f295,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f296,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f297,plain,
h1(e13) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f298,plain,
h2(e12) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f299,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f300,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f301,plain,
h2(e13) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f302,plain,
h3(e12) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f303,plain,
h3(e10) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f304,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f305,plain,
h3(e13) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f306,plain,
h4(e12) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f307,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f308,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f309,plain,
h4(e13) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f310,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(f311,definition,
( sP2_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f312,definition,
( sP3_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f313,definition,
( sP4_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f314,definition,
( sP5_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f315,definition,
( sP6_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f316,definition,
( sP7_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f317,definition,
( sP8_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f318,definition,
( sP9_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f319,definition,
( sP10_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f320,definition,
( sP11_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f321,definition,
( sP12_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f322,definition,
( sP13_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f323,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)],[f310,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311]) ).
fof(f335,plain,
( h3(e13) != 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)) ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f340,definition,
( sP14_prd
<=> ( ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f341,plain,
( sP0_prd
<=> ( ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f340]) ).
fof(f342,plain,
( ( ( ( op1(e13,op1(e13,e13)) = e13
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e10)) = e10
| op1(e12,e13) != e13
| op1(e13,e12) != e13 )
& ~ sP14_prd )
| sP0_prd )
& ( ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| sP14_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f341]) ).
fof(f343,plain,
( op1(e13,e12) = e13
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f342]) ).
fof(f351,definition,
( sP15_prd
<=> ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f352,plain,
( sP1_prd
<=> ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f264,f351]) ).
fof(f353,plain,
( ( ( ( op2(e23,op2(e23,e23)) = e23
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e20)) = e20
| op2(e22,e23) != e23
| op2(e23,e22) != e23 )
& ~ sP15_prd )
| sP1_prd )
& ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| sP15_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f352]) ).
fof(f354,plain,
( op2(e23,e22) = e23
| sP15_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f368,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)],[f312]) ).
fof(f370,plain,
( h1(e11) != e21
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f374,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)],[f313]) ).
fof(f375,plain,
( h1(e10) != e22
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f380,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)],[f314]) ).
fof(f385,plain,
( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP5_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f386,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)],[f315]) ).
fof(f390,plain,
( h2(e13) != e21
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f392,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)],[f316]) ).
fof(f396,plain,
( h2(e13) != e22
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f397,plain,
( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f398,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)],[f317]) ).
fof(f399,plain,
( h3(e10) != e20
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f404,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)],[f318]) ).
fof(f406,plain,
( h3(e11) != e21
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f410,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)],[f319]) ).
fof(f413,plain,
( h3(e12) != e22
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f422,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)],[f321]) ).
fof(f426,plain,
( h4(e13) != e21
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f428,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)],[f322]) ).
fof(f430,plain,
( h4(e11) != e22
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f433,plain,
( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f428]) ).
fof(f434,definition,
( sP16_prd
<=> ( ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f435,plain,
( sP14_prd
<=> ( ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f340,f434]) ).
fof(f436,plain,
( ( ( ( op1(e13,op1(e13,e13)) = e13
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e10)) = e10
| op1(e11,e13) != e13
| op1(e13,e11) != e13 )
& ~ sP16_prd )
| sP14_prd )
& ( ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f435]) ).
fof(f437,plain,
( op1(e13,e11) = e13
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f442,plain,
( op1(e13,op1(e13,e13)) != e13
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f436]) ).
fof(f445,definition,
( sP17_prd
<=> ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f446,plain,
( sP15_prd
<=> ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f351,f445]) ).
fof(f447,plain,
( ( ( ( op2(e23,op2(e23,e23)) = e23
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e20)) = e20
| op2(e21,e23) != e23
| op2(e23,e21) != e23 )
& ~ sP17_prd )
| sP15_prd )
& ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f446]) ).
fof(f448,plain,
( op2(e23,e21) = e23
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f452,plain,
( op2(e23,op2(e23,e22)) != e22
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f447]) ).
fof(f456,definition,
( sP18_prd
<=> ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f457,plain,
( sP16_prd
<=> ( ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f434,f456]) ).
fof(f458,plain,
( ( ( ( op1(e13,op1(e13,e13)) = e13
| op1(e13,op1(e13,e12)) = e12
| op1(e13,op1(e13,e11)) = e11
| op1(e13,op1(e13,e10)) = e10
| op1(e10,e13) != e13
| op1(e13,e10) != e13 )
& ~ sP18_prd )
| sP16_prd )
& ( ( op1(e13,op1(e13,e13)) != e13
& op1(e13,op1(e13,e12)) != e12
& op1(e13,op1(e13,e11)) != e11
& op1(e13,op1(e13,e10)) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| sP18_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f457]) ).
fof(f459,plain,
( op1(e13,e10) = e13
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f460,plain,
( op1(e10,e13) = e13
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f465,plain,
( ~ sP18_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f467,definition,
( sP19_prd
<=> ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f468,plain,
( sP17_prd
<=> ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f445,f467]) ).
fof(f469,plain,
( ( ( ( op2(e23,op2(e23,e23)) = e23
| op2(e23,op2(e23,e22)) = e22
| op2(e23,op2(e23,e21)) = e21
| op2(e23,op2(e23,e20)) = e20
| op2(e20,e23) != e23
| op2(e23,e20) != e23 )
& ~ sP19_prd )
| sP17_prd )
& ( ( op2(e23,op2(e23,e23)) != e23
& op2(e23,op2(e23,e22)) != e22
& op2(e23,op2(e23,e21)) != e21
& op2(e23,op2(e23,e20)) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| sP19_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f468]) ).
fof(f471,plain,
( op2(e20,e23) = e23
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f469]) ).
fof(f474,plain,
( op2(e23,op2(e23,e22)) != e22
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f469]) ).
fof(f478,definition,
( sP20_prd
<=> ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f479,plain,
( sP18_prd
<=> ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f456,f478]) ).
fof(f480,plain,
( ( ( ( op1(e12,op1(e12,e13)) = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e10)) = e10
| op1(e13,e12) != e12
| op1(e12,e13) != e12 )
& ~ sP20_prd )
| sP18_prd )
& ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| sP20_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f479]) ).
fof(f481,plain,
( op1(e12,e13) = e12
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f480]) ).
fof(f482,plain,
( op1(e13,e12) = e12
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f480]) ).
fof(f487,plain,
( ~ sP20_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f480]) ).
fof(f489,definition,
( sP21_prd
<=> ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f490,plain,
( sP19_prd
<=> ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f467,f489]) ).
fof(f491,plain,
( ( ( ( op2(e22,op2(e22,e23)) = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e20)) = e20
| op2(e23,e22) != e22
| op2(e22,e23) != e22 )
& ~ sP21_prd )
| sP19_prd )
& ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| sP21_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f490]) ).
fof(f493,plain,
( op2(e23,e22) = e22
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f500,definition,
( sP22_prd
<=> ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f501,plain,
( sP20_prd
<=> ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f478,f500]) ).
fof(f502,plain,
( ( ( ( op1(e12,op1(e12,e13)) = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e10)) = e10
| op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ~ sP22_prd )
| sP20_prd )
& ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| sP22_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f501]) ).
fof(f503,plain,
( op1(e12,e12) = e12
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f502]) ).
fof(f509,plain,
( ~ sP22_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f502]) ).
fof(f511,definition,
( sP23_prd
<=> ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f512,plain,
( sP21_prd
<=> ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f489,f511]) ).
fof(f513,plain,
( ( ( ( op2(e22,op2(e22,e23)) = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e20)) = e20
| op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ~ sP23_prd )
| sP21_prd )
& ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| sP23_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f512]) ).
fof(f514,plain,
( op2(e22,e22) = e22
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f522,definition,
( sP24_prd
<=> ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f523,plain,
( sP22_prd
<=> ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f500,f522]) ).
fof(f524,plain,
( ( ( ( op1(e12,op1(e12,e13)) = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e10)) = e10
| op1(e11,e12) != e12
| op1(e12,e11) != e12 )
& ~ sP24_prd )
| sP22_prd )
& ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| sP24_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f523]) ).
fof(f525,plain,
( op1(e12,e11) = e12
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f529,plain,
( op1(e12,op1(e12,e12)) != e12
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f531,plain,
( ~ sP24_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f533,definition,
( sP25_prd
<=> ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f534,plain,
( sP23_prd
<=> ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f511,f533]) ).
fof(f535,plain,
( ( ( ( op2(e22,op2(e22,e23)) = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e20)) = e20
| op2(e21,e22) != e22
| op2(e22,e21) != e22 )
& ~ sP25_prd )
| sP23_prd )
& ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| sP25_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f534]) ).
fof(f536,plain,
( op2(e22,e21) = e22
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f535]) ).
fof(f541,plain,
( op2(e22,op2(e22,e23)) != e23
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f535]) ).
fof(f544,definition,
( sP26_prd
<=> ( ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f545,plain,
( sP24_prd
<=> ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f522,f544]) ).
fof(f546,plain,
( ( ( ( op1(e12,op1(e12,e13)) = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e12,op1(e12,e11)) = e11
| op1(e12,op1(e12,e10)) = e10
| op1(e10,e12) != e12
| op1(e12,e10) != e12 )
& ~ sP26_prd )
| sP24_prd )
& ( ( op1(e12,op1(e12,e13)) != e13
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e10)) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| sP26_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f545]) ).
fof(f548,plain,
( op1(e10,e12) = e12
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f546]) ).
fof(f551,plain,
( op1(e12,op1(e12,e12)) != e12
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f546]) ).
fof(f553,plain,
( ~ sP26_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f546]) ).
fof(f555,definition,
( sP27_prd
<=> ( ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f556,plain,
( sP25_prd
<=> ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f533,f555]) ).
fof(f557,plain,
( ( ( ( op2(e22,op2(e22,e23)) = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e22,op2(e22,e21)) = e21
| op2(e22,op2(e22,e20)) = e20
| op2(e20,e22) != e22
| op2(e22,e20) != e22 )
& ~ sP27_prd )
| sP25_prd )
& ( ( op2(e22,op2(e22,e23)) != e23
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e20)) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| sP27_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f556]) ).
fof(f558,plain,
( op2(e22,e20) = e22
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f557]) ).
fof(f559,plain,
( op2(e20,e22) = e22
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f557]) ).
fof(f561,plain,
( op2(e22,op2(e22,e21)) != e21
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f557]) ).
fof(f564,plain,
( ~ sP27_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f557]) ).
fof(f566,definition,
( sP28_prd
<=> ( ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f567,plain,
( sP26_prd
<=> ( ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f544,f566]) ).
fof(f568,plain,
( ( ( ( op1(e11,op1(e11,e13)) = e13
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e10)) = e10
| op1(e13,e11) != e11
| op1(e11,e13) != e11 )
& ~ sP28_prd )
| sP26_prd )
& ( ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| sP28_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f567]) ).
fof(f569,plain,
( op1(e11,e13) = e11
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f568]) ).
fof(f575,plain,
( ~ sP28_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f568]) ).
fof(f577,definition,
( sP29_prd
<=> ( ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f578,plain,
( sP27_prd
<=> ( ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f555,f577]) ).
fof(f579,plain,
( ( ( ( op2(e21,op2(e21,e23)) = e23
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e20)) = e20
| op2(e23,e21) != e21
| op2(e21,e23) != e21 )
& ~ sP29_prd )
| sP27_prd )
& ( ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| sP29_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f578]) ).
fof(f581,plain,
( op2(e23,e21) = e21
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f579]) ).
fof(f586,plain,
( ~ sP29_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f579]) ).
fof(f588,definition,
( sP30_prd
<=> ( ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f589,plain,
( sP28_prd
<=> ( ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f566,f588]) ).
fof(f590,plain,
( ( ( ( op1(e11,op1(e11,e13)) = e13
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e10)) = e10
| op1(e12,e11) != e11
| op1(e11,e12) != e11 )
& ~ sP30_prd )
| sP28_prd )
& ( ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| sP30_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f589]) ).
fof(f592,plain,
( op1(e12,e11) = e11
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f593,plain,
( op1(e11,op1(e11,e10)) != e10
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f595,plain,
( op1(e11,op1(e11,e12)) != e12
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f596,plain,
( op1(e11,op1(e11,e13)) != e13
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f597,plain,
( ~ sP30_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f599,definition,
( sP31_prd
<=> ( ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f600,plain,
( sP29_prd
<=> ( ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f577,f599]) ).
fof(f601,plain,
( ( ( ( op2(e21,op2(e21,e23)) = e23
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e20)) = e20
| op2(e22,e21) != e21
| op2(e21,e22) != e21 )
& ~ sP31_prd )
| sP29_prd )
& ( ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| sP31_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f600]) ).
fof(f602,plain,
( op2(e21,e22) = e21
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f601]) ).
fof(f605,plain,
( op2(e21,op2(e21,e21)) != e21
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f601]) ).
fof(f607,plain,
( op2(e21,op2(e21,e23)) != e23
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f601]) ).
fof(f608,plain,
( ~ sP31_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f601]) ).
fof(f610,definition,
( sP32_prd
<=> ( ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f611,plain,
( sP30_prd
<=> ( ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f588,f610]) ).
fof(f612,plain,
( ( ( ( op1(e11,op1(e11,e13)) = e13
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e10)) = e10
| op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ~ sP32_prd )
| sP30_prd )
& ( ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP32_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f611]) ).
fof(f613,plain,
( op1(e11,e11) = e11
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f612]) ).
fof(f617,plain,
( op1(e11,op1(e11,e12)) != e12
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f612]) ).
fof(f619,plain,
( ~ sP32_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f612]) ).
fof(f621,definition,
( sP33_prd
<=> ( ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f622,plain,
( sP31_prd
<=> ( ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f599,f621]) ).
fof(f623,plain,
( ( ( ( op2(e21,op2(e21,e23)) = e23
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e20)) = e20
| op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ~ sP33_prd )
| sP31_prd )
& ( ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP33_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f622]) ).
fof(f624,plain,
( op2(e21,e21) = e21
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f628,plain,
( op2(e21,op2(e21,e22)) != e22
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f629,plain,
( op2(e21,op2(e21,e23)) != e23
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f630,plain,
( ~ sP33_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f632,definition,
( sP34_prd
<=> ( ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f633,plain,
( sP32_prd
<=> ( ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f610,f632]) ).
fof(f634,plain,
( ( ( ( op1(e11,op1(e11,e13)) = e13
| op1(e11,op1(e11,e12)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e11,op1(e11,e10)) = e10
| op1(e10,e11) != e11
| op1(e11,e10) != e11 )
& ~ sP34_prd )
| sP32_prd )
& ( ( op1(e11,op1(e11,e13)) != e13
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e10)) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| sP34_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f633]) ).
fof(f635,plain,
( op1(e11,e10) = e11
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f636,plain,
( op1(e10,e11) = e11
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f639,plain,
( op1(e11,op1(e11,e12)) != e12
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f641,plain,
( ~ sP34_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f634]) ).
fof(f643,definition,
( sP35_prd
<=> ( ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f644,plain,
( sP33_prd
<=> ( ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f621,f643]) ).
fof(f645,plain,
( ( ( ( op2(e21,op2(e21,e23)) = e23
| op2(e21,op2(e21,e22)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e21,op2(e21,e20)) = e20
| op2(e20,e21) != e21
| op2(e21,e20) != e21 )
& ~ sP35_prd )
| sP33_prd )
& ( ( op2(e21,op2(e21,e23)) != e23
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e20)) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| sP35_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f644]) ).
fof(f649,plain,
( op2(e21,op2(e21,e21)) != e21
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f645]) ).
fof(f650,plain,
( op2(e21,op2(e21,e22)) != e22
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f645]) ).
fof(f651,plain,
( op2(e21,op2(e21,e23)) != e23
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f645]) ).
fof(f652,plain,
( ~ sP35_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f645]) ).
fof(f654,definition,
( sP36_prd
<=> ( ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f655,plain,
( sP34_prd
<=> ( ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f632,f654]) ).
fof(f656,plain,
( ( ( ( op1(e10,op1(e10,e13)) = e13
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e10)) = e10
| op1(e13,e10) != e10
| op1(e10,e13) != e10 )
& ~ sP36_prd )
| sP34_prd )
& ( ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| sP36_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f655]) ).
fof(f657,plain,
( op1(e10,e13) = e10
| sP36_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f656]) ).
fof(f658,plain,
( op1(e13,e10) = e10
| sP36_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f656]) ).
fof(f663,plain,
( ~ sP36_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f656]) ).
fof(f665,definition,
( sP37_prd
<=> ( ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f666,plain,
( sP35_prd
<=> ( ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f643,f665]) ).
fof(f667,plain,
( ( ( ( op2(e20,op2(e20,e23)) = e23
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e20)) = e20
| op2(e23,e20) != e20
| op2(e20,e23) != e20 )
& ~ sP37_prd )
| sP35_prd )
& ( ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| sP37_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f666]) ).
fof(f668,plain,
( op2(e20,e23) = e20
| sP37_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f667]) ).
fof(f669,plain,
( op2(e23,e20) = e20
| sP37_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f667]) ).
fof(f670,plain,
( op2(e20,op2(e20,e20)) != e20
| sP37_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f667]) ).
fof(f672,plain,
( op2(e20,op2(e20,e22)) != e22
| sP37_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f667]) ).
fof(f674,plain,
( ~ sP37_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f667]) ).
fof(f676,definition,
( sP38_prd
<=> ( ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f677,plain,
( sP36_prd
<=> ( ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f654,f676]) ).
fof(f678,plain,
( ( ( ( op1(e10,op1(e10,e13)) = e13
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e10)) = e10
| op1(e12,e10) != e10
| op1(e10,e12) != e10 )
& ~ sP38_prd )
| sP36_prd )
& ( ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| sP38_prd
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f677]) ).
fof(f679,plain,
( op1(e10,e12) = e10
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f678]) ).
fof(f680,plain,
( op1(e12,e10) = e10
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f678]) ).
fof(f684,plain,
( op1(e10,op1(e10,e13)) != e13
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f678]) ).
fof(f685,plain,
( ~ sP38_prd
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f678]) ).
fof(f687,definition,
( sP39_prd
<=> ( ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f688,plain,
( sP37_prd
<=> ( ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f665,f687]) ).
fof(f689,plain,
( ( ( ( op2(e20,op2(e20,e23)) = e23
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e20)) = e20
| op2(e22,e20) != e20
| op2(e20,e22) != e20 )
& ~ sP39_prd )
| sP37_prd )
& ( ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| sP39_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f688]) ).
fof(f690,plain,
( op2(e20,e22) = e20
| sP39_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f696,plain,
( ~ sP39_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f698,definition,
( sP40_prd
<=> ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f699,plain,
( sP38_prd
<=> ( ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f676,f698]) ).
fof(f700,plain,
( ( ( ( op1(e10,op1(e10,e13)) = e13
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e10)) = e10
| op1(e11,e10) != e10
| op1(e10,e11) != e10 )
& ~ sP40_prd )
| sP38_prd )
& ( ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| sP40_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f699]) ).
fof(f701,plain,
( op1(e10,e11) = e10
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f700]) ).
fof(f702,plain,
( op1(e11,e10) = e10
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f700]) ).
fof(f706,plain,
( op1(e10,op1(e10,e13)) != e13
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f700]) ).
fof(f707,plain,
( ~ sP40_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f700]) ).
fof(f709,definition,
( sP41_prd
<=> ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f710,plain,
( sP39_prd
<=> ( ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f687,f709]) ).
fof(f711,plain,
( ( ( ( op2(e20,op2(e20,e23)) = e23
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e20)) = e20
| op2(e21,e20) != e20
| op2(e20,e21) != e20 )
& ~ sP41_prd )
| sP39_prd )
& ( ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| sP41_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f710]) ).
fof(f712,plain,
( op2(e20,e21) = e20
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f711]) ).
fof(f713,plain,
( op2(e21,e20) = e20
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f711]) ).
fof(f714,plain,
( op2(e20,op2(e20,e20)) != e20
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f711]) ).
fof(f719,plain,
( op2(e20,op2(e20,e23)) = e23
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e20)) = e20
| op2(e21,e20) != e20
| op2(e20,e21) != e20
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f711]) ).
fof(f720,plain,
( ( op1(e10,op1(e10,e13)) = e13
| op1(e10,op1(e10,e12)) = e12
| op1(e10,op1(e10,e11)) = e11
| op1(e10,op1(e10,e10)) = e10
| op1(e10,e10) != e10
| op1(e10,e10) != e10
| sP40_prd )
& ( ( op1(e10,op1(e10,e13)) != e13
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e10)) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f698]) ).
fof(f721,plain,
( op1(e10,e10) = e10
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f723,plain,
( op1(e10,op1(e10,e10)) != e10
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f726,plain,
( op1(e10,op1(e10,e13)) != e13
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f728,plain,
( ( op2(e20,op2(e20,e23)) = e23
| op2(e20,op2(e20,e22)) = e22
| op2(e20,op2(e20,e21)) = e21
| op2(e20,op2(e20,e20)) = e20
| op2(e20,e20) != e20
| op2(e20,e20) != e20
| sP41_prd )
& ( ( op2(e20,op2(e20,e23)) != e23
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e20)) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f709]) ).
fof(f729,plain,
( op2(e20,e20) = e20
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f728]) ).
fof(f731,plain,
( op2(e20,op2(e20,e20)) != e20
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f728]) ).
fof(f733,plain,
( op2(e20,op2(e20,e22)) != e22
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f728]) ).
fof(f736,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f740,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f746,plain,
( ~ sQ3_spl
| op1(e10,e10) = e13 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f736,f739,f742,f745]) ).
fof(f749,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f759,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21,f749,f752,f755,f758]) ).
fof(f762,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f775,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f23,f775,f778,f781,f784]) ).
fof(f788,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f797,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f24,f788,f791,f794,f797]) ).
fof(f801,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f802,plain,
( ~ sQ20_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ22_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f814,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f815,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f26,f814,f817,f820,f823]) ).
fof(f827,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f840,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f844,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f853,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f856,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f857,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f860,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f29,f853,f856,f859,f862]) ).
fof(f866,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( ~ sQ40_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f873,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f876,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f875]) ).
fof(f879,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f883,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f889,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f31,f879,f882,f885,f888]) ).
