%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG125+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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:20 AM UTC 2026
% Result : Theorem 0.96s 0.67s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 296
% Syntax : Number of formulae : 1817 ( 149 unt; 279 def)
% Number of atoms : 6135 (2822 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 7443 (3125 ~;3347 |; 688 &)
% ( 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(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 )
& ( ( op1(e13,op1(e13,e13)) != op1(e13,e13)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e10,op1(e13,e10)) != op1(e13,e10) )
| ( op1(e13,op1(e12,e13)) != op1(e12,e13)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e10,op1(e12,e10)) != op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != op1(e11,e13)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e10,op1(e11,e10)) != op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != op1(e10,e13)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e10,op1(e10,e10)) != op1(e10,e10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 )
& ( ( op2(e23,op2(e23,e23)) != op2(e23,e23)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e20,op2(e23,e20)) != op2(e23,e20) )
| ( op2(e23,op2(e22,e23)) != op2(e22,e23)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e20,op2(e22,e20)) != op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != op2(e21,e23)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e20,op2(e21,e20)) != op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != op2(e20,e23)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e20,op2(e20,e20)) != op2(e20,e20) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13)))
& e11 = op1(e13,e13)
& e10 = op1(op1(e13,e13),op1(e13,e13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& e21 = op2(e23,e23)
& e20 = op2(op2(e23,e23),op2(e23,e23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20)))
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e13) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21)))
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e13) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22)))
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e13) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23)))
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e13) = 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(f21,plain,
( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(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(f37,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f43,plain,
( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f47,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f61,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(f67,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(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(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(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f86,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f88,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f90,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f91,plain,
( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f98,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f103,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f108,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(f113,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f123,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f124,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f126,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f139,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f140,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f141,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
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(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(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f167,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(f172,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f174,plain,
op2(e21,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(f182,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f184,plain,
op2(e20,e23) != op2(e23,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(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f202,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f220,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f240,definition,
( sP0_prd
<=> ( ( op1(e13,op1(e12,e13)) != op1(e12,e13)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e10,op1(e12,e10)) != op1(e12,e10) )
| ( op1(e13,op1(e11,e13)) != op1(e11,e13)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e10,op1(e11,e10)) != op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != op1(e10,e13)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e10,op1(e10,e10)) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,plain,
( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 )
& ( ( op1(e13,op1(e13,e13)) != op1(e13,e13)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e10,op1(e13,e10)) != op1(e13,e10) )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f242,plain,
( op1(e10,op1(e13,e10)) != op1(e13,e10)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
( op1(e11,op1(e13,e11)) != op1(e13,e11)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f244,plain,
( op1(e12,op1(e13,e12)) != op1(e13,e12)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f246,plain,
( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f248,plain,
( op1(e10,e11) = e10
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f249,plain,
( op1(e10,e12) = e10
| op1(e10,e10) != e12 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f250,plain,
( op1(e10,e13) = e10
| op1(e10,e10) != e13 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f251,plain,
( op1(e11,e10) = e11
| op1(e11,e11) != e10 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f253,plain,
( op1(e11,e12) = e11
| op1(e11,e11) != e12 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f255,plain,
( op1(e12,e10) = e12
| op1(e12,e12) != e10 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f256,plain,
( op1(e12,e11) = e12
| op1(e12,e12) != e11 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f258,plain,
( op1(e12,e13) = e12
| op1(e12,e12) != e13 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f260,plain,
( op1(e13,e11) = e13
| op1(e13,e13) != e11 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f261,plain,
( op1(e13,e12) = e13
| op1(e13,e13) != e12 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f263,definition,
( sP1_prd
<=> ( ( op2(e23,op2(e22,e23)) != op2(e22,e23)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e20,op2(e22,e20)) != op2(e22,e20) )
| ( op2(e23,op2(e21,e23)) != op2(e21,e23)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e20,op2(e21,e20)) != op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != op2(e20,e23)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e20,op2(e20,e20)) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f264,plain,
( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 )
& ( ( op2(e23,op2(e23,e23)) != op2(e23,e23)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e20,op2(e23,e20)) != op2(e23,e20) )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f11,f263]) ).
fof(f265,plain,
( op2(e20,op2(e23,e20)) != op2(e23,e20)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f266,plain,
( op2(e21,op2(e23,e21)) != op2(e23,e21)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f267,plain,
( op2(e22,op2(e23,e22)) != op2(e23,e22)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f269,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f272,plain,
( op2(e20,e22) = e20
| op2(e20,e20) != e22 ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f273,plain,
( op2(e20,e23) = e20
| op2(e20,e20) != e23 ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f274,plain,
( op2(e21,e20) = e21
| op2(e21,e21) != e20 ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f278,plain,
( op2(e22,e20) = e22
| op2(e22,e22) != e20 ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f281,plain,
( op2(e22,e23) = e22
| op2(e22,e22) != e23 ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f283,plain,
( op2(e23,e21) = e23
| op2(e23,e23) != e21 ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f286,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f287,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f288,plain,
e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f289,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f290,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f291,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f292,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f293,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f294,plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f295,plain,
h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f296,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f297,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f298,plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f299,plain,
h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21))),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f300,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f301,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f302,plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f303,plain,
h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22))),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f304,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f305,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f306,plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f307,plain,
h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f308,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(f309,definition,
( sP2_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f310,definition,
( sP3_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f311,definition,
( sP4_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f312,definition,
( sP5_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f313,definition,
( sP6_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f314,definition,
( sP7_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f315,definition,
( sP8_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f316,definition,
( sP9_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f317,definition,
( sP10_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f318,definition,
( sP11_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f319,definition,
( sP12_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f320,definition,
( sP13_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f321,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)],[f308,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309]) ).
fof(f337,plain,
( h4(e13) != e23
| sP13_prd
| sP12_prd
| sP11_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f338,definition,
( sP14_prd
<=> ( ( op1(e13,op1(e11,e13)) != op1(e11,e13)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e10,op1(e11,e10)) != op1(e11,e10) )
| ( op1(e13,op1(e10,e13)) != op1(e10,e13)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e10,op1(e10,e10)) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f339,plain,
( sP0_prd
<=> ( ( op1(e13,op1(e12,e13)) != op1(e12,e13)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e10,op1(e12,e10)) != op1(e12,e10) )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f338]) ).
fof(f340,plain,
( ( ( ( op1(e13,op1(e12,e13)) = op1(e12,e13)
| op1(e12,op1(e12,e12)) = op1(e12,e12)
| op1(e11,op1(e12,e11)) = op1(e12,e11)
| op1(e10,op1(e12,e10)) = op1(e12,e10) )
& ~ sP14_prd )
| sP0_prd )
& ( ( op1(e13,op1(e12,e13)) != op1(e12,e13)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e10,op1(e12,e10)) != op1(e12,e10) )
| sP14_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f339]) ).
fof(f341,plain,
( op1(e10,op1(e12,e10)) != op1(e12,e10)
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f342,plain,
( op1(e11,op1(e12,e11)) != op1(e12,e11)
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f343,plain,
( op1(e12,op1(e12,e12)) != op1(e12,e12)
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f345,plain,
( ~ sP14_prd
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f347,definition,
( sP15_prd
<=> ( ( op2(e23,op2(e21,e23)) != op2(e21,e23)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e20,op2(e21,e20)) != op2(e21,e20) )
| ( op2(e23,op2(e20,e23)) != op2(e20,e23)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e20,op2(e20,e20)) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f348,plain,
( sP1_prd
<=> ( ( op2(e23,op2(e22,e23)) != op2(e22,e23)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e20,op2(e22,e20)) != op2(e22,e20) )
| sP15_prd ) ),
inference(formula_renaming,[status(thm)],[f263,f347]) ).
fof(f349,plain,
( ( ( ( op2(e23,op2(e22,e23)) = op2(e22,e23)
| op2(e22,op2(e22,e22)) = op2(e22,e22)
| op2(e21,op2(e22,e21)) = op2(e22,e21)
| op2(e20,op2(e22,e20)) = op2(e22,e20) )
& ~ sP15_prd )
| sP1_prd )
& ( ( op2(e23,op2(e22,e23)) != op2(e22,e23)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e20,op2(e22,e20)) != op2(e22,e20) )
| sP15_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f348]) ).
fof(f350,plain,
( op2(e20,op2(e22,e20)) != op2(e22,e20)
| sP15_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f351,plain,
( op2(e21,op2(e22,e21)) != op2(e22,e21)
| sP15_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f352,plain,
( op2(e22,op2(e22,e22)) != op2(e22,e22)
| sP15_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f354,plain,
( ~ sP15_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f356,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)],[f309]) ).
fof(f357,plain,
( h1(e10) != e20
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f362,plain,
( ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21
| sP3_prd )
& ( ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f310]) ).
fof(f363,plain,
( h1(e10) != e21
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f367,plain,
( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f368,plain,
( ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP4_prd )
& ( ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f311]) ).
fof(f371,plain,
( h1(e12) != e22
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f373,plain,
( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP4_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f374,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)],[f312]) ).
fof(f376,plain,
( h2(e11) != e20
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f380,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)],[f313]) ).
fof(f384,plain,
( h2(e13) != e21
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f386,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)],[f314]) ).
fof(f391,plain,
( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f392,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)],[f315]) ).
fof(f397,plain,
( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f398,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)],[f316]) ).
fof(f400,plain,
( h3(e11) != e21
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f403,plain,
( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f404,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)],[f317]) ).
fof(f408,plain,
( h3(e13) != e22
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f410,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)],[f318]) ).
fof(f411,plain,
( h4(e10) != e20
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f416,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)],[f319]) ).
fof(f418,plain,
( h4(e11) != e21
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,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)],[f320]) ).
fof(f425,plain,
( h4(e12) != e22
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f428,definition,
( sP16_prd
<=> ( op1(e13,op1(e10,e13)) != op1(e10,e13)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e10,op1(e10,e10)) != op1(e10,e10) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f429,plain,
( sP14_prd
<=> ( ( op1(e13,op1(e11,e13)) != op1(e11,e13)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e10,op1(e11,e10)) != op1(e11,e10) )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f338,f428]) ).
fof(f430,plain,
( ( ( ( op1(e13,op1(e11,e13)) = op1(e11,e13)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e10,op1(e11,e10)) = op1(e11,e10) )
& ~ sP16_prd )
| sP14_prd )
& ( ( op1(e13,op1(e11,e13)) != op1(e11,e13)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e10,op1(e11,e10)) != op1(e11,e10) )
| sP16_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f429]) ).
fof(f431,plain,
( op1(e10,op1(e11,e10)) != op1(e11,e10)
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f430]) ).
fof(f433,plain,
( op1(e12,op1(e11,e12)) != op1(e11,e12)
| sP16_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f430]) ).
fof(f436,plain,
( op1(e13,op1(e11,e13)) = op1(e11,e13)
| op1(e12,op1(e11,e12)) = op1(e11,e12)
| op1(e11,op1(e11,e11)) = op1(e11,e11)
| op1(e10,op1(e11,e10)) = op1(e11,e10)
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f430]) ).
fof(f437,definition,
( sP17_prd
<=> ( op2(e23,op2(e20,e23)) != op2(e20,e23)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e20,op2(e20,e20)) != op2(e20,e20) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f438,plain,
( sP15_prd
<=> ( ( op2(e23,op2(e21,e23)) != op2(e21,e23)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e20,op2(e21,e20)) != op2(e21,e20) )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f347,f437]) ).
fof(f439,plain,
( ( ( ( op2(e23,op2(e21,e23)) = op2(e21,e23)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e20,op2(e21,e20)) = op2(e21,e20) )
& ~ sP17_prd )
| sP15_prd )
& ( ( op2(e23,op2(e21,e23)) != op2(e21,e23)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e20,op2(e21,e20)) != op2(e21,e20) )
| sP17_prd
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f438]) ).
fof(f440,plain,
( op2(e20,op2(e21,e20)) != op2(e21,e20)
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f442,plain,
( op2(e22,op2(e21,e22)) != op2(e21,e22)
| sP17_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f445,plain,
( op2(e23,op2(e21,e23)) = op2(e21,e23)
| op2(e22,op2(e21,e22)) = op2(e21,e22)
| op2(e21,op2(e21,e21)) = op2(e21,e21)
| op2(e20,op2(e21,e20)) = op2(e21,e20)
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f446,plain,
( ( op1(e13,op1(e10,e13)) = op1(e10,e13)
| op1(e12,op1(e10,e12)) = op1(e10,e12)
| op1(e11,op1(e10,e11)) = op1(e10,e11)
| op1(e10,op1(e10,e10)) = op1(e10,e10)
| sP16_prd )
& ( ( op1(e13,op1(e10,e13)) != op1(e10,e13)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e10,op1(e10,e10)) != op1(e10,e10) )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f428]) ).
fof(f447,plain,
( op1(e10,op1(e10,e10)) != op1(e10,e10)
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f449,plain,
( op1(e12,op1(e10,e12)) != op1(e10,e12)
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f452,plain,
( ( op2(e23,op2(e20,e23)) = op2(e20,e23)
| op2(e22,op2(e20,e22)) = op2(e20,e22)
| op2(e21,op2(e20,e21)) = op2(e20,e21)
| op2(e20,op2(e20,e20)) = op2(e20,e20)
| sP17_prd )
& ( ( op2(e23,op2(e20,e23)) != op2(e20,e23)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e20,op2(e20,e20)) != op2(e20,e20) )
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f437]) ).
fof(f453,plain,
( op2(e20,op2(e20,e20)) != op2(e20,e20)
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f455,plain,
( op2(e22,op2(e20,e22)) != op2(e20,e22)
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f458,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f464,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f467,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f471,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f21,f471,f474,f477,f480]) ).
fof(f484,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f497,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f23,f497,f500,f503,f506]) ).
fof(f510,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f523,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( sQ20_spl
| op1(e11,e11) != e10 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f529,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f532,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f536,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f549,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f562,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f568,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f575,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f579,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f588,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f591,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f592,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f591]) ).
fof(f594,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f595,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f594]) ).
fof(f597,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f30,f588,f591,f594,f597]) ).
fof(f601,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f31,f601,f604,f607,f610]) ).
fof(f614,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f32,f614,f617,f620,f623]) ).
fof(f627,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f640,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f647,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f650,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f653,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f654,plain,
( ~ sQ60_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( sQ61_spl
| op1(e13,e13) != e11 ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f662,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f667,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f458,f510,f562,f614]) ).
fof(f668,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f38,f461,f474,f487,f500]) ).
fof(f670,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f464,f477,f490,f503]) ).
fof(f672,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f42,f467,f480,f493,f506]) ).
fof(f673,plain,
( sQ51_spl
| sQ35_spl
| sQ19_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f43,f467,f519,f571,f623]) ).
fof(f677,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f474,f526,f578,f630]) ).
fof(f678,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f48,f516,f529,f542,f555]) ).
fof(f679,plain,
( sQ54_spl
| sQ38_spl
| sQ22_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f49,f477,f529,f581,f633]) ).
fof(f680,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f50,f519,f532,f545,f558]) ).
fof(f682,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f52,f562,f575,f588,f601]) ).
fof(f685,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f55,f487,f539,f591,f643]) ).
fof(f687,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f490,f542,f594,f646]) ).
fof(f688,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f58,f571,f584,f597,f610]) ).
fof(f689,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f493,f545,f597,f649]) ).
fof(f690,plain,
( sQ60_spl
| sQ56_spl
| sQ52_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f60,f614,f627,f640,f653]) ).
fof(f691,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f61,f497,f549,f601,f653]) ).
fof(f695,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f65,f503,f555,f607,f659]) ).
fof(f697,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f506,f558,f610,f662]) ).
fof(f698,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f699,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f704,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f707,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ67_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f711,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f712,plain,
( ~ sQ68_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f715,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f718,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f69,f711,f714,f717,f720]) ).
fof(f724,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f727,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f731,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f733,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f70,f724,f727,f730,f733]) ).
fof(f737,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f71,f737,f740,f743,f746]) ).
fof(f750,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f763,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( sQ84_spl
| op2(e21,e21) != e20 ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f766,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f776,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f779,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ91_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f74,f776,f779,f782,f785]) ).
fof(f789,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f790,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f793,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f796,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f795]) ).
fof(f798,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f799,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f75,f789,f792,f795,f798]) ).
fof(f802,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f803,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f808,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f809,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( ~ sQ99_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f815,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f819,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f822,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f824,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f825,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f828,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f831,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f832,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f78,f828,f831,f834,f837]) ).
fof(f841,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f851,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f854,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f855,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f861,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f862,plain,
( sQ114_spl
| op2(e23,e20) != e22 ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f867,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f868,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f871,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f874,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f880,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f881,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f884,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f887,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f889,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f893,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f896,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( sQ125_spl
| op2(e23,e23) != e21 ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f899,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f900,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f899]) ).
fof(f902,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f903,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f906,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f698,f711,f724,f737]) ).
fof(f907,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f698,f750,f802,f854]) ).
fof(f908,plain,
( sQ77_spl
| sQ73_spl
| sQ69_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f86,f701,f714,f727,f740]) ).
fof(f910,plain,
( sQ78_spl
| sQ74_spl
| sQ70_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f88,f704,f717,f730,f743]) ).
fof(f912,plain,
( sQ79_spl
| sQ75_spl
| sQ71_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f90,f707,f720,f733,f746]) ).
fof(f913,plain,
( sQ115_spl
| sQ99_spl
| sQ83_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f91,f707,f759,f811,f863]) ).
fof(f917,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f95,f714,f766,f818,f870]) ).
fof(f919,plain,
( sQ118_spl
| sQ102_spl
| sQ86_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f97,f717,f769,f821,f873]) ).
fof(f920,plain,
( sQ95_spl
| sQ91_spl
| sQ87_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f98,f759,f772,f785,f798]) ).
fof(f922,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f802,f815,f828,f841]) ).
fof(f924,plain,
( sQ109_spl
| sQ105_spl
| sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f102,f805,f818,f831,f844]) ).
fof(f925,plain,
( sQ121_spl
| sQ105_spl
| sQ89_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f103,f727,f779,f831,f883]) ).
fof(f927,plain,
( sQ122_spl
| sQ106_spl
| sQ90_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f105,f730,f782,f834,f886]) ).
fof(f928,plain,
( sQ111_spl
| sQ107_spl
| sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f106,f811,f824,f837,f850]) ).
fof(f930,plain,
( sQ124_spl
| sQ120_spl
| sQ116_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f108,f854,f867,f880,f893]) ).
fof(f931,plain,
( sQ124_spl
| sQ108_spl
| sQ92_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f109,f737,f789,f841,f893]) ).
fof(f935,plain,
( sQ126_spl
| sQ110_spl
| sQ94_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f113,f743,f795,f847,f899]) ).
