%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG106+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 : n001.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 11:48:13 AM UTC 2026
% Result : Theorem 5.56s 1.36s
% Output : CNFRefutation 6.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 328
% Syntax : Number of formulae : 1926 ( 150 unt; 311 def)
% Number of atoms : 8143 (4715 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 10350 (4133 ~;3634 |;2244 &)
% ( 339 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 313 ( 311 usr; 312 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e12) = e12
& 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(e12,e12) = e12 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& 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(e11,e11) = e11 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) )
& ( op1(e13,op1(e13,e13)) = e13
| op1(e12,op1(e12,e13)) = e12
| op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e10,e13)) = e10 )
& ( op1(e13,op1(e13,e12)) = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e12)) = e11
| op1(e10,op1(e10,e12)) = e10 )
& ( op1(e13,op1(e13,e11)) = e13
| op1(e12,op1(e12,e11)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e11)) = e10 )
& ( op1(e13,op1(e13,e10)) = e13
| op1(e12,op1(e12,e10)) = e12
| op1(e11,op1(e11,e10)) = e11
| op1(e10,op1(e10,e10)) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e22) = e22
& 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(e22,e22) = e22 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& 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(e21,e21) = e21 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) )
& ( op2(e23,op2(e23,e23)) = e23
| op2(e22,op2(e22,e23)) = e22
| op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e20,e23)) = e20 )
& ( op2(e23,op2(e23,e22)) = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e22)) = e21
| op2(e20,op2(e20,e22)) = e20 )
& ( op2(e23,op2(e23,e21)) = e23
| op2(e22,op2(e22,e21)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e21)) = e20 )
& ( op2(e23,op2(e23,e20)) = e23
| op2(e22,op2(e22,e20)) = e22
| op2(e21,op2(e21,e20)) = e21
| op2(e20,op2(e20,e20)) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e12 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(op1(e13,op1(e13,e13)),e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e22 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(op2(e23,op2(e23,e23)),e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f21,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f29,plain,
( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(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(f39,plain,
( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f45,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f46,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f60,plain,
( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f71,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f75,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f76,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f77,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f86,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f87,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f88,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f89,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f94,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f98,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f99,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f103,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f107,plain,
( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f108,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f113,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f124,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f125,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f126,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,e12),
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(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f152,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f156,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f157,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f158,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f166,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f182,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f183,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f184,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f185,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f189,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f191,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(f196,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f197,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f199,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f200,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(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,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e12) = e12
& 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(e12,e12) = e12 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& 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(e11,e11) = e11 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,plain,
( ( ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| sP0_prd )
& ( op1(e13,op1(e13,e13)) = e13
| op1(e12,op1(e12,e13)) = e12
| op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e10,e13)) = e10 )
& ( op1(e13,op1(e13,e12)) = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e12)) = e11
| op1(e10,op1(e10,e12)) = e10 )
& ( op1(e13,op1(e13,e11)) = e13
| op1(e12,op1(e12,e11)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e11)) = e10 )
& ( op1(e13,op1(e13,e10)) = e13
| op1(e12,op1(e12,e10)) = e12
| op1(e11,op1(e11,e10)) = e11
| op1(e10,op1(e10,e10)) = e10 ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f243,plain,
( op1(e13,op1(e13,e11)) = e13
| op1(e12,op1(e12,e11)) = e12
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e10,e11)) = e10 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f244,plain,
( op1(e13,op1(e13,e12)) = e13
| op1(e12,op1(e12,e12)) = e12
| op1(e11,op1(e11,e12)) = e11
| op1(e10,op1(e10,e12)) = e10 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f245,plain,
( op1(e13,op1(e13,e13)) = e13
| op1(e12,op1(e12,e13)) = e12
| op1(e11,op1(e11,e13)) = e11
| op1(e10,op1(e10,e13)) = e10 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f246,plain,
( op1(e13,e13) = e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f252,definition,
( sP1_prd
<=> ( ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e22) = e22
& 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(e22,e22) = e22 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& 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(e21,e21) = e21 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f253,plain,
( ( ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| sP1_prd )
& ( op2(e23,op2(e23,e23)) = e23
| op2(e22,op2(e22,e23)) = e22
| op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e20,e23)) = e20 )
& ( op2(e23,op2(e23,e22)) = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e22)) = e21
| op2(e20,op2(e20,e22)) = e20 )
& ( op2(e23,op2(e23,e21)) = e23
| op2(e22,op2(e22,e21)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e21)) = e20 )
& ( op2(e23,op2(e23,e20)) = e23
| op2(e22,op2(e22,e20)) = e22
| op2(e21,op2(e21,e20)) = e21
| op2(e20,op2(e20,e20)) = e20 ) ),
inference(formula_renaming,[status(thm)],[f11,f252]) ).
fof(f254,plain,
( op2(e23,op2(e23,e20)) = e23
| op2(e22,op2(e22,e20)) = e22
| op2(e21,op2(e21,e20)) = e21
| op2(e20,op2(e20,e20)) = e20 ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f255,plain,
( op2(e23,op2(e23,e21)) = e23
| op2(e22,op2(e22,e21)) = e22
| op2(e21,op2(e21,e21)) = e21
| op2(e20,op2(e20,e21)) = e20 ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f256,plain,
( op2(e23,op2(e23,e22)) = e23
| op2(e22,op2(e22,e22)) = e22
| op2(e21,op2(e21,e22)) = e21
| op2(e20,op2(e20,e22)) = e20 ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f257,plain,
( op2(e23,op2(e23,e23)) = e23
| op2(e22,op2(e22,e23)) = e22
| op2(e21,op2(e21,e23)) = e21
| op2(e20,op2(e20,e23)) = e20 ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f258,plain,
( op2(e23,e23) = e23
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f264,plain,
e10 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f265,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f266,plain,
e12 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f267,plain,
e20 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f268,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f269,plain,
e22 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f270,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f271,plain,
h1(e10) = op2(op2(e20,op2(e20,e20)),e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f272,plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f273,plain,
h1(e12) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f274,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f275,plain,
h2(e10) = op2(op2(e21,op2(e21,e21)),e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f276,plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f277,plain,
h2(e12) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f278,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f279,plain,
h3(e10) = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f280,plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f282,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f283,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f284,plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f285,plain,
h4(e12) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f286,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f287,definition,
( sP2_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f288,definition,
( sP3_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f289,definition,
( sP4_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f290,definition,
( sP5_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f291,definition,
( sP6_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f292,definition,
( sP7_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f293,definition,
( sP8_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f294,definition,
( sP9_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f295,definition,
( sP10_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f296,definition,
( sP11_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f297,definition,
( sP12_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f298,definition,
( sP13_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f299,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP13_prd
| sP12_prd
| sP11_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| sP10_prd
| sP9_prd
| sP8_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| sP7_prd
| sP6_prd
| sP5_prd
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| sP4_prd
| sP3_prd
| sP2_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(formula_renaming,[status(thm)],[f286,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287]) ).
fof(f315,plain,
( h4(e13) != e23
| sP13_prd
| sP12_prd
| sP11_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f316,definition,
( sP14_prd
<=> ( ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e12) = e12
& 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(e12,e12) = e12 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& 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(e11,e11) = e11 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f317,plain,
( sP0_prd
<=> ( ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f316]) ).
fof(f318,plain,
( ( ( ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e12,e13) != e13
| op1(e13,e12) != e13 )
& ~ sP14_prd )
| sP0_prd )
& ( ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e13) = e13
& op1(e13,e12) = e13 )
| sP14_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f317]) ).
fof(f320,plain,
( op1(e12,e13) = e13
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f318]) ).
fof(f327,definition,
( sP15_prd
<=> ( ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e22) = e22
& 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(e22,e22) = e22 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& 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(e21,e21) = e21 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f328,plain,
( sP1_prd
<=> ( ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f252,f327]) ).
fof(f329,plain,
( ( ( ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e22,e23) != e23
| op2(e23,e22) != e23 )
& ~ sP15_prd )
| sP1_prd )
& ( ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e23) = e23
& op2(e23,e22) = e23 )
| sP15_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f328]) ).
fof(f331,plain,
( op2(e22,e23) = e23
| sP15_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f338,plain,
( ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20
| sP2_prd )
& ( ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f287]) ).
fof(f342,plain,
( h1(e13) != e20
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f344,plain,
( ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21
| sP3_prd )
& ( ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f288]) ).
fof(f346,plain,
( h1(e11) != e21
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f350,plain,
( ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP4_prd )
& ( ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f289]) ).
fof(f353,plain,
( h1(e12) != e22
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f355,plain,
( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f362,plain,
( ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP6_prd )
& ( ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f291]) ).
fof(f366,plain,
( h2(e13) != e21
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f368,plain,
( ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP7_prd )
& ( ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f373,plain,
( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f374,plain,
( ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP8_prd )
& ( ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f375,plain,
( h3(e10) != e20
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f380,plain,
( ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP9_prd )
& ( ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f294]) ).
fof(f382,plain,
( h3(e11) != e21
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f386,plain,
( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP10_prd )
& ( ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f390,plain,
( h3(e13) != e22
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f392,plain,
( ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP11_prd )
& ( ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f393,plain,
( h4(e10) != e20
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f398,plain,
( ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP12_prd )
& ( ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f297]) ).
fof(f400,plain,
( h4(e11) != e21
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f404,plain,
( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP13_prd )
& ( ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f298]) ).
fof(f407,plain,
( h4(e12) != e22
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f410,definition,
( sP16_prd
<=> ( ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e12) = e12
& 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(e12,e12) = e12 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& 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(e11,e11) = e11 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f411,plain,
( sP14_prd
<=> ( ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f316,f410]) ).
fof(f412,plain,
( ( ( ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11
| op1(e11,e13) != e13
| op1(e13,e11) != e13 )
& ~ sP16_prd )
| sP14_prd )
& ( ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e13) = e13
& op1(e13,e11) = e13 )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f411]) ).
fof(f418,plain,
( op1(e13,e13) != e11
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f421,definition,
( sP17_prd
<=> ( ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e22) = e22
& 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(e22,e22) = e22 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& 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(e21,e21) = e21 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f422,plain,
( sP15_prd
<=> ( ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f327,f421]) ).
fof(f423,plain,
( ( ( ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21
| op2(e21,e23) != e23
| op2(e23,e21) != e23 )
& ~ sP17_prd )
| sP15_prd )
& ( ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e23) = e23
& op2(e23,e21) = e23 )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f422]) ).
fof(f424,plain,
( op2(e23,e21) = e23
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f423]) ).
fof(f432,definition,
( sP18_prd
<=> ( ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e12) = e12
& 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(e12,e12) = e12 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& 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(e11,e11) = e11 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f433,plain,
( sP16_prd
<=> ( ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f410,f432]) ).
fof(f434,plain,
( ( ( ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e10,e13) != e13
| op1(e13,e10) != e13 )
& ~ sP18_prd )
| sP16_prd )
& ( ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e13) = e13
& op1(e13,e10) = e13 )
| sP18_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f433]) ).
fof(f435,plain,
( op1(e13,e10) = e13
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f436,plain,
( op1(e10,e13) = e13
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f437,plain,
( op1(e10,e10) != e10
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f438,plain,
( op1(e11,e11) != e10
| sP18_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f443,definition,
( sP19_prd
<=> ( ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e22) = e22
& 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(e22,e22) = e22 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& 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(e21,e21) = e21 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f444,plain,
( sP17_prd
<=> ( ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f421,f443]) ).
fof(f445,plain,
( ( ( ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e20,e23) != e23
| op2(e23,e20) != e23 )
& ~ sP19_prd )
| sP17_prd )
& ( ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e23) = e23
& op2(e23,e20) = e23 )
| sP19_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f444]) ).
fof(f446,plain,
( op2(e23,e20) = e23
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f447,plain,
( op2(e20,e23) = e23
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f448,plain,
( op2(e20,e20) != e20
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f449,plain,
( op2(e21,e21) != e20
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f450,plain,
( op2(e22,e22) != e20
| sP19_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f445]) ).
fof(f454,definition,
( sP20_prd
<=> ( ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& 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(e11,e11) = e11 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f455,plain,
( sP18_prd
<=> ( ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f432,f454]) ).
fof(f456,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13
| op1(e13,e12) != e12
| op1(e12,e13) != e12 )
& ~ sP20_prd )
| sP18_prd )
& ( ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| sP20_prd
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f455]) ).
fof(f457,plain,
( op1(e12,e13) = e12
| sP20_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f463,plain,
( ~ sP20_prd
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f456]) ).
fof(f465,definition,
( sP21_prd
<=> ( ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& 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(e21,e21) = e21 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f466,plain,
( sP19_prd
<=> ( ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f443,f465]) ).
fof(f467,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23
| op2(e23,e22) != e22
| op2(e22,e23) != e22 )
& ~ sP21_prd )
| sP19_prd )
& ( ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| sP21_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f466]) ).
fof(f468,plain,
( op2(e22,e23) = e22
| sP21_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f474,plain,
( ~ sP21_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f467]) ).
fof(f476,definition,
( sP22_prd
<=> ( ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& 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(e11,e11) = e11 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f477,plain,
( sP20_prd
<=> ( ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f454,f476]) ).
fof(f478,plain,
( ( ( ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ~ sP22_prd )
| sP20_prd )
& ( ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| sP22_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f477]) ).
fof(f479,plain,
( op1(e12,e12) = e12
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f481,plain,
( op1(e10,e10) != e12
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f483,plain,
( op1(e12,e12) != e12
| sP22_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f485,plain,
( ~ sP22_prd
| sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f487,definition,
( sP23_prd
<=> ( ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& 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(e21,e21) = e21 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f488,plain,
( sP21_prd
<=> ( ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f465,f487]) ).
fof(f489,plain,
( ( ( ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ~ sP23_prd )
| sP21_prd )
& ( ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| sP23_prd
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f488]) ).
fof(f490,plain,
( op2(e22,e22) = e22
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f492,plain,
( op2(e20,e20) != e22
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f494,plain,
( op2(e22,e22) != e22
| sP23_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f496,plain,
( ~ sP23_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f489]) ).
fof(f498,definition,
( sP24_prd
<=> ( ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& 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(e11,e11) = e11 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f499,plain,
( sP22_prd
<=> ( ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f476,f498]) ).
fof(f500,plain,
( ( ( ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11
| op1(e11,e12) != e12
| op1(e12,e11) != e12 )
& ~ sP24_prd )
| sP22_prd )
& ( ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| sP24_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f499]) ).
fof(f501,plain,
( op1(e12,e11) = e12
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f507,plain,
( ~ sP24_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f500]) ).
fof(f509,definition,
( sP25_prd
<=> ( ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& 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(e21,e21) = e21 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f510,plain,
( sP23_prd
<=> ( ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f487,f509]) ).
fof(f511,plain,
( ( ( ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21
| op2(e21,e22) != e22
| op2(e22,e21) != e22 )
& ~ sP25_prd )
| sP23_prd )
& ( ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| sP25_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f510]) ).
fof(f512,plain,
( op2(e22,e21) = e22
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f513,plain,
( op2(e21,e22) = e22
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f517,plain,
( op2(e23,e23) != e21
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f518,plain,
( ~ sP25_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f511]) ).
fof(f520,definition,
( sP26_prd
<=> ( ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& 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(e11,e11) = e11 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f521,plain,
( sP24_prd
<=> ( ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f498,f520]) ).
fof(f522,plain,
( ( ( ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e10,e12) != e12
| op1(e12,e10) != e12 )
& ~ sP26_prd )
| sP24_prd )
& ( ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| sP26_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f521]) ).
fof(f523,plain,
( op1(e12,e10) = e12
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f524,plain,
( op1(e10,e12) = e12
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f525,plain,
( op1(e10,e10) != e10
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f526,plain,
( op1(e11,e11) != e10
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f529,plain,
( ~ sP26_prd
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f530,plain,
( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e10,e12) != e12
| op1(e12,e10) != e12
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f522]) ).
fof(f531,definition,
( sP27_prd
<=> ( ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& 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(e21,e21) = e21 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f532,plain,
( sP25_prd
<=> ( ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f509,f531]) ).
fof(f533,plain,
( ( ( ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e20,e22) != e22
| op2(e22,e20) != e22 )
& ~ sP27_prd )
| sP25_prd )
& ( ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| sP27_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f532]) ).
fof(f534,plain,
( op2(e22,e20) = e22
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f535,plain,
( op2(e20,e22) = e22
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f536,plain,
( op2(e20,e20) != e20
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f541,plain,
( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e20,e22) != e22
| op2(e22,e20) != e22
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f533]) ).
fof(f542,definition,
( sP28_prd
<=> ( ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& 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(e11,e11) = e11 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f543,plain,
( sP26_prd
<=> ( ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f520,f542]) ).
fof(f544,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13
| op1(e13,e11) != e11
| op1(e11,e13) != e11 )
& ~ sP28_prd )
| sP26_prd )
& ( ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| sP28_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f543]) ).
fof(f545,plain,
( op1(e11,e13) = e11
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f544]) ).
fof(f551,plain,
( ~ sP28_prd
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f544]) ).
fof(f553,definition,
( sP29_prd
<=> ( ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& 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(e21,e21) = e21 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f554,plain,
( sP27_prd
<=> ( ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f531,f553]) ).
fof(f555,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23
| op2(e23,e21) != e21
| op2(e21,e23) != e21 )
& ~ sP29_prd )
| sP27_prd )
& ( ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| sP29_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f554]) ).
fof(f556,plain,
( op2(e21,e23) = e21
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f562,plain,
( ~ sP29_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f564,definition,
( sP30_prd
<=> ( ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f565,plain,
( sP28_prd
<=> ( ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f542,f564]) ).
fof(f566,plain,
( ( ( ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e12,e11) != e11
| op1(e11,e12) != e11 )
& ~ sP30_prd )
| sP28_prd )
& ( ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| sP30_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f565]) ).
fof(f567,plain,
( op1(e11,e12) = e11
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f568,plain,
( op1(e12,e11) = e11
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f569,plain,
( op1(e10,e10) != e12
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f571,plain,
( op1(e12,e12) != e12
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f573,plain,
( ~ sP30_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f574,plain,
( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e12,e11) != e11
| op1(e11,e12) != e11
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f566]) ).
fof(f575,definition,
( sP31_prd
<=> ( ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f576,plain,
( sP29_prd
<=> ( ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f553,f575]) ).
fof(f577,plain,
( ( ( ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e22,e21) != e21
| op2(e21,e22) != e21 )
& ~ sP31_prd )
| sP29_prd )
& ( ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| sP31_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f576]) ).
fof(f578,plain,
( op2(e21,e22) = e21
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f579,plain,
( op2(e22,e21) = e21
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f582,plain,
( op2(e22,e22) != e22
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f585,plain,
( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e22,e21) != e21
| op2(e21,e22) != e21
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f577]) ).
fof(f586,definition,
( sP32_prd
<=> ( ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f587,plain,
( sP30_prd
<=> ( ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f564,f586]) ).
fof(f588,plain,
( ( ( ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11
| op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ~ sP32_prd )
| sP30_prd )
& ( ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP32_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f587]) ).
fof(f591,plain,
( op1(e10,e10) != e11
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f593,plain,
( op1(e12,e12) != e11
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f594,plain,
( op1(e13,e13) != e11
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f595,plain,
( ~ sP32_prd
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f597,definition,
( sP33_prd
<=> ( ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f598,plain,
( sP31_prd
<=> ( ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f575,f597]) ).
