%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG112+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 11:48:15 AM UTC 2026
% Result : Theorem 4.17s 1.10s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 296
% Syntax : Number of formulae : 1924 ( 212 unt; 279 def)
% Number of atoms : 6086 (2730 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 7229 (3067 ~;3267 |; 612 &)
% ( 283 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 281 ( 279 usr; 280 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( op1(op1(e13,e13),op1(e13,e13)) = e13
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e10,e13),op1(e10,e13)) = e10 )
| ( op1(op1(e13,e12),op1(e13,e12)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e10 )
| ( op1(op1(e13,e11),op1(e13,e11)) = e13
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e10,e11),op1(e10,e11)) = e10 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e13
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(op2(e23,e23),op2(e23,e23)) = e23
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e20,e23),op2(e20,e23)) = e20 )
| ( op2(op2(e23,e22),op2(e23,e22)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e20 )
| ( op2(op2(e23,e21),op2(e23,e21)) = e23
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e20,e21),op2(e20,e21)) = e20 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e23
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e13 = op1(e11,op1(op1(e11,e11),e11))
& e12 = op1(e11,e11)
& e10 = op1(op1(e11,e11),e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e23 = op2(e21,op2(op2(e21,e21),e21))
& e22 = op2(e21,e21)
& e20 = op2(op2(e21,e21),e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = op2(e20,op2(op2(e20,e20),e20))
& h1(e12) = op2(e20,e20)
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = op2(e21,op2(op2(e21,e21),e21))
& h2(e12) = op2(e21,e21)
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = op2(e22,op2(op2(e22,e22),e22))
& h3(e12) = op2(e22,e22)
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = op2(e23,op2(op2(e23,e23),e23))
& h4(e12) = op2(e23,e23)
& h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f22,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f26,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f28,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(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(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(f42,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f55,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f62,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f65,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f69,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f71,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(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(f78,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f80,plain,
( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f87,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(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(f97,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f104,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f109,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f110,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f117,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f123,plain,
op1(e10,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(f128,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f130,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f137,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f138,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f139,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f140,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f143,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f152,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f154,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f156,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f157,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f158,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f167,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f169,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f172,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f174,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f175,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f177,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f178,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f179,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f183,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f184,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f185,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f187,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f191,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f193,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(f201,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f202,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f205,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f210,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f220,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f240,definition,
( sP0_prd
<=> ( ( op1(op1(e13,e12),op1(e13,e12)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e10 )
| ( op1(op1(e13,e11),op1(e13,e11)) = e13
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e10,e11),op1(e10,e11)) = e10 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e13
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,plain,
( ( op1(op1(e13,e13),op1(e13,e13)) = e13
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e10,e13),op1(e10,e13)) = e10 )
| sP0_prd ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f242,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e10
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
( op1(op1(e11,e13),op1(e11,e13)) = e11
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f244,plain,
( op1(op1(e12,e13),op1(e12,e13)) = e12
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f246,definition,
( sP1_prd
<=> ( ( op2(op2(e23,e22),op2(e23,e22)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e20 )
| ( op2(op2(e23,e21),op2(e23,e21)) = e23
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e20,e21),op2(e20,e21)) = e20 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e23
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f247,plain,
( ( op2(op2(e23,e23),op2(e23,e23)) = e23
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e20,e23),op2(e20,e23)) = e20 )
| sP1_prd ),
inference(formula_renaming,[status(thm)],[f11,f246]) ).
fof(f248,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e20
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f249,plain,
( op2(op2(e21,e23),op2(e21,e23)) = e21
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f250,plain,
( op2(op2(e22,e23),op2(e22,e23)) = e22
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f251,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f247]) ).
fof(f252,plain,
e10 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f253,plain,
e12 = op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f254,plain,
e13 = op1(e11,op1(op1(e11,e11),e11)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f255,plain,
e20 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f256,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f257,plain,
e23 = op2(e21,op2(op2(e21,e21),e21)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f258,plain,
h1(e11) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f259,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f260,plain,
h1(e12) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f261,plain,
h1(e13) = op2(e20,op2(op2(e20,e20),e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f262,plain,
h2(e11) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f263,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f264,plain,
h2(e12) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f265,plain,
h2(e13) = op2(e21,op2(op2(e21,e21),e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f266,plain,
h3(e11) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f267,plain,
h3(e10) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f268,plain,
h3(e12) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f269,plain,
h3(e13) = op2(e22,op2(op2(e22,e22),e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f270,plain,
h4(e11) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f271,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f272,plain,
h4(e12) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f273,plain,
h4(e13) = op2(e23,op2(op2(e23,e23),e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f274,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(f275,definition,
( sP2_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f276,definition,
( sP3_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f277,definition,
( sP4_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f278,definition,
( sP5_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f279,definition,
( sP6_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f280,definition,
( sP7_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f281,definition,
( sP8_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f282,definition,
( sP9_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f283,definition,
( sP10_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f284,definition,
( sP11_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f285,definition,
( sP12_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f286,definition,
( sP13_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f287,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)],[f274,f286,f285,f284,f283,f282,f281,f280,f279,f278,f277,f276,f275]) ).
fof(f301,plain,
( h4(e11) != 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)],[f287]) ).
fof(f304,definition,
( sP14_prd
<=> ( ( op1(op1(e13,e11),op1(e13,e11)) = e13
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e10,e11),op1(e10,e11)) = e10 )
| ( op1(op1(e13,e10),op1(e13,e10)) = e13
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f305,plain,
( sP0_prd
<=> ( ( op1(op1(e13,e12),op1(e13,e12)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e10 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f304]) ).
fof(f306,plain,
( ( ( ( op1(op1(e13,e12),op1(e13,e12)) != e13
| op1(op1(e12,e12),op1(e12,e12)) != e12
| op1(op1(e11,e12),op1(e11,e12)) != e11
| op1(op1(e10,e12),op1(e10,e12)) != e10 )
& ~ sP14_prd )
| sP0_prd )
& ( ( op1(op1(e13,e12),op1(e13,e12)) = e13
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e10,e12),op1(e10,e12)) = e10 )
| sP14_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f305]) ).
fof(f307,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f308,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f310,plain,
( op1(op1(e13,e12),op1(e13,e12)) = e13
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f306]) ).
fof(f313,definition,
( sP15_prd
<=> ( ( op2(op2(e23,e21),op2(e23,e21)) = e23
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e20,e21),op2(e20,e21)) = e20 )
| ( op2(op2(e23,e20),op2(e23,e20)) = e23
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f314,plain,
( sP1_prd
<=> ( ( op2(op2(e23,e22),op2(e23,e22)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e20 )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f246,f313]) ).
fof(f315,plain,
( ( ( ( op2(op2(e23,e22),op2(e23,e22)) != e23
| op2(op2(e22,e22),op2(e22,e22)) != e22
| op2(op2(e21,e22),op2(e21,e22)) != e21
| op2(op2(e20,e22),op2(e20,e22)) != e20 )
& ~ sP15_prd )
| sP1_prd )
& ( ( op2(op2(e23,e22),op2(e23,e22)) = e23
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e20,e22),op2(e20,e22)) = e20 )
| sP15_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f314]) ).
fof(f316,plain,
( op2(op2(e20,e22),op2(e20,e22)) = e20
| sP15_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f317,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| sP15_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f315]) ).
fof(f322,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)],[f275]) ).
fof(f325,plain,
( h1(e12) != e20
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f322]) ).
fof(f340,plain,
( ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP5_prd )
& ( ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f278]) ).
fof(f341,plain,
( h2(e10) != e20
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f346,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)],[f279]) ).
fof(f348,plain,
( h2(e11) != e21
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f352,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)],[f280]) ).
fof(f355,plain,
( h2(e12) != e22
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f358,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)],[f281]) ).
fof(f359,plain,
( h3(e10) != e20
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f358]) ).
fof(f364,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)],[f282]) ).
fof(f367,plain,
( h3(e12) != e21
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f364]) ).
fof(f368,plain,
( h3(e13) != e21
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f364]) ).
fof(f370,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)],[f283]) ).
fof(f372,plain,
( h3(e11) != e22
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f370]) ).
fof(f376,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)],[f284]) ).
fof(f377,plain,
( h4(e10) != e20
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f382,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)],[f285]) ).
fof(f385,plain,
( h4(e12) != e21
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f382]) ).
fof(f388,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)],[f286]) ).
fof(f392,plain,
( h4(e13) != e22
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f394,definition,
( sP16_prd
<=> ( op1(op1(e13,e10),op1(e13,e10)) = e13
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f395,plain,
( sP14_prd
<=> ( ( op1(op1(e13,e11),op1(e13,e11)) = e13
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e10,e11),op1(e10,e11)) = e10 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f304,f394]) ).
fof(f396,plain,
( ( ( ( op1(op1(e13,e11),op1(e13,e11)) != e13
| op1(op1(e12,e11),op1(e12,e11)) != e12
| op1(op1(e11,e11),op1(e11,e11)) != e11
| op1(op1(e10,e11),op1(e10,e11)) != e10 )
& ~ sP16_prd )
| sP14_prd )
& ( ( op1(op1(e13,e11),op1(e13,e11)) = e13
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e10,e11),op1(e10,e11)) = e10 )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f395]) ).
fof(f397,plain,
( op1(op1(e10,e11),op1(e10,e11)) = e10
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f398,plain,
( op1(op1(e11,e11),op1(e11,e11)) = e11
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f403,definition,
( sP17_prd
<=> ( op2(op2(e23,e20),op2(e23,e20)) = e23
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f404,plain,
( sP15_prd
<=> ( ( op2(op2(e23,e21),op2(e23,e21)) = e23
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e20,e21),op2(e20,e21)) = e20 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f313,f403]) ).
fof(f405,plain,
( ( ( ( op2(op2(e23,e21),op2(e23,e21)) != e23
| op2(op2(e22,e21),op2(e22,e21)) != e22
| op2(op2(e21,e21),op2(e21,e21)) != e21
| op2(op2(e20,e21),op2(e20,e21)) != e20 )
& ~ sP17_prd )
| sP15_prd )
& ( ( op2(op2(e23,e21),op2(e23,e21)) = e23
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e20,e21),op2(e20,e21)) = e20 )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f404]) ).
fof(f406,plain,
( op2(op2(e20,e21),op2(e20,e21)) = e20
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f407,plain,
( op2(op2(e21,e21),op2(e21,e21)) = e21
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f408,plain,
( op2(op2(e22,e21),op2(e22,e21)) = e22
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f405]) ).
fof(f412,plain,
( ( op1(op1(e13,e10),op1(e13,e10)) != e13
| op1(op1(e12,e10),op1(e12,e10)) != e12
| op1(op1(e11,e10),op1(e11,e10)) != e11
| op1(op1(e10,e10),op1(e10,e10)) != e10
| sP16_prd )
& ( ( op1(op1(e13,e10),op1(e13,e10)) = e13
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e10,e10),op1(e10,e10)) = e10 )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f394]) ).
fof(f413,plain,
( op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f414,plain,
( op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f416,plain,
( op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f418,plain,
( ( op2(op2(e23,e20),op2(e23,e20)) != e23
| op2(op2(e22,e20),op2(e22,e20)) != e22
| op2(op2(e21,e20),op2(e21,e20)) != e21
| op2(op2(e20,e20),op2(e20,e20)) != e20
| sP17_prd )
& ( ( op2(op2(e23,e20),op2(e23,e20)) = e23
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e20,e20),op2(e20,e20)) = e20 )
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f403]) ).
fof(f419,plain,
( op2(op2(e20,e20),op2(e20,e20)) = e20
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f420,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f422,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f424,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ0_spl
| op1(e10,e10) != e10 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f424,f427,f430,f433]) ).
fof(f437,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f450,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f22,f450,f453,f456,f459]) ).
fof(f463,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f23,f463,f466,f469,f472]) ).
fof(f476,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f487,plain,
( sQ19_spl
| op1(e11,e10) != e13 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f489,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ20_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f498,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f25,f489,f492,f495,f498]) ).
fof(f502,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f26,f502,f505,f508,f511]) ).
fof(f515,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f27,f515,f518,f521,f524]) ).
fof(f528,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f28,f528,f531,f534,f537]) ).
fof(f541,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f542,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( sQ36_spl
| op1(e12,e11) != e10 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f554,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( ~ sQ40_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f564,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f30,f554,f557,f560,f563]) ).
fof(f567,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f31,f567,f570,f573,f576]) ).
fof(f580,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f586,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f32,f580,f583,f586,f589]) ).
fof(f593,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f596]) ).
fof(f599,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f603,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f606,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f613,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f616,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f34,f606,f609,f612,f615]) ).
fof(f619,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ60_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( ~ sQ61_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f629,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f35,f619,f622,f625,f628]) ).
fof(f632,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f424,f437,f450,f463]) ).
fof(f636,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f430,f443,f456,f469]) ).
fof(f638,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f42,f433,f446,f459,f472]) ).
fof(f640,plain,
( sQ28_spl
| sQ24_spl
| sQ20_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f44,f476,f489,f502,f515]) ).
fof(f643,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f440,f492,f544,f596]) ).
fof(f647,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f446,f498,f550,f602]) ).
fof(f649,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f450,f502,f554,f606]) ).
fof(f651,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f55,f453,f505,f557,f609]) ).
fof(f653,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f456,f508,f560,f612]) ).
fof(f654,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f58,f537,f550,f563,f576]) ).
fof(f655,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f459,f511,f563,f615]) ).
fof(f656,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f60,f580,f593,f606,f619]) ).
fof(f658,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f62,f583,f596,f609,f622]) ).
fof(f660,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f64,f586,f599,f612,f625]) ).
fof(f661,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f65,f469,f521,f573,f625]) ).
fof(f662,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f66,f589,f602,f615,f628]) ).
fof(f664,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( ~ sQ66_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ67_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f677,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f680,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f69,f677,f680,f683,f686]) ).
fof(f690,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ72_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f700,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f70,f690,f693,f696,f699]) ).
fof(f703,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f704,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f71,f703,f706,f709,f712]) ).
fof(f716,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f720,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f727,plain,
( sQ83_spl
| op2(e21,e20) != e23 ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f729,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( ~ sQ84_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f733,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f739,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f742,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( ~ sQ88_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f746,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f749,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f74,f742,f745,f748,f751]) ).
fof(f755,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f759,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f75,f755,f758,f761,f764]) ).
fof(f768,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f771,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ97_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f775,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f778,plain,
( ~ sQ99_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f76,f768,f771,f774,f777]) ).
fof(f781,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f794,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f801,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f78,f794,f797,f800,f803]) ).
fof(f807,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( sQ111_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f79,f807,f810,f813,f816]) ).
fof(f820,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,plain,
( sQ115_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f80,f820,f823,f826,f829]) ).
fof(f833,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f834,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f840,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f81,f833,f836,f839,f842]) ).
fof(f846,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f850,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f82,f846,f849,f852,f855]) ).
fof(f859,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f860,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( ~ sQ125_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f872,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f664,f677,f690,f703]) ).
fof(f873,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f664,f716,f768,f820]) ).
fof(f875,plain,
( sQ113_spl
| sQ97_spl
| sQ81_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f87,f667,f719,f771,f823]) ).
fof(f876,plain,
( sQ78_spl
| sQ74_spl
| sQ70_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f88,f670,f683,f696,f709]) ).
fof(f881,plain,
( sQ116_spl
| sQ100_spl
| sQ84_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f93,f677,f729,f781,f833]) ).
fof(f882,plain,
( sQ93_spl
| sQ89_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f94,f719,f732,f745,f758]) ).
fof(f885,plain,
( sQ118_spl
| sQ102_spl
| sQ86_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f97,f683,f735,f787,f839]) ).
fof(f890,plain,
( sQ109_spl
| sQ105_spl
| sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f102,f771,f784,f797,f810]) ).
fof(f892,plain,
( sQ110_spl
| sQ106_spl
| sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f104,f774,f787,f800,f813]) ).
fof(f893,plain,
( sQ122_spl
| sQ106_spl
| sQ90_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f105,f696,f748,f800,f852]) ).
fof(f894,plain,
( sQ111_spl
| sQ107_spl
| sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f106,f777,f790,f803,f816]) ).
fof(f895,plain,
( sQ123_spl
| sQ107_spl
| sQ91_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f107,f699,f751,f803,f855]) ).
fof(f897,plain,
( sQ124_spl
| sQ108_spl
| sQ92_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f109,f703,f755,f807,f859]) ).
fof(f898,plain,
( sQ125_spl
| sQ121_spl
| sQ117_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f110,f823,f836,f849,f862]) ).
fof(f899,plain,
( sQ125_spl
| sQ109_spl
| sQ93_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f111,f706,f758,f810,f862]) ).
fof(f903,plain,
( sQ127_spl
| sQ111_spl
| sQ95_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f115,f712,f764,f816,f868]) ).
fof(f904,definition,
( sQ128_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f907,definition,
( sQ129_spl
<=> op1(op1(e10,e13),op1(e10,e13)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f908,plain,
( ~ sQ129_spl
| op1(op1(e10,e13),op1(e10,e13)) = e10 ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,plain,
( sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f242,f904,f907]) ).
fof(f911,definition,
( sQ130_spl
<=> op1(op1(e11,e13),op1(e11,e13)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f912,plain,
( ~ sQ130_spl
| op1(op1(e11,e13),op1(e11,e13)) = e11 ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,plain,
( sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f243,f904,f911]) ).
fof(f915,definition,
( sQ131_spl
<=> op1(op1(e12,e13),op1(e12,e13)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f916,plain,
( ~ sQ131_spl
| op1(op1(e12,e13),op1(e12,e13)) = e12 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f917,plain,
( sQ131_spl
| op1(op1(e12,e13),op1(e12,e13)) != e12 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( sQ131_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f244,f904,f915]) ).
fof(f923,definition,
( sQ133_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f926,definition,
( sQ134_spl
<=> op2(op2(e20,e23),op2(e20,e23)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f927,plain,
( ~ sQ134_spl
| op2(op2(e20,e23),op2(e20,e23)) = e20 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f929,plain,
( sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f248,f923,f926]) ).
fof(f930,definition,
( sQ135_spl
<=> op2(op2(e21,e23),op2(e21,e23)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f931,plain,
( ~ sQ135_spl
| op2(op2(e21,e23),op2(e21,e23)) = e21 ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,plain,
( sQ135_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f249,f923,f930]) ).
fof(f934,definition,
( sQ136_spl
<=> op2(op2(e22,e23),op2(e22,e23)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( ~ sQ136_spl
| op2(op2(e22,e23),op2(e22,e23)) = e22 ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( sQ136_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f250,f923,f934]) ).
fof(f938,definition,
( sQ137_spl
<=> op2(op2(e23,e23),op2(e23,e23)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( ~ sQ137_spl
| op2(op2(e23,e23),op2(e23,e23)) = e23 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,plain,
( sQ137_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f251,f923,f938]) ).
fof(f945,definition,
( sQ139_spl
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f947,plain,
( sQ139_spl
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,definition,
( sQ140_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f950,plain,
( sQ140_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f954,definition,
( sQ142_spl
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f956,plain,
( sQ142_spl
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,definition,
( sQ143_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( sQ143_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f966,definition,
( sQ146_spl
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( sQ146_spl
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,definition,
( sQ147_spl
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f970,plain,
( ~ sQ147_spl
| h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f971,plain,
( sQ147_spl
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11)) ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f975,definition,
( sQ149_spl
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( sQ149_spl
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f975]) ).
fof(f981,definition,
( sQ151_spl
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f983,plain,
( sQ151_spl
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,definition,
( sQ152_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f986,plain,
( sQ152_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f990,definition,
( sQ154_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1015,definition,
( sQ161_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1017,plain,
( sQ161_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,definition,
( sQ162_spl
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1020,plain,
( sQ162_spl
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,definition,
( sQ163_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1023,plain,
( sQ163_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1024,definition,
( sQ164_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( sQ164_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1027,definition,
( sQ165_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( sQ165_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f1027]) ).
fof(f1030,definition,
( sQ166_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1031,plain,
( ~ sQ166_spl
| h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f1030]) ).
fof(f1032,plain,
( sQ166_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f1030]) ).