fof(f938,definition,
( sQ128_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f941,definition,
( sQ129_spl
<=> op1(e10,op1(e13,e10)) = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f943,plain,
( sQ129_spl
| op1(e10,op1(e13,e10)) != op1(e13,e10) ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,plain,
( ~ sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f242,f938,f941]) ).
fof(f945,definition,
( sQ130_spl
<=> op1(e11,op1(e13,e11)) = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f946,plain,
( ~ sQ130_spl
| op1(e11,op1(e13,e11)) = op1(e13,e11) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f947,plain,
( sQ130_spl
| op1(e11,op1(e13,e11)) != op1(e13,e11) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,plain,
( ~ sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f243,f938,f945]) ).
fof(f949,definition,
( sQ131_spl
<=> op1(e12,op1(e13,e12)) = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f950,plain,
( ~ sQ131_spl
| op1(e12,op1(e13,e12)) = op1(e13,e12) ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f951,plain,
( sQ131_spl
| op1(e12,op1(e13,e12)) != op1(e13,e12) ),
inference(component_clause,[status(thm)],[f949]) ).
fof(f952,plain,
( ~ sQ131_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f244,f938,f949]) ).
fof(f957,plain,
( sQ63_spl
| sQ42_spl
| sQ21_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f246,f458,f526,f594,f662]) ).
fof(f959,plain,
( sQ4_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f248,f461,f471]) ).
fof(f960,plain,
( sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f249,f464,f484]) ).
fof(f961,plain,
( sQ12_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f250,f467,f497]) ).
fof(f962,plain,
( sQ17_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f251,f523,f513]) ).
fof(f964,plain,
( sQ25_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f253,f529,f539]) ).
fof(f966,plain,
( sQ34_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f255,f588,f568]) ).
fof(f967,plain,
( sQ38_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f256,f591,f581]) ).
fof(f969,plain,
( sQ46_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f258,f597,f607]) ).
fof(f971,plain,
( sQ55_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f260,f656,f636]) ).
fof(f972,plain,
( sQ59_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f261,f659,f649]) ).
fof(f974,definition,
( sQ133_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f977,definition,
( sQ134_spl
<=> op2(e20,op2(e23,e20)) = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f978,plain,
( ~ sQ134_spl
| op2(e20,op2(e23,e20)) = op2(e23,e20) ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f979,plain,
( sQ134_spl
| op2(e20,op2(e23,e20)) != op2(e23,e20) ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f980,plain,
( ~ sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f265,f974,f977]) ).
fof(f981,definition,
( sQ135_spl
<=> op2(e21,op2(e23,e21)) = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f982,plain,
( ~ sQ135_spl
| op2(e21,op2(e23,e21)) = op2(e23,e21) ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f983,plain,
( sQ135_spl
| op2(e21,op2(e23,e21)) != op2(e23,e21) ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f984,plain,
( ~ sQ135_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f266,f974,f981]) ).
fof(f985,definition,
( sQ136_spl
<=> op2(e22,op2(e23,e22)) = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f986,plain,
( ~ sQ136_spl
| op2(e22,op2(e23,e22)) = op2(e23,e22) ),
inference(component_clause,[status(thm)],[f985]) ).
fof(f987,plain,
( sQ136_spl
| op2(e22,op2(e23,e22)) != op2(e23,e22) ),
inference(component_clause,[status(thm)],[f985]) ).
fof(f988,plain,
( ~ sQ136_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f267,f974,f985]) ).
fof(f993,plain,
( sQ127_spl
| sQ106_spl
| sQ85_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f269,f698,f766,f834,f902]) ).
fof(f996,plain,
( sQ72_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f272,f704,f724]) ).
fof(f997,plain,
( sQ76_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f273,f707,f737]) ).
fof(f998,plain,
( sQ81_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f274,f763,f753]) ).
fof(f1002,plain,
( sQ98_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f278,f828,f808]) ).
fof(f1005,plain,
( sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f281,f837,f847]) ).
fof(f1007,plain,
( sQ119_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f283,f896,f876]) ).
fof(f1010,definition,
( sQ138_spl
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
( sQ138_spl
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f1010]) ).
fof(f1016,definition,
( sQ140_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1018,plain,
( sQ140_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f1016]) ).
fof(f1022,definition,
( sQ142_spl
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1024,plain,
( sQ142_spl
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f1022]) ).
fof(f1025,definition,
( sQ143_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( ~ sQ143_spl
| h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1027,plain,
( sQ143_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1034,definition,
( sQ146_spl
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1036,plain,
( sQ146_spl
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f1034]) ).
fof(f1043,definition,
( sQ149_spl
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
( sQ149_spl
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f1043]) ).
fof(f1046,definition,
( sQ150_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1048,plain,
( sQ150_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f1046]) ).
fof(f1049,definition,
( sQ151_spl
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1051,plain,
( sQ151_spl
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1052,definition,
( sQ152_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1054,plain,
( sQ152_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f1052]) ).
fof(f1055,definition,
( sQ153_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( sQ153_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f1055]) ).
fof(f1058,definition,
( sQ154_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1061,definition,
( sQ155_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1064,definition,
( sQ156_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1083,definition,
( sQ161_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
( sQ161_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1092,definition,
( sQ164_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1093,plain,
( ~ sQ164_spl
| h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1092]) ).
fof(f1094,plain,
( sQ164_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1092]) ).
fof(f1095,definition,
( sQ165_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1097,plain,
( sQ165_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f1095]) ).
fof(f1098,definition,
( sQ166_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( sQ166_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1107,definition,
( sQ169_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( sQ169_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1107]) ).
fof(f1116,definition,
( sQ172_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1118,plain,
( sQ172_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1116]) ).
fof(f1122,definition,
( sQ174_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1123,plain,
( ~ sQ174_spl
| h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1122]) ).
fof(f1124,plain,
( sQ174_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f1122]) ).
fof(f1128,definition,
( sQ176_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1130,plain,
( sQ176_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1128]) ).
fof(f1131,definition,
( sQ177_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1134,definition,
( sQ178_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1137,definition,
( sQ179_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1156,definition,
( sQ184_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1158,plain,
( sQ184_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1156]) ).
fof(f1165,definition,
( sQ187_spl
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1167,plain,
( sQ187_spl
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1165]) ).
fof(f1168,definition,
( sQ188_spl
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1170,plain,
( sQ188_spl
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f1168]) ).
fof(f1171,definition,
( sQ189_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1173,plain,
( sQ189_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1192,definition,
( sQ196_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1194,plain,
( sQ196_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1195,definition,
( sQ197_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1196,plain,
( ~ sQ197_spl
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1195]) ).
fof(f1197,plain,
( sQ197_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1195]) ).
fof(f1201,definition,
( sQ199_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( ~ sQ199_spl
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1201]) ).
fof(f1203,plain,
( sQ199_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1201]) ).
fof(f1204,definition,
( sQ200_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1207,definition,
( sQ201_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1210,definition,
( sQ202_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1229,definition,
( sQ207_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1231,plain,
( sQ207_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1229]) ).
fof(f1232,definition,
( sQ208_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1234,plain,
( sQ208_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f1232]) ).
fof(f1235,definition,
( sQ209_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1237,plain,
( sQ209_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1238,definition,
( sQ210_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1240,plain,
( sQ210_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f1238]) ).
fof(f1241,definition,
( sQ211_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1243,plain,
( sQ211_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f1241]) ).
fof(f1244,definition,
( sQ212_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
( sQ212_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f1244]) ).
fof(f1247,definition,
( sQ213_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1249,plain,
( sQ213_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f1247]) ).
fof(f1250,definition,
( sQ214_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1252,plain,
( sQ214_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1253,definition,
( sQ215_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
( sQ215_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1253]) ).
fof(f1256,definition,
( sQ216_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1258,plain,
( sQ216_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f1256]) ).
fof(f1259,definition,
( sQ217_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1261,plain,
( sQ217_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,definition,
( sQ218_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1264,plain,
( sQ218_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,definition,
( sQ219_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( sQ219_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f1265]) ).
fof(f1268,definition,
( sQ220_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1270,plain,
( sQ220_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1271,definition,
( sQ221_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1272,plain,
( ~ sQ221_spl
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1273,plain,
( sQ221_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,definition,
( sQ222_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1276,plain,
( sQ222_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1277,definition,
( sQ223_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1280,definition,
( sQ224_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1283,definition,
( sQ225_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1298,definition,
( sQ229_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1299,plain,
( ~ sQ229_spl
| h4(e13) = e23 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1300,plain,
( sQ229_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,plain,
( ~ sQ229_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)],[f337,f1229,f1232,f1235,f1238,f1241,f1244,f1247,f1250,f1253,f1256,f1259,f1262,f1265,f1268,f1271,f1274,f1277,f1280,f1283,f1298]) ).
fof(f1302,definition,
( sQ230_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1305,definition,
( sQ231_spl
<=> op1(e10,op1(e12,e10)) = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1306,plain,
( ~ sQ231_spl
| op1(e10,op1(e12,e10)) = op1(e12,e10) ),
inference(component_clause,[status(thm)],[f1305]) ).
fof(f1307,plain,
( sQ231_spl
| op1(e10,op1(e12,e10)) != op1(e12,e10) ),
inference(component_clause,[status(thm)],[f1305]) ).
fof(f1308,plain,
( ~ sQ231_spl
| sQ230_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f341,f938,f1302,f1305]) ).
fof(f1309,definition,
( sQ232_spl
<=> op1(e11,op1(e12,e11)) = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( sQ232_spl
| op1(e11,op1(e12,e11)) != op1(e12,e11) ),
inference(component_clause,[status(thm)],[f1309]) ).
fof(f1312,plain,
( ~ sQ232_spl
| sQ230_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f342,f938,f1302,f1309]) ).
fof(f1313,definition,
( sQ233_spl
<=> op1(e12,op1(e12,e12)) = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1314,plain,
( ~ sQ233_spl
| op1(e12,op1(e12,e12)) = op1(e12,e12) ),
inference(component_clause,[status(thm)],[f1313]) ).
fof(f1315,plain,
( sQ233_spl
| op1(e12,op1(e12,e12)) != op1(e12,e12) ),
inference(component_clause,[status(thm)],[f1313]) ).
fof(f1316,plain,
( ~ sQ233_spl
| sQ230_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f343,f938,f1302,f1313]) ).
fof(f1317,definition,
( sQ234_spl
<=> op1(e13,op1(e12,e13)) = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1318,plain,
( ~ sQ234_spl
| op1(e13,op1(e12,e13)) = op1(e12,e13) ),
inference(component_clause,[status(thm)],[f1317]) ).
fof(f1321,plain,
( ~ sQ230_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f345,f938,f1302]) ).
fof(f1323,definition,
( sQ235_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1326,definition,
( sQ236_spl
<=> op2(e20,op2(e22,e20)) = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1328,plain,
( sQ236_spl
| op2(e20,op2(e22,e20)) != op2(e22,e20) ),
inference(component_clause,[status(thm)],[f1326]) ).
fof(f1329,plain,
( ~ sQ236_spl
| sQ235_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f350,f974,f1323,f1326]) ).
fof(f1330,definition,
( sQ237_spl
<=> op2(e21,op2(e22,e21)) = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1332,plain,
( sQ237_spl
| op2(e21,op2(e22,e21)) != op2(e22,e21) ),
inference(component_clause,[status(thm)],[f1330]) ).
fof(f1333,plain,
( ~ sQ237_spl
| sQ235_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f351,f974,f1323,f1330]) ).
fof(f1334,definition,
( sQ238_spl
<=> op2(e22,op2(e22,e22)) = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1336,plain,
( sQ238_spl
| op2(e22,op2(e22,e22)) != op2(e22,e22) ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1337,plain,
( ~ sQ238_spl
| sQ235_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f352,f974,f1323,f1334]) ).
fof(f1338,definition,
( sQ239_spl
<=> op2(e23,op2(e22,e23)) = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1339,plain,
( ~ sQ239_spl
| op2(e23,op2(e22,e23)) = op2(e22,e23) ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1342,plain,
( ~ sQ235_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f354,f974,f1323]) ).
fof(f1344,definition,
( sQ240_spl
<=> h1(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1345,plain,
( ~ sQ240_spl
| h1(e10) = e20 ),
inference(component_clause,[status(thm)],[f1344]) ).
fof(f1347,plain,
( ~ sQ240_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f357,f1058,f1344]) ).
fof(f1361,definition,
( sQ244_spl
<=> h1(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1362,plain,
( ~ sQ244_spl
| h1(e10) = e21 ),
inference(component_clause,[status(thm)],[f1361]) ).
fof(f1364,plain,
( ~ sQ244_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f363,f1061,f1361]) ).
fof(f1365,definition,
( sQ245_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1366,plain,
( ~ sQ245_spl
| h1(e11) = e21 ),
inference(component_clause,[status(thm)],[f1365]) ).
fof(f1369,definition,
( sQ246_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1370,plain,
( ~ sQ246_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f1369]) ).
fof(f1373,definition,
( sQ247_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1374,plain,
( ~ sQ247_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f1373]) ).
fof(f1377,plain,
( sQ247_spl
| sQ246_spl
| sQ245_spl
| sQ244_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f367,f1061,f1361,f1365,f1369,f1373]) ).
fof(f1378,definition,
( sQ248_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1379,plain,
( ~ sQ248_spl
| h1(e10) = e22 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1382,definition,
( sQ249_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1383,plain,
( ~ sQ249_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f1382]) ).
fof(f1386,definition,
( sQ250_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1387,plain,
( ~ sQ250_spl
| h1(e12) = e22 ),
inference(component_clause,[status(thm)],[f1386]) ).
fof(f1389,plain,
( ~ sQ250_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f371,f1064,f1386]) ).
fof(f1390,definition,
( sQ251_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1391,plain,
( ~ sQ251_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1394,plain,
( sQ251_spl
| sQ250_spl
| sQ249_spl
| sQ248_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f373,f1064,f1378,f1382,f1386,f1390]) ).
fof(f1395,definition,
( sQ252_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1396,plain,
( ~ sQ252_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f1395]) ).
fof(f1397,plain,
( sQ252_spl
| h2(e10) != e20 ),
inference(component_clause,[status(thm)],[f1395]) ).
fof(f1399,definition,
( sQ253_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1400,plain,
( ~ sQ253_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1401,plain,
( sQ253_spl
| h2(e11) != e20 ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1402,plain,
( ~ sQ253_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f376,f1131,f1399]) ).
fof(f1403,definition,
( sQ254_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1404,plain,
( ~ sQ254_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1407,definition,
( sQ255_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1408,plain,
( ~ sQ255_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f1407]) ).
fof(f1412,definition,
( sQ256_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1413,plain,
( ~ sQ256_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f1412]) ).
fof(f1416,definition,
( sQ257_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1417,plain,
( ~ sQ257_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f1416]) ).
fof(f1420,definition,
( sQ258_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1421,plain,
( ~ sQ258_spl
| h2(e12) = e21 ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1422,plain,
( sQ258_spl
| h2(e12) != e21 ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1424,definition,
( sQ259_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1426,plain,
( sQ259_spl
| h2(e13) != e21 ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1427,plain,
( ~ sQ259_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f384,f1134,f1424]) ).
fof(f1429,definition,
( sQ260_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1430,plain,
( ~ sQ260_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1433,definition,
( sQ261_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1434,plain,
( ~ sQ261_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1437,definition,
( sQ262_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( ~ sQ262_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f1437]) ).
fof(f1439,plain,
( sQ262_spl
| h2(e12) != e22 ),
inference(component_clause,[status(thm)],[f1437]) ).
fof(f1441,definition,
( sQ263_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1442,plain,
( ~ sQ263_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f1441]) ).
fof(f1445,plain,
( sQ263_spl
| sQ262_spl
| sQ261_spl
| sQ260_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f391,f1137,f1429,f1433,f1437,f1441]) ).
fof(f1446,definition,
( sQ264_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
( ~ sQ264_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f1446]) ).
fof(f1450,definition,
( sQ265_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f1451,plain,
( ~ sQ265_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1454,definition,
( sQ266_spl
<=> h3(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f1455,plain,
( ~ sQ266_spl
| h3(e12) = e20 ),
inference(component_clause,[status(thm)],[f1454]) ).
fof(f1458,definition,
( sQ267_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f1459,plain,
( ~ sQ267_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1462,plain,
( sQ267_spl
| sQ266_spl
| sQ265_spl
| sQ264_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f397,f1204,f1446,f1450,f1454,f1458]) ).
fof(f1463,definition,
( sQ268_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f1464,plain,
( ~ sQ268_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1467,definition,
( sQ269_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
( ~ sQ269_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1469,plain,
( sQ269_spl
| h3(e11) != e21 ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1470,plain,
( ~ sQ269_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f400,f1207,f1467]) ).
fof(f1471,definition,
( sQ270_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f1472,plain,
( ~ sQ270_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f1471]) ).
fof(f1475,definition,
( sQ271_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f1476,plain,
( ~ sQ271_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1479,plain,
( sQ271_spl
| sQ270_spl
| sQ269_spl
| sQ268_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f403,f1207,f1463,f1467,f1471,f1475]) ).
fof(f1480,definition,
( sQ272_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f1481,plain,
( ~ sQ272_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f1480]) ).
fof(f1482,plain,
( sQ272_spl
| h3(e10) != e22 ),
inference(component_clause,[status(thm)],[f1480]) ).
fof(f1484,definition,
( sQ273_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f1485,plain,
( ~ sQ273_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f1484]) ).
fof(f1486,plain,
( sQ273_spl
| h3(e11) != e22 ),
inference(component_clause,[status(thm)],[f1484]) ).
fof(f1488,definition,
( sQ274_spl
<=> h3(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f1489,plain,
( ~ sQ274_spl
| h3(e12) = e22 ),
inference(component_clause,[status(thm)],[f1488]) ).
fof(f1490,plain,
( sQ274_spl
| h3(e12) != e22 ),
inference(component_clause,[status(thm)],[f1488]) ).
fof(f1492,definition,
( sQ275_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f1494,plain,
( sQ275_spl
| h3(e13) != e22 ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1495,plain,
( ~ sQ275_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f408,f1210,f1492]) ).
fof(f1497,definition,
( sQ276_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f1498,plain,
( ~ sQ276_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f1497]) ).
fof(f1499,plain,
( sQ276_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f1497]) ).
fof(f1500,plain,
( ~ sQ276_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f411,f1277,f1497]) ).
fof(f1501,definition,
( sQ277_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f1502,plain,
( ~ sQ277_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f1501]) ).
fof(f1505,definition,
( sQ278_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f1506,plain,
( ~ sQ278_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f1505]) ).
fof(f1509,definition,
( sQ279_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f1510,plain,
( ~ sQ279_spl
| h4(e13) = e20 ),
inference(component_clause,[status(thm)],[f1509]) ).
fof(f1514,definition,
( sQ280_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( ~ sQ280_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f1514]) ).
fof(f1518,definition,
( sQ281_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f1519,plain,
( ~ sQ281_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f1518]) ).
