%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG053+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:47:56 AM UTC 2026
% Result : Theorem 16.41s 2.83s
% Output : CNFRefutation 16.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 620
% Syntax : Number of formulae : 3393 ( 346 unt; 600 def)
% Number of atoms : 12820 (6972 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 15929 (6502 ~;6224 |;2557 &)
% ( 646 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 602 ( 600 usr; 601 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e14,e14) = e14
| op1(e14,e14) = e13
| op1(e14,e14) = e12
| op1(e14,e14) = e11
| op1(e14,e14) = e10 )
& ( op1(e14,e13) = e14
| op1(e14,e13) = e13
| op1(e14,e13) = e12
| op1(e14,e13) = e11
| op1(e14,e13) = e10 )
& ( op1(e14,e12) = e14
| op1(e14,e12) = e13
| op1(e14,e12) = e12
| op1(e14,e12) = e11
| op1(e14,e12) = e10 )
& ( op1(e14,e11) = e14
| op1(e14,e11) = e13
| op1(e14,e11) = e12
| op1(e14,e11) = e11
| op1(e14,e11) = e10 )
& ( op1(e14,e10) = e14
| op1(e14,e10) = e13
| op1(e14,e10) = e12
| op1(e14,e10) = e11
| op1(e14,e10) = e10 )
& ( op1(e13,e14) = e14
| op1(e13,e14) = e13
| op1(e13,e14) = e12
| op1(e13,e14) = e11
| op1(e13,e14) = e10 )
& ( op1(e13,e13) = e14
| op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e14
| op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e14
| op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e14
| op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e14) = e14
| op1(e12,e14) = e13
| op1(e12,e14) = e12
| op1(e12,e14) = e11
| op1(e12,e14) = e10 )
& ( op1(e12,e13) = e14
| op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e14
| op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e14
| op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e14
| op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e14) = e14
| op1(e11,e14) = e13
| op1(e11,e14) = e12
| op1(e11,e14) = e11
| op1(e11,e14) = e10 )
& ( op1(e11,e13) = e14
| op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e14
| op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e14
| op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e14
| op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e14) = e14
| op1(e10,e14) = e13
| op1(e10,e14) = e12
| op1(e10,e14) = e11
| op1(e10,e14) = e10 )
& ( op1(e10,e13) = e14
| op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e14
| op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e14
| op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e14
| op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( unit1 = e14
| unit1 = e13
| unit1 = e12
| unit1 = e11
| unit1 = e10 )
& op1(e14,unit1) = e14
& op1(unit1,e14) = e14
& op1(e13,unit1) = e13
& op1(unit1,e13) = e13
& op1(e12,unit1) = e12
& op1(unit1,e12) = e12
& op1(e11,unit1) = e11
& op1(unit1,e11) = e11
& op1(e10,unit1) = e10
& op1(unit1,e10) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op1(e14,e14) = e14
| op1(e13,e14) = e14
| op1(e12,e14) = e14
| op1(e11,e14) = e14
| op1(e10,e14) = e14 )
& ( op1(e14,e14) = e14
| op1(e14,e13) = e14
| op1(e14,e12) = e14
| op1(e14,e11) = e14
| op1(e14,e10) = e14 )
& ( op1(e14,e14) = e13
| op1(e13,e14) = e13
| op1(e12,e14) = e13
| op1(e11,e14) = e13
| op1(e10,e14) = e13 )
& ( op1(e14,e14) = e13
| op1(e14,e13) = e13
| op1(e14,e12) = e13
| op1(e14,e11) = e13
| op1(e14,e10) = e13 )
& ( op1(e14,e14) = e12
| op1(e13,e14) = e12
| op1(e12,e14) = e12
| op1(e11,e14) = e12
| op1(e10,e14) = e12 )
& ( op1(e14,e14) = e12
| op1(e14,e13) = e12
| op1(e14,e12) = e12
| op1(e14,e11) = e12
| op1(e14,e10) = e12 )
& ( op1(e14,e14) = e11
| op1(e13,e14) = e11
| op1(e12,e14) = e11
| op1(e11,e14) = e11
| op1(e10,e14) = e11 )
& ( op1(e14,e14) = e11
| op1(e14,e13) = e11
| op1(e14,e12) = e11
| op1(e14,e11) = e11
| op1(e14,e10) = e11 )
& ( op1(e14,e14) = e10
| op1(e13,e14) = e10
| op1(e12,e14) = e10
| op1(e11,e14) = e10
| op1(e10,e14) = e10 )
& ( op1(e14,e14) = e10
| op1(e14,e13) = e10
| op1(e14,e12) = e10
| op1(e14,e11) = e10
| op1(e14,e10) = e10 )
& ( op1(e14,e13) = e14
| op1(e13,e13) = e14
| op1(e12,e13) = e14
| op1(e11,e13) = e14
| op1(e10,e13) = e14 )
& ( op1(e13,e14) = e14
| op1(e13,e13) = e14
| op1(e13,e12) = e14
| op1(e13,e11) = e14
| op1(e13,e10) = e14 )
& ( op1(e14,e13) = e13
| op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e14) = e13
| op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e14,e13) = e12
| op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e14) = e12
| op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e14,e13) = e11
| op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e14) = e11
| op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e14,e13) = e10
| op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e14) = e10
| op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e14,e12) = e14
| op1(e13,e12) = e14
| op1(e12,e12) = e14
| op1(e11,e12) = e14
| op1(e10,e12) = e14 )
& ( op1(e12,e14) = e14
| op1(e12,e13) = e14
| op1(e12,e12) = e14
| op1(e12,e11) = e14
| op1(e12,e10) = e14 )
& ( op1(e14,e12) = e13
| op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e14) = e13
| op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e14,e12) = e12
| op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e14) = e12
| op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e14,e12) = e11
| op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e14) = e11
| op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e14,e12) = e10
| op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e14) = e10
| op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e14,e11) = e14
| op1(e13,e11) = e14
| op1(e12,e11) = e14
| op1(e11,e11) = e14
| op1(e10,e11) = e14 )
& ( op1(e11,e14) = e14
| op1(e11,e13) = e14
| op1(e11,e12) = e14
| op1(e11,e11) = e14
| op1(e11,e10) = e14 )
& ( op1(e14,e11) = e13
| op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e14) = e13
| op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e14,e11) = e12
| op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e14) = e12
| op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e14,e11) = e11
| op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e14) = e11
| op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e14,e11) = e10
| op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e14) = e10
| op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e14,e10) = e14
| op1(e13,e10) = e14
| op1(e12,e10) = e14
| op1(e11,e10) = e14
| op1(e10,e10) = e14 )
& ( op1(e10,e14) = e14
| op1(e10,e13) = e14
| op1(e10,e12) = e14
| op1(e10,e11) = e14
| op1(e10,e10) = e14 )
& ( op1(e14,e10) = e13
| op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e14) = e13
| op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e14,e10) = e12
| op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e14) = e12
| op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e14,e10) = e11
| op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e14) = e11
| op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e14,e10) = e10
| op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e14) = e10
| op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e24,e24) = e24
| op2(e24,e24) = e23
| op2(e24,e24) = e22
| op2(e24,e24) = e21
| op2(e24,e24) = e20 )
& ( op2(e24,e23) = e24
| op2(e24,e23) = e23
| op2(e24,e23) = e22
| op2(e24,e23) = e21
| op2(e24,e23) = e20 )
& ( op2(e24,e22) = e24
| op2(e24,e22) = e23
| op2(e24,e22) = e22
| op2(e24,e22) = e21
| op2(e24,e22) = e20 )
& ( op2(e24,e21) = e24
| op2(e24,e21) = e23
| op2(e24,e21) = e22
| op2(e24,e21) = e21
| op2(e24,e21) = e20 )
& ( op2(e24,e20) = e24
| op2(e24,e20) = e23
| op2(e24,e20) = e22
| op2(e24,e20) = e21
| op2(e24,e20) = e20 )
& ( op2(e23,e24) = e24
| op2(e23,e24) = e23
| op2(e23,e24) = e22
| op2(e23,e24) = e21
| op2(e23,e24) = e20 )
& ( op2(e23,e23) = e24