fof(f1039,definition,
( sQ169_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1041,plain,
( sQ169_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,definition,
( sQ170_spl
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( sQ170_spl
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,definition,
( sQ171_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1047,plain,
( sQ171_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,definition,
( sQ172_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( sQ172_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1051,definition,
( sQ173_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1053,plain,
( sQ173_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,definition,
( sQ174_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1056,plain,
( sQ174_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1063,definition,
( sQ177_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1066,definition,
( sQ178_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1069,definition,
( sQ179_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1084,definition,
( sQ183_spl
<=> h2(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
( ~ sQ183_spl
| h2(e13) = e23 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1086,plain,
( sQ183_spl
| h2(e13) != e23 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1088,definition,
( sQ184_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1090,plain,
( sQ184_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1091,definition,
( sQ185_spl
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1093,plain,
( sQ185_spl
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11)) ),
inference(component_clause,[status(thm)],[f1091]) ).
fof(f1094,definition,
( sQ186_spl
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1096,plain,
( sQ186_spl
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1097,definition,
( sQ187_spl
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
( sQ187_spl
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1097]) ).
fof(f1100,definition,
( sQ188_spl
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1102,plain,
( sQ188_spl
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f1100]) ).
fof(f1103,definition,
( sQ189_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1104,plain,
( ~ sQ189_spl
| h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f1103]) ).
fof(f1105,plain,
( sQ189_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f1103]) ).
fof(f1115,definition,
( sQ193_spl
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1117,plain,
( sQ193_spl
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11)) ),
inference(component_clause,[status(thm)],[f1115]) ).
fof(f1121,definition,
( sQ195_spl
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1123,plain,
( sQ195_spl
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,definition,
( sQ196_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1126,plain,
( sQ196_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1127,definition,
( sQ197_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1129,plain,
( sQ197_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1136,definition,
( sQ200_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1139,definition,
( sQ201_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1142,definition,
( sQ202_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1153,definition,
( sQ205_spl
<=> h3(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
( ~ sQ205_spl
| h3(e12) = e23 ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1155,plain,
( sQ205_spl
| h3(e12) != e23 ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1161,definition,
( sQ207_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1163,plain,
( sQ207_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,definition,
( sQ208_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1166,plain,
( sQ208_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1167,definition,
( sQ209_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( sQ209_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1170,definition,
( sQ210_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
( sQ210_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,definition,
( sQ211_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1175,plain,
( sQ211_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f1173]) ).
fof(f1176,definition,
( sQ212_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1178,plain,
( sQ212_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1179,definition,
( sQ213_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1181,plain,
( sQ213_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1182,definition,
( sQ214_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1184,plain,
( sQ214_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f1182]) ).
fof(f1185,definition,
( sQ215_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1187,plain,
( sQ215_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1185]) ).
fof(f1188,definition,
( sQ216_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1190,plain,
( sQ216_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f1188]) ).
fof(f1191,definition,
( sQ217_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1193,plain,
( sQ217_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f1191]) ).
fof(f1194,definition,
( sQ218_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( sQ218_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1197,definition,
( sQ219_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1199,plain,
( sQ219_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1200,definition,
( sQ220_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( sQ220_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1203,definition,
( sQ221_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1205,plain,
( sQ221_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f1203]) ).
fof(f1206,definition,
( sQ222_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1208,plain,
( sQ222_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1206]) ).
fof(f1209,definition,
( sQ223_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1212,definition,
( sQ224_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1215,definition,
( sQ225_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1222,definition,
( sQ227_spl
<=> h4(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1223,plain,
( ~ sQ227_spl
| h4(e11) = e23 ),
inference(component_clause,[status(thm)],[f1222]) ).
fof(f1224,plain,
( sQ227_spl
| h4(e11) != e23 ),
inference(component_clause,[status(thm)],[f1222]) ).
fof(f1225,plain,
( ~ sQ227_spl
| sQ225_spl
| sQ224_spl
| sQ223_spl
| ~ sQ222_spl
| ~ sQ221_spl
| ~ sQ220_spl
| ~ sQ219_spl
| ~ sQ218_spl
| ~ sQ217_spl
| ~ sQ216_spl
| ~ sQ215_spl
| ~ sQ214_spl
| ~ sQ213_spl
| ~ sQ212_spl
| ~ sQ211_spl
| ~ sQ210_spl
| ~ sQ209_spl
| ~ sQ208_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f301,f1161,f1164,f1167,f1170,f1173,f1176,f1179,f1182,f1185,f1188,f1191,f1194,f1197,f1200,f1203,f1206,f1209,f1212,f1215,f1222]) ).
fof(f1226,definition,
( sQ228_spl
<=> h4(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1234,definition,
( sQ230_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1237,definition,
( sQ231_spl
<=> op1(op1(e10,e12),op1(e10,e12)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1238,plain,
( ~ sQ231_spl
| op1(op1(e10,e12),op1(e10,e12)) = e10 ),
inference(component_clause,[status(thm)],[f1237]) ).
fof(f1240,plain,
( sQ231_spl
| sQ230_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f307,f904,f1234,f1237]) ).
fof(f1241,definition,
( sQ232_spl
<=> op1(op1(e11,e12),op1(e11,e12)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1242,plain,
( ~ sQ232_spl
| op1(op1(e11,e12),op1(e11,e12)) = e11 ),
inference(component_clause,[status(thm)],[f1241]) ).
fof(f1244,plain,
( sQ232_spl
| sQ230_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f308,f904,f1234,f1241]) ).
fof(f1249,definition,
( sQ234_spl
<=> op1(op1(e13,e12),op1(e13,e12)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( ~ sQ234_spl
| op1(op1(e13,e12),op1(e13,e12)) = e13 ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1252,plain,
( sQ234_spl
| sQ230_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f310,f904,f1234,f1249]) ).
fof(f1255,definition,
( sQ235_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1258,definition,
( sQ236_spl
<=> op2(op2(e20,e22),op2(e20,e22)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1259,plain,
( ~ sQ236_spl
| op2(op2(e20,e22),op2(e20,e22)) = e20 ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1261,plain,
( sQ236_spl
| sQ235_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f316,f923,f1255,f1258]) ).
fof(f1262,definition,
( sQ237_spl
<=> op2(op2(e21,e22),op2(e21,e22)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( ~ sQ237_spl
| op2(op2(e21,e22),op2(e21,e22)) = e21 ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,plain,
( sQ237_spl
| sQ235_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f317,f923,f1255,f1262]) ).
fof(f1270,definition,
( sQ239_spl
<=> op2(op2(e23,e22),op2(e23,e22)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1271,plain,
( ~ sQ239_spl
| op2(op2(e23,e22),op2(e23,e22)) = e23 ),
inference(component_clause,[status(thm)],[f1270]) ).
fof(f1284,definition,
( sQ242_spl
<=> h1(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1285,plain,
( ~ sQ242_spl
| h1(e12) = e20 ),
inference(component_clause,[status(thm)],[f1284]) ).
fof(f1287,plain,
( ~ sQ242_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f325,f990,f1284]) ).
fof(f1297,definition,
( sQ245_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1298,plain,
( ~ sQ245_spl
| h1(e11) = e21 ),
inference(component_clause,[status(thm)],[f1297]) ).
fof(f1301,definition,
( sQ246_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1314,definition,
( sQ249_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1315,plain,
( ~ sQ249_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1318,definition,
( sQ250_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1327,definition,
( sQ252_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1328,plain,
( ~ sQ252_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f1327]) ).
fof(f1329,plain,
( sQ252_spl
| h2(e10) != e20 ),
inference(component_clause,[status(thm)],[f1327]) ).
fof(f1330,plain,
( ~ sQ252_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f341,f1063,f1327]) ).
fof(f1331,definition,
( sQ253_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1332,plain,
( ~ sQ253_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f1331]) ).
fof(f1335,definition,
( sQ254_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1336,plain,
( ~ sQ254_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1344,definition,
( sQ256_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1345,plain,
( ~ sQ256_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f1344]) ).
fof(f1348,definition,
( sQ257_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1350,plain,
( sQ257_spl
| h2(e11) != e21 ),
inference(component_clause,[status(thm)],[f1348]) ).
fof(f1351,plain,
( ~ sQ257_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f348,f1066,f1348]) ).
fof(f1352,definition,
( sQ258_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1353,plain,
( ~ sQ258_spl
| h2(e12) = e21 ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1356,definition,
( sQ259_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1357,plain,
( ~ sQ259_spl
| h2(e13) = e21 ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1361,definition,
( sQ260_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1362,plain,
( ~ sQ260_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f1361]) ).
fof(f1363,plain,
( sQ260_spl
| h2(e10) != e22 ),
inference(component_clause,[status(thm)],[f1361]) ).
fof(f1365,definition,
( sQ261_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1366,plain,
( ~ sQ261_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f1365]) ).
fof(f1369,definition,
( sQ262_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1370,plain,
( ~ sQ262_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f1369]) ).
fof(f1371,plain,
( sQ262_spl
| h2(e12) != e22 ),
inference(component_clause,[status(thm)],[f1369]) ).
fof(f1372,plain,
( ~ sQ262_spl
| ~ sQ179_spl ),
inference(split_clause,[status(thm)],[f355,f1069,f1369]) ).
fof(f1378,definition,
( sQ264_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1379,plain,
( ~ sQ264_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1380,plain,
( sQ264_spl
| h3(e10) != e20 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1381,plain,
( ~ sQ264_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f359,f1136,f1378]) ).
fof(f1382,definition,
( sQ265_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1383,plain,
( ~ sQ265_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f1382]) ).
fof(f1386,definition,
( sQ266_spl
<=> h3(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1387,plain,
( ~ sQ266_spl
| h3(e12) = e20 ),
inference(component_clause,[status(thm)],[f1386]) ).
fof(f1390,definition,
( sQ267_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1391,plain,
( ~ sQ267_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1395,definition,
( sQ268_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1396,plain,
( ~ sQ268_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f1395]) ).
fof(f1399,definition,
( sQ269_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1400,plain,
( ~ sQ269_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1403,definition,
( sQ270_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f1404,plain,
( ~ sQ270_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1406,plain,
( ~ sQ270_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f367,f1139,f1403]) ).
fof(f1407,definition,
( sQ271_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1408,plain,
( ~ sQ271_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f1407]) ).
fof(f1409,plain,
( sQ271_spl
| h3(e13) != e21 ),
inference(component_clause,[status(thm)],[f1407]) ).
fof(f1410,plain,
( ~ sQ271_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f368,f1139,f1407]) ).
fof(f1412,definition,
( sQ272_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1413,plain,
( ~ sQ272_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f1412]) ).
fof(f1416,definition,
( sQ273_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1418,plain,
( sQ273_spl
| h3(e11) != e22 ),
inference(component_clause,[status(thm)],[f1416]) ).
fof(f1419,plain,
( ~ sQ273_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f372,f1142,f1416]) ).
fof(f1420,definition,
( sQ274_spl
<=> h3(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1421,plain,
( ~ sQ274_spl
| h3(e12) = e22 ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1424,definition,
( sQ275_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f1425,plain,
( ~ sQ275_spl
| h3(e13) = e22 ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1426,plain,
( sQ275_spl
| h3(e13) != e22 ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1429,definition,
( sQ276_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f1430,plain,
( ~ sQ276_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1431,plain,
( sQ276_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1432,plain,
( ~ sQ276_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f377,f1209,f1429]) ).
fof(f1433,definition,
( sQ277_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f1434,plain,
( ~ sQ277_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1437,definition,
( sQ278_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( ~ sQ278_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f1437]) ).
fof(f1446,definition,
( sQ280_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
( ~ sQ280_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f1446]) ).
fof(f1450,definition,
( sQ281_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f1451,plain,
( ~ sQ281_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1454,definition,
( sQ282_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f1455,plain,
( ~ sQ282_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f1454]) ).
fof(f1457,plain,
( ~ sQ282_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f385,f1212,f1454]) ).
fof(f1458,definition,
( sQ283_spl
<=> h4(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f1459,plain,
( ~ sQ283_spl
| h4(e13) = e21 ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1463,definition,
( sQ284_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f1464,plain,
( ~ sQ284_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1467,definition,
( sQ285_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( ~ sQ285_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1471,definition,
( sQ286_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f1472,plain,
( ~ sQ286_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f1471]) ).
fof(f1473,plain,
( sQ286_spl
| h4(e12) != e22 ),
inference(component_clause,[status(thm)],[f1471]) ).
fof(f1475,definition,
( sQ287_spl
<=> h4(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f1476,plain,
( ~ sQ287_spl
| h4(e13) = e22 ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1477,plain,
( sQ287_spl
| h4(e13) != e22 ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1478,plain,
( ~ sQ287_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f392,f1215,f1475]) ).
fof(f1480,definition,
( sQ288_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f1483,definition,
( sQ289_spl
<=> op1(op1(e10,e11),op1(e10,e11)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( ~ sQ289_spl
| op1(op1(e10,e11),op1(e10,e11)) = e10 ),
inference(component_clause,[status(thm)],[f1483]) ).
fof(f1486,plain,
( sQ289_spl
| sQ288_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f397,f1234,f1480,f1483]) ).
fof(f1487,definition,
( sQ290_spl
<=> op1(op1(e11,e11),op1(e11,e11)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f1488,plain,
( ~ sQ290_spl
| op1(op1(e11,e11),op1(e11,e11)) = e11 ),
inference(component_clause,[status(thm)],[f1487]) ).
fof(f1490,plain,
( sQ290_spl
| sQ288_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f398,f1234,f1480,f1487]) ).
fof(f1491,definition,
( sQ291_spl
<=> op1(op1(e12,e11),op1(e12,e11)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f1492,plain,
( ~ sQ291_spl
| op1(op1(e12,e11),op1(e12,e11)) = e12 ),
inference(component_clause,[status(thm)],[f1491]) ).
fof(f1493,plain,
( sQ291_spl
| op1(op1(e12,e11),op1(e12,e11)) != e12 ),
inference(component_clause,[status(thm)],[f1491]) ).
fof(f1501,definition,
( sQ293_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f1504,definition,
( sQ294_spl
<=> op2(op2(e20,e21),op2(e20,e21)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
( ~ sQ294_spl
| op2(op2(e20,e21),op2(e20,e21)) = e20 ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1507,plain,
( sQ294_spl
| sQ293_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f406,f1255,f1501,f1504]) ).
fof(f1508,definition,
( sQ295_spl
<=> op2(op2(e21,e21),op2(e21,e21)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f1509,plain,
( ~ sQ295_spl
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1510,plain,
( sQ295_spl
| op2(op2(e21,e21),op2(e21,e21)) != e21 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1511,plain,
( sQ295_spl
| sQ293_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f407,f1255,f1501,f1508]) ).
fof(f1512,definition,
( sQ296_spl
<=> op2(op2(e22,e21),op2(e22,e21)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f1513,plain,
( ~ sQ296_spl
| op2(op2(e22,e21),op2(e22,e21)) = e22 ),
inference(component_clause,[status(thm)],[f1512]) ).
fof(f1514,plain,
( sQ296_spl
| op2(op2(e22,e21),op2(e22,e21)) != e22 ),
inference(component_clause,[status(thm)],[f1512]) ).
fof(f1515,plain,
( sQ296_spl
| sQ293_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f408,f1255,f1501,f1512]) ).
fof(f1516,definition,
( sQ297_spl
<=> op2(op2(e23,e21),op2(e23,e21)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f1517,plain,
( ~ sQ297_spl
| op2(op2(e23,e21),op2(e23,e21)) = e23 ),
inference(component_clause,[status(thm)],[f1516]) ).
fof(f1522,definition,
( sQ298_spl
<=> op1(op1(e10,e10),op1(e10,e10)) = e10 ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f1523,plain,
( ~ sQ298_spl
| op1(op1(e10,e10),op1(e10,e10)) = e10 ),
inference(component_clause,[status(thm)],[f1522]) ).
fof(f1525,plain,
( sQ298_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f413,f1480,f1522]) ).
fof(f1526,definition,
( sQ299_spl
<=> op1(op1(e11,e10),op1(e11,e10)) = e11 ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f1527,plain,
( ~ sQ299_spl
| op1(op1(e11,e10),op1(e11,e10)) = e11 ),
inference(component_clause,[status(thm)],[f1526]) ).
fof(f1528,plain,
( sQ299_spl
| op1(op1(e11,e10),op1(e11,e10)) != e11 ),
inference(component_clause,[status(thm)],[f1526]) ).
fof(f1529,plain,
( sQ299_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f414,f1480,f1526]) ).
fof(f1530,definition,
( sQ300_spl
<=> op1(op1(e12,e10),op1(e12,e10)) = e12 ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f1532,plain,
( sQ300_spl
| op1(op1(e12,e10),op1(e12,e10)) != e12 ),
inference(component_clause,[status(thm)],[f1530]) ).
fof(f1534,definition,
( sQ301_spl
<=> op1(op1(e13,e10),op1(e13,e10)) = e13 ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f1535,plain,
( ~ sQ301_spl
| op1(op1(e13,e10),op1(e13,e10)) = e13 ),
inference(component_clause,[status(thm)],[f1534]) ).
fof(f1537,plain,
( sQ301_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f416,f1480,f1534]) ).
fof(f1539,definition,
( sQ302_spl
<=> op2(op2(e20,e20),op2(e20,e20)) = e20 ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
( ~ sQ302_spl
| op2(op2(e20,e20),op2(e20,e20)) = e20 ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1542,plain,
( sQ302_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f419,f1501,f1539]) ).
fof(f1543,definition,
( sQ303_spl
<=> op2(op2(e21,e20),op2(e21,e20)) = e21 ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f1544,plain,
( ~ sQ303_spl
| op2(op2(e21,e20),op2(e21,e20)) = e21 ),
inference(component_clause,[status(thm)],[f1543]) ).
fof(f1546,plain,
( sQ303_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f420,f1501,f1543]) ).
fof(f1547,definition,
( sQ304_spl
<=> op2(op2(e22,e20),op2(e22,e20)) = e22 ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f1548,plain,
( ~ sQ304_spl
| op2(op2(e22,e20),op2(e22,e20)) = e22 ),
inference(component_clause,[status(thm)],[f1547]) ).
fof(f1549,plain,
( sQ304_spl
| op2(op2(e22,e20),op2(e22,e20)) != e22 ),
inference(component_clause,[status(thm)],[f1547]) ).
fof(f1551,definition,
( sQ305_spl
<=> op2(op2(e23,e20),op2(e23,e20)) = e23 ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ305_spl
| op2(op2(e23,e20),op2(e23,e20)) = e23 ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1554,plain,
( sQ305_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f422,f1501,f1551]) ).
fof(f1557,plain,
( sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f1224]) ).
fof(f1558,plain,
sQ227_spl,
inference(contradiction_clause,[status(thm)],[f1557]) ).
fof(f1561,plain,
( sQ214_spl
| ~ sQ287_spl
| h4(op1(e11,e13)) != op2(h4(e11),e22) ),
inference(backward_demodulation,[status(thm)],[f1476,f1184]) ).
fof(f1566,plain,
( sQ221_spl
| ~ sQ287_spl
| h4(op1(e13,e12)) != op2(e22,h4(e12)) ),
inference(backward_demodulation,[status(thm)],[f1476,f1205]) ).
fof(f1581,plain,
( ~ sQ287_spl
| ~ sQ283_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1459,f1476]) ).
fof(f1582,plain,
( ~ sQ287_spl
| ~ sQ283_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1581,f221]) ).
fof(f1583,plain,
( ~ sQ287_spl
| ~ sQ283_spl ),
inference(contradiction_clause,[status(thm)],[f1582]) ).
fof(f1590,plain,
( ~ sQ286_spl
| ~ sQ282_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1455,f1472]) ).
fof(f1591,plain,
( ~ sQ286_spl
| ~ sQ282_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1590,f221]) ).
fof(f1592,plain,
( ~ sQ286_spl
| ~ sQ282_spl ),
inference(contradiction_clause,[status(thm)],[f1591]) ).
fof(f1610,plain,
( ~ sQ275_spl
| ~ sQ271_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1408,f1425]) ).
fof(f1611,plain,
( ~ sQ275_spl
| ~ sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1610,f221]) ).
fof(f1612,plain,
( ~ sQ275_spl
| ~ sQ271_spl ),
inference(contradiction_clause,[status(thm)],[f1611]) ).
fof(f1613,plain,
( ~ sQ274_spl
| ~ sQ270_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1404,f1421]) ).
fof(f1614,plain,
( ~ sQ274_spl
| ~ sQ270_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1613,f221]) ).
fof(f1615,plain,
( ~ sQ274_spl
| ~ sQ270_spl ),
inference(contradiction_clause,[status(thm)],[f1614]) ).