fof(f1520,plain,
( sQ281_spl
| h4(e11) != e21 ),
inference(component_clause,[status(thm)],[f1518]) ).
fof(f1521,plain,
( ~ sQ281_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f418,f1280,f1518]) ).
fof(f1522,definition,
( sQ282_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f1523,plain,
( ~ sQ282_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f1522]) ).
fof(f1531,definition,
( sQ284_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f1532,plain,
( ~ sQ284_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f1531]) ).
fof(f1535,definition,
( sQ285_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f1536,plain,
( ~ sQ285_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f1535]) ).
fof(f1539,definition,
( sQ286_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
( ~ sQ286_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1541,plain,
( sQ286_spl
| h4(e12) != e22 ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1542,plain,
( ~ sQ286_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f425,f1283,f1539]) ).
fof(f1548,definition,
( sQ288_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f1551,definition,
( sQ289_spl
<=> op1(e10,op1(e11,e10)) = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ289_spl
| op1(e10,op1(e11,e10)) = op1(e11,e10) ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1553,plain,
( sQ289_spl
| op1(e10,op1(e11,e10)) != op1(e11,e10) ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1554,plain,
( ~ sQ289_spl
| sQ288_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f431,f1302,f1548,f1551]) ).
fof(f1555,definition,
( sQ290_spl
<=> op1(e11,op1(e11,e11)) = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f1556,plain,
( ~ sQ290_spl
| op1(e11,op1(e11,e11)) = op1(e11,e11) ),
inference(component_clause,[status(thm)],[f1555]) ).
fof(f1559,definition,
( sQ291_spl
<=> op1(e12,op1(e11,e12)) = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f1560,plain,
( ~ sQ291_spl
| op1(e12,op1(e11,e12)) = op1(e11,e12) ),
inference(component_clause,[status(thm)],[f1559]) ).
fof(f1561,plain,
( sQ291_spl
| op1(e12,op1(e11,e12)) != op1(e11,e12) ),
inference(component_clause,[status(thm)],[f1559]) ).
fof(f1562,plain,
( ~ sQ291_spl
| sQ288_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f433,f1302,f1548,f1559]) ).
fof(f1563,definition,
( sQ292_spl
<=> op1(e13,op1(e11,e13)) = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f1564,plain,
( ~ sQ292_spl
| op1(e13,op1(e11,e13)) = op1(e11,e13) ),
inference(component_clause,[status(thm)],[f1563]) ).
fof(f1568,plain,
( sQ292_spl
| sQ291_spl
| sQ290_spl
| sQ289_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f436,f1302,f1551,f1555,f1559,f1563]) ).
fof(f1569,definition,
( sQ293_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f1572,definition,
( sQ294_spl
<=> op2(e20,op2(e21,e20)) = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f1573,plain,
( ~ sQ294_spl
| op2(e20,op2(e21,e20)) = op2(e21,e20) ),
inference(component_clause,[status(thm)],[f1572]) ).
fof(f1574,plain,
( sQ294_spl
| op2(e20,op2(e21,e20)) != op2(e21,e20) ),
inference(component_clause,[status(thm)],[f1572]) ).
fof(f1575,plain,
( ~ sQ294_spl
| sQ293_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f440,f1323,f1569,f1572]) ).
fof(f1576,definition,
( sQ295_spl
<=> op2(e21,op2(e21,e21)) = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f1577,plain,
( ~ sQ295_spl
| op2(e21,op2(e21,e21)) = op2(e21,e21) ),
inference(component_clause,[status(thm)],[f1576]) ).
fof(f1580,definition,
( sQ296_spl
<=> op2(e22,op2(e21,e22)) = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f1581,plain,
( ~ sQ296_spl
| op2(e22,op2(e21,e22)) = op2(e21,e22) ),
inference(component_clause,[status(thm)],[f1580]) ).
fof(f1582,plain,
( sQ296_spl
| op2(e22,op2(e21,e22)) != op2(e21,e22) ),
inference(component_clause,[status(thm)],[f1580]) ).
fof(f1583,plain,
( ~ sQ296_spl
| sQ293_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f442,f1323,f1569,f1580]) ).
fof(f1584,definition,
( sQ297_spl
<=> op2(e23,op2(e21,e23)) = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f1585,plain,
( ~ sQ297_spl
| op2(e23,op2(e21,e23)) = op2(e21,e23) ),
inference(component_clause,[status(thm)],[f1584]) ).
fof(f1589,plain,
( sQ297_spl
| sQ296_spl
| sQ295_spl
| sQ294_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f445,f1323,f1572,f1576,f1580,f1584]) ).
fof(f1590,definition,
( sQ298_spl
<=> op1(e10,op1(e10,e10)) = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f1592,plain,
( sQ298_spl
| op1(e10,op1(e10,e10)) != op1(e10,e10) ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1593,plain,
( ~ sQ298_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f447,f1548,f1590]) ).
fof(f1594,definition,
( sQ299_spl
<=> op1(e11,op1(e10,e11)) = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f1595,plain,
( ~ sQ299_spl
| op1(e11,op1(e10,e11)) = op1(e10,e11) ),
inference(component_clause,[status(thm)],[f1594]) ).
fof(f1598,definition,
( sQ300_spl
<=> op1(e12,op1(e10,e12)) = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f1600,plain,
( sQ300_spl
| op1(e12,op1(e10,e12)) != op1(e10,e12) ),
inference(component_clause,[status(thm)],[f1598]) ).
fof(f1601,plain,
( ~ sQ300_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f449,f1548,f1598]) ).
fof(f1602,definition,
( sQ301_spl
<=> op1(e13,op1(e10,e13)) = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
( ~ sQ301_spl
| op1(e13,op1(e10,e13)) = op1(e10,e13) ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1607,definition,
( sQ302_spl
<=> op2(e20,op2(e20,e20)) = op2(e20,e20) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f1609,plain,
( sQ302_spl
| op2(e20,op2(e20,e20)) != op2(e20,e20) ),
inference(component_clause,[status(thm)],[f1607]) ).
fof(f1610,plain,
( ~ sQ302_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f453,f1569,f1607]) ).
fof(f1611,definition,
( sQ303_spl
<=> op2(e21,op2(e20,e21)) = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f1612,plain,
( ~ sQ303_spl
| op2(e21,op2(e20,e21)) = op2(e20,e21) ),
inference(component_clause,[status(thm)],[f1611]) ).
fof(f1615,definition,
( sQ304_spl
<=> op2(e22,op2(e20,e22)) = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f1617,plain,
( sQ304_spl
| op2(e22,op2(e20,e22)) != op2(e20,e22) ),
inference(component_clause,[status(thm)],[f1615]) ).
fof(f1618,plain,
( ~ sQ304_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f455,f1569,f1615]) ).
fof(f1619,definition,
( sQ305_spl
<=> op2(e23,op2(e20,e23)) = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f1620,plain,
( ~ sQ305_spl
| op2(e23,op2(e20,e23)) = op2(e20,e23) ),
inference(component_clause,[status(thm)],[f1619]) ).
fof(f1625,plain,
( sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f304,f1300]) ).
fof(f1626,plain,
sQ229_spl,
inference(contradiction_clause,[status(thm)],[f1625]) ).
fof(f1643,plain,
( sQ221_spl
| ~ sQ286_spl
| h4(op1(e13,e12)) != op2(h4(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f1540,f1273]) ).
fof(f1644,plain,
( ~ sQ282_spl
| ~ sQ286_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1540,f1523]) ).
fof(f1645,plain,
( ~ sQ282_spl
| ~ sQ286_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1644,f221]) ).
fof(f1646,plain,
( ~ sQ282_spl
| ~ sQ286_spl ),
inference(contradiction_clause,[status(thm)],[f1645]) ).
fof(f1647,plain,
( ~ sQ281_spl
| ~ sQ285_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1536,f1519]) ).
fof(f1648,plain,
( ~ sQ281_spl
| ~ sQ285_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1647,f221]) ).
fof(f1649,plain,
( ~ sQ281_spl
| ~ sQ285_spl ),
inference(contradiction_clause,[status(thm)],[f1648]) ).
fof(f1656,plain,
( ~ sQ271_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f300,f1476]) ).
fof(f1657,plain,
( ~ sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1656,f221]) ).
fof(f1658,plain,
~ sQ271_spl,
inference(contradiction_clause,[status(thm)],[f1657]) ).
fof(f1660,plain,
( ~ sQ270_spl
| ~ sQ274_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1489,f1472]) ).
fof(f1661,plain,
( ~ sQ270_spl
| ~ sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1660,f221]) ).
fof(f1662,plain,
( ~ sQ270_spl
| ~ sQ274_spl ),
inference(contradiction_clause,[status(thm)],[f1661]) ).
fof(f1663,plain,
( ~ sQ269_spl
| ~ sQ273_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1485,f1468]) ).
fof(f1664,plain,
( ~ sQ269_spl
| ~ sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1663,f221]) ).
fof(f1665,plain,
( ~ sQ269_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f1664]) ).
fof(f1666,plain,
( ~ sQ268_spl
| ~ sQ272_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1481,f1464]) ).
fof(f1667,plain,
( ~ sQ268_spl
| ~ sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1666,f221]) ).
fof(f1668,plain,
( ~ sQ268_spl
| ~ sQ272_spl ),
inference(contradiction_clause,[status(thm)],[f1667]) ).
fof(f1669,plain,
( ~ sQ267_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f300,f1459]) ).
fof(f1670,plain,
( ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1669,f219]) ).
fof(f1671,plain,
~ sQ267_spl,
inference(contradiction_clause,[status(thm)],[f1670]) ).
fof(f1673,plain,
( ~ sQ263_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f296,f1442]) ).
fof(f1674,plain,
( ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1673,f221]) ).
fof(f1675,plain,
~ sQ263_spl,
inference(contradiction_clause,[status(thm)],[f1674]) ).
fof(f1691,plain,
( ~ sQ255_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f296,f1408]) ).
fof(f1692,plain,
( ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1691,f218]) ).
fof(f1693,plain,
~ sQ255_spl,
inference(contradiction_clause,[status(thm)],[f1692]) ).
fof(f1695,plain,
( ~ sQ251_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f292,f1391]) ).
fof(f1696,plain,
( ~ sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1695,f219]) ).
fof(f1697,plain,
~ sQ251_spl,
inference(contradiction_clause,[status(thm)],[f1696]) ).
fof(f1702,plain,
( ~ sQ247_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f292,f1374]) ).
fof(f1703,plain,
( ~ sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1702,f218]) ).
fof(f1704,plain,
~ sQ247_spl,
inference(contradiction_clause,[status(thm)],[f1703]) ).
fof(f1706,plain,
( ~ sQ246_spl
| ~ sQ250_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1387,f1370]) ).
fof(f1707,plain,
( ~ sQ246_spl
| ~ sQ250_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1706,f221]) ).
fof(f1708,plain,
( ~ sQ246_spl
| ~ sQ250_spl ),
inference(contradiction_clause,[status(thm)],[f1707]) ).
fof(f1715,plain,
( ~ sQ279_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1510,f304]) ).
fof(f1716,plain,
( ~ sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1715,f220]) ).
fof(f1717,plain,
~ sQ279_spl,
inference(contradiction_clause,[status(thm)],[f1716]) ).
fof(f1726,plain,
( ~ sQ286_spl
| ~ sQ278_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1506,f1540]) ).
fof(f1727,plain,
( ~ sQ286_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1726,f219]) ).
fof(f1728,plain,
( ~ sQ286_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f1727]) ).
fof(f1732,plain,
( sQ218_spl
| ~ sQ229_spl
| h4(op1(e12,e13)) != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f1299,f1264]) ).
fof(f1733,plain,
( ~ sQ284_spl
| ~ sQ276_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1498,f1532]) ).
fof(f1734,plain,
( ~ sQ284_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1733,f219]) ).
fof(f1735,plain,
( ~ sQ284_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f1734]) ).
fof(f1745,plain,
( ~ sQ269_spl
| ~ sQ265_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1451,f1468]) ).
fof(f1746,plain,
( ~ sQ269_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1745,f218]) ).
fof(f1747,plain,
( ~ sQ269_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f1746]) ).
fof(f1754,plain,
( ~ sQ261_spl
| ~ sQ253_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1400,f1434]) ).
fof(f1755,plain,
( ~ sQ261_spl
| ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1754,f219]) ).
fof(f1756,plain,
( ~ sQ261_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f1755]) ).
fof(f1757,plain,
( ~ sQ260_spl
| ~ sQ252_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1396,f1430]) ).
fof(f1758,plain,
( ~ sQ260_spl
| ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1757,f219]) ).
fof(f1759,plain,
( ~ sQ260_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f1758]) ).
fof(f1761,plain,
( ~ sQ258_spl
| ~ sQ254_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1404,f1421]) ).
fof(f1762,plain,
( ~ sQ258_spl
| ~ sQ254_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1761,f218]) ).
fof(f1763,plain,
( ~ sQ258_spl
| ~ sQ254_spl ),
inference(contradiction_clause,[status(thm)],[f1762]) ).
fof(f1779,plain,
( ~ sQ264_spl
| ~ sQ272_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1481,f1447]) ).
fof(f1780,plain,
( ~ sQ264_spl
| ~ sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1779,f219]) ).
fof(f1781,plain,
( ~ sQ264_spl
| ~ sQ272_spl ),
inference(contradiction_clause,[status(thm)],[f1780]) ).
fof(f1782,plain,
( ~ sQ274_spl
| ~ sQ266_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1455,f1489]) ).
fof(f1783,plain,
( ~ sQ274_spl
| ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1782,f219]) ).
fof(f1784,plain,
( ~ sQ274_spl
| ~ sQ266_spl ),
inference(contradiction_clause,[status(thm)],[f1783]) ).
fof(f1793,plain,
( ~ sQ273_spl
| ~ sQ265_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1451,f1485]) ).
fof(f1794,plain,
( ~ sQ273_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1793,f219]) ).
fof(f1795,plain,
( ~ sQ273_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f1794]) ).
fof(f1796,plain,
( sQ275_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f300,f1494]) ).
fof(f1797,plain,
( sQ275_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1796]) ).
fof(f1798,plain,
sQ275_spl,
inference(contradiction_clause,[status(thm)],[f1797]) ).
fof(f1801,plain,
op1(e12,e13) != e11,
inference(backward_demodulation,[status(thm)],[f287,f139]) ).
fof(f1803,plain,
op1(e10,e13) != e11,
inference(backward_demodulation,[status(thm)],[f287,f136]) ).
fof(f1805,plain,
op1(e13,e10) != e11,
inference(forward_demodulation,[status(thm)],[f287,f160]) ).
fof(f1819,plain,
( ~ sQ55_spl
| op1(e13,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f637,f158]) ).
fof(f1820,plain,
( ~ sQ55_spl
| op1(e12,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f637,f127]) ).
fof(f1821,plain,
( ~ sQ55_spl
| op1(e11,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f637,f126]) ).
fof(f1822,plain,
( ~ sQ55_spl
| op1(e10,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f637,f124]) ).
fof(f1830,plain,
( ~ sQ46_spl
| op1(e12,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f608,f154]) ).
fof(f1832,plain,
( ~ sQ46_spl
| op1(e10,e13) != e12 ),
inference(backward_demodulation,[status(thm)],[f608,f135]) ).
fof(f1837,plain,
( ~ sQ281_spl
| ~ sQ277_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1502,f1519]) ).
fof(f1838,plain,
( ~ sQ281_spl
| ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1837,f218]) ).
fof(f1839,plain,
( ~ sQ281_spl
| ~ sQ277_spl ),
inference(contradiction_clause,[status(thm)],[f1838]) ).
fof(f1840,plain,
( sQ214_spl
| ~ sQ229_spl
| h4(op1(e11,e13)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f1299,f1252]) ).
fof(f1841,plain,
( ~ sQ55_spl
| e13 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f637,f161]) ).
fof(f1842,plain,
( ~ sQ55_spl
| ~ sQ59_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f650,f1841]) ).
fof(f1843,plain,
( ~ sQ55_spl
| ~ sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1842]) ).
fof(f1844,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1843]) ).
fof(f1851,plain,
( ~ sQ280_spl
| ~ sQ276_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1498,f1515]) ).
fof(f1852,plain,
( ~ sQ280_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1851,f218]) ).
fof(f1853,plain,
( ~ sQ280_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f1852]) ).
fof(f1859,plain,
( sQ61_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f287,f658]) ).
fof(f1860,plain,
( sQ61_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1859]) ).
fof(f1861,plain,
sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1860]) ).
fof(f1862,plain,
( ~ sQ55_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1819,f623,f636]) ).
fof(f1863,plain,
( ~ sQ60_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f287,f654]) ).
fof(f1864,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1863,f212]) ).
fof(f1865,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1864]) ).
fof(f1868,plain,
( ~ sQ81_spl
| op2(e20,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f754,f164]) ).
fof(f1870,plain,
( sQ210_spl
| ~ sQ229_spl
| h4(op1(e10,e13)) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f1299,f1240]) ).
fof(f1871,plain,
( ~ sQ38_spl
| e12 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f582,f155]) ).
fof(f1874,plain,
( ~ sQ38_spl
| op1(e10,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f582,f123]) ).
fof(f1881,plain,
( ~ sQ29_spl
| op1(e11,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f553,f148]) ).
fof(f1884,plain,
( ~ sQ25_spl
| op1(e11,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f540,f147]) ).
fof(f1887,plain,
( sQ211_spl
| ~ sQ17_spl
| h4(e11) != op2(h4(e11),h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f514,f1243]) ).
fof(f1888,plain,
( ~ sQ17_spl
| e11 != op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f514,f146]) ).
fof(f1892,plain,
( ~ sQ12_spl
| op1(e10,e11) != e10 ),
inference(backward_demodulation,[status(thm)],[f498,f144]) ).
fof(f1893,plain,
( ~ sQ12_spl
| op1(e10,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f498,f142]) ).
fof(f1895,plain,
( ~ sQ8_spl
| op1(e10,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f485,f141]) ).
fof(f1897,plain,
( ~ sQ4_spl
| op1(e10,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f472,f140]) ).
fof(f1900,plain,
( ~ sQ81_spl
| e21 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f754,f167]) ).
fof(f1902,plain,
( ~ sQ127_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f290,f903]) ).
fof(f1903,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1902,f222]) ).
fof(f1904,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f1903]) ).
fof(f1909,plain,
( ~ sQ63_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f287,f663]) ).
fof(f1910,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1909,f216]) ).
fof(f1911,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1910]) ).
fof(f1913,plain,
( ~ sQ111_spl
| ~ sQ110_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f848,f851]) ).
fof(f1914,plain,
( ~ sQ111_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1913,f223]) ).
fof(f1915,plain,
( ~ sQ111_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f1914]) ).
fof(f1921,plain,
( ~ sQ107_spl
| ~ sQ106_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f835,f838]) ).