| op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e24
| op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e24
| op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e24
| op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e24) = e24
| op2(e22,e24) = e23
| op2(e22,e24) = e22
| op2(e22,e24) = e21
| op2(e22,e24) = e20 )
& ( op2(e22,e23) = e24
| op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e24
| op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e24
| op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e24
| op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e24) = e24
| op2(e21,e24) = e23
| op2(e21,e24) = e22
| op2(e21,e24) = e21
| op2(e21,e24) = e20 )
& ( op2(e21,e23) = e24
| op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e24
| op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e24
| op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e24
| op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e24) = e24
| op2(e20,e24) = e23
| op2(e20,e24) = e22
| op2(e20,e24) = e21
| op2(e20,e24) = e20 )
& ( op2(e20,e23) = e24
| op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e24
| op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e24
| op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e24
| op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( ( unit2 = e24
| unit2 = e23
| unit2 = e22
| unit2 = e21
| unit2 = e20 )
& op2(e24,unit2) = e24
& op2(unit2,e24) = e24
& op2(e23,unit2) = e23
& op2(unit2,e23) = e23
& op2(e22,unit2) = e22
& op2(unit2,e22) = e22
& op2(e21,unit2) = e21
& op2(unit2,e21) = e21
& op2(e20,unit2) = e20
& op2(unit2,e20) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( ( op2(e24,e24) = e24
| op2(e23,e24) = e24
| op2(e22,e24) = e24
| op2(e21,e24) = e24
| op2(e20,e24) = e24 )
& ( op2(e24,e24) = e24
| op2(e24,e23) = e24
| op2(e24,e22) = e24
| op2(e24,e21) = e24
| op2(e24,e20) = e24 )
& ( op2(e24,e24) = e23
| op2(e23,e24) = e23
| op2(e22,e24) = e23
| op2(e21,e24) = e23
| op2(e20,e24) = e23 )
& ( op2(e24,e24) = e23
| op2(e24,e23) = e23
| op2(e24,e22) = e23
| op2(e24,e21) = e23
| op2(e24,e20) = e23 )
& ( op2(e24,e24) = e22
| op2(e23,e24) = e22
| op2(e22,e24) = e22
| op2(e21,e24) = e22
| op2(e20,e24) = e22 )
& ( op2(e24,e24) = e22
| op2(e24,e23) = e22
| op2(e24,e22) = e22
| op2(e24,e21) = e22
| op2(e24,e20) = e22 )
& ( op2(e24,e24) = e21
| op2(e23,e24) = e21
| op2(e22,e24) = e21
| op2(e21,e24) = e21
| op2(e20,e24) = e21 )
& ( op2(e24,e24) = e21
| op2(e24,e23) = e21
| op2(e24,e22) = e21
| op2(e24,e21) = e21
| op2(e24,e20) = e21 )
& ( op2(e24,e24) = e20
| op2(e23,e24) = e20
| op2(e22,e24) = e20
| op2(e21,e24) = e20
| op2(e20,e24) = e20 )
& ( op2(e24,e24) = e20
| op2(e24,e23) = e20
| op2(e24,e22) = e20
| op2(e24,e21) = e20
| op2(e24,e20) = e20 )
& ( op2(e24,e23) = e24
| op2(e23,e23) = e24
| op2(e22,e23) = e24
| op2(e21,e23) = e24
| op2(e20,e23) = e24 )
& ( op2(e23,e24) = e24
| op2(e23,e23) = e24
| op2(e23,e22) = e24
| op2(e23,e21) = e24
| op2(e23,e20) = e24 )
& ( op2(e24,e23) = e23
| op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e24) = e23
| op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e24,e23) = e22
| op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e24) = e22
| op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e24,e23) = e21
| op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e24) = e21
| op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e24,e23) = e20
| op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e24) = e20
| op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e24,e22) = e24
| op2(e23,e22) = e24
| op2(e22,e22) = e24
| op2(e21,e22) = e24
| op2(e20,e22) = e24 )
& ( op2(e22,e24) = e24
| op2(e22,e23) = e24
| op2(e22,e22) = e24
| op2(e22,e21) = e24
| op2(e22,e20) = e24 )
& ( op2(e24,e22) = e23
| op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e24) = e23
| op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e24,e22) = e22
| op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e24) = e22
| op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e24,e22) = e21
| op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e24) = e21
| op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e24,e22) = e20
| op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e24) = e20
| op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e24,e21) = e24
| op2(e23,e21) = e24
| op2(e22,e21) = e24
| op2(e21,e21) = e24
| op2(e20,e21) = e24 )
& ( op2(e21,e24) = e24
| op2(e21,e23) = e24
| op2(e21,e22) = e24
| op2(e21,e21) = e24
| op2(e21,e20) = e24 )
& ( op2(e24,e21) = e23
| op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e24) = e23
| op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e24,e21) = e22
| op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e24) = e22
| op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e24,e21) = e21
| op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e24) = e21
| op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e24,e21) = e20
| op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e24) = e20
| op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e24,e20) = e24
| op2(e23,e20) = e24
| op2(e22,e20) = e24
| op2(e21,e20) = e24
| op2(e20,e20) = e24 )
& ( op2(e20,e24) = e24
| op2(e20,e23) = e24
| op2(e20,e22) = e24
| op2(e20,e21) = e24
| op2(e20,e20) = e24 )
& ( op2(e24,e20) = e23
| op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e24) = e23
| op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e24,e20) = e22
| op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e24) = e22
| op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e24,e20) = e21
| op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e24) = e21
| op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e24,e20) = e20
| op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e24) = e20
| op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( op1(e14,e13) != op1(e14,e14)
& op1(e14,e12) != op1(e14,e14)
& op1(e14,e12) != op1(e14,e13)
& op1(e14,e11) != op1(e14,e14)
& op1(e14,e11) != op1(e14,e13)
& op1(e14,e11) != op1(e14,e12)
& op1(e14,e10) != op1(e14,e14)
& op1(e14,e10) != op1(e14,e13)
& op1(e14,e10) != op1(e14,e12)
& op1(e14,e10) != op1(e14,e11)
& op1(e13,e13) != op1(e13,e14)
& op1(e13,e12) != op1(e13,e14)
& op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e14)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e14)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e13) != op1(e12,e14)
& op1(e12,e12) != op1(e12,e14)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e14)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e14)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e13) != op1(e11,e14)
& op1(e11,e12) != op1(e11,e14)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e14)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e14)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e13) != op1(e10,e14)
& op1(e10,e12) != op1(e10,e14)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e14)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e14)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e13,e14) != op1(e14,e14)
& op1(e12,e14) != op1(e14,e14)
& op1(e12,e14) != op1(e13,e14)
& op1(e11,e14) != op1(e14,e14)
& op1(e11,e14) != op1(e13,e14)
& op1(e11,e14) != op1(e12,e14)
& op1(e10,e14) != op1(e14,e14)
& op1(e10,e14) != op1(e13,e14)
& op1(e10,e14) != op1(e12,e14)
& op1(e10,e14) != op1(e11,e14)
& op1(e13,e13) != op1(e14,e13)
& op1(e12,e13) != op1(e14,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e14,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e14,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e13,e12) != op1(e14,e12)
& op1(e12,e12) != op1(e14,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e14,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e14,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e13,e11) != op1(e14,e11)