fof(f892,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f893,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f896,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f899,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f902,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f32,f892,f895,f898,f901]) ).
fof(f905,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f908,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f909,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f918,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f921,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f922,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f921]) ).
fof(f924,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f925,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f34,f918,f921,f924,f927]) ).
fof(f931,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f932,plain,
( ~ sQ60_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( ~ sQ61_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f944,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f736,f749,f762,f775]) ).
fof(f945,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f736,f788,f840,f892]) ).
fof(f946,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f38,f739,f752,f765,f778]) ).
fof(f948,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f742,f755,f768,f781]) ).
fof(f952,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f44,f788,f801,f814,f827]) ).
fof(f954,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f791,f804,f817,f830]) ).
fof(f956,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f48,f794,f807,f820,f833]) ).
fof(f958,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f50,f797,f810,f823,f836]) ).
fof(f959,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f758,f810,f862,f914]) ).
fof(f960,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f52,f840,f853,f866,f879]) ).
fof(f962,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f54,f843,f856,f869,f882]) ).
fof(f963,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f55,f765,f817,f869,f921]) ).
fof(f964,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f56,f846,f859,f872,f885]) ).
fof(f965,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f768,f820,f872,f924]) ).
fof(f967,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f771,f823,f875,f927]) ).
fof(f969,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f61,f775,f827,f879,f931]) ).
fof(f971,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f63,f778,f830,f882,f934]) ).
fof(f972,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f64,f898,f911,f924,f937]) ).
fof(f973,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f65,f781,f833,f885,f937]) ).
fof(f974,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f66,f901,f914,f927,f940]) ).
fof(f975,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f784,f836,f888,f940]) ).
fof(f976,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f978,plain,
( sQ64_spl
| op2(e20,e20) != e20 ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f980,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f983,plain,
( ~ sQ66_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f982]) ).
fof(f985,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f986,plain,
( ~ sQ67_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f985]) ).
fof(f988,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f68,f976,f979,f982,f985]) ).
fof(f989,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f990,plain,
( ~ sQ68_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f993,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f996,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f999,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f998]) ).
fof(f1002,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1003,plain,
( ~ sQ72_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1006,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1009,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f1008]) ).
fof(f1011,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f70,f1002,f1005,f1008,f1011]) ).
fof(f1015,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1022,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1024,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1025,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1028,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1032,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1034,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1037,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1038,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f1037]) ).
fof(f1040,plain,
( sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f72,f1028,f1031,f1034,f1037]) ).
fof(f1041,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1042,plain,
( ~ sQ84_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1044,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1047,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1048,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1050,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1051,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f1050]) ).
fof(f1054,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1055,plain,
( ~ sQ88_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1058,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f1057]) ).
fof(f1060,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1061,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( ~ sQ91_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1066,plain,
( sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f74,f1054,f1057,f1060,f1063]) ).
fof(f1067,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1068,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1071,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1074,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1076,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1080,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1081,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1084,plain,
( ~ sQ97_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1086,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1087,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1089,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1090,plain,
( ~ sQ99_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f1089]) ).
fof(f1093,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1094,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1096,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1097,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f1096]) ).
fof(f1099,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1102,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1106,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1107,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f1106]) ).
fof(f1109,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1110,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f1109]) ).
fof(f1112,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1113,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f1112]) ).
fof(f1115,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1116,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f1115]) ).
fof(f1119,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1120,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1122,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1123,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f1122]) ).
fof(f1125,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1126,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f1125]) ).
fof(f1128,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1129,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f1128]) ).
fof(f1131,plain,
( sQ111_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f79,f1119,f1122,f1125,f1128]) ).
fof(f1132,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1136,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1138,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1139,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f1138]) ).
fof(f1141,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1142,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1145,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1149,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1154,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1157,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f81,f1145,f1148,f1151,f1154]) ).
fof(f1158,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1161,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1162,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1165,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1167,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1168,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1171,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1174,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1175,plain,
( ~ sQ125_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f1174]) ).
fof(f1177,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1178,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f1177]) ).
fof(f1180,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1181,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f1180]) ).
fof(f1184,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f976,f989,f1002,f1015]) ).
fof(f1188,plain,
( sQ78_spl
| sQ74_spl
| sQ70_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f88,f982,f995,f1008,f1021]) ).
fof(f1190,plain,
( sQ79_spl
| sQ75_spl
| sQ71_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f90,f985,f998,f1011,f1024]) ).
fof(f1192,plain,
( sQ92_spl
| sQ88_spl
| sQ84_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f92,f1028,f1041,f1054,f1067]) ).
fof(f1193,plain,
( sQ116_spl
| sQ100_spl
| sQ84_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f93,f989,f1041,f1093,f1145]) ).
fof(f1195,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f95,f992,f1044,f1096,f1148]) ).
fof(f1198,plain,
( sQ95_spl
| sQ91_spl
| sQ87_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f98,f1037,f1050,f1063,f1076]) ).
fof(f1200,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f1080,f1093,f1106,f1119]) ).
fof(f1201,plain,
( sQ120_spl
| sQ104_spl
| sQ88_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f101,f1002,f1054,f1106,f1158]) ).
fof(f1202,plain,
( sQ109_spl
| sQ105_spl
| sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f102,f1083,f1096,f1109,f1122]) ).
fof(f1203,plain,
( sQ121_spl
| sQ105_spl
| sQ89_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f103,f1005,f1057,f1109,f1161]) ).
fof(f1204,plain,
( sQ110_spl
| sQ106_spl
| sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f104,f1086,f1099,f1112,f1125]) ).
fof(f1207,plain,
( sQ123_spl
| sQ107_spl
| sQ91_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f107,f1011,f1063,f1115,f1167]) ).
fof(f1209,plain,
( sQ124_spl
| sQ108_spl
| sQ92_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f109,f1015,f1067,f1119,f1171]) ).
fof(f1210,plain,
( sQ125_spl
| sQ121_spl
| sQ117_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f110,f1135,f1148,f1161,f1174]) ).
fof(f1212,plain,
( sQ126_spl
| sQ122_spl
| sQ118_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f112,f1138,f1151,f1164,f1177]) ).
fof(f1213,plain,
( sQ126_spl
| sQ110_spl
| sQ94_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f113,f1021,f1073,f1125,f1177]) ).
fof(f1214,plain,
( sQ127_spl
| sQ123_spl
| sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f114,f1141,f1154,f1167,f1180]) ).
fof(f1215,plain,
( sQ127_spl
| sQ111_spl
| sQ95_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f115,f1024,f1076,f1128,f1180]) ).
fof(f1218,plain,
( sQ62_spl
| sQ42_spl
| sQ22_spl
| sQ2_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f244,f762,f742,f807,f872,f937]) ).
fof(f1222,plain,
( sQ62_spl
| sQ42_spl
| sQ22_spl
| sQ2_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f248,f817,f742,f807,f872,f937]) ).
fof(f1224,plain,
( sQ60_spl
| sQ40_spl
| sQ20_spl
| sQ0_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f250,f846,f736,f801,f866,f931]) ).
fof(f1228,plain,
( sQ60_spl
| sQ40_spl
| sQ20_spl
| sQ0_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f254,f901,f736,f801,f866,f931]) ).
fof(f1232,definition,
( sQ128_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1235,plain,
( sQ63_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f258,f1232,f940]) ).
fof(f1245,definition,
( sQ131_spl
<=> op1(e13,op1(e13,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
( ~ sQ131_spl
| op1(e13,op1(e13,e12)) = e12 ),
inference(component_clause,[status(thm)],[f1245]) ).
fof(f1247,plain,
( sQ131_spl
| op1(e13,op1(e13,e12)) != e12 ),
inference(component_clause,[status(thm)],[f1245]) ).
fof(f1249,definition,
( sQ132_spl
<=> op1(e13,op1(e13,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( ~ sQ132_spl
| op1(e13,op1(e13,e13)) = e13 ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1251,plain,
( sQ132_spl
| op1(e13,op1(e13,e13)) != e13 ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1259,plain,
( sQ126_spl
| sQ106_spl
| sQ86_spl
| sQ66_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f272,f1057,f982,f1047,f1112,f1177]) ).
fof(f1261,plain,
( sQ124_spl
| sQ104_spl
| sQ84_spl
| sQ64_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f274,f1086,f976,f1041,f1106,f1171]) ).
fof(f1265,plain,
( sQ124_spl
| sQ104_spl
| sQ84_spl
| sQ64_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f278,f1141,f976,f1041,f1106,f1171]) ).
fof(f1269,definition,
( sQ133_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1272,plain,
( sQ127_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f282,f1269,f1180]) ).
fof(f1278,definition,
( sQ135_spl
<=> op2(e23,op2(e23,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1279,plain,
( ~ sQ135_spl
| op2(e23,op2(e23,e21)) = e21 ),
inference(component_clause,[status(thm)],[f1278]) ).
fof(f1280,plain,
( sQ135_spl
| op2(e23,op2(e23,e21)) != e21 ),
inference(component_clause,[status(thm)],[f1278]) ).
fof(f1282,definition,
( sQ136_spl
<=> op2(e23,op2(e23,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1283,plain,
( ~ sQ136_spl
| op2(e23,op2(e23,e22)) = e22 ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1284,plain,
( sQ136_spl
| op2(e23,op2(e23,e22)) != e22 ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1286,definition,
( sQ137_spl
<=> op2(e23,op2(e23,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1288,plain,
( sQ137_spl
| op2(e23,op2(e23,e23)) != e23 ),
inference(component_clause,[status(thm)],[f1286]) ).
fof(f1293,definition,
( sQ139_spl
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1295,plain,
( sQ139_spl
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1296,definition,
( sQ140_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1298,plain,
( sQ140_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f1296]) ).
fof(f1308,definition,
( sQ144_spl
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1310,plain,
( sQ144_spl
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12)) ),
inference(component_clause,[status(thm)],[f1308]) ).
fof(f1314,definition,
( sQ146_spl
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1316,plain,
( sQ146_spl
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1320,definition,
( sQ148_spl
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1322,plain,
( sQ148_spl
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f1320]) ).
fof(f1323,definition,
( sQ149_spl
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1325,plain,
( sQ149_spl
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f1323]) ).
fof(f1326,definition,
( sQ150_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1328,plain,
( sQ150_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f1326]) ).
fof(f1332,definition,
( sQ152_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
( sQ152_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f1332]) ).
fof(f1335,definition,
( sQ153_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
( sQ153_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1341,definition,
( sQ155_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1344,definition,
( sQ156_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1359,definition,
( sQ160_spl
<=> h1(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1361,plain,
( sQ160_spl
| h1(e13) != e23 ),
inference(component_clause,[status(thm)],[f1359]) ).
fof(f1366,definition,
( sQ162_spl
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1368,plain,
( sQ162_spl
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f1366]) ).
fof(f1369,definition,
( sQ163_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1371,plain,
( sQ163_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f1369]) ).
fof(f1372,definition,
( sQ164_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1374,plain,
( sQ164_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1372]) ).
fof(f1381,definition,
( sQ167_spl
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
( ~ sQ167_spl
| h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f1381]) ).
fof(f1383,plain,
( sQ167_spl
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f1381]) ).
fof(f1384,definition,
( sQ168_spl
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1386,plain,
( sQ168_spl
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f1384]) ).
fof(f1387,definition,
( sQ169_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1389,plain,
( sQ169_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1387]) ).
fof(f1390,definition,
( sQ170_spl
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1392,plain,
( sQ170_spl
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1393,definition,
( sQ171_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1394,plain,
( ~ sQ171_spl
| h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1393]) ).
fof(f1395,plain,
( sQ171_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1393]) ).
fof(f1396,definition,
( sQ172_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1398,plain,
( sQ172_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,definition,
( sQ173_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1401,plain,
( sQ173_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1405,definition,
( sQ175_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1406,plain,
( ~ sQ175_spl
| h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1407,plain,
( sQ175_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1408,definition,
( sQ176_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1410,plain,
( sQ176_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1408]) ).
fof(f1411,definition,
( sQ177_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1414,definition,
( sQ178_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1417,definition,
( sQ179_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1436,definition,
( sQ184_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( sQ184_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1436]) ).
fof(f1439,definition,
( sQ185_spl
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1441,plain,
( sQ185_spl
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11)) ),
inference(component_clause,[status(thm)],[f1439]) ).
fof(f1442,definition,
( sQ186_spl
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1444,plain,
( sQ186_spl
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ),
inference(component_clause,[status(thm)],[f1442]) ).
fof(f1445,definition,
( sQ187_spl
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
( sQ187_spl
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1445]) ).
fof(f1448,definition,
( sQ188_spl
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1450,plain,
( sQ188_spl
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f1448]) ).
fof(f1451,definition,
( sQ189_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1453,plain,
( sQ189_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f1451]) ).
fof(f1454,definition,
( sQ190_spl
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1456,plain,
( sQ190_spl
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f1454]) ).
fof(f1457,definition,
( sQ191_spl
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1459,plain,
( sQ191_spl
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(component_clause,[status(thm)],[f1457]) ).
fof(f1460,definition,
( sQ192_spl
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1462,plain,
( sQ192_spl
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1463,definition,
( sQ193_spl
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1465,plain,
( sQ193_spl
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11)) ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1466,definition,
( sQ194_spl
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( sQ194_spl
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1469,definition,
( sQ195_spl
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
( sQ195_spl
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(component_clause,[status(thm)],[f1469]) ).
fof(f1472,definition,
( sQ196_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1474,plain,
( sQ196_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,definition,
( sQ197_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1477,plain,
( sQ197_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1478,definition,
( sQ198_spl
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1480,plain,
( sQ198_spl
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f1478]) ).
fof(f1481,definition,
( sQ199_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1483,plain,
( sQ199_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1481]) ).
fof(f1484,definition,
( sQ200_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1487,definition,
( sQ201_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1490,definition,
( sQ202_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1505,definition,
( sQ206_spl
<=> h3(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1506,plain,
( ~ sQ206_spl
| h3(e13) = e23 ),
inference(component_clause,[status(thm)],[f1505]) ).
fof(f1507,plain,
( sQ206_spl
| h3(e13) != e23 ),
inference(component_clause,[status(thm)],[f1505]) ).
fof(f1508,plain,
( ~ sQ206_spl
| sQ202_spl
| sQ201_spl
| sQ200_spl
| ~ sQ199_spl
| ~ sQ198_spl
| ~ sQ197_spl
| ~ sQ196_spl
| ~ sQ195_spl
| ~ sQ194_spl
| ~ sQ193_spl
| ~ sQ192_spl
| ~ sQ191_spl
| ~ sQ190_spl
| ~ sQ189_spl
| ~ sQ188_spl
| ~ sQ187_spl
| ~ sQ186_spl
| ~ sQ185_spl
| ~ sQ184_spl ),
inference(split_clause,[status(thm)],[f335,f1436,f1439,f1442,f1445,f1448,f1451,f1454,f1457,f1460,f1463,f1466,f1469,f1472,f1475,f1478,f1481,f1484,f1487,f1490,f1505]) ).
fof(f1512,definition,
( sQ208_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1514,plain,
( sQ208_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f1512]) ).
fof(f1515,definition,
( sQ209_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1517,plain,
( sQ209_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1515]) ).
fof(f1527,definition,
( sQ213_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1529,plain,
( sQ213_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1527]) ).
fof(f1533,definition,
( sQ215_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1535,plain,
( sQ215_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1533]) ).
fof(f1539,definition,
( sQ217_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
( ~ sQ217_spl
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1541,plain,
( sQ217_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1542,definition,
( sQ218_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1544,plain,
( sQ218_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f1542]) ).
fof(f1545,definition,
( sQ219_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
( sQ219_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f1545]) ).
fof(f1551,definition,
( sQ221_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ221_spl
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1553,plain,
( sQ221_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1554,definition,
( sQ222_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1555,plain,
( ~ sQ222_spl
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1554]) ).
fof(f1556,plain,
( sQ222_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1554]) ).
fof(f1560,definition,
( sQ224_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1563,definition,
( sQ225_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1566,definition,
( sQ226_spl
<=> h4(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1568,plain,
( sQ226_spl
| h4(e10) != e23 ),
inference(component_clause,[status(thm)],[f1566]) ).
fof(f1574,definition,
( sQ228_spl
<=> h4(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1575,plain,
( ~ sQ228_spl
| h4(e12) = e23 ),
inference(component_clause,[status(thm)],[f1574]) ).
fof(f1576,plain,
( sQ228_spl
| h4(e12) != e23 ),
inference(component_clause,[status(thm)],[f1574]) ).
fof(f1582,definition,
( sQ230_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1585,plain,
( sQ59_spl
| sQ230_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f343,f1232,f1582,f927]) ).
fof(f1593,definition,
( sQ231_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1596,plain,
( sQ123_spl
| sQ231_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f354,f1269,f1593,f1167]) ).
fof(f1616,definition,
( sQ235_spl
<=> h1(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1617,plain,
( ~ sQ235_spl
| h1(e13) = e20 ),
inference(component_clause,[status(thm)],[f1616]) ).
fof(f1621,definition,
( sQ236_spl
<=> h1(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1622,plain,
( ~ sQ236_spl
| h1(e10) = e21 ),
inference(component_clause,[status(thm)],[f1621]) ).
fof(f1625,definition,
( sQ237_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1626,plain,
( ~ sQ237_spl
| h1(e11) = e21 ),
inference(component_clause,[status(thm)],[f1625]) ).
fof(f1627,plain,
( sQ237_spl
| h1(e11) != e21 ),
inference(component_clause,[status(thm)],[f1625]) ).
fof(f1628,plain,
( ~ sQ237_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f370,f1341,f1625]) ).
fof(f1629,definition,
( sQ238_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1630,plain,
( ~ sQ238_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f1629]) ).
fof(f1633,definition,
( sQ239_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1638,definition,
( sQ240_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1639,plain,
( ~ sQ240_spl
| h1(e10) = e22 ),
inference(component_clause,[status(thm)],[f1638]) ).
fof(f1640,plain,
( sQ240_spl
| h1(e10) != e22 ),
inference(component_clause,[status(thm)],[f1638]) ).
fof(f1641,plain,
( ~ sQ240_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f375,f1344,f1638]) ).
fof(f1642,definition,
( sQ241_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1643,plain,
( ~ sQ241_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f1642]) ).
fof(f1646,definition,
( sQ242_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1647,plain,
( ~ sQ242_spl
| h1(e12) = e22 ),
inference(component_clause,[status(thm)],[f1646]) ).
fof(f1650,definition,
( sQ243_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1655,definition,
( sQ244_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1656,plain,
( ~ sQ244_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f1655]) ).
fof(f1659,definition,
( sQ245_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1660,plain,
( ~ sQ245_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f1659]) ).
fof(f1663,definition,
( sQ246_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1664,plain,
( ~ sQ246_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f1663]) ).
fof(f1667,definition,
( sQ247_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1671,plain,
( sQ247_spl
| sQ246_spl
| sQ245_spl
| sQ244_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f385,f1411,f1655,f1659,f1663,f1667]) ).
fof(f1672,definition,
( sQ248_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1673,plain,
( ~ sQ248_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f1672]) ).
fof(f1674,plain,
( sQ248_spl
| h2(e10) != e21 ),
inference(component_clause,[status(thm)],[f1672]) ).
fof(f1676,definition,
( sQ249_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1677,plain,
( ~ sQ249_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f1676]) ).
fof(f1678,plain,
( sQ249_spl
| h2(e11) != e21 ),
inference(component_clause,[status(thm)],[f1676]) ).
fof(f1684,definition,
( sQ251_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1685,plain,
( ~ sQ251_spl
| h2(e13) = e21 ),
inference(component_clause,[status(thm)],[f1684]) ).
fof(f1686,plain,
( sQ251_spl
| h2(e13) != e21 ),
inference(component_clause,[status(thm)],[f1684]) ).
fof(f1687,plain,
( ~ sQ251_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f390,f1414,f1684]) ).
fof(f1689,definition,
( sQ252_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1690,plain,
( ~ sQ252_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f1689]) ).
fof(f1693,definition,
( sQ253_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1694,plain,
( ~ sQ253_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f1693]) ).
fof(f1697,definition,
( sQ254_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1698,plain,
( ~ sQ254_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f1697]) ).
fof(f1701,definition,
( sQ255_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1702,plain,
( ~ sQ255_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f1701]) ).
fof(f1704,plain,
( ~ sQ255_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f396,f1417,f1701]) ).
fof(f1705,plain,
( sQ255_spl
| sQ254_spl
| sQ253_spl
| sQ252_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f397,f1417,f1689,f1693,f1697,f1701]) ).
fof(f1706,definition,
( sQ256_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1708,plain,
( sQ256_spl
| h3(e10) != e20 ),
inference(component_clause,[status(thm)],[f1706]) ).
fof(f1709,plain,
( ~ sQ256_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f399,f1484,f1706]) ).
fof(f1710,definition,
( sQ257_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1711,plain,
( ~ sQ257_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f1710]) ).
fof(f1714,definition,
( sQ258_spl
<=> h3(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1715,plain,
( ~ sQ258_spl
| h3(e12) = e20 ),
inference(component_clause,[status(thm)],[f1714]) ).
fof(f1718,definition,
( sQ259_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1719,plain,
( ~ sQ259_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f1718]) ).
fof(f1723,definition,
( sQ260_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1724,plain,
( ~ sQ260_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f1723]) ).
fof(f1727,definition,
( sQ261_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1729,plain,
( sQ261_spl
| h3(e11) != e21 ),
inference(component_clause,[status(thm)],[f1727]) ).
fof(f1730,plain,
( ~ sQ261_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f406,f1487,f1727]) ).
fof(f1731,definition,
( sQ262_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1732,plain,
( ~ sQ262_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f1731]) ).
fof(f1735,definition,
( sQ263_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1736,plain,
( ~ sQ263_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f1735]) ).
fof(f1740,definition,
( sQ264_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1741,plain,
( ~ sQ264_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f1740]) ).
fof(f1744,definition,
( sQ265_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1745,plain,
( ~ sQ265_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f1744]) ).
fof(f1748,definition,
( sQ266_spl
<=> h3(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1750,plain,
( sQ266_spl
| h3(e12) != e22 ),
inference(component_clause,[status(thm)],[f1748]) ).