fof(f1922,plain,
( ~ sQ107_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1921,f223]) ).
fof(f1923,plain,
( ~ sQ107_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f1922]) ).
fof(f1930,plain,
( ~ sQ98_spl
| e22 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f809,f169]) ).
fof(f1932,plain,
( ~ sQ68_spl
| e20 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f712,f170]) ).
fof(f1939,plain,
( ~ sQ76_spl
| ~ sQ78_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f744,f738]) ).
fof(f1940,plain,
( ~ sQ76_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1939,f219]) ).
fof(f1941,plain,
( ~ sQ76_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1940]) ).
fof(f1942,plain,
( ~ sQ126_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f290,f900]) ).
fof(f1943,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1942,f221]) ).
fof(f1944,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f1943]) ).
fof(f1946,plain,
( ~ sQ118_spl
| ~ sQ119_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f877,f874]) ).
fof(f1947,plain,
( ~ sQ118_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1946,f223]) ).
fof(f1948,plain,
( ~ sQ118_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f1947]) ).
fof(f1949,plain,
( sQ125_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f290,f898]) ).
fof(f1950,plain,
( sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1949]) ).
fof(f1951,plain,
sQ125_spl,
inference(contradiction_clause,[status(thm)],[f1950]) ).
fof(f1970,plain,
( ~ sQ120_spl
| ~ sQ121_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f884,f881]) ).
fof(f1971,plain,
( ~ sQ120_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1970,f218]) ).
fof(f1972,plain,
( ~ sQ120_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f1971]) ).
fof(f1979,plain,
( ~ sQ91_spl
| ~ sQ89_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f780,f786]) ).
fof(f1980,plain,
( ~ sQ91_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1979,f222]) ).
fof(f1981,plain,
( ~ sQ91_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1980]) ).
fof(f1994,plain,
( ~ sQ103_spl
| ~ sQ102_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f822,f825]) ).
fof(f1995,plain,
( ~ sQ103_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1994,f223]) ).
fof(f1996,plain,
( ~ sQ103_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f1995]) ).
fof(f1997,plain,
( sQ207_spl
| ~ sQ0_spl
| h4(e10) != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f459,f1231]) ).
fof(f1998,plain,
( sQ199_spl
| h3(e11) != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f287,f1203]) ).
fof(f1999,plain,
( sQ199_spl
| h3(e11) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f300,f1998]) ).
fof(f2000,plain,
( sQ199_spl
| h3(e11) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f300,f1999]) ).
fof(f2002,plain,
( sQ197_spl
| h3(op1(e13,e11)) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f300,f1197]) ).
fof(f2003,plain,
( sQ196_spl
| h3(op1(e13,e10)) != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f300,f1194]) ).
fof(f2004,plain,
( ~ sQ73_spl
| ~ sQ74_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f731,f728]) ).
fof(f2005,plain,
( ~ sQ73_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2004,f221]) ).
fof(f2006,plain,
( ~ sQ73_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2005]) ).
fof(f2016,plain,
( ~ sQ103_spl
| ~ sQ101_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f819,f825]) ).
fof(f2017,plain,
( ~ sQ103_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2016,f222]) ).
fof(f2018,plain,
( ~ sQ103_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f2017]) ).
fof(f2026,plain,
( ~ sQ83_spl
| ~ sQ81_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f754,f760]) ).
fof(f2027,plain,
( ~ sQ83_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2026,f222]) ).
fof(f2028,plain,
( ~ sQ83_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f2027]) ).
fof(f2030,plain,
( ~ sQ69_spl
| ~ sQ70_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f718,f715]) ).
fof(f2031,plain,
( ~ sQ69_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2030,f221]) ).
fof(f2032,plain,
( ~ sQ69_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f2031]) ).
fof(f2033,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f757,f754]) ).
fof(f2034,plain,
( ~ sQ81_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2033,f221]) ).
fof(f2035,plain,
( ~ sQ81_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2034]) ).
fof(f2036,plain,
( ~ sQ99_spl
| ~ sQ96_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f803,f812]) ).
fof(f2037,plain,
( ~ sQ99_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2036,f220]) ).
fof(f2038,plain,
( ~ sQ99_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f2037]) ).
fof(f2040,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f608,f611]) ).
fof(f2041,plain,
( ~ sQ47_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2040,f217]) ).
fof(f2042,plain,
( ~ sQ47_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2041]) ).
fof(f2043,plain,
( ~ sQ42_spl
| e12 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f595,f157]) ).
fof(f2044,plain,
( ~ sQ38_spl
| e12 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f582,f156]) ).
fof(f2047,plain,
( ~ sQ12_spl
| e10 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f498,f135]) ).
fof(f2057,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f498,f507]) ).
fof(f2058,plain,
( ~ sQ15_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2057,f214]) ).
fof(f2059,plain,
( ~ sQ15_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f2058]) ).
fof(f2068,plain,
( ~ sQ42_spl
| op1(e11,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f595,f131]) ).
fof(f2089,plain,
( sQ196_spl
| ~ sQ50_spl
| h3(e12) != op2(e22,h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f621,f2003]) ).
fof(f2096,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f459,f1897]) ).
fof(f2097,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2096]) ).
fof(f2098,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2097]) ).
fof(f2112,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f556,f550]) ).
fof(f2113,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2112,f213]) ).
fof(f2114,plain,
( ~ sQ28_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f2113]) ).
fof(f2121,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f569,f572]) ).
fof(f2122,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2121,f217]) ).
fof(f2123,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f2122]) ).
fof(f2125,plain,
( ~ sQ17_spl
| e11 != op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f514,f119]) ).
fof(f2126,plain,
( ~ sQ38_spl
| ~ sQ42_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f595,f1871]) ).
fof(f2127,plain,
( ~ sQ38_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2126]) ).
fof(f2128,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2127]) ).
fof(f2134,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f546,f543]) ).
fof(f2135,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2134,f217]) ).
fof(f2136,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2135]) ).
fof(f2137,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f494,f491]) ).
fof(f2138,plain,
( ~ sQ10_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2137,f217]) ).
fof(f2139,plain,
( ~ sQ10_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2138]) ).
fof(f2140,plain,
op2(e20,e23) != e21,
inference(forward_demodulation,[status(thm)],[f290,f184]) ).
fof(f2141,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f579,f576]) ).
fof(f2142,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2141,f212]) ).
fof(f2143,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2142]) ).
fof(f2149,plain,
( ~ sQ38_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2044,f607,f581]) ).
fof(f2151,plain,
( ~ sQ46_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1830,f568,f607]) ).
fof(f2152,plain,
( ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1895,f458,f484]) ).
fof(f2159,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f514,f520]) ).
fof(f2160,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2159,f216]) ).
fof(f2161,plain,
( ~ sQ19_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2160]) ).
fof(f2165,plain,
( ~ sQ17_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1888,f526,f513]) ).
fof(f2166,plain,
( ~ sQ17_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2125,f565,f513]) ).
fof(f2167,plain,
( ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1892,f471,f497]) ).
fof(f2168,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f478,f475]) ).
fof(f2169,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2168,f215]) ).
fof(f2170,plain,
( ~ sQ5_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2169]) ).
fof(f2171,plain,
( ~ sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1893,f458,f497]) ).
fof(f2172,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f2043,f607,f594]) ).
fof(f2173,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f2068,f542,f594]) ).
fof(f2177,plain,
( ~ sQ46_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1832,f503,f607]) ).
fof(f2178,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f641,f647]) ).
fof(f2179,plain,
( ~ sQ58_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2178,f213]) ).
fof(f2180,plain,
( ~ sQ58_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2179]) ).
fof(f2191,plain,
op2(e21,e23) != e21,
inference(forward_demodulation,[status(thm)],[f290,f186]) ).
fof(f2192,plain,
op2(e22,e23) != e21,
inference(forward_demodulation,[status(thm)],[f290,f187]) ).
fof(f2194,plain,
( sQ197_spl
| ~ sQ55_spl
| h3(e13) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f637,f2002]) ).
fof(f2195,plain,
( sQ197_spl
| ~ sQ55_spl
| e22 != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f300,f2194]) ).
fof(f2196,plain,
( ~ sQ119_spl
| op2(e21,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f877,f174]) ).
fof(f2197,plain,
( ~ sQ119_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f2196,f772,f876]) ).
fof(f2198,plain,
( ~ sQ81_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f1868,f701,f753]) ).
fof(f2199,plain,
( ~ sQ81_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f1900,f805,f753]) ).
fof(f2200,plain,
( ~ sQ81_spl
| ~ sQ80_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f751,f754]) ).
fof(f2201,plain,
( ~ sQ81_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2200,f218]) ).
fof(f2202,plain,
( ~ sQ81_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f2201]) ).
fof(f2203,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f741,f2140]) ).
fof(f2204,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f2203]) ).
fof(f2205,plain,
( ~ sQ116_spl
| ~ sQ119_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f877,f868]) ).
fof(f2206,plain,
( ~ sQ116_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2205,f220]) ).
fof(f2207,plain,
( ~ sQ116_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f2206]) ).
fof(f2210,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f845,f2192]) ).
fof(f2211,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f2210]) ).
fof(f2212,plain,
( ~ sQ117_spl
| ~ sQ119_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f877,f871]) ).
fof(f2213,plain,
( ~ sQ117_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2212,f222]) ).
fof(f2214,plain,
( ~ sQ117_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f2213]) ).
fof(f2217,plain,
( ~ sQ68_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1932,f763,f711]) ).
fof(f2222,plain,
( ~ sQ120_spl
| op2(e21,e22) != e20 ),
inference(backward_demodulation,[status(thm)],[f881,f180]) ).
fof(f2223,plain,
( ~ sQ120_spl
| op2(e20,e22) != e20 ),
inference(backward_demodulation,[status(thm)],[f881,f178]) ).
fof(f2225,plain,
( ~ sQ120_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2222,f776,f880]) ).
fof(f2232,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f881,f887]) ).
fof(f2233,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2232,f219]) ).
fof(f2234,plain,
( ~ sQ122_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f2233]) ).
fof(f2247,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f559,f550]) ).
fof(f2248,plain,
( ~ sQ28_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2247,f214]) ).
fof(f2249,plain,
( ~ sQ28_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2248]) ).
fof(f2252,plain,
( ~ sQ23_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f1821]) ).
fof(f2253,plain,
( ~ sQ23_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2252]) ).
fof(f2255,plain,
( ~ sQ7_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f1822]) ).
fof(f2256,plain,
( ~ sQ7_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2255]) ).
fof(f2257,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f1805]) ).
fof(f2258,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f2257]) ).
fof(f2260,plain,
( ~ sQ25_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1884,f513,f539]) ).
fof(f2262,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f637,f634]) ).
fof(f2263,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2262,f217]) ).
fof(f2264,plain,
( ~ sQ54_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2263]) ).
fof(f2265,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f637,f628]) ).
fof(f2266,plain,
( ~ sQ52_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2265,f214]) ).
fof(f2267,plain,
( ~ sQ52_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2266]) ).
fof(f2270,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f637,f631]) ).
fof(f2271,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2270,f216]) ).
fof(f2272,plain,
( ~ sQ53_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2271]) ).
fof(f2273,plain,
( ~ sQ29_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f1881,f513,f552]) ).
fof(f2275,plain,
( ~ sQ39_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f585,f1820]) ).
fof(f2276,plain,
( ~ sQ39_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2275]) ).
fof(f2281,plain,
( sQ210_spl
| ~ sQ229_spl
| ~ sQ15_spl
| h4(e13) != op2(h4(e10),e23) ),
inference(backward_demodulation,[status(thm)],[f507,f1870]) ).
fof(f2282,plain,
( sQ210_spl
| ~ sQ229_spl
| ~ sQ15_spl
| e23 != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f1299,f2281]) ).
fof(f2286,plain,
( ~ sQ95_spl
| op2(e20,e23) != e23 ),
inference(backward_demodulation,[status(thm)],[f799,f182]) ).
fof(f2287,plain,
( ~ sQ112_spl
| ~ sQ114_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f861,f855]) ).
fof(f2288,plain,
( ~ sQ112_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2287,f219]) ).
fof(f2289,plain,
( ~ sQ112_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f2288]) ).
fof(f2292,plain,
( ~ sQ124_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f290,f894]) ).
fof(f2293,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2292,f218]) ).
fof(f2294,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f2293]) ).
fof(f2295,plain,
( ~ sQ94_spl
| ~ sQ95_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f799,f796]) ).
fof(f2296,plain,
( ~ sQ94_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2295,f223]) ).
fof(f2297,plain,
( ~ sQ94_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f2296]) ).
fof(f2298,plain,
( ~ sQ105_spl
| op2(e21,e22) != e21 ),
inference(backward_demodulation,[status(thm)],[f832,f179]) ).
fof(f2299,plain,
( ~ sQ105_spl
| op2(e20,e22) != e21 ),
inference(backward_demodulation,[status(thm)],[f832,f177]) ).
fof(f2301,plain,
( ~ sQ105_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f2299,f727,f831]) ).
fof(f2306,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f602,f611]) ).
fof(f2307,plain,
( ~ sQ47_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2306,f214]) ).
fof(f2308,plain,
( ~ sQ47_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f2307]) ).
fof(f2309,plain,
( ~ sQ32_spl
| ~ sQ35_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f572,f563]) ).
fof(f2310,plain,
( ~ sQ32_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2309,f214]) ).
fof(f2311,plain,
( ~ sQ32_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2310]) ).
fof(f2323,plain,
( ~ sQ38_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1874,f477,f581]) ).
fof(f2324,plain,
( ~ sQ95_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f2286,f746,f798]) ).
fof(f2325,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2047,f601,f497]) ).
fof(f2326,plain,
( ~ sQ110_spl
| ~ sQ108_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f842,f848]) ).
fof(f2327,plain,
( ~ sQ110_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2326,f219]) ).
fof(f2328,plain,
( ~ sQ110_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f2327]) ).
fof(f2329,plain,
( ~ sQ105_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f2298,f779,f831]) ).
fof(f2341,plain,
( ~ sQ120_spl
| ~ sQ123_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f890,f881]) ).
fof(f2342,plain,
( ~ sQ120_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2341,f220]) ).
fof(f2343,plain,
( ~ sQ120_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f2342]) ).
fof(f2344,plain,
( ~ sQ114_spl
| ~ sQ113_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f858,f861]) ).
fof(f2345,plain,
( ~ sQ114_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2344,f221]) ).
fof(f2346,plain,
( ~ sQ114_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f2345]) ).
fof(f2347,plain,
( ~ sQ119_spl
| op2(e23,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f877,f206]) ).
fof(f2354,plain,
( ~ sQ92_spl
| op2(e21,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f790,f198]) ).
fof(f2371,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f576,f582]) ).
fof(f2372,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2371,f213]) ).
fof(f2373,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f2372]) ).
fof(f2375,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f1803]) ).
fof(f2376,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f2375]) ).
fof(f2377,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f605,f1801]) ).
fof(f2378,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f2377]) ).
fof(f2385,plain,
( ~ sQ64_spl
| e20 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f699,f190]) ).
fof(f2388,plain,
( ~ sQ64_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f2385,f737,f698]) ).
fof(f2394,plain,
e10 = op1(e11,op1(e13,e13)),
inference(forward_demodulation,[status(thm)],[f287,f286]) ).
fof(f2395,plain,
e10 = op1(e11,e11),
inference(forward_demodulation,[status(thm)],[f287,f2394]) ).
fof(f2399,plain,
( ~ sQ75_spl
| e23 != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f734,f176]) ).
fof(f2401,plain,
( ~ sQ75_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f2399,f785,f733]) ).
fof(f2403,plain,
( ~ sQ120_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f2223,f724,f880]) ).
fof(f2404,plain,
( ~ sQ92_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f2354,f763,f789]) ).
fof(f2422,plain,
e12 = op1(e13,op1(e11,op1(e13,e13))),
inference(forward_demodulation,[status(thm)],[f287,f288]) ).
fof(f2423,plain,
e12 = op1(e13,op1(e11,e11)),
inference(forward_demodulation,[status(thm)],[f287,f2422]) ).
fof(f2424,plain,
e12 = op1(e13,e10),
inference(forward_demodulation,[status(thm)],[f2395,f2423]) ).
fof(f2425,plain,
( ~ sQ48_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f615,f2424]) ).
fof(f2426,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2425,f213]) ).
fof(f2427,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f2426]) ).
fof(f2431,plain,
e20 = op2(e21,op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f290,f289]) ).
fof(f2434,plain,
e20 = op2(e21,e21),
inference(forward_demodulation,[status(thm)],[f290,f2431]) ).
fof(f2435,plain,
e22 = op2(e23,op2(e21,op2(e23,e23))),
inference(forward_demodulation,[status(thm)],[f290,f291]) ).
fof(f2436,plain,
e22 = op2(e23,op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f290,f2435]) ).
fof(f2437,plain,
e22 = op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f2434,f2436]) ).
fof(f2441,plain,
( ~ sQ249_spl
| e22 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1383,f294]) ).
fof(f2458,plain,
( ~ sQ252_spl
| e20 = op2(op2(e21,e21),op2(e21,e21)) ),
inference(forward_demodulation,[status(thm)],[f1396,f297]) ).
fof(f2459,plain,
( ~ sQ252_spl
| e20 = op2(e20,op2(e21,e21)) ),
inference(forward_demodulation,[status(thm)],[f2434,f2458]) ).
fof(f2460,plain,
( ~ sQ252_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2434,f2459]) ).
fof(f2461,plain,
( ~ sQ252_spl
| ~ sQ249_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2441,f2460]) ).
fof(f2462,plain,
( ~ sQ252_spl
| ~ sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2461,f219]) ).
fof(f2463,plain,
( ~ sQ252_spl
| ~ sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f2462]) ).
fof(f2465,plain,
h2(e10) = op2(e20,op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f2434,f297]) ).
fof(f2466,plain,
h2(e10) = op2(e20,e20),
inference(forward_demodulation,[status(thm)],[f2434,f2465]) ).
fof(f2467,plain,
( ~ sQ253_spl
| ~ sQ257_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1417,f1400]) ).
fof(f2468,plain,
( ~ sQ253_spl
| ~ sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2467,f218]) ).
fof(f2469,plain,
( ~ sQ253_spl
| ~ sQ257_spl ),
inference(contradiction_clause,[status(thm)],[f2468]) ).
fof(f2470,plain,
h2(e11) = e20,
inference(forward_demodulation,[status(thm)],[f2434,f298]) ).
fof(f2471,plain,
( sQ187_spl
| ~ sQ15_spl
| h3(e13) != op2(h3(e10),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f507,f1167]) ).
fof(f2472,plain,
( sQ187_spl
| ~ sQ15_spl
| e22 != op2(h3(e10),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f300,f2471]) ).