fof(f599,plain,
( ( ( ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21
| op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ~ sP33_prd )
| sP31_prd )
& ( ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP33_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f598]) ).
fof(f600,plain,
( op2(e21,e21) = e21
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f602,plain,
( op2(e20,e20) != e21
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f603,plain,
( op2(e21,e21) != e21
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f605,plain,
( op2(e23,e23) != e21
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f608,definition,
( sP34_prd
<=> ( ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f609,plain,
( sP32_prd
<=> ( ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f586,f608]) ).
fof(f610,plain,
( ( ( ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e10,e11) != e11
| op1(e11,e10) != e11 )
& ~ sP34_prd )
| sP32_prd )
& ( ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| sP34_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f609]) ).
fof(f611,plain,
( op1(e11,e10) = e11
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f612,plain,
( op1(e10,e11) = e11
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f613,plain,
( op1(e10,e10) != e10
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f614,plain,
( op1(e11,e11) != e10
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f617,plain,
( ~ sP34_prd
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f619,definition,
( sP35_prd
<=> ( ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f620,plain,
( sP33_prd
<=> ( ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f597,f619]) ).
fof(f621,plain,
( ( ( ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e20,e21) != e21
| op2(e21,e20) != e21 )
& ~ sP35_prd )
| sP33_prd )
& ( ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| sP35_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f620]) ).
fof(f622,plain,
( op2(e21,e20) = e21
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f623,plain,
( op2(e20,e21) = e21
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f624,plain,
( op2(e20,e20) != e20
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f625,plain,
( op2(e21,e21) != e20
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f630,definition,
( sP36_prd
<=> ( ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f631,plain,
( sP34_prd
<=> ( ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f608,f630]) ).
fof(f632,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e12,e12) = e13
| op1(e11,e11) = e13
| op1(e10,e10) = e13
| op1(e13,e10) != e10
| op1(e10,e13) != e10 )
& ~ sP36_prd )
| sP34_prd )
& ( ( op1(e13,e13) != e13
& op1(e12,e12) != e13
& op1(e11,e11) != e13
& op1(e10,e10) != e13
& op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| sP36_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f631]) ).
fof(f633,plain,
( op1(e10,e13) = e10
| sP36_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f639,plain,
( ~ sP36_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f641,definition,
( sP37_prd
<=> ( ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f642,plain,
( sP35_prd
<=> ( ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f619,f641]) ).
fof(f643,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e22,e22) = e23
| op2(e21,e21) = e23
| op2(e20,e20) = e23
| op2(e23,e20) != e20
| op2(e20,e23) != e20 )
& ~ sP37_prd )
| sP35_prd )
& ( ( op2(e23,e23) != e23
& op2(e22,e22) != e23
& op2(e21,e21) != e23
& op2(e20,e20) != e23
& op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| sP37_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f642]) ).
fof(f644,plain,
( op2(e20,e23) = e20
| sP37_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f643]) ).
fof(f652,definition,
( sP38_prd
<=> ( ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f653,plain,
( sP36_prd
<=> ( ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f630,f652]) ).
fof(f654,plain,
( ( ( ( op1(e13,e13) = e12
| op1(e12,e12) = e12
| op1(e11,e11) = e12
| op1(e10,e10) = e12
| op1(e12,e10) != e10
| op1(e10,e12) != e10 )
& ~ sP38_prd )
| sP36_prd )
& ( ( op1(e13,e13) != e12
& op1(e12,e12) != e12
& op1(e11,e11) != e12
& op1(e10,e10) != e12
& op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| sP38_prd
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f653]) ).
fof(f655,plain,
( op1(e10,e12) = e10
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f656,plain,
( op1(e12,e10) = e10
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f657,plain,
( op1(e10,e10) != e12
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f659,plain,
( op1(e12,e12) != e12
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f661,plain,
( ~ sP38_prd
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f663,definition,
( sP39_prd
<=> ( ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f664,plain,
( sP37_prd
<=> ( ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f641,f663]) ).
fof(f665,plain,
( ( ( ( op2(e23,e23) = e22
| op2(e22,e22) = e22
| op2(e21,e21) = e22
| op2(e20,e20) = e22
| op2(e22,e20) != e20
| op2(e20,e22) != e20 )
& ~ sP39_prd )
| sP37_prd )
& ( ( op2(e23,e23) != e22
& op2(e22,e22) != e22
& op2(e21,e21) != e22
& op2(e20,e20) != e22
& op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| sP39_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f664]) ).
fof(f667,plain,
( op2(e22,e20) = e20
| sP39_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f665]) ).
fof(f668,plain,
( op2(e20,e20) != e22
| sP39_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f665]) ).
fof(f670,plain,
( op2(e22,e22) != e22
| sP39_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f665]) ).
fof(f674,definition,
( sP40_prd
<=> ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f675,plain,
( sP38_prd
<=> ( ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f652,f674]) ).
fof(f676,plain,
( ( ( ( op1(e13,e13) = e11
| op1(e12,e12) = e11
| op1(e11,e11) = e11
| op1(e10,e10) = e11
| op1(e11,e10) != e10
| op1(e10,e11) != e10 )
& ~ sP40_prd )
| sP38_prd )
& ( ( op1(e13,e13) != e11
& op1(e12,e12) != e11
& op1(e11,e11) != e11
& op1(e10,e10) != e11
& op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| sP40_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f675]) ).
fof(f677,plain,
( op1(e10,e11) = e10
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f678,plain,
( op1(e11,e10) = e10
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f679,plain,
( op1(e10,e10) != e11
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f681,plain,
( op1(e12,e12) != e11
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f682,plain,
( op1(e13,e13) != e11
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f683,plain,
( ~ sP40_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f685,definition,
( sP41_prd
<=> ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f686,plain,
( sP39_prd
<=> ( ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f663,f685]) ).
fof(f687,plain,
( ( ( ( op2(e23,e23) = e21
| op2(e22,e22) = e21
| op2(e21,e21) = e21
| op2(e20,e20) = e21
| op2(e21,e20) != e20
| op2(e20,e21) != e20 )
& ~ sP41_prd )
| sP39_prd )
& ( ( op2(e23,e23) != e21
& op2(e22,e22) != e21
& op2(e21,e21) != e21
& op2(e20,e20) != e21
& op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| sP41_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f686]) ).
fof(f688,plain,
( op2(e20,e21) = e20
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f689,plain,
( op2(e21,e20) = e20
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f690,plain,
( op2(e20,e20) != e21
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f691,plain,
( op2(e21,e21) != e21
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f693,plain,
( op2(e23,e23) != e21
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f687]) ).
fof(f696,plain,
( ( op1(e13,e13) = e10
| op1(e12,e12) = e10
| op1(e11,e11) = e10
| op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e10,e10) != e10
| sP40_prd )
& ( ( op1(e13,e13) != e10
& op1(e12,e12) != e10
& op1(e11,e11) != e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f674]) ).
fof(f697,plain,
( op1(e10,e10) = e10
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f699,plain,
( op1(e10,e10) != e10
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f700,plain,
( op1(e11,e11) != e10
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f704,plain,
( ( op2(e23,e23) = e20
| op2(e22,e22) = e20
| op2(e21,e21) = e20
| op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e20,e20) != e20
| sP41_prd )
& ( ( op2(e23,e23) != e20
& op2(e22,e22) != e20
& op2(e21,e21) != e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f685]) ).
fof(f705,plain,
( op2(e20,e20) = e20
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f707,plain,
( op2(e20,e20) != e20
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f708,plain,
( op2(e21,e21) != e20
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f712,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f715,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f725,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f734,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21,f725,f728,f731,f734]) ).
fof(f738,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f739,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f741,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f751,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f755,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f764,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f768,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f24,f764,f767,f770,f773]) ).
fof(f777,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( ~ sQ20_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f781,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f783,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f786,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f25,f777,f780,f783,f786]) ).
fof(f790,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f794,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f803,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f810,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f816,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f829,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f832,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( sQ38_spl
| op1(e12,e11) != e12 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f29,f829,f832,f835,f838]) ).
fof(f842,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f845,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f30,f842,f845,f848,f851]) ).
fof(f855,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f862,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f865,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f31,f855,f858,f861,f864]) ).
fof(f868,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f874,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f877,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f881,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f882,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f885,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f887,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f888,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f889,plain,
( sQ54_spl
| op1(e13,e11) != e12 ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f890,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f890]) ).
fof(f894,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f895,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f897,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f901,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f907,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ60_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( sQ61_spl
| op1(e13,e13) != e11 ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f913,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f920,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f712,f725,f738,f751]) ).
fof(f921,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f712,f764,f816,f868]) ).
fof(f922,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f38,f715,f728,f741,f754]) ).
fof(f923,plain,
( sQ49_spl
| sQ33_spl
| sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f39,f715,f767,f819,f871]) ).
fof(f924,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f718,f731,f744,f757]) ).
fof(f925,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f718,f770,f822,f874]) ).
fof(f928,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f44,f764,f777,f790,f803]) ).
fof(f929,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f45,f725,f777,f829,f881]) ).
fof(f930,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f767,f780,f793,f806]) ).
fof(f934,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f50,f773,f786,f799,f812]) ).
fof(f935,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f734,f786,f838,f890]) ).
fof(f937,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f738,f790,f842,f894]) ).
fof(f940,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f56,f822,f835,f848,f861]) ).
fof(f941,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f744,f796,f848,f900]) ).
fof(f943,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f747,f799,f851,f903]) ).
fof(f944,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f60,f868,f881,f894,f907]) ).
fof(f949,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f65,f757,f809,f861,f913]) ).
fof(f950,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f66,f877,f890,f903,f916]) ).
fof(f951,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f760,f812,f864,f916]) ).
fof(f952,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f953,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f952]) ).
fof(f955,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f955]) ).
fof(f958,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( ~ sQ66_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ67_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f68,f952,f955,f958,f961]) ).
fof(f965,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f966,plain,
( ~ sQ68_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f969,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f971,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f975,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f978,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f979,plain,
( ~ sQ72_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f978]) ).
fof(f981,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f982,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f985,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f987,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f988,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f991,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f994,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f995,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f994]) ).
fof(f997,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f998,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f997]) ).
fof(f1000,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1003,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f71,f991,f994,f997,f1000]) ).
fof(f1004,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1005,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f1004]) ).
fof(f1007,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f1007]) ).
fof(f1010,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1011,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f1010]) ).
fof(f1013,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1014,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f1013]) ).
fof(f1017,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1018,plain,
( ~ sQ84_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f1017]) ).
fof(f1019,plain,
( sQ84_spl
| op2(e21,e21) != e20 ),
inference(component_clause,[status(thm)],[f1017]) ).
fof(f1020,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1026,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f73,f1017,f1020,f1023,f1026]) ).
fof(f1030,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1031,plain,
( ~ sQ88_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f1030]) ).
fof(f1033,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1034,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f1033]) ).
fof(f1036,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1039,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
( ~ sQ91_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,plain,
( sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f74,f1030,f1033,f1036,f1039]) ).
fof(f1043,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f1043]) ).
fof(f1046,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1052,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1053,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f1052]) ).
fof(f1055,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f75,f1043,f1046,f1049,f1052]) ).
fof(f1056,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1060,plain,
( ~ sQ97_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f1059]) ).
fof(f1062,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1063,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1065,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1066,plain,
( ~ sQ99_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1068,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f76,f1056,f1059,f1062,f1065]) ).
fof(f1069,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1070,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1072,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1075,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1079,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f77,f1069,f1072,f1075,f1078]) ).
fof(f1082,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f1082]) ).
fof(f1085,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1086,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f1085]) ).
fof(f1088,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1091,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1092,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1095,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1097,plain,
( sQ108_spl
| op2(e22,e23) != e20 ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1098,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1101,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1102,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f1101]) ).
fof(f1104,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1105,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f1104]) ).
fof(f1108,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f1114]) ).
fof(f1117,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f1117]) ).
fof(f1120,plain,
( sQ115_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f80,f1108,f1111,f1114,f1117]) ).
fof(f1121,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1129,plain,
( sQ118_spl
| op2(e23,e21) != e22 ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1130,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1131,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f1130]) ).
fof(f1134,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1135,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f1134]) ).
fof(f1137,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1138,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1140,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1141,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f1140]) ).
fof(f1143,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1144,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f1143]) ).
fof(f1146,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f82,f1134,f1137,f1140,f1143]) ).
fof(f1147,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1150,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1152,plain,
( sQ125_spl
| op2(e23,e23) != e21 ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1153,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1156,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1157,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f1156]) ).
fof(f1160,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f952,f965,f978,f991]) ).
fof(f1161,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f952,f1004,f1056,f1108]) ).
fof(f1162,plain,
( sQ77_spl
| sQ73_spl
| sQ69_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f86,f955,f968,f981,f994]) ).
fof(f1163,plain,
( sQ113_spl
| sQ97_spl
| sQ81_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f87,f955,f1007,f1059,f1111]) ).
fof(f1164,plain,
( sQ78_spl
| sQ74_spl
| sQ70_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f88,f958,f971,f984,f997]) ).
fof(f1165,plain,
( sQ114_spl
| sQ98_spl
| sQ82_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f89,f958,f1010,f1062,f1114]) ).
fof(f1166,plain,
( sQ79_spl
| sQ75_spl
| sQ71_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f90,f961,f974,f987,f1000]) ).
fof(f1168,plain,
( sQ92_spl
| sQ88_spl
| sQ84_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f92,f1004,f1017,f1030,f1043]) ).
fof(f1169,plain,
( sQ116_spl
| sQ100_spl
| sQ84_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f93,f965,f1017,f1069,f1121]) ).
fof(f1170,plain,
( sQ93_spl
| sQ89_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f94,f1007,f1020,f1033,f1046]) ).
fof(f1171,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f95,f968,f1020,f1072,f1124]) ).
fof(f1174,plain,
( sQ95_spl
| sQ91_spl
| sQ87_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f98,f1013,f1026,f1039,f1052]) ).
fof(f1175,plain,
( sQ119_spl
| sQ103_spl
| sQ87_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f99,f974,f1026,f1078,f1130]) ).
fof(f1178,plain,
( sQ109_spl
| sQ105_spl
| sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f102,f1059,f1072,f1085,f1098]) ).
fof(f1179,plain,
( sQ121_spl
| sQ105_spl
| sQ89_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f103,f981,f1033,f1085,f1137]) ).
fof(f1181,plain,
( sQ122_spl
| sQ106_spl
| sQ90_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f105,f984,f1036,f1088,f1140]) ).
fof(f1182,plain,
( sQ111_spl
| sQ107_spl
| sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f106,f1065,f1078,f1091,f1104]) ).
fof(f1183,plain,
( sQ123_spl
| sQ107_spl
| sQ91_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f107,f987,f1039,f1091,f1143]) ).
fof(f1184,plain,
( sQ124_spl
| sQ120_spl
| sQ116_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f108,f1108,f1121,f1134,f1147]) ).
fof(f1189,plain,
( sQ126_spl
| sQ110_spl
| sQ94_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f113,f997,f1049,f1101,f1153]) ).
fof(f1190,plain,
( sQ127_spl
| sQ123_spl
| sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f114,f1117,f1130,f1143,f1156]) ).
fof(f1195,definition,
( sQ129_spl
<=> op1(e11,op1(e11,e10)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( ~ sQ129_spl
| op1(e11,op1(e11,e10)) = e11 ),
inference(component_clause,[status(thm)],[f1195]) ).
fof(f1201,definition,
( sQ131_spl
<=> op1(e13,op1(e13,e10)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( ~ sQ131_spl
| op1(e13,op1(e13,e10)) = e13 ),
inference(component_clause,[status(thm)],[f1201]) ).
fof(f1205,definition,
( sQ132_spl
<=> op1(e10,op1(e10,e11)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1206,plain,
( ~ sQ132_spl
| op1(e10,op1(e10,e11)) = e10 ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1208,definition,
( sQ133_spl
<=> op1(e11,op1(e11,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1209,plain,
( ~ sQ133_spl
| op1(e11,op1(e11,e11)) = e11 ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1211,definition,
( sQ134_spl
<=> op1(e12,op1(e12,e11)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1212,plain,
( ~ sQ134_spl
| op1(e12,op1(e12,e11)) = e12 ),
inference(component_clause,[status(thm)],[f1211]) ).
fof(f1214,definition,
( sQ135_spl
<=> op1(e13,op1(e13,e11)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
( ~ sQ135_spl
| op1(e13,op1(e13,e11)) = e13 ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1217,plain,
( sQ135_spl
| sQ134_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f243,f1205,f1208,f1211,f1214]) ).
fof(f1218,definition,
( sQ136_spl
<=> op1(e10,op1(e10,e12)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1219,plain,
( ~ sQ136_spl
| op1(e10,op1(e10,e12)) = e10 ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1221,definition,
( sQ137_spl
<=> op1(e11,op1(e11,e12)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1222,plain,
( ~ sQ137_spl
| op1(e11,op1(e11,e12)) = e11 ),
inference(component_clause,[status(thm)],[f1221]) ).
fof(f1224,definition,
( sQ138_spl
<=> op1(e12,op1(e12,e12)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
( ~ sQ138_spl
| op1(e12,op1(e12,e12)) = e12 ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1227,definition,
( sQ139_spl
<=> op1(e13,op1(e13,e12)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1228,plain,
( ~ sQ139_spl
| op1(e13,op1(e13,e12)) = e13 ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1230,plain,
( sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f244,f1218,f1221,f1224,f1227]) ).
fof(f1231,definition,
( sQ140_spl
<=> op1(e10,op1(e10,e13)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1232,plain,
( ~ sQ140_spl
| op1(e10,op1(e10,e13)) = e10 ),
inference(component_clause,[status(thm)],[f1231]) ).
fof(f1234,definition,
( sQ141_spl
<=> op1(e11,op1(e11,e13)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1235,plain,
( ~ sQ141_spl
| op1(e11,op1(e11,e13)) = e11 ),
inference(component_clause,[status(thm)],[f1234]) ).
fof(f1237,definition,
( sQ142_spl
<=> op1(e12,op1(e12,e13)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
( ~ sQ142_spl
| op1(e12,op1(e12,e13)) = e12 ),
inference(component_clause,[status(thm)],[f1237]) ).
fof(f1240,definition,
( sQ143_spl
<=> op1(e13,op1(e13,e13)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1241,plain,
( ~ sQ143_spl
| op1(e13,op1(e13,e13)) = e13 ),
inference(component_clause,[status(thm)],[f1240]) ).
fof(f1243,plain,
( sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f245,f1231,f1234,f1237,f1240]) ).
fof(f1244,definition,
( sQ144_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( sQ63_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f246,f1244,f916]) ).
fof(f1253,definition,
( sQ145_spl
<=> op2(e20,op2(e20,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1256,definition,
( sQ146_spl
<=> op2(e21,op2(e21,e20)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1257,plain,
( ~ sQ146_spl
| op2(e21,op2(e21,e20)) = e21 ),
inference(component_clause,[status(thm)],[f1256]) ).
fof(f1259,definition,
( sQ147_spl
<=> op2(e22,op2(e22,e20)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
( ~ sQ147_spl
| op2(e22,op2(e22,e20)) = e22 ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,definition,
( sQ148_spl
<=> op2(e23,op2(e23,e20)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( ~ sQ148_spl
| op2(e23,op2(e23,e20)) = e23 ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,plain,
( sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f254,f1253,f1256,f1259,f1262]) ).