fof(f1751,plain,
( ~ sQ266_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f413,f1490,f1748]) ).
fof(f1752,definition,
( sQ267_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1753,plain,
( ~ sQ267_spl
| h3(e13) = e22 ),
inference(component_clause,[status(thm)],[f1752]) ).
fof(f1765,definition,
( sQ270_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f1766,plain,
( ~ sQ270_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f1765]) ).
fof(f1769,definition,
( sQ271_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1770,plain,
( ~ sQ271_spl
| h4(e13) = e20 ),
inference(component_clause,[status(thm)],[f1769]) ).
fof(f1774,definition,
( sQ272_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1778,definition,
( sQ273_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1779,plain,
( ~ sQ273_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f1778]) ).
fof(f1780,plain,
( sQ273_spl
| h4(e11) != e21 ),
inference(component_clause,[status(thm)],[f1778]) ).
fof(f1782,definition,
( sQ274_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1783,plain,
( ~ sQ274_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f1782]) ).
fof(f1786,definition,
( sQ275_spl
<=> h4(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f1787,plain,
( ~ sQ275_spl
| h4(e13) = e21 ),
inference(component_clause,[status(thm)],[f1786]) ).
fof(f1788,plain,
( sQ275_spl
| h4(e13) != e21 ),
inference(component_clause,[status(thm)],[f1786]) ).
fof(f1789,plain,
( ~ sQ275_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f426,f1560,f1786]) ).
fof(f1791,definition,
( sQ276_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f1792,plain,
( ~ sQ276_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f1791]) ).
fof(f1795,definition,
( sQ277_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f1796,plain,
( ~ sQ277_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f1795]) ).
fof(f1797,plain,
( sQ277_spl
| h4(e11) != e22 ),
inference(component_clause,[status(thm)],[f1795]) ).
fof(f1798,plain,
( ~ sQ277_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f430,f1563,f1795]) ).
fof(f1799,definition,
( sQ278_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f1800,plain,
( ~ sQ278_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f1799]) ).
fof(f1803,definition,
( sQ279_spl
<=> h4(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f1804,plain,
( ~ sQ279_spl
| h4(e13) = e22 ),
inference(component_clause,[status(thm)],[f1803]) ).
fof(f1807,plain,
( sQ279_spl
| sQ278_spl
| sQ277_spl
| sQ276_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f433,f1563,f1791,f1795,f1799,f1803]) ).
fof(f1808,definition,
( sQ280_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f1811,plain,
( sQ55_spl
| sQ280_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f437,f1582,f1808,f914]) ).
fof(f1816,plain,
( ~ sQ132_spl
| sQ280_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f442,f1582,f1808,f1249]) ).
fof(f1819,definition,
( sQ281_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f1822,plain,
( sQ119_spl
| sQ281_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f448,f1593,f1819,f1154]) ).
fof(f1826,plain,
( ~ sQ136_spl
| sQ281_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f452,f1593,f1819,f1282]) ).
fof(f1830,definition,
( sQ282_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f1833,plain,
( sQ51_spl
| sQ282_spl
| ~ sQ280_spl ),
inference(split_clause,[status(thm)],[f459,f1808,f1830,f901]) ).
fof(f1834,plain,
( sQ15_spl
| sQ282_spl
| ~ sQ280_spl ),
inference(split_clause,[status(thm)],[f460,f1808,f1830,f784]) ).
fof(f1839,plain,
( ~ sQ282_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f465,f1808,f1830]) ).
fof(f1841,definition,
( sQ283_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f1845,plain,
( sQ79_spl
| sQ283_spl
| ~ sQ281_spl ),
inference(split_clause,[status(thm)],[f471,f1819,f1841,f1024]) ).
fof(f1848,plain,
( ~ sQ136_spl
| sQ283_spl
| ~ sQ281_spl ),
inference(split_clause,[status(thm)],[f474,f1819,f1841,f1282]) ).
fof(f1852,definition,
( sQ284_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f1855,plain,
( sQ46_spl
| sQ284_spl
| ~ sQ282_spl ),
inference(split_clause,[status(thm)],[f481,f1830,f1852,f885]) ).
fof(f1856,plain,
( sQ58_spl
| sQ284_spl
| ~ sQ282_spl ),
inference(split_clause,[status(thm)],[f482,f1830,f1852,f924]) ).
fof(f1861,definition,
( sQ286_spl
<=> op1(e12,op1(e12,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f1862,plain,
( ~ sQ286_spl
| op1(e12,op1(e12,e11)) = e11 ),
inference(component_clause,[status(thm)],[f1861]) ).
fof(f1863,plain,
( sQ286_spl
| op1(e12,op1(e12,e11)) != e11 ),
inference(component_clause,[status(thm)],[f1861]) ).
fof(f1865,definition,
( sQ287_spl
<=> op1(e12,op1(e12,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f1866,plain,
( ~ sQ287_spl
| op1(e12,op1(e12,e12)) = e12 ),
inference(component_clause,[status(thm)],[f1865]) ).
fof(f1867,plain,
( sQ287_spl
| op1(e12,op1(e12,e12)) != e12 ),
inference(component_clause,[status(thm)],[f1865]) ).
fof(f1869,definition,
( sQ288_spl
<=> op1(e12,op1(e12,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f1871,plain,
( sQ288_spl
| op1(e12,op1(e12,e13)) != e13 ),
inference(component_clause,[status(thm)],[f1869]) ).
fof(f1873,plain,
( ~ sQ284_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f487,f1830,f1852]) ).
fof(f1875,definition,
( sQ289_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f1879,plain,
( sQ122_spl
| sQ289_spl
| ~ sQ283_spl ),
inference(split_clause,[status(thm)],[f493,f1841,f1875,f1164]) ).
fof(f1880,definition,
( sQ290_spl
<=> op2(e22,op2(e22,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f1881,plain,
( ~ sQ290_spl
| op2(e22,op2(e22,e20)) = e20 ),
inference(component_clause,[status(thm)],[f1880]) ).
fof(f1884,definition,
( sQ291_spl
<=> op2(e22,op2(e22,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f1885,plain,
( ~ sQ291_spl
| op2(e22,op2(e22,e21)) = e21 ),
inference(component_clause,[status(thm)],[f1884]) ).
fof(f1886,plain,
( sQ291_spl
| op2(e22,op2(e22,e21)) != e21 ),
inference(component_clause,[status(thm)],[f1884]) ).
fof(f1888,definition,
( sQ292_spl
<=> op2(e22,op2(e22,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f1889,plain,
( ~ sQ292_spl
| op2(e22,op2(e22,e22)) = e22 ),
inference(component_clause,[status(thm)],[f1888]) ).
fof(f1890,plain,
( sQ292_spl
| op2(e22,op2(e22,e22)) != e22 ),
inference(component_clause,[status(thm)],[f1888]) ).
fof(f1892,definition,
( sQ293_spl
<=> op2(e22,op2(e22,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f1893,plain,
( ~ sQ293_spl
| op2(e22,op2(e22,e23)) = e23 ),
inference(component_clause,[status(thm)],[f1892]) ).
fof(f1894,plain,
( sQ293_spl
| op2(e22,op2(e22,e23)) != e23 ),
inference(component_clause,[status(thm)],[f1892]) ).
fof(f1898,definition,
( sQ294_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f1901,plain,
( sQ42_spl
| sQ294_spl
| ~ sQ284_spl ),
inference(split_clause,[status(thm)],[f503,f1852,f1898,f872]) ).
fof(f1907,plain,
( ~ sQ294_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f509,f1852,f1898]) ).
fof(f1909,definition,
( sQ295_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f1912,plain,
( sQ106_spl
| sQ295_spl
| ~ sQ289_spl ),
inference(split_clause,[status(thm)],[f514,f1875,f1909,f1112]) ).
fof(f1920,definition,
( sQ296_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f1923,plain,
( sQ38_spl
| sQ296_spl
| ~ sQ294_spl ),
inference(split_clause,[status(thm)],[f525,f1898,f1920,f859]) ).
fof(f1927,plain,
( ~ sQ287_spl
| sQ296_spl
| ~ sQ294_spl ),
inference(split_clause,[status(thm)],[f529,f1898,f1920,f1865]) ).
fof(f1929,plain,
( ~ sQ296_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f531,f1898,f1920]) ).
fof(f1931,definition,
( sQ297_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f1934,plain,
( sQ102_spl
| sQ297_spl
| ~ sQ295_spl ),
inference(split_clause,[status(thm)],[f536,f1909,f1931,f1099]) ).
fof(f1939,plain,
( ~ sQ293_spl
| sQ297_spl
| ~ sQ295_spl ),
inference(split_clause,[status(thm)],[f541,f1909,f1931,f1892]) ).
fof(f1942,definition,
( sQ298_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f1946,plain,
( sQ10_spl
| sQ298_spl
| ~ sQ296_spl ),
inference(split_clause,[status(thm)],[f548,f1920,f1942,f768]) ).
fof(f1949,plain,
( ~ sQ287_spl
| sQ298_spl
| ~ sQ296_spl ),
inference(split_clause,[status(thm)],[f551,f1920,f1942,f1865]) ).
fof(f1951,plain,
( ~ sQ298_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f553,f1920,f1942]) ).
fof(f1953,definition,
( sQ299_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f1956,plain,
( sQ98_spl
| sQ299_spl
| ~ sQ297_spl ),
inference(split_clause,[status(thm)],[f558,f1931,f1953,f1086]) ).
fof(f1957,plain,
( sQ74_spl
| sQ299_spl
| ~ sQ297_spl ),
inference(split_clause,[status(thm)],[f559,f1931,f1953,f1008]) ).
fof(f1959,plain,
( ~ sQ291_spl
| sQ299_spl
| ~ sQ297_spl ),
inference(split_clause,[status(thm)],[f561,f1931,f1953,f1884]) ).
fof(f1962,plain,
( ~ sQ299_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f564,f1931,f1953]) ).
fof(f1964,definition,
( sQ300_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f1967,plain,
( sQ29_spl
| sQ300_spl
| ~ sQ298_spl ),
inference(split_clause,[status(thm)],[f569,f1942,f1964,f830]) ).
fof(f1969,definition,
( sQ301_spl
<=> op1(e11,op1(e11,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f1971,plain,
( sQ301_spl
| op1(e11,op1(e11,e10)) != e10 ),
inference(component_clause,[status(thm)],[f1969]) ).
fof(f1977,definition,
( sQ303_spl
<=> op1(e11,op1(e11,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f1978,plain,
( ~ sQ303_spl
| op1(e11,op1(e11,e12)) = e12 ),
inference(component_clause,[status(thm)],[f1977]) ).
fof(f1979,plain,
( sQ303_spl
| op1(e11,op1(e11,e12)) != e12 ),
inference(component_clause,[status(thm)],[f1977]) ).
fof(f1981,definition,
( sQ304_spl
<=> op1(e11,op1(e11,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f1983,plain,
( sQ304_spl
| op1(e11,op1(e11,e13)) != e13 ),
inference(component_clause,[status(thm)],[f1981]) ).
fof(f1985,plain,
( ~ sQ300_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f575,f1942,f1964]) ).
fof(f1987,definition,
( sQ305_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f1991,plain,
( sQ117_spl
| sQ305_spl
| ~ sQ299_spl ),
inference(split_clause,[status(thm)],[f581,f1953,f1987,f1148]) ).
fof(f1996,definition,
( sQ307_spl
<=> op2(e21,op2(e21,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f1998,plain,
( sQ307_spl
| op2(e21,op2(e21,e21)) != e21 ),
inference(component_clause,[status(thm)],[f1996]) ).
fof(f2000,definition,
( sQ308_spl
<=> op2(e21,op2(e21,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2002,plain,
( sQ308_spl
| op2(e21,op2(e21,e22)) != e22 ),
inference(component_clause,[status(thm)],[f2000]) ).
fof(f2004,definition,
( sQ309_spl
<=> op2(e21,op2(e21,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2006,plain,
( sQ309_spl
| op2(e21,op2(e21,e23)) != e23 ),
inference(component_clause,[status(thm)],[f2004]) ).
fof(f2008,plain,
( ~ sQ305_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f586,f1953,f1987]) ).
fof(f2010,definition,
( sQ310_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f2014,plain,
( sQ37_spl
| sQ310_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f592,f1964,f2010,f856]) ).
fof(f2015,plain,
( ~ sQ301_spl
| sQ310_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f593,f1964,f2010,f1969]) ).
fof(f2017,plain,
( ~ sQ303_spl
| sQ310_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f595,f1964,f2010,f1977]) ).
fof(f2018,plain,
( ~ sQ304_spl
| sQ310_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f596,f1964,f2010,f1981]) ).
fof(f2019,plain,
( ~ sQ310_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f597,f1964,f2010]) ).
fof(f2021,definition,
( sQ311_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f2024,plain,
( sQ89_spl
| sQ311_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f602,f1987,f2021,f1057]) ).
fof(f2027,plain,
( ~ sQ307_spl
| sQ311_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f605,f1987,f2021,f1996]) ).
fof(f2029,plain,
( ~ sQ309_spl
| sQ311_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f607,f1987,f2021,f2004]) ).
fof(f2030,plain,
( ~ sQ311_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f608,f1987,f2021]) ).
fof(f2032,definition,
( sQ312_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f2035,plain,
( sQ21_spl
| sQ312_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f613,f2010,f2032,f804]) ).
fof(f2039,plain,
( ~ sQ303_spl
| sQ312_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f617,f2010,f2032,f1977]) ).
fof(f2041,plain,
( ~ sQ312_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f619,f2010,f2032]) ).
fof(f2043,definition,
( sQ313_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f2046,plain,
( sQ85_spl
| sQ313_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f624,f2021,f2043,f1044]) ).
fof(f2050,plain,
( ~ sQ308_spl
| sQ313_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f628,f2021,f2043,f2000]) ).
fof(f2051,plain,
( ~ sQ309_spl
| sQ313_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f629,f2021,f2043,f2004]) ).
fof(f2052,plain,
( ~ sQ313_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f630,f2021,f2043]) ).
fof(f2054,definition,
( sQ314_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f2057,plain,
( sQ17_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f635,f2032,f2054,f791]) ).
fof(f2058,plain,
( sQ5_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f636,f2032,f2054,f752]) ).
fof(f2061,plain,
( ~ sQ303_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f639,f2032,f2054,f1977]) ).
fof(f2063,plain,
( ~ sQ314_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f641,f2032,f2054]) ).
fof(f2065,definition,
( sQ315_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f2071,plain,
( ~ sQ307_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f649,f2043,f2065,f1996]) ).
fof(f2072,plain,
( ~ sQ308_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f650,f2043,f2065,f2000]) ).
fof(f2073,plain,
( ~ sQ309_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f651,f2043,f2065,f2004]) ).
fof(f2074,plain,
( ~ sQ315_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f652,f2043,f2065]) ).
fof(f2076,definition,
( sQ316_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f2079,plain,
( sQ12_spl
| sQ316_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f657,f2054,f2076,f775]) ).
fof(f2080,plain,
( sQ48_spl
| sQ316_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f658,f2054,f2076,f892]) ).
fof(f2081,definition,
( sQ317_spl
<=> op1(e10,op1(e10,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f2083,plain,
( sQ317_spl
| op1(e10,op1(e10,e10)) != e10 ),
inference(component_clause,[status(thm)],[f2081]) ).
fof(f2093,definition,
( sQ320_spl
<=> op1(e10,op1(e10,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f2095,plain,
( sQ320_spl
| op1(e10,op1(e10,e13)) != e13 ),
inference(component_clause,[status(thm)],[f2093]) ).
fof(f2097,plain,
( ~ sQ316_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f663,f2054,f2076]) ).
fof(f2099,definition,
( sQ321_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f2102,plain,
( sQ76_spl
| sQ321_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f668,f2065,f2099,f1015]) ).
fof(f2103,plain,
( sQ112_spl
| sQ321_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f669,f2065,f2099,f1132]) ).
fof(f2104,definition,
( sQ322_spl
<=> op2(e20,op2(e20,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f2105,plain,
( ~ sQ322_spl
| op2(e20,op2(e20,e20)) = e20 ),
inference(component_clause,[status(thm)],[f2104]) ).
fof(f2106,plain,
( sQ322_spl
| op2(e20,op2(e20,e20)) != e20 ),
inference(component_clause,[status(thm)],[f2104]) ).
fof(f2107,plain,
( ~ sQ322_spl
| sQ321_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f670,f2065,f2099,f2104]) ).
fof(f2108,definition,
( sQ323_spl
<=> op2(e20,op2(e20,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f2109,plain,
( ~ sQ323_spl
| op2(e20,op2(e20,e21)) = e21 ),
inference(component_clause,[status(thm)],[f2108]) ).
fof(f2112,definition,
( sQ324_spl
<=> op2(e20,op2(e20,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f2113,plain,
( ~ sQ324_spl
| op2(e20,op2(e20,e22)) = e22 ),
inference(component_clause,[status(thm)],[f2112]) ).
fof(f2114,plain,
( sQ324_spl
| op2(e20,op2(e20,e22)) != e22 ),
inference(component_clause,[status(thm)],[f2112]) ).
fof(f2115,plain,
( ~ sQ324_spl
| sQ321_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f672,f2065,f2099,f2112]) ).
fof(f2116,definition,
( sQ325_spl
<=> op2(e20,op2(e20,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f2117,plain,
( ~ sQ325_spl
| op2(e20,op2(e20,e23)) = e23 ),
inference(component_clause,[status(thm)],[f2116]) ).
fof(f2120,plain,
( ~ sQ321_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f674,f2065,f2099]) ).
fof(f2122,definition,
( sQ326_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2125,plain,
( sQ8_spl
| sQ326_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f679,f2076,f2122,f762]) ).
fof(f2126,plain,
( sQ32_spl
| sQ326_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f680,f2076,f2122,f840]) ).
fof(f2130,plain,
( ~ sQ320_spl
| sQ326_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f684,f2076,f2122,f2093]) ).
fof(f2131,plain,
( ~ sQ326_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f685,f2076,f2122]) ).
fof(f2133,definition,
( sQ327_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2136,plain,
( sQ72_spl
| sQ327_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f690,f2099,f2133,f1002]) ).
fof(f2142,plain,
( ~ sQ327_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f696,f2099,f2133]) ).
fof(f2144,definition,
( sQ328_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2147,plain,
( sQ4_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f701,f2122,f2144,f749]) ).
fof(f2148,plain,
( sQ16_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f702,f2122,f2144,f788]) ).
fof(f2152,plain,
( ~ sQ320_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f706,f2122,f2144,f2093]) ).
fof(f2153,plain,
( ~ sQ328_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f707,f2122,f2144]) ).
fof(f2155,definition,
( sQ329_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f2158,plain,
( sQ68_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f712,f2133,f2155,f989]) ).
fof(f2159,plain,
( sQ80_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f713,f2133,f2155,f1028]) ).
fof(f2160,plain,
( ~ sQ322_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f714,f2133,f2155,f2104]) ).
fof(f2165,plain,
( sQ325_spl
| sQ324_spl
| sQ323_spl
| sQ322_spl
| ~ sQ80_spl
| ~ sQ68_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f719,f2133,f989,f1028,f2104,f2108,f2112,f2116]) ).
fof(f2166,plain,
( sQ0_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f721,f2144,f736]) ).
fof(f2168,plain,
( ~ sQ317_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f723,f2144,f2081]) ).
fof(f2171,plain,
( ~ sQ320_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f726,f2144,f2093]) ).
fof(f2173,plain,
( sQ64_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f729,f2155,f976]) ).
fof(f2175,plain,
( ~ sQ322_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f731,f2155,f2104]) ).
fof(f2177,plain,
( ~ sQ324_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f733,f2155,f2112]) ).
fof(f2180,plain,
e11 = op1(op1(e12,e12),e13),
inference(backward_demodulation,[status(thm)],[f290,f289]) ).
fof(f2181,plain,
e10 = op1(e13,e12),
inference(backward_demodulation,[status(thm)],[f290,f288]) ).
fof(f2182,plain,
e13 != op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f290,f157]) ).
fof(f2183,plain,
op1(e12,e11) != e13,
inference(backward_demodulation,[status(thm)],[f290,f155]) ).
fof(f2184,plain,
op1(e12,e10) != e13,
inference(backward_demodulation,[status(thm)],[f290,f153]) ).
fof(f2186,plain,
op1(e11,e12) != e13,
inference(backward_demodulation,[status(thm)],[f290,f131]) ).
fof(f2187,plain,
op1(e10,e12) != e13,
inference(backward_demodulation,[status(thm)],[f290,f129]) ).
fof(f2188,plain,
e21 = op2(op2(e22,e22),e23),
inference(backward_demodulation,[status(thm)],[f293,f292]) ).
fof(f2189,plain,
e20 = op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f293,f291]) ).
fof(f2190,plain,
e23 != op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f293,f205]) ).
fof(f2194,plain,
op2(e21,e22) != e23,
inference(backward_demodulation,[status(thm)],[f293,f179]) ).
fof(f2195,plain,
op2(e20,e22) != e23,
inference(backward_demodulation,[status(thm)],[f293,f177]) ).
fof(f2196,plain,
h1(e11) = op2(op2(e20,e20),h1(e13)),
inference(backward_demodulation,[status(thm)],[f297,f296]) ).
fof(f2197,plain,
h1(e10) = op2(h1(e13),e20),
inference(backward_demodulation,[status(thm)],[f297,f295]) ).
fof(f2199,plain,
h1(e13) != op2(e20,e22),
inference(backward_demodulation,[status(thm)],[f297,f189]) ).
fof(f2201,plain,
h1(e13) != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f297,f166]) ).
fof(f2202,plain,
h1(e13) != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f297,f165]) ).
fof(f2203,plain,
h1(e13) != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f297,f164]) ).
fof(f2204,plain,
h2(e11) = op2(op2(e21,e21),h2(e13)),
inference(backward_demodulation,[status(thm)],[f301,f300]) ).
fof(f2205,plain,
h2(e10) = op2(h2(e13),e21),
inference(backward_demodulation,[status(thm)],[f301,f299]) ).