fof(f2473,plain,
( sQ187_spl
| ~ sQ15_spl
| e22 != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f300,f2472]) ).
fof(f2478,plain,
( sQ253_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2470,f1401]) ).
fof(f2479,plain,
( sQ253_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2478]) ).
fof(f2480,plain,
sQ253_spl,
inference(contradiction_clause,[status(thm)],[f2479]) ).
fof(f2481,plain,
h2(e12) = op2(e21,op2(e20,op2(e21,e21))),
inference(forward_demodulation,[status(thm)],[f2434,f299]) ).
fof(f2482,plain,
h2(e12) = op2(e21,op2(e20,e20)),
inference(forward_demodulation,[status(thm)],[f2434,f2481]) ).
fof(f2499,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f488,f491]) ).
fof(f2500,plain,
( ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2499,f215]) ).
fof(f2501,plain,
( ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f2500]) ).
fof(f2503,plain,
( sQ20_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f2395,f525]) ).
fof(f2504,plain,
( sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2503]) ).
fof(f2505,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f2504]) ).
fof(f2507,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f507,f504]) ).
fof(f2508,plain,
( ~ sQ14_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2507,f217]) ).
fof(f2509,plain,
( ~ sQ14_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2508]) ).
fof(f2510,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f559,f556]) ).
fof(f2511,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2510,f217]) ).
fof(f2512,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f2511]) ).
fof(f2513,plain,
( sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f302,f2000]) ).
fof(f2514,plain,
sQ199_spl,
inference(contradiction_clause,[status(thm)],[f2513]) ).
fof(f2515,plain,
( ~ sQ199_spl
| h3(e11) = op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f287,f1202]) ).
fof(f2516,plain,
( ~ sQ199_spl
| h3(e11) = op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f300,f2515]) ).
fof(f2517,plain,
( ~ sQ199_spl
| h3(e11) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f300,f2516]) ).
fof(f2518,plain,
h3(e12) = op2(e22,h3(e10)),
inference(forward_demodulation,[status(thm)],[f301,f303]) ).
fof(f2519,plain,
h4(e10) = op2(e21,op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f290,f305]) ).
fof(f2520,plain,
h4(e10) = op2(e21,e21),
inference(forward_demodulation,[status(thm)],[f290,f2519]) ).
fof(f2521,plain,
h4(e10) = e20,
inference(forward_demodulation,[status(thm)],[f2434,f2520]) ).
fof(f2522,plain,
( sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2521,f1499]) ).
fof(f2523,plain,
sQ276_spl,
inference(contradiction_clause,[status(thm)],[f2522]) ).
fof(f2524,plain,
( sQ210_spl
| ~ sQ229_spl
| ~ sQ15_spl
| ~ sQ276_spl
| e23 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f1498,f2282]) ).
fof(f2528,plain,
( ~ sQ199_spl
| h3(e10) = op2(op2(e22,e22),h3(e11)) ),
inference(backward_demodulation,[status(thm)],[f2517,f301]) ).
fof(f2531,plain,
( ~ sQ199_spl
| op2(e22,e21) != h3(e11) ),
inference(backward_demodulation,[status(thm)],[f2517,f203]) ).
fof(f2533,plain,
( ~ sQ199_spl
| h3(e10) = op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2517,f2528]) ).
fof(f2534,plain,
( ~ sQ106_spl
| ~ sQ199_spl
| h3(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f2517,f835]) ).
fof(f2535,plain,
( ~ sQ106_spl
| ~ sQ199_spl
| sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2534,f1486]) ).
fof(f2536,plain,
( ~ sQ106_spl
| ~ sQ199_spl
| sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f2535]) ).
fof(f2538,plain,
( ~ sQ85_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2434,f767]) ).
fof(f2539,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2538,f218]) ).
fof(f2540,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f2539]) ).
fof(f2544,plain,
( ~ sQ119_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f2347,f863,f876]) ).
fof(f2548,plain,
( sQ84_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2434,f765]) ).
fof(f2549,plain,
( sQ84_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2548]) ).
fof(f2550,plain,
sQ84_spl,
inference(contradiction_clause,[status(thm)],[f2549]) ).
fof(f2552,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f793,f2191]) ).
fof(f2553,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f2552]) ).
fof(f2555,plain,
( ~ sQ199_spl
| ~ sQ106_spl
| e22 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f2534,f2517]) ).
fof(f2556,plain,
( sQ197_spl
| ~ sQ55_spl
| ~ sQ106_spl
| ~ sQ199_spl
| e22 != op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f2534,f2195]) ).
fof(f2560,plain,
( sQ197_spl
| ~ sQ55_spl
| ~ sQ199_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f2556,f834,f1201,f636,f1195]) ).
fof(f2561,plain,
( ~ sQ197_spl
| ~ sQ55_spl
| h3(e13) = op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f637,f1196]) ).
fof(f2562,plain,
( ~ sQ197_spl
| ~ sQ55_spl
| e22 = op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f300,f2561]) ).
fof(f2563,plain,
( ~ sQ197_spl
| ~ sQ55_spl
| e22 = op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f300,f2562]) ).
fof(f2565,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f290,f306]) ).
fof(f2566,plain,
( sQ281_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2565,f1520]) ).
fof(f2567,plain,
sQ281_spl,
inference(contradiction_clause,[status(thm)],[f2566]) ).
fof(f2568,plain,
h4(e12) = op2(e23,op2(e21,op2(e23,e23))),
inference(forward_demodulation,[status(thm)],[f290,f307]) ).
fof(f2569,plain,
h4(e12) = op2(e23,op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f290,f2568]) ).
fof(f2570,plain,
h4(e12) = op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f2434,f2569]) ).
fof(f2575,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f641,f644]) ).
fof(f2576,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2575,f212]) ).
fof(f2577,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2576]) ).
fof(f2582,plain,
( sQ176_spl
| h2(e11) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f287,f1130]) ).
fof(f2583,plain,
( sQ176_spl
| e20 != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2470,f2582]) ).
fof(f2584,plain,
( sQ176_spl
| e20 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f296,f2583]) ).
fof(f2585,plain,
( sQ176_spl
| e20 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f296,f2584]) ).
fof(f2586,plain,
( sQ176_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2434,f2585]) ).
fof(f2587,plain,
( sQ176_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2586]) ).
fof(f2588,plain,
sQ176_spl,
inference(contradiction_clause,[status(thm)],[f2587]) ).
fof(f2594,plain,
( ~ sQ199_spl
| ~ sQ106_spl
| op2(e22,e21) != e22 ),
inference(forward_demodulation,[status(thm)],[f2534,f2531]) ).
fof(f2602,plain,
( sQ174_spl
| ~ sQ55_spl
| h2(e13) != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f637,f1124]) ).
fof(f2603,plain,
( sQ174_spl
| ~ sQ55_spl
| e21 != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f296,f2602]) ).
fof(f2604,plain,
( sQ174_spl
| ~ sQ55_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f296,f2603]) ).
fof(f2605,plain,
( sQ174_spl
| ~ sQ55_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2470,f2604]) ).
fof(f2610,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f579,f582]) ).
fof(f2611,plain,
( ~ sQ38_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2610,f215]) ).
fof(f2612,plain,
( ~ sQ38_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f2611]) ).
fof(f2629,plain,
( sQ196_spl
| ~ sQ50_spl
| h3(e12) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f2518,f2089]) ).
fof(f2630,plain,
( sQ196_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2629]) ).
fof(f2631,plain,
( sQ196_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f2630]) ).
fof(f2634,plain,
( sQ211_spl
| ~ sQ17_spl
| e21 != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2565,f1887]) ).
fof(f2635,plain,
( sQ211_spl
| ~ sQ17_spl
| e21 != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2565,f2634]) ).
fof(f2636,plain,
( sQ211_spl
| ~ sQ17_spl
| ~ sQ276_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1498,f2635]) ).
fof(f2637,plain,
( sQ207_spl
| ~ sQ0_spl
| ~ sQ276_spl
| e20 != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1498,f1997]) ).
fof(f2638,plain,
( sQ207_spl
| ~ sQ0_spl
| ~ sQ276_spl
| e20 != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1498,f2637]) ).
fof(f2639,plain,
( sQ207_spl
| ~ sQ0_spl
| ~ sQ276_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1498,f2638]) ).
fof(f2652,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f514,f517]) ).
fof(f2653,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2652,f215]) ).
fof(f2654,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2653]) ).
fof(f2657,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f514,f511]) ).
fof(f2658,plain,
( ~ sQ16_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2657,f212]) ).
fof(f2659,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2658]) ).
fof(f2665,plain,
e22 = h4(e12),
inference(forward_demodulation,[status(thm)],[f2570,f2437]) ).
fof(f2666,plain,
( sQ286_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2665,f1541]) ).
fof(f2667,plain,
sQ286_spl,
inference(contradiction_clause,[status(thm)],[f2666]) ).
fof(f2668,plain,
( sQ221_spl
| ~ sQ286_spl
| ~ sQ56_spl
| h4(e10) != op2(h4(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f641,f1643]) ).
fof(f2669,plain,
( sQ221_spl
| ~ sQ286_spl
| ~ sQ56_spl
| ~ sQ276_spl
| e20 != op2(h4(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f1498,f2668]) ).
fof(f2670,plain,
( sQ221_spl
| ~ sQ286_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1299,f2669]) ).
fof(f2671,plain,
e22 = op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f2665,f2570]) ).
fof(f2675,plain,
( sQ166_spl
| h2(e10) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f2395,f1100]) ).
fof(f2679,plain,
( sQ165_spl
| ~ sQ17_spl
| h2(e11) != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f514,f1097]) ).
fof(f2680,plain,
( sQ165_spl
| ~ sQ17_spl
| e20 != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2470,f2679]) ).
fof(f2681,plain,
( sQ165_spl
| ~ sQ17_spl
| e20 != op2(e20,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2470,f2680]) ).
fof(f2697,plain,
( sQ161_spl
| ~ sQ0_spl
| h2(e10) != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f459,f1085]) ).
fof(f2704,plain,
( ~ sQ70_spl
| e22 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f718,f192]) ).
fof(f2707,plain,
( ~ sQ81_spl
| sQ174_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f2605]) ).
fof(f2708,plain,
( ~ sQ81_spl
| sQ174_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2707]) ).
fof(f2709,plain,
( sQ211_spl
| ~ sQ17_spl
| ~ sQ276_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f2636,f753,f1497,f513,f1241]) ).
fof(f2710,plain,
( ~ sQ174_spl
| ~ sQ55_spl
| h2(e13) = op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f637,f1123]) ).
fof(f2711,plain,
( ~ sQ174_spl
| ~ sQ55_spl
| e21 = op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f296,f2710]) ).
fof(f2712,plain,
( ~ sQ174_spl
| ~ sQ55_spl
| e21 = op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f296,f2711]) ).
fof(f2713,plain,
( ~ sQ174_spl
| ~ sQ55_spl
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2470,f2712]) ).
fof(f2723,plain,
( ~ sQ67_spl
| h2(e12) = op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f708,f2482]) ).
fof(f2724,plain,
( ~ sQ91_spl
| ~ sQ90_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f783,f786]) ).
fof(f2725,plain,
( ~ sQ91_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2724,f223]) ).
fof(f2726,plain,
( ~ sQ91_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f2725]) ).
fof(f2729,plain,
( ~ sQ86_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2434,f770]) ).
fof(f2730,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2729,f219]) ).
fof(f2731,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f2730]) ).
fof(f2732,plain,
( ~ sQ120_spl
| sQ221_spl
| ~ sQ286_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f881,f2670]) ).
fof(f2733,plain,
( ~ sQ120_spl
| sQ221_spl
| ~ sQ286_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f2732]) ).
fof(f2734,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f819,f822]) ).
fof(f2735,plain,
( ~ sQ102_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2734,f221]) ).
fof(f2736,plain,
( ~ sQ102_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f2735]) ).
fof(f2737,plain,
( sQ207_spl
| ~ sQ0_spl
| ~ sQ276_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f2639,f698,f1497,f458,f1229]) ).
fof(f2738,plain,
( ~ sQ221_spl
| ~ sQ56_spl
| h4(e10) = op2(h4(e13),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f641,f1272]) ).
fof(f2739,plain,
( ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| e20 = op2(h4(e13),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1498,f2738]) ).
fof(f2740,plain,
( ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| e20 = op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1299,f2739]) ).
fof(f2741,plain,
( ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| e20 = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2665,f2740]) ).
fof(f2742,plain,
( ~ sQ199_spl
| ~ sQ106_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f2594,f821,f834,f1201]) ).
fof(f2743,plain,
( ~ sQ105_spl
| ~ sQ199_spl
| ~ sQ106_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2555,f832]) ).
fof(f2744,plain,
( ~ sQ105_spl
| ~ sQ199_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2743,f221]) ).
fof(f2745,plain,
( ~ sQ105_spl
| ~ sQ199_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f2744]) ).
fof(f2755,plain,
( sQ172_spl
| h2(op1(e12,e13)) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f296,f1118]) ).
fof(f2758,plain,
( sQ153_spl
| h1(e11) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f287,f1057]) ).
fof(f2762,plain,
( sQ152_spl
| ~ sQ56_spl
| h1(e10) != op2(h1(e13),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f641,f1054]) ).
fof(f2765,plain,
( sQ151_spl
| ~ sQ55_spl
| h1(e13) != op2(h1(e13),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f637,f1051]) ).
fof(f2766,plain,
( sQ151_spl
| ~ sQ55_spl
| e20 != op2(h1(e13),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f292,f2765]) ).
fof(f2767,plain,
( sQ151_spl
| ~ sQ55_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f292,f2766]) ).
fof(f2773,plain,
( sQ150_spl
| h1(e12) != op2(h1(e13),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f2424,f1048]) ).
fof(f2774,plain,
( sQ150_spl
| h1(e12) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f292,f2773]) ).
fof(f2780,plain,
( ~ sQ99_spl
| e23 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f812,f202]) ).
fof(f2781,plain,
( ~ sQ99_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f2780,f850,f811]) ).
fof(f2783,plain,
( sQ149_spl
| h1(op1(e12,e13)) != op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f292,f1045]) ).
fof(f2790,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f494,f488]) ).
fof(f2791,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2790,f216]) ).
fof(f2792,plain,
( ~ sQ9_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2791]) ).
fof(f2816,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f546,f537]) ).
fof(f2817,plain,
( ~ sQ24_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2816,f214]) ).
fof(f2818,plain,
( ~ sQ24_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2817]) ).
fof(f2829,plain,
( sQ143_spl
| h1(e10) != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f2395,f1027]) ).
fof(f2834,plain,
( sQ142_spl
| ~ sQ17_spl
| h1(e11) != op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f514,f1024]) ).
fof(f2863,plain,
( sQ222_spl
| h4(e11) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f287,f1276]) ).
fof(f2864,plain,
( sQ222_spl
| e21 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2565,f2863]) ).
fof(f2865,plain,
( sQ222_spl
| ~ sQ229_spl
| e21 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1299,f2864]) ).
fof(f2866,plain,
( sQ222_spl
| ~ sQ229_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1299,f2865]) ).
fof(f2867,plain,
( sQ222_spl
| ~ sQ229_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f290,f2866]) ).
fof(f2868,plain,
( sQ222_spl
| ~ sQ229_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2867]) ).
fof(f2869,plain,
( sQ222_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f2868]) ).
fof(f2874,plain,
( sQ220_spl
| ~ sQ55_spl
| h4(e13) != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f637,f1270]) ).
fof(f2875,plain,
( sQ220_spl
| ~ sQ55_spl
| ~ sQ229_spl
| e23 != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1299,f2874]) ).
fof(f2876,plain,
( sQ220_spl
| ~ sQ55_spl
| ~ sQ229_spl
| e23 != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1299,f2875]) ).
fof(f2877,plain,
( sQ220_spl
| ~ sQ55_spl
| ~ sQ229_spl
| e23 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2565,f2876]) ).
fof(f2878,plain,
( sQ220_spl
| ~ sQ55_spl
| ~ sQ229_spl
| ~ sQ119_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f877,f2877]) ).
fof(f2879,plain,
( sQ220_spl
| ~ sQ55_spl
| ~ sQ229_spl
| ~ sQ119_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2878]) ).
fof(f2880,plain,
( sQ220_spl
| ~ sQ55_spl
| ~ sQ229_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f2879]) ).
fof(f2904,plain,
( sQ134_spl
| op2(e20,e22) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f2671,f979]) ).
fof(f2907,plain,
( sQ135_spl
| ~ sQ119_spl
| op2(e21,e23) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f877,f983]) ).
fof(f2908,plain,
( sQ135_spl
| ~ sQ119_spl
| ~ sQ95_spl
| e23 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f799,f2907]) ).
fof(f2909,plain,
( sQ135_spl
| ~ sQ119_spl
| ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f877,f2908]) ).
fof(f2910,plain,
( sQ135_spl
| ~ sQ119_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2909]) ).
fof(f2911,plain,
( sQ135_spl
| ~ sQ119_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f2910]) ).
fof(f2912,plain,
( ~ sQ135_spl
| ~ sQ119_spl
| op2(e21,e23) = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f877,f982]) ).
fof(f2914,plain,
( sQ136_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| op2(e22,e20) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2741,f987]) ).
fof(f2919,plain,
( sQ219_spl
| h4(e12) != op2(h4(e13),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2424,f1267]) ).
fof(f2920,plain,
( sQ219_spl
| e22 != op2(h4(e13),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2665,f2919]) ).
fof(f2921,plain,
( sQ219_spl
| ~ sQ229_spl
| e22 != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1299,f2920]) ).
fof(f2922,plain,
( sQ219_spl
| ~ sQ229_spl
| ~ sQ276_spl
| e22 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f1498,f2921]) ).
fof(f2923,plain,
( sQ219_spl
| ~ sQ229_spl
| ~ sQ276_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2671,f2922]) ).
fof(f2924,plain,
( sQ219_spl
| ~ sQ229_spl
| ~ sQ276_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2923]) ).
fof(f2925,plain,
( sQ219_spl
| ~ sQ229_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f2924]) ).
fof(f2933,plain,
( ~ sQ105_spl
| ~ sQ199_spl
| h3(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f2517,f832]) ).
fof(f2934,plain,
( ~ sQ105_spl
| ~ sQ199_spl
| sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2933,f1469]) ).
fof(f2935,plain,
( ~ sQ105_spl
| ~ sQ199_spl
| sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f2934]) ).
fof(f2936,plain,
( sQ197_spl
| ~ sQ55_spl
| ~ sQ105_spl
| ~ sQ199_spl
| e22 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f2933,f2195]) ).
fof(f2941,plain,
( sQ197_spl
| ~ sQ55_spl
| ~ sQ105_spl
| ~ sQ199_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f2936,f821,f1201,f831,f636,f1195]) ).