& op1(e12,e11) != op1(e14,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e14,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e14,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e13,e10) != op1(e14,e10)
& op1(e12,e10) != op1(e14,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e14,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e14,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( op2(e24,e23) != op2(e24,e24)
& op2(e24,e22) != op2(e24,e24)
& op2(e24,e22) != op2(e24,e23)
& op2(e24,e21) != op2(e24,e24)
& op2(e24,e21) != op2(e24,e23)
& op2(e24,e21) != op2(e24,e22)
& op2(e24,e20) != op2(e24,e24)
& op2(e24,e20) != op2(e24,e23)
& op2(e24,e20) != op2(e24,e22)
& op2(e24,e20) != op2(e24,e21)
& op2(e23,e23) != op2(e23,e24)
& op2(e23,e22) != op2(e23,e24)
& op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e24)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e24)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e23) != op2(e22,e24)
& op2(e22,e22) != op2(e22,e24)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e24)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e24)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e23) != op2(e21,e24)
& op2(e21,e22) != op2(e21,e24)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e24)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e24)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e23) != op2(e20,e24)
& op2(e20,e22) != op2(e20,e24)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e24)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e24)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e23,e24) != op2(e24,e24)
& op2(e22,e24) != op2(e24,e24)
& op2(e22,e24) != op2(e23,e24)
& op2(e21,e24) != op2(e24,e24)
& op2(e21,e24) != op2(e23,e24)
& op2(e21,e24) != op2(e22,e24)
& op2(e20,e24) != op2(e24,e24)
& op2(e20,e24) != op2(e23,e24)
& op2(e20,e24) != op2(e22,e24)
& op2(e20,e24) != op2(e21,e24)
& op2(e23,e23) != op2(e24,e23)
& op2(e22,e23) != op2(e24,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e24,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e24,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e23,e22) != op2(e24,e22)
& op2(e22,e22) != op2(e24,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e24,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e24,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e23,e21) != op2(e24,e21)
& op2(e22,e21) != op2(e24,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e24,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e24,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e23,e20) != op2(e24,e20)
& op2(e22,e20) != op2(e24,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e24,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e24,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( ( op1(op1(e14,e14),e14) != e14
& op1(op1(e14,e14),e14) = e14
& op1(e14,e14) != op1(e14,e14) )
| ( op1(op1(e14,e13),e14) != e13
& op1(op1(e14,e13),e13) = e14
& op1(e13,e14) != op1(e14,e13) )
| ( op1(op1(e14,e12),e14) != e12
& op1(op1(e14,e12),e12) = e14
& op1(e12,e14) != op1(e14,e12) )
| ( op1(op1(e14,e11),e14) != e11
& op1(op1(e14,e11),e11) = e14
& op1(e11,e14) != op1(e14,e11) )
| ( op1(op1(e14,e10),e14) != e10
& op1(op1(e14,e10),e10) = e14
& op1(e10,e14) != op1(e14,e10) )
| ( op1(op1(e13,e14),e13) != e14
& op1(op1(e13,e14),e14) = e13
& op1(e14,e13) != op1(e13,e14) )
| ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,e13) != op1(e13,e13) )
| ( op1(op1(e13,e12),e13) != e12
& op1(op1(e13,e12),e12) = e13
& op1(e12,e13) != op1(e13,e12) )
| ( op1(op1(e13,e11),e13) != e11
& op1(op1(e13,e11),e11) = e13
& op1(e11,e13) != op1(e13,e11) )
| ( op1(op1(e13,e10),e13) != e10
& op1(op1(e13,e10),e10) = e13
& op1(e10,e13) != op1(e13,e10) )
| ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( ( op2(op2(e24,e24),e24) != e24
& op2(op2(e24,e24),e24) = e24
& op2(e24,e24) != op2(e24,e24) )
| ( op2(op2(e24,e23),e24) != e23
& op2(op2(e24,e23),e23) = e24
& op2(e23,e24) != op2(e24,e23) )
| ( op2(op2(e24,e22),e24) != e22
& op2(op2(e24,e22),e22) = e24
& op2(e22,e24) != op2(e24,e22) )
| ( op2(op2(e24,e21),e24) != e21
& op2(op2(e24,e21),e21) = e24
& op2(e21,e24) != op2(e24,e21) )
| ( op2(op2(e24,e20),e24) != e20
& op2(op2(e24,e20),e20) = e24
& op2(e20,e24) != op2(e24,e20) )
| ( op2(op2(e23,e24),e23) != e24
& op2(op2(e23,e24),e24) = e23
& op2(e24,e23) != op2(e23,e24) )
| ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,e23) != op2(e23,e23) )
| ( op2(op2(e23,e22),e23) != e22
& op2(op2(e23,e22),e22) = e23
& op2(e22,e23) != op2(e23,e22) )
| ( op2(op2(e23,e21),e23) != e21
& op2(op2(e23,e21),e21) = e23
& op2(e21,e23) != op2(e23,e21) )
| ( op2(op2(e23,e20),e23) != e20
& op2(op2(e23,e20),e20) = e23
& op2(e20,e23) != op2(e23,e20) )
| ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( e14 = op1(e13,op1(e13,e13))
& e12 = op1(op1(e13,op1(e13,e13)),e13)
& e11 = op1(e13,e13)
& e10 = op1(e13,op1(op1(e13,op1(e13,e13)),e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( e24 = op2(e23,op2(e23,e23))
& e22 = op2(op2(e23,op2(e23,e23)),e23)
& e21 = op2(e23,e23)
& e20 = op2(e23,op2(op2(e23,op2(e23,e23)),e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h1(e14) = op2(e20,op2(e20,e20))
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,e20)
& h1(e10) = op2(e20,op2(op2(e20,op2(e20,e20)),e20))
& h1(e13) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h2(e14) = op2(e21,op2(e21,e21))
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,e21)
& h2(e10) = op2(e21,op2(op2(e21,op2(e21,e21)),e21))
& h2(e13) = e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( h3(e14) = op2(e22,op2(e22,e22))
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,e22)
& h3(e10) = op2(e22,op2(op2(e22,op2(e22,e22)),e22))
& h3(e13) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
( h4(e14) = op2(e23,op2(e23,e23))
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,e23)
& h4(e10) = op2(e23,op2(op2(e23,op2(e23,e23)),e23))
& h4(e13) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( h5(e14) = op2(e24,op2(e24,e24))
& h5(e12) = op2(op2(e24,op2(e24,e24)),e24)
& h5(e11) = op2(e24,e24)
& h5(e10) = op2(e24,op2(op2(e24,op2(e24,e24)),e24))
& h5(e13) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,conjecture,
( ( ( h5(e14) = e24
| h5(e13) = e24
| h5(e12) = e24
| h5(e11) = e24
| h5(e10) = e24 )
& ( h5(e14) = e23
| h5(e13) = e23
| h5(e12) = e23
| h5(e11) = e23
| h5(e10) = e23 )
& ( h5(e14) = e22
| h5(e13) = e22
| h5(e12) = e22
| h5(e11) = e22
| h5(e10) = e22 )
& ( h5(e14) = e21
| h5(e13) = e21
| h5(e12) = e21
| h5(e11) = e21
| h5(e10) = e21 )
& ( h5(e14) = e20
| h5(e13) = e20
| h5(e12) = e20
| h5(e11) = e20
| h5(e10) = e20 )
& h5(op1(e14,e14)) = op2(h5(e14),h5(e14))
& h5(op1(e14,e13)) = op2(h5(e14),h5(e13))
& h5(op1(e14,e12)) = op2(h5(e14),h5(e12))
& h5(op1(e14,e11)) = op2(h5(e14),h5(e11))
& h5(op1(e14,e10)) = op2(h5(e14),h5(e10))
& h5(op1(e13,e14)) = op2(h5(e13),h5(e14))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e12,e14)) = op2(h5(e12),h5(e14))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e11,e14)) = op2(h5(e11),h5(e14))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e10,e14)) = op2(h5(e10),h5(e14))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
| ( ( h4(e14) = e24
| h4(e13) = e24
| h4(e12) = e24
| h4(e11) = e24
| h4(e10) = e24 )
& ( h4(e14) = e23
| h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e14) = e22
| h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e14) = e21
| h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e14) = e20
| h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e14,e14)) = op2(h4(e14),h4(e14))
& h4(op1(e14,e13)) = op2(h4(e14),h4(e13))
& h4(op1(e14,e12)) = op2(h4(e14),h4(e12))
& h4(op1(e14,e11)) = op2(h4(e14),h4(e11))