fof(f2206,plain,
h2(e13) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f301,f198]) ).
fof(f2210,plain,
h2(e13) != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f301,f173]) ).
fof(f2211,plain,
op2(e20,e21) != h2(e13),
inference(backward_demodulation,[status(thm)],[f301,f170]) ).
fof(f2212,plain,
h3(e10) = e20,
inference(forward_demodulation,[status(thm)],[f291,f303]) ).
fof(f2213,plain,
h3(e11) = e21,
inference(forward_demodulation,[status(thm)],[f292,f304]) ).
fof(f2214,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f293,f305]) ).
fof(f2215,plain,
h4(e11) = op2(op2(e23,e23),h4(e13)),
inference(backward_demodulation,[status(thm)],[f309,f308]) ).
fof(f2216,plain,
h4(e10) = op2(h4(e13),e23),
inference(backward_demodulation,[status(thm)],[f309,f307]) ).
fof(f2217,plain,
op2(e23,e22) != h4(e13),
inference(backward_demodulation,[status(thm)],[f309,f211]) ).
fof(f2218,plain,
op2(e23,e21) != h4(e13),
inference(backward_demodulation,[status(thm)],[f309,f210]) ).
fof(f2219,plain,
op2(e23,e20) != h4(e13),
inference(backward_demodulation,[status(thm)],[f309,f208]) ).
fof(f2220,plain,
op2(e22,e23) != h4(e13),
inference(backward_demodulation,[status(thm)],[f309,f187]) ).
fof(f2222,plain,
op2(e20,e23) != h4(e13),
inference(backward_demodulation,[status(thm)],[f309,f184]) ).
fof(f2231,plain,
( ~ sQ86_spl
| h2(e13) = e22 ),
inference(backward_demodulation,[status(thm)],[f1048,f301]) ).
fof(f2232,plain,
( ~ sQ66_spl
| h1(e13) = e22 ),
inference(backward_demodulation,[status(thm)],[f983,f297]) ).
fof(f2233,plain,
( ~ sQ126_spl
| ~ sQ125_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1175,f1178]) ).
fof(f2234,plain,
( ~ sQ105_spl
| e23 = e21 ),
inference(backward_demodulation,[status(thm)],[f1110,f293]) ).
fof(f2239,plain,
( ~ sQ107_spl
| ~ sQ104_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1107,f1116]) ).
fof(f2240,plain,
( ~ sQ107_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2239,f220]) ).
fof(f2241,plain,
( ~ sQ107_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f2240]) ).
fof(f2242,plain,
( ~ sQ87_spl
| ~ sQ84_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1042,f1051]) ).
fof(f2243,plain,
( ~ sQ87_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2242,f220]) ).
fof(f2244,plain,
( ~ sQ87_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f2243]) ).
fof(f2253,plain,
( ~ sQ22_spl
| e12 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f808,f125]) ).
fof(f2256,plain,
( ~ sQ2_spl
| e12 != op1(e10,e12) ),
inference(backward_demodulation,[status(thm)],[f743,f141]) ).
fof(f2258,plain,
( ~ sQ2_spl
| e12 != op1(e13,e10) ),
inference(backward_demodulation,[status(thm)],[f743,f118]) ).
fof(f2259,plain,
( ~ sQ2_spl
| e12 != op1(e12,e10) ),
inference(backward_demodulation,[status(thm)],[f743,f117]) ).
fof(f2260,plain,
( ~ sQ2_spl
| e12 != op1(e11,e10) ),
inference(backward_demodulation,[status(thm)],[f743,f116]) ).
fof(f2262,plain,
( ~ sQ41_spl
| e13 = e11 ),
inference(backward_demodulation,[status(thm)],[f870,f290]) ).
fof(f2264,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f932,f935]) ).
fof(f2266,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| e10 = e12 ),
inference(backward_demodulation,[status(thm)],[f802,f808]) ).
fof(f2267,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f867,f876]) ).
fof(f2268,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2267,f214]) ).
fof(f2269,plain,
( ~ sQ43_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2268]) ).
fof(f2270,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f802,f811]) ).
fof(f2271,plain,
( ~ sQ23_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2270,f214]) ).
fof(f2272,plain,
( ~ sQ23_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2271]) ).
fof(f2277,plain,
( sQ221_spl
| h4(op1(e13,e12)) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f306,f1553]) ).
fof(f2278,plain,
( sQ218_spl
| h4(op1(e12,e13)) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f306,f1544]) ).
fof(f2279,plain,
( sQ217_spl
| h4(op1(e12,e12)) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f306,f1541]) ).
fof(f2280,plain,
( sQ217_spl
| h4(op1(e12,e12)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f306,f2279]) ).
fof(f2283,plain,
( sQ215_spl
| h4(op1(e12,e10)) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f306,f1535]) ).
fof(f2284,plain,
( sQ213_spl
| h4(op1(e11,e12)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f306,f1529]) ).
fof(f2285,plain,
( sQ209_spl
| h4(op1(e10,e12)) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f306,f1517]) ).
fof(f2293,plain,
( sQ198_spl
| h3(op1(e13,e12)) != op2(e23,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2214,f1480]) ).
fof(f2294,plain,
( sQ198_spl
| h3(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f302,f2293]) ).
fof(f2295,plain,
( sQ197_spl
| h3(op1(e13,e11)) != op2(e23,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2214,f1477]) ).
fof(f2296,plain,
( sQ197_spl
| h3(op1(e13,e11)) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2213,f2295]) ).
fof(f2297,plain,
( sQ196_spl
| h3(op1(e13,e10)) != op2(e23,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f2214,f1474]) ).
fof(f2298,plain,
( sQ196_spl
| h3(op1(e13,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f2212,f2297]) ).
fof(f2299,plain,
( sQ195_spl
| h3(op1(e12,e13)) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f302,f1471]) ).
fof(f2300,plain,
( sQ195_spl
| h3(op1(e12,e13)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2214,f2299]) ).
fof(f2301,plain,
( sQ194_spl
| h3(op1(e12,e12)) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f302,f1468]) ).
fof(f2302,plain,
( sQ194_spl
| h3(op1(e12,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f302,f2301]) ).
fof(f2303,plain,
( sQ193_spl
| h3(op1(e12,e11)) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f302,f1465]) ).
fof(f2304,plain,
( sQ193_spl
| h3(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2213,f2303]) ).
fof(f2305,plain,
( sQ192_spl
| h3(op1(e12,e10)) != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f302,f1462]) ).
fof(f2306,plain,
( sQ192_spl
| h3(op1(e12,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2212,f2305]) ).
fof(f2307,plain,
( sQ191_spl
| h3(op1(e11,e13)) != op2(e21,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f2213,f1459]) ).
fof(f2308,plain,
( sQ191_spl
| h3(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2214,f2307]) ).
fof(f2309,plain,
( sQ190_spl
| h3(op1(e11,e12)) != op2(e21,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2213,f1456]) ).
fof(f2310,plain,
( sQ190_spl
| h3(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f302,f2309]) ).
fof(f2311,plain,
( sQ189_spl
| h3(op1(e11,e11)) != op2(e21,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2213,f1453]) ).
fof(f2312,plain,
( sQ189_spl
| h3(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2213,f2311]) ).
fof(f2313,plain,
( sQ188_spl
| h3(op1(e11,e10)) != op2(e21,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f2213,f1450]) ).
fof(f2314,plain,
( sQ188_spl
| h3(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2212,f2313]) ).
fof(f2315,plain,
( sQ187_spl
| h3(op1(e10,e13)) != op2(e20,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f2212,f1447]) ).
fof(f2316,plain,
( sQ187_spl
| h3(op1(e10,e13)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2214,f2315]) ).
fof(f2317,plain,
( sQ186_spl
| h3(op1(e10,e12)) != op2(e20,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2212,f1444]) ).
fof(f2318,plain,
( sQ186_spl
| h3(op1(e10,e12)) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f302,f2317]) ).
fof(f2319,plain,
( sQ185_spl
| h3(op1(e10,e11)) != op2(e20,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2212,f1441]) ).
fof(f2320,plain,
( sQ185_spl
| h3(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2213,f2319]) ).
fof(f2321,plain,
( sQ184_spl
| h3(op1(e10,e10)) != op2(e20,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f2212,f1438]) ).
fof(f2322,plain,
( sQ184_spl
| h3(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2212,f2321]) ).
fof(f2324,plain,
( sQ175_spl
| h2(op1(e13,e12)) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f298,f1407]) ).
fof(f2325,plain,
( sQ172_spl
| h2(op1(e12,e13)) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f298,f1398]) ).
fof(f2326,plain,
( sQ171_spl
| h2(op1(e12,e12)) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f298,f1395]) ).
fof(f2327,plain,
( sQ171_spl
| h2(op1(e12,e12)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f298,f2326]) ).
fof(f2328,plain,
( sQ170_spl
| h2(op1(e12,e11)) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f298,f1392]) ).
fof(f2329,plain,
( sQ169_spl
| h2(op1(e12,e10)) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f298,f1389]) ).
fof(f2330,plain,
( sQ167_spl
| h2(op1(e11,e12)) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f298,f1383]) ).
fof(f2331,plain,
( sQ163_spl
| h2(op1(e10,e12)) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f298,f1371]) ).
fof(f2333,plain,
( sQ152_spl
| h1(op1(e13,e12)) != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f294,f1334]) ).
fof(f2334,plain,
( sQ149_spl
| h1(op1(e12,e13)) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f294,f1325]) ).
fof(f2335,plain,
( sQ148_spl
| h1(op1(e12,e12)) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f294,f1322]) ).
fof(f2336,plain,
( sQ148_spl
| h1(op1(e12,e12)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f294,f2335]) ).
fof(f2338,plain,
( sQ146_spl
| h1(op1(e12,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f294,f1316]) ).
fof(f2339,plain,
( sQ144_spl
| h1(op1(e11,e12)) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f294,f1310]) ).
fof(f2340,plain,
( sQ140_spl
| h1(op1(e10,e12)) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f294,f1298]) ).
fof(f2342,plain,
( ~ sQ94_spl
| op2(e21,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f1074,f199]) ).
fof(f2344,plain,
( ~ sQ94_spl
| e22 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f1074,f185]) ).
fof(f2347,plain,
( ~ sQ78_spl
| op2(e20,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f1022,f193]) ).
fof(f2348,plain,
( ~ sQ78_spl
| op2(e20,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1022,f192]) ).
fof(f2349,plain,
( ~ sQ78_spl
| e22 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f1022,f183]) ).
fof(f2353,plain,
( ~ sQ118_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1152,f175]) ).
fof(f2357,plain,
( ~ sQ114_spl
| op2(e22,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f1139,f169]) ).
fof(f2358,plain,
( ~ sQ114_spl
| op2(e21,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f1139,f168]) ).
fof(f2382,plain,
( ~ sQ99_spl
| ~ sQ97_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f1084,f1090]) ).
fof(f2387,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f996,f999]) ).
fof(f2394,plain,
( ~ sQ30_spl
| e12 != op1(e12,e13) ),
inference(backward_demodulation,[status(thm)],[f834,f137]) ).
fof(f2399,plain,
( ~ sQ14_spl
| op1(e10,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f782,f145]) ).
fof(f2401,plain,
( ~ sQ14_spl
| e12 != op1(e12,e13) ),
inference(backward_demodulation,[status(thm)],[f782,f135]) ).
fof(f2406,plain,
( ~ sQ54_spl
| op1(e13,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f912,f158]) ).
fof(f2407,plain,
( ~ sQ54_spl
| op1(e12,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f912,f127]) ).
fof(f2408,plain,
( ~ sQ54_spl
| op1(e10,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f912,f124]) ).
fof(f2409,plain,
( sQ150_spl
| ~ sQ50_spl
| h1(e12) != op2(h1(e13),h1(e10)) ),
inference(backward_demodulation,[status(thm)],[f899,f1328]) ).
fof(f2410,plain,
( sQ173_spl
| ~ sQ50_spl
| h2(e12) != op2(h2(e13),h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f899,f1401]) ).
fof(f2411,plain,
( sQ219_spl
| ~ sQ50_spl
| h4(e12) != op2(h4(e13),h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f899,f1547]) ).
fof(f2413,plain,
( ~ sQ50_spl
| op1(e12,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f899,f121]) ).
fof(f2426,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| e11 = e12 ),
inference(backward_demodulation,[status(thm)],[f896,f899]) ).
fof(f2430,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| e10 = e12 ),
inference(backward_demodulation,[status(thm)],[f906,f912]) ).
fof(f2459,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f756,f759]) ).
fof(f2461,plain,
( sQ228_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f306,f1576]) ).
fof(f2462,plain,
( sQ228_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2461]) ).
fof(f2463,plain,
sQ228_spl,
inference(contradiction_clause,[status(thm)],[f2462]) ).
fof(f2464,plain,
( sQ206_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2214,f1507]) ).
fof(f2465,plain,
( sQ206_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2464]) ).
fof(f2466,plain,
sQ206_spl,
inference(contradiction_clause,[status(thm)],[f2465]) ).
fof(f2487,plain,
( ~ sQ101_spl
| ~ sQ100_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1094,f1097]) ).
fof(f2488,plain,
( ~ sQ101_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2487,f218]) ).
fof(f2489,plain,
( ~ sQ101_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f2488]) ).
fof(f2493,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1006,f1009]) ).
fof(f2494,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2493,f221]) ).
fof(f2495,plain,
( ~ sQ74_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2494]) ).
fof(f2499,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1159,f1165]) ).
fof(f2500,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2499,f219]) ).
fof(f2501,plain,
( ~ sQ122_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f2500]) ).
fof(f2509,plain,
( ~ sQ37_spl
| ~ sQ36_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f854,f857]) ).
fof(f2510,plain,
( ~ sQ37_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2509,f212]) ).
fof(f2511,plain,
( ~ sQ37_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2510]) ).
fof(f2515,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f766,f769]) ).
fof(f2516,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2515,f215]) ).
fof(f2517,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2516]) ).
fof(f2530,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f828,f837]) ).
fof(f2531,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2530,f214]) ).
fof(f2532,plain,
( ~ sQ31_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f2531]) ).
fof(f2536,plain,
( ~ sQ95_spl
| ~ sQ92_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1068,f1077]) ).
fof(f2537,plain,
( ~ sQ95_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2536,f220]) ).
fof(f2538,plain,
( ~ sQ95_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f2537]) ).
fof(f2539,plain,
( ~ sQ69_spl
| ~ sQ68_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f990,f993]) ).
fof(f2543,plain,
( ~ sQ98_spl
| ~ sQ96_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1081,f1087]) ).
fof(f2544,plain,
( ~ sQ98_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2543,f219]) ).
fof(f2545,plain,
( ~ sQ98_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f2544]) ).
fof(f2546,plain,
( ~ sQ115_spl
| ~ sQ112_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1133,f1142]) ).
fof(f2547,plain,
( ~ sQ115_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2546,f220]) ).
fof(f2548,plain,
( ~ sQ115_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f2547]) ).
fof(f2549,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f750,f753]) ).
fof(f2550,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f789,f792]) ).
fof(f2551,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2550,f212]) ).
fof(f2552,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f2551]) ).
fof(f2553,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f841,f847]) ).
fof(f2554,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2553,f213]) ).
fof(f2555,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2554]) ).
fof(f2559,plain,
( sQ135_spl
| ~ sQ119_spl
| op2(e23,e23) != e21 ),
inference(forward_demodulation,[status(thm)],[f1155,f1280]) ).
fof(f2576,plain,
( ~ sQ303_spl
| ~ sQ25_spl
| op1(e11,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f818,f1978]) ).
fof(f2577,plain,
( ~ sQ303_spl
| ~ sQ25_spl
| ~ sQ21_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f805,f2576]) ).
fof(f2578,plain,
( ~ sQ303_spl
| ~ sQ25_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2577,f215]) ).
fof(f2579,plain,
( ~ sQ303_spl
| ~ sQ25_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2578]) ).
fof(f2587,plain,
( ~ sQ291_spl
| ~ sQ102_spl
| op2(e22,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f1100,f1885]) ).
fof(f2594,plain,
( ~ sQ286_spl
| ~ sQ38_spl
| op1(e12,e12) = e11 ),
inference(forward_demodulation,[status(thm)],[f860,f1862]) ).
fof(f2596,plain,
( ~ sQ278_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f1800,f306]) ).
fof(f2599,plain,
( ~ sQ279_spl
| ~ sQ275_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1787,f1804]) ).
fof(f2601,plain,
( ~ sQ277_spl
| ~ sQ273_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1779,f1796]) ).
fof(f2607,plain,
( ~ sQ267_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f1753,f2214]) ).
fof(f2608,plain,
( ~ sQ265_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f2213,f1745]) ).
fof(f2609,plain,
( ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2608,f221]) ).
fof(f2610,plain,
~ sQ265_spl,
inference(contradiction_clause,[status(thm)],[f2609]) ).
fof(f2611,plain,
( ~ sQ264_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2212,f1741]) ).
fof(f2612,plain,
( ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2611,f219]) ).
fof(f2613,plain,
~ sQ264_spl,
inference(contradiction_clause,[status(thm)],[f2612]) ).
fof(f2615,plain,
( ~ sQ262_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1732,f302]) ).
fof(f2616,plain,
( ~ sQ260_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2212,f1724]) ).
fof(f2617,plain,
( ~ sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2616,f218]) ).
fof(f2618,plain,
~ sQ260_spl,
inference(contradiction_clause,[status(thm)],[f2617]) ).
fof(f2621,plain,
( ~ sQ257_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f1711,f2213]) ).
fof(f2623,plain,
( ~ sQ254_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f298,f1698]) ).
fof(f2624,plain,
( ~ sQ254_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2623,f221]) ).
fof(f2625,plain,
~ sQ254_spl,
inference(contradiction_clause,[status(thm)],[f2624]) ).
fof(f2628,plain,
( ~ sQ255_spl
| ~ sQ251_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1685,f1702]) ).
fof(f2629,plain,
( ~ sQ253_spl
| ~ sQ249_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1677,f1694]) ).
fof(f2632,plain,
( ~ sQ246_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f1664,f298]) ).
fof(f2633,plain,
( ~ sQ249_spl
| ~ sQ245_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f1660,f1677]) ).
fof(f2634,plain,
( ~ sQ248_spl
| ~ sQ244_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f1656,f1673]) ).
fof(f2636,plain,
( ~ sQ242_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f294,f1647]) ).
fof(f2637,plain,
( ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2636,f219]) ).
fof(f2638,plain,
~ sQ242_spl,
inference(contradiction_clause,[status(thm)],[f2637]) ).
fof(f2642,plain,
( ~ sQ238_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f294,f1630]) ).
fof(f2643,plain,
( ~ sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2642,f218]) ).
fof(f2644,plain,
~ sQ238_spl,
inference(contradiction_clause,[status(thm)],[f2643]) ).
fof(f2645,plain,
( ~ sQ241_spl
| ~ sQ237_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1626,f1643]) ).
fof(f2646,plain,
( ~ sQ240_spl
| ~ sQ236_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1622,f1639]) ).
fof(f2649,plain,
( ~ sQ59_spl
| e10 = e13 ),
inference(backward_demodulation,[status(thm)],[f2181,f928]) ).
fof(f2654,plain,
( ~ sQ123_spl
| e20 = e23 ),
inference(backward_demodulation,[status(thm)],[f2189,f1168]) ).
fof(f2683,plain,
( ~ sQ102_spl
| h2(e13) != e22 ),
inference(forward_demodulation,[status(thm)],[f1100,f2210]) ).
fof(f2684,plain,
( ~ sQ68_spl
| e20 != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f990,f2211]) ).
fof(f2689,plain,
e20 != h4(e13),
inference(forward_demodulation,[status(thm)],[f2189,f2217]) ).
fof(f2690,plain,
( ~ sQ271_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1770,f2689]) ).
fof(f2691,plain,
( ~ sQ271_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2690]) ).
fof(f2692,plain,
~ sQ271_spl,
inference(contradiction_clause,[status(thm)],[f2691]) ).
fof(f2702,plain,
( ~ sQ86_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2231,f2683]) ).
fof(f2703,plain,
( ~ sQ86_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f2702]) ).
fof(f2705,plain,
( ~ sQ66_spl
| e22 != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f2232,f2201]) ).
fof(f2708,plain,
( ~ sQ126_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2233,f221]) ).
fof(f2709,plain,
( ~ sQ126_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2708]) ).
fof(f2710,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2234,f222]) ).
fof(f2711,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f2710]) ).
fof(f2712,plain,
( ~ sQ66_spl
| ~ sQ64_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f977,f983]) ).
fof(f2713,plain,
( ~ sQ66_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2712,f219]) ).
fof(f2714,plain,
( ~ sQ66_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f2713]) ).
fof(f2716,plain,
( ~ sQ22_spl
| ~ sQ38_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f860,f2253]) ).
fof(f2717,plain,
( ~ sQ22_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2716]) ).
fof(f2718,plain,
( ~ sQ22_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2717]) ).
fof(f2722,plain,
( ~ sQ2_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2259,f846,f742]) ).
fof(f2725,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2262,f216]) ).
fof(f2726,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f2725]) ).
fof(f2737,plain,
( ~ sQ118_spl
| ~ sQ102_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1100,f2353]) ).
fof(f2738,plain,
( ~ sQ118_spl
| ~ sQ102_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2737]) ).
fof(f2739,plain,
( ~ sQ118_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f2738]) ).
fof(f2741,plain,
( ~ sQ114_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f2357,f1086,f1138]) ).
fof(f2755,plain,
( ~ sQ99_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2382,f222]) ).
fof(f2756,plain,
( ~ sQ99_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f2755]) ).
fof(f2759,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2387,f223]) ).
fof(f2760,plain,
( ~ sQ71_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f2759]) ).
fof(f2781,plain,
( ~ sQ54_spl
| ~ sQ38_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f860,f2407]) ).
fof(f2782,plain,
( ~ sQ54_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2781]) ).
fof(f2783,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f2782]) ).
fof(f2784,plain,
( sQ150_spl
| ~ sQ50_spl
| e20 != op2(h1(e13),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f294,f2409]) ).
fof(f2791,plain,
( ~ sQ50_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2413,f846,f898]) ).