fof(f1266,definition,
( sQ149_spl
<=> op2(e20,op2(e20,e21)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( ~ sQ149_spl
| op2(e20,op2(e20,e21)) = e20 ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1269,definition,
( sQ150_spl
<=> op2(e21,op2(e21,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1270,plain,
( ~ sQ150_spl
| op2(e21,op2(e21,e21)) = e21 ),
inference(component_clause,[status(thm)],[f1269]) ).
fof(f1272,definition,
( sQ151_spl
<=> op2(e22,op2(e22,e21)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1273,plain,
( ~ sQ151_spl
| op2(e22,op2(e22,e21)) = e22 ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1275,definition,
( sQ152_spl
<=> op2(e23,op2(e23,e21)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1276,plain,
( ~ sQ152_spl
| op2(e23,op2(e23,e21)) = e23 ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1278,plain,
( sQ152_spl
| sQ151_spl
| sQ150_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f255,f1266,f1269,f1272,f1275]) ).
fof(f1279,definition,
( sQ153_spl
<=> op2(e20,op2(e20,e22)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1280,plain,
( ~ sQ153_spl
| op2(e20,op2(e20,e22)) = e20 ),
inference(component_clause,[status(thm)],[f1279]) ).
fof(f1282,definition,
( sQ154_spl
<=> op2(e21,op2(e21,e22)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1283,plain,
( ~ sQ154_spl
| op2(e21,op2(e21,e22)) = e21 ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1285,definition,
( sQ155_spl
<=> op2(e22,op2(e22,e22)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( ~ sQ155_spl
| op2(e22,op2(e22,e22)) = e22 ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,definition,
( sQ156_spl
<=> op2(e23,op2(e23,e22)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( ~ sQ156_spl
| op2(e23,op2(e23,e22)) = e23 ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
( sQ156_spl
| op2(e23,op2(e23,e22)) != e23 ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,plain,
( sQ156_spl
| sQ155_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f256,f1279,f1282,f1285,f1288]) ).
fof(f1292,definition,
( sQ157_spl
<=> op2(e20,op2(e20,e23)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1293,plain,
( ~ sQ157_spl
| op2(e20,op2(e20,e23)) = e20 ),
inference(component_clause,[status(thm)],[f1292]) ).
fof(f1295,definition,
( sQ158_spl
<=> op2(e21,op2(e21,e23)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1296,plain,
( ~ sQ158_spl
| op2(e21,op2(e21,e23)) = e21 ),
inference(component_clause,[status(thm)],[f1295]) ).
fof(f1298,definition,
( sQ159_spl
<=> op2(e22,op2(e22,e23)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1299,plain,
( ~ sQ159_spl
| op2(e22,op2(e22,e23)) = e22 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1300,plain,
( sQ159_spl
| op2(e22,op2(e22,e23)) != e22 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,definition,
( sQ160_spl
<=> op2(e23,op2(e23,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1302,plain,
( ~ sQ160_spl
| op2(e23,op2(e23,e23)) = e23 ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1304,plain,
( sQ160_spl
| sQ159_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f257,f1292,f1295,f1298,f1301]) ).
fof(f1305,definition,
( sQ161_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
( sQ127_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f258,f1305,f1156]) ).
fof(f1320,definition,
( sQ164_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1322,plain,
( sQ164_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f1320]) ).
fof(f1323,definition,
( sQ165_spl
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1325,plain,
( sQ165_spl
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f1323]) ).
fof(f1335,definition,
( sQ169_spl
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
( sQ169_spl
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13)) ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1338,definition,
( sQ170_spl
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1340,plain,
( sQ170_spl
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1344,definition,
( sQ172_spl
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
( sQ172_spl
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f1344]) ).
fof(f1347,definition,
( sQ173_spl
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
( sQ173_spl
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f1347]) ).
fof(f1350,definition,
( sQ174_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1352,plain,
( sQ174_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f1350]) ).
fof(f1353,definition,
( sQ175_spl
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1355,plain,
( sQ175_spl
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f1353]) ).
fof(f1356,definition,
( sQ176_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1358,plain,
( sQ176_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1359,definition,
( sQ177_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1361,plain,
( sQ177_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f1359]) ).
fof(f1362,definition,
( sQ178_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1365,definition,
( sQ179_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1368,definition,
( sQ180_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1393,definition,
( sQ187_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( sQ187_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f1393]) ).
fof(f1396,definition,
( sQ188_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1398,plain,
( sQ188_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1408,definition,
( sQ192_spl
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1410,plain,
( sQ192_spl
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f1408]) ).
fof(f1420,definition,
( sQ196_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( sQ196_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1426,definition,
( sQ198_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1428,plain,
( sQ198_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1426]) ).
fof(f1432,definition,
( sQ200_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1433,plain,
( ~ sQ200_spl
| h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1432]) ).
fof(f1434,plain,
( sQ200_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1432]) ).
fof(f1438,definition,
( sQ202_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1441,definition,
( sQ203_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1505,definition,
( sQ223_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1507,plain,
( sQ223_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1505]) ).
fof(f1508,definition,
( sQ224_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1511,definition,
( sQ225_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1514,definition,
( sQ226_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1533,definition,
( sQ231_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1535,plain,
( sQ231_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1533]) ).
fof(f1536,definition,
( sQ232_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1538,plain,
( sQ232_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f1536]) ).
fof(f1539,definition,
( sQ233_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1541,plain,
( sQ233_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1542,definition,
( sQ234_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1544,plain,
( sQ234_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f1542]) ).
fof(f1545,definition,
( sQ235_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
( sQ235_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f1545]) ).
fof(f1548,definition,
( sQ236_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1549,plain,
( ~ sQ236_spl
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f1548]) ).
fof(f1550,plain,
( sQ236_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f1548]) ).
fof(f1551,definition,
( sQ237_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1553,plain,
( sQ237_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1554,definition,
( sQ238_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1555,plain,
( ~ sQ238_spl
| h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f1554]) ).
fof(f1556,plain,
( sQ238_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f1554]) ).
fof(f1557,definition,
( sQ239_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1559,plain,
( sQ239_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1557]) ).
fof(f1560,definition,
( sQ240_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1562,plain,
( sQ240_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f1560]) ).
fof(f1563,definition,
( sQ241_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( sQ241_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f1563]) ).
fof(f1566,definition,
( sQ242_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1568,plain,
( sQ242_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f1566]) ).
fof(f1569,definition,
( sQ243_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1570,plain,
( ~ sQ243_spl
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f1569]) ).
fof(f1571,plain,
( sQ243_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f1569]) ).
fof(f1572,definition,
( sQ244_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
( sQ244_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f1572]) ).
fof(f1575,definition,
( sQ245_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1577,plain,
( sQ245_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f1575]) ).
fof(f1578,definition,
( sQ246_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1580,plain,
( sQ246_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1578]) ).
fof(f1581,definition,
( sQ247_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1584,definition,
( sQ248_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1587,definition,
( sQ249_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1602,definition,
( sQ253_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1604,plain,
( sQ253_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1605,plain,
( ~ sQ253_spl
| sQ249_spl
| sQ248_spl
| sQ247_spl
| ~ sQ246_spl
| ~ sQ245_spl
| ~ sQ244_spl
| ~ sQ243_spl
| ~ sQ242_spl
| ~ sQ241_spl
| ~ sQ240_spl
| ~ sQ239_spl
| ~ sQ238_spl
| ~ sQ237_spl
| ~ sQ236_spl
| ~ sQ235_spl
| ~ sQ234_spl
| ~ sQ233_spl
| ~ sQ232_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f315,f1533,f1536,f1539,f1542,f1545,f1548,f1551,f1554,f1557,f1560,f1563,f1566,f1569,f1572,f1575,f1578,f1581,f1584,f1587,f1602]) ).
fof(f1606,definition,
( sQ254_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1610,plain,
( sQ47_spl
| sQ254_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f320,f1244,f1606,f864]) ).
fof(f1617,definition,
( sQ255_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1621,plain,
( sQ111_spl
| sQ255_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f331,f1305,f1617,f1104]) ).
fof(f1640,definition,
( sQ259_spl
<=> h1(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1641,plain,
( ~ sQ259_spl
| h1(e13) = e20 ),
inference(component_clause,[status(thm)],[f1640]) ).
fof(f1642,plain,
( sQ259_spl
| h1(e13) != e20 ),
inference(component_clause,[status(thm)],[f1640]) ).
fof(f1643,plain,
( ~ sQ259_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f342,f1362,f1640]) ).
fof(f1645,definition,
( sQ260_spl
<=> h1(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1646,plain,
( ~ sQ260_spl
| h1(e10) = e21 ),
inference(component_clause,[status(thm)],[f1645]) ).
fof(f1647,plain,
( sQ260_spl
| h1(e10) != e21 ),
inference(component_clause,[status(thm)],[f1645]) ).
fof(f1649,definition,
( sQ261_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1650,plain,
( ~ sQ261_spl
| h1(e11) = e21 ),
inference(component_clause,[status(thm)],[f1649]) ).
fof(f1651,plain,
( sQ261_spl
| h1(e11) != e21 ),
inference(component_clause,[status(thm)],[f1649]) ).
fof(f1652,plain,
( ~ sQ261_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f346,f1365,f1649]) ).
fof(f1653,definition,
( sQ262_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1654,plain,
( ~ sQ262_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f1653]) ).
fof(f1657,definition,
( sQ263_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1658,plain,
( ~ sQ263_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f1657]) ).
fof(f1662,definition,
( sQ264_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1663,plain,
( ~ sQ264_spl
| h1(e10) = e22 ),
inference(component_clause,[status(thm)],[f1662]) ).
fof(f1666,definition,
( sQ265_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1667,plain,
( ~ sQ265_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1670,definition,
( sQ266_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1671,plain,
( ~ sQ266_spl
| h1(e12) = e22 ),
inference(component_clause,[status(thm)],[f1670]) ).
fof(f1673,plain,
( ~ sQ266_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f353,f1368,f1670]) ).
fof(f1674,definition,
( sQ267_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1675,plain,
( ~ sQ267_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f1674]) ).
fof(f1678,plain,
( sQ267_spl
| sQ266_spl
| sQ265_spl
| sQ264_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f355,f1368,f1662,f1666,f1670,f1674]) ).
fof(f1683,definition,
( sQ269_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1684,plain,
( ~ sQ269_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1691,definition,
( sQ271_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1692,plain,
( ~ sQ271_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f1691]) ).
fof(f1696,definition,
( sQ272_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( ~ sQ272_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1698,plain,
( sQ272_spl
| h2(e10) != e21 ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1700,definition,
( sQ273_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1701,plain,
( ~ sQ273_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f1700]) ).
fof(f1704,definition,
( sQ274_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1705,plain,
( ~ sQ274_spl
| h2(e12) = e21 ),
inference(component_clause,[status(thm)],[f1704]) ).
fof(f1706,plain,
( sQ274_spl
| h2(e12) != e21 ),
inference(component_clause,[status(thm)],[f1704]) ).
fof(f1708,definition,
( sQ275_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f1709,plain,
( ~ sQ275_spl
| h2(e13) = e21 ),
inference(component_clause,[status(thm)],[f1708]) ).
fof(f1710,plain,
( sQ275_spl
| h2(e13) != e21 ),
inference(component_clause,[status(thm)],[f1708]) ).
fof(f1711,plain,
( ~ sQ275_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f366,f1438,f1708]) ).
fof(f1713,definition,
( sQ276_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f1714,plain,
( ~ sQ276_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f1713]) ).
fof(f1717,definition,
( sQ277_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f1718,plain,
( ~ sQ277_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f1717]) ).
fof(f1721,definition,
( sQ278_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f1722,plain,
( ~ sQ278_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f1721]) ).
fof(f1725,definition,
( sQ279_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f1726,plain,
( ~ sQ279_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1729,plain,
( sQ279_spl
| sQ278_spl
| sQ277_spl
| sQ276_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f373,f1441,f1713,f1717,f1721,f1725]) ).
fof(f1730,definition,
( sQ280_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f1731,plain,
( ~ sQ280_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f1730]) ).
fof(f1732,plain,
( sQ280_spl
| h3(e10) != e20 ),
inference(component_clause,[status(thm)],[f1730]) ).
fof(f1733,plain,
( ~ sQ280_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f375,f1508,f1730]) ).
fof(f1734,definition,
( sQ281_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f1735,plain,
( ~ sQ281_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f1734]) ).
fof(f1742,definition,
( sQ283_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f1743,plain,
( ~ sQ283_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f1742]) ).
fof(f1747,definition,
( sQ284_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f1748,plain,
( ~ sQ284_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f1747]) ).
fof(f1751,definition,
( sQ285_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f1752,plain,
( ~ sQ285_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f1751]) ).
fof(f1753,plain,
( sQ285_spl
| h3(e11) != e21 ),
inference(component_clause,[status(thm)],[f1751]) ).
fof(f1754,plain,
( ~ sQ285_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f382,f1511,f1751]) ).
fof(f1759,definition,
( sQ287_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f1760,plain,
( ~ sQ287_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f1759]) ).
fof(f1764,definition,
( sQ288_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f1765,plain,
( ~ sQ288_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f1764]) ).
fof(f1768,definition,
( sQ289_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f1769,plain,
( ~ sQ289_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f1768]) ).
fof(f1776,definition,
( sQ291_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f1778,plain,
( sQ291_spl
| h3(e13) != e22 ),
inference(component_clause,[status(thm)],[f1776]) ).
fof(f1779,plain,
( ~ sQ291_spl
| ~ sQ226_spl ),
inference(split_clause,[status(thm)],[f390,f1514,f1776]) ).
fof(f1781,definition,
( sQ292_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f1782,plain,
( ~ sQ292_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1783,plain,
( sQ292_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f1781]) ).
fof(f1784,plain,
( ~ sQ292_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f393,f1581,f1781]) ).
fof(f1785,definition,
( sQ293_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f1786,plain,
( ~ sQ293_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f1785]) ).
fof(f1789,definition,
( sQ294_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f1790,plain,
( ~ sQ294_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f1789]) ).
fof(f1793,definition,
( sQ295_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f1794,plain,
( ~ sQ295_spl
| h4(e13) = e20 ),
inference(component_clause,[status(thm)],[f1793]) ).
fof(f1798,definition,
( sQ296_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f1799,plain,
( ~ sQ296_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f1798]) ).
fof(f1802,definition,
( sQ297_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f1803,plain,
( ~ sQ297_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f1802]) ).
fof(f1804,plain,
( sQ297_spl
| h4(e11) != e21 ),
inference(component_clause,[status(thm)],[f1802]) ).
fof(f1805,plain,
( ~ sQ297_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f400,f1584,f1802]) ).
fof(f1806,definition,
( sQ298_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f1807,plain,
( ~ sQ298_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f1806]) ).
fof(f1815,definition,
( sQ300_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f1816,plain,
( ~ sQ300_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f1815]) ).
fof(f1819,definition,
( sQ301_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f1820,plain,
( ~ sQ301_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f1819]) ).
fof(f1823,definition,
( sQ302_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f1824,plain,
( ~ sQ302_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1825,plain,
( sQ302_spl
| h4(e12) != e22 ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1826,plain,
( ~ sQ302_spl
| ~ sQ249_spl ),
inference(split_clause,[status(thm)],[f407,f1587,f1823]) ).
fof(f1832,definition,
( sQ304_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f1840,plain,
( ~ sQ61_spl
| sQ304_spl
| ~ sQ254_spl ),
inference(split_clause,[status(thm)],[f418,f1606,f1832,f910]) ).
fof(f1843,definition,
( sQ305_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( sQ119_spl
| sQ305_spl
| ~ sQ255_spl ),
inference(split_clause,[status(thm)],[f424,f1617,f1843,f1130]) ).
fof(f1854,definition,
( sQ306_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f1857,plain,
( sQ51_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f435,f1832,f1854,f877]) ).
fof(f1858,plain,
( sQ15_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f436,f1832,f1854,f760]) ).
fof(f1859,plain,
( ~ sQ0_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f437,f1832,f1854,f712]) ).
fof(f1860,plain,
( ~ sQ20_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f438,f1832,f1854,f777]) ).
fof(f1865,definition,
( sQ307_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f1868,plain,
( sQ115_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f446,f1843,f1865,f1117]) ).
fof(f1869,plain,
( sQ79_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f447,f1843,f1865,f1000]) ).
fof(f1870,plain,
( ~ sQ64_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f448,f1843,f1865,f952]) ).
fof(f1871,plain,
( ~ sQ84_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f449,f1843,f1865,f1017]) ).
fof(f1872,plain,
( ~ sQ104_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f450,f1843,f1865,f1082]) ).
fof(f1876,definition,
( sQ308_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f1879,plain,
( sQ46_spl
| sQ308_spl
| ~ sQ306_spl ),
inference(split_clause,[status(thm)],[f457,f1854,f1876,f861]) ).
fof(f1885,plain,
( ~ sQ308_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f463,f1854,f1876]) ).
fof(f1887,definition,
( sQ309_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f1890,plain,
( sQ110_spl
| sQ309_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f468,f1865,f1887,f1101]) ).
fof(f1896,plain,
( ~ sQ309_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f474,f1865,f1887]) ).
fof(f1898,definition,
( sQ310_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f1901,plain,
( sQ42_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f479,f1876,f1898,f848]) ).
fof(f1903,plain,
( ~ sQ2_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f481,f1876,f1898,f718]) ).
fof(f1905,plain,
( ~ sQ42_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f483,f1876,f1898,f848]) ).
fof(f1907,plain,
( ~ sQ310_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f485,f1876,f1898]) ).
fof(f1909,definition,
( sQ311_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f1912,plain,
( sQ106_spl
| sQ311_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f490,f1887,f1909,f1088]) ).
fof(f1914,plain,
( ~ sQ66_spl
| sQ311_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f492,f1887,f1909,f958]) ).
fof(f1916,plain,
( ~ sQ106_spl
| sQ311_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f494,f1887,f1909,f1088]) ).
fof(f1918,plain,
( ~ sQ311_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f496,f1887,f1909]) ).
fof(f1920,definition,
( sQ312_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f1923,plain,
( sQ38_spl
| sQ312_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f501,f1898,f1920,f835]) ).
fof(f1929,plain,
( ~ sQ312_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f507,f1898,f1920]) ).
fof(f1931,definition,
( sQ313_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f1934,plain,
( sQ102_spl
| sQ313_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f512,f1909,f1931,f1075]) ).
fof(f1935,plain,
( sQ90_spl
| sQ313_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f513,f1909,f1931,f1036]) ).
fof(f1939,plain,
( ~ sQ125_spl
| sQ313_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f517,f1909,f1931,f1150]) ).
fof(f1940,plain,
( ~ sQ313_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f518,f1909,f1931]) ).
fof(f1942,definition,
( sQ314_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
( sQ34_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f523,f1920,f1942,f822]) ).
fof(f1946,plain,
( sQ10_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f524,f1920,f1942,f744]) ).
fof(f1947,plain,
( ~ sQ0_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f525,f1920,f1942,f712]) ).
fof(f1948,plain,
( ~ sQ20_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f526,f1920,f1942,f777]) ).
fof(f1951,plain,
( ~ sQ314_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f529,f1920,f1942]) ).
fof(f1952,plain,
( sQ60_spl
| sQ40_spl
| sQ20_spl
| sQ0_spl
| ~ sQ10_spl
| ~ sQ34_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f530,f1920,f822,f744,f712,f777,f842,f907]) ).
fof(f1953,definition,
( sQ315_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f1956,plain,
( sQ98_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f534,f1931,f1953,f1062]) ).
fof(f1957,plain,
( sQ74_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f535,f1931,f1953,f984]) ).