fof(f1616,plain,
( ~ sQ269_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1400,f266]) ).
fof(f1617,plain,
( ~ sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1616,f221]) ).
fof(f1618,plain,
~ sQ269_spl,
inference(contradiction_clause,[status(thm)],[f1617]) ).
fof(f1628,plain,
( ~ sQ261_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f262,f1366]) ).
fof(f1629,plain,
( ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1628,f221]) ).
fof(f1630,plain,
~ sQ261_spl,
inference(contradiction_clause,[status(thm)],[f1629]) ).
fof(f1636,plain,
( ~ sQ262_spl
| ~ sQ258_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1353,f1370]) ).
fof(f1637,plain,
( ~ sQ262_spl
| ~ sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1636,f221]) ).
fof(f1638,plain,
( ~ sQ262_spl
| ~ sQ258_spl ),
inference(contradiction_clause,[status(thm)],[f1637]) ).
fof(f1644,plain,
( ~ sQ253_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f1332,f262]) ).
fof(f1645,plain,
( ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1644,f218]) ).
fof(f1646,plain,
~ sQ253_spl,
inference(contradiction_clause,[status(thm)],[f1645]) ).
fof(f1651,plain,
( ~ sQ249_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f258,f1315]) ).
fof(f1652,plain,
( ~ sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1651,f219]) ).
fof(f1653,plain,
~ sQ249_spl,
inference(contradiction_clause,[status(thm)],[f1652]) ).
fof(f1662,plain,
( ~ sQ245_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f258,f1298]) ).
fof(f1663,plain,
( ~ sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1662,f218]) ).
fof(f1664,plain,
~ sQ245_spl,
inference(contradiction_clause,[status(thm)],[f1663]) ).
fof(f1671,plain,
( ~ sQ277_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1434,f270]) ).
fof(f1672,plain,
( ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1671,f220]) ).
fof(f1673,plain,
~ sQ277_spl,
inference(contradiction_clause,[status(thm)],[f1672]) ).
fof(f1675,plain,
e10 = op1(e12,e11),
inference(backward_demodulation,[status(thm)],[f253,f252]) ).
fof(f1676,plain,
e12 != op1(e11,e13),
inference(backward_demodulation,[status(thm)],[f253,f150]) ).
fof(f1677,plain,
e12 != op1(e11,e12),
inference(backward_demodulation,[status(thm)],[f253,f149]) ).
fof(f1678,plain,
op1(e11,e10) != e12,
inference(backward_demodulation,[status(thm)],[f253,f146]) ).
fof(f1679,plain,
e12 != op1(e13,e11),
inference(backward_demodulation,[status(thm)],[f253,f126]) ).
fof(f1682,plain,
e13 = op1(e11,op1(e12,e11)),
inference(forward_demodulation,[status(thm)],[f253,f254]) ).
fof(f1688,plain,
e20 = op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f256,f255]) ).
fof(f1689,plain,
e22 != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f256,f198]) ).
fof(f1690,plain,
e22 != op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f256,f197]) ).
fof(f1692,plain,
e22 != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f256,f174]) ).
fof(f1694,plain,
op2(e20,e21) != e22,
inference(backward_demodulation,[status(thm)],[f256,f170]) ).
fof(f1695,plain,
e23 = op2(e21,op2(e22,e21)),
inference(forward_demodulation,[status(thm)],[f256,f257]) ).
fof(f1697,plain,
( ~ sQ282_spl
| ~ sQ278_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1438,f1455]) ).
fof(f1698,plain,
( ~ sQ282_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1697,f218]) ).
fof(f1699,plain,
( ~ sQ282_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f1698]) ).
fof(f1704,plain,
( ~ sQ284_spl
| ~ sQ276_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1430,f1464]) ).
fof(f1705,plain,
( ~ sQ284_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1704,f219]) ).
fof(f1706,plain,
( ~ sQ284_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f1705]) ).
fof(f1707,plain,
( sQ208_spl
| ~ sQ227_spl
| h4(op1(e10,e11)) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f1223,f1166]) ).
fof(f1713,plain,
h1(e10) = op2(h1(e12),e20),
inference(backward_demodulation,[status(thm)],[f260,f259]) ).
fof(f1719,plain,
h1(e12) != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f260,f190]) ).
fof(f1721,plain,
h1(e12) != op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f260,f188]) ).
fof(f1723,plain,
h1(e12) != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f260,f165]) ).
fof(f1732,plain,
( ~ sQ252_spl
| e20 = op2(op2(e21,e21),e21) ),
inference(forward_demodulation,[status(thm)],[f1328,f263]) ).
fof(f1736,plain,
( ~ sQ252_spl
| op2(e22,e20) != e20 ),
inference(backward_demodulation,[status(thm)],[f1739,f200]) ).
fof(f1738,plain,
( ~ sQ252_spl
| op2(e20,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f1739,f171]) ).
fof(f1739,plain,
( ~ sQ252_spl
| e20 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f256,f1732]) ).
fof(f1740,plain,
( ~ sQ254_spl
| e22 = e20 ),
inference(backward_demodulation,[status(thm)],[f1741,f256]) ).
fof(f1741,plain,
( ~ sQ254_spl
| e20 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1336,f264]) ).
fof(f1742,plain,
( ~ sQ254_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1740,f219]) ).
fof(f1743,plain,
~ sQ254_spl,
inference(contradiction_clause,[status(thm)],[f1742]) ).
fof(f1745,plain,
( ~ sQ265_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1383,f266]) ).
fof(f1746,plain,
( ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1745,f219]) ).
fof(f1747,plain,
~ sQ265_spl,
inference(contradiction_clause,[status(thm)],[f1746]) ).
fof(f1753,plain,
( ~ sQ266_spl
| e20 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f1756,f181]) ).
fof(f1756,plain,
( ~ sQ266_spl
| e20 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1387,f268]) ).
fof(f1759,plain,
( ~ sQ270_spl
| ~ sQ266_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1387,f1404]) ).
fof(f1760,plain,
( ~ sQ270_spl
| ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1759,f218]) ).
fof(f1761,plain,
( ~ sQ270_spl
| ~ sQ266_spl ),
inference(contradiction_clause,[status(thm)],[f1760]) ).
fof(f1762,plain,
( ~ sQ268_spl
| ~ sQ264_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1379,f1396]) ).
fof(f1763,plain,
( ~ sQ268_spl
| ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1762,f218]) ).
fof(f1764,plain,
( ~ sQ268_spl
| ~ sQ264_spl ),
inference(contradiction_clause,[status(thm)],[f1763]) ).
fof(f1768,plain,
h4(e10) = op2(h4(e12),e23),
inference(backward_demodulation,[status(thm)],[f272,f271]) ).
fof(f1770,plain,
op2(e23,e21) != h4(e12),
inference(backward_demodulation,[status(thm)],[f272,f210]) ).
fof(f1772,plain,
op2(e22,e23) != h4(e12),
inference(backward_demodulation,[status(thm)],[f272,f187]) ).
fof(f1773,plain,
op2(e21,e23) != h4(e12),
inference(backward_demodulation,[status(thm)],[f272,f186]) ).
fof(f1774,plain,
op2(e20,e23) != h4(e12),
inference(backward_demodulation,[status(thm)],[f272,f184]) ).
fof(f1777,plain,
( ~ sQ275_spl
| ~ sQ267_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1391,f1425]) ).
fof(f1778,plain,
( ~ sQ275_spl
| ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1777,f219]) ).
fof(f1779,plain,
( ~ sQ275_spl
| ~ sQ267_spl ),
inference(contradiction_clause,[status(thm)],[f1778]) ).
fof(f1781,plain,
( sQ189_spl
| h3(e12) != op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f253,f1105]) ).
fof(f1782,plain,
( ~ sQ260_spl
| ~ sQ252_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1328,f1362]) ).
fof(f1783,plain,
( ~ sQ260_spl
| ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1782,f219]) ).
fof(f1784,plain,
( ~ sQ260_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f1783]) ).
fof(f1788,plain,
( ~ sQ256_spl
| ~ sQ252_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1328,f1345]) ).
fof(f1789,plain,
( ~ sQ256_spl
| ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1788,f218]) ).
fof(f1790,plain,
( ~ sQ256_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f1789]) ).
fof(f1793,plain,
( sQ174_spl
| h2(op1(e13,e11)) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f262,f1056]) ).
fof(f1795,plain,
( sQ170_spl
| h2(op1(e12,e11)) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f262,f1044]) ).
fof(f1804,plain,
( sQ166_spl
| h2(e12) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f253,f1032]) ).
fof(f1805,plain,
( sQ166_spl
| h2(e12) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f262,f1804]) ).
fof(f1806,plain,
( sQ166_spl
| h2(e12) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f262,f1805]) ).
fof(f1808,plain,
( sQ165_spl
| h2(op1(e11,e10)) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f262,f1029]) ).
fof(f1809,plain,
( sQ162_spl
| h2(op1(e10,e11)) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f262,f1020]) ).
fof(f1823,plain,
( ~ sQ286_spl
| ~ sQ278_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1438,f1472]) ).
fof(f1824,plain,
( ~ sQ286_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1823,f219]) ).
fof(f1825,plain,
( ~ sQ286_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f1824]) ).
fof(f1831,plain,
( sQ185_spl
| h3(op1(e10,e11)) != op2(h3(e10),e22) ),
inference(backward_demodulation,[status(thm)],[f266,f1093]) ).
fof(f1832,plain,
( sQ188_spl
| h3(op1(e11,e10)) != op2(e22,h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f266,f1102]) ).
fof(f1833,plain,
( sQ189_spl
| h3(e12) != op2(h3(e11),e22) ),
inference(backward_demodulation,[status(thm)],[f266,f1781]) ).
fof(f1837,plain,
( sQ189_spl
| h3(e12) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f266,f1833]) ).
fof(f1853,plain,
( sQ143_spl
| h1(e12) != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f253,f959]) ).
fof(f1857,plain,
( sQ142_spl
| h1(op1(e11,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f258,f956]) ).
fof(f1862,plain,
( sQ184_spl
| ~ sQ264_spl
| h3(op1(e10,e10)) != op2(h3(e10),e20) ),
inference(backward_demodulation,[status(thm)],[f1379,f1090]) ).
fof(f1864,plain,
( sQ187_spl
| ~ sQ264_spl
| h3(op1(e10,e13)) != op2(e20,h3(e13)) ),
inference(backward_demodulation,[status(thm)],[f1379,f1099]) ).
fof(f1868,plain,
( sQ184_spl
| ~ sQ264_spl
| h3(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1379,f1862]) ).
fof(f1880,plain,
( ~ sQ111_spl
| op2(e20,e23) != e23 ),
inference(backward_demodulation,[status(thm)],[f817,f183]) ).
fof(f1884,plain,
( ~ sQ95_spl
| op2(e21,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f765,f196]) ).
fof(f1887,plain,
( ~ sQ79_spl
| op2(e20,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f713,f192]) ).
fof(f1898,plain,
( ~ sQ123_spl
| op2(e23,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f856,f209]) ).
fof(f1903,plain,
( ~ sQ119_spl
| op2(e20,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f843,f172]) ).
fof(f1911,plain,
( ~ sQ111_spl
| ~ sQ110_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f814,f817]) ).
fof(f1912,plain,
( ~ sQ111_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1911,f223]) ).
fof(f1913,plain,
( ~ sQ111_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f1912]) ).
fof(f1914,plain,
( ~ sQ280_spl
| ~ sQ276_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f1430,f1447]) ).
fof(f1915,plain,
( ~ sQ280_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1914,f218]) ).
fof(f1916,plain,
( ~ sQ280_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f1915]) ).
fof(f1920,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f710,f713]) ).
fof(f1921,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1920,f223]) ).
fof(f1922,plain,
( ~ sQ79_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1921]) ).
fof(f1923,plain,
( ~ sQ123_spl
| ~ sQ122_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f853,f856]) ).
fof(f1924,plain,
( ~ sQ123_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1923,f223]) ).
fof(f1925,plain,
( ~ sQ123_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f1924]) ).
fof(f1932,plain,
( ~ sQ227_spl
| ~ sQ281_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f1451,f1223]) ).
fof(f1933,plain,
( ~ sQ227_spl
| ~ sQ281_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1932,f222]) ).
fof(f1934,plain,
( ~ sQ227_spl
| ~ sQ281_spl ),
inference(contradiction_clause,[status(thm)],[f1933]) ).
fof(f1938,plain,
( sQ216_spl
| ~ sQ227_spl
| h4(op1(e12,e11)) != op2(h4(e12),e23) ),
inference(backward_demodulation,[status(thm)],[f1223,f1190]) ).
fof(f1939,plain,
( ~ sQ227_spl
| ~ sQ285_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f1468,f1223]) ).
fof(f1940,plain,
( ~ sQ227_spl
| ~ sQ285_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1939,f223]) ).
fof(f1941,plain,
( ~ sQ227_spl
| ~ sQ285_spl ),
inference(contradiction_clause,[status(thm)],[f1940]) ).
fof(f1945,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f756,f759]) ).
fof(f1946,plain,
( ~ sQ93_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1945,f218]) ).
fof(f1947,plain,
( ~ sQ93_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f1946]) ).
fof(f1957,plain,
( ~ sQ113_spl
| ~ sQ112_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f821,f824]) ).
fof(f1958,plain,
( ~ sQ113_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1957,f218]) ).
fof(f1959,plain,
( ~ sQ113_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f1958]) ).
fof(f1966,plain,
( sQ213_spl
| ~ sQ227_spl
| h4(op1(e11,e12)) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1223,f1181]) ).
fof(f1973,plain,
( ~ sQ75_spl
| op2(e20,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f700,f191]) ).
fof(f1977,plain,
( ~ sQ99_spl
| op2(e21,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f778,f167]) ).
fof(f1978,plain,
( ~ sQ107_spl
| ~ sQ106_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f801,f804]) ).
fof(f1979,plain,
( ~ sQ107_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1978,f223]) ).
fof(f1980,plain,
( ~ sQ107_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f1979]) ).
fof(f1984,plain,
( ~ sQ75_spl
| ~ sQ74_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f697,f700]) ).
fof(f1985,plain,
( ~ sQ75_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1984,f223]) ).
fof(f1986,plain,
( ~ sQ75_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1985]) ).
fof(f1996,plain,
( sQ220_spl
| ~ sQ227_spl
| h4(op1(e13,e11)) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f1223,f1202]) ).
fof(f1997,plain,
( ~ sQ105_spl
| ~ sQ104_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f795,f798]) ).
fof(f1998,plain,
( ~ sQ105_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1997,f218]) ).
fof(f1999,plain,
( ~ sQ105_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f1998]) ).
fof(f2000,plain,
( ~ sQ89_spl
| ~ sQ88_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f743,f746]) ).
fof(f2001,plain,
( ~ sQ89_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2000,f218]) ).
fof(f2002,plain,
( ~ sQ89_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f2001]) ).
fof(f2006,plain,
( ~ sQ101_spl
| ~ sQ100_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f782,f785]) ).
fof(f2007,plain,
( ~ sQ101_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2006,f218]) ).
fof(f2008,plain,
( ~ sQ101_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f2007]) ).
fof(f2019,plain,
( ~ sQ87_spl
| ~ sQ86_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f736,f739]) ).
fof(f2020,plain,
( ~ sQ87_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2019,f223]) ).
fof(f2021,plain,
( ~ sQ87_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f2020]) ).
fof(f2025,plain,
( ~ sQ83_spl
| e23 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f726,f195]) ).
fof(f2026,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f723,f726]) ).
fof(f2027,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2026,f223]) ).
fof(f2028,plain,
( ~ sQ83_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2027]) ).
fof(f2033,plain,
( sQ212_spl
| h4(e12) != op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f253,f1178]) ).
fof(f2034,plain,
( sQ212_spl
| ~ sQ227_spl
| h4(e12) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1223,f2033]) ).
fof(f2035,plain,
( sQ212_spl
| ~ sQ227_spl
| h4(e12) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1223,f2034]) ).
fof(f2045,plain,
( sQ143_spl
| h1(e12) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f258,f1853]) ).
fof(f2046,plain,
( sQ143_spl
| h1(e12) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f258,f2045]) ).
fof(f2047,plain,
( sQ147_spl
| h1(op1(e12,e11)) != op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f258,f971]) ).
fof(f2049,plain,
( sQ139_spl
| h1(op1(e10,e11)) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f258,f947]) ).
fof(f2051,plain,
( ~ sQ66_spl
| ~ sQ65_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f668,f671]) ).
fof(f2052,plain,
( ~ sQ66_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2051,f221]) ).
fof(f2053,plain,
( ~ sQ66_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2052]) ).
fof(f2055,plain,
( ~ sQ63_spl
| op1(e13,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f629,f162]) ).
fof(f2057,plain,
( ~ sQ63_spl
| op1(e12,e13) != e13 ),
inference(backward_demodulation,[status(thm)],[f629,f139]) ).
fof(f2065,plain,
( ~ sQ47_spl
| op1(e12,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f577,f157]) ).
fof(f2074,plain,
( ~ sQ15_spl
| op1(e10,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f473,f145]) ).
fof(f2075,plain,
( ~ sQ15_spl
| op1(e10,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f473,f144]) ).
fof(f2077,plain,
( ~ sQ59_spl
| op1(e13,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f616,f161]) ).
fof(f2079,plain,
( ~ sQ59_spl
| op1(e12,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f616,f133]) ).
fof(f2081,plain,
( ~ sQ59_spl
| op1(e10,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f616,f130]) ).
fof(f2082,plain,
( sQ220_spl
| ~ sQ227_spl
| ~ sQ55_spl
| h4(e13) != op2(h4(e13),e23) ),
inference(backward_demodulation,[status(thm)],[f603,f1996]) ).
fof(f2087,plain,
( ~ sQ51_spl
| op1(e11,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f590,f120]) ).
fof(f2089,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f626,f629]) ).
fof(f2090,plain,
( ~ sQ63_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2089,f217]) ).
fof(f2091,plain,
( ~ sQ63_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f2090]) ).
fof(f2092,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f574,f577]) ).
fof(f2093,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2092,f217]) ).
fof(f2094,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2093]) ).
fof(f2097,plain,
( sQ211_spl
| ~ sQ227_spl
| h4(op1(e11,e10)) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1223,f1175]) ).
fof(f2101,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f470,f473]) ).
fof(f2102,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2101,f217]) ).
fof(f2103,plain,
( ~ sQ15_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f2102]) ).
fof(f2104,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f613,f616]) ).
fof(f2105,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2104,f217]) ).
fof(f2106,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f2105]) ).
fof(f2113,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f620,f623]) ).
fof(f2114,plain,
( ~ sQ61_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2113,f212]) ).
fof(f2115,plain,
( ~ sQ61_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f2114]) ).
fof(f2125,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f607,f610]) ).
fof(f2126,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2125,f212]) ).
fof(f2127,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2126]) ).
fof(f2128,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f594,f597]) ).
fof(f2129,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2128,f212]) ).
fof(f2130,plain,
( ~ sQ53_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2129]) ).
fof(f2134,plain,
( sQ217_spl
| ~ sQ43_spl
| h4(e13) != op2(h4(e12),h4(e12)) ),
inference(backward_demodulation,[status(thm)],[f564,f1193]) ).
fof(f2135,plain,
( sQ171_spl
| ~ sQ43_spl
| h2(e13) != op2(h2(e12),h2(e12)) ),
inference(backward_demodulation,[status(thm)],[f564,f1047]) ).
fof(f2139,plain,
( ~ sQ43_spl
| op1(e10,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f564,f129]) ).
fof(f2143,plain,
( ~ sQ27_spl
| op1(e11,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f512,f147]) ).
fof(f2158,plain,
( ~ sQ35_spl
| op1(e11,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f538,f119]) ).
fof(f2161,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f561,f564]) ).
fof(f2162,plain,
( ~ sQ43_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2161,f217]) ).
fof(f2163,plain,
( ~ sQ43_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2162]) ).
fof(f2167,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f457,f460]) ).
fof(f2168,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2167,f217]) ).
fof(f2169,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2168]) ).
fof(f2181,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f503,f506]) ).
fof(f2182,plain,
( ~ sQ25_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2181,f212]) ).
fof(f2183,plain,
( ~ sQ25_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f2182]) ).
fof(f2184,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f451,f454]) ).