& h4(op1(e14,e10)) = op2(h4(e14),h4(e10))
& h4(op1(e13,e14)) = op2(h4(e13),h4(e14))
& 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,e14)) = op2(h4(e12),h4(e14))
& 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,e14)) = op2(h4(e11),h4(e14))
& 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,e14)) = op2(h4(e10),h4(e14))
& 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(e14) = e24
| h3(e13) = e24
| h3(e12) = e24
| h3(e11) = e24
| h3(e10) = e24 )
& ( h3(e14) = e23
| h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e14) = e22
| h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e14) = e21
| h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e14) = e20
| h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e14,e14)) = op2(h3(e14),h3(e14))
& h3(op1(e14,e13)) = op2(h3(e14),h3(e13))
& h3(op1(e14,e12)) = op2(h3(e14),h3(e12))
& h3(op1(e14,e11)) = op2(h3(e14),h3(e11))
& h3(op1(e14,e10)) = op2(h3(e14),h3(e10))
& h3(op1(e13,e14)) = op2(h3(e13),h3(e14))
& 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,e14)) = op2(h3(e12),h3(e14))
& 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,e14)) = op2(h3(e11),h3(e14))
& 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,e14)) = op2(h3(e10),h3(e14))
& 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(e14) = e24
| h2(e13) = e24
| h2(e12) = e24
| h2(e11) = e24
| h2(e10) = e24 )
& ( h2(e14) = e23
| h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e14) = e22
| h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e14) = e21
| h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e14) = e20
| h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e14,e14)) = op2(h2(e14),h2(e14))
& h2(op1(e14,e13)) = op2(h2(e14),h2(e13))
& h2(op1(e14,e12)) = op2(h2(e14),h2(e12))
& h2(op1(e14,e11)) = op2(h2(e14),h2(e11))
& h2(op1(e14,e10)) = op2(h2(e14),h2(e10))
& h2(op1(e13,e14)) = op2(h2(e13),h2(e14))
& 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,e14)) = op2(h2(e12),h2(e14))
& 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,e14)) = op2(h2(e11),h2(e14))
& 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,e14)) = op2(h2(e10),h2(e14))
& 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(e14) = e24
| h1(e13) = e24
| h1(e12) = e24
| h1(e11) = e24
| h1(e10) = e24 )
& ( h1(e14) = e23
| h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e14) = e22
| h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e14) = e21
| h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e14) = e20
| h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e14,e14)) = op2(h1(e14),h1(e14))
& h1(op1(e14,e13)) = op2(h1(e14),h1(e13))
& h1(op1(e14,e12)) = op2(h1(e14),h1(e12))
& h1(op1(e14,e11)) = op2(h1(e14),h1(e11))
& h1(op1(e14,e10)) = op2(h1(e14),h1(e10))
& h1(op1(e13,e14)) = op2(h1(e13),h1(e14))
& 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,e14)) = op2(h1(e12),h1(e14))
& 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,e14)) = op2(h1(e11),h1(e14))
& 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,e14)) = op2(h1(e10),h1(e14))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ ( ( ( h5(e14) = e24
| h5(e13) = e24
| h5(e12) = e24
| h5(e11) = e24
| h5(e10) = e24 )
& ( h5(e14) = e23
| h5(e13) = e23
| h5(e12) = e23
| h5(e11) = e23
| h5(e10) = e23 )
& ( h5(e14) = e22
| h5(e13) = e22
| h5(e12) = e22
| h5(e11) = e22
| h5(e10) = e22 )
& ( h5(e14) = e21
| h5(e13) = e21
| h5(e12) = e21
| h5(e11) = e21
| h5(e10) = e21 )
& ( h5(e14) = e20
| h5(e13) = e20
| h5(e12) = e20
| h5(e11) = e20
| h5(e10) = e20 )
& h5(op1(e14,e14)) = op2(h5(e14),h5(e14))
& h5(op1(e14,e13)) = op2(h5(e14),h5(e13))
& h5(op1(e14,e12)) = op2(h5(e14),h5(e12))
& h5(op1(e14,e11)) = op2(h5(e14),h5(e11))
& h5(op1(e14,e10)) = op2(h5(e14),h5(e10))
& h5(op1(e13,e14)) = op2(h5(e13),h5(e14))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e12,e14)) = op2(h5(e12),h5(e14))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e11,e14)) = op2(h5(e11),h5(e14))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e10,e14)) = op2(h5(e10),h5(e14))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e10)) = op2(h5(e10),h5(e10)) )
| ( ( h4(e14) = e24
| h4(e13) = e24
| h4(e12) = e24
| h4(e11) = e24
| h4(e10) = e24 )
& ( h4(e14) = e23
| h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e14) = e22
| h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e14) = e21
| h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e14) = e20
| h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e14,e14)) = op2(h4(e14),h4(e14))
& h4(op1(e14,e13)) = op2(h4(e14),h4(e13))
& h4(op1(e14,e12)) = op2(h4(e14),h4(e12))
& h4(op1(e14,e11)) = op2(h4(e14),h4(e11))
& h4(op1(e14,e10)) = op2(h4(e14),h4(e10))
& h4(op1(e13,e14)) = op2(h4(e13),h4(e14))
& 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,e14)) = op2(h4(e12),h4(e14))
& 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,e14)) = op2(h4(e11),h4(e14))
& 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,e14)) = op2(h4(e10),h4(e14))
& 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(e14) = e24
| h3(e13) = e24
| h3(e12) = e24
| h3(e11) = e24
| h3(e10) = e24 )
& ( h3(e14) = e23
| h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e14) = e22
| h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e14) = e21
| h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e14) = e20
| h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e14,e14)) = op2(h3(e14),h3(e14))
& h3(op1(e14,e13)) = op2(h3(e14),h3(e13))
& h3(op1(e14,e12)) = op2(h3(e14),h3(e12))
& h3(op1(e14,e11)) = op2(h3(e14),h3(e11))
& h3(op1(e14,e10)) = op2(h3(e14),h3(e10))
& h3(op1(e13,e14)) = op2(h3(e13),h3(e14))
& 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,e14)) = op2(h3(e12),h3(e14))
& 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,e14)) = op2(h3(e11),h3(e14))
& 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,e14)) = op2(h3(e10),h3(e14))
& 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(e14) = e24
| h2(e13) = e24
| h2(e12) = e24
| h2(e11) = e24
| h2(e10) = e24 )
& ( h2(e14) = e23
| h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e14) = e22
| h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e14) = e21
| h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e14) = e20
| h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e14,e14)) = op2(h2(e14),h2(e14))
& h2(op1(e14,e13)) = op2(h2(e14),h2(e13))
& h2(op1(e14,e12)) = op2(h2(e14),h2(e12))
& h2(op1(e14,e11)) = op2(h2(e14),h2(e11))
& h2(op1(e14,e10)) = op2(h2(e14),h2(e10))
& h2(op1(e13,e14)) = op2(h2(e13),h2(e14))
& 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,e14)) = op2(h2(e12),h2(e14))
& 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,e14)) = op2(h2(e11),h2(e14))
& 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,e14)) = op2(h2(e10),h2(e14))
& 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(e14) = e24
| h1(e13) = e24
| h1(e12) = e24
| h1(e11) = e24
| h1(e10) = e24 )
& ( h1(e14) = e23
| h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e14) = e22
| h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e14) = e21
| h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e14) = e20
| h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e14,e14)) = op2(h1(e14),h1(e14))
& h1(op1(e14,e13)) = op2(h1(e14),h1(e13))
& h1(op1(e14,e12)) = op2(h1(e14),h1(e12))
& h1(op1(e14,e11)) = op2(h1(e14),h1(e11))
& h1(op1(e14,e10)) = op2(h1(e14),h1(e10))
& h1(op1(e13,e14)) = op2(h1(e13),h1(e14))
& 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,e14)) = op2(h1(e12),h1(e14))
& 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,e14)) = op2(h1(e11),h1(e14))
& 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,e14)) = op2(h1(e10),h1(e14))
& 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)],[f21]) ).