fof(f1958,plain,
( ~ sQ64_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f536,f1931,f1953,f952]) ).
fof(f1963,plain,
( sQ124_spl
| sQ104_spl
| sQ84_spl
| sQ64_spl
| ~ sQ74_spl
| ~ sQ98_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f541,f1931,f1062,f984,f952,f1017,f1082,f1147]) ).
fof(f1964,definition,
( sQ316_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f1967,plain,
( sQ29_spl
| sQ316_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f545,f1942,f1964,f806]) ).
fof(f1973,plain,
( ~ sQ316_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f551,f1942,f1964]) ).
fof(f1975,definition,
( sQ317_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f1978,plain,
( sQ93_spl
| sQ317_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f556,f1953,f1975,f1046]) ).
fof(f1984,plain,
( ~ sQ317_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f562,f1953,f1975]) ).
fof(f1986,definition,
( sQ318_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f1989,plain,
( sQ25_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f567,f1964,f1986,f793]) ).
fof(f1990,plain,
( sQ37_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f568,f1964,f1986,f832]) ).
fof(f1991,plain,
( ~ sQ2_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f569,f1964,f1986,f718]) ).
fof(f1993,plain,
( ~ sQ42_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f571,f1964,f1986,f848]) ).
fof(f1995,plain,
( ~ sQ318_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f573,f1964,f1986]) ).
fof(f1996,plain,
( sQ62_spl
| sQ42_spl
| sQ22_spl
| sQ2_spl
| ~ sQ37_spl
| ~ sQ25_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f574,f1964,f793,f832,f718,f783,f848,f913]) ).
fof(f1997,definition,
( sQ319_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f2000,plain,
( sQ89_spl
| sQ319_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f578,f1975,f1997,f1033]) ).
fof(f2001,plain,
( sQ101_spl
| sQ319_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f579,f1975,f1997,f1072]) ).
fof(f2004,plain,
( ~ sQ106_spl
| sQ319_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f582,f1975,f1997,f1088]) ).
fof(f2007,plain,
( sQ126_spl
| sQ106_spl
| sQ86_spl
| sQ66_spl
| ~ sQ101_spl
| ~ sQ89_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f585,f1975,f1033,f1072,f958,f1023,f1088,f1153]) ).
fof(f2008,definition,
( sQ320_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f2013,plain,
( ~ sQ1_spl
| sQ320_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f591,f1986,f2008,f715]) ).
fof(f2015,plain,
( ~ sQ41_spl
| sQ320_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f593,f1986,f2008,f845]) ).
fof(f2016,plain,
( ~ sQ61_spl
| sQ320_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f594,f1986,f2008,f910]) ).
fof(f2017,plain,
( ~ sQ320_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f595,f1986,f2008]) ).
fof(f2019,definition,
( sQ321_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f2022,plain,
( sQ85_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f600,f1997,f2019,f1020]) ).
fof(f2024,plain,
( ~ sQ65_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f602,f1997,f2019,f955]) ).
fof(f2025,plain,
( ~ sQ85_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f603,f1997,f2019,f1020]) ).
fof(f2027,plain,
( ~ sQ125_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f605,f1997,f2019,f1150]) ).
fof(f2030,definition,
( sQ322_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f2033,plain,
( sQ17_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f611,f2008,f2030,f767]) ).
fof(f2034,plain,
( sQ5_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f612,f2008,f2030,f728]) ).
fof(f2035,plain,
( ~ sQ0_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f613,f2008,f2030,f712]) ).
fof(f2036,plain,
( ~ sQ20_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f614,f2008,f2030,f777]) ).
fof(f2039,plain,
( ~ sQ322_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f617,f2008,f2030]) ).
fof(f2041,definition,
( sQ323_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f2044,plain,
( sQ81_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f622,f2019,f2041,f1007]) ).
fof(f2045,plain,
( sQ69_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f623,f2019,f2041,f968]) ).
fof(f2046,plain,
( ~ sQ64_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f624,f2019,f2041,f952]) ).
fof(f2047,plain,
( ~ sQ84_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f625,f2019,f2041,f1017]) ).
fof(f2052,definition,
( sQ324_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f2055,plain,
( sQ12_spl
| sQ324_spl
| ~ sQ322_spl ),
inference(split_clause,[status(thm)],[f633,f2030,f2052,f751]) ).
fof(f2061,plain,
( ~ sQ324_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f639,f2030,f2052]) ).
fof(f2063,definition,
( sQ325_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f2066,plain,
( sQ76_spl
| sQ325_spl
| ~ sQ323_spl ),
inference(split_clause,[status(thm)],[f644,f2041,f2063,f991]) ).
fof(f2074,definition,
( sQ326_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2077,plain,
( sQ8_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f655,f2052,f2074,f738]) ).
fof(f2078,plain,
( sQ32_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f656,f2052,f2074,f816]) ).
fof(f2079,plain,
( ~ sQ2_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f657,f2052,f2074,f718]) ).
fof(f2081,plain,
( ~ sQ42_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f659,f2052,f2074,f848]) ).
fof(f2083,plain,
( ~ sQ326_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f661,f2052,f2074]) ).
fof(f2085,definition,
( sQ327_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2089,plain,
( sQ96_spl
| sQ327_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f667,f2063,f2085,f1056]) ).
fof(f2090,plain,
( ~ sQ66_spl
| sQ327_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f668,f2063,f2085,f958]) ).
fof(f2092,plain,
( ~ sQ106_spl
| sQ327_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f670,f2063,f2085,f1088]) ).
fof(f2096,definition,
( sQ328_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2099,plain,
( sQ4_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f677,f2074,f2096,f725]) ).
fof(f2100,plain,
( sQ16_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f678,f2074,f2096,f764]) ).
fof(f2101,plain,
( ~ sQ1_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f679,f2074,f2096,f715]) ).
fof(f2103,plain,
( ~ sQ41_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f681,f2074,f2096,f845]) ).
fof(f2104,plain,
( ~ sQ61_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f682,f2074,f2096,f910]) ).
fof(f2105,plain,
( ~ sQ328_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f683,f2074,f2096]) ).
fof(f2107,definition,
( sQ329_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f2110,plain,
( sQ68_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f688,f2085,f2107,f965]) ).
fof(f2111,plain,
( sQ80_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f689,f2085,f2107,f1004]) ).
fof(f2112,plain,
( ~ sQ65_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f690,f2085,f2107,f955]) ).
fof(f2113,plain,
( ~ sQ85_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f691,f2085,f2107,f1020]) ).
fof(f2115,plain,
( ~ sQ125_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f693,f2085,f2107,f1150]) ).
fof(f2118,plain,
( sQ0_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f697,f2096,f712]) ).
fof(f2120,plain,
( ~ sQ0_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f699,f2096,f712]) ).
fof(f2121,plain,
( ~ sQ20_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f700,f2096,f777]) ).
fof(f2125,plain,
( sQ64_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f705,f2107,f952]) ).
fof(f2127,plain,
( ~ sQ64_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f707,f2107,f952]) ).
fof(f2128,plain,
( ~ sQ84_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f708,f2107,f1017]) ).
fof(f2134,plain,
( sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f282,f1604]) ).
fof(f2135,plain,
sQ253_spl,
inference(contradiction_clause,[status(thm)],[f2134]) ).
fof(f2152,plain,
( ~ sQ298_spl
| ~ sQ302_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1824,f1807]) ).
fof(f2153,plain,
( ~ sQ298_spl
| ~ sQ302_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2152,f221]) ).
fof(f2154,plain,
( ~ sQ298_spl
| ~ sQ302_spl ),
inference(contradiction_clause,[status(thm)],[f2153]) ).
fof(f2155,plain,
( ~ sQ297_spl
| ~ sQ301_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1820,f1803]) ).
fof(f2156,plain,
( ~ sQ297_spl
| ~ sQ301_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2155,f221]) ).
fof(f2157,plain,
( ~ sQ297_spl
| ~ sQ301_spl ),
inference(contradiction_clause,[status(thm)],[f2156]) ).
fof(f2164,plain,
( ~ sQ287_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f278,f1760]) ).
fof(f2165,plain,
( ~ sQ287_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2164,f221]) ).
fof(f2166,plain,
~ sQ287_spl,
inference(contradiction_clause,[status(thm)],[f2165]) ).
fof(f2171,plain,
( ~ sQ285_spl
| ~ sQ289_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1769,f1752]) ).
fof(f2172,plain,
( ~ sQ285_spl
| ~ sQ289_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2171,f221]) ).
fof(f2173,plain,
( ~ sQ285_spl
| ~ sQ289_spl ),
inference(contradiction_clause,[status(thm)],[f2172]) ).
fof(f2177,plain,
( ~ sQ283_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f278,f1743]) ).
fof(f2178,plain,
( ~ sQ283_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2177,f219]) ).
fof(f2179,plain,
~ sQ283_spl,
inference(contradiction_clause,[status(thm)],[f2178]) ).
fof(f2181,plain,
( ~ sQ279_spl
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f1726,f274]) ).
fof(f2182,plain,
( ~ sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2181,f221]) ).
fof(f2183,plain,
~ sQ279_spl,
inference(contradiction_clause,[status(thm)],[f2182]) ).
fof(f2187,plain,
( ~ sQ274_spl
| ~ sQ278_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1722,f1705]) ).
fof(f2188,plain,
( ~ sQ274_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2187,f221]) ).
fof(f2189,plain,
( ~ sQ274_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f2188]) ).
fof(f2190,plain,
( ~ sQ273_spl
| ~ sQ277_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1718,f1701]) ).
fof(f2191,plain,
( ~ sQ273_spl
| ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2190,f221]) ).
fof(f2192,plain,
( ~ sQ273_spl
| ~ sQ277_spl ),
inference(contradiction_clause,[status(thm)],[f2191]) ).
fof(f2193,plain,
( ~ sQ272_spl
| ~ sQ276_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1714,f1697]) ).
fof(f2194,plain,
( ~ sQ272_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2193,f221]) ).
fof(f2195,plain,
( ~ sQ272_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f2194]) ).
fof(f2196,plain,
( ~ sQ271_spl
| ~ sQ275_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1709,f1692]) ).
fof(f2197,plain,
( ~ sQ271_spl
| ~ sQ275_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2196,f218]) ).
fof(f2198,plain,
( ~ sQ271_spl
| ~ sQ275_spl ),
inference(contradiction_clause,[status(thm)],[f2197]) ).
fof(f2201,plain,
( ~ sQ267_spl
| e22 = e20 ),
inference(backward_demodulation,[status(thm)],[f1675,f270]) ).
fof(f2202,plain,
( ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2201,f219]) ).
fof(f2203,plain,
~ sQ267_spl,
inference(contradiction_clause,[status(thm)],[f2202]) ).
fof(f2207,plain,
( ~ sQ262_spl
| ~ sQ266_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1671,f1654]) ).
fof(f2208,plain,
( ~ sQ262_spl
| ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2207,f221]) ).
fof(f2209,plain,
( ~ sQ262_spl
| ~ sQ266_spl ),
inference(contradiction_clause,[status(thm)],[f2208]) ).
fof(f2213,plain,
( ~ sQ260_spl
| ~ sQ264_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1663,f1646]) ).
fof(f2214,plain,
( ~ sQ260_spl
| ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2213,f221]) ).
fof(f2215,plain,
( ~ sQ260_spl
| ~ sQ264_spl ),
inference(contradiction_clause,[status(thm)],[f2214]) ).
fof(f2216,plain,
( ~ sQ259_spl
| ~ sQ263_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1658,f1641]) ).
fof(f2217,plain,
( ~ sQ259_spl
| ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2216,f218]) ).
fof(f2218,plain,
( ~ sQ259_spl
| ~ sQ263_spl ),
inference(contradiction_clause,[status(thm)],[f2217]) ).
fof(f2219,plain,
( ~ sQ295_spl
| e23 = e20 ),
inference(backward_demodulation,[status(thm)],[f282,f1794]) ).
fof(f2220,plain,
( ~ sQ295_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2219,f220]) ).
fof(f2221,plain,
~ sQ295_spl,
inference(contradiction_clause,[status(thm)],[f2220]) ).
fof(f2230,plain,
( ~ sQ294_spl
| ~ sQ302_spl
| e22 = e20 ),
inference(backward_demodulation,[status(thm)],[f1824,f1790]) ).
fof(f2231,plain,
( ~ sQ294_spl
| ~ sQ302_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2230,f219]) ).
fof(f2232,plain,
( ~ sQ294_spl
| ~ sQ302_spl ),
inference(contradiction_clause,[status(thm)],[f2231]) ).
fof(f2235,plain,
( sQ242_spl
| h4(op1(e12,e13)) != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f282,f1568]) ).
fof(f2241,plain,
( ~ sQ280_spl
| ~ sQ284_spl
| e21 = e20 ),
inference(backward_demodulation,[status(thm)],[f1748,f1731]) ).
fof(f2242,plain,
( ~ sQ280_spl
| ~ sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2241,f218]) ).
fof(f2243,plain,
( ~ sQ280_spl
| ~ sQ284_spl ),
inference(contradiction_clause,[status(thm)],[f2242]) ).
fof(f2257,plain,
( sQ275_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f274,f1710]) ).
fof(f2258,plain,
( sQ275_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2257]) ).
fof(f2259,plain,
sQ275_spl,
inference(contradiction_clause,[status(thm)],[f2258]) ).
fof(f2268,plain,
( sQ259_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f270,f1642]) ).
fof(f2269,plain,
( sQ259_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2268]) ).
fof(f2270,plain,
sQ259_spl,
inference(contradiction_clause,[status(thm)],[f2269]) ).
fof(f2271,plain,
( ~ sQ292_spl
| ~ sQ296_spl
| e21 = e20 ),
inference(backward_demodulation,[status(thm)],[f1799,f1782]) ).
fof(f2272,plain,
( ~ sQ292_spl
| ~ sQ296_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2271,f218]) ).
fof(f2273,plain,
( ~ sQ292_spl
| ~ sQ296_spl ),
inference(contradiction_clause,[status(thm)],[f2272]) ).
fof(f2277,plain,
( ~ sQ281_spl
| ~ sQ285_spl
| e21 = e20 ),
inference(backward_demodulation,[status(thm)],[f1752,f1735]) ).
fof(f2278,plain,
( ~ sQ281_spl
| ~ sQ285_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2277,f218]) ).
fof(f2279,plain,
( ~ sQ281_spl
| ~ sQ285_spl ),
inference(contradiction_clause,[status(thm)],[f2278]) ).
fof(f2280,plain,
( ~ sQ280_spl
| ~ sQ288_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1765,f1731]) ).
fof(f2281,plain,
( ~ sQ280_spl
| ~ sQ288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2280,f219]) ).
fof(f2282,plain,
( ~ sQ280_spl
| ~ sQ288_spl ),
inference(contradiction_clause,[status(thm)],[f2281]) ).
fof(f2297,plain,
( ~ sQ292_spl
| ~ sQ300_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1816,f1782]) ).
fof(f2298,plain,
( ~ sQ292_spl
| ~ sQ300_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2297,f219]) ).
fof(f2299,plain,
( ~ sQ292_spl
| ~ sQ300_spl ),
inference(contradiction_clause,[status(thm)],[f2298]) ).
fof(f2313,plain,
op1(e12,e13) != e11,
inference(backward_demodulation,[status(thm)],[f265,f139]) ).
fof(f2314,plain,
op1(e11,e13) != e11,
inference(backward_demodulation,[status(thm)],[f265,f138]) ).
fof(f2316,plain,
( ~ sQ33_spl
| e11 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f820,f152]) ).
fof(f2336,plain,
( ~ sQ108_spl
| ~ sQ109_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1099,f1096]) ).
fof(f2337,plain,
( ~ sQ108_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2336,f218]) ).
fof(f2338,plain,
( ~ sQ108_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f2337]) ).
fof(f2345,plain,
( ~ sQ116_spl
| ~ sQ118_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1128,f1122]) ).
fof(f2346,plain,
( ~ sQ116_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2345,f219]) ).
fof(f2347,plain,
( ~ sQ116_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f2346]) ).
fof(f2349,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| e23 = e21 ),
inference(backward_demodulation,[status(thm)],[f1066,f1060]) ).
fof(f2350,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2349,f222]) ).
fof(f2351,plain,
( ~ sQ97_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f2350]) ).
fof(f2352,plain,
( ~ sQ73_spl
| ~ sQ75_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f988,f982]) ).
fof(f2353,plain,
( ~ sQ73_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2352,f222]) ).
fof(f2354,plain,
( ~ sQ73_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f2353]) ).
fof(f2355,plain,
( ~ sQ88_spl
| ~ sQ91_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1040,f1031]) ).
fof(f2356,plain,
( ~ sQ88_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2355,f220]) ).
fof(f2357,plain,
( ~ sQ88_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f2356]) ).
fof(f2358,plain,
( ~ sQ100_spl
| ~ sQ103_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1079,f1070]) ).
fof(f2359,plain,
( ~ sQ100_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2358,f220]) ).
fof(f2360,plain,
( ~ sQ100_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f2359]) ).
fof(f2367,plain,
op1(e13,e10) != e11,
inference(forward_demodulation,[status(thm)],[f265,f160]) ).
fof(f2375,plain,
( ~ sQ30_spl
| op1(e11,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f810,f148]) ).
fof(f2379,plain,
( ~ sQ14_spl
| op1(e10,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f758,f145]) ).
fof(f2381,plain,
( ~ sQ14_spl
| op1(e10,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f758,f142]) ).
fof(f2384,plain,
( ~ sQ54_spl
| op1(e13,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f888,f158]) ).
fof(f2385,plain,
( ~ sQ54_spl
| op1(e12,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f888,f127]) ).
fof(f2386,plain,
( ~ sQ54_spl
| op1(e11,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f888,f126]) ).
fof(f2387,plain,
( ~ sQ54_spl
| op1(e10,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f888,f124]) ).
fof(f2395,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f758,f755]) ).
fof(f2396,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2395,f215]) ).
fof(f2397,plain,
( ~ sQ13_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2396]) ).
fof(f2406,plain,
( ~ sQ44_spl
| op1(e12,e12) != e10 ),
inference(backward_demodulation,[status(thm)],[f856,f157]) ).
fof(f2407,plain,
( ~ sQ44_spl
| op1(e12,e11) != e10 ),
inference(backward_demodulation,[status(thm)],[f856,f156]) ).
fof(f2409,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f2406,f842,f855]) ).
fof(f2410,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f810,f804]) ).
fof(f2411,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2410,f213]) ).
fof(f2412,plain,
( ~ sQ28_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2411]) ).
fof(f2417,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f888,f882]) ).
fof(f2418,plain,
( ~ sQ52_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2417,f213]) ).
fof(f2419,plain,
( ~ sQ52_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f2418]) ).
fof(f2420,plain,
op1(e13,e11) != e11,
inference(forward_demodulation,[status(thm)],[f265,f162]) ).
fof(f2423,plain,
( ~ sQ27_spl
| op1(e11,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f800,f149]) ).
fof(f2424,plain,
( ~ sQ27_spl
| op1(e11,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f800,f147]) ).
fof(f2430,plain,
( ~ sQ11_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f748,f129]) ).
fof(f2432,plain,
( ~ sQ39_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f839,f155]) ).
fof(f2433,plain,
( ~ sQ39_spl
| op1(e11,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f839,f125]) ).
fof(f2440,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f748,f742]) ).
fof(f2441,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2440,f216]) ).
fof(f2442,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2441]) ).
fof(f2443,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f800,f791]) ).