fof(f2185,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2184,f212]) ).
fof(f2186,plain,
( ~ sQ9_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f2185]) ).
fof(f2187,plain,
( ~ sQ37_spl
| ~ sQ36_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f542,f545]) ).
fof(f2188,plain,
( ~ sQ37_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2187,f212]) ).
fof(f2189,plain,
( ~ sQ37_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2188]) ).
fof(f2193,plain,
( ~ sQ23_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f253,f499]) ).
fof(f2194,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2193,f217]) ).
fof(f2195,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f2194]) ).
fof(f2200,plain,
( sQ211_spl
| ~ sQ227_spl
| ~ sQ19_spl
| h4(e13) != op2(e23,h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f486,f2097]) ).
fof(f2201,plain,
( sQ165_spl
| ~ sQ19_spl
| h2(e13) != op2(e21,h2(e10)) ),
inference(backward_demodulation,[status(thm)],[f486,f1808]) ).
fof(f2202,plain,
( ~ sQ19_spl
| op1(e10,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f486,f116]) ).
fof(f2204,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f444,f447]) ).
fof(f2205,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2204,f217]) ).
fof(f2206,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2205]) ).
fof(f2210,plain,
( ~ sQ21_spl
| e12 = e11 ),
inference(backward_demodulation,[status(thm)],[f493,f253]) ).
fof(f2211,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2210,f215]) ).
fof(f2212,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f2211]) ).
fof(f2228,plain,
( sQ193_spl
| h3(e10) != op2(h3(e12),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1675,f1117]) ).
fof(f2242,plain,
( sQ196_spl
| ~ sQ264_spl
| h3(op1(e13,e10)) != op2(h3(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f1379,f1126]) ).
fof(f2250,plain,
( sQ197_spl
| h3(op1(e13,e11)) != op2(h3(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f266,f1129]) ).
fof(f2261,plain,
( ~ sQ297_spl
| ~ sQ119_spl
| op2(op2(e23,e21),e23) = e23 ),
inference(backward_demodulation,[status(thm)],[f843,f1517]) ).
fof(f2263,plain,
( ~ sQ297_spl
| ~ sQ119_spl
| op2(e23,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f843,f2261]) ).
fof(f2264,plain,
( ~ sQ296_spl
| op2(e20,op2(e22,e21)) = e22 ),
inference(forward_demodulation,[status(thm)],[f1688,f1513]) ).
fof(f2265,plain,
( ~ sQ296_spl
| op2(e20,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f1688,f2264]) ).
fof(f2266,plain,
( ~ sQ296_spl
| ~ sQ64_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f665,f2265]) ).
fof(f2267,plain,
( ~ sQ296_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2266,f219]) ).
fof(f2268,plain,
( ~ sQ296_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f2267]) ).
fof(f2272,plain,
( sQ166_spl
| h2(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f256,f1806]) ).
fof(f2277,plain,
( ~ sQ103_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1688,f791]) ).
fof(f2278,plain,
( ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2277,f220]) ).
fof(f2279,plain,
~ sQ103_spl,
inference(contradiction_clause,[status(thm)],[f2278]) ).
fof(f2280,plain,
( sQ296_spl
| op2(e20,op2(e22,e21)) != e22 ),
inference(forward_demodulation,[status(thm)],[f1688,f1514]) ).
fof(f2281,plain,
( sQ296_spl
| op2(e20,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f1688,f2280]) ).
fof(f2283,plain,
( ~ sQ272_spl
| ~ sQ264_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1379,f1413]) ).
fof(f2284,plain,
( ~ sQ272_spl
| ~ sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2283,f219]) ).
fof(f2285,plain,
( ~ sQ272_spl
| ~ sQ264_spl ),
inference(contradiction_clause,[status(thm)],[f2284]) ).
fof(f2286,plain,
( ~ sQ102_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1688,f788]) ).
fof(f2287,plain,
( ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2286,f219]) ).
fof(f2288,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f2287]) ).
fof(f2293,plain,
( sQ193_spl
| h3(e10) != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f266,f2228]) ).
fof(f2294,plain,
( ~ sQ266_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f1756,f794,f1386]) ).
fof(f2296,plain,
( ~ sQ266_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f1753,f846,f1386]) ).
fof(f2300,plain,
( ~ sQ295_spl
| op2(e22,op2(e21,e21)) = e21 ),
inference(forward_demodulation,[status(thm)],[f256,f1509]) ).
fof(f2301,plain,
( ~ sQ295_spl
| op2(e22,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f256,f2300]) ).
fof(f2302,plain,
h2(e12) = e22,
inference(forward_demodulation,[status(thm)],[f256,f264]) ).
fof(f2303,plain,
( sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2302,f1371]) ).
fof(f2304,plain,
sQ262_spl,
inference(contradiction_clause,[status(thm)],[f2303]) ).
fof(f2305,plain,
( sQ166_spl
| ~ sQ262_spl ),
inference(split_clause,[status(thm)],[f2272,f1369,f1030]) ).
fof(f2306,plain,
( ~ sQ166_spl
| ~ sQ20_spl
| h2(e10) = op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f490,f1031]) ).
fof(f2307,plain,
( ~ sQ166_spl
| ~ sQ20_spl
| h2(e10) = op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f262,f2306]) ).
fof(f2308,plain,
( ~ sQ166_spl
| ~ sQ20_spl
| h2(e10) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f262,f2307]) ).
fof(f2309,plain,
( ~ sQ166_spl
| ~ sQ20_spl
| h2(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f256,f2308]) ).
fof(f2310,plain,
( ~ sQ166_spl
| ~ sQ20_spl
| sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2309,f1363]) ).
fof(f2311,plain,
( ~ sQ166_spl
| ~ sQ20_spl
| sQ260_spl ),
inference(contradiction_clause,[status(thm)],[f2310]) ).
fof(f2315,plain,
( ~ sQ189_spl
| h3(op1(e11,e11)) = op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f266,f1104]) ).
fof(f2316,plain,
( ~ sQ189_spl
| h3(op1(e11,e11)) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f266,f2315]) ).
fof(f2319,plain,
( ~ sQ291_spl
| op1(e10,op1(e12,e11)) = e12 ),
inference(forward_demodulation,[status(thm)],[f1675,f1492]) ).
fof(f2320,plain,
( ~ sQ291_spl
| op1(e10,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f1675,f2319]) ).
fof(f2324,plain,
( ~ sQ295_spl
| op2(e22,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f2301,f201]) ).
fof(f2325,plain,
( ~ sQ298_spl
| ~ sQ291_spl
| op1(e12,op1(e10,e10)) = e10 ),
inference(forward_demodulation,[status(thm)],[f2320,f1523]) ).
fof(f2326,plain,
( ~ sQ298_spl
| ~ sQ291_spl
| op1(e12,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f2320,f2325]) ).
fof(f2328,plain,
( ~ sQ295_spl
| op2(e21,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f2301,f179]) ).
fof(f2340,plain,
( ~ sQ295_spl
| op2(e20,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f2301,f177]) ).
fof(f2341,plain,
( ~ sQ274_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1421,f268]) ).
fof(f2345,plain,
( sQ295_spl
| op2(e22,op2(e21,e21)) != e21 ),
inference(forward_demodulation,[status(thm)],[f256,f1510]) ).
fof(f2346,plain,
( sQ295_spl
| op2(e22,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f256,f2345]) ).
fof(f2347,plain,
( sQ273_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f266,f1418]) ).
fof(f2348,plain,
( sQ273_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2347]) ).
fof(f2349,plain,
sQ273_spl,
inference(contradiction_clause,[status(thm)],[f2348]) ).
fof(f2350,plain,
( ~ sQ119_spl
| e23 != h4(e12) ),
inference(forward_demodulation,[status(thm)],[f843,f1770]) ).
fof(f2356,plain,
( sQ188_spl
| h3(op1(e11,e10)) != h3(e13) ),
inference(backward_demodulation,[status(thm)],[f2357,f1832]) ).
fof(f2357,plain,
h3(e13) = op2(e22,h3(e10)),
inference(forward_demodulation,[status(thm)],[f267,f269]) ).
fof(f2359,plain,
( ~ sQ303_spl
| op2(op2(e21,e20),e23) = e21 ),
inference(backward_demodulation,[status(thm)],[f2361,f1544]) ).
fof(f2361,plain,
e23 = op2(e21,e20),
inference(forward_demodulation,[status(thm)],[f1688,f1695]) ).
fof(f2362,plain,
( ~ sQ303_spl
| op2(e23,e23) = e21 ),
inference(forward_demodulation,[status(thm)],[f2361,f2359]) ).
fof(f2363,plain,
e20 != op2(e22,e23),
inference(forward_demodulation,[status(thm)],[f1688,f204]) ).
fof(f2364,plain,
( ~ sQ127_spl
| ~ sQ125_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f863,f869]) ).
fof(f2365,plain,
( ~ sQ127_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2364,f222]) ).
fof(f2366,plain,
( ~ sQ127_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f2365]) ).
fof(f2367,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f1694]) ).
fof(f2368,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f2367]) ).
fof(f2373,plain,
e23 != op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f2361,f168]) ).
fof(f2375,plain,
( ~ sQ83_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f2025,f751,f725]) ).
fof(f2376,plain,
( ~ sQ111_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f1880,f712,f816]) ).
fof(f2379,plain,
( ~ sQ99_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f1977,f725,f777]) ).
fof(f2382,plain,
( ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f1690]) ).
fof(f2383,plain,
~ sQ90_spl,
inference(contradiction_clause,[status(thm)],[f2382]) ).
fof(f2384,plain,
( ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2361,f1884]) ).
fof(f2385,plain,
( ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2384]) ).
fof(f2386,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f2385]) ).
fof(f2389,plain,
( ~ sQ119_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f1903,f686,f842]) ).
fof(f2390,plain,
( ~ sQ79_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f1887,f686,f712]) ).
fof(f2394,plain,
( ~ sQ294_spl
| ~ sQ69_spl
| op2(op2(e20,e21),e21) = e20 ),
inference(backward_demodulation,[status(thm)],[f681,f1505]) ).
fof(f2396,plain,
( ~ sQ294_spl
| ~ sQ69_spl
| op2(e21,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f681,f2394]) ).
fof(f2398,plain,
e20 != op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f1688,f175]) ).
fof(f2401,plain,
h2(e10) = op2(e22,e21),
inference(forward_demodulation,[status(thm)],[f256,f263]) ).
fof(f2402,plain,
h2(e10) = e20,
inference(forward_demodulation,[status(thm)],[f1688,f2401]) ).
fof(f2403,plain,
( sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2402,f1329]) ).
fof(f2404,plain,
sQ252_spl,
inference(contradiction_clause,[status(thm)],[f2403]) ).
fof(f2405,plain,
( ~ sQ252_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f1736,f768,f1327]) ).
fof(f2409,plain,
( ~ sQ239_spl
| ~ sQ120_spl
| op2(e20,op2(e23,e22)) = e23 ),
inference(forward_demodulation,[status(thm)],[f847,f1271]) ).
fof(f2410,plain,
( ~ sQ239_spl
| ~ sQ120_spl
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f847,f2409]) ).
fof(f2425,plain,
( ~ sQ259_spl
| e21 = op2(e21,op2(op2(e21,e21),e21)) ),
inference(forward_demodulation,[status(thm)],[f1357,f265]) ).
fof(f2426,plain,
( ~ sQ259_spl
| e21 = op2(e21,op2(e22,e21)) ),
inference(forward_demodulation,[status(thm)],[f256,f2425]) ).
fof(f2427,plain,
( ~ sQ259_spl
| e23 = e21 ),
inference(backward_demodulation,[status(thm)],[f2428,f2361]) ).
fof(f2428,plain,
( ~ sQ259_spl
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1688,f2426]) ).
fof(f2429,plain,
( ~ sQ259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2427,f222]) ).
fof(f2430,plain,
~ sQ259_spl,
inference(contradiction_clause,[status(thm)],[f2429]) ).
fof(f2431,plain,
h2(e13) = op2(e21,op2(e22,e21)),
inference(forward_demodulation,[status(thm)],[f256,f265]) ).
fof(f2432,plain,
h2(e13) = op2(e21,e20),
inference(forward_demodulation,[status(thm)],[f1688,f2431]) ).
fof(f2435,plain,
( sQ165_spl
| ~ sQ19_spl
| h2(e13) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2402,f2201]) ).
fof(f2440,plain,
( sQ171_spl
| ~ sQ43_spl
| h2(e13) != op2(e22,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2302,f2135]) ).
fof(f2441,plain,
( sQ171_spl
| ~ sQ43_spl
| h2(e13) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2302,f2440]) ).
fof(f2442,plain,
( sQ164_spl
| h2(op1(e10,e13)) != op2(e20,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2402,f1026]) ).
fof(f2443,plain,
( sQ172_spl
| h2(op1(e12,e13)) != op2(e22,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2302,f1050]) ).
fof(f2444,plain,
( sQ173_spl
| h2(op1(e13,e10)) != op2(h2(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f2402,f1053]) ).
fof(f2446,plain,
( ~ sQ294_spl
| ~ sQ69_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f2396,f729,f680,f1504]) ).
fof(f2447,plain,
( sQ257_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f262,f1350]) ).
fof(f2448,plain,
( sQ257_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2447]) ).
fof(f2449,plain,
sQ257_spl,
inference(contradiction_clause,[status(thm)],[f2448]) ).
fof(f2450,plain,
h4(e13) = op2(e23,op2(h4(e12),e23)),
inference(forward_demodulation,[status(thm)],[f272,f273]) ).
fof(f2451,plain,
h4(e13) = op2(e23,h4(e10)),
inference(forward_demodulation,[status(thm)],[f1768,f2450]) ).
fof(f2452,plain,
( sQ211_spl
| ~ sQ227_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2451,f2200]) ).
fof(f2453,plain,
( sQ211_spl
| ~ sQ227_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2452]) ).
fof(f2455,plain,
( sQ216_spl
| ~ sQ227_spl
| h4(e10) != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f1675,f1938]) ).
fof(f2456,plain,
( sQ216_spl
| ~ sQ227_spl
| h4(e10) != h4(e10) ),
inference(forward_demodulation,[status(thm)],[f1768,f2455]) ).
fof(f2457,plain,
( sQ216_spl
| ~ sQ227_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2456]) ).
fof(f2458,plain,
( sQ216_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f2457]) ).
fof(f2474,plain,
( ~ sQ120_spl
| op2(e21,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f847,f180]) ).
fof(f2475,plain,
( ~ sQ120_spl
| op2(e20,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f847,f178]) ).
fof(f2481,plain,
( ~ sQ302_spl
| ~ sQ67_spl
| op2(op2(e20,e20),e23) = e20 ),
inference(backward_demodulation,[status(thm)],[f674,f1540]) ).
fof(f2482,plain,
( ~ sQ302_spl
| ~ sQ67_spl
| op2(e23,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f674,f2481]) ).
fof(f2487,plain,
( ~ sQ72_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f691,f2475]) ).
fof(f2488,plain,
( ~ sQ72_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f2487]) ).
fof(f2491,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f834,f2398]) ).
fof(f2492,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f2491]) ).
fof(f2493,plain,
( ~ sQ120_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2474,f742,f846]) ).
fof(f2494,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f808,f2363]) ).
fof(f2495,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f2494]) ).
fof(f2496,plain,
( sQ147_spl
| h1(e10) != op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f1675,f2047]) ).
fof(f2513,plain,
( sQ210_spl
| ~ sQ15_spl
| h4(e13) != op2(h4(e10),h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f473,f1172]) ).
fof(f2517,plain,
( sQ218_spl
| ~ sQ46_spl
| h4(e12) != op2(h4(e12),h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f574,f1196]) ).
fof(f2519,plain,
( ~ sQ131_spl
| ~ sQ46_spl
| op1(op1(e12,e13),e12) = e12 ),
inference(backward_demodulation,[status(thm)],[f574,f916]) ).
fof(f2520,plain,
( ~ sQ131_spl
| ~ sQ46_spl
| op1(e12,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f574,f2519]) ).
fof(f2525,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f1679]) ).
fof(f2526,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f2525]) ).
fof(f2528,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f522,f1676]) ).
fof(f2529,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f2528]) ).
fof(f2530,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2077,f602,f615]) ).
fof(f2531,plain,
( ~ sQ59_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2079,f563,f615]) ).
fof(f2532,plain,
( ~ sQ59_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2081,f459,f615]) ).
fof(f2533,plain,
( sQ291_spl
| op1(e10,op1(e12,e11)) != e12 ),
inference(forward_demodulation,[status(thm)],[f1675,f1493]) ).
fof(f2534,plain,
( sQ291_spl
| op1(e10,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f1675,f2533]) ).
fof(f2538,plain,
( ~ sQ47_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2065,f563,f576]) ).
fof(f2542,plain,
( ~ sQ38_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1675,f548]) ).
fof(f2543,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2542,f213]) ).
fof(f2544,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f2543]) ).
fof(f2545,plain,
e10 != op1(e12,e12),
inference(forward_demodulation,[status(thm)],[f1675,f155]) ).
fof(f2546,plain,
e13 = op1(e11,e10),
inference(forward_demodulation,[status(thm)],[f1675,f1682]) ).
fof(f2547,plain,
op1(e12,e10) != e10,
inference(forward_demodulation,[status(thm)],[f1675,f152]) ).
fof(f2548,plain,
op1(e10,e11) != e10,
inference(forward_demodulation,[status(thm)],[f1675,f123]) ).
fof(f2554,plain,
( sQ36_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1675,f543]) ).
fof(f2555,plain,
( sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2554]) ).
fof(f2556,plain,
sQ36_spl,
inference(contradiction_clause,[status(thm)],[f2555]) ).
fof(f2559,plain,
( ~ sQ39_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1675,f551]) ).
fof(f2560,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2559,f214]) ).
fof(f2561,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f2560]) ).
fof(f2563,plain,
( sQ170_spl
| h2(e10) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f1675,f1795]) ).
fof(f2564,plain,
( sQ170_spl
| e20 != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f2402,f2563]) ).
fof(f2565,plain,
( sQ170_spl
| e20 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2302,f2564]) ).
fof(f2566,plain,
( sQ170_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1688,f2565]) ).
fof(f2567,plain,
( sQ170_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2566]) ).
fof(f2568,plain,
sQ170_spl,
inference(contradiction_clause,[status(thm)],[f2567]) ).
fof(f2574,plain,
( sQ161_spl
| h2(op1(e10,e10)) != op2(e20,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2402,f1017]) ).
fof(f2575,plain,
( sQ161_spl
| h2(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2402,f2574]) ).
fof(f2576,plain,
( sQ161_spl
| h2(op1(e10,e10)) != h1(e12) ),
inference(forward_demodulation,[status(thm)],[f260,f2575]) ).
fof(f2577,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f509,f1677]) ).
fof(f2578,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f2577]) ).
fof(f2579,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2055,f602,f628]) ).
fof(f2580,plain,
( ~ sQ63_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2057,f576,f628]) ).
fof(f2582,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f483,f1678]) ).
fof(f2583,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f2582]) ).
fof(f2585,plain,
( ~ sQ51_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2087,f485,f589]) ).
fof(f2587,plain,
( ~ sQ131_spl
| ~ sQ46_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f2520,f560,f573,f915]) ).
fof(f2588,plain,
( ~ sQ19_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2202,f433,f485]) ).
fof(f2589,plain,
e10 != op1(e12,e13),
inference(forward_demodulation,[status(thm)],[f1675,f156]) ).
fof(f2590,plain,
( sQ212_spl
| ~ sQ227_spl
| h4(e12) != h4(e12) ),
inference(forward_demodulation,[status(thm)],[f272,f2035]) ).
fof(f2591,plain,
( sQ212_spl
| ~ sQ227_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2590]) ).
fof(f2592,plain,
( sQ212_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f2591]) ).
fof(f2597,plain,
( ~ sQ13_spl
| e11 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f467,f135]) ).
fof(f2598,plain,
( sQ139_spl
| ~ sQ7_spl
| h1(e13) != op2(h1(e10),e20) ),
inference(backward_demodulation,[status(thm)],[f447,f2049]) ).
fof(f2600,plain,
( ~ sQ289_spl
| ~ sQ7_spl
| op1(op1(e10,e11),e13) = e10 ),
inference(backward_demodulation,[status(thm)],[f447,f1484]) ).