fof(f31,plain,
( op1(e11,e13) = e14
| op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op1(e11,e14) = e14
| op1(e11,e14) = e13
| op1(e11,e14) = e12
| op1(e11,e14) = e11
| op1(e11,e14) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
( op1(e12,e13) = e14
| op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
( op1(e13,e11) = e14
| op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f41,plain,
( op1(e13,e13) = e14
| op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f44,plain,
( op1(e14,e11) = e14
| op1(e14,e11) = e13
| op1(e14,e11) = e12
| op1(e14,e11) = e11
| op1(e14,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
( op1(e14,e12) = e14
| op1(e14,e12) = e13
| op1(e14,e12) = e12
| op1(e14,e12) = e11
| op1(e14,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f48,plain,
op1(unit1,e10) = e10,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
op1(unit1,e11) = e11,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
op1(e11,unit1) = e11,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
op1(unit1,e12) = e12,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f53,plain,
op1(e12,unit1) = e12,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
op1(unit1,e13) = e13,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
op1(e13,unit1) = e13,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
op1(unit1,e14) = e14,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
op1(e14,unit1) = e14,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( unit1 = e14
| unit1 = e13
| unit1 = e12
| unit1 = e11
| unit1 = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f63,plain,
( op1(e10,e14) = e12
| op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f69,plain,
( op1(e11,e14) = e10
| op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f70,plain,
( op1(e14,e11) = e10
| op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f74,plain,
( op1(e14,e11) = e12
| op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f75,plain,
( op1(e11,e14) = e13
| op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f76,plain,
( op1(e14,e11) = e13
| op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f79,plain,
( op1(e12,e14) = e10
| op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
( op1(e12,e14) = e13
| op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f86,plain,
( op1(e14,e12) = e13
| op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f88,plain,
( op1(e14,e12) = e14
| op1(e13,e12) = e14
| op1(e12,e12) = e14
| op1(e11,e12) = e14
| op1(e10,e12) = e14 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f90,plain,
( op1(e14,e13) = e10
| op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
( op1(e13,e14) = e12
| op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f98,plain,
( op1(e14,e13) = e14
| op1(e13,e13) = e14
| op1(e12,e13) = e14
| op1(e11,e13) = e14
| op1(e10,e13) = e14 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f99,plain,
( op1(e14,e14) = e10
| op1(e14,e13) = e10
| op1(e14,e12) = e10
| op1(e14,e11) = e10
| op1(e14,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f100,plain,
( op1(e14,e14) = e10
| op1(e13,e14) = e10
| op1(e12,e14) = e10
| op1(e11,e14) = e10
| op1(e10,e14) = e10 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f101,plain,
( op1(e14,e14) = e11
| op1(e14,e13) = e11
| op1(e14,e12) = e11
| op1(e14,e11) = e11
| op1(e14,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
( op1(e14,e14) = e11
| op1(e13,e14) = e11
| op1(e12,e14) = e11
| op1(e11,e14) = e11
| op1(e10,e14) = e11 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f106,plain,
( op1(e14,e14) = e13
| op1(e13,e14) = e13
| op1(e12,e14) = e13
| op1(e11,e14) = e13
| op1(e10,e14) = e13 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f111,plain,
( op2(e20,e22) = e24
| op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f112,plain,
( op2(e20,e23) = e24
| op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
( op2(e21,e22) = e24
| op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f117,plain,
( op2(e21,e23) = e24
| op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f118,plain,
( op2(e21,e24) = e24
| op2(e21,e24) = e23
| op2(e21,e24) = e22
| op2(e21,e24) = e21
| op2(e21,e24) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f119,plain,
( op2(e22,e20) = e24
| op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f120,plain,
( op2(e22,e21) = e24
| op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f122,plain,
( op2(e22,e23) = e24
| op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f123,plain,
( op2(e22,e24) = e24
| op2(e22,e24) = e23
| op2(e22,e24) = e22
| op2(e22,e24) = e21
| op2(e22,e24) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f125,plain,
( op2(e23,e21) = e24
| op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f126,plain,
( op2(e23,e22) = e24
| op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f127,plain,
( op2(e23,e23) = e24
| op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f130,plain,
( op2(e24,e21) = e24
| op2(e24,e21) = e23
| op2(e24,e21) = e22
| op2(e24,e21) = e21
| op2(e24,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f131,plain,
( op2(e24,e22) = e24
| op2(e24,e22) = e23
| op2(e24,e22) = e22
| op2(e24,e22) = e21
| op2(e24,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f132,plain,
( op2(e24,e23) = e24
| op2(e24,e23) = e23
| op2(e24,e23) = e22
| op2(e24,e23) = e21
| op2(e24,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f133,plain,
( op2(e24,e24) = e24
| op2(e24,e24) = e23
| op2(e24,e24) = e22
| op2(e24,e24) = e21
| op2(e24,e24) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f134,plain,
op2(unit2,e20) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f135,plain,
op2(e20,unit2) = e20,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f136,plain,
op2(unit2,e21) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f137,plain,
op2(e21,unit2) = e21,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f138,plain,
op2(unit2,e22) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f139,plain,
op2(e22,unit2) = e22,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f140,plain,
op2(unit2,e23) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f141,plain,
op2(e23,unit2) = e23,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op2(unit2,e24) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f143,plain,
op2(e24,unit2) = e24,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
( unit2 = e24
| unit2 = e23
| unit2 = e22
| unit2 = e21
| unit2 = e20 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f146,plain,
( op2(e24,e20) = e20
| op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f147,plain,
( op2(e20,e24) = e21
| op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f152,plain,
( op2(e24,e20) = e23
| op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f156,plain,
( op2(e24,e21) = e20
| op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f160,plain,
( op2(e24,e21) = e22
| op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f161,plain,
( op2(e21,e24) = e23
| op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f162,plain,
( op2(e24,e21) = e23
| op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f163,plain,
( op2(e21,e24) = e24
| op2(e21,e23) = e24
| op2(e21,e22) = e24
| op2(e21,e21) = e24
| op2(e21,e20) = e24 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f165,plain,
( op2(e22,e24) = e20
| op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f167,plain,
( op2(e22,e24) = e21
| op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f172,plain,
( op2(e24,e22) = e23
| op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f179,plain,
( op2(e23,e24) = e22
| op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f185,plain,
( op2(e24,e24) = e20
| op2(e24,e23) = e20
| op2(e24,e22) = e20
| op2(e24,e21) = e20
| op2(e24,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f186,plain,
( op2(e24,e24) = e20
| op2(e23,e24) = e20
| op2(e22,e24) = e20
| op2(e21,e24) = e20
| op2(e20,e24) = e20 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f187,plain,
( op2(e24,e24) = e21
| op2(e24,e23) = e21
| op2(e24,e22) = e21
| op2(e24,e21) = e21
| op2(e24,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f191,plain,
( op2(e24,e24) = e23
| op2(e24,e23) = e23
| op2(e24,e22) = e23
| op2(e24,e21) = e23
| op2(e24,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f192,plain,
( op2(e24,e24) = e23
| op2(e23,e24) = e23
| op2(e22,e24) = e23
| op2(e21,e24) = e23
| op2(e20,e24) = e23 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f195,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f198,plain,
op1(e10,e10) != op1(e14,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f200,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f201,plain,
op1(e11,e10) != op1(e14,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f203,plain,
op1(e12,e10) != op1(e14,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f204,plain,
op1(e13,e10) != op1(e14,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f206,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f207,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f208,plain,
op1(e10,e11) != op1(e14,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f214,plain,
op1(e13,e11) != op1(e14,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f220,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f221,plain,
op1(e11,e12) != op1(e14,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f222,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f224,plain,
op1(e13,e12) != op1(e14,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f226,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f227,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f228,plain,
op1(e10,e13) != op1(e14,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f229,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f230,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f231,plain,
op1(e11,e13) != op1(e14,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f232,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f233,plain,