fof(f2444,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2443,f214]) ).
fof(f2445,plain,
( ~ sQ24_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2444]) ).
fof(f2451,plain,
( ~ sQ19_spl
| e13 != op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f774,f146]) ).
fof(f2461,plain,
( ~ sQ80_spl
| op2(e20,e20) != e20 ),
inference(forward_demodulation,[status(thm)],[f1005,f164]) ).
fof(f2467,plain,
( ~ sQ115_spl
| op2(e20,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1118,f166]) ).
fof(f2468,plain,
( ~ sQ80_spl
| e20 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1005,f167]) ).
fof(f2471,plain,
( ~ sQ56_spl
| ~ sQ58_spl
| e12 = e10 ),
inference(backward_demodulation,[status(thm)],[f901,f895]) ).
fof(f2472,plain,
( ~ sQ56_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2471,f213]) ).
fof(f2473,plain,
( ~ sQ56_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2472]) ).
fof(f2474,plain,
( sQ61_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f265,f912]) ).
fof(f2475,plain,
( sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2474]) ).
fof(f2476,plain,
sQ61_spl,
inference(contradiction_clause,[status(thm)],[f2475]) ).
fof(f2477,plain,
( ~ sQ60_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f265,f908]) ).
fof(f2478,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2477,f212]) ).
fof(f2479,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f2478]) ).
fof(f2488,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f891,f888]) ).
fof(f2489,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2488,f217]) ).
fof(f2490,plain,
( ~ sQ54_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2489]) ).
fof(f2492,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2384,f874,f887]) ).
fof(f2493,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2385,f835,f887]) ).
fof(f2496,plain,
( ~ sQ39_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2432,f851,f838]) ).
fof(f2497,plain,
op1(e13,e12) != e11,
inference(forward_demodulation,[status(thm)],[f265,f163]) ).
fof(f2499,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f761,f758]) ).
fof(f2500,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2499,f217]) ).
fof(f2501,plain,
( ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2500]) ).
fof(f2503,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f813,f810]) ).
fof(f2504,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2503,f217]) ).
fof(f2505,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2504]) ).
fof(f2509,plain,
( ~ sQ80_spl
| e20 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f1005,f168]) ).
fof(f2511,plain,
( ~ sQ115_spl
| op2(e22,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1118,f169]) ).
fof(f2512,plain,
( ~ sQ68_spl
| e20 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f966,f170]) ).
fof(f2516,plain,
( ~ sQ96_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1057,f2468]) ).
fof(f2517,plain,
( ~ sQ96_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f2516]) ).
fof(f2524,plain,
( ~ sQ115_spl
| op2(e21,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1118,f168]) ).
fof(f2525,plain,
( ~ sQ84_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1018,f2512]) ).
fof(f2526,plain,
( ~ sQ84_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f2525]) ).
fof(f2527,plain,
( ~ sQ124_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f268,f1148]) ).
fof(f2528,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2527,f218]) ).
fof(f2529,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f2528]) ).
fof(f2530,plain,
( ~ sQ67_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f2467]) ).
fof(f2531,plain,
( ~ sQ67_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f2530]) ).
fof(f2543,plain,
( sQ238_spl
| h4(op1(e11,e13)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f282,f1556]) ).
fof(f2545,plain,
( ~ sQ69_spl
| e21 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f969,f171]) ).
fof(f2546,plain,
( ~ sQ69_spl
| ~ sQ101_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1073,f2545]) ).
fof(f2547,plain,
( ~ sQ69_spl
| ~ sQ101_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2546]) ).
fof(f2548,plain,
( ~ sQ69_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f2547]) ).
fof(f2557,plain,
( sQ234_spl
| h4(op1(e10,e13)) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f282,f1544]) ).
fof(f2562,plain,
( ~ sQ72_spl
| ~ sQ74_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f985,f979]) ).
fof(f2563,plain,
( ~ sQ72_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2562,f219]) ).
fof(f2564,plain,
( ~ sQ72_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2563]) ).
fof(f2566,plain,
( ~ sQ115_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f2511,f1065,f1117]) ).
fof(f2569,plain,
( ~ sQ88_spl
| ~ sQ90_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1037,f1031]) ).
fof(f2570,plain,
( ~ sQ88_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2569,f219]) ).
fof(f2571,plain,
( ~ sQ88_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f2570]) ).
fof(f2574,plain,
( ~ sQ115_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f2524,f1013,f1117]) ).
fof(f2578,plain,
( ~ sQ98_spl
| op2(e20,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f1063,f165]) ).
fof(f2579,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| e12 = e10 ),
inference(backward_demodulation,[status(thm)],[f823,f817]) ).
fof(f2580,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2579,f213]) ).
fof(f2581,plain,
( ~ sQ32_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2580]) ).
fof(f2590,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f745,f2379]) ).
fof(f2591,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2590]) ).
fof(f2592,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2591]) ).
fof(f2600,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f807,f2314]) ).
fof(f2601,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f2600]) ).
fof(f2604,plain,
( ~ sQ123_spl
| op2(e21,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f1144,f180]) ).
fof(f2622,plain,
( sQ125_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f268,f1152]) ).
fof(f2623,plain,
( sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2622]) ).
fof(f2624,plain,
sQ125_spl,
inference(contradiction_clause,[status(thm)],[f2623]) ).
fof(f2629,plain,
( ~ sQ91_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1040,f2604]) ).
fof(f2630,plain,
( ~ sQ91_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f2629]) ).
fof(f2633,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1008,f1005]) ).
fof(f2634,plain,
( ~ sQ80_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2633,f218]) ).
fof(f2635,plain,
( ~ sQ80_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f2634]) ).
fof(f2636,plain,
( ~ sQ80_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f2461,f952,f1004]) ).
fof(f2638,plain,
( ~ sQ80_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f2509,f1108,f1004]) ).
fof(f2642,plain,
( ~ sQ120_spl
| ~ sQ123_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1144,f1135]) ).
fof(f2643,plain,
( ~ sQ120_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2642,f220]) ).
fof(f2644,plain,
( ~ sQ120_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f2643]) ).
fof(f2655,plain,
( ~ sQ53_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f885,f2420]) ).
fof(f2656,plain,
( ~ sQ53_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2655]) ).
fof(f2657,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f2656]) ).
fof(f2661,plain,
( ~ sQ27_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2423,f786,f799]) ).
fof(f2666,plain,
( ~ sQ63_spl
| e11 = e13 ),
inference(backward_demodulation,[status(thm)],[f917,f265]) ).
fof(f2667,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2666,f216]) ).
fof(f2668,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f2667]) ).
fof(f2669,plain,
( ~ sQ44_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2407,f829,f855]) ).
fof(f2672,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f904,f895]) ).
fof(f2673,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2672,f214]) ).
fof(f2674,plain,
( ~ sQ56_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2673]) ).
fof(f2675,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f872,f2367]) ).
fof(f2676,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f2675]) ).
fof(f2679,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f904,f901]) ).
fof(f2680,plain,
( ~ sQ58_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2679,f217]) ).
fof(f2681,plain,
( ~ sQ58_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2680]) ).
fof(f2686,plain,
( ~ sQ11_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2430,f851,f747]) ).
fof(f2687,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2433,f786,f838]) ).
fof(f2690,plain,
( ~ sQ123_spl
| op2(e22,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f1144,f181]) ).
fof(f2691,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f729,f726]) ).
fof(f2692,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2691,f212]) ).
fof(f2693,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2692]) ).
fof(f2698,plain,
( ~ sQ108_spl
| op2(e20,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f1096,f183]) ).
fof(f2699,plain,
op2(e20,e23) != e21,
inference(forward_demodulation,[status(thm)],[f268,f184]) ).
fof(f2700,plain,
( ~ sQ108_spl
| op2(e21,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f1096,f185]) ).
fof(f2716,plain,
( ~ sQ92_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1044,f2700]) ).
fof(f2717,plain,
( ~ sQ92_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f2716]) ).
fof(f2718,plain,
( ~ sQ127_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f1157,f268]) ).
fof(f2719,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2718,f222]) ).
fof(f2720,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f2719]) ).
fof(f2721,plain,
( ~ sQ108_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f2698,f991,f1095]) ).
fof(f2722,plain,
( ~ sQ87_spl
| e23 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f1027,f173]) ).
fof(f2723,plain,
( ~ sQ87_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f2722,f1078,f1026]) ).
fof(f2724,plain,
( ~ sQ104_spl
| ~ sQ107_spl
| e23 = e20 ),
inference(backward_demodulation,[status(thm)],[f1092,f1083]) ).
fof(f2725,plain,
( ~ sQ104_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2724,f220]) ).
fof(f2726,plain,
( ~ sQ104_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f2725]) ).
fof(f2727,plain,
( ~ sQ123_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f2690,f1091,f1143]) ).
fof(f2737,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2451,f786,f773]) ).
fof(f2746,plain,
( ~ sQ78_spl
| e22 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f998,f182]) ).
fof(f2747,plain,
( ~ sQ78_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f2746,f1049,f997]) ).
fof(f2753,plain,
( ~ sQ104_spl
| ~ sQ105_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1086,f1083]) ).
fof(f2754,plain,
( ~ sQ104_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2753,f218]) ).
fof(f2755,plain,
( ~ sQ104_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f2754]) ).
fof(f2757,plain,
( ~ sQ73_spl
| e21 != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f982,f176]) ).
fof(f2772,plain,
( ~ sQ84_spl
| ~ sQ85_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1021,f1018]) ).
fof(f2773,plain,
( ~ sQ84_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2772,f218]) ).
fof(f2774,plain,
( ~ sQ84_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f2773]) ).
fof(f2778,plain,
( ~ sQ73_spl
| op2(e20,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f982,f189]) ).
fof(f2788,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| e13 = e10 ),
inference(backward_demodulation,[status(thm)],[f878,f869]) ).
fof(f2789,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2788,f214]) ).
fof(f2790,plain,
( ~ sQ48_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2789]) ).
fof(f2794,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f813,f804]) ).
fof(f2795,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2794,f214]) ).
fof(f2796,plain,
( ~ sQ28_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2795]) ).
fof(f2798,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| e12 = e11 ),
inference(backward_demodulation,[status(thm)],[f719,f716]) ).
fof(f2799,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2798,f215]) ).
fof(f2800,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2799]) ).
fof(f2801,plain,
( ~ sQ73_spl
| op2(e20,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f982,f191]) ).
fof(f2803,plain,
( ~ sQ62_spl
| e11 = e12 ),
inference(backward_demodulation,[status(thm)],[f914,f265]) ).
fof(f2804,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2803,f215]) ).
fof(f2805,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f2804]) ).
fof(f2821,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f859,f2313]) ).
fof(f2822,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f2821]) ).
fof(f2823,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f768,f765]) ).
fof(f2824,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2823,f212]) ).
fof(f2825,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2824]) ).
fof(f2831,plain,
( ~ sQ27_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2424,f773,f799]) ).
fof(f2837,plain,
( sQ223_spl
| h3(op1(e13,e13)) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f278,f1507]) ).
fof(f2838,plain,
( sQ223_spl
| h3(op1(e13,e13)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f278,f2837]) ).
fof(f2849,plain,
op2(e21,e23) != e21,
inference(backward_demodulation,[status(thm)],[f268,f186]) ).
fof(f2851,plain,
( ~ sQ94_spl
| op2(e21,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f1050,f196]) ).
fof(f2861,plain,
( ~ sQ90_spl
| op2(e21,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1037,f197]) ).
fof(f2867,plain,
( ~ sQ94_spl
| op2(e21,e21) != e22 ),
inference(forward_demodulation,[status(thm)],[f1050,f198]) ).
fof(f2868,plain,
( ~ sQ90_spl
| e22 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1037,f199]) ).
fof(f2869,plain,
( ~ sQ90_spl
| ~ sQ94_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1050,f2868]) ).
fof(f2870,plain,
( ~ sQ90_spl
| ~ sQ94_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2869]) ).
fof(f2871,plain,
( ~ sQ90_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f2870]) ).
fof(f2872,plain,
( ~ sQ97_spl
| ~ sQ98_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1063,f1060]) ).
fof(f2873,plain,
( ~ sQ97_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2872,f221]) ).
fof(f2874,plain,
( ~ sQ97_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f2873]) ).
fof(f2886,plain,
( ~ sQ73_spl
| ~ sQ74_spl
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f985,f982]) ).
fof(f2887,plain,
( ~ sQ73_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2886,f221]) ).
fof(f2888,plain,
( ~ sQ73_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2887]) ).
fof(f2910,plain,
( ~ sQ67_spl
| e23 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f962,f190]) ).
fof(f2912,plain,
( ~ sQ67_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f2910,f1000,f961]) ).
fof(f2939,plain,
( ~ sQ118_spl
| op2(e23,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f1128,f206]) ).
fof(f2958,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| e13 = e10 ),
inference(backward_demodulation,[status(thm)],[f761,f752]) ).
fof(f2959,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2958,f214]) ).
fof(f2960,plain,
( ~ sQ12_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2959]) ).
fof(f2963,plain,
( sQ234_spl
| ~ sQ15_spl
| h4(e13) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f761,f2557]) ).
fof(f2964,plain,
( sQ234_spl
| ~ sQ15_spl
| e23 != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f282,f2963]) ).
fof(f2966,plain,
op2(e23,e20) != e21,
inference(forward_demodulation,[status(thm)],[f268,f208]) ).
fof(f2975,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f761,f755]) ).
fof(f2976,plain,
( ~ sQ13_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2975,f216]) ).
fof(f2977,plain,
( ~ sQ13_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2976]) ).
fof(f2978,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f797,f794]) ).
fof(f2979,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2978,f215]) ).
fof(f2980,plain,
( ~ sQ25_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2979]) ).
fof(f2987,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f800,f794]) ).
fof(f2988,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2987,f216]) ).
fof(f2989,plain,
( ~ sQ25_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2988]) ).
fof(f3004,plain,
( ~ sQ54_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2387,f731,f887]) ).
fof(f3014,plain,
e10 = op1(op1(e13,e11),e13),
inference(forward_demodulation,[status(thm)],[f265,f264]) ).
fof(f3015,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f745,f742]) ).
fof(f3016,plain,
( ~ sQ9_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3015,f215]) ).
fof(f3017,plain,
( ~ sQ9_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f3016]) ).
fof(f3022,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f823,f820]) ).
fof(f3023,plain,
( ~ sQ33_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3022,f215]) ).
fof(f3024,plain,
( ~ sQ33_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f3023]) ).
fof(f3025,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2381,f718,f757]) ).
fof(f3027,plain,
e10 = op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f3028,f3014]) ).
fof(f3028,plain,
e12 = op1(e13,e11),
inference(forward_demodulation,[status(thm)],[f265,f266]) ).
fof(f3029,plain,
e20 = op2(op2(e23,e21),e23),
inference(forward_demodulation,[status(thm)],[f268,f267]) ).
fof(f3030,plain,
( ~ sQ118_spl
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1128,f3029]) ).
fof(f3031,plain,
( ~ sQ118_spl
| ~ sQ111_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1105,f3030]) ).
fof(f3032,plain,
( ~ sQ118_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3031,f220]) ).
fof(f3033,plain,
( ~ sQ118_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3032]) ).
fof(f3034,plain,
( ~ sQ89_spl
| ~ sQ90_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1037,f1034]) ).
fof(f3035,plain,
( ~ sQ89_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3034,f221]) ).
fof(f3036,plain,
( ~ sQ89_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f3035]) ).
fof(f3037,plain,
( ~ sQ68_spl
| ~ sQ70_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f972,f966]) ).
fof(f3038,plain,
( ~ sQ68_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3037,f219]) ).
fof(f3039,plain,
( ~ sQ68_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f3038]) ).
fof(f3044,plain,
( ~ sQ81_spl
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1008,f195]) ).
fof(f3047,plain,
e22 = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f268,f269]) ).
fof(f3050,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f1011,f1008]) ).
fof(f3051,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3050,f221]) ).
fof(f3052,plain,
( ~ sQ81_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f3051]) ).
fof(f3063,plain,
( sQ223_spl
| h3(e11) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f265,f2838]) ).
fof(f3076,plain,
( ~ sQ94_spl
| ~ sQ95_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1053,f1050]) ).
fof(f3077,plain,
( ~ sQ94_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3076,f223]) ).
fof(f3078,plain,
( ~ sQ94_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f3077]) ).
fof(f3083,plain,
( ~ sQ102_spl
| op2(e22,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f1076,f200]) ).
fof(f3088,plain,
( ~ sQ265_spl
| e22 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1667,f272]) ).
fof(f3095,plain,
( sQ54_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f3028,f889]) ).
fof(f3096,plain,
( sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3095]) ).
fof(f3097,plain,
sQ54_spl,
inference(contradiction_clause,[status(thm)],[f3096]) ).
fof(f3104,plain,
( ~ sQ269_spl
| e20 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1684,f276]) ).
fof(f3114,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| e12 = e10 ),
inference(backward_demodulation,[status(thm)],[f758,f752]) ).
fof(f3115,plain,
( ~ sQ12_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3114,f213]) ).
fof(f3116,plain,
( ~ sQ12_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3115]) ).
fof(f3134,plain,
( sQ84_spl
| ~ sQ269_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3104,f1019]) ).
fof(f3135,plain,
( sQ84_spl
| ~ sQ269_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3134]) ).
fof(f3136,plain,
( sQ84_spl
| ~ sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f3135]) ).
fof(f3154,plain,
h4(e10) = op2(op2(e23,e21),e23),
inference(forward_demodulation,[status(thm)],[f268,f283]) ).
fof(f3155,plain,
h4(e10) = op2(e22,e23),
inference(forward_demodulation,[status(thm)],[f3047,f3154]) ).
fof(f3164,plain,
( sQ291_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f278,f1778]) ).
fof(f3165,plain,
( sQ291_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3164]) ).
fof(f3166,plain,
sQ291_spl,
inference(contradiction_clause,[status(thm)],[f3165]) ).
fof(f3176,plain,
( sQ118_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3047,f1129]) ).
fof(f3177,plain,
( sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3176]) ).
fof(f3178,plain,
sQ118_spl,
inference(contradiction_clause,[status(thm)],[f3177]) ).
fof(f3179,plain,
e22 != op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f3047,f209]) ).
fof(f3180,plain,
op2(e23,e22) != e21,
inference(forward_demodulation,[status(thm)],[f268,f211]) ).
fof(f3185,plain,
( ~ sQ98_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f2578,f958,f1062]) ).
fof(f3186,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1112,f2966]) ).
fof(f3187,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f3186]) ).
fof(f3188,plain,
( ~ sQ117_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f3047,f1125]) ).
fof(f3189,plain,
( ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3188,f221]) ).
fof(f3190,plain,
~ sQ117_spl,
inference(contradiction_clause,[status(thm)],[f3189]) ).
fof(f3195,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f268,f284]) ).
fof(f3196,plain,
( sQ297_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3195,f1804]) ).
fof(f3197,plain,
sQ297_spl,
inference(contradiction_clause,[status(thm)],[f3196]) ).
fof(f3198,plain,
h4(e12) = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f268,f285]) ).
fof(f3199,plain,
h4(e12) = e22,
inference(forward_demodulation,[status(thm)],[f3047,f3198]) ).
fof(f3200,plain,
( sQ302_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3199,f1825]) ).
fof(f3201,plain,
sQ302_spl,
inference(contradiction_clause,[status(thm)],[f3200]) ).
fof(f3212,plain,
( ~ sQ65_spl
| ~ sQ265_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f3088,f956]) ).