fof(f2604,plain,
( ~ sQ289_spl
| ~ sQ7_spl
| op1(e13,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f447,f2600]) ).
fof(f2609,plain,
( ~ sQ290_spl
| op1(op1(e11,e11),e12) = e11 ),
inference(backward_demodulation,[status(thm)],[f253,f1488]) ).
fof(f2610,plain,
( ~ sQ290_spl
| op1(e12,e12) = e11 ),
inference(forward_demodulation,[status(thm)],[f253,f2609]) ).
fof(f2612,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| e11 = e13 ),
inference(backward_demodulation,[status(thm)],[f441,f447]) ).
fof(f2613,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2612,f216]) ).
fof(f2614,plain,
( ~ sQ7_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2613]) ).
fof(f2615,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f467,f473]) ).
fof(f2616,plain,
( ~ sQ15_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2615,f216]) ).
fof(f2617,plain,
( ~ sQ15_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2616]) ).
fof(f2620,plain,
( sQ162_spl
| h2(op1(e10,e11)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2402,f1809]) ).
fof(f2622,plain,
( ~ sQ27_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2143,f485,f511]) ).
fof(f2623,plain,
( ~ sQ13_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2597,f570,f466]) ).
fof(f2624,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f568,f2589]) ).
fof(f2625,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f2624]) ).
fof(f2626,plain,
( sQ296_spl
| h1(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f260,f2281]) ).
fof(f2628,plain,
( sQ169_spl
| h2(op1(e12,e10)) != op2(e22,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2302,f1041]) ).
fof(f2629,plain,
( sQ169_spl
| h2(op1(e12,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2402,f2628]) ).
fof(f2630,plain,
( ~ sQ303_spl
| h4(e12) = e21 ),
inference(backward_demodulation,[status(thm)],[f2362,f272]) ).
fof(f2631,plain,
( ~ sQ303_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2630,f1454,f1543]) ).
fof(f2632,plain,
( sQ163_spl
| h2(op1(e10,e12)) != op2(e20,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2402,f1023]) ).
fof(f2633,plain,
( sQ163_spl
| h2(op1(e10,e12)) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f2302,f2632]) ).
fof(f2635,plain,
( sQ215_spl
| ~ sQ282_spl
| h4(op1(e12,e10)) != op2(e21,h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f1455,f1187]) ).
fof(f2638,plain,
( ~ sQ282_spl
| op2(e20,e23) != e21 ),
inference(backward_demodulation,[status(thm)],[f1455,f1774]) ).
fof(f2639,plain,
( ~ sQ282_spl
| op2(e21,e23) != e21 ),
inference(backward_demodulation,[status(thm)],[f1455,f1773]) ).
fof(f2640,plain,
( ~ sQ282_spl
| op2(e22,e23) != e21 ),
inference(backward_demodulation,[status(thm)],[f1455,f1772]) ).
fof(f2642,plain,
( ~ sQ282_spl
| h4(e10) = op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f1455,f1768]) ).
fof(f2648,plain,
( ~ sQ282_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f2638,f706,f1454]) ).
fof(f2649,plain,
( ~ sQ282_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f2640,f810,f1454]) ).
fof(f2651,plain,
( sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1713,f2496]) ).
fof(f2652,plain,
sQ147_spl,
inference(contradiction_clause,[status(thm)],[f2651]) ).
fof(f2653,plain,
( ~ sQ147_spl
| h1(e10) = op2(h1(e12),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1675,f970]) ).
fof(f2654,plain,
( ~ sQ147_spl
| h1(e10) = op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f258,f2653]) ).
fof(f2666,plain,
( ~ sQ74_spl
| e22 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f697,f193]) ).
fof(f2671,plain,
( ~ sQ74_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f2666,f709,f696]) ).
fof(f2673,plain,
( sQ143_spl
| h1(e12) != h1(e12) ),
inference(forward_demodulation,[status(thm)],[f260,f2046]) ).
fof(f2674,plain,
( sQ143_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2673]) ).
fof(f2675,plain,
sQ143_spl,
inference(contradiction_clause,[status(thm)],[f2674]) ).
fof(f2679,plain,
( ~ sQ302_spl
| op2(h1(e12),op2(e20,e20)) = e20 ),
inference(forward_demodulation,[status(thm)],[f260,f1540]) ).
fof(f2680,plain,
( ~ sQ302_spl
| op2(h1(e12),h1(e12)) = e20 ),
inference(forward_demodulation,[status(thm)],[f260,f2679]) ).
fof(f2683,plain,
( ~ sQ107_spl
| h3(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f804,f268]) ).
fof(f2684,plain,
( ~ sQ107_spl
| sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2683,f1155]) ).
fof(f2685,plain,
( ~ sQ107_spl
| sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f2684]) ).
fof(f2687,plain,
( ~ sQ75_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f1973,f686,f699]) ).
fof(f2688,plain,
( ~ sQ189_spl
| h3(e12) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f253,f2316]) ).
fof(f2689,plain,
( ~ sQ189_spl
| ~ sQ107_spl
| h3(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f804,f2688]) ).
fof(f2696,plain,
( sQ195_spl
| ~ sQ205_spl
| h3(op1(e12,e13)) != op2(e23,h3(e13)) ),
inference(backward_demodulation,[status(thm)],[f1154,f1123]) ).
fof(f2705,plain,
( ~ sQ88_spl
| e20 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f743,f199]) ).
fof(f2710,plain,
( ~ sQ85_spl
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f733,f256]) ).
fof(f2711,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2710,f221]) ).
fof(f2712,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f2711]) ).
fof(f2714,plain,
( ~ sQ98_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f775,f201]) ).
fof(f2716,plain,
( ~ sQ107_spl
| e23 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f804,f205]) ).
fof(f2723,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f762,f1689]) ).
fof(f2724,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f2723]) ).
fof(f2725,plain,
( ~ sQ252_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f1738,f677,f1327]) ).
fof(f2726,plain,
( ~ sQ302_spl
| ~ sQ67_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2482,f859,f673,f1539]) ).
fof(f2728,plain,
( ~ sQ297_spl
| ~ sQ119_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2263,f868,f842,f1516]) ).
fof(f2729,plain,
( ~ sQ123_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f1898,f842,f855]) ).
fof(f2732,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f840,f1692]) ).
fof(f2733,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f2732]) ).
fof(f2734,plain,
( ~ sQ98_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f2714,f800,f774]) ).
fof(f2735,plain,
( ~ sQ88_spl
| e20 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f743,f179]) ).
fof(f2739,plain,
( ~ sQ107_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f2716,f816,f803]) ).
fof(f2741,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f830,f2373]) ).
fof(f2742,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f2741]) ).
fof(f2743,plain,
( ~ sQ88_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f2735,f794,f742]) ).
fof(f2744,plain,
( ~ sQ239_spl
| ~ sQ120_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2410,f673,f846,f1270]) ).
fof(f2746,plain,
( sQ151_spl
| h1(op1(e13,e11)) != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f258,f983]) ).
fof(f2747,plain,
h1(e13) = op2(e20,op2(h1(e12),e20)),
inference(forward_demodulation,[status(thm)],[f260,f261]) ).
fof(f2752,plain,
( ~ sQ98_spl
| ~ sQ97_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f772,f775]) ).
fof(f2753,plain,
( ~ sQ98_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2752,f221]) ).
fof(f2754,plain,
( ~ sQ98_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f2753]) ).
fof(f2760,plain,
( sQ169_spl
| ~ sQ97_spl
| h2(op1(e12,e10)) != e21 ),
inference(forward_demodulation,[status(thm)],[f772,f2629]) ).
fof(f2761,plain,
( ~ sQ97_spl
| e21 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f772,f202]) ).
fof(f2765,plain,
( ~ sQ117_spl
| op2(e20,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f837,f172]) ).
fof(f2766,plain,
( ~ sQ117_spl
| op2(e23,e20) != e21 ),
inference(backward_demodulation,[status(thm)],[f837,f206]) ).
fof(f2767,plain,
( ~ sQ117_spl
| e21 != h4(e12) ),
inference(backward_demodulation,[status(thm)],[f837,f1770]) ).
fof(f2770,plain,
( ~ sQ117_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f2766,f823,f836]) ).
fof(f2772,plain,
h2(e13) = e23,
inference(forward_demodulation,[status(thm)],[f2361,f2432]) ).
fof(f2773,plain,
( sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2772,f1086]) ).
fof(f2774,plain,
sQ183_spl,
inference(contradiction_clause,[status(thm)],[f2773]) ).
fof(f2775,plain,
( sQ174_spl
| ~ sQ183_spl
| h2(op1(e13,e11)) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f1085,f1793]) ).
fof(f2776,plain,
( sQ173_spl
| ~ sQ183_spl
| h2(op1(e13,e10)) != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f1085,f2444]) ).
fof(f2777,plain,
( sQ172_spl
| ~ sQ183_spl
| h2(op1(e12,e13)) != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f1085,f2443]) ).
fof(f2779,plain,
( sQ164_spl
| ~ sQ183_spl
| h2(op1(e10,e13)) != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f1085,f2442]) ).
fof(f2786,plain,
( ~ sQ109_spl
| op2(e21,e23) != e21 ),
inference(backward_demodulation,[status(thm)],[f811,f185]) ).
fof(f2789,plain,
( ~ sQ109_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2786,f758,f810]) ).
fof(f2795,plain,
( sQ188_spl
| h3(e13) != h3(e13) ),
inference(backward_demodulation,[status(thm)],[f2546,f2356]) ).
fof(f2797,plain,
( sQ142_spl
| h1(e13) != op2(e20,h1(e10)) ),
inference(backward_demodulation,[status(thm)],[f2546,f1857]) ).
fof(f2798,plain,
( ~ sQ299_spl
| op1(op1(e11,e10),e13) = e11 ),
inference(backward_demodulation,[status(thm)],[f2546,f1527]) ).
fof(f2800,plain,
( sQ188_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2795]) ).
fof(f2801,plain,
sQ188_spl,
inference(contradiction_clause,[status(thm)],[f2800]) ).
fof(f2802,plain,
( ~ sQ299_spl
| op1(e13,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f2546,f2798]) ).
fof(f2807,plain,
( ~ sQ34_spl
| op1(e10,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f535,f117]) ).
fof(f2808,plain,
( ~ sQ34_spl
| e12 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f535,f153]) ).
fof(f2809,plain,
( ~ sQ34_spl
| e12 != op1(e12,e13) ),
inference(backward_demodulation,[status(thm)],[f535,f154]) ).
fof(f2812,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2808,f560,f534]) ).
fof(f2814,plain,
( ~ sQ189_spl
| ~ sQ107_spl
| h3(e10) = op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f2816,f267]) ).
fof(f2816,plain,
( ~ sQ189_spl
| ~ sQ107_spl
| e23 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2689,f2688]) ).
fof(f2817,plain,
( ~ sQ58_spl
| e12 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f613,f163]) ).
fof(f2820,plain,
( ~ sQ58_spl
| op1(e10,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f613,f130]) ).
fof(f2823,plain,
( ~ sQ58_spl
| op1(e13,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f613,f159]) ).
fof(f2825,plain,
( ~ sQ58_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2817,f625,f612]) ).
fof(f2827,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2820,f456,f612]) ).
fof(f2829,plain,
( ~ sQ58_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2823,f586,f612]) ).
fof(f2830,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f555,f2545]) ).
fof(f2831,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f2830]) ).
fof(f2833,plain,
( ~ sQ53_spl
| e11 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f597,f162]) ).
fof(f2838,plain,
( ~ sQ53_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2833,f622,f596]) ).
fof(f2842,plain,
( ~ sQ53_spl
| op1(e13,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f597,f158]) ).
fof(f2843,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f597,f603]) ).
fof(f2844,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2843,f216]) ).
fof(f2845,plain,
( ~ sQ55_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f2844]) ).
fof(f2846,plain,
e13 != op1(e11,e13),
inference(forward_demodulation,[status(thm)],[f2546,f148]) ).
fof(f2857,plain,
( ~ sQ28_spl
| e10 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f516,f138]) ).
fof(f2859,plain,
( ~ sQ130_spl
| ~ sQ28_spl
| op1(op1(e11,e13),e10) = e11 ),
inference(backward_demodulation,[status(thm)],[f516,f912]) ).
fof(f2861,plain,
( ~ sQ130_spl
| ~ sQ28_spl
| op1(e10,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f516,f2859]) ).
fof(f2866,plain,
( ~ sQ14_spl
| op1(e10,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f470,f145]) ).
fof(f2869,plain,
( ~ sQ14_spl
| e12 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f470,f136]) ).
fof(f2871,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2866,f456,f469]) ).
fof(f2872,plain,
( ~ sQ14_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f2869,f625,f469]) ).
fof(f2877,plain,
( ~ sQ14_spl
| op1(e10,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f470,f142]) ).
fof(f2881,plain,
( sQ19_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f2546,f487]) ).
fof(f2882,plain,
( sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2881]) ).
fof(f2883,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f2882]) ).
fof(f2885,plain,
( sQ165_spl
| ~ sQ19_spl
| ~ sQ183_spl
| e23 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1085,f2435]) ).
fof(f2886,plain,
( sQ165_spl
| ~ sQ19_spl
| ~ sQ183_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2361,f2885]) ).
fof(f2887,plain,
( sQ165_spl
| ~ sQ19_spl
| ~ sQ183_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2886]) ).
fof(f2888,plain,
( sQ165_spl
| ~ sQ19_spl
| ~ sQ183_spl ),
inference(contradiction_clause,[status(thm)],[f2887]) ).
fof(f2890,plain,
( sQ171_spl
| ~ sQ43_spl
| ~ sQ183_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1085,f2441]) ).
fof(f2891,plain,
( sQ171_spl
| ~ sQ43_spl
| ~ sQ183_spl
| ~ sQ189_spl
| ~ sQ107_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2816,f2890]) ).
fof(f2892,plain,
( sQ171_spl
| ~ sQ43_spl
| ~ sQ183_spl
| ~ sQ189_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2891]) ).
fof(f2893,plain,
( sQ171_spl
| ~ sQ43_spl
| ~ sQ183_spl
| ~ sQ189_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f2892]) ).
fof(f2895,plain,
( ~ sQ2_spl
| sQ291_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f431,f2534]) ).
fof(f2896,plain,
( ~ sQ2_spl
| sQ291_spl ),
inference(contradiction_clause,[status(thm)],[f2895]) ).
fof(f2905,plain,
( ~ sQ298_spl
| ~ sQ291_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2326,f554,f1491,f1522]) ).
fof(f2911,plain,
( ~ sQ5_spl
| e11 != op1(e10,e12) ),
inference(backward_demodulation,[status(thm)],[f441,f143]) ).
fof(f2912,plain,
( ~ sQ5_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f2911,f453,f440]) ).
fof(f2915,plain,
( ~ sQ76_spl
| h1(e12) != e20 ),
inference(backward_demodulation,[status(thm)],[f704,f1719]) ).
fof(f2917,plain,
( ~ sQ134_spl
| ~ sQ76_spl
| op2(op2(e20,e23),e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f704,f927]) ).
fof(f2918,plain,
( ~ sQ134_spl
| ~ sQ76_spl
| op2(e20,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f704,f2917]) ).
fof(f2923,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f694,f697]) ).
fof(f2924,plain,
( ~ sQ74_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2923,f221]) ).
fof(f2925,plain,
( ~ sQ74_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2924]) ).
fof(f2926,plain,
( ~ sQ78_spl
| ~ sQ76_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f704,f710]) ).
fof(f2927,plain,
( ~ sQ78_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2926,f219]) ).
fof(f2928,plain,
( ~ sQ78_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f2927]) ).
fof(f2929,plain,
( sQ139_spl
| ~ sQ5_spl
| h1(e11) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f441,f2049]) ).
fof(f2930,plain,
( sQ139_spl
| ~ sQ5_spl
| e20 != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f258,f2929]) ).
fof(f2936,plain,
( sQ185_spl
| ~ sQ5_spl
| h3(e11) != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f441,f1831]) ).
fof(f2937,plain,
( sQ185_spl
| ~ sQ5_spl
| e22 != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f266,f2936]) ).
fof(f2938,plain,
( ~ sQ84_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f730,f256]) ).
fof(f2939,plain,
( ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2938,f219]) ).
fof(f2940,plain,
~ sQ84_spl,
inference(contradiction_clause,[status(thm)],[f2939]) ).
fof(f2941,plain,
( sQ208_spl
| ~ sQ227_spl
| ~ sQ5_spl
| h4(e11) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f441,f1707]) ).
fof(f2942,plain,
( sQ208_spl
| ~ sQ227_spl
| ~ sQ5_spl
| e23 != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f1223,f2941]) ).
fof(f2943,plain,
( sQ162_spl
| ~ sQ5_spl
| h2(e11) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f441,f2620]) ).
fof(f2944,plain,
( sQ162_spl
| ~ sQ5_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f262,f2943]) ).
fof(f2951,plain,
( ~ sQ5_spl
| op1(e10,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f441,f140]) ).
fof(f2953,plain,
( ~ sQ137_spl
| op2(op2(e23,e23),h4(e12)) = e23 ),
inference(backward_demodulation,[status(thm)],[f272,f939]) ).
fof(f2954,plain,
( ~ sQ137_spl
| op2(h4(e12),h4(e12)) = e23 ),
inference(forward_demodulation,[status(thm)],[f272,f2953]) ).
fof(f2960,plain,
( ~ sQ122_spl
| op2(e23,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f853,f207]) ).
fof(f2963,plain,
( ~ sQ122_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f2960,f826,f852]) ).
fof(f2993,plain,
( ~ sQ89_spl
| e21 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f746,f179]) ).
fof(f2994,plain,
( ~ sQ89_spl
| e21 != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f268,f2993]) ).
fof(f2995,plain,
( ~ sQ299_spl
| op1(e13,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f2802,f160]) ).
fof(f2999,plain,
( sQ222_spl
| ~ sQ299_spl
| h4(e11) != op2(h4(e13),h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f2802,f1208]) ).
fof(f3000,plain,
( ~ sQ299_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2995,f583,f1526]) ).
fof(f3006,plain,
( sQ222_spl
| ~ sQ299_spl
| ~ sQ227_spl
| e23 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1223,f2999]) ).
fof(f3011,plain,
( ~ sQ89_spl
| e21 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f746,f199]) ).
fof(f3021,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f2547]) ).
fof(f3022,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f3021]) ).
fof(f3025,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f441,f444]) ).
fof(f3026,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3025,f215]) ).
fof(f3027,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3026]) ).
fof(f3028,plain,
( sQ299_spl
| op1(e13,op1(e11,e10)) != e11 ),
inference(forward_demodulation,[status(thm)],[f2546,f1528]) ).
fof(f3029,plain,
( sQ299_spl
| op1(e13,e13) != e11 ),
inference(forward_demodulation,[status(thm)],[f2546,f3028]) ).
fof(f3032,plain,
( sQ295_spl
| h3(e12) != e21 ),
inference(forward_demodulation,[status(thm)],[f268,f2346]) ).
fof(f3033,plain,
( ~ sQ34_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2807,f430,f534]) ).
fof(f3034,plain,
( ~ sQ109_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f811,f2761]) ).
fof(f3035,plain,
( ~ sQ109_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3034]) ).
fof(f3038,plain,
( ~ sQ289_spl
| ~ sQ5_spl
| op1(e11,op1(e10,e11)) = e10 ),
inference(forward_demodulation,[status(thm)],[f441,f1484]) ).
fof(f3039,plain,
( ~ sQ289_spl
| ~ sQ5_spl
| op1(e11,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f441,f3038]) ).
fof(f3040,plain,
( ~ sQ147_spl
| h1(e13) = op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f2654,f2747]) ).
fof(f3042,plain,
( sQ142_spl
| ~ sQ147_spl
| h1(e13) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f3040,f2797]) ).
fof(f3043,plain,
( sQ142_spl
| ~ sQ147_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3042]) ).
fof(f3044,plain,
( sQ142_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f3043]) ).
fof(f3052,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f594,f603]) ).
fof(f3053,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3052,f214]) ).
fof(f3054,plain,
( ~ sQ55_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3053]) ).
fof(f3055,plain,
( ~ sQ41_spl
| op1(e12,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f558,f153]) ).
fof(f3056,plain,
( ~ sQ130_spl
| ~ sQ28_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2861,f2951]) ).