fof(f2942,plain,
( ~ sQ197_spl
| ~ sQ55_spl
| ~ sQ105_spl
| ~ sQ199_spl
| e22 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2933,f2563]) ).
fof(f2945,plain,
( sQ217_spl
| ~ sQ42_spl
| h4(e12) != op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f595,f1261]) ).
fof(f2946,plain,
( sQ217_spl
| ~ sQ42_spl
| e22 != op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2665,f2945]) ).
fof(f2947,plain,
( sQ217_spl
| ~ sQ42_spl
| e22 != op2(e22,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2665,f2946]) ).
fof(f2948,plain,
( sQ217_spl
| ~ sQ42_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2665,f2947]) ).
fof(f2949,plain,
( sQ215_spl
| h4(op1(e12,e10)) != op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2665,f1255]) ).
fof(f2950,plain,
( sQ215_spl
| ~ sQ276_spl
| h4(op1(e12,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1498,f2949]) ).
fof(f2951,plain,
( sQ215_spl
| ~ sQ276_spl
| ~ sQ99_spl
| h4(op1(e12,e10)) != e23 ),
inference(forward_demodulation,[status(thm)],[f812,f2950]) ).
fof(f2975,plain,
( sQ129_spl
| op1(e10,e12) != op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f2424,f943]) ).
fof(f2976,plain,
( sQ129_spl
| op1(e10,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f2424,f2975]) ).
fof(f2977,plain,
( sQ130_spl
| ~ sQ55_spl
| op1(e11,e13) != op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f637,f947]) ).
fof(f2981,plain,
( sQ216_spl
| ~ sQ37_spl
| h4(e11) != op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f579,f1258]) ).
fof(f2982,plain,
( sQ216_spl
| ~ sQ37_spl
| e21 != op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2565,f2981]) ).
fof(f2983,plain,
( sQ216_spl
| ~ sQ37_spl
| e21 != op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2665,f2982]) ).
fof(f2984,plain,
( sQ216_spl
| ~ sQ37_spl
| e21 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2565,f2983]) ).
fof(f2998,plain,
( ~ sQ245_spl
| e21 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1366,f294]) ).
fof(f2999,plain,
( ~ sQ245_spl
| ~ sQ64_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f699,f2998]) ).
fof(f3000,plain,
( ~ sQ245_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2999,f218]) ).
fof(f3001,plain,
( ~ sQ245_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3000]) ).
fof(f3002,plain,
( ~ sQ64_spl
| h1(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f699,f294]) ).
fof(f3012,plain,
( sQ153_spl
| h1(e11) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f292,f2758]) ).
fof(f3013,plain,
( sQ153_spl
| h1(e11) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f292,f3012]) ).
fof(f3014,plain,
( sQ153_spl
| ~ sQ64_spl
| h1(e11) != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f3013]) ).
fof(f3015,plain,
( sQ212_spl
| h4(e10) != op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2395,f1246]) ).
fof(f3016,plain,
( sQ212_spl
| ~ sQ276_spl
| e20 != op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1498,f3015]) ).
fof(f3017,plain,
( sQ212_spl
| ~ sQ276_spl
| e20 != op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2565,f3016]) ).
fof(f3018,plain,
( sQ212_spl
| ~ sQ276_spl
| e20 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2565,f3017]) ).
fof(f3019,plain,
( sQ212_spl
| ~ sQ276_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2434,f3018]) ).
fof(f3020,plain,
( sQ212_spl
| ~ sQ276_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3019]) ).
fof(f3021,plain,
( sQ212_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f3020]) ).
fof(f3026,plain,
( sQ213_spl
| ~ sQ27_spl
| h4(e13) != op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f546,f1249]) ).
fof(f3027,plain,
( sQ213_spl
| ~ sQ27_spl
| ~ sQ229_spl
| e23 != op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1299,f3026]) ).
fof(f3028,plain,
( sQ213_spl
| ~ sQ27_spl
| ~ sQ229_spl
| e23 != op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2565,f3027]) ).
fof(f3029,plain,
( sQ213_spl
| ~ sQ27_spl
| ~ sQ229_spl
| e23 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2665,f3028]) ).
fof(f3031,plain,
( sQ153_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3002,f3014]) ).
fof(f3032,plain,
( sQ153_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3031]) ).
fof(f3033,plain,
( sQ153_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3032]) ).
fof(f3041,plain,
( ~ sQ256_spl
| e21 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1413,f2466]) ).
fof(f3042,plain,
( ~ sQ256_spl
| ~ sQ64_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f699,f3041]) ).
fof(f3043,plain,
( ~ sQ256_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3042,f218]) ).
fof(f3044,plain,
( ~ sQ256_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3043]) ).
fof(f3045,plain,
( ~ sQ64_spl
| h2(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f699,f2466]) ).
fof(f3055,plain,
( sQ166_spl
| h2(e10) != op2(e20,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f2470,f2675]) ).
fof(f3056,plain,
( sQ166_spl
| h2(e10) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2470,f3055]) ).
fof(f3057,plain,
( sQ166_spl
| ~ sQ64_spl
| h2(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f3056]) ).
fof(f3059,plain,
( sQ259_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f296,f1426]) ).
fof(f3060,plain,
( sQ259_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3059]) ).
fof(f3061,plain,
sQ259_spl,
inference(contradiction_clause,[status(thm)],[f3060]) ).
fof(f3062,plain,
( sQ166_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3045,f3057]) ).
fof(f3063,plain,
( sQ166_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3062]) ).
fof(f3064,plain,
( sQ166_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3063]) ).
fof(f3069,plain,
( sQ252_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3045,f1397]) ).
fof(f3070,plain,
( sQ252_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3069]) ).
fof(f3071,plain,
( sQ252_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3070]) ).
fof(f3073,plain,
( sQ131_spl
| ~ sQ56_spl
| op1(e12,e10) != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f641,f951]) ).
fof(f3074,plain,
( sQ131_spl
| ~ sQ56_spl
| ~ sQ32_spl
| e10 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f563,f3073]) ).
fof(f3075,plain,
( sQ131_spl
| ~ sQ56_spl
| ~ sQ32_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f641,f3074]) ).
fof(f3076,plain,
( sQ131_spl
| ~ sQ56_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3075]) ).
fof(f3077,plain,
( sQ131_spl
| ~ sQ56_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3076]) ).
fof(f3078,plain,
( sQ164_spl
| ~ sQ64_spl
| h2(op1(e10,e13)) != op2(e20,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f3045,f1094]) ).
fof(f3079,plain,
( sQ164_spl
| ~ sQ64_spl
| h2(op1(e10,e13)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f296,f3078]) ).
fof(f3080,plain,
( sQ164_spl
| ~ sQ64_spl
| ~ sQ69_spl
| h2(op1(e10,e13)) != e21 ),
inference(forward_demodulation,[status(thm)],[f715,f3079]) ).
fof(f3088,plain,
( sQ161_spl
| ~ sQ0_spl
| ~ sQ64_spl
| e20 != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3045,f2697]) ).
fof(f3089,plain,
( sQ161_spl
| ~ sQ0_spl
| ~ sQ64_spl
| e20 != op2(e20,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3045,f3088]) ).
fof(f3090,plain,
( sQ161_spl
| ~ sQ0_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3045,f3089]) ).
fof(f3091,plain,
( sQ161_spl
| ~ sQ0_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f3090]) ).
fof(f3092,plain,
( sQ161_spl
| ~ sQ0_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3091]) ).
fof(f3093,plain,
( sQ161_spl
| ~ sQ0_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3092]) ).
fof(f3094,plain,
( sQ169_spl
| ~ sQ64_spl
| h2(op1(e12,e10)) != op2(h2(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f3045,f1109]) ).
fof(f3097,plain,
( ~ sQ131_spl
| ~ sQ56_spl
| op1(e12,e10) = op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f641,f950]) ).
fof(f3098,plain,
( ~ sQ131_spl
| ~ sQ56_spl
| op1(e12,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f641,f3097]) ).
fof(f3115,plain,
( sQ151_spl
| ~ sQ55_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3002,f2767]) ).
fof(f3116,plain,
( sQ151_spl
| ~ sQ55_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f3115]) ).
fof(f3117,plain,
( sQ151_spl
| ~ sQ55_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3116]) ).
fof(f3118,plain,
( sQ151_spl
| ~ sQ55_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3117]) ).
fof(f3123,plain,
( sQ165_spl
| ~ sQ17_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3045,f2681]) ).
fof(f3124,plain,
( sQ165_spl
| ~ sQ17_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f3123]) ).
fof(f3125,plain,
( sQ165_spl
| ~ sQ17_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3124]) ).
fof(f3126,plain,
( sQ165_spl
| ~ sQ17_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3125]) ).
fof(f3131,plain,
( sQ209_spl
| ~ sQ9_spl
| h4(e11) != op2(h4(e10),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f488,f1237]) ).
fof(f3132,plain,
( sQ209_spl
| ~ sQ9_spl
| e21 != op2(h4(e10),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2565,f3131]) ).
fof(f3133,plain,
( sQ209_spl
| ~ sQ9_spl
| ~ sQ276_spl
| e21 != op2(e20,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1498,f3132]) ).
fof(f3134,plain,
( sQ209_spl
| ~ sQ9_spl
| ~ sQ276_spl
| e21 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f2665,f3133]) ).
fof(f3153,plain,
( ~ sQ131_spl
| ~ sQ56_spl
| ~ sQ35_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f572,f3098]) ).
fof(f3154,plain,
( ~ sQ131_spl
| ~ sQ56_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3153,f214]) ).
fof(f3155,plain,
( ~ sQ131_spl
| ~ sQ56_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3154]) ).
fof(f3159,plain,
( sQ164_spl
| ~ sQ64_spl
| ~ sQ69_spl
| ~ sQ15_spl
| h2(e13) != e21 ),
inference(forward_demodulation,[status(thm)],[f507,f3080]) ).
fof(f3160,plain,
( sQ164_spl
| ~ sQ64_spl
| ~ sQ69_spl
| ~ sQ15_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f296,f3159]) ).
fof(f3161,plain,
( sQ164_spl
| ~ sQ64_spl
| ~ sQ69_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3160]) ).
fof(f3162,plain,
( sQ164_spl
| ~ sQ64_spl
| ~ sQ69_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3161]) ).
fof(f3163,plain,
( sQ217_spl
| ~ sQ42_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f2948,f834,f594,f1259]) ).
fof(f3165,plain,
( ~ sQ70_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f2704,f743,f717]) ).
fof(f3169,plain,
( ~ sQ164_spl
| ~ sQ15_spl
| h2(e13) = op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f507,f1093]) ).
fof(f3170,plain,
( ~ sQ164_spl
| ~ sQ15_spl
| e21 = op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f296,f3169]) ).
fof(f3171,plain,
( ~ sQ164_spl
| ~ sQ15_spl
| ~ sQ64_spl
| e21 = op2(e20,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f3045,f3170]) ).
fof(f3172,plain,
( ~ sQ164_spl
| ~ sQ15_spl
| ~ sQ64_spl
| e21 = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f296,f3171]) ).
fof(f3175,plain,
( ~ sQ295_spl
| op2(e21,e20) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2434,f1577]) ).
fof(f3176,plain,
( ~ sQ295_spl
| ~ sQ174_spl
| ~ sQ55_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2713,f3175]) ).
fof(f3177,plain,
( ~ sQ295_spl
| ~ sQ174_spl
| ~ sQ55_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2434,f3176]) ).
fof(f3178,plain,
( ~ sQ295_spl
| ~ sQ174_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3177,f218]) ).
fof(f3179,plain,
( ~ sQ295_spl
| ~ sQ174_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3178]) ).
fof(f3183,plain,
( ~ sQ294_spl
| ~ sQ174_spl
| ~ sQ55_spl
| op2(e20,e21) = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2713,f1573]) ).
fof(f3184,plain,
( ~ sQ294_spl
| ~ sQ174_spl
| ~ sQ55_spl
| op2(e20,e21) = e21 ),
inference(forward_demodulation,[status(thm)],[f2713,f3183]) ).
fof(f3187,plain,
( sQ208_spl
| ~ sQ6_spl
| h4(e12) != op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f478,f1234]) ).
fof(f3188,plain,
( sQ208_spl
| ~ sQ6_spl
| e22 != op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2665,f3187]) ).
fof(f3189,plain,
( sQ208_spl
| ~ sQ6_spl
| ~ sQ276_spl
| e22 != op2(e20,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1498,f3188]) ).
fof(f3190,plain,
( sQ208_spl
| ~ sQ6_spl
| ~ sQ276_spl
| e22 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f2565,f3189]) ).
fof(f3214,plain,
( ~ sQ292_spl
| ~ sQ30_spl
| op1(e13,e12) = op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f556,f1564]) ).
fof(f3215,plain,
( ~ sQ292_spl
| ~ sQ30_spl
| ~ sQ56_spl
| e10 = op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f641,f3214]) ).
fof(f3216,plain,
( ~ sQ292_spl
| ~ sQ30_spl
| ~ sQ56_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f556,f3215]) ).
fof(f3217,plain,
( ~ sQ292_spl
| ~ sQ30_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3216,f213]) ).
fof(f3218,plain,
( ~ sQ292_spl
| ~ sQ30_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3217]) ).
fof(f3222,plain,
( ~ sQ291_spl
| ~ sQ27_spl
| op1(e12,e13) = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f546,f1560]) ).
fof(f3223,plain,
( ~ sQ291_spl
| ~ sQ27_spl
| ~ sQ44_spl
| e10 = op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f602,f3222]) ).
fof(f3224,plain,
( ~ sQ291_spl
| ~ sQ27_spl
| ~ sQ44_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f546,f3223]) ).
fof(f3225,plain,
( ~ sQ291_spl
| ~ sQ27_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3224,f214]) ).
fof(f3226,plain,
( ~ sQ291_spl
| ~ sQ27_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3225]) ).
fof(f3227,plain,
( sQ291_spl
| ~ sQ27_spl
| op1(e12,e13) != op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f546,f1561]) ).
fof(f3230,plain,
( ~ sQ290_spl
| op1(e11,e10) = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f2395,f1556]) ).
fof(f3231,plain,
( ~ sQ290_spl
| ~ sQ17_spl
| e11 = op1(e11,e11) ),
inference(forward_demodulation,[status(thm)],[f514,f3230]) ).
fof(f3232,plain,
( ~ sQ290_spl
| ~ sQ17_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f2395,f3231]) ).
fof(f3233,plain,
( ~ sQ290_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3232,f212]) ).
fof(f3234,plain,
( ~ sQ290_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f3233]) ).
fof(f3238,plain,
( sQ215_spl
| ~ sQ276_spl
| ~ sQ99_spl
| ~ sQ35_spl
| h4(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f572,f2951]) ).
fof(f3239,plain,
( sQ215_spl
| ~ sQ276_spl
| ~ sQ99_spl
| ~ sQ35_spl
| ~ sQ229_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1299,f3238]) ).
fof(f3240,plain,
( sQ215_spl
| ~ sQ276_spl
| ~ sQ99_spl
| ~ sQ35_spl
| ~ sQ229_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3239]) ).
fof(f3241,plain,
( sQ215_spl
| ~ sQ276_spl
| ~ sQ99_spl
| ~ sQ35_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f3240]) ).
fof(f3277,plain,
e20 != op2(e22,e21),
inference(forward_demodulation,[status(thm)],[f2434,f173]) ).
fof(f3289,plain,
( ~ sQ289_spl
| ~ sQ17_spl
| op1(e10,e11) = op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f514,f1552]) ).
fof(f3290,plain,
( ~ sQ289_spl
| ~ sQ17_spl
| ~ sQ6_spl
| e12 = op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f478,f3289]) ).
fof(f3291,plain,
( ~ sQ289_spl
| ~ sQ17_spl
| ~ sQ6_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f514,f3290]) ).
fof(f3292,plain,
( ~ sQ289_spl
| ~ sQ17_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3291,f215]) ).
fof(f3293,plain,
( ~ sQ289_spl
| ~ sQ17_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3292]) ).
fof(f3294,plain,
( sQ289_spl
| ~ sQ17_spl
| op1(e10,e11) != op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f514,f1553]) ).
fof(f3297,plain,
( ~ sQ299_spl
| ~ sQ6_spl
| op1(e11,e12) = op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f478,f1595]) ).
fof(f3298,plain,
( ~ sQ299_spl
| ~ sQ6_spl
| ~ sQ27_spl
| e13 = op1(e10,e11) ),
inference(forward_demodulation,[status(thm)],[f546,f3297]) ).
fof(f3299,plain,
( ~ sQ299_spl
| ~ sQ6_spl
| ~ sQ27_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f478,f3298]) ).
fof(f3300,plain,
( ~ sQ299_spl
| ~ sQ6_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3299,f217]) ).
fof(f3301,plain,
( ~ sQ299_spl
| ~ sQ6_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3300]) ).
fof(f3304,plain,
( ~ sQ301_spl
| ~ sQ15_spl
| op1(e13,e13) = op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f507,f1603]) ).
fof(f3305,plain,
( ~ sQ301_spl
| ~ sQ15_spl
| e11 = op1(e10,e13) ),
inference(forward_demodulation,[status(thm)],[f287,f3304]) ).
fof(f3306,plain,
( ~ sQ301_spl
| ~ sQ15_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f507,f3305]) ).
fof(f3307,plain,
( ~ sQ301_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3306,f216]) ).
fof(f3308,plain,
( ~ sQ301_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3307]) ).
fof(f3315,plain,
( sQ302_spl
| ~ sQ64_spl
| op2(e20,e20) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f699,f1609]) ).
fof(f3316,plain,
( sQ302_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f699,f3315]) ).
fof(f3317,plain,
( sQ302_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f3316]) ).
fof(f3318,plain,
( sQ302_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3317]) ).
fof(f3319,plain,
( sQ302_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3318]) ).
fof(f3322,plain,
( ~ sQ119_spl
| op2(e20,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f877,f172]) ).
fof(f3323,plain,
( sQ294_spl
| ~ sQ174_spl
| ~ sQ55_spl
| op2(e20,e21) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2713,f1574]) ).
fof(f3324,plain,
( sQ294_spl
| ~ sQ174_spl
| ~ sQ55_spl
| op2(e20,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f2713,f3323]) ).
fof(f3330,plain,
( ~ sQ305_spl
| ~ sQ78_spl
| op2(e23,e22) = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f744,f1620]) ).
fof(f3331,plain,
( ~ sQ305_spl
| ~ sQ78_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| e20 = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2741,f3330]) ).
fof(f3332,plain,
( ~ sQ305_spl
| ~ sQ78_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f744,f3331]) ).
fof(f3333,plain,
( ~ sQ305_spl
| ~ sQ78_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3332,f219]) ).
fof(f3334,plain,
( ~ sQ305_spl
| ~ sQ78_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f3333]) ).