fof(f3213,plain,
( ~ sQ65_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3212,f221]) ).
fof(f3214,plain,
( ~ sQ65_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f3213]) ).
fof(f3216,plain,
( sQ242_spl
| h4(e10) != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f3027,f2235]) ).
fof(f3217,plain,
( sQ242_spl
| h4(e10) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3199,f3216]) ).
fof(f3218,plain,
( sQ241_spl
| h4(op1(e12,e12)) != op2(e22,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f3199,f1565]) ).
fof(f3219,plain,
( sQ241_spl
| h4(op1(e12,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3199,f3218]) ).
fof(f3220,plain,
( sQ240_spl
| h4(op1(e12,e11)) != op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f3199,f1562]) ).
fof(f3221,plain,
( sQ240_spl
| h4(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f3195,f3220]) ).
fof(f3222,plain,
( sQ244_spl
| h4(e12) != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f3028,f1574]) ).
fof(f3223,plain,
( sQ244_spl
| e22 != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f3199,f3222]) ).
fof(f3224,plain,
( sQ244_spl
| e22 != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f282,f3223]) ).
fof(f3225,plain,
( sQ244_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3195,f3224]) ).
fof(f3226,plain,
( sQ244_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3047,f3225]) ).
fof(f3227,plain,
( sQ244_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3226]) ).
fof(f3228,plain,
sQ244_spl,
inference(contradiction_clause,[status(thm)],[f3227]) ).
fof(f3229,plain,
( ~ sQ81_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f3044,f1033,f1007]) ).
fof(f3235,plain,
( sQ200_spl
| h2(e11) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f265,f1434]) ).
fof(f3236,plain,
( sQ200_spl
| h2(e11) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f274,f3235]) ).
fof(f3237,plain,
( sQ200_spl
| h2(e11) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f274,f3236]) ).
fof(f3249,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| e13 = e10 ),
inference(backward_demodulation,[status(thm)],[f787,f778]) ).
fof(f3250,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3249,f214]) ).
fof(f3251,plain,
( ~ sQ20_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3250]) ).
fof(f3257,plain,
( sQ198_spl
| h2(e12) != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3028,f1428]) ).
fof(f3258,plain,
( sQ198_spl
| h2(e12) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f3257]) ).
fof(f3261,plain,
( sQ196_spl
| h2(e10) != op2(h2(e12),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f3027,f1422]) ).
fof(f3274,plain,
( ~ sQ46_spl
| e10 = e12 ),
inference(backward_demodulation,[status(thm)],[f862,f3027]) ).
fof(f3275,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3274,f213]) ).
fof(f3276,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f3275]) ).
fof(f3282,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| e12 = e10 ),
inference(backward_demodulation,[status(thm)],[f745,f739]) ).
fof(f3283,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3282,f213]) ).
fof(f3284,plain,
( ~ sQ8_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f3283]) ).
fof(f3287,plain,
( sQ192_spl
| h2(op1(e11,e13)) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f1410]) ).
fof(f3295,plain,
( sQ187_spl
| ~ sQ10_spl
| h2(e12) != op2(h2(e10),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f745,f1395]) ).
fof(f3301,plain,
( ~ sQ118_spl
| ~ sQ110_spl
| e20 = e22 ),
inference(backward_demodulation,[status(thm)],[f1102,f3030]) ).
fof(f3302,plain,
( ~ sQ118_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3301,f219]) ).
fof(f3303,plain,
( ~ sQ118_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f3302]) ).
fof(f3305,plain,
( sQ245_spl
| h4(op1(e13,e12)) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f282,f1577]) ).
fof(f3306,plain,
( sQ245_spl
| h4(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3199,f3305]) ).
fof(f3308,plain,
( ~ sQ94_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f2867,f1023,f1049]) ).
fof(f3309,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f3180]) ).
fof(f3310,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f3309]) ).
fof(f3314,plain,
( sQ177_spl
| h1(e11) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f265,f1361]) ).
fof(f3318,plain,
( sQ238_spl
| h4(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3195,f2543]) ).
fof(f3321,plain,
( sQ176_spl
| h1(op1(e13,e12)) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f270,f1358]) ).
fof(f3323,plain,
( sQ200_spl
| ~ sQ85_spl
| h2(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f1021,f3237]) ).
fof(f3327,plain,
( sQ175_spl
| h1(e12) != op2(h1(e13),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3028,f1355]) ).
fof(f3328,plain,
( sQ175_spl
| h1(e12) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f270,f3327]) ).
fof(f3329,plain,
( sQ175_spl
| ~ sQ261_spl
| h1(e12) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1650,f3328]) ).
fof(f3330,plain,
( sQ175_spl
| ~ sQ261_spl
| ~ sQ68_spl
| h1(e12) != e20 ),
inference(forward_demodulation,[status(thm)],[f966,f3329]) ).
fof(f3331,plain,
( sQ174_spl
| h1(op1(e13,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f270,f1352]) ).
fof(f3335,plain,
( ~ sQ105_spl
| ~ sQ106_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1089,f1086]) ).
fof(f3336,plain,
( ~ sQ105_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3335,f221]) ).
fof(f3337,plain,
( ~ sQ105_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f3336]) ).
fof(f3338,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1047,f2849]) ).
fof(f3339,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f3338]) ).
fof(f3340,plain,
( ~ sQ114_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1115,f2939]) ).
fof(f3341,plain,
( ~ sQ114_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f3340]) ).
fof(f3343,plain,
( ~ sQ94_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2851,f1010,f1049]) ).
fof(f3353,plain,
( sQ173_spl
| h1(op1(e12,e13)) != op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f270,f1349]) ).
fof(f3369,plain,
( sQ173_spl
| h1(e10) != op2(h1(e12),e20) ),
inference(backward_demodulation,[status(thm)],[f3027,f3353]) ).
fof(f3383,plain,
( ~ sQ47_spl
| e10 = e13 ),
inference(backward_demodulation,[status(thm)],[f865,f3027]) ).
fof(f3384,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3383,f214]) ).
fof(f3385,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f3384]) ).
fof(f3386,plain,
( ~ sQ33_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2316,f832,f819]) ).
fof(f3408,plain,
( sQ238_spl
| ~ sQ30_spl
| h4(e12) != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f810,f3318]) ).
fof(f3409,plain,
( sQ192_spl
| ~ sQ30_spl
| h2(e12) != op2(h2(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f810,f3287]) ).
fof(f3410,plain,
( sQ238_spl
| ~ sQ30_spl
| e22 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3199,f3408]) ).
fof(f3430,plain,
( sQ242_spl
| ~ sQ118_spl
| h4(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f3030,f3217]) ).
fof(f3437,plain,
( ~ sQ106_spl
| ~ sQ107_spl
| e23 = e22 ),
inference(backward_demodulation,[status(thm)],[f1092,f1089]) ).
fof(f3438,plain,
( ~ sQ106_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3437,f223]) ).
fof(f3439,plain,
( ~ sQ106_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3438]) ).
fof(f3446,plain,
( sQ169_spl
| ~ sQ30_spl
| h1(e12) != op2(h1(e11),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f810,f1337]) ).
fof(f3447,plain,
( sQ169_spl
| ~ sQ30_spl
| h1(e12) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f270,f3446]) ).
fof(f3448,plain,
( sQ177_spl
| h1(e11) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f270,f3314]) ).
fof(f3449,plain,
( sQ177_spl
| h1(e11) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f3448]) ).
fof(f3453,plain,
( sQ165_spl
| h1(op1(e10,e13)) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f270,f1325]) ).
fof(f3459,plain,
( ~ sQ65_spl
| ~ sQ66_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f959,f956]) ).
fof(f3460,plain,
( ~ sQ65_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3459,f221]) ).
fof(f3461,plain,
( ~ sQ65_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f3460]) ).
fof(f3463,plain,
( ~ sQ160_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f3464,f3047]) ).
fof(f3464,plain,
( ~ sQ160_spl
| op2(e23,e21) = e23 ),
inference(forward_demodulation,[status(thm)],[f268,f1302]) ).
fof(f3465,plain,
( ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3463,f223]) ).
fof(f3466,plain,
~ sQ160_spl,
inference(contradiction_clause,[status(thm)],[f3465]) ).
fof(f3469,plain,
( ~ sQ159_spl
| ~ sQ118_spl
| op2(e22,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f3030,f1299]) ).
fof(f3470,plain,
( sQ246_spl
| h4(e11) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f265,f1580]) ).
fof(f3471,plain,
( sQ246_spl
| e21 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3195,f3470]) ).
fof(f3472,plain,
( sQ246_spl
| e21 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f282,f3471]) ).
fof(f3473,plain,
( sQ246_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f282,f3472]) ).
fof(f3474,plain,
( sQ246_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f268,f3473]) ).
fof(f3475,plain,
( sQ246_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3474]) ).
fof(f3476,plain,
sQ246_spl,
inference(contradiction_clause,[status(thm)],[f3475]) ).
fof(f3481,plain,
( ~ sQ102_spl
| ~ sQ159_spl
| ~ sQ118_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3469,f3083]) ).
fof(f3482,plain,
( ~ sQ102_spl
| ~ sQ159_spl
| ~ sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3481]) ).
fof(f3483,plain,
( ~ sQ102_spl
| ~ sQ159_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f3482]) ).
fof(f3484,plain,
( sQ159_spl
| ~ sQ118_spl
| op2(e22,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f3030,f1300]) ).
fof(f3485,plain,
( ~ sQ126_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1154,f268]) ).
fof(f3486,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3485,f221]) ).
fof(f3487,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f3486]) ).
fof(f3488,plain,
( ~ sQ78_spl
| ~ sQ79_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1001,f998]) ).
fof(f3489,plain,
( ~ sQ78_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3488,f223]) ).
fof(f3490,plain,
( ~ sQ78_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f3489]) ).
fof(f3496,plain,
( ~ sQ73_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f2778,f955,f981]) ).
fof(f3498,plain,
( sQ159_spl
| ~ sQ118_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3484,f1062,f1127,f1298]) ).
fof(f3499,plain,
( ~ sQ112_spl
| ~ sQ115_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1118,f1109]) ).
fof(f3500,plain,
( ~ sQ112_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3499,f220]) ).
fof(f3501,plain,
( ~ sQ112_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f3500]) ).
fof(f3503,plain,
( ~ sQ157_spl
| ~ sQ79_spl
| op2(e20,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f1001,f1293]) ).
fof(f3504,plain,
( ~ sQ157_spl
| ~ sQ79_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1001,f3503]) ).
fof(f3505,plain,
( ~ sQ157_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3504,f220]) ).
fof(f3506,plain,
( ~ sQ157_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f3505]) ).
fof(f3525,plain,
( ~ sQ37_spl
| ~ sQ39_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f839,f833]) ).
fof(f3526,plain,
( ~ sQ37_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3525,f216]) ).
fof(f3527,plain,
( ~ sQ37_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f3526]) ).
fof(f3530,plain,
( sQ243_spl
| h4(op1(e13,e10)) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f282,f1571]) ).
fof(f3532,plain,
( sQ188_spl
| ~ sQ15_spl
| h2(e13) != op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f761,f1398]) ).
fof(f3533,plain,
( sQ188_spl
| ~ sQ15_spl
| e21 != op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f274,f3532]) ).
fof(f3534,plain,
( sQ188_spl
| ~ sQ15_spl
| e21 != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f3533]) ).
fof(f3535,plain,
( sQ196_spl
| h2(e10) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f3261]) ).
fof(f3546,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f748,f745]) ).
fof(f3547,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3546,f217]) ).
fof(f3548,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3547]) ).
fof(f3550,plain,
( ~ sQ148_spl
| ~ sQ115_spl
| op2(e23,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f1118,f1263]) ).
fof(f3551,plain,
( sQ236_spl
| h4(op1(e11,e11)) != op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f3195,f1550]) ).
fof(f3552,plain,
( sQ236_spl
| h4(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f3195,f3551]) ).
fof(f3553,plain,
( ~ sQ152_spl
| op2(e23,e22) = e23 ),
inference(backward_demodulation,[status(thm)],[f3047,f1276]) ).
fof(f3554,plain,
( ~ sQ152_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f3553,f1143,f1275]) ).
fof(f3557,plain,
( ~ sQ148_spl
| ~ sQ115_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f3550,f268]) ).
fof(f3558,plain,
( ~ sQ148_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3557,f222]) ).
fof(f3559,plain,
( ~ sQ148_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f3558]) ).
fof(f3561,plain,
( ~ sQ94_spl
| sQ238_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1050,f3410]) ).
fof(f3562,plain,
( ~ sQ94_spl
| sQ238_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3561]) ).
fof(f3563,plain,
( ~ sQ238_spl
| ~ sQ30_spl
| h4(e12) = op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f810,f1555]) ).
fof(f3564,plain,
( ~ sQ238_spl
| ~ sQ30_spl
| e22 = op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3199,f3563]) ).
fof(f3565,plain,
( ~ sQ238_spl
| ~ sQ30_spl
| e22 = op2(e21,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3195,f3564]) ).
fof(f3566,plain,
( ~ sQ238_spl
| ~ sQ30_spl
| e22 = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f282,f3565]) ).
fof(f3569,plain,
( sQ236_spl
| ~ sQ85_spl
| h4(op1(e11,e11)) != e21 ),
inference(backward_demodulation,[status(thm)],[f1021,f3552]) ).
fof(f3572,plain,
( ~ sQ146_spl
| ~ sQ80_spl
| op2(e21,e20) = e21 ),
inference(backward_demodulation,[status(thm)],[f1005,f1257]) ).
fof(f3575,plain,
( ~ sQ146_spl
| ~ sQ80_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f3572,f1007,f1004,f1256]) ).
fof(f3576,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1141,f3179]) ).
fof(f3577,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f3576]) ).
fof(f3578,plain,
( ~ sQ143_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f3579,f3028]) ).
fof(f3579,plain,
( ~ sQ143_spl
| op1(e13,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f265,f1241]) ).
fof(f3580,plain,
( ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3578,f217]) ).
fof(f3581,plain,
~ sQ143_spl,
inference(contradiction_clause,[status(thm)],[f3580]) ).
fof(f3583,plain,
( ~ sQ142_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f3027,f1238]) ).
fof(f3585,plain,
( ~ sQ158_spl
| ~ sQ238_spl
| ~ sQ30_spl
| op2(e21,e22) = e21 ),
inference(backward_demodulation,[status(thm)],[f3566,f1296]) ).
fof(f3588,plain,
( ~ sQ158_spl
| ~ sQ238_spl
| ~ sQ30_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3585,f1033,f809,f1554,f1295]) ).
fof(f3590,plain,
( sQ235_spl
| h4(op1(e11,e10)) != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3195,f1547]) ).
fof(f3594,plain,
( ~ sQ156_spl
| ~ sQ120_spl
| op2(e23,e20) = e23 ),
inference(backward_demodulation,[status(thm)],[f1135,f1289]) ).
fof(f3595,plain,
( ~ sQ149_spl
| ~ sQ68_spl
| op2(e20,e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f966,f1267]) ).
fof(f3596,plain,
( ~ sQ149_spl
| ~ sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f3595,f952,f965,f1266]) ).
fof(f3597,plain,
( sQ108_spl
| ~ sQ118_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3030,f1097]) ).
fof(f3598,plain,
( sQ108_spl
| ~ sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3597]) ).
fof(f3599,plain,
( sQ108_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f3598]) ).
fof(f3600,plain,
( ~ sQ73_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f2801,f968,f981]) ).
fof(f3602,plain,
( ~ sQ141_spl
| ~ sQ30_spl
| op1(e11,e12) = e11 ),
inference(forward_demodulation,[status(thm)],[f810,f1235]) ).
fof(f3603,plain,
( ~ sQ140_spl
| ~ sQ15_spl
| op1(e10,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f761,f1232]) ).
fof(f3604,plain,
( ~ sQ140_spl
| ~ sQ15_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f761,f3603]) ).
fof(f3605,plain,
( ~ sQ140_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3604,f214]) ).
fof(f3606,plain,
( ~ sQ140_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3605]) ).
fof(f3619,plain,
( ~ sQ138_spl
| ~ sQ41_spl
| op1(e12,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f846,f1225]) ).
fof(f3628,plain,
( sQ232_spl
| h4(op1(e10,e11)) != op2(h4(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f3195,f1538]) ).
fof(f3633,plain,
( ~ sQ154_spl
| ~ sQ88_spl
| op2(e21,e20) = e21 ),
inference(backward_demodulation,[status(thm)],[f1031,f1283]) ).
fof(f3635,plain,
( ~ sQ147_spl
| ~ sQ159_spl
| ~ sQ118_spl
| op2(e22,e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f3469,f1260]) ).
fof(f3636,plain,
( ~ sQ147_spl
| ~ sQ159_spl
| ~ sQ118_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f3635,f1088,f1127,f1298,f1259]) ).
fof(f3638,plain,
( ~ sQ136_spl
| ~ sQ10_spl
| op1(e10,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f745,f1219]) ).
fof(f3639,plain,
( ~ sQ136_spl
| ~ sQ10_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f745,f3638]) ).
fof(f3640,plain,
( ~ sQ136_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3639,f213]) ).
fof(f3641,plain,
( ~ sQ136_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f3640]) ).
fof(f3645,plain,
( ~ sQ135_spl
| op1(e13,e12) = e13 ),
inference(backward_demodulation,[status(thm)],[f3028,f1215]) ).
fof(f3646,plain,
( ~ sQ135_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f3645,f903,f1214]) ).
fof(f3649,plain,
( sQ38_spl
| ~ sQ138_spl
| ~ sQ41_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f3619,f837]) ).
fof(f3650,plain,
( sQ38_spl
| ~ sQ138_spl
| ~ sQ41_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3649]) ).
fof(f3651,plain,
( sQ38_spl
| ~ sQ138_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f3650]) ).
fof(f3664,plain,
( ~ sQ134_spl
| ~ sQ37_spl
| op1(e12,e11) = e12 ),
inference(backward_demodulation,[status(thm)],[f833,f1212]) ).
fof(f3665,plain,
( ~ sQ134_spl
| ~ sQ37_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f3664,f835,f832,f1211]) ).
fof(f3680,plain,
( ~ sQ151_spl
| ~ sQ103_spl
| op2(e22,e23) = e22 ),
inference(backward_demodulation,[status(thm)],[f1079,f1273]) ).
fof(f3681,plain,
( ~ sQ151_spl
| ~ sQ103_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3680,f1101,f1078,f1272]) ).
fof(f3683,plain,
( sQ241_spl
| ~ sQ41_spl
| h4(e11) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f846,f3219]) ).
fof(f3684,plain,
( sQ241_spl
| ~ sQ41_spl
| e21 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3195,f3683]) ).
fof(f3691,plain,
( ~ sQ81_spl
| ~ sQ83_spl
| e23 = e21 ),
inference(backward_demodulation,[status(thm)],[f1014,f1008]) ).
fof(f3692,plain,
( ~ sQ81_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3691,f222]) ).
fof(f3693,plain,
( ~ sQ81_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f3692]) ).
fof(f3694,plain,
( ~ sQ96_spl
| ~ sQ159_spl
| ~ sQ118_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f3469,f1057]) ).
fof(f3695,plain,
( ~ sQ96_spl
| ~ sQ159_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3694,f219]) ).
fof(f3696,plain,
( ~ sQ96_spl
| ~ sQ159_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f3695]) ).
fof(f3697,plain,
( ~ sQ154_spl
| ~ sQ88_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f3633,f1007,f1030,f1282]) ).