fof(f3057,plain,
( ~ sQ130_spl
| ~ sQ28_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3056]) ).
fof(f3062,plain,
( ~ sQ45_spl
| op1(e12,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f571,f154]) ).
fof(f3066,plain,
( ~ sQ45_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f3062,f531,f570]) ).
fof(f3070,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2809,f573,f534]) ).
fof(f3071,plain,
( ~ sQ299_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f2802,f622,f1526]) ).
fof(f3072,plain,
( ~ sQ33_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f532,f3055]) ).
fof(f3073,plain,
( ~ sQ33_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f3072]) ).
fof(f3078,plain,
( ~ sQ14_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2877,f430,f469]) ).
fof(f3079,plain,
( ~ sQ289_spl
| ~ sQ5_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f3039,f489,f440,f1483]) ).
fof(f3091,plain,
( ~ sQ237_spl
| ~ sQ89_spl
| op2(e21,op2(e21,e22)) = e21 ),
inference(forward_demodulation,[status(thm)],[f746,f1263]) ).
fof(f3092,plain,
( ~ sQ237_spl
| ~ sQ89_spl
| op2(e21,e21) = e21 ),
inference(forward_demodulation,[status(thm)],[f746,f3091]) ).
fof(f3093,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2074,f459,f472]) ).
fof(f3098,plain,
( ~ sQ35_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2158,f485,f537]) ).
fof(f3102,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f2951]) ).
fof(f3103,plain,
( ~ sQ1_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3102]) ).
fof(f3128,plain,
( ~ sQ24_spl
| op1(e10,e12) != e10 ),
inference(backward_demodulation,[status(thm)],[f503,f128]) ).
fof(f3131,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3128,f450,f502]) ).
fof(f3144,plain,
( ~ sQ135_spl
| ~ sQ92_spl
| op2(op2(e21,e23),e20) = e21 ),
inference(backward_demodulation,[status(thm)],[f756,f931]) ).
fof(f3146,plain,
( ~ sQ135_spl
| ~ sQ92_spl
| op2(e20,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f756,f3144]) ).
fof(f3152,plain,
( ~ sQ119_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f2350,f1226,f842]) ).
fof(f3156,plain,
( sQ162_spl
| ~ sQ5_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f2944,f680,f440,f1018]) ).
fof(f3160,plain,
( ~ sQ88_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f2705,f755,f742]) ).
fof(f3183,plain,
( ~ sQ134_spl
| ~ sQ77_spl
| op2(e21,op2(e20,e23)) = e20 ),
inference(forward_demodulation,[status(thm)],[f707,f927]) ).
fof(f3184,plain,
( ~ sQ134_spl
| ~ sQ77_spl
| e22 = e20 ),
inference(backward_demodulation,[status(thm)],[f3185,f256]) ).
fof(f3185,plain,
( ~ sQ134_spl
| ~ sQ77_spl
| op2(e21,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f707,f3183]) ).
fof(f3186,plain,
( ~ sQ134_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3184,f219]) ).
fof(f3187,plain,
( ~ sQ134_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f3186]) ).
fof(f3188,plain,
( ~ sQ134_spl
| ~ sQ76_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f2918,f664,f703,f926]) ).
fof(f3205,plain,
( ~ sQ126_spl
| h4(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f866,f272]) ).
fof(f3206,plain,
( ~ sQ126_spl
| sQ286_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3205,f1473]) ).
fof(f3207,plain,
( ~ sQ126_spl
| sQ286_spl ),
inference(contradiction_clause,[status(thm)],[f3206]) ).
fof(f3212,plain,
( ~ sQ237_spl
| ~ sQ89_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f3092,f732,f745,f1262]) ).
fof(f3213,plain,
( ~ sQ89_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f3011,f758,f745]) ).
fof(f3224,plain,
( ~ sQ60_spl
| op1(e10,e13) != e10 ),
inference(backward_demodulation,[status(thm)],[f620,f136]) ).
fof(f3227,plain,
( ~ sQ60_spl
| op1(e13,e12) != e10 ),
inference(backward_demodulation,[status(thm)],[f620,f163]) ).
fof(f3238,plain,
( sQ151_spl
| ~ sQ55_spl
| h1(e13) != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f603,f2746]) ).
fof(f3243,plain,
( ~ sQ189_spl
| ~ sQ107_spl
| h3(e10) = op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f2816,f267]) ).
fof(f3251,plain,
( ~ sQ29_spl
| e11 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f519,f137]) ).
fof(f3272,plain,
( sQ140_spl
| ~ sQ11_spl
| h1(e13) != op2(h1(e10),h1(e12)) ),
inference(backward_demodulation,[status(thm)],[f460,f950]) ).
fof(f3318,plain,
( ~ sQ131_spl
| ~ sQ47_spl
| op1(op1(e12,e13),e13) = e12 ),
inference(backward_demodulation,[status(thm)],[f577,f916]) ).
fof(f3325,plain,
( ~ sQ131_spl
| ~ sQ47_spl
| op1(e13,e13) = e12 ),
inference(forward_demodulation,[status(thm)],[f577,f3318]) ).
fof(f3326,plain,
( ~ sQ131_spl
| ~ sQ47_spl
| ~ sQ60_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f620,f3325]) ).
fof(f3327,plain,
( ~ sQ131_spl
| ~ sQ47_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3326,f213]) ).
fof(f3328,plain,
( ~ sQ131_spl
| ~ sQ47_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f3327]) ).
fof(f3331,plain,
( ~ sQ131_spl
| ~ sQ47_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f3325,f625,f576,f915]) ).
fof(f3333,plain,
( sQ299_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f3029,f622,f1526]) ).
fof(f3343,plain,
( sQ131_spl
| ~ sQ47_spl
| op1(e13,op1(e12,e13)) != e12 ),
inference(forward_demodulation,[status(thm)],[f577,f917]) ).
fof(f3344,plain,
( sQ131_spl
| ~ sQ47_spl
| op1(e13,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f577,f3343]) ).
fof(f3348,plain,
( ~ sQ60_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3227,f606,f619]) ).
fof(f3349,plain,
( ~ sQ135_spl
| ~ sQ92_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f3146,f667,f755,f930]) ).
fof(f3350,plain,
( ~ sQ231_spl
| ~ sQ11_spl
| op1(e13,op1(e10,e12)) = e10 ),
inference(forward_demodulation,[status(thm)],[f460,f1238]) ).
fof(f3351,plain,
( ~ sQ231_spl
| ~ sQ11_spl
| op1(e13,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f460,f3350]) ).
fof(f3352,plain,
( ~ sQ232_spl
| ~ sQ24_spl
| op1(e10,op1(e11,e12)) = e11 ),
inference(forward_demodulation,[status(thm)],[f503,f1242]) ).
fof(f3353,plain,
( ~ sQ232_spl
| ~ sQ24_spl
| op1(e10,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f503,f3352]) ).
fof(f3354,plain,
( ~ sQ232_spl
| ~ sQ24_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3353,f2951]) ).
fof(f3355,plain,
( ~ sQ232_spl
| ~ sQ24_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3354]) ).
fof(f3363,plain,
( sQ149_spl
| ~ sQ47_spl
| h1(e13) != op2(h1(e12),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f577,f977]) ).
fof(f3364,plain,
( sQ152_spl
| ~ sQ58_spl
| h1(e12) != op2(h1(e13),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f613,f986]) ).
fof(f3367,plain,
( ~ sQ28_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2857,f619,f515]) ).
fof(f3374,plain,
( sQ83_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2361,f727]) ).
fof(f3375,plain,
( sQ83_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3374]) ).
fof(f3376,plain,
sQ83_spl,
inference(contradiction_clause,[status(thm)],[f3375]) ).
fof(f3381,plain,
( sQ163_spl
| ~ sQ74_spl
| h2(op1(e10,e12)) != e22 ),
inference(forward_demodulation,[status(thm)],[f697,f2633]) ).
fof(f3386,plain,
( ~ sQ290_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f2610,f557,f1487]) ).
fof(f3407,plain,
( ~ sQ136_spl
| ~ sQ110_spl
| op2(op2(e22,e23),e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f814,f935]) ).
fof(f3409,plain,
( ~ sQ136_spl
| ~ sQ110_spl
| op2(e22,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f814,f3407]) ).
fof(f3429,plain,
( ~ sQ64_spl
| h1(e12) = e20 ),
inference(backward_demodulation,[status(thm)],[f665,f260]) ).
fof(f3430,plain,
( ~ sQ64_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f3429,f1284,f664]) ).
fof(f3434,plain,
( ~ sQ147_spl
| ~ sQ242_spl
| h1(e10) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f1285,f2654]) ).
fof(f3439,plain,
( ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| h1(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f665,f3434]) ).
fof(f3457,plain,
( ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ120_spl
| h3(e10) = e20 ),
inference(backward_demodulation,[status(thm)],[f847,f2814]) ).
fof(f3458,plain,
( ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ120_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f3457,f1378,f846,f803,f1103]) ).
fof(f3459,plain,
( sQ184_spl
| ~ sQ264_spl
| ~ sQ64_spl
| h3(op1(e10,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f665,f1868]) ).
fof(f3496,plain,
( ~ sQ282_spl
| ~ sQ92_spl
| h4(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f756,f2642]) ).
fof(f3497,plain,
( ~ sQ282_spl
| ~ sQ92_spl
| sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3496,f1431]) ).
fof(f3498,plain,
( ~ sQ282_spl
| ~ sQ92_spl
| sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f3497]) ).
fof(f3504,plain,
( ~ sQ76_spl
| ~ sQ242_spl ),
inference(split_clause,[status(thm)],[f2915,f1284,f703]) ).
fof(f3507,plain,
( ~ sQ305_spl
| ~ sQ114_spl
| op2(e22,op2(e23,e20)) = e23 ),
inference(forward_demodulation,[status(thm)],[f827,f1552]) ).
fof(f3508,plain,
( ~ sQ305_spl
| ~ sQ114_spl
| op2(e22,e22) = e23 ),
inference(forward_demodulation,[status(thm)],[f827,f3507]) ).
fof(f3509,plain,
( ~ sQ242_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1285,f260]) ).
fof(f3522,plain,
( sQ209_spl
| ~ sQ282_spl
| h4(op1(e10,e12)) != op2(h4(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f1455,f1169]) ).
fof(f3525,plain,
( ~ sQ282_spl
| h4(e10) = op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f1455,f1768]) ).
fof(f3527,plain,
( ~ sQ137_spl
| ~ sQ282_spl
| op2(h4(e12),e21) = e23 ),
inference(backward_demodulation,[status(thm)],[f1455,f2954]) ).
fof(f3532,plain,
( ~ sQ282_spl
| ~ sQ92_spl
| h4(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f756,f3525]) ).
fof(f3533,plain,
( ~ sQ137_spl
| ~ sQ282_spl
| op2(e21,e21) = e23 ),
inference(forward_demodulation,[status(thm)],[f1455,f3527]) ).
fof(f3534,plain,
( ~ sQ137_spl
| ~ sQ282_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f256,f3533]) ).
fof(f3535,plain,
( ~ sQ137_spl
| ~ sQ282_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3534,f223]) ).
fof(f3536,plain,
( ~ sQ137_spl
| ~ sQ282_spl ),
inference(contradiction_clause,[status(thm)],[f3535]) ).
fof(f3538,plain,
( ~ sQ264_spl
| h3(e13) = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1379,f2357]) ).
fof(f3545,plain,
( ~ sQ282_spl
| ~ sQ92_spl
| h4(e13) = op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f3496,f2451]) ).
fof(f3551,plain,
( ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| h4(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f827,f3545]) ).
fof(f3552,plain,
( ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| sQ287_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3551,f1477]) ).
fof(f3553,plain,
( ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| sQ287_spl ),
inference(contradiction_clause,[status(thm)],[f3552]) ).
fof(f3564,plain,
( sQ149_spl
| ~ sQ47_spl
| ~ sQ242_spl
| h1(e13) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f1285,f3363]) ).
fof(f3569,plain,
( ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| h1(e13) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3439,f3040]) ).
fof(f3574,plain,
( ~ sQ110_spl
| op2(e22,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f814,f202]) ).
fof(f3576,plain,
( ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| h1(e13) = e20 ),
inference(backward_demodulation,[status(thm)],[f3509,f3569]) ).
fof(f3582,plain,
( sQ149_spl
| ~ sQ47_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl
| h1(e13) != op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f3576,f3564]) ).
fof(f3590,plain,
( sQ149_spl
| ~ sQ47_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3576,f3582]) ).
fof(f3591,plain,
( sQ149_spl
| ~ sQ47_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3509,f3590]) ).
fof(f3592,plain,
( sQ149_spl
| ~ sQ47_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3591]) ).
fof(f3593,plain,
( sQ149_spl
| ~ sQ47_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3592]) ).
fof(f3594,plain,
( sQ139_spl
| ~ sQ5_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3439,f2930]) ).
fof(f3595,plain,
( sQ139_spl
| ~ sQ5_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3509,f3594]) ).
fof(f3596,plain,
( sQ139_spl
| ~ sQ5_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3595]) ).
fof(f3597,plain,
( sQ139_spl
| ~ sQ5_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3596]) ).
fof(f3598,plain,
( sQ208_spl
| ~ sQ227_spl
| ~ sQ5_spl
| ~ sQ276_spl
| e23 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1430,f2942]) ).
fof(f3599,plain,
( sQ208_spl
| ~ sQ227_spl
| ~ sQ5_spl
| ~ sQ276_spl
| ~ sQ79_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f713,f3598]) ).
fof(f3600,plain,
( sQ208_spl
| ~ sQ227_spl
| ~ sQ5_spl
| ~ sQ276_spl
| ~ sQ79_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3599]) ).
fof(f3601,plain,
( sQ208_spl
| ~ sQ227_spl
| ~ sQ5_spl
| ~ sQ276_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f3600]) ).
fof(f3606,plain,
( ~ sQ29_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f3251,f570,f518]) ).
fof(f3609,plain,
( sQ151_spl
| ~ sQ55_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| e20 != op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f3576,f3238]) ).
fof(f3610,plain,
( sQ151_spl
| ~ sQ55_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3576,f3609]) ).
fof(f3611,plain,
( sQ151_spl
| ~ sQ55_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3509,f3610]) ).
fof(f3612,plain,
( sQ151_spl
| ~ sQ55_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3611]) ).
fof(f3613,plain,
( sQ151_spl
| ~ sQ55_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3612]) ).
fof(f3628,plain,
( ~ sQ60_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f3224,f463,f619]) ).
fof(f3636,plain,
( sQ152_spl
| ~ sQ58_spl
| ~ sQ242_spl
| e20 != op2(h1(e13),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f1285,f3364]) ).
fof(f3637,plain,
( sQ152_spl
| ~ sQ58_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3576,f3636]) ).
fof(f3638,plain,
( sQ152_spl
| ~ sQ58_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1285,f3637]) ).
fof(f3639,plain,
( sQ152_spl
| ~ sQ58_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3509,f3638]) ).
fof(f3640,plain,
( sQ152_spl
| ~ sQ58_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3639]) ).
fof(f3641,plain,
( sQ152_spl
| ~ sQ58_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3640]) ).
fof(f3643,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f2846]) ).
fof(f3644,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f3643]) ).
fof(f3653,plain,
( ~ sQ232_spl
| ~ sQ25_spl
| op1(e11,op1(e11,e12)) = e11 ),
inference(forward_demodulation,[status(thm)],[f506,f1242]) ).
fof(f3654,plain,
( ~ sQ232_spl
| ~ sQ25_spl
| op1(e11,e11) = e11 ),
inference(forward_demodulation,[status(thm)],[f506,f3653]) ).
fof(f3667,plain,
( sQ131_spl
| ~ sQ47_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f3344,f625,f576,f915]) ).
fof(f3680,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f451,f460]) ).
fof(f3681,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3680,f214]) ).
fof(f3682,plain,
( ~ sQ11_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f3681]) ).
fof(f3683,plain,
( sQ140_spl
| ~ sQ11_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3576,f3272]) ).
fof(f3684,plain,
( sQ140_spl
| ~ sQ11_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3439,f3683]) ).
fof(f3685,plain,
( sQ140_spl
| ~ sQ11_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1285,f3684]) ).
fof(f3686,plain,
( sQ140_spl
| ~ sQ11_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3509,f3685]) ).
fof(f3687,plain,
( sQ140_spl
| ~ sQ11_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3686]) ).
fof(f3688,plain,
( sQ140_spl
| ~ sQ11_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3687]) ).
fof(f3689,plain,
( ~ sQ231_spl
| ~ sQ11_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3351,f619,f459,f1237]) ).
fof(f3704,plain,
( ~ sQ43_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f2139,f459,f563]) ).
fof(f3710,plain,
( sQ139_spl
| ~ sQ7_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f3576,f2598]) ).
fof(f3711,plain,
( sQ139_spl
| ~ sQ7_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3439,f3710]) ).
fof(f3712,plain,
( sQ139_spl
| ~ sQ7_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3509,f3711]) ).
fof(f3713,plain,
( sQ139_spl
| ~ sQ7_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3712]) ).
fof(f3714,plain,
( sQ139_spl
| ~ sQ7_spl
| ~ sQ147_spl
| ~ sQ242_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3713]) ).
fof(f3725,plain,
( ~ sQ25_spl
| e11 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f506,f151]) ).
fof(f3726,plain,
( sQ213_spl
| ~ sQ227_spl
| ~ sQ25_spl
| h4(e11) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f506,f1966]) ).
fof(f3727,plain,
( sQ213_spl
| ~ sQ227_spl
| ~ sQ25_spl
| e23 != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1223,f3726]) ).
fof(f3744,plain,
( ~ sQ25_spl
| e11 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f506,f131]) ).
fof(f3746,plain,
( ~ sQ25_spl
| e11 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f506,f132]) ).
fof(f3757,plain,
( ~ sQ97_spl
| e21 != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f772,f169]) ).
fof(f3761,plain,
( ~ sQ97_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f3757,f823,f771]) ).
fof(f3763,plain,
( ~ sQ282_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f2639,f758,f1454]) ).
fof(f3768,plain,
( ~ sQ295_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f2324,f771,f1508]) ).
fof(f3769,plain,
( ~ sQ295_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f2340,f693,f1508]) ).
fof(f3772,plain,
( ~ sQ117_spl
| ~ sQ282_spl ),
inference(split_clause,[status(thm)],[f2767,f1454,f836]) ).
fof(f3773,plain,
( sQ304_spl
| ~ sQ97_spl
| op2(e21,op2(e22,e20)) != e22 ),
inference(forward_demodulation,[status(thm)],[f772,f1549]) ).
fof(f3774,plain,
( sQ304_spl
| ~ sQ97_spl
| op2(e21,e21) != e22 ),
inference(forward_demodulation,[status(thm)],[f772,f3773]) ).
fof(f3775,plain,
( sQ304_spl
| ~ sQ97_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f256,f3774]) ).
fof(f3776,plain,
( sQ304_spl
| ~ sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3775]) ).
fof(f3777,plain,
( sQ304_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3776]) ).
fof(f3806,plain,
( ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ136_spl
| ~ sQ110_spl
| e23 = e22 ),
inference(backward_demodulation,[status(thm)],[f3409,f2816]) ).
fof(f3807,plain,
( ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ136_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3806,f223]) ).
fof(f3808,plain,
( ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ136_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f3807]) ).
fof(f3810,plain,
( ~ sQ15_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2075,f446,f472]) ).
fof(f3821,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f2548]) ).
fof(f3822,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f3821]) ).
fof(f3830,plain,
( ~ sQ25_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f3725,f518,f505]) ).
fof(f3831,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3746,f609,f505]) ).
fof(f3832,plain,
( ~ sQ232_spl
| ~ sQ25_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f3654,f492,f505,f1241]) ).
fof(f3850,plain,
( ~ sQ88_spl
| op2(e20,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f743,f176]) ).
fof(f3854,plain,
( ~ sQ33_spl
| e11 != op1(e13,e10) ),
inference(backward_demodulation,[status(thm)],[f532,f121]) ).
fof(f3855,plain,
( sQ169_spl
| ~ sQ97_spl
| ~ sQ33_spl
| h2(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f532,f2760]) ).
fof(f3856,plain,
( ~ sQ33_spl
| op1(e10,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f532,f117]) ).