fof(f3345,plain,
( sQ294_spl
| ~ sQ174_spl
| ~ sQ55_spl
| ~ sQ164_spl
| ~ sQ15_spl
| ~ sQ64_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3172,f3324]) ).
fof(f3346,plain,
( sQ294_spl
| ~ sQ174_spl
| ~ sQ55_spl
| ~ sQ164_spl
| ~ sQ15_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3345]) ).
fof(f3347,plain,
( sQ294_spl
| ~ sQ174_spl
| ~ sQ55_spl
| ~ sQ164_spl
| ~ sQ15_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f3346]) ).
fof(f3348,plain,
( sQ294_spl
| ~ sQ174_spl
| ~ sQ55_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f3324,f714,f636,f1122,f1572]) ).
fof(f3353,plain,
( sQ291_spl
| ~ sQ27_spl
| op1(e12,e13) != e13 ),
inference(forward_demodulation,[status(thm)],[f546,f3227]) ).
fof(f3363,plain,
( sQ237_spl
| ~ sQ197_spl
| ~ sQ55_spl
| ~ sQ105_spl
| ~ sQ199_spl
| op2(e21,e22) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f2942,f1332]) ).
fof(f3364,plain,
( sQ237_spl
| ~ sQ197_spl
| ~ sQ55_spl
| ~ sQ105_spl
| ~ sQ199_spl
| ~ sQ90_spl
| e22 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f783,f3363]) ).
fof(f3365,plain,
( sQ237_spl
| ~ sQ197_spl
| ~ sQ55_spl
| ~ sQ105_spl
| ~ sQ199_spl
| ~ sQ90_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2942,f3364]) ).
fof(f3366,plain,
( sQ237_spl
| ~ sQ197_spl
| ~ sQ55_spl
| ~ sQ105_spl
| ~ sQ199_spl
| ~ sQ90_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3365]) ).
fof(f3367,plain,
( sQ237_spl
| ~ sQ197_spl
| ~ sQ55_spl
| ~ sQ105_spl
| ~ sQ199_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f3366]) ).
fof(f3369,plain,
( sQ216_spl
| ~ sQ37_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f2984,f818,f578,f1256]) ).
fof(f3371,plain,
( sQ213_spl
| ~ sQ27_spl
| ~ sQ229_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f3029,f785,f1298,f545,f1247]) ).
fof(f3376,plain,
( sQ209_spl
| ~ sQ9_spl
| ~ sQ276_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f3134,f727,f1497,f487,f1235]) ).
fof(f3377,plain,
( sQ134_spl
| op2(e20,e22) != e22 ),
inference(forward_demodulation,[status(thm)],[f2671,f2904]) ).
fof(f3381,plain,
( sQ210_spl
| ~ sQ229_spl
| ~ sQ15_spl
| ~ sQ276_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f2524,f746,f1497,f506,f1298,f1238]) ).
fof(f3385,plain,
( ~ sQ239_spl
| ~ sQ108_spl
| op2(e23,e20) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f842,f1339]) ).
fof(f3386,plain,
( ~ sQ239_spl
| ~ sQ108_spl
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2671,f3385]) ).
fof(f3387,plain,
( ~ sQ239_spl
| ~ sQ108_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f842,f3386]) ).
fof(f3388,plain,
( ~ sQ239_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3387,f219]) ).
fof(f3389,plain,
( ~ sQ239_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f3388]) ).
fof(f3409,plain,
( ~ sQ98_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2671,f1930]) ).
fof(f3410,plain,
( ~ sQ98_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3409]) ).
fof(f3411,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f3410]) ).
fof(f3413,plain,
( sQ130_spl
| ~ sQ55_spl
| op1(e11,e13) != e13 ),
inference(forward_demodulation,[status(thm)],[f637,f2977]) ).
fof(f3414,plain,
( sQ289_spl
| ~ sQ17_spl
| op1(e10,e11) != e11 ),
inference(forward_demodulation,[status(thm)],[f514,f3294]) ).
fof(f3422,plain,
( sQ114_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2671,f862]) ).
fof(f3423,plain,
( sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3422]) ).
fof(f3424,plain,
sQ114_spl,
inference(contradiction_clause,[status(thm)],[f3423]) ).
fof(f3429,plain,
( ~ sQ135_spl
| ~ sQ119_spl
| op2(e21,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f877,f2912]) ).
fof(f3432,plain,
( sQ214_spl
| ~ sQ229_spl
| h4(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2565,f1840]) ).
fof(f3461,plain,
( ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f816,f3277]) ).
fof(f3462,plain,
~ sQ100_spl,
inference(contradiction_clause,[status(thm)],[f3461]) ).
fof(f3470,plain,
( sQ214_spl
| ~ sQ229_spl
| ~ sQ94_spl
| h4(op1(e11,e13)) != e22 ),
inference(backward_demodulation,[status(thm)],[f796,f3432]) ).
fof(f3515,plain,
( sQ289_spl
| ~ sQ17_spl
| ~ sQ5_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f475,f3414]) ).
fof(f3516,plain,
( sQ289_spl
| ~ sQ17_spl
| ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3515]) ).
fof(f3517,plain,
( sQ289_spl
| ~ sQ17_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3516]) ).
fof(f3519,plain,
( ~ sQ240_spl
| ~ sQ248_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1379,f1345]) ).
fof(f3520,plain,
( ~ sQ240_spl
| ~ sQ248_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3519,f219]) ).
fof(f3521,plain,
( ~ sQ240_spl
| ~ sQ248_spl ),
inference(contradiction_clause,[status(thm)],[f3520]) ).
fof(f3522,plain,
( ~ sQ234_spl
| ~ sQ44_spl
| op1(e13,e10) = op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f602,f1318]) ).
fof(f3523,plain,
( ~ sQ234_spl
| ~ sQ44_spl
| e12 = op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f2424,f3522]) ).
fof(f3524,plain,
( ~ sQ234_spl
| ~ sQ44_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f602,f3523]) ).
fof(f3525,plain,
( ~ sQ234_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3524,f213]) ).
fof(f3526,plain,
( ~ sQ234_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3525]) ).
fof(f3533,plain,
( sQ152_spl
| ~ sQ56_spl
| h1(e10) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f292,f2762]) ).
fof(f3537,plain,
( ~ sQ233_spl
| ~ sQ41_spl
| op1(e12,e11) = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f592,f1314]) ).
fof(f3538,plain,
( ~ sQ233_spl
| ~ sQ41_spl
| ~ sQ38_spl
| e12 = op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f582,f3537]) ).
fof(f3539,plain,
( ~ sQ233_spl
| ~ sQ41_spl
| ~ sQ38_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f592,f3538]) ).
fof(f3540,plain,
( ~ sQ233_spl
| ~ sQ41_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3539,f215]) ).
fof(f3541,plain,
( ~ sQ233_spl
| ~ sQ41_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3540]) ).
fof(f3545,plain,
( ~ sQ231_spl
| ~ sQ35_spl
| op1(e10,e13) = op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f572,f1306]) ).
fof(f3546,plain,
( ~ sQ231_spl
| ~ sQ35_spl
| ~ sQ14_spl
| e12 = op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f504,f3545]) ).
fof(f3547,plain,
( ~ sQ231_spl
| ~ sQ35_spl
| ~ sQ14_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f572,f3546]) ).
fof(f3548,plain,
( ~ sQ231_spl
| ~ sQ35_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3547,f217]) ).
fof(f3549,plain,
( ~ sQ231_spl
| ~ sQ35_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3548]) ).
fof(f3550,plain,
( sQ231_spl
| ~ sQ35_spl
| op1(e10,e13) != op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f572,f1307]) ).
fof(f3553,plain,
( sQ298_spl
| ~ sQ0_spl
| op1(e10,e10) != op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f459,f1592]) ).
fof(f3554,plain,
( sQ298_spl
| ~ sQ0_spl
| e10 != op1(e10,e10) ),
inference(forward_demodulation,[status(thm)],[f459,f3553]) ).
fof(f3555,plain,
( sQ298_spl
| ~ sQ0_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f459,f3554]) ).
fof(f3556,plain,
( sQ298_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3555]) ).
fof(f3557,plain,
( sQ298_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f3556]) ).
fof(f3576,plain,
( sQ189_spl
| h3(e10) != op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2395,f1173]) ).
fof(f3577,plain,
( sQ189_spl
| ~ sQ106_spl
| ~ sQ199_spl
| h3(e10) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2534,f3576]) ).
fof(f3578,plain,
( sQ189_spl
| ~ sQ106_spl
| ~ sQ199_spl
| h3(e10) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2534,f3577]) ).
fof(f3579,plain,
( sQ189_spl
| ~ sQ106_spl
| ~ sQ199_spl
| h3(e10) != e22 ),
inference(forward_demodulation,[status(thm)],[f2555,f3578]) ).
fof(f3602,plain,
( ~ sQ31_spl
| sQ130_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f559,f3413]) ).
fof(f3603,plain,
( ~ sQ31_spl
| sQ130_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3602]) ).
fof(f3605,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f602,f608]) ).
fof(f3606,plain,
( ~ sQ46_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3605,f213]) ).
fof(f3607,plain,
( ~ sQ46_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3606]) ).
fof(f3608,plain,
( sQ231_spl
| ~ sQ35_spl
| op1(e10,e13) != e13 ),
inference(forward_demodulation,[status(thm)],[f572,f3550]) ).
fof(f3614,plain,
( ~ sQ130_spl
| ~ sQ55_spl
| op1(e11,e13) = op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f637,f946]) ).
fof(f3615,plain,
( ~ sQ130_spl
| ~ sQ55_spl
| op1(e11,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f637,f3614]) ).
fof(f3635,plain,
( ~ sQ135_spl
| ~ sQ119_spl
| ~ sQ94_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f796,f3429]) ).
fof(f3636,plain,
( ~ sQ135_spl
| ~ sQ119_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3635,f223]) ).
fof(f3637,plain,
( ~ sQ135_spl
| ~ sQ119_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f3636]) ).
fof(f3654,plain,
( sQ188_spl
| ~ sQ17_spl
| h3(e11) != op2(h3(e11),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f514,f1170]) ).
fof(f3655,plain,
( sQ188_spl
| ~ sQ17_spl
| ~ sQ106_spl
| ~ sQ199_spl
| e22 != op2(h3(e11),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f2534,f3654]) ).
fof(f3656,plain,
( sQ188_spl
| ~ sQ17_spl
| ~ sQ106_spl
| ~ sQ199_spl
| e22 != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f2534,f3655]) ).
fof(f3657,plain,
( sQ188_spl
| ~ sQ17_spl
| ~ sQ106_spl
| ~ sQ199_spl
| e22 != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f2518,f3656]) ).
fof(f3689,plain,
( sQ218_spl
| ~ sQ229_spl
| ~ sQ44_spl
| h4(e10) != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f602,f1732]) ).
fof(f3690,plain,
( sQ218_spl
| ~ sQ229_spl
| ~ sQ44_spl
| ~ sQ276_spl
| e20 != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f1498,f3689]) ).
fof(f3691,plain,
( sQ218_spl
| ~ sQ229_spl
| ~ sQ44_spl
| ~ sQ276_spl
| e20 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2665,f3690]) ).
fof(f3735,plain,
( ~ sQ67_spl
| ~ sQ94_spl
| h2(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f796,f2723]) ).
fof(f3736,plain,
( ~ sQ67_spl
| ~ sQ94_spl
| sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3735,f1439]) ).
fof(f3737,plain,
( ~ sQ67_spl
| ~ sQ94_spl
| sQ262_spl ),
inference(contradiction_clause,[status(thm)],[f3736]) ).
fof(f3764,plain,
( sQ136_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| ~ sQ96_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f803,f2914]) ).
fof(f3765,plain,
( sQ136_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| ~ sQ96_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2741,f3764]) ).
fof(f3766,plain,
( sQ136_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| ~ sQ96_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3765]) ).
fof(f3767,plain,
( sQ136_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f3766]) ).
fof(f3768,plain,
( ~ sQ136_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| op2(e22,e20) = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2741,f986]) ).
fof(f3771,plain,
( sQ150_spl
| ~ sQ244_spl
| h1(e12) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1362,f2774]) ).
fof(f3772,plain,
( sQ150_spl
| ~ sQ244_spl
| ~ sQ70_spl
| h1(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f718,f3771]) ).
fof(f3822,plain,
( sQ150_spl
| ~ sQ244_spl
| ~ sQ70_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f3772,f1386,f717,f1361,f1046]) ).
fof(f3833,plain,
( ~ sQ199_spl
| ~ sQ106_spl
| h3(e10) = op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2534,f2533]) ).
fof(f3834,plain,
( ~ sQ199_spl
| ~ sQ106_spl
| h3(e10) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2534,f3833]) ).
fof(f3835,plain,
( ~ sQ199_spl
| ~ sQ106_spl
| h3(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f2555,f3834]) ).
fof(f3836,plain,
( ~ sQ199_spl
| ~ sQ106_spl
| sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3835,f1482]) ).
fof(f3837,plain,
( ~ sQ199_spl
| ~ sQ106_spl
| sQ272_spl ),
inference(contradiction_clause,[status(thm)],[f3836]) ).
fof(f3838,plain,
( sQ189_spl
| ~ sQ106_spl
| ~ sQ199_spl
| ~ sQ272_spl ),
inference(split_clause,[status(thm)],[f3579,f1480,f1201,f834,f1171]) ).
fof(f3854,plain,
( ~ sQ199_spl
| ~ sQ106_spl
| h3(e12) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f3835,f2518]) ).
fof(f3860,plain,
( ~ sQ199_spl
| ~ sQ106_spl
| h3(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f2555,f3854]) ).
fof(f3861,plain,
( ~ sQ199_spl
| ~ sQ106_spl
| sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3860,f1490]) ).
fof(f3862,plain,
( ~ sQ199_spl
| ~ sQ106_spl
| sQ274_spl ),
inference(contradiction_clause,[status(thm)],[f3861]) ).
fof(f3868,plain,
( sQ188_spl
| ~ sQ17_spl
| ~ sQ106_spl
| ~ sQ199_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f3657,f1488,f1201,f834,f513,f1168]) ).
fof(f3878,plain,
( sQ187_spl
| ~ sQ15_spl
| ~ sQ199_spl
| ~ sQ106_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3835,f2473]) ).
fof(f3879,plain,
( sQ187_spl
| ~ sQ15_spl
| ~ sQ199_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2555,f3878]) ).
fof(f3880,plain,
( sQ187_spl
| ~ sQ15_spl
| ~ sQ199_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3879]) ).
fof(f3881,plain,
( sQ187_spl
| ~ sQ15_spl
| ~ sQ199_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f3880]) ).
fof(f3906,plain,
( sQ129_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2976,f490,f941]) ).
fof(f3925,plain,
( sQ231_spl
| ~ sQ35_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3608,f506,f571,f1305]) ).
fof(f3926,plain,
( sQ232_spl
| ~ sQ38_spl
| op1(e11,e12) != op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f582,f1311]) ).
fof(f3927,plain,
( sQ232_spl
| ~ sQ38_spl
| op1(e11,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f582,f3926]) ).
fof(f3930,plain,
( ~ sQ130_spl
| ~ sQ55_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f3615,f558,f636,f945]) ).
fof(f3961,plain,
( sQ208_spl
| ~ sQ6_spl
| ~ sQ276_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f3190,f717,f1497,f477,f1232]) ).
fof(f4005,plain,
( sQ184_spl
| ~ sQ0_spl
| h3(e10) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f459,f1158]) ).
fof(f4006,plain,
( sQ184_spl
| ~ sQ0_spl
| ~ sQ199_spl
| ~ sQ106_spl
| e22 != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3835,f4005]) ).
fof(f4007,plain,
( sQ184_spl
| ~ sQ0_spl
| ~ sQ199_spl
| ~ sQ106_spl
| e22 != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3835,f4006]) ).
fof(f4008,plain,
( sQ184_spl
| ~ sQ0_spl
| ~ sQ199_spl
| ~ sQ106_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3835,f4007]) ).
fof(f4009,plain,
( sQ184_spl
| ~ sQ0_spl
| ~ sQ199_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2555,f4008]) ).
fof(f4010,plain,
( sQ184_spl
| ~ sQ0_spl
| ~ sQ199_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4009]) ).
fof(f4011,plain,
( sQ184_spl
| ~ sQ0_spl
| ~ sQ199_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f4010]) ).
fof(f4053,plain,
( ~ sQ303_spl
| ~ sQ70_spl
| op2(e21,e22) = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f718,f1612]) ).
fof(f4054,plain,
( ~ sQ303_spl
| ~ sQ70_spl
| ~ sQ91_spl
| e23 = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f786,f4053]) ).
fof(f4055,plain,
( ~ sQ303_spl
| ~ sQ70_spl
| ~ sQ91_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f718,f4054]) ).
fof(f4056,plain,
( ~ sQ303_spl
| ~ sQ70_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4055,f223]) ).
fof(f4057,plain,
( ~ sQ303_spl
| ~ sQ70_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f4056]) ).
fof(f4061,plain,
( sQ304_spl
| ~ sQ73_spl
| op2(e22,e21) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f728,f1617]) ).
fof(f4062,plain,
( sQ304_spl
| ~ sQ73_spl
| ~ sQ101_spl
| e21 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f819,f4061]) ).
fof(f4063,plain,
( sQ304_spl
| ~ sQ73_spl
| ~ sQ101_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f728,f4062]) ).
fof(f4064,plain,
( sQ304_spl
| ~ sQ73_spl
| ~ sQ101_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4063]) ).
fof(f4065,plain,
( sQ304_spl
| ~ sQ73_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f4064]) ).
fof(f4069,plain,
( ~ sQ296_spl
| ~ sQ91_spl
| op2(e22,e23) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f786,f1581]) ).
fof(f4084,plain,
( sQ238_spl
| ~ sQ199_spl
| ~ sQ106_spl
| op2(e22,e22) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2555,f1336]) ).
fof(f4085,plain,
( sQ238_spl
| ~ sQ199_spl
| ~ sQ106_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2555,f4084]) ).
fof(f4086,plain,
( sQ238_spl
| ~ sQ199_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2555,f4085]) ).
fof(f4087,plain,
( sQ238_spl
| ~ sQ199_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4086]) ).
fof(f4088,plain,
( sQ238_spl
| ~ sQ199_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f4087]) ).
fof(f4092,plain,
( sQ296_spl
| ~ sQ91_spl
| op2(e22,e23) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f786,f1582]) ).
fof(f4093,plain,
( sQ296_spl
| ~ sQ91_spl
| ~ sQ111_spl
| e23 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f851,f4092]) ).
fof(f4094,plain,
( sQ296_spl
| ~ sQ91_spl
| ~ sQ111_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f786,f4093]) ).
fof(f4095,plain,
( sQ296_spl
| ~ sQ91_spl
| ~ sQ111_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4094]) ).