fof(f2796,plain,
( ~ sQ50_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2426,f215]) ).
fof(f2797,plain,
( ~ sQ50_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2796]) ).
fof(f2823,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2459,f217]) ).
fof(f2824,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2823]) ).
fof(f2827,plain,
( ~ sQ228_spl
| ~ sQ270_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1766,f1575]) ).
fof(f2828,plain,
( ~ sQ228_spl
| ~ sQ270_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2827,f220]) ).
fof(f2829,plain,
( ~ sQ228_spl
| ~ sQ270_spl ),
inference(contradiction_clause,[status(thm)],[f2828]) ).
fof(f2830,plain,
( ~ sQ206_spl
| ~ sQ259_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1719,f1506]) ).
fof(f2831,plain,
( ~ sQ206_spl
| ~ sQ259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2830,f220]) ).
fof(f2832,plain,
( ~ sQ206_spl
| ~ sQ259_spl ),
inference(contradiction_clause,[status(thm)],[f2831]) ).
fof(f2857,plain,
( ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1064,f2194]) ).
fof(f2858,plain,
~ sQ91_spl,
inference(contradiction_clause,[status(thm)],[f2857]) ).
fof(f2859,plain,
( ~ sQ78_spl
| ~ sQ76_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1016,f1022]) ).
fof(f2860,plain,
( ~ sQ78_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2859,f219]) ).
fof(f2861,plain,
( ~ sQ78_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f2860]) ).
fof(f2868,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f2186]) ).
fof(f2869,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f2868]) ).
fof(f2870,plain,
( ~ sQ58_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f2181,f925]) ).
fof(f2871,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2870,f213]) ).
fof(f2872,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f2871]) ).
fof(f2873,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f776,f782]) ).
fof(f2874,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2873,f213]) ).
fof(f2875,plain,
( ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2874]) ).
fof(f2876,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f889,f2182]) ).
fof(f2877,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f2876]) ).
fof(f2881,plain,
( ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1129,f2190]) ).
fof(f2882,plain,
~ sQ111_spl,
inference(contradiction_clause,[status(thm)],[f2881]) ).
fof(f2884,plain,
( ~ sQ109_spl
| e21 != h4(e13) ),
inference(backward_demodulation,[status(thm)],[f1123,f2220]) ).
fof(f2888,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2549,f212]) ).
fof(f2889,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2888]) ).
fof(f2897,plain,
( ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2596,f223]) ).
fof(f2898,plain,
~ sQ278_spl,
inference(contradiction_clause,[status(thm)],[f2897]) ).
fof(f2899,plain,
( ~ sQ279_spl
| ~ sQ275_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2599,f221]) ).
fof(f2900,plain,
( ~ sQ279_spl
| ~ sQ275_spl ),
inference(contradiction_clause,[status(thm)],[f2899]) ).
fof(f2901,plain,
( ~ sQ277_spl
| ~ sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2601,f221]) ).
fof(f2902,plain,
( ~ sQ277_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f2901]) ).
fof(f2905,plain,
( ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2607,f223]) ).
fof(f2906,plain,
~ sQ267_spl,
inference(contradiction_clause,[status(thm)],[f2905]) ).
fof(f2909,plain,
( ~ sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2615,f221]) ).
fof(f2910,plain,
~ sQ262_spl,
inference(contradiction_clause,[status(thm)],[f2909]) ).
fof(f2912,plain,
( ~ sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2621,f218]) ).
fof(f2913,plain,
~ sQ257_spl,
inference(contradiction_clause,[status(thm)],[f2912]) ).
fof(f2915,plain,
( ~ sQ255_spl
| ~ sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2628,f221]) ).
fof(f2916,plain,
( ~ sQ255_spl
| ~ sQ251_spl ),
inference(contradiction_clause,[status(thm)],[f2915]) ).
fof(f2917,plain,
( ~ sQ253_spl
| ~ sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2629,f221]) ).
fof(f2918,plain,
( ~ sQ253_spl
| ~ sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f2917]) ).
fof(f2921,plain,
( ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2632,f218]) ).
fof(f2922,plain,
~ sQ246_spl,
inference(contradiction_clause,[status(thm)],[f2921]) ).
fof(f2927,plain,
( ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2649,f214]) ).
fof(f2928,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f2927]) ).
fof(f2929,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2654,f220]) ).
fof(f2930,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f2929]) ).
fof(f2935,plain,
( ~ sQ94_spl
| h2(e13) != e22 ),
inference(forward_demodulation,[status(thm)],[f1074,f2206]) ).
fof(f2937,plain,
( ~ sQ45_spl
| e11 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f883,f139]) ).
fof(f2941,plain,
( sQ137_spl
| op2(e23,h4(e13)) != e23 ),
inference(backward_demodulation,[status(thm)],[f309,f1288]) ).
fof(f2942,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(backward_demodulation,[status(thm)],[f301,f2204]) ).
fof(f2955,plain,
( ~ sQ0_spl
| e10 != op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f737,f142]) ).
fof(f2956,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f776,f2955]) ).
fof(f2957,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2956]) ).
fof(f2958,plain,
( ~ sQ0_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2957]) ).
fof(f2963,plain,
( ~ sQ0_spl
| e10 != op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f737,f140]) ).
fof(f2964,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f750,f2963]) ).
fof(f2965,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2964]) ).
fof(f2966,plain,
( ~ sQ0_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2965]) ).
fof(f2968,plain,
( ~ sQ0_spl
| e10 != op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f737,f117]) ).
fof(f2973,plain,
( ~ sQ87_spl
| h2(e13) = e23 ),
inference(backward_demodulation,[status(thm)],[f1051,f301]) ).
fof(f2974,plain,
op2(e23,e21) != e20,
inference(forward_demodulation,[status(thm)],[f2189,f209]) ).
fof(f2980,plain,
h4(e13) = e21,
inference(backward_demodulation,[status(thm)],[f2981,f309]) ).
fof(f2981,plain,
e21 = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f293,f2188]) ).
fof(f2982,plain,
( ~ sQ106_spl
| e23 = e22 ),
inference(backward_demodulation,[status(thm)],[f1113,f293]) ).
fof(f2984,plain,
( sQ198_spl
| h3(e10) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2181,f2294]) ).
fof(f2985,plain,
( sQ198_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2212,f2984]) ).
fof(f2986,plain,
( sQ198_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2189,f2985]) ).
fof(f2987,plain,
( sQ198_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2986]) ).
fof(f2988,plain,
sQ198_spl,
inference(contradiction_clause,[status(thm)],[f2987]) ).
fof(f2989,plain,
op2(e21,e22) != e20,
inference(forward_demodulation,[status(thm)],[f2189,f180]) ).
fof(f2990,plain,
op2(e20,e22) != e20,
inference(forward_demodulation,[status(thm)],[f2189,f178]) ).
fof(f2998,plain,
( ~ sQ117_spl
| e21 != h4(e13) ),
inference(backward_demodulation,[status(thm)],[f1149,f2218]) ).
fof(f3000,plain,
( ~ sQ86_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2231,f1701,f1047]) ).
fof(f3005,plain,
( ~ sQ83_spl
| e23 != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f1038,f168]) ).
fof(f3012,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f805,f811]) ).
fof(f3013,plain,
( ~ sQ23_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3012,f216]) ).
fof(f3014,plain,
( ~ sQ23_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3013]) ).
fof(f3025,plain,
( sQ217_spl
| h4(e13) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f290,f2280]) ).
fof(f3026,plain,
( sQ217_spl
| h4(e13) != e21 ),
inference(forward_demodulation,[status(thm)],[f2981,f3025]) ).
fof(f3027,plain,
e11 = op1(e13,e13),
inference(forward_demodulation,[status(thm)],[f290,f2180]) ).
fof(f3028,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3027,f2937]) ).
fof(f3029,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f3028]) ).
fof(f3030,plain,
( ~ sQ42_spl
| e13 = e12 ),
inference(backward_demodulation,[status(thm)],[f873,f290]) ).
fof(f3031,plain,
( sQ152_spl
| h1(e10) != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f2181,f2333]) ).
fof(f3032,plain,
( sQ175_spl
| h2(e10) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f2181,f2324]) ).
fof(f3037,plain,
( sQ221_spl
| h4(e10) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f2181,f2277]) ).
fof(f3042,plain,
( ~ sQ24_spl
| e10 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f815,f132]) ).
fof(f3043,plain,
( ~ sQ24_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f2181,f3042]) ).
fof(f3044,plain,
( ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3043]) ).
fof(f3045,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f3044]) ).
fof(f3047,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f805,f808]) ).
fof(f3048,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3047,f215]) ).
fof(f3049,plain,
( ~ sQ22_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f3048]) ).
fof(f3054,plain,
( ~ sQ7_spl
| e13 != op1(e13,e11) ),
inference(backward_demodulation,[status(thm)],[f759,f124]) ).
fof(f3078,plain,
( sQ199_spl
| ~ sQ206_spl
| h3(op1(e13,e13)) != op2(h3(e13),e23) ),
inference(backward_demodulation,[status(thm)],[f1506,f1483]) ).
fof(f3081,plain,
( sQ189_spl
| ~ sQ21_spl
| h3(e11) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f805,f2312]) ).
fof(f3084,plain,
( sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2197,f3031]) ).
fof(f3085,plain,
sQ152_spl,
inference(contradiction_clause,[status(thm)],[f3084]) ).
fof(f3127,plain,
( ~ sQ57_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f2181,f922]) ).
fof(f3128,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3127,f212]) ).
fof(f3129,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f3128]) ).
fof(f3142,plain,
op1(e13,e10) != e10,
inference(forward_demodulation,[status(thm)],[f2181,f159]) ).
fof(f3143,plain,
( ~ sQ19_spl
| e13 != op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f798,f120]) ).
fof(f3152,plain,
( ~ sQ7_spl
| e13 != op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f759,f144]) ).
fof(f3153,plain,
( ~ sQ51_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f902,f3143]) ).
fof(f3154,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f3153]) ).
fof(f3167,plain,
( ~ sQ127_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f2981,f1181]) ).
fof(f3168,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3167,f222]) ).
fof(f3169,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f3168]) ).
fof(f3170,plain,
( ~ sQ67_spl
| h1(e13) = e23 ),
inference(backward_demodulation,[status(thm)],[f986,f297]) ).
fof(f3173,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1055,f2989]) ).
fof(f3174,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f3173]) ).
fof(f3184,plain,
( ~ sQ322_spl
| ~ sQ67_spl
| op2(e20,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f986,f2105]) ).
fof(f3187,plain,
( ~ sQ109_spl
| ~ sQ275_spl ),
inference(split_clause,[status(thm)],[f2884,f1786,f1122]) ).
fof(f3188,plain,
( ~ sQ274_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1783,f306]) ).
fof(f3189,plain,
( ~ sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3188,f222]) ).
fof(f3190,plain,
~ sQ274_spl,
inference(contradiction_clause,[status(thm)],[f3189]) ).
fof(f3193,plain,
( ~ sQ263_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1736,f2214]) ).
fof(f3194,plain,
( ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3193,f222]) ).
fof(f3195,plain,
~ sQ263_spl,
inference(contradiction_clause,[status(thm)],[f3194]) ).
fof(f3197,plain,
( ~ sQ258_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1715,f302]) ).
fof(f3198,plain,
( ~ sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3197,f219]) ).
fof(f3199,plain,
~ sQ258_spl,
inference(contradiction_clause,[status(thm)],[f3198]) ).
fof(f3207,plain,
( ~ sQ240_spl
| ~ sQ236_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2646,f221]) ).
fof(f3208,plain,
( ~ sQ240_spl
| ~ sQ236_spl ),
inference(contradiction_clause,[status(thm)],[f3207]) ).
fof(f3210,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| e11 = e12 ),
inference(backward_demodulation,[status(thm)],[f909,f912]) ).
fof(f3211,plain,
( sQ131_spl
| op1(e13,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f2181,f1247]) ).
fof(f3213,plain,
( sQ136_spl
| op2(e23,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f2189,f1284]) ).
fof(f3215,plain,
( sQ176_spl
| h2(op1(e13,e13)) != h2(e11) ),
inference(backward_demodulation,[status(thm)],[f2942,f1410]) ).
fof(f3220,plain,
( sQ137_spl
| op2(e23,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f2980,f2941]) ).
fof(f3229,plain,
( ~ sQ81_spl
| e21 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1032,f167]) ).
fof(f3231,plain,
( ~ sQ114_spl
| sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1139,f3213]) ).
fof(f3232,plain,
( ~ sQ114_spl
| sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f3231]) ).
fof(f3233,plain,
( ~ sQ83_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f3005,f1141,f1037]) ).
fof(f3239,plain,
( ~ sQ116_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1146,f2974]) ).
fof(f3240,plain,
( ~ sQ116_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3239]) ).
fof(f3241,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f3240]) ).
fof(f3250,plain,
( ~ sQ115_spl
| h1(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f1142,f2201]) ).
fof(f3252,plain,
op1(e10,e13) != e11,
inference(backward_demodulation,[status(thm)],[f3027,f136]) ).
fof(f3256,plain,
( sQ132_spl
| op1(e13,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f3027,f1251]) ).
fof(f3260,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2394,f885,f833]) ).
fof(f3264,plain,
( sQ149_spl
| ~ sQ44_spl
| h1(e10) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f880,f2334]) ).
fof(f3265,plain,
( sQ172_spl
| ~ sQ44_spl
| h2(e10) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f880,f2325]) ).
fof(f3276,plain,
( sQ146_spl
| ~ sQ33_spl
| h1(e11) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f844,f2338]) ).
fof(f3285,plain,
( ~ sQ33_spl
| op1(e11,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f844,f119]) ).
fof(f3288,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f834,f837]) ).
fof(f3289,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3288,f217]) ).
fof(f3290,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3289]) ).
fof(f3291,plain,
( ~ sQ175_spl
| h2(e10) = op2(h2(e13),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2181,f1406]) ).
fof(f3294,plain,
( ~ sQ221_spl
| h4(e10) = op2(h4(e13),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2181,f1552]) ).
fof(f3300,plain,
( sQ190_spl
| ~ sQ26_spl
| h3(e12) != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f821,f2310]) ).
fof(f3303,plain,
( sQ303_spl
| ~ sQ26_spl
| op1(e11,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f821,f1979]) ).
fof(f3304,plain,
( sQ303_spl
| ~ sQ26_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f821,f3303]) ).
fof(f3305,plain,
( sQ303_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3304]) ).
fof(f3306,plain,
( sQ303_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f3305]) ).
fof(f3310,plain,
( ~ sQ63_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f3027,f941]) ).
fof(f3311,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3310,f216]) ).
fof(f3312,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f3311]) ).
fof(f3313,plain,
( sQ171_spl
| h2(e13) != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f290,f2327]) ).
fof(f3314,plain,
( ~ sQ287_spl
| op1(e12,e13) = e12 ),
inference(forward_demodulation,[status(thm)],[f290,f1866]) ).
fof(f3315,plain,
( ~ sQ287_spl
| ~ sQ44_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f880,f3314]) ).
fof(f3316,plain,
( ~ sQ287_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3315,f213]) ).
fof(f3317,plain,
( ~ sQ287_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3316]) ).
fof(f3318,plain,
( sQ148_spl
| h1(e13) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f290,f2336]) ).
fof(f3327,plain,
( ~ sQ49_spl
| op1(e10,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f896,f118]) ).
fof(f3343,plain,
( sQ199_spl
| ~ sQ206_spl
| h3(e11) != op2(h3(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f3027,f3078]) ).
fof(f3344,plain,
( sQ199_spl
| ~ sQ206_spl
| e21 != op2(h3(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f2213,f3343]) ).
fof(f3358,plain,
( sQ194_spl
| h3(e13) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f290,f2302]) ).
fof(f3359,plain,
( sQ194_spl
| h3(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f293,f3358]) ).
fof(f3369,plain,
( ~ sQ25_spl
| op1(e11,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f818,f147]) ).
fof(f3384,plain,
( sQ217_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2980,f3026]) ).
fof(f3385,plain,
( sQ217_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3384]) ).
fof(f3386,plain,
sQ217_spl,
inference(contradiction_clause,[status(thm)],[f3385]) ).
fof(f3389,plain,
( sQ222_spl
| h4(e11) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3027,f1556]) ).
fof(f3404,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2982,f223]) ).
fof(f3405,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f3404]) ).
fof(f3408,plain,
( ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1012,f2195]) ).
fof(f3409,plain,
~ sQ75_spl,
inference(contradiction_clause,[status(thm)],[f3408]) ).
fof(f3410,plain,
( ~ sQ79_spl
| ~ sQ76_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1016,f1025]) ).
fof(f3411,plain,
( ~ sQ79_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3410,f220]) ).
fof(f3412,plain,
( ~ sQ79_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f3411]) ).
fof(f3413,plain,
( ~ sQ69_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2539,f218]) ).
fof(f3414,plain,
( ~ sQ69_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f3413]) ).
fof(f3419,plain,
( sQ135_spl
| ~ sQ119_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f2559,f1174,f1154,f1278]) ).
fof(f3425,plain,
( ~ sQ249_spl
| e21 = op2(h2(e13),h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f1677,f2942]) ).
fof(f3429,plain,
( ~ sQ255_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1702,f2935]) ).
fof(f3430,plain,
( ~ sQ255_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f3429]) ).
fof(f3431,plain,
( sQ275_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2980,f1788]) ).
fof(f3432,plain,
( sQ275_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3431]) ).
fof(f3433,plain,
sQ275_spl,
inference(contradiction_clause,[status(thm)],[f3432]) ).
fof(f3439,plain,
( sQ194_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2214,f3359]) ).
fof(f3440,plain,
sQ194_spl,
inference(contradiction_clause,[status(thm)],[f3439]) ).
fof(f3441,plain,
( sQ199_spl
| ~ sQ206_spl
| e21 != op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f1506,f3344]) ).
fof(f3446,plain,
( sQ261_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2213,f1729]) ).
fof(f3447,plain,
( sQ261_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3446]) ).
fof(f3448,plain,
sQ261_spl,
inference(contradiction_clause,[status(thm)],[f3447]) ).
fof(f3450,plain,
( sQ266_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f302,f1750]) ).
fof(f3451,plain,
( sQ266_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3450]) ).
fof(f3452,plain,
sQ266_spl,
inference(contradiction_clause,[status(thm)],[f3451]) ).
fof(f3454,plain,
( sQ256_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2212,f1708]) ).
fof(f3455,plain,
( sQ256_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3454]) ).
fof(f3456,plain,
sQ256_spl,
inference(contradiction_clause,[status(thm)],[f3455]) ).
fof(f3459,plain,
( ~ sQ241_spl
| ~ sQ237_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2645,f221]) ).
fof(f3460,plain,
( ~ sQ241_spl
| ~ sQ237_spl ),
inference(contradiction_clause,[status(thm)],[f3459]) ).
fof(f3462,plain,
( ~ sQ54_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3210,f215]) ).
fof(f3463,plain,
( ~ sQ54_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f3462]) ).
fof(f3464,plain,
( sQ176_spl
| h2(e11) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f3027,f3215]) ).
fof(f3469,plain,
( ~ sQ136_spl
| op2(e23,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f2189,f1283]) ).
fof(f3470,plain,
( ~ sQ124_spl
| e21 = e20 ),
inference(backward_demodulation,[status(thm)],[f1172,f2981]) ).
fof(f3479,plain,
( ~ sQ117_spl
| ~ sQ275_spl ),
inference(split_clause,[status(thm)],[f2998,f1786,f1148]) ).
fof(f3482,plain,
( ~ sQ136_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3469,f206]) ).
fof(f3486,plain,
( sQ132_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3256,f914,f1249]) ).
fof(f3490,plain,
( ~ sQ0_spl
| e10 != op1(e11,e10) ),
inference(backward_demodulation,[status(thm)],[f737,f116]) ).
fof(f3493,plain,
( ~ sQ0_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2968,f840,f736]) ).
fof(f3516,plain,
( ~ sQ29_spl
| e11 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f831,f138]) ).
fof(f3517,plain,
( ~ sQ29_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f3027,f3516]) ).
fof(f3518,plain,
( ~ sQ29_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3517]) ).
fof(f3519,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f3518]) ).
fof(f3520,plain,
( ~ sQ14_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2401,f885,f781]) ).
fof(f3524,plain,
( ~ sQ44_spl
| op1(e11,e13) != e10 ),
inference(forward_demodulation,[status(thm)],[f880,f137]) ).
fof(f3531,plain,
( sQ167_spl
| ~ sQ25_spl
| h2(e11) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f818,f2330]) ).
fof(f3532,plain,
( sQ167_spl
| ~ sQ25_spl
| ~ sQ249_spl
| e21 != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f1677,f3531]) ).
fof(f3533,plain,
( sQ167_spl
| ~ sQ25_spl
| ~ sQ249_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1677,f3532]) ).
fof(f3534,plain,
( sQ167_spl
| ~ sQ25_spl
| ~ sQ249_spl
| e21 != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f301,f3533]) ).
fof(f3546,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3030,f217]) ).
fof(f3547,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f3546]) ).
fof(f3550,plain,
( ~ sQ11_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f772,f2187]) ).
fof(f3551,plain,
( ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3550]) ).
fof(f3552,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f3551]) ).
fof(f3559,plain,
( ~ sQ5_spl
| e11 != op1(e10,e12) ),
inference(forward_demodulation,[status(thm)],[f753,f143]) ).
fof(f3560,plain,
( ~ sQ5_spl
| e11 != op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f753,f123]) ).
fof(f3567,plain,
( ~ sQ9_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f766,f3559]) ).
fof(f3568,plain,
( ~ sQ9_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3567]) ).
fof(f3569,plain,
( sQ171_spl
| h2(e13) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f301,f3313]) ).
fof(f3570,plain,
( sQ171_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3569]) ).
fof(f3571,plain,
sQ171_spl,
inference(contradiction_clause,[status(thm)],[f3570]) ).
fof(f3573,plain,
( ~ sQ217_spl
| h4(op1(e12,e12)) = op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f306,f1540]) ).
fof(f3574,plain,
( ~ sQ217_spl
| h4(op1(e12,e12)) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f306,f3573]) ).