op1(e12,e13) != op1(e14,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f235,plain,
op1(e10,e14) != op1(e11,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f237,plain,
op1(e10,e14) != op1(e13,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f239,plain,
op1(e11,e14) != op1(e12,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f240,plain,
op1(e11,e14) != op1(e13,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f241,plain,
op1(e11,e14) != op1(e14,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f245,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f248,plain,
op1(e10,e10) != op1(e10,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f254,plain,
op1(e10,e13) != op1(e10,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f256,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f258,plain,
op1(e11,e10) != op1(e11,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f259,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f262,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f263,plain,
op1(e11,e12) != op1(e11,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f264,plain,
op1(e11,e13) != op1(e11,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f265,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f266,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f268,plain,
op1(e12,e10) != op1(e12,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f269,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f272,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f274,plain,
op1(e12,e13) != op1(e12,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f276,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f278,plain,
op1(e13,e10) != op1(e13,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f282,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f284,plain,
op1(e13,e13) != op1(e13,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f286,plain,
op1(e14,e10) != op1(e14,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f288,plain,
op1(e14,e10) != op1(e14,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f289,plain,
op1(e14,e11) != op1(e14,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f290,plain,
op1(e14,e11) != op1(e14,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f291,plain,
op1(e14,e11) != op1(e14,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f292,plain,
op1(e14,e12) != op1(e14,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f293,plain,
op1(e14,e12) != op1(e14,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f294,plain,
op1(e14,e13) != op1(e14,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f304,plain,
op2(e23,e20) != op2(e24,e20),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f305,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f306,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f308,plain,
op2(e20,e21) != op2(e24,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f310,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f312,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f315,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f317,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f320,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f322,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f323,plain,
op2(e22,e22) != op2(e24,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f325,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f326,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f329,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f330,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f332,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f333,plain,
op2(e22,e23) != op2(e24,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f335,plain,
op2(e20,e24) != op2(e21,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f336,plain,
op2(e20,e24) != op2(e22,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f338,plain,
op2(e20,e24) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f339,plain,
op2(e21,e24) != op2(e22,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f340,plain,
op2(e21,e24) != op2(e23,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f341,plain,
op2(e21,e24) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f343,plain,
op2(e22,e24) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f348,plain,
op2(e20,e20) != op2(e20,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f353,plain,
op2(e20,e22) != op2(e20,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f354,plain,
op2(e20,e23) != op2(e20,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f356,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f358,plain,
op2(e21,e20) != op2(e21,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f360,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f362,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f363,plain,
op2(e21,e22) != op2(e21,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f364,plain,
op2(e21,e23) != op2(e21,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f365,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f366,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f368,plain,
op2(e22,e20) != op2(e22,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f369,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f370,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f371,plain,
op2(e22,e21) != op2(e22,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f377,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f378,plain,
op2(e23,e20) != op2(e23,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f379,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f382,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f385,plain,
op2(e24,e20) != op2(e24,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f386,plain,
op2(e24,e20) != op2(e24,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f387,plain,
op2(e24,e20) != op2(e24,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f389,plain,
op2(e24,e21) != op2(e24,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f390,plain,
op2(e24,e21) != op2(e24,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f391,plain,
op2(e24,e21) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f392,plain,
op2(e24,e22) != op2(e24,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f393,plain,
op2(e24,e22) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f394,plain,
op2(e24,e23) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f395,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f396,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f397,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f398,plain,
e10 != e14,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f399,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f400,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f401,plain,
e11 != e14,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f402,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f403,plain,
e12 != e14,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f404,plain,
e13 != e14,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f405,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f406,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f407,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f408,plain,
e20 != e24,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f409,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f410,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f411,plain,
e21 != e24,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f412,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f413,plain,
e22 != e24,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f414,plain,
e23 != e24,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f440,definition,
( sP0_prd
<=> ( ( op1(op1(e14,e13),e14) != e13
& op1(op1(e14,e13),e13) = e14
& op1(e13,e14) != op1(e14,e13) )
| ( op1(op1(e14,e12),e14) != e12
& op1(op1(e14,e12),e12) = e14
& op1(e12,e14) != op1(e14,e12) )
| ( op1(op1(e14,e11),e14) != e11
& op1(op1(e14,e11),e11) = e14
& op1(e11,e14) != op1(e14,e11) )
| ( op1(op1(e14,e10),e14) != e10
& op1(op1(e14,e10),e10) = e14
& op1(e10,e14) != op1(e14,e10) )
| ( op1(op1(e13,e14),e13) != e14
& op1(op1(e13,e14),e14) = e13
& op1(e14,e13) != op1(e13,e14) )
| ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,e13) != op1(e13,e13) )
| ( op1(op1(e13,e12),e13) != e12
& op1(op1(e13,e12),e12) = e13
& op1(e12,e13) != op1(e13,e12) )
| ( op1(op1(e13,e11),e13) != e11
& op1(op1(e13,e11),e11) = e13
& op1(e11,e13) != op1(e13,e11) )
| ( op1(op1(e13,e10),e13) != e10
& op1(op1(e13,e10),e10) = e13
& op1(e10,e13) != op1(e13,e10) )
| ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f441,plain,
( ( op1(op1(e14,e14),e14) != e14
& op1(op1(e14,e14),e14) = e14
& op1(e14,e14) != op1(e14,e14) )
| sP0_prd ),
inference(formula_renaming,[status(thm)],[f12,f440]) ).
fof(f442,plain,
( op1(e14,e14) != op1(e14,e14)
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f445,definition,
( sP1_prd
<=> ( ( op2(op2(e24,e23),e24) != e23
& op2(op2(e24,e23),e23) = e24
& op2(e23,e24) != op2(e24,e23) )
| ( op2(op2(e24,e22),e24) != e22
& op2(op2(e24,e22),e22) = e24
& op2(e22,e24) != op2(e24,e22) )
| ( op2(op2(e24,e21),e24) != e21
& op2(op2(e24,e21),e21) = e24
& op2(e21,e24) != op2(e24,e21) )
| ( op2(op2(e24,e20),e24) != e20
& op2(op2(e24,e20),e20) = e24
& op2(e20,e24) != op2(e24,e20) )
| ( op2(op2(e23,e24),e23) != e24
& op2(op2(e23,e24),e24) = e23
& op2(e24,e23) != op2(e23,e24) )
| ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,e23) != op2(e23,e23) )
| ( op2(op2(e23,e22),e23) != e22
& op2(op2(e23,e22),e22) = e23
& op2(e22,e23) != op2(e23,e22) )
| ( op2(op2(e23,e21),e23) != e21
& op2(op2(e23,e21),e21) = e23
& op2(e21,e23) != op2(e23,e21) )
| ( op2(op2(e23,e20),e23) != e20
& op2(op2(e23,e20),e20) = e23
& op2(e20,e23) != op2(e23,e20) )
| ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f446,plain,
( ( op2(op2(e24,e24),e24) != e24
& op2(op2(e24,e24),e24) = e24
& op2(e24,e24) != op2(e24,e24) )
| sP1_prd ),
inference(formula_renaming,[status(thm)],[f13,f445]) ).