fof(f3702,plain,
( sQ241_spl
| ~ sQ41_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f3684,f1085,f845,f1563]) ).
fof(f3703,plain,
( ~ sQ156_spl
| ~ sQ120_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f3594,f1117,f1134,f1288]) ).
fof(f3707,plain,
( ~ sQ15_spl
| op1(e10,e11) != e13 ),
inference(forward_demodulation,[status(thm)],[f761,f144]) ).
fof(f3711,plain,
( sQ233_spl
| ~ sQ10_spl
| h4(e12) != op2(h4(e10),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f745,f1541]) ).
fof(f3712,plain,
( sQ233_spl
| ~ sQ10_spl
| e22 != op2(h4(e10),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f3199,f3711]) ).
fof(f3713,plain,
( sQ233_spl
| ~ sQ10_spl
| e22 != op2(h4(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f3199,f3712]) ).
fof(f3719,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| e11 = e10 ),
inference(backward_demodulation,[status(thm)],[f794,f791]) ).
fof(f3720,plain,
( ~ sQ24_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3719,f212]) ).
fof(f3721,plain,
( ~ sQ24_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f3720]) ).
fof(f3733,plain,
( ~ sQ153_spl
| ~ sQ74_spl
| op2(e20,e22) = e20 ),
inference(backward_demodulation,[status(thm)],[f985,f1280]) ).
fof(f3734,plain,
( ~ sQ153_spl
| ~ sQ74_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f3733,f978,f984,f1279]) ).
fof(f3745,plain,
( ~ sQ159_spl
| ~ sQ118_spl
| ~ sQ99_spl
| e23 = e22 ),
inference(backward_demodulation,[status(thm)],[f1066,f3469]) ).
fof(f3746,plain,
( ~ sQ159_spl
| ~ sQ118_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3745,f223]) ).
fof(f3747,plain,
( ~ sQ159_spl
| ~ sQ118_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f3746]) ).
fof(f3748,plain,
( ~ sQ142_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f3583,f822,f1237]) ).
fof(f3749,plain,
( ~ sQ141_spl
| ~ sQ30_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f3602,f793,f809,f1234]) ).
fof(f3756,plain,
( ~ sQ18_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f771,f2375]) ).
fof(f3757,plain,
( ~ sQ18_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3756]) ).
fof(f3758,plain,
( sQ237_spl
| h4(op1(e11,e12)) != op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f3195,f1553]) ).
fof(f3759,plain,
( sQ237_spl
| h4(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f3199,f3758]) ).
fof(f3768,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| e21 = e20 ),
inference(backward_demodulation,[status(thm)],[f969,f966]) ).
fof(f3769,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3768,f218]) ).
fof(f3770,plain,
( ~ sQ68_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f3769]) ).
fof(f3772,plain,
( ~ sQ236_spl
| h4(op1(e11,e11)) = op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f3195,f1549]) ).
fof(f3773,plain,
( ~ sQ236_spl
| h4(op1(e11,e11)) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f3195,f3772]) ).
fof(f3775,plain,
( ~ sQ7_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f3707]) ).
fof(f3776,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3775]) ).
fof(f3785,plain,
( sQ239_spl
| h4(op1(e12,e10)) != op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3199,f1559]) ).
fof(f3792,plain,
( sQ239_spl
| ~ sQ34_spl
| h4(e12) != op2(e22,h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f823,f3785]) ).
fof(f3793,plain,
( sQ239_spl
| ~ sQ34_spl
| e22 != op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3199,f3792]) ).
fof(f3801,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| e21 = e20 ),
inference(backward_demodulation,[status(thm)],[f1034,f1031]) ).
fof(f3802,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3801,f218]) ).
fof(f3803,plain,
( ~ sQ88_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3802]) ).
fof(f3809,plain,
( ~ sQ73_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f2757,f1033,f981]) ).
fof(f3810,plain,
( ~ sQ97_spl
| ~ sQ159_spl
| ~ sQ118_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f3469,f1060]) ).
fof(f3811,plain,
( ~ sQ97_spl
| ~ sQ159_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3810,f221]) ).
fof(f3812,plain,
( ~ sQ97_spl
| ~ sQ159_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f3811]) ).
fof(f3813,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f995,f2699]) ).
fof(f3814,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f3813]) ).
fof(f3818,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f898,f2497]) ).
fof(f3819,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f3818]) ).
fof(f3832,plain,
( ~ sQ133_spl
| ~ sQ23_spl
| op1(e11,e13) = e11 ),
inference(backward_demodulation,[status(thm)],[f787,f1209]) ).
fof(f3833,plain,
( ~ sQ133_spl
| ~ sQ23_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f3832,f806,f786,f1208]) ).
fof(f3846,plain,
( ~ sQ34_spl
| e12 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f823,f153]) ).
fof(f3860,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| e21 = e20 ),
inference(backward_demodulation,[status(thm)],[f956,f953]) ).
fof(f3861,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3860,f218]) ).
fof(f3862,plain,
( ~ sQ64_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f3861]) ).
fof(f3864,plain,
( ~ sQ236_spl
| ~ sQ23_spl
| h4(e13) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f787,f3773]) ).
fof(f3865,plain,
( ~ sQ236_spl
| ~ sQ23_spl
| e23 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f282,f3864]) ).
fof(f3869,plain,
( sQ177_spl
| ~ sQ65_spl
| h1(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f956,f3449]) ).
fof(f3878,plain,
( ~ sQ155_spl
| ~ sQ105_spl
| op2(e22,e21) = e22 ),
inference(backward_demodulation,[status(thm)],[f1086,f1286]) ).
fof(f3879,plain,
( ~ sQ155_spl
| ~ sQ105_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3878,f1075,f1085,f1285]) ).
fof(f3881,plain,
( ~ sQ42_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f3846]) ).
fof(f3882,plain,
( ~ sQ42_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f3881]) ).
fof(f3886,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2386,f783,f887]) ).
fof(f3899,plain,
( ~ sQ16_spl
| e10 != op1(e13,e10) ),
inference(backward_demodulation,[status(thm)],[f765,f120]) ).
fof(f3916,plain,
( ~ sQ131_spl
| ~ sQ51_spl
| op1(e13,e13) = e13 ),
inference(backward_demodulation,[status(thm)],[f878,f1202]) ).
fof(f3918,plain,
( ~ sQ131_spl
| ~ sQ51_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f3916,f916,f877,f1201]) ).
fof(f3919,plain,
( ~ sQ129_spl
| ~ sQ16_spl
| op1(e11,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f765,f1196]) ).
fof(f3946,plain,
( ~ sQ85_spl
| ~ sQ236_spl
| ~ sQ23_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f3865,f1021]) ).
fof(f3947,plain,
( ~ sQ85_spl
| ~ sQ236_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3946,f222]) ).
fof(f3948,plain,
( ~ sQ85_spl
| ~ sQ236_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3947]) ).
fof(f3969,plain,
( sQ223_spl
| ~ sQ105_spl
| h3(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f1086,f3063]) ).
fof(f3974,plain,
( sQ245_spl
| ~ sQ56_spl
| h4(e10) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f895,f3306]) ).
fof(f3981,plain,
( ~ sQ105_spl
| ~ sQ107_spl
| e23 = e21 ),
inference(backward_demodulation,[status(thm)],[f1092,f1086]) ).
fof(f3982,plain,
( ~ sQ105_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3981,f222]) ).
fof(f3983,plain,
( ~ sQ105_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3982]) ).
fof(f3990,plain,
( ~ sQ16_spl
| ~ sQ129_spl
| e11 = e10 ),
inference(backward_demodulation,[status(thm)],[f3919,f765]) ).
fof(f3991,plain,
( ~ sQ16_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3990,f212]) ).
fof(f3992,plain,
( ~ sQ16_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f3991]) ).
fof(f3993,plain,
( ~ sQ16_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f3899,f868,f764]) ).
fof(f4015,plain,
( ~ sQ68_spl
| ~ sQ71_spl
| e23 = e20 ),
inference(backward_demodulation,[status(thm)],[f975,f966]) ).
fof(f4016,plain,
( ~ sQ68_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4015,f220]) ).
fof(f4017,plain,
( ~ sQ68_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f4016]) ).
fof(f4018,plain,
( ~ sQ119_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f1131,f3047]) ).
fof(f4019,plain,
( ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4018,f223]) ).
fof(f4020,plain,
~ sQ119_spl,
inference(contradiction_clause,[status(thm)],[f4019]) ).
fof(f4021,plain,
( sQ236_spl
| ~ sQ85_spl
| ~ sQ21_spl
| h4(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f781,f3569]) ).
fof(f4025,plain,
( sQ236_spl
| ~ sQ85_spl
| ~ sQ21_spl
| ~ sQ297_spl ),
inference(split_clause,[status(thm)],[f4021,f1802,f780,f1020,f1548]) ).
fof(f4029,plain,
( ~ sQ1_spl
| e11 != op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f716,f116]) ).
fof(f4065,plain,
( ~ sQ101_spl
| ~ sQ103_spl
| e23 = e21 ),
inference(backward_demodulation,[status(thm)],[f1079,f1073]) ).
fof(f4066,plain,
( ~ sQ101_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4065,f222]) ).
fof(f4067,plain,
( ~ sQ101_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f4066]) ).
fof(f4104,plain,
( sQ240_spl
| ~ sQ39_spl
| h4(e13) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f839,f3221]) ).
fof(f4105,plain,
( sQ240_spl
| ~ sQ39_spl
| e23 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f282,f4104]) ).
fof(f4106,plain,
( sQ240_spl
| ~ sQ39_spl
| ~ sQ103_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1079,f4105]) ).
fof(f4107,plain,
( sQ240_spl
| ~ sQ39_spl
| ~ sQ103_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4106]) ).
fof(f4108,plain,
( sQ240_spl
| ~ sQ39_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f4107]) ).
fof(f4120,plain,
( ~ sQ85_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f1021,f276]) ).
fof(f4121,plain,
( ~ sQ85_spl
| sQ200_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4120,f3323]) ).
fof(f4122,plain,
( ~ sQ85_spl
| sQ200_spl ),
inference(contradiction_clause,[status(thm)],[f4121]) ).
fof(f4123,plain,
( ~ sQ85_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f4120,f1700,f1020]) ).
fof(f4124,plain,
( ~ sQ200_spl
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f265,f1433]) ).
fof(f4125,plain,
( ~ sQ200_spl
| h2(e11) = op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f274,f4124]) ).
fof(f4126,plain,
( ~ sQ200_spl
| h2(e11) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f274,f4125]) ).
fof(f4127,plain,
( ~ sQ200_spl
| ~ sQ85_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f1021,f4126]) ).
fof(f4129,plain,
( sQ192_spl
| ~ sQ30_spl
| ~ sQ200_spl
| ~ sQ85_spl
| h2(e12) != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4127,f3409]) ).
fof(f4130,plain,
( sQ198_spl
| ~ sQ200_spl
| ~ sQ85_spl
| h2(e12) != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4127,f3258]) ).
fof(f4134,plain,
( sQ192_spl
| ~ sQ30_spl
| ~ sQ200_spl
| ~ sQ85_spl
| h2(e12) != e21 ),
inference(forward_demodulation,[status(thm)],[f1021,f4129]) ).
fof(f4135,plain,
( sQ198_spl
| ~ sQ200_spl
| ~ sQ85_spl
| h2(e12) != e21 ),
inference(forward_demodulation,[status(thm)],[f1021,f4130]) ).
fof(f4145,plain,
( sQ231_spl
| ~ sQ1_spl
| h4(e11) != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f716,f1535]) ).
fof(f4146,plain,
( sQ231_spl
| ~ sQ1_spl
| e21 != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3195,f4145]) ).
fof(f4147,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4029,f767,f715]) ).
fof(f4148,plain,
( ~ sQ132_spl
| ~ sQ4_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f726,f1206]) ).
fof(f4149,plain,
( ~ sQ132_spl
| ~ sQ4_spl
| ~ sQ1_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f716,f4148]) ).
fof(f4150,plain,
( ~ sQ132_spl
| ~ sQ4_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4149,f212]) ).
fof(f4151,plain,
( ~ sQ132_spl
| ~ sQ4_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f4150]) ).
fof(f4172,plain,
( ~ sQ68_spl
| e20 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f966,f171]) ).
fof(f4208,plain,
( ~ sQ105_spl
| h3(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f1086,f280]) ).
fof(f4209,plain,
( ~ sQ105_spl
| sQ285_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4208,f1753]) ).
fof(f4210,plain,
( ~ sQ105_spl
| sQ285_spl ),
inference(contradiction_clause,[status(thm)],[f4209]) ).
fof(f4211,plain,
( sQ223_spl
| ~ sQ105_spl
| ~ sQ285_spl ),
inference(split_clause,[status(thm)],[f3969,f1751,f1085,f1505]) ).
fof(f4230,plain,
( ~ sQ65_spl
| h1(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f956,f272]) ).
fof(f4231,plain,
( ~ sQ65_spl
| sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4230,f1651]) ).
fof(f4232,plain,
( ~ sQ65_spl
| sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f4231]) ).
fof(f4234,plain,
( sQ177_spl
| ~ sQ65_spl
| ~ sQ261_spl ),
inference(split_clause,[status(thm)],[f3869,f1649,f955,f1359]) ).
fof(f4250,plain,
( sQ169_spl
| ~ sQ30_spl
| ~ sQ65_spl
| h1(e12) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f4230,f3447]) ).
fof(f4255,plain,
( ~ sQ118_spl
| h4(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f3030,f3155]) ).
fof(f4256,plain,
( ~ sQ118_spl
| sQ292_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4255,f1783]) ).
fof(f4257,plain,
( ~ sQ118_spl
| sQ292_spl ),
inference(contradiction_clause,[status(thm)],[f4256]) ).
fof(f4259,plain,
( sQ242_spl
| ~ sQ118_spl
| ~ sQ292_spl ),
inference(split_clause,[status(thm)],[f3430,f1781,f1127,f1566]) ).
fof(f4260,plain,
( ~ sQ293_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f3195,f1786]) ).
fof(f4261,plain,
( ~ sQ293_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4260,f218]) ).
fof(f4262,plain,
~ sQ293_spl,
inference(contradiction_clause,[status(thm)],[f4261]) ).
fof(f4275,plain,
( sQ234_spl
| ~ sQ15_spl
| ~ sQ118_spl
| e23 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f4255,f2964]) ).
fof(f4276,plain,
( sQ233_spl
| ~ sQ10_spl
| ~ sQ118_spl
| e22 != op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f4255,f3713]) ).
fof(f4277,plain,
( sQ239_spl
| ~ sQ34_spl
| ~ sQ118_spl
| e22 != op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f4255,f3793]) ).
fof(f4280,plain,
( sQ234_spl
| ~ sQ15_spl
| ~ sQ118_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f4275,f1000,f1127,f760,f1542]) ).
fof(f4281,plain,
( sQ233_spl
| ~ sQ10_spl
| ~ sQ118_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f4276,f984,f1127,f744,f1539]) ).
fof(f4282,plain,
( sQ239_spl
| ~ sQ34_spl
| ~ sQ118_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f4277,f1062,f1127,f822,f1557]) ).
fof(f4302,plain,
( ~ sQ74_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f985,f193]) ).
fof(f4308,plain,
( ~ sQ85_spl
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1021,f197]) ).
fof(f4316,plain,
( sQ231_spl
| ~ sQ1_spl
| ~ sQ118_spl
| e21 != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f4255,f4146]) ).
fof(f4317,plain,
( sQ231_spl
| ~ sQ1_spl
| ~ sQ118_spl
| e21 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4255,f4316]) ).
fof(f4318,plain,
( sQ231_spl
| ~ sQ1_spl
| ~ sQ118_spl
| ~ sQ65_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f956,f4317]) ).
fof(f4319,plain,
( sQ231_spl
| ~ sQ1_spl
| ~ sQ118_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4318]) ).
fof(f4320,plain,
( sQ231_spl
| ~ sQ1_spl
| ~ sQ118_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f4319]) ).
fof(f4345,plain,
( ~ sQ85_spl
| h2(e12) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1021,f277]) ).
fof(f4346,plain,
( ~ sQ85_spl
| h2(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f1021,f4345]) ).
fof(f4347,plain,
( ~ sQ85_spl
| sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4346,f1706]) ).
fof(f4348,plain,
( ~ sQ85_spl
| sQ274_spl ),
inference(contradiction_clause,[status(thm)],[f4347]) ).
fof(f4349,plain,
( sQ198_spl
| ~ sQ200_spl
| ~ sQ85_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f4135,f1704,f1020,f1432,f1426]) ).
fof(f4350,plain,
( sQ192_spl
| ~ sQ30_spl
| ~ sQ200_spl
| ~ sQ85_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f4134,f1704,f1020,f1432,f809,f1408]) ).
fof(f4359,plain,
( ~ sQ85_spl
| h2(e10) = op2(op2(e21,e21),e21) ),
inference(forward_demodulation,[status(thm)],[f1021,f275]) ).
fof(f4360,plain,
( ~ sQ85_spl
| h2(e10) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1021,f4359]) ).
fof(f4361,plain,
( ~ sQ85_spl
| h2(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f1021,f4360]) ).
fof(f4362,plain,
( ~ sQ85_spl
| sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4361,f1698]) ).
fof(f4363,plain,
( ~ sQ85_spl
| sQ272_spl ),
inference(contradiction_clause,[status(thm)],[f4362]) ).
fof(f4367,plain,
( sQ187_spl
| ~ sQ10_spl
| ~ sQ85_spl
| h2(e12) != op2(h2(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f4346,f3295]) ).
fof(f4368,plain,
( sQ196_spl
| ~ sQ85_spl
| h2(e10) != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4346,f3535]) ).
fof(f4375,plain,
( sQ187_spl
| ~ sQ10_spl
| ~ sQ85_spl
| e21 != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f4346,f4367]) ).
fof(f4376,plain,
( sQ196_spl
| ~ sQ85_spl
| h2(e10) != e21 ),
inference(forward_demodulation,[status(thm)],[f1021,f4368]) ).
fof(f4386,plain,
( sQ188_spl
| ~ sQ15_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4361,f3534]) ).
fof(f4389,plain,
( sQ188_spl
| ~ sQ15_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f4386,f1020,f760,f1396]) ).
fof(f4390,plain,
( sQ187_spl
| ~ sQ10_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4361,f4375]) ).
fof(f4391,plain,
( sQ187_spl
| ~ sQ10_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1021,f4390]) ).
fof(f4392,plain,
( sQ187_spl
| ~ sQ10_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4391]) ).
fof(f4393,plain,
( sQ187_spl
| ~ sQ10_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f4392]) ).
fof(f4409,plain,
( sQ196_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4361,f4376]) ).
fof(f4410,plain,
( sQ196_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4409]) ).
fof(f4411,plain,
( sQ196_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f4410]) ).
fof(f4423,plain,
( ~ sQ139_spl
| ~ sQ59_spl
| e11 = e13 ),
inference(backward_demodulation,[status(thm)],[f4424,f265]) ).
fof(f4424,plain,
( ~ sQ139_spl
| ~ sQ59_spl
| op1(e13,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f904,f1228]) ).
fof(f4425,plain,
( ~ sQ139_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4423,f216]) ).
fof(f4426,plain,
( ~ sQ139_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f4425]) ).
fof(f4428,plain,
( ~ sQ137_spl
| ~ sQ24_spl
| op1(e11,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f791,f1222]) ).