fof(f3583,plain,
( sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f297,f3318]) ).
fof(f3584,plain,
sQ148_spl,
inference(contradiction_clause,[status(thm)],[f3583]) ).
fof(f3592,plain,
( ~ sQ90_spl
| op2(e21,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f1061,f195]) ).
fof(f3593,plain,
( ~ sQ90_spl
| op2(e20,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f1061,f176]) ).
fof(f3596,plain,
( sQ308_spl
| ~ sQ90_spl
| op2(e21,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f1061,f2002]) ).
fof(f3598,plain,
( ~ sQ121_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2189,f1162]) ).
fof(f3599,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3598,f218]) ).
fof(f3600,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f3599]) ).
fof(f3603,plain,
( ~ sQ74_spl
| h1(e13) != e22 ),
inference(backward_demodulation,[status(thm)],[f1009,f2199]) ).
fof(f3606,plain,
( ~ sQ292_spl
| op2(e22,e23) = e22 ),
inference(backward_demodulation,[status(thm)],[f293,f1889]) ).
fof(f3621,plain,
( ~ sQ97_spl
| h1(e13) != e21 ),
inference(backward_demodulation,[status(thm)],[f1084,f2202]) ).
fof(f3623,plain,
( ~ sQ290_spl
| ~ sQ97_spl
| op2(e22,e21) = e20 ),
inference(backward_demodulation,[status(thm)],[f1084,f1881]) ).
fof(f3629,plain,
op2(e23,e20) != e21,
inference(forward_demodulation,[status(thm)],[f2980,f2219]) ).
fof(f3642,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1136,f3629]) ).
fof(f3643,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f3642]) ).
fof(f3645,plain,
( ~ sQ71_spl
| e23 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f999,f192]) ).
fof(f3650,plain,
op2(e20,e23) != e21,
inference(forward_demodulation,[status(thm)],[f2980,f2222]) ).
fof(f3654,plain,
( ~ sQ90_spl
| e22 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1061,f199]) ).
fof(f3666,plain,
( ~ sQ110_spl
| ~ sQ108_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1120,f1126]) ).
fof(f3667,plain,
( ~ sQ110_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3666,f219]) ).
fof(f3668,plain,
( ~ sQ110_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f3667]) ).
fof(f3672,plain,
( sQ199_spl
| ~ sQ206_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f3441,f1174,f1505,f1481]) ).
fof(f3675,plain,
( sQ153_spl
| h1(e11) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3027,f1337]) ).
fof(f3684,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f737,f743]) ).
fof(f3685,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3684,f213]) ).
fof(f3686,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f3685]) ).
fof(f3694,plain,
( sQ196_spl
| ~ sQ50_spl
| h3(e12) != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f899,f2298]) ).
fof(f3695,plain,
( sQ219_spl
| ~ sQ50_spl
| e23 != op2(h4(e13),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f306,f2411]) ).
fof(f3696,plain,
( sQ219_spl
| ~ sQ50_spl
| e23 != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2980,f3695]) ).
fof(f3700,plain,
( sQ173_spl
| ~ sQ50_spl
| e21 != op2(h2(e13),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f298,f2410]) ).
fof(f3715,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3470,f218]) ).
fof(f3716,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f3715]) ).
fof(f3717,plain,
( ~ sQ67_spl
| sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3170,f1361]) ).
fof(f3718,plain,
( ~ sQ67_spl
| sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f3717]) ).
fof(f3724,plain,
( sQ304_spl
| ~ sQ28_spl
| op1(e11,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f828,f1983]) ).
fof(f3728,plain,
( ~ sQ175_spl
| h2(e10) = op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f298,f3291]) ).
fof(f3733,plain,
( ~ sQ221_spl
| ~ sQ276_spl
| e22 = op2(h4(e13),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1792,f3294]) ).
fof(f3734,plain,
( ~ sQ221_spl
| ~ sQ276_spl
| e22 = op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2980,f3733]) ).
fof(f3735,plain,
( ~ sQ221_spl
| ~ sQ276_spl
| e22 = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f306,f3734]) ).
fof(f3736,plain,
( ~ sQ221_spl
| ~ sQ276_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3735,f3654]) ).
fof(f3737,plain,
( ~ sQ221_spl
| ~ sQ276_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f3736]) ).
fof(f3747,plain,
( sQ309_spl
| op2(e21,h4(e10)) != e23 ),
inference(backward_demodulation,[status(thm)],[f3750,f2006]) ).
fof(f3748,plain,
h2(e13) != h4(e10),
inference(backward_demodulation,[status(thm)],[f3750,f2206]) ).
fof(f3750,plain,
h4(e10) = op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f2980,f2216]) ).
fof(f3754,plain,
( ~ sQ81_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f3229,f1083,f1031]) ).
fof(f3757,plain,
( sQ131_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3211,f898,f1245]) ).
fof(f3791,plain,
( ~ sQ132_spl
| op1(e13,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f3027,f1250]) ).
fof(f3798,plain,
( sQ287_spl
| op1(e12,e13) != e12 ),
inference(backward_demodulation,[status(thm)],[f290,f1867]) ).
fof(f3832,plain,
( sQ218_spl
| h4(op1(e12,e13)) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2980,f2278]) ).
fof(f3844,plain,
( ~ sQ171_spl
| h2(e13) = op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f290,f1394]) ).
fof(f3845,plain,
( ~ sQ171_spl
| h2(e13) = op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f298,f3844]) ).
fof(f3846,plain,
( ~ sQ171_spl
| h2(e13) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f298,f3845]) ).
fof(f3847,plain,
( ~ sQ171_spl
| ~ sQ85_spl
| h2(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f1045,f3846]) ).
fof(f3848,plain,
( ~ sQ171_spl
| ~ sQ85_spl
| sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3847,f1686]) ).
fof(f3849,plain,
( ~ sQ171_spl
| ~ sQ85_spl
| sQ251_spl ),
inference(contradiction_clause,[status(thm)],[f3848]) ).
fof(f3851,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(backward_demodulation,[status(thm)],[f297,f2196]) ).
fof(f3862,plain,
( ~ sQ90_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f3592,f1034,f1060]) ).
fof(f3863,plain,
( ~ sQ90_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f3593,f1008,f1060]) ).
fof(f3865,plain,
( sQ308_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3596,f1060,f2000]) ).
fof(f3873,plain,
( ~ sQ292_spl
| op2(e22,e21) != e22 ),
inference(forward_demodulation,[status(thm)],[f3606,f204]) ).
fof(f3878,plain,
( ~ sQ115_spl
| ~ sQ160_spl ),
inference(split_clause,[status(thm)],[f3250,f1359,f1141]) ).
fof(f3886,plain,
( ~ sQ136_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f3482,f1151,f1282]) ).
fof(f3887,plain,
( ~ sQ135_spl
| ~ sQ118_spl
| op2(e23,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f1152,f1279]) ).
fof(f3888,plain,
( ~ sQ135_spl
| ~ sQ118_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2189,f3887]) ).
fof(f3889,plain,
( ~ sQ135_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3888,f218]) ).
fof(f3890,plain,
( ~ sQ135_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f3889]) ).
fof(f3894,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2264,f212]) ).
fof(f3895,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f3894]) ).
fof(f3898,plain,
( sQ184_spl
| h3(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f297,f2322]) ).
fof(f3900,plain,
h4(e11) = op2(op2(e23,e23),e21),
inference(forward_demodulation,[status(thm)],[f2980,f2215]) ).
fof(f3901,plain,
( ~ sQ217_spl
| h4(e13) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f290,f3574]) ).
fof(f3902,plain,
( ~ sQ217_spl
| h4(e11) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f3904,f3900]) ).
fof(f3904,plain,
( ~ sQ217_spl
| e21 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f2980,f3901]) ).
fof(f3910,plain,
( ~ sQ1_spl
| e11 != op1(e10,e12) ),
inference(backward_demodulation,[status(thm)],[f740,f141]) ).
fof(f3914,plain,
( ~ sQ1_spl
| e11 != op1(e12,e10) ),
inference(backward_demodulation,[status(thm)],[f740,f117]) ).
fof(f3919,plain,
( sQ191_spl
| h3(op1(e11,e13)) != h4(e10) ),
inference(forward_demodulation,[status(thm)],[f3750,f2308]) ).
fof(f3920,plain,
( ~ sQ49_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3327,f739,f895]) ).
fof(f3927,plain,
( ~ sQ52_spl
| op1(e10,e11) != e10 ),
inference(backward_demodulation,[status(thm)],[f906,f124]) ).
fof(f3928,plain,
( ~ sQ54_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2430,f213]) ).
fof(f3929,plain,
( ~ sQ54_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3928]) ).
fof(f3931,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2408,f755,f911]) ).
fof(f3933,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2406,f898,f911]) ).
fof(f3936,plain,
( sQ195_spl
| ~ sQ44_spl
| h3(e10) != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f880,f2300]) ).
fof(f3943,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3524,f827,f879]) ).
fof(f3957,plain,
( sQ287_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f3798,f885,f1865]) ).
fof(f3978,plain,
( ~ sQ71_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f3645,f1024,f998]) ).
fof(f3985,plain,
( sQ192_spl
| ~ sQ33_spl
| h3(e11) != op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f844,f2306]) ).
fof(f3995,plain,
( ~ sQ93_spl
| h4(e10) = e21 ),
inference(backward_demodulation,[status(thm)],[f1071,f3750]) ).
fof(f4002,plain,
( ~ sQ39_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f863,f2183]) ).
fof(f4003,plain,
( ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4002]) ).
fof(f4004,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f4003]) ).
fof(f4006,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1003,f2990]) ).
fof(f4007,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f4006]) ).
fof(f4008,plain,
( sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3851,f3675]) ).
fof(f4009,plain,
sQ153_spl,
inference(contradiction_clause,[status(thm)],[f4008]) ).
fof(f4011,plain,
( ~ sQ89_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1058,f199]) ).
fof(f4012,plain,
( ~ sQ89_spl
| ~ sQ93_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1071,f4011]) ).
fof(f4013,plain,
( ~ sQ89_spl
| ~ sQ93_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4012]) ).
fof(f4014,plain,
( ~ sQ89_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f4013]) ).
fof(f4015,plain,
( ~ sQ81_spl
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1032,f195]) ).
fof(f4016,plain,
( ~ sQ81_spl
| ~ sQ89_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1058,f4015]) ).
fof(f4017,plain,
( ~ sQ81_spl
| ~ sQ89_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4016]) ).
fof(f4018,plain,
( ~ sQ81_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f4017]) ).
fof(f4042,plain,
( ~ sQ171_spl
| ~ sQ84_spl
| h2(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f1042,f3846]) ).
fof(f4047,plain,
( sQ175_spl
| h2(e10) != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f2205,f3032]) ).
fof(f4048,plain,
( sQ175_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4047]) ).
fof(f4049,plain,
sQ175_spl,
inference(contradiction_clause,[status(thm)],[f4048]) ).
fof(f4058,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f802,f805]) ).
fof(f4059,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4058,f212]) ).
fof(f4060,plain,
( ~ sQ21_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f4059]) ).
fof(f4066,plain,
( sQ293_spl
| ~ sQ110_spl
| op2(e22,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1126,f1894]) ).
fof(f4074,plain,
( sQ137_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f3220,f1154,f1286]) ).
fof(f4077,plain,
( sQ197_spl
| ~ sQ119_spl
| h3(op1(e13,e11)) != e23 ),
inference(backward_demodulation,[status(thm)],[f1155,f2296]) ).
fof(f4081,plain,
( sQ218_spl
| ~ sQ119_spl
| h4(op1(e12,e13)) != e23 ),
inference(backward_demodulation,[status(thm)],[f1155,f3832]) ).
fof(f4106,plain,
( ~ sQ70_spl
| e22 != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f996,f2211]) ).
fof(f4130,plain,
( ~ sQ291_spl
| ~ sQ102_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f2587,f1109,f1099,f1884]) ).
fof(f4132,plain,
( ~ sQ292_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3873,f1099,f1888]) ).
fof(f4133,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1097,f1100]) ).
fof(f4134,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4133,f221]) ).
fof(f4135,plain,
( ~ sQ102_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f4134]) ).
fof(f4142,plain,
( ~ sQ251_spl
| e21 != h4(e10) ),
inference(backward_demodulation,[status(thm)],[f1685,f3748]) ).
fof(f4147,plain,
( ~ sQ2_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2260,f794,f742]) ).
fof(f4149,plain,
( ~ sQ2_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2256,f768,f742]) ).
fof(f4150,plain,
( sQ221_spl
| h4(e10) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2980,f3037]) ).
fof(f4151,plain,
( sQ221_spl
| h4(e10) != h4(e10) ),
inference(forward_demodulation,[status(thm)],[f3750,f4150]) ).
fof(f4152,plain,
( sQ221_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4151]) ).
fof(f4153,plain,
sQ221_spl,
inference(contradiction_clause,[status(thm)],[f4152]) ).
fof(f4163,plain,
( sQ222_spl
| h4(e11) != op2(e21,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2980,f3389]) ).
fof(f4164,plain,
( sQ222_spl
| h4(e11) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2980,f4163]) ).
fof(f4165,plain,
( sQ222_spl
| ~ sQ217_spl
| h4(e11) != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f3902,f4164]) ).
fof(f4166,plain,
( sQ222_spl
| ~ sQ217_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4165]) ).
fof(f4167,plain,
( sQ222_spl
| ~ sQ217_spl ),
inference(contradiction_clause,[status(thm)],[f4166]) ).
fof(f4180,plain,
( ~ sQ64_spl
| h1(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f977,f297]) ).
fof(f4197,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f3369,f791,f817]) ).
fof(f4212,plain,
( ~ sQ5_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3560,f856,f752]) ).
fof(f4219,plain,
( ~ sQ70_spl
| ~ sQ68_spl
| e20 = e22 ),
inference(backward_demodulation,[status(thm)],[f990,f996]) ).
fof(f4223,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3152,f784,f758]) ).
fof(f4234,plain,
( sQ186_spl
| ~ sQ73_spl
| h3(op1(e10,e12)) != e21 ),
inference(backward_demodulation,[status(thm)],[f1006,f2318]) ).
fof(f4237,plain,
( sQ322_spl
| ~ sQ64_spl
| op2(e20,e20) != e20 ),
inference(forward_demodulation,[status(thm)],[f977,f2106]) ).
fof(f4238,plain,
( sQ322_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f977,f4237]) ).
fof(f4239,plain,
( sQ322_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4238]) ).
fof(f4240,plain,
( sQ322_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4239]) ).
fof(f4242,plain,
( sQ324_spl
| ~ sQ73_spl
| op2(e20,e21) != e22 ),
inference(forward_demodulation,[status(thm)],[f1006,f2114]) ).
fof(f4246,plain,
( ~ sQ93_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f3995,f1774,f1070]) ).
fof(f4248,plain,
( ~ sQ175_spl
| ~ sQ252_spl
| e22 = op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f1690,f3728]) ).
fof(f4249,plain,
( ~ sQ175_spl
| ~ sQ252_spl
| ~ sQ251_spl
| e22 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1685,f4248]) ).
fof(f4256,plain,
( ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f850,f2184]) ).
fof(f4257,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f4256]) ).
fof(f4272,plain,
( sQ191_spl
| ~ sQ31_spl
| h3(e13) != h4(e10) ),
inference(backward_demodulation,[status(thm)],[f837,f3919]) ).
fof(f4280,plain,
( sQ293_spl
| ~ sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f4066,f1115,f1125,f1892]) ).
fof(f4281,plain,
( ~ sQ171_spl
| ~ sQ251_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1685,f3846]) ).
fof(f4285,plain,
( sQ176_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3464]) ).
fof(f4286,plain,
sQ176_spl,
inference(contradiction_clause,[status(thm)],[f4285]) ).
fof(f4287,plain,
( ~ sQ251_spl
| h2(e11) = op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1685,f2942]) ).
fof(f4288,plain,
( ~ sQ251_spl
| h2(e11) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1685,f4287]) ).
fof(f4289,plain,
( ~ sQ251_spl
| ~ sQ171_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f4281,f4288]) ).
fof(f4290,plain,
( ~ sQ251_spl
| ~ sQ171_spl
| sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4289,f1678]) ).
fof(f4291,plain,
( ~ sQ251_spl
| ~ sQ171_spl
| sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f4290]) ).
fof(f4298,plain,
( ~ sQ96_spl
| op2(e21,e20) != e20 ),
inference(forward_demodulation,[status(thm)],[f1081,f167]) ).
fof(f4312,plain,
( ~ sQ80_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1029,f4298]) ).
fof(f4313,plain,
( ~ sQ80_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f4312]) ).
fof(f4314,plain,
( ~ sQ94_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f2342,f1060,f1073]) ).
fof(f4318,plain,
( ~ sQ94_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f2344,f1125,f1073]) ).
fof(f4319,plain,
( sQ292_spl
| op2(e22,e23) != e22 ),
inference(forward_demodulation,[status(thm)],[f293,f1890]) ).
fof(f4320,plain,
( sQ292_spl
| ~ sQ110_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1126,f4319]) ).
fof(f4321,plain,
( sQ292_spl
| ~ sQ110_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4320]) ).
fof(f4322,plain,
( sQ292_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f4321]) ).
fof(f4334,plain,
( ~ sQ290_spl
| ~ sQ97_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f3623,f1093,f1083,f1880]) ).
fof(f4342,plain,
( ~ sQ251_spl
| ~ sQ272_spl ),
inference(split_clause,[status(thm)],[f4142,f1774,f1684]) ).
fof(f4343,plain,
( ~ sQ221_spl
| h4(e10) = op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2980,f3294]) ).
fof(f4344,plain,
( ~ sQ221_spl
| h4(e10) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f306,f4343]) ).
fof(f4345,plain,
( ~ sQ222_spl
| h4(e11) = op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3027,f1555]) ).
fof(f4346,plain,
( ~ sQ222_spl
| h4(e11) = op2(e21,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2980,f4345]) ).
fof(f4347,plain,
( ~ sQ222_spl
| h4(e11) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2980,f4346]) ).
fof(f4348,plain,
( ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| h4(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f4281,f4347]) ).
fof(f4349,plain,
( ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4348,f1780]) ).
fof(f4350,plain,
( ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f4349]) ).
fof(f4357,plain,
( ~ sQ7_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f759,f140]) ).
fof(f4362,plain,
( ~ sQ66_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f2705,f1138,f982]) ).
fof(f4363,plain,
( ~ sQ66_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f2232,f1650,f982]) ).
fof(f4364,plain,
( ~ sQ0_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f3490,f788,f736]) ).
fof(f4378,plain,
( ~ sQ62_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f3027,f938]) ).
fof(f4379,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4378,f215]) ).
fof(f4380,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f4379]) ).
fof(f4381,plain,
( ~ sQ171_spl
| ~ sQ84_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f4042,f1667,f1041,f1393]) ).
fof(f4388,plain,
( ~ sQ119_spl
| op2(e20,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f1155,f172]) ).
fof(f4396,plain,
( ~ sQ13_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f779,f3252]) ).
fof(f4397,plain,
( ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4396]) ).
fof(f4398,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f4397]) ).
fof(f4401,plain,
( ~ sQ131_spl
| op1(e11,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f4402,f120]) ).
fof(f4402,plain,
( ~ sQ131_spl
| op1(e13,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f2181,f1246]) ).
fof(f4407,plain,
( sQ197_spl
| ~ sQ119_spl
| ~ sQ132_spl
| h3(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f3791,f4077]) ).
fof(f4418,plain,
( ~ sQ33_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f3285,f791,f843]) ).
fof(f4421,plain,
( sQ192_spl
| ~ sQ33_spl
| e21 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2213,f3985]) ).
fof(f4422,plain,
( sQ192_spl
| ~ sQ33_spl
| ~ sQ97_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1084,f4421]) ).
fof(f4423,plain,
( sQ192_spl
| ~ sQ33_spl
| ~ sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4422]) ).
fof(f4424,plain,
( sQ192_spl
| ~ sQ33_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f4423]) ).
fof(f4426,plain,
( ~ sQ78_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f2348,f995,f1021]) ).
fof(f4427,plain,
( ~ sQ78_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f2347,f1008,f1021]) ).
fof(f4434,plain,
( ~ sQ78_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f2349,f1125,f1021]) ).
fof(f4437,plain,
( ~ sQ65_spl
| h1(e13) = e21 ),
inference(backward_demodulation,[status(thm)],[f980,f297]) ).
fof(f4452,plain,
( ~ sQ74_spl
| ~ sQ243_spl ),
inference(split_clause,[status(thm)],[f3603,f1650,f1008]) ).
fof(f4454,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f1022,f1025]) ).
fof(f4455,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4454,f223]) ).
fof(f4456,plain,
( ~ sQ79_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f4455]) ).
fof(f4479,plain,
( ~ sQ86_spl
| ~ sQ84_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1042,f1048]) ).
fof(f4480,plain,
( ~ sQ86_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4479,f219]) ).
fof(f4481,plain,
( ~ sQ86_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f4480]) ).
fof(f4482,plain,
( ~ sQ119_spl
| op2(e22,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f1155,f175]) ).
fof(f4490,plain,
( ~ sQ222_spl
| ~ sQ273_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1779,f4347]) ).
fof(f4503,plain,
( ~ sQ171_spl
| ~ sQ222_spl
| ~ sQ273_spl
| h2(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f4490,f3846]) ).
fof(f4505,plain,
( sQ172_spl
| ~ sQ171_spl
| ~ sQ222_spl
| ~ sQ273_spl
| h2(op1(e12,e13)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4503,f2325]) ).
fof(f4506,plain,
( sQ172_spl
| ~ sQ171_spl
| ~ sQ222_spl
| ~ sQ273_spl
| h2(op1(e12,e13)) != e21 ),
inference(forward_demodulation,[status(thm)],[f4490,f4505]) ).
fof(f4525,plain,
( ~ sQ2_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2258,f898,f742]) ).
fof(f4551,plain,
( sQ190_spl
| ~ sQ26_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f302,f3300]) ).
fof(f4562,plain,
( sQ196_spl
| ~ sQ50_spl
| e22 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f302,f3694]) ).