fof(f447,plain,
( op2(e24,e24) != op2(e24,e24)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f450,plain,
e10 = op1(e13,op1(op1(e13,op1(e13,e13)),e13)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f451,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f452,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f453,plain,
e14 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f454,plain,
e20 = op2(e23,op2(op2(e23,op2(e23,e23)),e23)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f455,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f456,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f457,plain,
e24 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f458,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f459,plain,
h1(e10) = op2(e20,op2(op2(e20,op2(e20,e20)),e20)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f460,plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f461,plain,
h1(e12) = op2(op2(e20,op2(e20,e20)),e20),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f462,plain,
h1(e14) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f463,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f464,plain,
h2(e10) = op2(e21,op2(op2(e21,op2(e21,e21)),e21)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f465,plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f466,plain,
h2(e12) = op2(op2(e21,op2(e21,e21)),e21),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f467,plain,
h2(e14) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f468,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f470,plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f471,plain,
h3(e12) = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f472,plain,
h3(e14) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f473,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f474,plain,
h4(e10) = op2(e23,op2(op2(e23,op2(e23,e23)),e23)),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f475,plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f476,plain,
h4(e12) = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f477,plain,
h4(e14) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f478,plain,
h5(e13) = e24,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f479,plain,
h5(e10) = op2(e24,op2(op2(e24,op2(e24,e24)),e24)),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f480,plain,
h5(e11) = op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f481,plain,
h5(e12) = op2(op2(e24,op2(e24,e24)),e24),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f482,plain,
h5(e14) = op2(e24,op2(e24,e24)),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f483,plain,
( ( ( h5(e14) != e24
& h5(e13) != e24
& h5(e12) != e24
& h5(e11) != e24
& h5(e10) != e24 )
| ( h5(e14) != e23
& h5(e13) != e23
& h5(e12) != e23
& h5(e11) != e23
& h5(e10) != e23 )
| ( h5(e14) != e22
& h5(e13) != e22
& h5(e12) != e22
& h5(e11) != e22
& h5(e10) != e22 )
| ( h5(e14) != e21
& h5(e13) != e21
& h5(e12) != e21
& h5(e11) != e21
& h5(e10) != e21 )
| ( h5(e14) != e20
& h5(e13) != e20
& h5(e12) != e20
& h5(e11) != e20
& h5(e10) != e20 )
| h5(op1(e14,e14)) != op2(h5(e14),h5(e14))
| h5(op1(e14,e13)) != op2(h5(e14),h5(e13))
| h5(op1(e14,e12)) != op2(h5(e14),h5(e12))
| h5(op1(e14,e11)) != op2(h5(e14),h5(e11))
| h5(op1(e14,e10)) != op2(h5(e14),h5(e10))
| h5(op1(e13,e14)) != op2(h5(e13),h5(e14))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e14)) != op2(h5(e12),h5(e14))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e14)) != op2(h5(e11),h5(e14))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e14)) != op2(h5(e10),h5(e14))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
& ( ( h4(e14) != e24
& h4(e13) != e24
& h4(e12) != e24
& h4(e11) != e24
& h4(e10) != e24 )
| ( h4(e14) != e23
& h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| ( h4(e14) != e22
& h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ( h4(e14) != e21
& h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ( h4(e14) != e20
& h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e14,e13)) != op2(h4(e14),h4(e13))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| 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,e14)) != op2(h4(e12),h4(e14))
| 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,e14)) != op2(h4(e11),h4(e14))
| 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,e14)) != op2(h4(e10),h4(e14))
| 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(e14) != e24
& h3(e13) != e24
& h3(e12) != e24
& h3(e11) != e24
& h3(e10) != e24 )
| ( h3(e14) != e23
& h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ( h3(e14) != e22
& h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ( h3(e14) != e21
& h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ( h3(e14) != e20
& h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| h3(op1(e14,e14)) != op2(h3(e14),h3(e14))
| h3(op1(e14,e13)) != op2(h3(e14),h3(e13))
| h3(op1(e14,e12)) != op2(h3(e14),h3(e12))
| h3(op1(e14,e11)) != op2(h3(e14),h3(e11))
| h3(op1(e14,e10)) != op2(h3(e14),h3(e10))
| h3(op1(e13,e14)) != op2(h3(e13),h3(e14))
| 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,e14)) != op2(h3(e12),h3(e14))
| 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,e14)) != op2(h3(e11),h3(e14))
| 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,e14)) != op2(h3(e10),h3(e14))
| 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(e14) != e24
& h2(e13) != e24
& h2(e12) != e24
& h2(e11) != e24
& h2(e10) != e24 )
| ( h2(e14) != e23
& h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ( h2(e14) != e22
& h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ( h2(e14) != e21
& h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ( h2(e14) != e20
& h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| h2(op1(e14,e14)) != op2(h2(e14),h2(e14))
| h2(op1(e14,e13)) != op2(h2(e14),h2(e13))
| h2(op1(e14,e12)) != op2(h2(e14),h2(e12))
| h2(op1(e14,e11)) != op2(h2(e14),h2(e11))
| h2(op1(e14,e10)) != op2(h2(e14),h2(e10))
| h2(op1(e13,e14)) != op2(h2(e13),h2(e14))
| 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,e14)) != op2(h2(e12),h2(e14))
| 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,e14)) != op2(h2(e11),h2(e14))
| 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,e14)) != op2(h2(e10),h2(e14))
| 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(e14) != e24
& h1(e13) != e24
& h1(e12) != e24
& h1(e11) != e24
& h1(e10) != e24 )
| ( h1(e14) != e23
& h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| ( h1(e14) != e22
& h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ( h1(e14) != e21
& h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ( h1(e14) != e20
& h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| h1(op1(e14,e14)) != op2(h1(e14),h1(e14))
| h1(op1(e14,e13)) != op2(h1(e14),h1(e13))
| h1(op1(e14,e12)) != op2(h1(e14),h1(e12))
| h1(op1(e14,e11)) != op2(h1(e14),h1(e11))
| h1(op1(e14,e10)) != op2(h1(e14),h1(e10))
| h1(op1(e13,e14)) != op2(h1(e13),h1(e14))
| 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,e14)) != op2(h1(e12),h1(e14))
| 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,e14)) != op2(h1(e11),h1(e14))
| 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,e14)) != op2(h1(e10),h1(e14))
| 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)],[f22]) ).
fof(f484,definition,
( sP2_prd
<=> ( h1(e14) != e20
& h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f485,definition,
( sP3_prd
<=> ( h1(e14) != e21
& h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f486,definition,
( sP4_prd
<=> ( h1(e14) != e22
& h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f487,definition,
( sP5_prd
<=> ( h1(e14) != e23
& h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f488,definition,
( sP6_prd
<=> ( h2(e14) != e20
& h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f489,definition,
( sP7_prd
<=> ( h2(e14) != e21
& h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f490,definition,
( sP8_prd
<=> ( h2(e14) != e22
& h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f491,definition,
( sP9_prd
<=> ( h2(e14) != e23
& h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f492,definition,
( sP10_prd