fof(f4096,plain,
( sQ296_spl
| ~ sQ91_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f4095]) ).
fof(f4102,plain,
( ~ sQ119_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f3322,f720,f876]) ).
fof(f4104,plain,
( sQ291_spl
| ~ sQ27_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f3353,f610,f545,f1559]) ).
fof(f4116,plain,
( sQ134_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f3377,f730,f977]) ).
fof(f4118,plain,
( ~ sQ296_spl
| ~ sQ91_spl
| op2(e22,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f786,f4069]) ).
fof(f4125,plain,
( ~ sQ134_spl
| op2(e20,e22) = op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f2671,f978]) ).
fof(f4126,plain,
( ~ sQ134_spl
| op2(e20,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f2671,f4125]) ).
fof(f4127,plain,
( ~ sQ136_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| op2(e22,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f2741,f3768]) ).
fof(f4172,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ64_spl
| e20 != op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3002,f2834]) ).
fof(f4173,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3002,f4172]) ).
fof(f4217,plain,
( sQ143_spl
| ~ sQ64_spl
| h1(e10) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3002,f2829]) ).
fof(f4218,plain,
( sQ143_spl
| ~ sQ64_spl
| h1(e10) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3002,f4217]) ).
fof(f4219,plain,
( sQ143_spl
| ~ sQ64_spl
| h1(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f4218]) ).
fof(f4232,plain,
( ~ sQ296_spl
| ~ sQ91_spl
| ~ sQ108_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f842,f4118]) ).
fof(f4233,plain,
( ~ sQ296_spl
| ~ sQ91_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4232,f220]) ).
fof(f4234,plain,
( ~ sQ296_spl
| ~ sQ91_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f4233]) ).
fof(f4240,plain,
( sQ233_spl
| ~ sQ42_spl
| op1(e12,e12) != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f595,f1315]) ).
fof(f4241,plain,
( sQ233_spl
| ~ sQ42_spl
| e12 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f595,f4240]) ).
fof(f4242,plain,
( sQ233_spl
| ~ sQ42_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f595,f4241]) ).
fof(f4243,plain,
( sQ233_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4242]) ).
fof(f4244,plain,
( sQ233_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f4243]) ).
fof(f4248,plain,
( sQ300_spl
| ~ sQ9_spl
| op1(e12,e11) != op1(e10,e12) ),
inference(forward_demodulation,[status(thm)],[f488,f1600]) ).
fof(f4249,plain,
( sQ300_spl
| ~ sQ9_spl
| ~ sQ37_spl
| e11 != op1(e10,e12) ),
inference(forward_demodulation,[status(thm)],[f579,f4248]) ).
fof(f4250,plain,
( sQ300_spl
| ~ sQ9_spl
| ~ sQ37_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f488,f4249]) ).
fof(f4251,plain,
( sQ300_spl
| ~ sQ9_spl
| ~ sQ37_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4250]) ).
fof(f4252,plain,
( sQ300_spl
| ~ sQ9_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f4251]) ).
fof(f4253,plain,
( sQ232_spl
| ~ sQ38_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3927,f542,f581,f1309]) ).
fof(f4271,plain,
( sQ218_spl
| ~ sQ229_spl
| ~ sQ44_spl
| ~ sQ276_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f3691,f841,f1497,f601,f1298,f1262]) ).
fof(f4295,plain,
( ~ sQ70_spl
| ~ sQ294_spl
| ~ sQ174_spl
| ~ sQ55_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f3184,f718]) ).
fof(f4296,plain,
( ~ sQ70_spl
| ~ sQ294_spl
| ~ sQ174_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4295,f221]) ).
fof(f4297,plain,
( ~ sQ70_spl
| ~ sQ294_spl
| ~ sQ174_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f4296]) ).
fof(f4331,plain,
( ~ sQ136_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f4127,f802,f1298,f1497,f640,f1271,f985]) ).
fof(f4347,plain,
( ~ sQ262_spl
| e22 = op2(e21,op2(e20,e20)) ),
inference(forward_demodulation,[status(thm)],[f1438,f2482]) ).
fof(f4348,plain,
( ~ sQ262_spl
| ~ sQ64_spl
| e22 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f699,f4347]) ).
fof(f4349,plain,
( ~ sQ262_spl
| ~ sQ64_spl
| ~ sQ174_spl
| ~ sQ55_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2713,f4348]) ).
fof(f4350,plain,
( ~ sQ262_spl
| ~ sQ64_spl
| ~ sQ174_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4349,f221]) ).
fof(f4351,plain,
( ~ sQ262_spl
| ~ sQ64_spl
| ~ sQ174_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f4350]) ).
fof(f4353,plain,
( ~ sQ64_spl
| h2(e12) = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f699,f2482]) ).
fof(f4354,plain,
( ~ sQ64_spl
| ~ sQ174_spl
| ~ sQ55_spl
| h2(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f2713,f4353]) ).
fof(f4362,plain,
( ~ sQ297_spl
| ~ sQ94_spl
| op2(e23,e22) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f796,f1585]) ).
fof(f4363,plain,
( ~ sQ297_spl
| ~ sQ94_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| e20 = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2741,f4362]) ).
fof(f4364,plain,
( ~ sQ297_spl
| ~ sQ94_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f796,f4363]) ).
fof(f4365,plain,
( ~ sQ297_spl
| ~ sQ94_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4364,f219]) ).
fof(f4366,plain,
( ~ sQ297_spl
| ~ sQ94_spl
| ~ sQ221_spl
| ~ sQ56_spl
| ~ sQ276_spl
| ~ sQ229_spl ),
inference(contradiction_clause,[status(thm)],[f4365]) ).
fof(f4369,plain,
( ~ sQ134_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f4126,f730,f977]) ).
fof(f4387,plain,
( sQ258_spl
| ~ sQ64_spl
| ~ sQ174_spl
| ~ sQ55_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4354,f1422]) ).
fof(f4388,plain,
( sQ258_spl
| ~ sQ64_spl
| ~ sQ174_spl
| ~ sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4387]) ).
fof(f4389,plain,
( sQ258_spl
| ~ sQ64_spl
| ~ sQ174_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f4388]) ).
fof(f4391,plain,
( ~ sQ64_spl
| h1(e10) = op2(e20,op2(e20,e20)) ),
inference(forward_demodulation,[status(thm)],[f699,f293]) ).
fof(f4392,plain,
( ~ sQ64_spl
| h1(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f699,f4391]) ).
fof(f4393,plain,
( ~ sQ64_spl
| h1(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f699,f4392]) ).
fof(f4394,plain,
( ~ sQ64_spl
| sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4393,f4219]) ).
fof(f4395,plain,
( ~ sQ64_spl
| sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f4394]) ).
fof(f4396,plain,
( ~ sQ64_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f4393,f1344,f698]) ).
fof(f4397,plain,
( ~ sQ143_spl
| h1(e10) = op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f2395,f1026]) ).
fof(f4398,plain,
( ~ sQ143_spl
| ~ sQ64_spl
| h1(e10) = op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3002,f4397]) ).
fof(f4399,plain,
( ~ sQ143_spl
| ~ sQ64_spl
| h1(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3002,f4398]) ).
fof(f4400,plain,
( ~ sQ143_spl
| ~ sQ64_spl
| h1(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f699,f4399]) ).
fof(f4403,plain,
( ~ sQ64_spl
| h1(e12) = op2(e20,op2(e20,op2(e20,e20))) ),
inference(forward_demodulation,[status(thm)],[f699,f295]) ).
fof(f4404,plain,
( ~ sQ64_spl
| h1(e12) = op2(e20,op2(e20,e20)) ),
inference(forward_demodulation,[status(thm)],[f699,f4403]) ).
fof(f4405,plain,
( ~ sQ64_spl
| h1(e12) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f699,f4404]) ).
fof(f4408,plain,
( ~ sQ64_spl
| h1(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f699,f4405]) ).
fof(f4478,plain,
( sQ214_spl
| ~ sQ229_spl
| ~ sQ94_spl
| ~ sQ30_spl
| h4(e12) != e22 ),
inference(backward_demodulation,[status(thm)],[f556,f3470]) ).
fof(f4479,plain,
( sQ214_spl
| ~ sQ229_spl
| ~ sQ94_spl
| ~ sQ30_spl
| ~ sQ286_spl ),
inference(split_clause,[status(thm)],[f4478,f1539,f555,f795,f1298,f1250]) ).
fof(f4487,plain,
( sQ172_spl
| ~ sQ44_spl
| h2(e10) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f602,f2755]) ).
fof(f4488,plain,
( sQ172_spl
| ~ sQ44_spl
| ~ sQ64_spl
| e20 != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f3045,f4487]) ).
fof(f4489,plain,
( sQ172_spl
| ~ sQ44_spl
| ~ sQ64_spl
| ~ sQ174_spl
| ~ sQ55_spl
| e20 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4354,f4488]) ).
fof(f4490,plain,
( sQ172_spl
| ~ sQ44_spl
| ~ sQ64_spl
| ~ sQ174_spl
| ~ sQ55_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2434,f4489]) ).
fof(f4491,plain,
( sQ172_spl
| ~ sQ44_spl
| ~ sQ64_spl
| ~ sQ174_spl
| ~ sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4490]) ).
fof(f4492,plain,
( sQ172_spl
| ~ sQ44_spl
| ~ sQ64_spl
| ~ sQ174_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f4491]) ).
fof(f4495,plain,
( sQ169_spl
| ~ sQ64_spl
| ~ sQ35_spl
| h2(e13) != op2(h2(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f572,f3094]) ).
fof(f4496,plain,
( sQ169_spl
| ~ sQ64_spl
| ~ sQ35_spl
| e21 != op2(h2(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f296,f4495]) ).
fof(f4497,plain,
( sQ169_spl
| ~ sQ64_spl
| ~ sQ35_spl
| ~ sQ174_spl
| ~ sQ55_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f4354,f4496]) ).
fof(f4498,plain,
( sQ169_spl
| ~ sQ64_spl
| ~ sQ35_spl
| ~ sQ174_spl
| ~ sQ55_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2713,f4497]) ).
fof(f4499,plain,
( sQ169_spl
| ~ sQ64_spl
| ~ sQ35_spl
| ~ sQ174_spl
| ~ sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4498]) ).
fof(f4500,plain,
( sQ169_spl
| ~ sQ64_spl
| ~ sQ35_spl
| ~ sQ174_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f4499]) ).
fof(f4501,plain,
( sQ152_spl
| ~ sQ56_spl
| ~ sQ143_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f4400,f3533]) ).
fof(f4502,plain,
( sQ152_spl
| ~ sQ56_spl
| ~ sQ143_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4408,f4501]) ).
fof(f4503,plain,
( sQ152_spl
| ~ sQ56_spl
| ~ sQ143_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f4502]) ).
fof(f4504,plain,
( sQ152_spl
| ~ sQ56_spl
| ~ sQ143_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4503]) ).
fof(f4505,plain,
( sQ152_spl
| ~ sQ56_spl
| ~ sQ143_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4504]) ).
fof(f4506,plain,
( sQ149_spl
| ~ sQ44_spl
| h1(e10) != op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f602,f2783]) ).
fof(f4507,plain,
( sQ149_spl
| ~ sQ44_spl
| ~ sQ143_spl
| ~ sQ64_spl
| e20 != op2(h1(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f4400,f4506]) ).
fof(f4508,plain,
( sQ149_spl
| ~ sQ44_spl
| ~ sQ143_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4408,f4507]) ).
fof(f4509,plain,
( sQ149_spl
| ~ sQ44_spl
| ~ sQ143_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f4508]) ).
fof(f4510,plain,
( sQ149_spl
| ~ sQ44_spl
| ~ sQ143_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4509]) ).
fof(f4511,plain,
( sQ149_spl
| ~ sQ44_spl
| ~ sQ143_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4510]) ).
fof(f4512,plain,
( sQ146_spl
| ~ sQ35_spl
| h1(e13) != op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f572,f1036]) ).
fof(f4513,plain,
( sQ146_spl
| ~ sQ35_spl
| e20 != op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f292,f4512]) ).
fof(f4514,plain,
( sQ146_spl
| ~ sQ35_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f4408,f4513]) ).
fof(f4515,plain,
( sQ146_spl
| ~ sQ35_spl
| ~ sQ64_spl
| ~ sQ143_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4400,f4514]) ).
fof(f4516,plain,
( sQ146_spl
| ~ sQ35_spl
| ~ sQ64_spl
| ~ sQ143_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f4515]) ).
fof(f4517,plain,
( sQ146_spl
| ~ sQ35_spl
| ~ sQ64_spl
| ~ sQ143_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4516]) ).
fof(f4518,plain,
( sQ146_spl
| ~ sQ35_spl
| ~ sQ64_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f4517]) ).
fof(f4519,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ64_spl
| ~ sQ143_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4400,f4173]) ).
fof(f4520,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ64_spl
| ~ sQ143_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f4519]) ).
fof(f4521,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ64_spl
| ~ sQ143_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4520]) ).
fof(f4522,plain,
( sQ142_spl
| ~ sQ17_spl
| ~ sQ64_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f4521]) ).
fof(f4523,plain,
( sQ140_spl
| ~ sQ9_spl
| h1(e11) != op2(h1(e10),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f488,f1018]) ).
fof(f4524,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3002,f4523]) ).
fof(f4525,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ64_spl
| ~ sQ143_spl
| e20 != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f4400,f4524]) ).
fof(f4526,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ64_spl
| ~ sQ143_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4408,f4525]) ).
fof(f4527,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ64_spl
| ~ sQ143_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f4526]) ).
fof(f4528,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ64_spl
| ~ sQ143_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4527]) ).
fof(f4529,plain,
( sQ140_spl
| ~ sQ9_spl
| ~ sQ64_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f4528]) ).
fof(f4530,plain,
( sQ138_spl
| ~ sQ0_spl
| h1(e10) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f459,f1012]) ).
fof(f4531,plain,
( sQ138_spl
| ~ sQ0_spl
| ~ sQ143_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f4400,f4530]) ).
fof(f4532,plain,
( sQ138_spl
| ~ sQ0_spl
| ~ sQ143_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f4400,f4531]) ).
fof(f4533,plain,
( sQ138_spl
| ~ sQ0_spl
| ~ sQ143_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4400,f4532]) ).
fof(f4534,plain,
( sQ138_spl
| ~ sQ0_spl
| ~ sQ143_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f699,f4533]) ).
fof(f4535,plain,
( sQ138_spl
| ~ sQ0_spl
| ~ sQ143_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4534]) ).
fof(f4536,plain,
( sQ138_spl
| ~ sQ0_spl
| ~ sQ143_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4535]) ).
fof(f4557,plain,
( sQ236_spl
| ~ sQ99_spl
| op2(e20,e23) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f812,f1328]) ).
fof(f4558,plain,
( sQ236_spl
| ~ sQ99_spl
| ~ sQ79_spl
| e23 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f747,f4557]) ).
fof(f4559,plain,
( sQ236_spl
| ~ sQ99_spl
| ~ sQ79_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f812,f4558]) ).
fof(f4560,plain,
( sQ236_spl
| ~ sQ99_spl
| ~ sQ79_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4559]) ).
fof(f4561,plain,
( sQ236_spl
| ~ sQ99_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f4560]) ).
fof(f4562,plain,
$false,
inference(sat_refutation,[status(thm)],[f483,f509,f600,f613,f626,f667,f668,f670,f672,f673,f677,f678,f679,f680,f682,f685,f687,f688,f689,f690,f691,f695,f697,f723,f736,f749,f788,f801,f840,f906,f907,f908,f910,f912,f913,f917,f919,f920,f922,f924,f925,f927,f928,f930,f931,f935,f944,f948,f952,f957,f959,f960,f961,f962,f964,f966,f967,f969,f971,f972,f980,f984,f988,f993,f996,f997,f998,f1002,f1005,f1007,f1301,f1308,f1312,f1316,f1321,f1329,f1333,f1337,f1342,f1347,f1364,f1377,f1389,f1394,f1402,f1427,f1445,f1462,f1470,f1479,f1495,f1500,f1521,f1542,f1554,f1562,f1568,f1575,f1583,f1589,f1593,f1601,f1610,f1618,f1626,f1646,f1649,f1658,f1662,f1665,f1668,f1671,f1675,f1693,f1697,f1704,f1708,f1717,f1728,f1735,f1747,f1756,f1759,f1763,f1781,f1784,f1795,f1798,f1839,f1844,f1853,f1861,f1862,f1865,f1904,f1911,f1915,f1923,f1941,f1944,f1948,f1951,f1972,f1981,f1996,f2006,f2018,f2028,f2032,f2035,f2038,f2042,f2059,f2098,f2114,f2123,f2128,f2136,f2139,f2143,f2149,f2151,f2152,f2161,f2165,f2166,f2167,f2170,f2171,f2172,f2173,f2177,f2180,f2197,f2198,f2199,f2202,f2204,f2207,f2211,f2214,f2217,f2225,f2234,f2249,f2253,f2256,f2258,f2260,f2264,f2267,f2272,f2273,f2276,f2289,f2294,f2297,f2301,f2308,f2311,f2323,f2324,f2325,f2328,f2329,f2343,f2346,f2373,f2376,f2378,f2388,f2401,f2403,f2404,f2427,f2463,f2469,f2480,f2501,f2505,f2509,f2512,f2514,f2523,f2536,f2540,f2544,f2550,f2553,f2560,f2567,f2577,f2588,f2612,f2631,f2654,f2659,f2667,f2708,f2709,f2726,f2731,f2733,f2736,f2737,f2742,f2745,f2781,f2792,f2818,f2869,f2880,f2911,f2925,f2935,f2941,f3001,f3021,f3033,f3044,f3061,f3064,f3071,f3077,f3093,f3118,f3126,f3155,f3162,f3163,f3165,f3179,f3218,f3226,f3234,f3241,f3293,f3301,f3308,f3319,f3334,f3347,f3348,f3367,f3369,f3371,f3376,f3381,f3389,f3411,f3424,f3462,f3517,f3521,f3526,f3541,f3549,f3557,f3603,f3607,f3637,f3737,f3767,f3822,f3837,f3838,f3862,f3868,f3881,f3906,f3925,f3930,f3961,f4011,f4057,f4065,f4088,f4096,f4102,f4104,f4116,f4234,f4244,f4252,f4253,f4271,f4297,f4331,f4351,f4366,f4369,f4389,f4395,f4396,f4479,f4492,f4500,f4505,f4511,f4518,f4522,f4529,f4536,f4561]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG125+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 12:56:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.96/0.67 % Refutation found
% 0.96/0.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.96/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.28/0.70 % Elapsed time: 0.329170 seconds
% 0.28/0.70 % CPU time: 2.069612 seconds
% 0.28/0.70 % Total memory used: 156.914 MB
% 0.28/0.70 % Net memory used: 155.670 MB
%------------------------------------------------------------------------------