fof(f4563,plain,
( sQ196_spl
| ~ sQ50_spl
| ~ sQ114_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1139,f4562]) ).
fof(f4564,plain,
( sQ196_spl
| ~ sQ50_spl
| ~ sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4563]) ).
fof(f4565,plain,
( sQ196_spl
| ~ sQ50_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f4564]) ).
fof(f4574,plain,
( ~ sQ64_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f4180,f1616,f976]) ).
fof(f4582,plain,
( ~ sQ119_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f4388,f998,f1154]) ).
fof(f4598,plain,
( ~ sQ65_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f4437,f1633,f979]) ).
fof(f4603,plain,
( ~ sQ87_spl
| ~ sQ255_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f1702,f2973]) ).
fof(f4604,plain,
( ~ sQ87_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4603,f223]) ).
fof(f4605,plain,
( ~ sQ87_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f4604]) ).
fof(f4609,plain,
( sQ218_spl
| ~ sQ119_spl
| ~ sQ46_spl
| h4(e12) != e23 ),
inference(backward_demodulation,[status(thm)],[f886,f4081]) ).
fof(f4612,plain,
( sQ288_spl
| ~ sQ46_spl
| op1(e12,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f886,f1871]) ).
fof(f4614,plain,
( sQ307_spl
| ~ sQ86_spl
| op2(e21,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f1048,f1998]) ).
fof(f4615,plain,
( sQ307_spl
| ~ sQ86_spl
| ~ sQ89_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1058,f4614]) ).
fof(f4616,plain,
( sQ307_spl
| ~ sQ86_spl
| ~ sQ89_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4615]) ).
fof(f4617,plain,
( sQ307_spl
| ~ sQ86_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f4616]) ).
fof(f4644,plain,
( sQ215_spl
| ~ sQ33_spl
| h4(e11) != op2(e23,h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f844,f2283]) ).
fof(f4657,plain,
( sQ208_spl
| ~ sQ222_spl
| ~ sQ171_spl
| h4(op1(e10,e11)) != op2(h4(e10),h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f4658,f1514]) ).
fof(f4658,plain,
( ~ sQ222_spl
| ~ sQ171_spl
| h4(e11) = h2(e13) ),
inference(forward_demodulation,[status(thm)],[f3846,f4347]) ).
fof(f4663,plain,
( sQ213_spl
| ~ sQ222_spl
| ~ sQ171_spl
| h4(op1(e11,e12)) != op2(h2(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f4658,f2284]) ).
fof(f4666,plain,
( sQ277_spl
| ~ sQ222_spl
| ~ sQ171_spl
| h2(e13) != e22 ),
inference(forward_demodulation,[status(thm)],[f4658,f1797]) ).
fof(f4669,plain,
( ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f3910,f765,f739]) ).
fof(f4670,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3914,f843,f739]) ).
fof(f4700,plain,
( sQ291_spl
| ~ sQ100_spl
| op2(e22,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f1094,f1886]) ).
fof(f4702,plain,
( ~ sQ100_spl
| op2(e20,e21) != e20 ),
inference(forward_demodulation,[status(thm)],[f1094,f171]) ).
fof(f4705,plain,
( ~ sQ97_spl
| sQ291_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1084,f4700]) ).
fof(f4706,plain,
( ~ sQ97_spl
| sQ291_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f4705]) ).
fof(f4707,plain,
( ~ sQ97_spl
| ~ sQ239_spl ),
inference(split_clause,[status(thm)],[f3621,f1633,f1083]) ).
fof(f4720,plain,
( ~ sQ235_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1617,f297]) ).
fof(f4721,plain,
( ~ sQ235_spl
| sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4720,f978]) ).
fof(f4722,plain,
( ~ sQ235_spl
| sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4721]) ).
fof(f4725,plain,
( ~ sQ80_spl
| h1(e13) != e20 ),
inference(forward_demodulation,[status(thm)],[f1029,f2203]) ).
fof(f4727,plain,
( sQ188_spl
| ~ sQ80_spl
| h3(op1(e11,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1029,f2314]) ).
fof(f4734,plain,
( sQ213_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| h4(op1(e11,e12)) != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f1685,f4663]) ).
fof(f4736,plain,
( ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| h4(e11) = e21 ),
inference(backward_demodulation,[status(thm)],[f1685,f4658]) ).
fof(f4737,plain,
( ~ sQ171_spl
| ~ sQ251_spl
| e21 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f1685,f3846]) ).
fof(f4743,plain,
( ~ sQ175_spl
| ~ sQ251_spl
| h2(e10) = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f1685,f3728]) ).
fof(f4746,plain,
( ~ sQ175_spl
| ~ sQ252_spl
| ~ sQ251_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f4249,f1047,f1684,f1689,f1405]) ).
fof(f4747,plain,
( sQ167_spl
| ~ sQ251_spl
| ~ sQ171_spl
| h2(op1(e11,e12)) != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4289,f2330]) ).
fof(f4757,plain,
( ~ sQ87_spl
| ~ sQ171_spl
| ~ sQ251_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f4281,f1051]) ).
fof(f4758,plain,
( ~ sQ87_spl
| ~ sQ171_spl
| ~ sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4757,f222]) ).
fof(f4759,plain,
( ~ sQ87_spl
| ~ sQ171_spl
| ~ sQ251_spl ),
inference(contradiction_clause,[status(thm)],[f4758]) ).
fof(f4769,plain,
( sQ168_spl
| ~ sQ251_spl
| ~ sQ171_spl
| h2(op1(e11,e13)) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f4289,f1386]) ).
fof(f4770,plain,
( sQ168_spl
| ~ sQ251_spl
| ~ sQ171_spl
| h2(op1(e11,e13)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1685,f4769]) ).
fof(f4771,plain,
( sQ168_spl
| ~ sQ251_spl
| ~ sQ171_spl
| h2(op1(e11,e13)) != e21 ),
inference(forward_demodulation,[status(thm)],[f4281,f4770]) ).
fof(f4774,plain,
( ~ sQ68_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f990,f4702]) ).
fof(f4775,plain,
( ~ sQ68_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f4774]) ).
fof(f4776,plain,
( ~ sQ68_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f2684,f1667,f989]) ).
fof(f4777,plain,
( ~ sQ70_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4219,f219]) ).
fof(f4778,plain,
( ~ sQ70_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f4777]) ).
fof(f4787,plain,
( sQ324_spl
| ~ sQ73_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f4242,f995,f1005,f2112]) ).
fof(f4788,plain,
( ~ sQ70_spl
| ~ sQ255_spl ),
inference(split_clause,[status(thm)],[f4106,f1701,f995]) ).
fof(f4793,plain,
( sQ195_spl
| ~ sQ44_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2212,f3936]) ).
fof(f4800,plain,
( sQ218_spl
| ~ sQ119_spl
| ~ sQ44_spl
| h4(e10) != e23 ),
inference(backward_demodulation,[status(thm)],[f880,f4081]) ).
fof(f4805,plain,
( ~ sQ131_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4401,f794,f1245]) ).
fof(f4806,plain,
( ~ sQ131_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f4402,f898,f1245]) ).
fof(f4812,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2399,f768,f781]) ).
fof(f4813,plain,
( sQ286_spl
| ~ sQ37_spl
| op1(e12,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f857,f1863]) ).
fof(f4817,plain,
( sQ170_spl
| ~ sQ37_spl
| h2(e11) != op2(e21,h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f857,f2328]) ).
fof(f4821,plain,
( ~ sQ37_spl
| e11 != op1(e13,e11) ),
inference(backward_demodulation,[status(thm)],[f857,f127]) ).
fof(f4836,plain,
( sQ322_spl
| ~ sQ67_spl
| op2(e20,e23) != e20 ),
inference(backward_demodulation,[status(thm)],[f986,f2106]) ).
fof(f4844,plain,
( sQ187_spl
| ~ sQ14_spl
| h3(e12) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f782,f2316]) ).
fof(f4845,plain,
( sQ187_spl
| ~ sQ14_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f302,f4844]) ).
fof(f4848,plain,
( ~ sQ221_spl
| ~ sQ95_spl
| h4(e10) = e23 ),
inference(backward_demodulation,[status(thm)],[f1077,f4344]) ).
fof(f4849,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f3650]) ).
fof(f4850,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f4849]) ).
fof(f4855,plain,
( ~ sQ67_spl
| h1(e11) = op2(e23,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3170,f3851]) ).
fof(f4856,plain,
( ~ sQ67_spl
| h1(e11) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3170,f4855]) ).
fof(f4858,plain,
( ~ sQ67_spl
| ~ sQ217_spl
| h1(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f3904,f4856]) ).
fof(f4867,plain,
( ~ sQ67_spl
| h1(e10) = op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f3170,f2197]) ).
fof(f4868,plain,
( ~ sQ67_spl
| ~ sQ114_spl
| h1(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f1139,f4867]) ).
fof(f4894,plain,
( ~ sQ80_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f4725,f1616,f1028]) ).
fof(f4898,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3054,f914,f758]) ).
fof(f4903,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f4357,f745,f758]) ).
fof(f4915,plain,
( sQ191_spl
| ~ sQ31_spl
| ~ sQ206_spl
| e23 != h4(e10) ),
inference(forward_demodulation,[status(thm)],[f1506,f4272]) ).
fof(f4931,plain,
( ~ sQ221_spl
| ~ sQ95_spl
| sQ191_spl
| ~ sQ31_spl
| ~ sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4848,f4915]) ).
fof(f4932,plain,
( ~ sQ221_spl
| ~ sQ95_spl
| sQ191_spl
| ~ sQ31_spl
| ~ sQ206_spl ),
inference(contradiction_clause,[status(thm)],[f4931]) ).
fof(f4941,plain,
( ~ sQ3_spl
| e13 != op1(e11,e10) ),
inference(backward_demodulation,[status(thm)],[f746,f116]) ).
fof(f4957,plain,
( sQ237_spl
| ~ sQ67_spl
| ~ sQ217_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4858,f1627]) ).
fof(f4958,plain,
( sQ237_spl
| ~ sQ67_spl
| ~ sQ217_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4957]) ).
fof(f4959,plain,
( sQ237_spl
| ~ sQ67_spl
| ~ sQ217_spl ),
inference(contradiction_clause,[status(thm)],[f4958]) ).
fof(f4969,plain,
( sQ197_spl
| ~ sQ119_spl
| ~ sQ132_spl
| ~ sQ206_spl ),
inference(split_clause,[status(thm)],[f4407,f1505,f1249,f1154,f1475]) ).
fof(f4973,plain,
( sQ186_spl
| ~ sQ73_spl
| ~ sQ9_spl
| h3(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f766,f4234]) ).
fof(f4974,plain,
( sQ163_spl
| ~ sQ9_spl
| h2(e11) != op2(h2(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f766,f2331]) ).
fof(f4977,plain,
( sQ209_spl
| ~ sQ9_spl
| h4(e11) != op2(h4(e10),e23) ),
inference(backward_demodulation,[status(thm)],[f766,f2285]) ).
fof(f4988,plain,
( ~ sQ26_spl
| op1(e11,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f821,f147]) ).
fof(f4989,plain,
( sQ190_spl
| ~ sQ26_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f4551,f1060,f820,f1454]) ).
fof(f4992,plain,
( ~ sQ322_spl
| ~ sQ67_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f3184,f1015,f985,f2104]) ).
fof(f4993,plain,
( ~ sQ119_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f4482,f1102,f1154]) ).
fof(f5016,plain,
( sQ208_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ221_spl
| ~ sQ95_spl
| h4(op1(e10,e11)) != op2(e23,h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f4848,f4657]) ).
fof(f5030,plain,
( sQ169_spl
| ~ sQ32_spl
| h2(e10) != op2(e21,h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f841,f2329]) ).
fof(f5055,plain,
( sQ144_spl
| ~ sQ26_spl
| h1(e12) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f821,f2339]) ).
fof(f5056,plain,
( sQ144_spl
| ~ sQ26_spl
| e20 != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f294,f5055]) ).
fof(f5057,plain,
( sQ144_spl
| ~ sQ26_spl
| ~ sQ67_spl
| ~ sQ217_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f4858,f5056]) ).
fof(f5073,plain,
( sQ140_spl
| ~ sQ9_spl
| h1(e11) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f766,f2340]) ).
fof(f5074,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ67_spl
| ~ sQ217_spl
| e21 != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f4858,f5073]) ).
fof(f5075,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ67_spl
| ~ sQ217_spl
| ~ sQ114_spl
| e21 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f4868,f5074]) ).
fof(f5076,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ67_spl
| ~ sQ217_spl
| ~ sQ114_spl
| ~ sQ97_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1084,f5075]) ).
fof(f5077,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ67_spl
| ~ sQ217_spl
| ~ sQ114_spl
| ~ sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5076]) ).
fof(f5078,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ67_spl
| ~ sQ217_spl
| ~ sQ114_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f5077]) ).
fof(f5079,plain,
( sQ139_spl
| ~ sQ67_spl
| ~ sQ114_spl
| h1(op1(e10,e11)) != op2(e22,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f4868,f1295]) ).
fof(f5080,plain,
( sQ139_spl
| ~ sQ67_spl
| ~ sQ114_spl
| ~ sQ217_spl
| h1(op1(e10,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f4858,f5079]) ).
fof(f5081,plain,
( sQ139_spl
| ~ sQ67_spl
| ~ sQ114_spl
| ~ sQ217_spl
| ~ sQ102_spl
| h1(op1(e10,e11)) != e22 ),
inference(forward_demodulation,[status(thm)],[f1100,f5080]) ).
fof(f5084,plain,
( sQ226_spl
| ~ sQ221_spl
| ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4848,f1568]) ).
fof(f5085,plain,
( sQ226_spl
| ~ sQ221_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5084]) ).
fof(f5086,plain,
( sQ226_spl
| ~ sQ221_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f5085]) ).
fof(f5090,plain,
( sQ213_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ26_spl
| h4(e12) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f821,f4734]) ).
fof(f5091,plain,
( sQ213_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ26_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f306,f5090]) ).
fof(f5092,plain,
( sQ213_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ26_spl
| ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1077,f5091]) ).
fof(f5093,plain,
( sQ213_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ26_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5092]) ).
fof(f5094,plain,
( sQ213_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ26_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f5093]) ).
fof(f5104,plain,
( sQ162_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| h2(op1(e10,e11)) != op2(e21,h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f5110,f1368]) ).
fof(f5105,plain,
( sQ164_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| h2(op1(e10,e13)) != op2(e21,h2(e13)) ),
inference(backward_demodulation,[status(thm)],[f5110,f1374]) ).
fof(f5110,plain,
( ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| h2(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f4737,f4743]) ).
fof(f5133,plain,
( sQ167_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ26_spl
| h2(e12) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f821,f4747]) ).
fof(f5134,plain,
( sQ167_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ26_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f298,f5133]) ).
fof(f5135,plain,
( sQ167_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ26_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4737,f5134]) ).
fof(f5136,plain,
( sQ167_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5135]) ).
fof(f5137,plain,
( sQ167_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f5136]) ).
fof(f5146,plain,
( sQ218_spl
| ~ sQ119_spl
| ~ sQ46_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f4609,f1574,f885,f1154,f1542]) ).
fof(f5157,plain,
( sQ288_spl
| ~ sQ46_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f4612,f875,f885,f1869]) ).
fof(f5158,plain,
( sQ193_spl
| ~ sQ102_spl
| h3(op1(e12,e11)) != e22 ),
inference(forward_demodulation,[status(thm)],[f1100,f2304]) ).
fof(f5167,plain,
( sQ184_spl
| ~ sQ67_spl
| h3(op1(e10,e10)) != e23 ),
inference(forward_demodulation,[status(thm)],[f3170,f3898]) ).
fof(f5178,plain,
( sQ185_spl
| ~ sQ68_spl
| h3(op1(e10,e11)) != e20 ),
inference(backward_demodulation,[status(thm)],[f990,f2320]) ).
fof(f5195,plain,
( ~ sQ249_spl
| ~ sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2633,f218]) ).
fof(f5196,plain,
( ~ sQ249_spl
| ~ sQ245_spl ),
inference(contradiction_clause,[status(thm)],[f5195]) ).
fof(f5203,plain,
( ~ sQ249_spl
| ~ sQ251_spl
| e21 = op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1685,f3425]) ).
fof(f5205,plain,
( ~ sQ249_spl
| ~ sQ251_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1685,f5203]) ).
fof(f5225,plain,
( sQ172_spl
| ~ sQ171_spl
| ~ sQ222_spl
| ~ sQ273_spl
| ~ sQ46_spl
| h2(e12) != e21 ),
inference(forward_demodulation,[status(thm)],[f886,f4506]) ).
fof(f5226,plain,
( sQ172_spl
| ~ sQ171_spl
| ~ sQ222_spl
| ~ sQ273_spl
| ~ sQ46_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f298,f5225]) ).
fof(f5227,plain,
( sQ172_spl
| ~ sQ171_spl
| ~ sQ222_spl
| ~ sQ273_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5226]) ).
fof(f5228,plain,
( sQ172_spl
| ~ sQ171_spl
| ~ sQ222_spl
| ~ sQ273_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f5227]) ).
fof(f5232,plain,
( ~ sQ324_spl
| ~ sQ73_spl
| op2(e20,e21) = e22 ),
inference(forward_demodulation,[status(thm)],[f1006,f2113]) ).
fof(f5233,plain,
( ~ sQ324_spl
| ~ sQ73_spl
| ~ sQ68_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f990,f5232]) ).
fof(f5234,plain,
( ~ sQ324_spl
| ~ sQ73_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5233,f219]) ).
fof(f5235,plain,
( ~ sQ324_spl
| ~ sQ73_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f5234]) ).
fof(f5236,plain,
( sQ248_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5110,f1674]) ).
fof(f5237,plain,
( sQ248_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5236]) ).
fof(f5238,plain,
( sQ248_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f5237]) ).
fof(f5239,plain,
( sQ309_spl
| ~ sQ221_spl
| ~ sQ95_spl
| op2(e21,e23) != e23 ),
inference(forward_demodulation,[status(thm)],[f4848,f3747]) ).
fof(f5240,plain,
( sQ309_spl
| ~ sQ221_spl
| ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1077,f5239]) ).
fof(f5241,plain,
( sQ309_spl
| ~ sQ221_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5240]) ).
fof(f5242,plain,
( sQ309_spl
| ~ sQ221_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f5241]) ).
fof(f5246,plain,
( ~ sQ80_spl
| sQ144_spl
| ~ sQ26_spl
| ~ sQ67_spl
| ~ sQ217_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1029,f5057]) ).
fof(f5247,plain,
( ~ sQ80_spl
| sQ144_spl
| ~ sQ26_spl
| ~ sQ67_spl
| ~ sQ217_spl ),
inference(contradiction_clause,[status(thm)],[f5246]) ).
fof(f5255,plain,
( ~ sQ12_spl
| op1(e10,e11) != e10 ),
inference(backward_demodulation,[status(thm)],[f776,f144]) ).
fof(f5259,plain,
( ~ sQ67_spl
| ~ sQ323_spl
| ~ sQ68_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f5260,f986]) ).
fof(f5260,plain,
( ~ sQ323_spl
| ~ sQ68_spl
| op2(e20,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f990,f2109]) ).
fof(f5264,plain,
( ~ sQ325_spl
| ~ sQ78_spl
| op2(e20,e22) = e23 ),
inference(backward_demodulation,[status(thm)],[f1022,f2117]) ).
fof(f5270,plain,
( sQ208_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ221_spl
| ~ sQ95_spl
| ~ sQ251_spl
| h4(op1(e10,e11)) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1685,f5016]) ).
fof(f5271,plain,
( sQ208_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ221_spl
| ~ sQ95_spl
| ~ sQ251_spl
| ~ sQ119_spl
| h4(op1(e10,e11)) != e23 ),
inference(forward_demodulation,[status(thm)],[f1155,f5270]) ).
fof(f5283,plain,
( sQ162_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ249_spl
| h2(op1(e10,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1677,f5104]) ).
fof(f5284,plain,
( sQ162_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ249_spl
| h2(op1(e10,e11)) != e21 ),
inference(forward_demodulation,[status(thm)],[f5205,f5283]) ).
fof(f5349,plain,
( ~ sQ3_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f4941,f797,f745]) ).
fof(f5359,plain,
( sQ184_spl
| ~ sQ67_spl
| ~ sQ3_spl
| h3(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f746,f5167]) ).
fof(f5362,plain,
( sQ218_spl
| ~ sQ119_spl
| ~ sQ44_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f4800,f1566,f879,f1154,f1542]) ).
fof(f5364,plain,
( sQ146_spl
| ~ sQ33_spl
| ~ sQ67_spl
| ~ sQ217_spl
| e21 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f4858,f3276]) ).
fof(f5365,plain,
( sQ146_spl
| ~ sQ33_spl
| ~ sQ67_spl
| ~ sQ217_spl
| ~ sQ114_spl
| e21 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f4868,f5364]) ).
fof(f5366,plain,
( sQ146_spl
| ~ sQ33_spl
| ~ sQ67_spl
| ~ sQ217_spl
| ~ sQ114_spl
| ~ sQ73_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1006,f5365]) ).
fof(f5367,plain,
( sQ146_spl
| ~ sQ33_spl
| ~ sQ67_spl
| ~ sQ217_spl
| ~ sQ114_spl
| ~ sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5366]) ).
fof(f5368,plain,
( sQ146_spl
| ~ sQ33_spl
| ~ sQ67_spl
| ~ sQ217_spl
| ~ sQ114_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f5367]) ).
fof(f5415,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f893,f3142]) ).
fof(f5416,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f5415]) ).
fof(f5417,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f776,f785]) ).
fof(f5418,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5417,f214]) ).
fof(f5419,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f5418]) ).
fof(f5435,plain,
( ~ sQ22_spl
| op1(e10,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f808,f122]) ).
fof(f5458,plain,
( sQ167_spl
| ~ sQ25_spl
| ~ sQ249_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f3534,f1684,f1676,f817,f1381]) ).
fof(f5463,plain,
( ~ sQ12_spl
| op1(e10,e12) != e10 ),
inference(forward_demodulation,[status(thm)],[f776,f145]) ).