fof(f4429,plain,
( ~ sQ137_spl
| ~ sQ24_spl
| ~ sQ19_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f774,f4428]) ).
fof(f4430,plain,
( ~ sQ137_spl
| ~ sQ24_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4429,f216]) ).
fof(f4431,plain,
( ~ sQ137_spl
| ~ sQ24_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f4430]) ).
fof(f4432,plain,
( sQ245_spl
| ~ sQ56_spl
| ~ sQ118_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f4255,f3974]) ).
fof(f4443,plain,
( ~ sQ105_spl
| h3(e10) = op2(op2(e22,e21),e22) ),
inference(forward_demodulation,[status(thm)],[f1086,f279]) ).
fof(f4444,plain,
( ~ sQ105_spl
| ~ sQ103_spl
| h3(e10) = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1079,f4443]) ).
fof(f4448,plain,
( ~ sQ65_spl
| h1(e12) = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f956,f273]) ).
fof(f4450,plain,
( ~ sQ65_spl
| ~ sQ68_spl
| h1(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f966,f4448]) ).
fof(f4457,plain,
( ~ sQ65_spl
| h1(e10) = op2(op2(e20,e21),e20) ),
inference(forward_demodulation,[status(thm)],[f956,f271]) ).
fof(f4458,plain,
( ~ sQ65_spl
| ~ sQ68_spl
| h1(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f966,f4457]) ).
fof(f4460,plain,
( ~ sQ65_spl
| ~ sQ68_spl
| h1(e10) = e21 ),
inference(forward_demodulation,[status(thm)],[f956,f4458]) ).
fof(f4492,plain,
( ~ sQ156_spl
| ~ sQ123_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f4493,f268]) ).
fof(f4493,plain,
( ~ sQ156_spl
| ~ sQ123_spl
| op2(e23,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f1144,f1289]) ).
fof(f4494,plain,
( ~ sQ156_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4492,f222]) ).
fof(f4495,plain,
( ~ sQ156_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f4494]) ).
fof(f4496,plain,
( sQ243_spl
| ~ sQ51_spl
| h4(e13) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f878,f3530]) ).
fof(f4497,plain,
( sQ243_spl
| ~ sQ51_spl
| e23 != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f282,f4496]) ).
fof(f4498,plain,
( sQ243_spl
| ~ sQ51_spl
| ~ sQ118_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f4255,f4497]) ).
fof(f4501,plain,
( ~ sQ85_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f4308,f1033,f1020]) ).
fof(f4515,plain,
( ~ sQ115_spl
| sQ243_spl
| ~ sQ51_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1118,f4498]) ).
fof(f4516,plain,
( ~ sQ115_spl
| sQ243_spl
| ~ sQ51_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f4515]) ).
fof(f4517,plain,
( sQ235_spl
| ~ sQ16_spl
| h4(e10) != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f765,f3590]) ).
fof(f4518,plain,
( sQ235_spl
| ~ sQ16_spl
| ~ sQ118_spl
| e20 != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f4255,f4517]) ).
fof(f4519,plain,
( sQ235_spl
| ~ sQ16_spl
| ~ sQ118_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f4255,f4518]) ).
fof(f4520,plain,
( sQ235_spl
| ~ sQ16_spl
| ~ sQ118_spl
| ~ sQ80_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1005,f4519]) ).
fof(f4521,plain,
( sQ235_spl
| ~ sQ16_spl
| ~ sQ118_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4520]) ).
fof(f4522,plain,
( sQ235_spl
| ~ sQ16_spl
| ~ sQ118_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4521]) ).
fof(f4523,plain,
( ~ sQ243_spl
| ~ sQ51_spl
| h4(e13) = op2(h4(e13),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f878,f1570]) ).
fof(f4524,plain,
( ~ sQ243_spl
| ~ sQ51_spl
| e23 = op2(h4(e13),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f282,f4523]) ).
fof(f4525,plain,
( ~ sQ243_spl
| ~ sQ51_spl
| e23 = op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f282,f4524]) ).
fof(f4526,plain,
( ~ sQ243_spl
| ~ sQ51_spl
| ~ sQ118_spl
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f4255,f4525]) ).
fof(f4527,plain,
( sQ232_spl
| ~ sQ4_spl
| h4(e10) != op2(h4(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f726,f3628]) ).
fof(f4528,plain,
( sQ232_spl
| ~ sQ4_spl
| ~ sQ118_spl
| e20 != op2(h4(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f4255,f4527]) ).
fof(f4529,plain,
( sQ232_spl
| ~ sQ4_spl
| ~ sQ118_spl
| e20 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f4255,f4528]) ).
fof(f4530,plain,
( sQ232_spl
| ~ sQ4_spl
| ~ sQ118_spl
| ~ sQ68_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f966,f4529]) ).
fof(f4531,plain,
( sQ232_spl
| ~ sQ4_spl
| ~ sQ118_spl
| ~ sQ68_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4530]) ).
fof(f4532,plain,
( sQ232_spl
| ~ sQ4_spl
| ~ sQ118_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f4531]) ).
fof(f4542,plain,
( sQ245_spl
| ~ sQ56_spl
| ~ sQ118_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f4432,f1134,f1127,f894,f1575]) ).
fof(f4550,plain,
( sQ237_spl
| ~ sQ27_spl
| h4(e13) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f800,f3759]) ).
fof(f4551,plain,
( sQ237_spl
| ~ sQ27_spl
| e23 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f282,f4550]) ).
fof(f4573,plain,
( sQ237_spl
| ~ sQ27_spl
| ~ sQ91_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1040,f4551]) ).
fof(f4574,plain,
( sQ237_spl
| ~ sQ27_spl
| ~ sQ91_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4573]) ).
fof(f4575,plain,
( sQ237_spl
| ~ sQ27_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f4574]) ).
fof(f4594,plain,
( sQ176_spl
| ~ sQ56_spl
| h1(e10) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f895,f3321]) ).
fof(f4595,plain,
( sQ176_spl
| ~ sQ56_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e21 != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f4460,f4594]) ).
fof(f4596,plain,
( sQ176_spl
| ~ sQ56_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e21 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4450,f4595]) ).
fof(f4597,plain,
( sQ176_spl
| ~ sQ56_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f956,f4596]) ).
fof(f4598,plain,
( sQ176_spl
| ~ sQ56_spl
| ~ sQ65_spl
| ~ sQ68_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4597]) ).
fof(f4599,plain,
( sQ176_spl
| ~ sQ56_spl
| ~ sQ65_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f4598]) ).
fof(f4600,plain,
( sQ175_spl
| ~ sQ261_spl
| ~ sQ68_spl
| ~ sQ65_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4450,f3330]) ).
fof(f4601,plain,
( sQ175_spl
| ~ sQ261_spl
| ~ sQ68_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4600]) ).
fof(f4602,plain,
( sQ175_spl
| ~ sQ261_spl
| ~ sQ68_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f4601]) ).
fof(f4603,plain,
( sQ174_spl
| ~ sQ51_spl
| h1(e13) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f878,f3331]) ).
fof(f4604,plain,
( sQ174_spl
| ~ sQ51_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f270,f4603]) ).
fof(f4605,plain,
( sQ174_spl
| ~ sQ51_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e20 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f4460,f4604]) ).
fof(f4606,plain,
( sQ174_spl
| ~ sQ51_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f966,f4605]) ).
fof(f4607,plain,
( sQ174_spl
| ~ sQ51_spl
| ~ sQ65_spl
| ~ sQ68_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4606]) ).
fof(f4608,plain,
( sQ174_spl
| ~ sQ51_spl
| ~ sQ65_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f4607]) ).
fof(f4609,plain,
( sQ173_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e21 != op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f4460,f3369]) ).
fof(f4610,plain,
( sQ173_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e21 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4450,f4609]) ).
fof(f4611,plain,
( sQ173_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f956,f4610]) ).
fof(f4612,plain,
( sQ173_spl
| ~ sQ65_spl
| ~ sQ68_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4611]) ).
fof(f4613,plain,
( sQ173_spl
| ~ sQ65_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f4612]) ).
fof(f4614,plain,
( sQ172_spl
| ~ sQ41_spl
| h1(e11) != op2(h1(e12),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f846,f1346]) ).
fof(f4615,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ65_spl
| e21 != op2(h1(e12),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f4230,f4614]) ).
fof(f4616,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e21 != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f4450,f4615]) ).
fof(f4617,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e21 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4450,f4616]) ).
fof(f4618,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f956,f4617]) ).
fof(f4619,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ65_spl
| ~ sQ68_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4618]) ).
fof(f4620,plain,
( sQ172_spl
| ~ sQ41_spl
| ~ sQ65_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f4619]) ).
fof(f4628,plain,
( sQ170_spl
| ~ sQ34_spl
| h1(e12) != op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f823,f1340]) ).
fof(f4629,plain,
( sQ170_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e20 != op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f4450,f4628]) ).
fof(f4630,plain,
( sQ170_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f4450,f4629]) ).
fof(f4631,plain,
( sQ170_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e20 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f4460,f4630]) ).
fof(f4632,plain,
( sQ170_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f966,f4631]) ).
fof(f4633,plain,
( sQ170_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ68_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4632]) ).
fof(f4634,plain,
( sQ170_spl
| ~ sQ34_spl
| ~ sQ65_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f4633]) ).
fof(f4635,plain,
( sQ169_spl
| ~ sQ30_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f4450,f4250]) ).
fof(f4636,plain,
( sQ169_spl
| ~ sQ30_spl
| ~ sQ65_spl
| ~ sQ68_spl
| ~ sQ80_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1005,f4635]) ).
fof(f4637,plain,
( sQ169_spl
| ~ sQ30_spl
| ~ sQ65_spl
| ~ sQ68_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4636]) ).
fof(f4638,plain,
( sQ169_spl
| ~ sQ30_spl
| ~ sQ65_spl
| ~ sQ68_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4637]) ).
fof(f4653,plain,
( sQ165_spl
| ~ sQ15_spl
| h1(e13) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f761,f3453]) ).
fof(f4654,plain,
( sQ165_spl
| ~ sQ15_spl
| e20 != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f270,f4653]) ).
fof(f4655,plain,
( sQ165_spl
| ~ sQ15_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f4460,f4654]) ).
fof(f4656,plain,
( sQ165_spl
| ~ sQ15_spl
| ~ sQ65_spl
| ~ sQ68_spl
| ~ sQ80_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1005,f4655]) ).
fof(f4657,plain,
( sQ165_spl
| ~ sQ15_spl
| ~ sQ65_spl
| ~ sQ68_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4656]) ).
fof(f4658,plain,
( sQ165_spl
| ~ sQ15_spl
| ~ sQ65_spl
| ~ sQ68_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4657]) ).
fof(f4659,plain,
( sQ164_spl
| ~ sQ10_spl
| h1(e12) != op2(h1(e10),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f745,f1322]) ).
fof(f4660,plain,
( sQ164_spl
| ~ sQ10_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e20 != op2(h1(e10),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f4450,f4659]) ).
fof(f4661,plain,
( sQ164_spl
| ~ sQ10_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e20 != op2(e21,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f4460,f4660]) ).
fof(f4662,plain,
( sQ164_spl
| ~ sQ10_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f4450,f4661]) ).
fof(f4663,plain,
( sQ164_spl
| ~ sQ10_spl
| ~ sQ65_spl
| ~ sQ68_spl
| ~ sQ80_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1005,f4662]) ).
fof(f4664,plain,
( sQ164_spl
| ~ sQ10_spl
| ~ sQ65_spl
| ~ sQ68_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4663]) ).
fof(f4665,plain,
( sQ164_spl
| ~ sQ10_spl
| ~ sQ65_spl
| ~ sQ68_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4664]) ).
fof(f4703,plain,
( ~ sQ68_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f4172,f1069,f965]) ).
fof(f4713,plain,
( sQ260_spl
| ~ sQ65_spl
| ~ sQ68_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4460,f1647]) ).
fof(f4714,plain,
( sQ260_spl
| ~ sQ65_spl
| ~ sQ68_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4713]) ).
fof(f4715,plain,
( sQ260_spl
| ~ sQ65_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f4714]) ).
fof(f4716,plain,
( sQ156_spl
| ~ sQ120_spl
| op2(e23,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1135,f1290]) ).
fof(f4717,plain,
( sQ156_spl
| ~ sQ120_spl
| ~ sQ243_spl
| ~ sQ51_spl
| ~ sQ118_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4526,f4716]) ).
fof(f4718,plain,
( sQ156_spl
| ~ sQ120_spl
| ~ sQ243_spl
| ~ sQ51_spl
| ~ sQ118_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4717]) ).
fof(f4719,plain,
( sQ156_spl
| ~ sQ120_spl
| ~ sQ243_spl
| ~ sQ51_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f4718]) ).
fof(f4776,plain,
( ~ sQ137_spl
| ~ sQ27_spl
| op1(e11,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f800,f1222]) ).
fof(f4777,plain,
( ~ sQ137_spl
| ~ sQ27_spl
| ~ sQ30_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f810,f4776]) ).
fof(f4778,plain,
( ~ sQ137_spl
| ~ sQ27_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4777,f215]) ).
fof(f4779,plain,
( ~ sQ137_spl
| ~ sQ27_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f4778]) ).
fof(f4821,plain,
( ~ sQ150_spl
| ~ sQ87_spl
| op2(e21,e23) = e21 ),
inference(forward_demodulation,[status(thm)],[f1027,f1270]) ).
fof(f4822,plain,
( ~ sQ150_spl
| ~ sQ87_spl
| ~ sQ238_spl
| ~ sQ30_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f3566,f4821]) ).
fof(f4823,plain,
( ~ sQ150_spl
| ~ sQ87_spl
| ~ sQ238_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4822,f221]) ).
fof(f4824,plain,
( ~ sQ150_spl
| ~ sQ87_spl
| ~ sQ238_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f4823]) ).
fof(f4827,plain,
( ~ sQ151_spl
| ~ sQ101_spl
| op2(e22,e21) = e22 ),
inference(forward_demodulation,[status(thm)],[f1073,f1273]) ).
fof(f4828,plain,
( ~ sQ101_spl
| ~ sQ151_spl
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f4827,f1073]) ).
fof(f4829,plain,
( ~ sQ101_spl
| ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4828,f221]) ).
fof(f4830,plain,
( ~ sQ101_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f4829]) ).
fof(f4831,plain,
( ~ sQ105_spl
| ~ sQ103_spl
| ~ sQ120_spl
| h3(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f1135,f4444]) ).
fof(f4832,plain,
( ~ sQ105_spl
| ~ sQ103_spl
| ~ sQ120_spl
| sQ280_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4831,f1732]) ).
fof(f4833,plain,
( ~ sQ105_spl
| ~ sQ103_spl
| ~ sQ120_spl
| sQ280_spl ),
inference(contradiction_clause,[status(thm)],[f4832]) ).
fof(f4837,plain,
( ~ sQ74_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f4302,f997,f984]) ).
fof(f4849,plain,
( ~ sQ90_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f2861,f1023,f1036]) ).
fof(f4851,plain,
$false,
inference(sat_refutation,[status(thm)],[f737,f776,f789,f841,f854,f867,f920,f921,f922,f923,f924,f925,f928,f929,f930,f934,f935,f937,f940,f941,f943,f944,f949,f950,f951,f964,f1003,f1029,f1042,f1055,f1068,f1081,f1120,f1146,f1160,f1161,f1162,f1163,f1164,f1165,f1166,f1168,f1169,f1170,f1171,f1174,f1175,f1178,f1179,f1181,f1182,f1183,f1184,f1189,f1190,f1217,f1230,f1243,f1247,f1265,f1278,f1291,f1304,f1308,f1605,f1610,f1621,f1643,f1652,f1673,f1678,f1711,f1729,f1733,f1754,f1779,f1784,f1805,f1826,f1840,f1846,f1857,f1858,f1859,f1860,f1868,f1869,f1870,f1871,f1872,f1879,f1885,f1890,f1896,f1901,f1903,f1905,f1907,f1912,f1914,f1916,f1918,f1923,f1929,f1934,f1935,f1939,f1940,f1945,f1946,f1947,f1948,f1951,f1952,f1956,f1957,f1958,f1963,f1967,f1973,f1978,f1984,f1989,f1990,f1991,f1993,f1995,f1996,f2000,f2001,f2004,f2007,f2013,f2015,f2016,f2017,f2022,f2024,f2025,f2027,f2033,f2034,f2035,f2036,f2039,f2044,f2045,f2046,f2047,f2055,f2061,f2066,f2077,f2078,f2079,f2081,f2083,f2089,f2090,f2092,f2099,f2100,f2101,f2103,f2104,f2105,f2110,f2111,f2112,f2113,f2115,f2118,f2120,f2121,f2125,f2127,f2128,f2135,f2154,f2157,f2166,f2173,f2179,f2183,f2189,f2192,f2195,f2198,f2203,f2209,f2215,f2218,f2221,f2232,f2243,f2259,f2270,f2273,f2279,f2282,f2299,f2338,f2347,f2351,f2354,f2357,f2360,f2397,f2409,f2412,f2419,f2442,f2445,f2473,f2476,f2479,f2490,f2492,f2493,f2496,f2501,f2505,f2517,f2526,f2529,f2531,f2548,f2564,f2566,f2571,f2574,f2581,f2592,f2601,f2624,f2630,f2635,f2636,f2638,f2644,f2657,f2661,f2668,f2669,f2674,f2676,f2681,f2686,f2687,f2693,f2717,f2720,f2721,f2723,f2726,f2727,f2737,f2747,f2755,f2774,f2790,f2796,f2800,f2805,f2822,f2825,f2831,f2871,f2874,f2888,f2912,f2960,f2977,f2980,f2989,f3004,f3017,f3024,f3025,f3033,f3036,f3039,f3052,f3078,f3097,f3116,f3136,f3166,f3178,f3185,f3187,f3190,f3197,f3201,f3214,f3228,f3229,f3251,f3276,f3284,f3303,f3308,f3310,f3337,f3339,f3341,f3343,f3385,f3386,f3439,f3461,f3466,f3476,f3483,f3487,f3490,f3496,f3498,f3501,f3506,f3527,f3548,f3554,f3559,f3562,f3575,f3577,f3581,f3588,f3596,f3599,f3600,f3606,f3636,f3641,f3646,f3651,f3665,f3681,f3693,f3696,f3697,f3702,f3703,f3721,f3734,f3747,f3748,f3749,f3757,f3770,f3776,f3803,f3809,f3812,f3814,f3819,f3833,f3862,f3879,f3882,f3886,f3918,f3948,f3983,f3992,f3993,f4017,f4020,f4025,f4067,f4108,f4122,f4123,f4147,f4151,f4210,f4211,f4232,f4234,f4257,f4259,f4262,f4280,f4281,f4282,f4320,f4348,f4349,f4350,f4363,f4389,f4393,f4411,f4426,f4431,f4495,f4501,f4516,f4522,f4532,f4542,f4575,f4599,f4602,f4608,f4613,f4620,f4634,f4638,f4658,f4665,f4703,f4715,f4719,f4779,f4824,f4830,f4833,f4837,f4849]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG106+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 13:02:44 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 5.56/1.36 % Refutation found
% 5.56/1.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.56/1.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.55/1.40 % Elapsed time: 1.044581 seconds
% 6.55/1.40 % CPU time: 7.666679 seconds
% 6.55/1.40 % Total memory used: 184.460 MB
% 6.55/1.40 % Net memory used: 183.269 MB
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