fof(f3860,plain,
( sQ169_spl
| ~ sQ97_spl
| ~ sQ33_spl
| ~ sQ257_spl ),
inference(split_clause,[status(thm)],[f3855,f1348,f531,f771,f1039]) ).
fof(f3866,plain,
( sQ146_spl
| ~ sQ33_spl
| h1(e11) != op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f532,f968]) ).
fof(f3867,plain,
( sQ146_spl
| ~ sQ33_spl
| e20 != op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f258,f3866]) ).
fof(f3868,plain,
( sQ146_spl
| ~ sQ33_spl
| ~ sQ242_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1285,f3867]) ).
fof(f3869,plain,
( sQ146_spl
| ~ sQ33_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3439,f3868]) ).
fof(f3870,plain,
( sQ146_spl
| ~ sQ33_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3509,f3869]) ).
fof(f3871,plain,
( sQ146_spl
| ~ sQ33_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3870]) ).
fof(f3872,plain,
( sQ146_spl
| ~ sQ33_spl
| ~ sQ242_spl
| ~ sQ147_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3871]) ).
fof(f3884,plain,
( ~ sQ81_spl
| e23 = e21 ),
inference(backward_demodulation,[status(thm)],[f720,f2361]) ).
fof(f3885,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3884,f222]) ).
fof(f3886,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f3885]) ).
fof(f3908,plain,
( ~ sQ124_spl
| h4(e12) = e20 ),
inference(backward_demodulation,[status(thm)],[f860,f272]) ).
fof(f3909,plain,
( ~ sQ124_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f3908,f1437,f859]) ).
fof(f3916,plain,
( ~ sQ65_spl
| ~ sQ242_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f3509,f668]) ).
fof(f3917,plain,
( ~ sQ65_spl
| ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3916,f218]) ).
fof(f3918,plain,
( ~ sQ65_spl
| ~ sQ242_spl ),
inference(contradiction_clause,[status(thm)],[f3917]) ).
fof(f3953,plain,
( sQ173_spl
| ~ sQ183_spl
| ~ sQ114_spl
| h2(op1(e13,e10)) != e22 ),
inference(backward_demodulation,[status(thm)],[f827,f2776]) ).
fof(f3972,plain,
( ~ sQ97_spl
| h1(e12) != e21 ),
inference(forward_demodulation,[status(thm)],[f772,f1723]) ).
fof(f3973,plain,
( ~ sQ88_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f3850,f690,f742]) ).
fof(f3981,plain,
( sQ300_spl
| ~ sQ33_spl
| op1(e11,op1(e12,e10)) != e12 ),
inference(forward_demodulation,[status(thm)],[f532,f1532]) ).
fof(f3982,plain,
( sQ300_spl
| ~ sQ33_spl
| op1(e11,e11) != e12 ),
inference(forward_demodulation,[status(thm)],[f532,f3981]) ).
fof(f3983,plain,
( sQ300_spl
| ~ sQ33_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f253,f3982]) ).
fof(f3984,plain,
( sQ300_spl
| ~ sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3983]) ).
fof(f3985,plain,
( sQ300_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f3984]) ).
fof(f3997,plain,
( ~ sQ121_spl
| op2(e21,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f850,f180]) ).
fof(f4003,plain,
h3(e10) = op2(h3(e12),e22),
inference(backward_demodulation,[status(thm)],[f268,f267]) ).
fof(f4042,plain,
( ~ sQ136_spl
| ~ sQ111_spl
| op2(e23,op2(e22,e23)) = e22 ),
inference(forward_demodulation,[status(thm)],[f817,f935]) ).
fof(f4044,plain,
( ~ sQ136_spl
| ~ sQ111_spl
| op2(e23,e23) = e22 ),
inference(forward_demodulation,[status(thm)],[f817,f4042]) ).
fof(f4066,plain,
( ~ sQ134_spl
| ~ sQ78_spl
| op2(op2(e20,e23),e22) = e20 ),
inference(backward_demodulation,[status(thm)],[f710,f927]) ).
fof(f4069,plain,
( ~ sQ134_spl
| ~ sQ78_spl
| op2(e22,e22) = e20 ),
inference(forward_demodulation,[status(thm)],[f710,f4066]) ).
fof(f4070,plain,
( ~ sQ17_spl
| e13 = e11 ),
inference(backward_demodulation,[status(thm)],[f480,f2546]) ).
fof(f4071,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4070,f216]) ).
fof(f4072,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f4071]) ).
fof(f4075,plain,
( ~ sQ48_spl
| e10 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f581,f159]) ).
fof(f4078,plain,
( ~ sQ48_spl
| op1(e10,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f581,f118]) ).
fof(f4081,plain,
( ~ sQ48_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4075,f606,f580]) ).
fof(f4082,plain,
( ~ sQ48_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f4078,f424,f580]) ).
fof(f4087,plain,
( sQ173_spl
| ~ sQ183_spl
| ~ sQ114_spl
| ~ sQ50_spl
| h2(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f587,f3953]) ).
fof(f4088,plain,
( sQ173_spl
| ~ sQ183_spl
| ~ sQ114_spl
| ~ sQ50_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2302,f4087]) ).
fof(f4089,plain,
( sQ173_spl
| ~ sQ183_spl
| ~ sQ114_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4088]) ).
fof(f4090,plain,
( sQ173_spl
| ~ sQ183_spl
| ~ sQ114_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4089]) ).
fof(f4096,plain,
( ~ sQ80_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f717,f2361]) ).
fof(f4097,plain,
( ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4096,f220]) ).
fof(f4098,plain,
~ sQ80_spl,
inference(contradiction_clause,[status(thm)],[f4097]) ).
fof(f4105,plain,
( ~ sQ65_spl
| h1(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f668,f260]) ).
fof(f4106,plain,
( ~ sQ65_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4105,f3972]) ).
fof(f4107,plain,
( ~ sQ65_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f4106]) ).
fof(f4128,plain,
( ~ sQ117_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f2765,f680,f836]) ).
fof(f4129,plain,
( ~ sQ1_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f3856]) ).
fof(f4130,plain,
( ~ sQ1_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f4129]) ).
fof(f4151,plain,
( ~ sQ286_spl
| e22 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1472,f272]) ).
fof(f4154,plain,
( ~ sQ274_spl
| h3(e10) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1421,f4003]) ).
fof(f4169,plain,
( ~ sQ274_spl
| h3(e10) = e22 ),
inference(backward_demodulation,[status(thm)],[f2341,f4154]) ).
fof(f4170,plain,
( ~ sQ274_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f4169,f1412,f1420]) ).
fof(f4185,plain,
( ~ sQ289_spl
| ~ sQ7_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f2604,f619,f446,f1483]) ).
fof(f4187,plain,
( ~ sQ291_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2320,f430,f1491]) ).
fof(f4241,plain,
( ~ sQ237_spl
| ~ sQ88_spl
| op2(e20,op2(e21,e22)) = e21 ),
inference(forward_demodulation,[status(thm)],[f743,f1263]) ).
fof(f4242,plain,
( ~ sQ237_spl
| ~ sQ88_spl
| op2(e20,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f743,f4241]) ).
fof(f4247,plain,
( ~ sQ237_spl
| ~ sQ88_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f4242,f667,f742,f1262]) ).
fof(f4264,plain,
( ~ sQ121_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f3997,f745,f849]) ).
fof(f4279,plain,
( sQ219_spl
| ~ sQ282_spl
| ~ sQ92_spl
| h4(op1(e13,e10)) != op2(h4(e13),e20) ),
inference(backward_demodulation,[status(thm)],[f3532,f1199]) ).
fof(f4281,plain,
( sQ207_spl
| ~ sQ282_spl
| ~ sQ92_spl
| h4(op1(e10,e10)) != op2(h4(e10),e20) ),
inference(backward_demodulation,[status(thm)],[f3532,f1163]) ).
fof(f4285,plain,
( sQ207_spl
| ~ sQ282_spl
| ~ sQ92_spl
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3532,f4281]) ).
fof(f4322,plain,
( ~ sQ16_spl
| e13 = e10 ),
inference(backward_demodulation,[status(thm)],[f477,f2546]) ).
fof(f4323,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4322,f214]) ).
fof(f4324,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f4323]) ).
fof(f4332,plain,
( ~ sQ66_spl
| h1(e12) = e22 ),
inference(backward_demodulation,[status(thm)],[f671,f260]) ).
fof(f4333,plain,
( ~ sQ66_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f4332,f1318,f670]) ).
fof(f4334,plain,
( sQ296_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f2626,f1318,f1512]) ).
fof(f4403,plain,
( sQ215_spl
| ~ sQ282_spl
| ~ sQ92_spl
| h4(op1(e12,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3532,f2635]) ).
fof(f4404,plain,
( sQ215_spl
| ~ sQ282_spl
| ~ sQ92_spl
| h4(op1(e12,e10)) != e23 ),
inference(forward_demodulation,[status(thm)],[f2361,f4403]) ).
fof(f4405,plain,
( sQ209_spl
| ~ sQ282_spl
| ~ sQ92_spl
| h4(op1(e10,e12)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f3532,f3522]) ).
fof(f4421,plain,
( sQ215_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ33_spl
| h4(e11) != e23 ),
inference(backward_demodulation,[status(thm)],[f532,f4404]) ).
fof(f4429,plain,
( sQ215_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ33_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f4421,f1222,f531,f755,f1454,f1185]) ).
fof(f4456,plain,
( ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ112_spl
| h4(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f821,f3545]) ).
fof(f4476,plain,
( sQ174_spl
| ~ sQ183_spl
| ~ sQ55_spl
| h2(e13) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f603,f2775]) ).
fof(f4482,plain,
( sQ174_spl
| ~ sQ183_spl
| ~ sQ55_spl
| e23 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1085,f4476]) ).
fof(f4520,plain,
( ~ sQ79_spl
| op2(e20,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f713,f193]) ).
fof(f4522,plain,
( sQ197_spl
| ~ sQ55_spl
| h3(e13) != op2(h3(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f603,f2250]) ).
fof(f4553,plain,
( sQ174_spl
| ~ sQ183_spl
| ~ sQ55_spl
| ~ sQ119_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f843,f4482]) ).
fof(f4554,plain,
( sQ174_spl
| ~ sQ183_spl
| ~ sQ55_spl
| ~ sQ119_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4553]) ).
fof(f4555,plain,
( sQ174_spl
| ~ sQ183_spl
| ~ sQ55_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f4554]) ).
fof(f4579,plain,
( ~ sQ28_spl
| op1(e10,e13) != e10 ),
inference(backward_demodulation,[status(thm)],[f516,f134]) ).
fof(f4583,plain,
( sQ213_spl
| ~ sQ227_spl
| ~ sQ25_spl
| ~ sQ282_spl
| e23 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1455,f3727]) ).
fof(f4584,plain,
( sQ213_spl
| ~ sQ227_spl
| ~ sQ25_spl
| ~ sQ282_spl
| ~ sQ119_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f843,f4583]) ).
fof(f4585,plain,
( sQ213_spl
| ~ sQ227_spl
| ~ sQ25_spl
| ~ sQ282_spl
| ~ sQ119_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4584]) ).
fof(f4586,plain,
( sQ213_spl
| ~ sQ227_spl
| ~ sQ25_spl
| ~ sQ282_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f4585]) ).
fof(f4593,plain,
( ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ104_spl
| e23 = e20 ),
inference(backward_demodulation,[status(thm)],[f795,f2816]) ).
fof(f4594,plain,
( ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4593,f220]) ).
fof(f4595,plain,
( ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f4594]) ).
fof(f4611,plain,
( sQ186_spl
| ~ sQ189_spl
| ~ sQ107_spl
| h3(op1(e10,e12)) != op2(h3(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f2689,f1096]) ).
fof(f4615,plain,
( sQ217_spl
| ~ sQ43_spl
| ~ sQ282_spl
| h4(e13) != op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1455,f2134]) ).
fof(f4616,plain,
( sQ217_spl
| ~ sQ43_spl
| ~ sQ282_spl
| h4(e13) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1455,f4615]) ).
fof(f4617,plain,
( sQ217_spl
| ~ sQ43_spl
| ~ sQ282_spl
| h4(e13) != e22 ),
inference(forward_demodulation,[status(thm)],[f256,f4616]) ).
fof(f4618,plain,
( sQ210_spl
| ~ sQ15_spl
| ~ sQ282_spl
| ~ sQ92_spl
| h4(e13) != op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3532,f2513]) ).
fof(f4620,plain,
( ~ sQ264_spl
| ~ sQ97_spl
| h3(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f772,f3538]) ).
fof(f4621,plain,
( ~ sQ264_spl
| ~ sQ97_spl
| sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4620,f1409]) ).
fof(f4622,plain,
( ~ sQ264_spl
| ~ sQ97_spl
| sQ271_spl ),
inference(contradiction_clause,[status(thm)],[f4621]) ).
fof(f4636,plain,
( sQ218_spl
| ~ sQ46_spl
| ~ sQ282_spl
| e21 != op2(h4(e12),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1455,f2517]) ).
fof(f4637,plain,
( sQ218_spl
| ~ sQ46_spl
| ~ sQ282_spl
| e21 != op2(e21,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1455,f4636]) ).
fof(f4640,plain,
( sQ214_spl
| ~ sQ287_spl
| ~ sQ28_spl
| h4(e10) != op2(h4(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f516,f1561]) ).
fof(f4641,plain,
( sQ214_spl
| ~ sQ287_spl
| ~ sQ28_spl
| ~ sQ282_spl
| ~ sQ92_spl
| e20 != op2(h4(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f3532,f4640]) ).
fof(f4642,plain,
( sQ214_spl
| ~ sQ287_spl
| ~ sQ28_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ227_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1223,f4641]) ).
fof(f4643,plain,
( sQ214_spl
| ~ sQ287_spl
| ~ sQ28_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ227_spl
| ~ sQ189_spl
| ~ sQ107_spl
| e20 != h3(e10) ),
inference(forward_demodulation,[status(thm)],[f3243,f4642]) ).
fof(f4651,plain,
( sQ221_spl
| ~ sQ287_spl
| ~ sQ282_spl
| h4(op1(e13,e12)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1455,f1566]) ).
fof(f4652,plain,
( sQ221_spl
| ~ sQ287_spl
| ~ sQ282_spl
| h4(op1(e13,e12)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1688,f4651]) ).
fof(f4700,plain,
( ~ sQ264_spl
| h3(e13) = op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f1379,f2357]) ).
fof(f4704,plain,
( sQ185_spl
| ~ sQ5_spl
| ~ sQ264_spl
| e22 != op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f1379,f2937]) ).
fof(f4713,plain,
( sQ185_spl
| ~ sQ5_spl
| ~ sQ264_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f4704,f696,f1378,f440,f1091]) ).
fof(f4727,plain,
( ~ sQ232_spl
| ~ sQ24_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f3353,f427,f502,f1241]) ).
fof(f4728,plain,
( ~ sQ33_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3854,f583,f531]) ).
fof(f4737,plain,
( ~ sQ53_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2842,f583,f596]) ).
fof(f4742,plain,
( sQ214_spl
| ~ sQ287_spl
| ~ sQ28_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ227_spl
| ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ264_spl ),
inference(split_clause,[status(thm)],[f4643,f1378,f803,f1103,f1222,f755,f1454,f515,f1475,f1182]) ).
fof(f4743,plain,
( ~ sQ130_spl
| ~ sQ28_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f2861,f427,f515,f911]) ).
fof(f4757,plain,
( ~ sQ302_spl
| ~ sQ242_spl
| op2(e20,h1(e12)) = e20 ),
inference(forward_demodulation,[status(thm)],[f1285,f2680]) ).
fof(f4759,plain,
( ~ sQ302_spl
| ~ sQ242_spl
| op2(e20,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f1285,f4757]) ).
fof(f4767,plain,
( sQ219_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| h4(op1(e13,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f3551,f4279]) ).
fof(f4768,plain,
( sQ219_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ97_spl
| h4(op1(e13,e10)) != e21 ),
inference(forward_demodulation,[status(thm)],[f772,f4767]) ).
fof(f4770,plain,
( sQ195_spl
| ~ sQ205_spl
| ~ sQ264_spl
| ~ sQ97_spl
| h3(op1(e12,e13)) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f4620,f2696]) ).
fof(f4774,plain,
( sQ195_spl
| ~ sQ205_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ119_spl
| h3(op1(e12,e13)) != e23 ),
inference(forward_demodulation,[status(thm)],[f843,f4770]) ).
fof(f4778,plain,
( sQ219_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ97_spl
| ~ sQ50_spl
| h4(e12) != e21 ),
inference(backward_demodulation,[status(thm)],[f587,f4768]) ).
fof(f4779,plain,
( ~ sQ50_spl
| op1(e10,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f587,f118]) ).
fof(f4780,plain,
( ~ sQ50_spl
| e12 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f587,f160]) ).
fof(f4783,plain,
( sQ219_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ97_spl
| ~ sQ50_spl
| ~ sQ282_spl ),
inference(split_clause,[status(thm)],[f4778,f1454,f586,f771,f826,f755,f1197]) ).
fof(f4784,plain,
( ~ sQ50_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f4779,f430,f586]) ).
fof(f4785,plain,
( ~ sQ50_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f4780,f625,f586]) ).
fof(f4792,plain,
( ~ sQ28_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f4579,f463,f515]) ).
fof(f4804,plain,
( ~ sQ25_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f3744,f557,f505]) ).
fof(f4815,plain,
( sQ161_spl
| ~ sQ242_spl
| h2(op1(e10,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1285,f2576]) ).
fof(f4841,plain,
( sQ207_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ302_spl
| ~ sQ242_spl
| h4(op1(e10,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f4759,f4285]) ).
fof(f4861,plain,
( sQ186_spl
| ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ264_spl
| h3(op1(e10,e12)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1379,f4611]) ).
fof(f4862,plain,
( sQ186_spl
| ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ264_spl
| ~ sQ79_spl
| h3(op1(e10,e12)) != e23 ),
inference(forward_demodulation,[status(thm)],[f713,f4861]) ).
fof(f4880,plain,
( sQ187_spl
| ~ sQ264_spl
| ~ sQ97_spl
| h3(op1(e10,e13)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f4620,f1864]) ).
fof(f4881,plain,
( sQ196_spl
| ~ sQ264_spl
| ~ sQ97_spl
| h3(op1(e13,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f4620,f2242]) ).
fof(f4882,plain,
( sQ196_spl
| ~ sQ264_spl
| ~ sQ97_spl
| h3(op1(e13,e10)) != e23 ),
inference(forward_demodulation,[status(thm)],[f2361,f4881]) ).
fof(f4887,plain,
( sQ187_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ69_spl
| h3(op1(e10,e13)) != e21 ),
inference(backward_demodulation,[status(thm)],[f681,f4880]) ).
fof(f4940,plain,
( sQ209_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ69_spl
| h4(op1(e10,e12)) != e21 ),
inference(forward_demodulation,[status(thm)],[f681,f4405]) ).
fof(f5055,plain,
( ~ sQ129_spl
| ~ sQ12_spl
| op1(e10,op1(e10,e13)) = e10 ),
inference(forward_demodulation,[status(thm)],[f464,f908]) ).
fof(f5056,plain,
( ~ sQ129_spl
| ~ sQ12_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f464,f5055]) ).
fof(f5057,plain,
( ~ sQ129_spl
| ~ sQ12_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5056,f426]) ).
fof(f5058,plain,
( ~ sQ129_spl
| ~ sQ12_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f5057]) ).
fof(f5061,plain,
( ~ sQ234_spl
| ~ sQ59_spl
| op1(e13,op1(e13,e12)) = e13 ),
inference(forward_demodulation,[status(thm)],[f616,f1250]) ).
fof(f5062,plain,
( ~ sQ234_spl
| ~ sQ59_spl
| op1(e13,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f616,f5061]) ).
fof(f5063,plain,
( ~ sQ234_spl
| ~ sQ59_spl
| ~ sQ62_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f626,f5062]) ).
fof(f5064,plain,
( ~ sQ234_spl
| ~ sQ59_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5063,f217]) ).
fof(f5065,plain,
( ~ sQ234_spl
| ~ sQ59_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f5064]) ).
fof(f5070,plain,
( sQ217_spl
| ~ sQ43_spl
| ~ sQ282_spl
| ~ sQ287_spl ),
inference(split_clause,[status(thm)],[f4617,f1475,f1454,f563,f1191]) ).