fof(f5496,plain,
( ~ sQ10_spl
| op1(e10,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f769,f143]) ).
fof(f5499,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f763,f5463]) ).
fof(f5500,plain,
( ~ sQ8_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f5499]) ).
fof(f5505,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f5255,f749,f775]) ).
fof(f5506,plain,
( ~ sQ67_spl
| ~ sQ323_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5259,f222]) ).
fof(f5507,plain,
( ~ sQ67_spl
| ~ sQ323_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f5506]) ).
fof(f5508,plain,
( ~ sQ325_spl
| ~ sQ78_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f5264,f1011,f1021,f2116]) ).
fof(f5557,plain,
( sQ286_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f4813,f856,f1861]) ).
fof(f5558,plain,
( sQ170_spl
| ~ sQ37_spl
| ~ sQ249_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1677,f4817]) ).
fof(f5559,plain,
( sQ170_spl
| ~ sQ37_spl
| ~ sQ249_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1677,f5558]) ).
fof(f5567,plain,
( ~ sQ37_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f4821,f908,f856]) ).
fof(f5604,plain,
( sQ219_spl
| ~ sQ50_spl
| ~ sQ221_spl
| ~ sQ95_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f4848,f3696]) ).
fof(f5605,plain,
( sQ219_spl
| ~ sQ50_spl
| ~ sQ221_spl
| ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1077,f5604]) ).
fof(f5606,plain,
( sQ219_spl
| ~ sQ50_spl
| ~ sQ221_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5605]) ).
fof(f5607,plain,
( sQ219_spl
| ~ sQ50_spl
| ~ sQ221_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f5606]) ).
fof(f5608,plain,
( sQ301_spl
| ~ sQ16_spl
| op1(e11,e10) != e10 ),
inference(forward_demodulation,[status(thm)],[f789,f1971]) ).
fof(f5609,plain,
( sQ301_spl
| ~ sQ16_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f789,f5608]) ).
fof(f5610,plain,
( sQ301_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5609]) ).
fof(f5611,plain,
( sQ301_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f5610]) ).
fof(f5614,plain,
( sQ169_spl
| ~ sQ32_spl
| ~ sQ248_spl
| e21 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1673,f5030]) ).
fof(f5615,plain,
( sQ169_spl
| ~ sQ32_spl
| ~ sQ248_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1673,f5614]) ).
fof(f5632,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2266,f213]) ).
fof(f5633,plain,
( ~ sQ22_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f5632]) ).
fof(f5648,plain,
( ~ sQ22_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5435,f755,f807]) ).
fof(f5656,plain,
( ~ sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5496,f755,f768]) ).
fof(f5658,plain,
( ~ sQ167_spl
| ~ sQ25_spl
| h2(e11) = op2(h2(e11),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f818,f1382]) ).
fof(f5659,plain,
( ~ sQ167_spl
| ~ sQ25_spl
| ~ sQ249_spl
| e21 = op2(h2(e11),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1677,f5658]) ).
fof(f5660,plain,
( ~ sQ167_spl
| ~ sQ25_spl
| ~ sQ249_spl
| e21 = op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1677,f5659]) ).
fof(f5661,plain,
( ~ sQ167_spl
| ~ sQ25_spl
| ~ sQ249_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f298,f5660]) ).
fof(f5670,plain,
( ~ sQ293_spl
| ~ sQ108_spl
| op2(e22,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f1120,f1893]) ).
fof(f5671,plain,
( ~ sQ293_spl
| ~ sQ108_spl
| ~ sQ97_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1084,f5670]) ).
fof(f5672,plain,
( ~ sQ293_spl
| ~ sQ108_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5671,f222]) ).
fof(f5673,plain,
( ~ sQ293_spl
| ~ sQ108_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f5672]) ).
fof(f5696,plain,
( sQ169_spl
| ~ sQ32_spl
| ~ sQ248_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f5615,f1044,f1672,f840,f1387]) ).
fof(f5697,plain,
( sQ170_spl
| ~ sQ37_spl
| ~ sQ249_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f5559,f1044,f1676,f856,f1390]) ).
fof(f5712,plain,
( sQ164_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ15_spl
| h2(e13) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f785,f5105]) ).
fof(f5713,plain,
( sQ164_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ15_spl
| e21 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1685,f5712]) ).
fof(f5714,plain,
( sQ164_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ15_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1685,f5713]) ).
fof(f5715,plain,
( sQ164_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ15_spl
| ~ sQ167_spl
| ~ sQ25_spl
| ~ sQ249_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5661,f5714]) ).
fof(f5716,plain,
( sQ164_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ15_spl
| ~ sQ167_spl
| ~ sQ25_spl
| ~ sQ249_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5715]) ).
fof(f5717,plain,
( sQ164_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ15_spl
| ~ sQ167_spl
| ~ sQ25_spl
| ~ sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f5716]) ).
fof(f5734,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f808,f811]) ).
fof(f5735,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5734,f217]) ).
fof(f5736,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f5735]) ).
fof(f5763,plain,
( sQ173_spl
| ~ sQ50_spl
| ~ sQ251_spl
| e21 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1685,f3700]) ).
fof(f5764,plain,
( sQ173_spl
| ~ sQ50_spl
| ~ sQ251_spl
| ~ sQ248_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1673,f5763]) ).
fof(f5770,plain,
( sQ150_spl
| ~ sQ50_spl
| ~ sQ67_spl
| e20 != op2(e23,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3170,f2784]) ).
fof(f5771,plain,
( sQ150_spl
| ~ sQ50_spl
| ~ sQ67_spl
| ~ sQ114_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f4868,f5770]) ).
fof(f5772,plain,
( sQ150_spl
| ~ sQ50_spl
| ~ sQ67_spl
| ~ sQ114_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2189,f5771]) ).
fof(f5773,plain,
( sQ150_spl
| ~ sQ50_spl
| ~ sQ67_spl
| ~ sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5772]) ).
fof(f5774,plain,
( sQ150_spl
| ~ sQ50_spl
| ~ sQ67_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f5773]) ).
fof(f5809,plain,
( sQ304_spl
| ~ sQ28_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f3724,f797,f827,f1981]) ).
fof(f5820,plain,
( sQ168_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ28_spl
| h2(e10) != e21 ),
inference(backward_demodulation,[status(thm)],[f828,f4771]) ).
fof(f5867,plain,
( sQ185_spl
| ~ sQ68_spl
| ~ sQ4_spl
| h3(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f750,f5178]) ).
fof(f5868,plain,
( sQ162_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ249_spl
| ~ sQ4_spl
| h2(e10) != e21 ),
inference(backward_demodulation,[status(thm)],[f750,f5284]) ).
fof(f5869,plain,
( sQ208_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ221_spl
| ~ sQ95_spl
| ~ sQ251_spl
| ~ sQ119_spl
| ~ sQ4_spl
| h4(e10) != e23 ),
inference(backward_demodulation,[status(thm)],[f750,f5271]) ).
fof(f5870,plain,
( sQ139_spl
| ~ sQ67_spl
| ~ sQ114_spl
| ~ sQ217_spl
| ~ sQ102_spl
| ~ sQ4_spl
| h1(e10) != e22 ),
inference(backward_demodulation,[status(thm)],[f750,f5081]) ).
fof(f5875,plain,
( ~ sQ52_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3927,f749,f905]) ).
fof(f5885,plain,
( ~ sQ248_spl
| ~ sQ244_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2634,f218]) ).
fof(f5886,plain,
( ~ sQ248_spl
| ~ sQ244_spl ),
inference(contradiction_clause,[status(thm)],[f5885]) ).
fof(f5923,plain,
( sQ168_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ28_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f5820,f1672,f827,f1393,f1684,f1384]) ).
fof(f5938,plain,
( sQ320_spl
| ~ sQ15_spl
| op1(e10,e13) != e13 ),
inference(forward_demodulation,[status(thm)],[f785,f2095]) ).
fof(f5939,plain,
( sQ320_spl
| ~ sQ15_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f785,f5938]) ).
fof(f5940,plain,
( sQ320_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5939]) ).
fof(f5941,plain,
( sQ320_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f5940]) ).
fof(f5945,plain,
( sQ215_spl
| ~ sQ33_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| e21 != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f4736,f4644]) ).
fof(f5946,plain,
( sQ215_spl
| ~ sQ33_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ221_spl
| ~ sQ95_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4848,f5945]) ).
fof(f5947,plain,
( sQ215_spl
| ~ sQ33_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ221_spl
| ~ sQ95_spl
| ~ sQ217_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3904,f5946]) ).
fof(f5948,plain,
( sQ215_spl
| ~ sQ33_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ221_spl
| ~ sQ95_spl
| ~ sQ217_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5947]) ).
fof(f5949,plain,
( sQ215_spl
| ~ sQ33_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ221_spl
| ~ sQ95_spl
| ~ sQ217_spl ),
inference(contradiction_clause,[status(thm)],[f5948]) ).
fof(f5980,plain,
( sQ173_spl
| ~ sQ50_spl
| ~ sQ251_spl
| ~ sQ248_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f5764,f1044,f1672,f1684,f898,f1399]) ).
fof(f6014,plain,
( sQ185_spl
| ~ sQ68_spl
| ~ sQ4_spl
| ~ sQ256_spl ),
inference(split_clause,[status(thm)],[f5867,f1706,f749,f989,f1439]) ).
fof(f6015,plain,
( sQ162_spl
| ~ sQ175_spl
| ~ sQ251_spl
| ~ sQ171_spl
| ~ sQ249_spl
| ~ sQ4_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f5868,f1672,f749,f1676,f1393,f1684,f1405,f1366]) ).
fof(f6016,plain,
( sQ208_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ221_spl
| ~ sQ95_spl
| ~ sQ251_spl
| ~ sQ119_spl
| ~ sQ4_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f5869,f1566,f749,f1154,f1684,f1076,f1551,f1393,f1554,f1512]) ).
fof(f6017,plain,
( sQ139_spl
| ~ sQ67_spl
| ~ sQ114_spl
| ~ sQ217_spl
| ~ sQ102_spl
| ~ sQ4_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f5870,f1638,f749,f1099,f1539,f1138,f985,f1293]) ).
fof(f6025,plain,
( ~ sQ4_spl
| e10 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f750,f123]) ).
fof(f6031,plain,
( sQ172_spl
| ~ sQ44_spl
| ~ sQ248_spl
| e21 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1673,f3265]) ).
fof(f6032,plain,
( sQ172_spl
| ~ sQ44_spl
| ~ sQ248_spl
| ~ sQ251_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1685,f6031]) ).
fof(f6033,plain,
( sQ172_spl
| ~ sQ44_spl
| ~ sQ248_spl
| ~ sQ251_spl
| ~ sQ249_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5205,f6032]) ).
fof(f6034,plain,
( sQ172_spl
| ~ sQ44_spl
| ~ sQ248_spl
| ~ sQ251_spl
| ~ sQ249_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6033]) ).
fof(f6035,plain,
( sQ172_spl
| ~ sQ44_spl
| ~ sQ248_spl
| ~ sQ251_spl
| ~ sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f6034]) ).
fof(f6036,plain,
( sQ163_spl
| ~ sQ9_spl
| ~ sQ249_spl
| e21 != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f1677,f4974]) ).
fof(f6037,plain,
( sQ163_spl
| ~ sQ9_spl
| ~ sQ249_spl
| ~ sQ248_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1673,f6036]) ).
fof(f6038,plain,
( sQ163_spl
| ~ sQ9_spl
| ~ sQ249_spl
| ~ sQ248_spl
| ~ sQ251_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5205,f6037]) ).
fof(f6039,plain,
( sQ163_spl
| ~ sQ9_spl
| ~ sQ249_spl
| ~ sQ248_spl
| ~ sQ251_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6038]) ).
fof(f6040,plain,
( sQ163_spl
| ~ sQ9_spl
| ~ sQ249_spl
| ~ sQ248_spl
| ~ sQ251_spl ),
inference(contradiction_clause,[status(thm)],[f6039]) ).
fof(f6054,plain,
( sQ186_spl
| ~ sQ73_spl
| ~ sQ9_spl
| ~ sQ261_spl ),
inference(split_clause,[status(thm)],[f4973,f1727,f765,f1005,f1442]) ).
fof(f6056,plain,
( sQ209_spl
| ~ sQ9_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| e21 != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f4736,f4977]) ).
fof(f6057,plain,
( sQ209_spl
| ~ sQ9_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ221_spl
| ~ sQ95_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4848,f6056]) ).
fof(f6058,plain,
( sQ209_spl
| ~ sQ9_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ221_spl
| ~ sQ95_spl
| ~ sQ217_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3904,f6057]) ).
fof(f6059,plain,
( sQ209_spl
| ~ sQ9_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ221_spl
| ~ sQ95_spl
| ~ sQ217_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6058]) ).
fof(f6060,plain,
( sQ209_spl
| ~ sQ9_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ251_spl
| ~ sQ221_spl
| ~ sQ95_spl
| ~ sQ217_spl ),
inference(contradiction_clause,[status(thm)],[f6059]) ).
fof(f6079,plain,
( sQ184_spl
| ~ sQ67_spl
| ~ sQ3_spl
| ~ sQ206_spl ),
inference(split_clause,[status(thm)],[f5359,f1505,f745,f985,f1436]) ).
fof(f6098,plain,
( sQ189_spl
| ~ sQ21_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2213,f3081]) ).
fof(f6099,plain,
( sQ189_spl
| ~ sQ21_spl
| ~ sQ249_spl
| ~ sQ251_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f5205,f6098]) ).
fof(f6100,plain,
( sQ189_spl
| ~ sQ21_spl
| ~ sQ249_spl
| ~ sQ251_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6099]) ).
fof(f6101,plain,
( sQ189_spl
| ~ sQ21_spl
| ~ sQ249_spl
| ~ sQ251_spl ),
inference(contradiction_clause,[status(thm)],[f6100]) ).
fof(f6119,plain,
( ~ sQ44_spl
| op1(e12,e11) != e10 ),
inference(backward_demodulation,[status(thm)],[f880,f156]) ).
fof(f6120,plain,
( sQ149_spl
| ~ sQ44_spl
| ~ sQ67_spl
| ~ sQ114_spl
| e22 != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f4868,f3264]) ).
fof(f6121,plain,
( sQ149_spl
| ~ sQ44_spl
| ~ sQ67_spl
| ~ sQ114_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3170,f6120]) ).
fof(f6122,plain,
( sQ149_spl
| ~ sQ44_spl
| ~ sQ67_spl
| ~ sQ114_spl
| ~ sQ78_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1022,f6121]) ).
fof(f6123,plain,
( sQ149_spl
| ~ sQ44_spl
| ~ sQ67_spl
| ~ sQ114_spl
| ~ sQ78_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6122]) ).
fof(f6124,plain,
( sQ149_spl
| ~ sQ44_spl
| ~ sQ67_spl
| ~ sQ114_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f6123]) ).
fof(f6125,plain,
( sQ195_spl
| ~ sQ44_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f4793,f1119,f879,f1469]) ).
fof(f6130,plain,
( sQ188_spl
| ~ sQ80_spl
| ~ sQ16_spl
| h3(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f789,f4727]) ).
fof(f6168,plain,
( sQ193_spl
| ~ sQ102_spl
| ~ sQ38_spl
| h3(e12) != e22 ),
inference(backward_demodulation,[status(thm)],[f860,f5158]) ).
fof(f6212,plain,
( sQ187_spl
| ~ sQ14_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f4845,f1021,f781,f1445]) ).
fof(f6256,plain,
( sQ240_spl
| ~ sQ67_spl
| ~ sQ114_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4868,f1640]) ).
fof(f6257,plain,
( sQ240_spl
| ~ sQ67_spl
| ~ sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6256]) ).
fof(f6258,plain,
( sQ240_spl
| ~ sQ67_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f6257]) ).
fof(f6316,plain,
( sQ188_spl
| ~ sQ80_spl
| ~ sQ16_spl
| ~ sQ256_spl ),
inference(split_clause,[status(thm)],[f6130,f1706,f788,f1028,f1448]) ).
fof(f6350,plain,
( ~ sQ286_spl
| ~ sQ38_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f2594,f869,f859,f1861]) ).
fof(f6358,plain,
( sQ193_spl
| ~ sQ102_spl
| ~ sQ38_spl
| ~ sQ266_spl ),
inference(split_clause,[status(thm)],[f6168,f1748,f859,f1099,f1463]) ).
fof(f6385,plain,
( ~ sQ26_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f4988,f794,f820]) ).
fof(f6428,plain,
( sQ317_spl
| ~ sQ0_spl
| op1(e10,e10) != e10 ),
inference(forward_demodulation,[status(thm)],[f737,f2083]) ).
fof(f6429,plain,
( sQ317_spl
| ~ sQ0_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f737,f6428]) ).
fof(f6430,plain,
( sQ317_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6429]) ).
fof(f6431,plain,
( sQ317_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f6430]) ).
fof(f6475,plain,
( ~ sQ4_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f6025,f853,f749]) ).
fof(f6516,plain,
( sQ322_spl
| ~ sQ67_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f4836,f1015,f985,f2104]) ).
fof(f6521,plain,
( ~ sQ114_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2358,f1034,f1138]) ).
fof(f6523,plain,
( sQ277_spl
| ~ sQ222_spl
| ~ sQ171_spl
| ~ sQ255_spl ),
inference(split_clause,[status(thm)],[f4666,f1701,f1393,f1554,f1795]) ).
fof(f6566,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f6119,f853,f879]) ).
fof(f6693,plain,
$false,
inference(sat_refutation,[status(thm)],[f748,f761,f787,f800,f826,f865,f891,f904,f930,f944,f945,f946,f948,f952,f954,f956,f958,f959,f960,f962,f963,f964,f965,f967,f969,f971,f972,f973,f974,f975,f988,f1014,f1040,f1066,f1131,f1157,f1184,f1188,f1190,f1192,f1193,f1195,f1198,f1200,f1201,f1202,f1203,f1204,f1207,f1209,f1210,f1212,f1213,f1214,f1215,f1218,f1222,f1224,f1228,f1235,f1259,f1261,f1265,f1272,f1508,f1585,f1596,f1628,f1641,f1671,f1687,f1704,f1705,f1709,f1730,f1751,f1789,f1798,f1807,f1811,f1816,f1822,f1826,f1833,f1834,f1839,f1845,f1848,f1855,f1856,f1873,f1879,f1901,f1907,f1912,f1923,f1927,f1929,f1934,f1939,f1946,f1949,f1951,f1956,f1957,f1959,f1962,f1967,f1985,f1991,f2008,f2014,f2015,f2017,f2018,f2019,f2024,f2027,f2029,f2030,f2035,f2039,f2041,f2046,f2050,f2051,f2052,f2057,f2058,f2061,f2063,f2071,f2072,f2073,f2074,f2079,f2080,f2097,f2102,f2103,f2107,f2115,f2120,f2125,f2126,f2130,f2131,f2136,f2142,f2147,f2148,f2152,f2153,f2158,f2159,f2160,f2165,f2166,f2168,f2171,f2173,f2175,f2177,f2241,f2244,f2269,f2272,f2463,f2466,f2489,f2495,f2501,f2511,f2517,f2532,f2538,f2545,f2548,f2552,f2555,f2579,f2610,f2613,f2618,f2625,f2638,f2644,f2692,f2703,f2709,f2711,f2714,f2718,f2722,f2726,f2739,f2741,f2756,f2760,f2783,f2791,f2797,f2824,f2829,f2832,f2858,f2861,f2869,f2872,f2875,f2877,f2882,f2889,f2898,f2900,f2902,f2906,f2910,f2913,f2916,f2918,f2922,f2928,f2930,f2958,f2966,f2988,f3000,f3014,f3029,f3045,f3049,f3085,f3129,f3154,f3169,f3174,f3187,f3190,f3195,f3199,f3208,f3232,f3233,f3241,f3260,f3290,f3306,f3312,f3317,f3386,f3405,f3409,f3412,f3414,f3419,f3430,f3433,f3440,f3448,f3452,f3456,f3460,f3463,f3479,f3486,f3493,f3519,f3520,f3547,f3552,f3568,f3571,f3584,f3600,f3643,f3668,f3672,f3686,f3716,f3718,f3737,f3754,f3757,f3849,f3862,f3863,f3865,f3878,f3886,f3890,f3895,f3920,f3929,f3931,f3933,f3943,f3957,f3978,f4004,f4007,f4009,f4014,f4018,f4049,f4060,f4074,f4130,f4132,f4135,f4147,f4149,f4153,f4167,f4197,f4212,f4223,f4240,f4246,f4257,f4280,f4286,f4291,f4313,f4314,f4318,f4322,f4334,f4342,f4350,f4362,f4363,f4364,f4380,f4381,f4398,f4418,f4424,f4426,f4427,f4434,f4452,f4456,f4481,f4525,f4565,f4574,f4582,f4598,f4605,f4617,f4669,f4670,f4706,f4707,f4722,f4746,f4759,f4775,f4776,f4778,f4787,f4788,f4805,f4806,f4812,f4850,f4894,f4898,f4903,f4932,f4959,f4969,f4989,f4992,f4993,f5078,f5086,f5094,f5137,f5146,f5157,f5196,f5228,f5235,f5238,f5242,f5247,f5349,f5362,f5368,f5416,f5419,f5458,f5500,f5505,f5507,f5508,f5557,f5567,f5607,f5611,f5633,f5648,f5656,f5673,f5696,f5697,f5717,f5736,f5774,f5809,f5875,f5886,f5923,f5941,f5949,f5980,f6014,f6015,f6016,f6017,f6035,f6040,f6054,f6060,f6079,f6101,f6124,f6125,f6212,f6258,f6316,f6350,f6358,f6385,f6431,f6475,f6516,f6521,f6523,f6566]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG120+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n019.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 12:56:34 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.48 % Drodi V4.1.1
% 0.27/1.27 % Refutation found
% 0.27/1.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.27/1.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.94/1.34 % Elapsed time: 0.903237 seconds
% 4.94/1.34 % CPU time: 6.018540 seconds
% 4.94/1.34 % Total memory used: 166.975 MB
% 4.94/1.34 % Net memory used: 166.133 MB
%------------------------------------------------------------------------------