fof(f5168,plain,
( ~ sQ129_spl
| ~ sQ14_spl
| op1(op1(e10,e13),e12) = e10 ),
inference(backward_demodulation,[status(thm)],[f470,f908]) ).
fof(f5174,plain,
( ~ sQ129_spl
| ~ sQ14_spl
| op1(e12,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f470,f5168]) ).
fof(f5220,plain,
( ~ sQ43_spl
| ~ sQ129_spl
| ~ sQ14_spl
| e10 = e13 ),
inference(backward_demodulation,[status(thm)],[f5174,f564]) ).
fof(f5221,plain,
( ~ sQ43_spl
| ~ sQ129_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5220,f214]) ).
fof(f5222,plain,
( ~ sQ43_spl
| ~ sQ129_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f5221]) ).
fof(f5235,plain,
( sQ197_spl
| ~ sQ55_spl
| ~ sQ264_spl
| ~ sQ97_spl
| e21 != op2(h3(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f4620,f4522]) ).
fof(f5236,plain,
( sQ197_spl
| ~ sQ55_spl
| ~ sQ264_spl
| ~ sQ97_spl
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f4620,f5235]) ).
fof(f5237,plain,
( sQ197_spl
| ~ sQ55_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ89_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f746,f5236]) ).
fof(f5238,plain,
( sQ197_spl
| ~ sQ55_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ89_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5237]) ).
fof(f5239,plain,
( sQ197_spl
| ~ sQ55_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f5238]) ).
fof(f5244,plain,
( sQ220_spl
| ~ sQ227_spl
| ~ sQ55_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| e22 != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f3551,f2082]) ).
fof(f5245,plain,
( sQ220_spl
| ~ sQ227_spl
| ~ sQ55_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| e22 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3551,f5244]) ).
fof(f5246,plain,
( sQ220_spl
| ~ sQ227_spl
| ~ sQ55_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ110_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f814,f5245]) ).
fof(f5247,plain,
( sQ220_spl
| ~ sQ227_spl
| ~ sQ55_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ110_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5246]) ).
fof(f5248,plain,
( sQ220_spl
| ~ sQ227_spl
| ~ sQ55_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f5247]) ).
fof(f5280,plain,
( sQ222_spl
| ~ sQ299_spl
| ~ sQ227_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| e23 != op2(e22,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3551,f3006]) ).
fof(f5281,plain,
( sQ222_spl
| ~ sQ299_spl
| ~ sQ227_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3551,f5280]) ).
fof(f5282,plain,
( sQ222_spl
| ~ sQ299_spl
| ~ sQ227_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ189_spl
| ~ sQ107_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2816,f5281]) ).
fof(f5283,plain,
( sQ222_spl
| ~ sQ299_spl
| ~ sQ227_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ189_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5282]) ).
fof(f5284,plain,
( sQ222_spl
| ~ sQ299_spl
| ~ sQ227_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ189_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f5283]) ).
fof(f5370,plain,
( sQ207_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ302_spl
| ~ sQ242_spl
| ~ sQ0_spl
| h4(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f425,f4841]) ).
fof(f5371,plain,
( sQ184_spl
| ~ sQ264_spl
| ~ sQ64_spl
| ~ sQ0_spl
| h3(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f425,f3459]) ).
fof(f5375,plain,
( sQ207_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ302_spl
| ~ sQ242_spl
| ~ sQ0_spl
| ~ sQ276_spl ),
inference(split_clause,[status(thm)],[f5370,f1429,f424,f1284,f1539,f755,f1454,f1161]) ).
fof(f5376,plain,
( sQ184_spl
| ~ sQ64_spl
| ~ sQ0_spl
| ~ sQ264_spl ),
inference(split_clause,[status(thm)],[f5371,f1378,f424,f664,f1088]) ).
fof(f5398,plain,
( sQ196_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ50_spl
| h3(e12) != e23 ),
inference(forward_demodulation,[status(thm)],[f587,f4882]) ).
fof(f5399,plain,
( sQ196_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ50_spl
| ~ sQ189_spl
| ~ sQ107_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2689,f5398]) ).
fof(f5400,plain,
( sQ196_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ50_spl
| ~ sQ189_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5399]) ).
fof(f5401,plain,
( sQ196_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ50_spl
| ~ sQ189_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f5400]) ).
fof(f5419,plain,
( sQ221_spl
| ~ sQ287_spl
| ~ sQ282_spl
| ~ sQ56_spl
| h4(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f607,f4652]) ).
fof(f5421,plain,
( sQ221_spl
| ~ sQ287_spl
| ~ sQ282_spl
| ~ sQ56_spl
| ~ sQ276_spl ),
inference(split_clause,[status(thm)],[f5419,f1429,f606,f1454,f1475,f1203]) ).
fof(f5472,plain,
( ~ sQ301_spl
| ~ sQ50_spl
| op1(e12,op1(e13,e10)) = e13 ),
inference(forward_demodulation,[status(thm)],[f587,f1535]) ).
fof(f5473,plain,
( ~ sQ301_spl
| ~ sQ50_spl
| op1(e12,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f587,f5472]) ).
fof(f5474,plain,
( ~ sQ301_spl
| ~ sQ50_spl
| ~ sQ42_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f561,f5473]) ).
fof(f5475,plain,
( ~ sQ301_spl
| ~ sQ50_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5474,f217]) ).
fof(f5476,plain,
( ~ sQ301_spl
| ~ sQ50_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f5475]) ).
fof(f5485,plain,
( sQ210_spl
| ~ sQ15_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| e22 != op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3551,f4618]) ).
fof(f5486,plain,
( sQ210_spl
| ~ sQ15_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| e22 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f3551,f5485]) ).
fof(f5487,plain,
( sQ210_spl
| ~ sQ15_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ74_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f697,f5486]) ).
fof(f5488,plain,
( sQ210_spl
| ~ sQ15_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ74_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5487]) ).
fof(f5489,plain,
( sQ210_spl
| ~ sQ15_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f5488]) ).
fof(f5494,plain,
( sQ218_spl
| ~ sQ46_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f3551,f4637]) ).
fof(f5495,plain,
( sQ218_spl
| ~ sQ46_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ89_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f746,f5494]) ).
fof(f5496,plain,
( sQ218_spl
| ~ sQ46_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ89_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5495]) ).
fof(f5497,plain,
( sQ218_spl
| ~ sQ46_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ114_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f5496]) ).
fof(f5518,plain,
( sQ187_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ69_spl
| ~ sQ15_spl
| h3(e13) != e21 ),
inference(forward_demodulation,[status(thm)],[f473,f4887]) ).
fof(f5519,plain,
( sQ187_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ69_spl
| ~ sQ15_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4620,f5518]) ).
fof(f5520,plain,
( sQ187_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ69_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5519]) ).
fof(f5521,plain,
( sQ187_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ69_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f5520]) ).
fof(f5538,plain,
( sQ195_spl
| ~ sQ205_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ119_spl
| ~ sQ46_spl
| h3(e12) != e23 ),
inference(backward_demodulation,[status(thm)],[f574,f4774]) ).
fof(f5541,plain,
( sQ195_spl
| ~ sQ264_spl
| ~ sQ97_spl
| ~ sQ119_spl
| ~ sQ46_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f5538,f1153,f573,f842,f771,f1378,f1121]) ).
fof(f5548,plain,
( sQ209_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ69_spl
| ~ sQ10_spl
| h4(e12) != e21 ),
inference(backward_demodulation,[status(thm)],[f457,f4940]) ).
fof(f5549,plain,
( sQ186_spl
| ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ264_spl
| ~ sQ79_spl
| ~ sQ10_spl
| h3(e12) != e23 ),
inference(backward_demodulation,[status(thm)],[f457,f4862]) ).
fof(f5553,plain,
( sQ163_spl
| ~ sQ74_spl
| ~ sQ10_spl
| h2(e12) != e22 ),
inference(backward_demodulation,[status(thm)],[f457,f3381]) ).
fof(f5554,plain,
( sQ209_spl
| ~ sQ92_spl
| ~ sQ69_spl
| ~ sQ10_spl
| ~ sQ282_spl ),
inference(split_clause,[status(thm)],[f5548,f1454,f456,f680,f755,f1167]) ).
fof(f5555,plain,
( sQ186_spl
| ~ sQ189_spl
| ~ sQ107_spl
| ~ sQ264_spl
| ~ sQ79_spl
| ~ sQ10_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f5549,f1153,f456,f712,f1378,f803,f1103,f1094]) ).
fof(f5556,plain,
( sQ163_spl
| ~ sQ74_spl
| ~ sQ10_spl
| ~ sQ262_spl ),
inference(split_clause,[status(thm)],[f5553,f1369,f456,f696,f1021]) ).
fof(f5574,plain,
( ~ sQ69_spl
| h1(e12) != e21 ),
inference(forward_demodulation,[status(thm)],[f681,f1721]) ).
fof(f5669,plain,
( sQ172_spl
| ~ sQ183_spl
| ~ sQ46_spl
| h2(e12) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f574,f2777]) ).
fof(f5670,plain,
( sQ172_spl
| ~ sQ183_spl
| ~ sQ46_spl
| e22 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2302,f5669]) ).
fof(f5671,plain,
( sQ172_spl
| ~ sQ183_spl
| ~ sQ46_spl
| ~ sQ110_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f814,f5670]) ).
fof(f5672,plain,
( sQ172_spl
| ~ sQ183_spl
| ~ sQ46_spl
| ~ sQ110_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5671]) ).
fof(f5673,plain,
( sQ172_spl
| ~ sQ183_spl
| ~ sQ46_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f5672]) ).
fof(f5674,plain,
( sQ164_spl
| ~ sQ183_spl
| ~ sQ15_spl
| h2(e13) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f473,f2779]) ).
fof(f5675,plain,
( sQ164_spl
| ~ sQ183_spl
| ~ sQ15_spl
| e23 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1085,f5674]) ).
fof(f5676,plain,
( sQ164_spl
| ~ sQ183_spl
| ~ sQ15_spl
| ~ sQ79_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f713,f5675]) ).
fof(f5677,plain,
( sQ164_spl
| ~ sQ183_spl
| ~ sQ15_spl
| ~ sQ79_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5676]) ).
fof(f5678,plain,
( sQ164_spl
| ~ sQ183_spl
| ~ sQ15_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f5677]) ).
fof(f5697,plain,
( ~ sQ79_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f4520,f699,f712]) ).
fof(f5770,plain,
( ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ112_spl
| e20 = op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f4456,f3545]) ).
fof(f5791,plain,
( ~ sQ305_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ112_spl
| op2(e20,op2(e23,e20)) = e23 ),
inference(forward_demodulation,[status(thm)],[f5770,f1552]) ).
fof(f5792,plain,
( ~ sQ305_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ112_spl
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f5770,f5791]) ).
fof(f5795,plain,
( ~ sQ305_spl
| ~ sQ282_spl
| ~ sQ92_spl
| ~ sQ112_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f5792,f673,f820,f755,f1454,f1551]) ).
fof(f5806,plain,
( sQ161_spl
| ~ sQ242_spl
| ~ sQ0_spl
| h2(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f425,f4815]) ).
fof(f5807,plain,
( sQ161_spl
| ~ sQ242_spl
| ~ sQ0_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2402,f5806]) ).
fof(f5808,plain,
( sQ161_spl
| ~ sQ242_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5807]) ).
fof(f5809,plain,
( sQ161_spl
| ~ sQ242_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f5808]) ).
fof(f5817,plain,
( ~ sQ305_spl
| ~ sQ114_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f3508,f803,f826,f1551]) ).
fof(f5848,plain,
( ~ sQ65_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f4105,f1301,f667]) ).
fof(f5882,plain,
( ~ sQ110_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3574,f774,f813]) ).
fof(f5884,plain,
( ~ sQ89_spl
| ~ sQ270_spl ),
inference(split_clause,[status(thm)],[f2994,f1403,f745]) ).
fof(f5886,plain,
( ~ sQ295_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f2301,f797,f1508]) ).
fof(f5887,plain,
( ~ sQ295_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f2328,f745,f1508]) ).
fof(f5896,plain,
( ~ sQ296_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f2265,f670,f1512]) ).
fof(f5903,plain,
( ~ sQ134_spl
| ~ sQ78_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f4069,f794,f709,f926]) ).
fof(f5904,plain,
( ~ sQ69_spl
| ~ sQ246_spl ),
inference(split_clause,[status(thm)],[f5574,f1301,f680]) ).
fof(f5929,plain,
( ~ sQ136_spl
| ~ sQ111_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f4044,f865,f816,f934]) ).
fof(f5972,plain,
( sQ189_spl
| h3(e12) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f268,f1837]) ).
fof(f5973,plain,
( sQ189_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5972]) ).
fof(f5974,plain,
sQ189_spl,
inference(contradiction_clause,[status(thm)],[f5973]) ).
fof(f5985,plain,
( sQ193_spl
| h3(e10) != h3(e10) ),
inference(forward_demodulation,[status(thm)],[f4003,f2293]) ).
fof(f5986,plain,
( sQ193_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5985]) ).
fof(f5987,plain,
sQ193_spl,
inference(contradiction_clause,[status(thm)],[f5986]) ).
fof(f6048,plain,
( ~ sQ286_spl
| ~ sQ125_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f863,f4151]) ).
fof(f6049,plain,
( ~ sQ286_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6048,f221]) ).
fof(f6050,plain,
( ~ sQ286_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f6049]) ).
fof(f6104,plain,
( ~ sQ105_spl
| h3(e12) = e21 ),
inference(backward_demodulation,[status(thm)],[f798,f268]) ).
fof(f6105,plain,
( ~ sQ105_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f6104,f1403,f797]) ).
fof(f6106,plain,
( ~ sQ270_spl
| sQ295_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1404,f3032]) ).
fof(f6107,plain,
( ~ sQ270_spl
| sQ295_spl ),
inference(contradiction_clause,[status(thm)],[f6106]) ).
fof(f6124,plain,
( ~ sQ270_spl
| h3(e10) = op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f1404,f4003]) ).
fof(f6131,plain,
( ~ sQ270_spl
| ~ sQ88_spl
| h3(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f743,f6124]) ).
fof(f6132,plain,
( ~ sQ270_spl
| ~ sQ88_spl
| sQ264_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6131,f1380]) ).
fof(f6133,plain,
( ~ sQ270_spl
| ~ sQ88_spl
| sQ264_spl ),
inference(contradiction_clause,[status(thm)],[f6132]) ).
fof(f6152,plain,
( ~ sQ264_spl
| ~ sQ98_spl
| h3(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f775,f4700]) ).
fof(f6153,plain,
( ~ sQ264_spl
| ~ sQ98_spl
| sQ275_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6152,f1426]) ).
fof(f6154,plain,
( ~ sQ264_spl
| ~ sQ98_spl
| sQ275_spl ),
inference(contradiction_clause,[status(thm)],[f6153]) ).
fof(f6215,plain,
( ~ sQ304_spl
| ~ sQ98_spl
| op2(e22,op2(e22,e20)) = e22 ),
inference(forward_demodulation,[status(thm)],[f775,f1548]) ).
fof(f6216,plain,
( ~ sQ304_spl
| ~ sQ98_spl
| op2(e22,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f775,f6215]) ).
fof(f6217,plain,
( ~ sQ304_spl
| ~ sQ98_spl
| ~ sQ105_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f798,f6216]) ).
fof(f6218,plain,
( ~ sQ304_spl
| ~ sQ98_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6217,f221]) ).
fof(f6219,plain,
( ~ sQ304_spl
| ~ sQ98_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f6218]) ).
fof(f6362,plain,
( ~ sQ236_spl
| ~ sQ74_spl
| op2(e22,op2(e20,e22)) = e20 ),
inference(forward_demodulation,[status(thm)],[f697,f1259]) ).
fof(f6363,plain,
( ~ sQ105_spl
| ~ sQ236_spl
| ~ sQ74_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f6364,f798]) ).
fof(f6364,plain,
( ~ sQ236_spl
| ~ sQ74_spl
| op2(e22,e22) = e20 ),
inference(forward_demodulation,[status(thm)],[f697,f6362]) ).
fof(f6365,plain,
( ~ sQ105_spl
| ~ sQ236_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6363,f218]) ).
fof(f6366,plain,
( ~ sQ105_spl
| ~ sQ236_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f6365]) ).
fof(f6367,plain,
$false,
inference(sat_refutation,[status(thm)],[f436,f462,f475,f501,f514,f527,f540,f566,f579,f592,f618,f631,f632,f636,f638,f640,f643,f647,f649,f651,f653,f654,f655,f656,f658,f660,f661,f662,f689,f702,f715,f754,f767,f780,f806,f819,f832,f845,f858,f872,f873,f875,f876,f881,f882,f885,f890,f892,f893,f894,f895,f897,f898,f899,f903,f910,f914,f918,f929,f933,f937,f941,f1225,f1240,f1244,f1252,f1261,f1265,f1287,f1330,f1351,f1372,f1381,f1406,f1410,f1419,f1432,f1457,f1478,f1486,f1490,f1507,f1511,f1515,f1525,f1529,f1537,f1542,f1546,f1554,f1558,f1583,f1592,f1612,f1615,f1618,f1630,f1638,f1646,f1653,f1664,f1673,f1699,f1706,f1743,f1747,f1761,f1764,f1779,f1784,f1790,f1825,f1913,f1916,f1922,f1925,f1934,f1941,f1947,f1959,f1980,f1986,f1999,f2002,f2008,f2021,f2028,f2053,f2091,f2094,f2103,f2106,f2115,f2127,f2130,f2163,f2169,f2183,f2186,f2189,f2195,f2206,f2212,f2268,f2279,f2285,f2288,f2294,f2296,f2304,f2305,f2311,f2349,f2366,f2368,f2375,f2376,f2379,f2383,f2386,f2389,f2390,f2404,f2405,f2430,f2446,f2449,f2453,f2458,f2488,f2492,f2493,f2495,f2526,f2529,f2530,f2531,f2532,f2538,f2544,f2556,f2561,f2568,f2578,f2579,f2580,f2583,f2585,f2587,f2588,f2592,f2614,f2617,f2622,f2623,f2625,f2631,f2648,f2649,f2652,f2671,f2675,f2685,f2687,f2712,f2724,f2725,f2726,f2728,f2729,f2733,f2734,f2739,f2742,f2743,f2744,f2754,f2770,f2774,f2789,f2801,f2812,f2825,f2827,f2829,f2831,f2838,f2845,f2871,f2872,f2883,f2888,f2893,f2896,f2905,f2912,f2925,f2928,f2940,f2963,f3000,f3022,f3027,f3033,f3035,f3044,f3054,f3057,f3066,f3070,f3071,f3073,f3078,f3079,f3093,f3098,f3103,f3131,f3152,f3156,f3160,f3187,f3188,f3207,f3212,f3213,f3328,f3331,f3333,f3348,f3349,f3355,f3367,f3376,f3386,f3430,f3458,f3498,f3504,f3536,f3553,f3593,f3597,f3601,f3606,f3613,f3628,f3641,f3644,f3667,f3682,f3688,f3689,f3704,f3714,f3761,f3763,f3768,f3769,f3772,f3777,f3808,f3810,f3822,f3830,f3831,f3832,f3860,f3872,f3886,f3909,f3918,f3973,f3985,f4072,f4081,f4082,f4090,f4098,f4107,f4128,f4130,f4170,f4185,f4187,f4247,f4264,f4324,f4333,f4334,f4429,f4555,f4586,f4595,f4622,f4713,f4727,f4728,f4737,f4742,f4743,f4783,f4784,f4785,f4792,f4804,f5058,f5065,f5070,f5222,f5239,f5248,f5284,f5375,f5376,f5401,f5421,f5476,f5489,f5497,f5521,f5541,f5554,f5555,f5556,f5673,f5678,f5697,f5795,f5809,f5817,f5848,f5882,f5884,f5886,f5887,f5896,f5903,f5904,f5929,f5974,f5987,f6050,f6105,f6107,f6133,f6154,f6219,f6366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG112+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n001.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 13:02:29 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 4.17/1.10 % Refutation found
% 4.17/1.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.17/1.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.38/1.14 % Elapsed time: 0.683328 seconds
% 1.38/1.14 % CPU time: 4.909673 seconds
% 1.38/1.14 % Total memory used: 168.757 MB
% 1.38/1.14 % Net memory used: 167.768 MB
%------------------------------------------------------------------------------