<=> ( h3(e14) != e20
& h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f493,definition,
( sP11_prd
<=> ( h3(e14) != e21
& h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f494,definition,
( sP12_prd
<=> ( h3(e14) != e22
& h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f495,definition,
( sP13_prd
<=> ( h3(e14) != e23
& h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f496,definition,
( sP14_prd
<=> ( h4(e14) != e20
& h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f497,definition,
( sP15_prd
<=> ( h4(e14) != e21
& h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f498,definition,
( sP16_prd
<=> ( h4(e14) != e22
& h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f499,definition,
( sP17_prd
<=> ( h4(e14) != e23
& h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f500,definition,
( sP18_prd
<=> ( h5(e14) != e20
& h5(e13) != e20
& h5(e12) != e20
& h5(e11) != e20
& h5(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f501,definition,
( sP19_prd
<=> ( h5(e14) != e21
& h5(e13) != e21
& h5(e12) != e21
& h5(e11) != e21
& h5(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f502,definition,
( sP20_prd
<=> ( h5(e14) != e22
& h5(e13) != e22
& h5(e12) != e22
& h5(e11) != e22
& h5(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f503,definition,
( sP21_prd
<=> ( h5(e14) != e23
& h5(e13) != e23
& h5(e12) != e23
& h5(e11) != e23
& h5(e10) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f504,plain,
( ( ( h5(e14) != e24
& h5(e13) != e24
& h5(e12) != e24
& h5(e11) != e24
& h5(e10) != e24 )
| sP21_prd
| sP20_prd
| sP19_prd
| sP18_prd
| h5(op1(e14,e14)) != op2(h5(e14),h5(e14))
| h5(op1(e14,e13)) != op2(h5(e14),h5(e13))
| h5(op1(e14,e12)) != op2(h5(e14),h5(e12))
| h5(op1(e14,e11)) != op2(h5(e14),h5(e11))
| h5(op1(e14,e10)) != op2(h5(e14),h5(e10))
| h5(op1(e13,e14)) != op2(h5(e13),h5(e14))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e12,e14)) != op2(h5(e12),h5(e14))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e11,e14)) != op2(h5(e11),h5(e14))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e10,e14)) != op2(h5(e10),h5(e14))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e10)) != op2(h5(e10),h5(e10)) )
& ( ( h4(e14) != e24
& h4(e13) != e24
& h4(e12) != e24
& h4(e11) != e24
& h4(e10) != e24 )
| sP17_prd
| sP16_prd
| sP15_prd
| sP14_prd
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e14,e13)) != op2(h4(e14),h4(e13))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| 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,e14)) != op2(h4(e12),h4(e14))
| 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,e14)) != op2(h4(e11),h4(e14))
| 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,e14)) != op2(h4(e10),h4(e14))
| 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(e14) != e24
& h3(e13) != e24
& h3(e12) != e24
& h3(e11) != e24
& h3(e10) != e24 )
| sP13_prd
| sP12_prd
| sP11_prd
| sP10_prd
| h3(op1(e14,e14)) != op2(h3(e14),h3(e14))
| h3(op1(e14,e13)) != op2(h3(e14),h3(e13))
| h3(op1(e14,e12)) != op2(h3(e14),h3(e12))
| h3(op1(e14,e11)) != op2(h3(e14),h3(e11))
| h3(op1(e14,e10)) != op2(h3(e14),h3(e10))
| h3(op1(e13,e14)) != op2(h3(e13),h3(e14))
| 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,e14)) != op2(h3(e12),h3(e14))
| 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,e14)) != op2(h3(e11),h3(e14))
| 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,e14)) != op2(h3(e10),h3(e14))
| 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(e14) != e24
& h2(e13) != e24
& h2(e12) != e24
& h2(e11) != e24
& h2(e10) != e24 )
| sP9_prd
| sP8_prd
| sP7_prd
| sP6_prd
| h2(op1(e14,e14)) != op2(h2(e14),h2(e14))
| h2(op1(e14,e13)) != op2(h2(e14),h2(e13))
| h2(op1(e14,e12)) != op2(h2(e14),h2(e12))
| h2(op1(e14,e11)) != op2(h2(e14),h2(e11))
| h2(op1(e14,e10)) != op2(h2(e14),h2(e10))
| h2(op1(e13,e14)) != op2(h2(e13),h2(e14))
| 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,e14)) != op2(h2(e12),h2(e14))
| 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,e14)) != op2(h2(e11),h2(e14))
| 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,e14)) != op2(h2(e10),h2(e14))
| 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(e14) != e24
& h1(e13) != e24
& h1(e12) != e24
& h1(e11) != e24
& h1(e10) != e24 )
| sP5_prd
| sP4_prd
| sP3_prd
| sP2_prd
| h1(op1(e14,e14)) != op2(h1(e14),h1(e14))
| h1(op1(e14,e13)) != op2(h1(e14),h1(e13))
| h1(op1(e14,e12)) != op2(h1(e14),h1(e12))
| h1(op1(e14,e11)) != op2(h1(e14),h1(e11))
| h1(op1(e14,e10)) != op2(h1(e14),h1(e10))
| h1(op1(e13,e14)) != op2(h1(e13),h1(e14))
| 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,e14)) != op2(h1(e12),h1(e14))
| 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,e14)) != op2(h1(e11),h1(e14))
| 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,e14)) != op2(h1(e10),h1(e14))
| 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)],[f483,f503,f502,f501,f500,f499,f498,f497,f496,f495,f494,f493,f492,f491,f490,f489,f488,f487,f486,f485,f484]) ).
fof(f524,plain,
( h4(e14) != e24
| sP17_prd
| sP16_prd
| sP15_prd
| sP14_prd
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
| h4(op1(e14,e13)) != op2(h4(e14),h4(e13))
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
| 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,e14)) != op2(h4(e12),h4(e14))
| 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,e14)) != op2(h4(e11),h4(e14))
| 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,e14)) != op2(h4(e10),h4(e14))
| 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)],[f504]) ).
fof(f530,definition,
( sP22_prd
<=> ( ( op1(op1(e14,e12),e14) != e12
& op1(op1(e14,e12),e12) = e14
& op1(e12,e14) != op1(e14,e12) )
| ( op1(op1(e14,e11),e14) != e11
& op1(op1(e14,e11),e11) = e14
& op1(e11,e14) != op1(e14,e11) )
| ( op1(op1(e14,e10),e14) != e10
& op1(op1(e14,e10),e10) = e14
& op1(e10,e14) != op1(e14,e10) )
| ( op1(op1(e13,e14),e13) != e14
& op1(op1(e13,e14),e14) = e13
& op1(e14,e13) != op1(e13,e14) )
| ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,e13) != op1(e13,e13) )
| ( op1(op1(e13,e12),e13) != e12
& op1(op1(e13,e12),e12) = e13
& op1(e12,e13) != op1(e13,e12) )
| ( op1(op1(e13,e11),e13) != e11
& op1(op1(e13,e11),e11) = e13
& op1(e11,e13) != op1(e13,e11) )
| ( op1(op1(e13,e10),e13) != e10
& op1(op1(e13,e10),e10) = e13
& op1(e10,e13) != op1(e13,e10) )
| ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f531,plain,
( sP0_prd
<=> ( ( op1(op1(e14,e13),e14) != e13
& op1(op1(e14,e13),e13) = e14
& op1(e13,e14) != op1(e14,e13) )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f440,f530]) ).
fof(f532,plain,
( ( ( ( op1(op1(e14,e13),e14) = e13
| op1(op1(e14,e13),e13) != e14
| op1(e13,e14) = op1(e14,e13) )
& ~ sP22_prd )
| sP0_prd )
& ( ( op1(op1(e14,e13),e14) != e13
& op1(op1(e14,e13),e13) = e14
& op1(e13,e14) != op1(e14,e13) )
| sP22_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f531]) ).
fof(f533,plain,
( op1(e13,e14) != op1(e14,e13)
| sP22_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f538,definition,
( sP23_prd
<=> ( ( op2(op2(e24,e22),e24) != e22
& op2(op2(e24,e22),e22) = e24
& op2(e22,e24) != op2(e24,e22) )
| ( op2(op2(e24,e21),e24) != e21
& op2(op2(e24,e21),e21) = e24
& op2(e21,e24) != op2(e24,e21) )
| ( op2(op2(e24,e20),e24) != e20
& op2(op2(e24,e20),e20) = e24
& op2(e20,e24) != op2(e24,e20) )
| ( op2(op2(e23,e24),e23) != e24
& op2(op2(e23,e24),e24) = e23
& op2(e24,e23) != op2(e23,e24) )
| ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,e23) != op2(e23,e23) )
| ( op2(op2(e23,e22),e23) != e22
& op2(op2(e23,e22),e22) = e23
& op2(e22,e23) != op2(e23,e22) )
| ( op2(op2(e23,e21),e23) != e21
& op2(op2(e23,e21),e21) = e23
& op2(e21,e23) != op2(e23,e21) )
| ( op2(op2(e23,e20),e23) != e20
& op2(op2(e23,e20),e20) = e23
& op2(e20,e23) != op2(e23,e20) )
| ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f539,plain,
( sP1_prd
<=> ( ( op2(op2(e24,e23),e24) != e23
& op2(op2(e24,e23),e23) = e24
& op2(e23,e24) != op2(e24,e23) )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f445,f538]) ).
fof(f540,plain,
( ( ( ( op2(op2(e24,e23),e24) = e23
| op2(op2(e24,e23),e23) != e24
| op2(e23,e24) = op2(e24,e23) )
& ~ sP23_prd )
| sP1_prd )
& ( ( op2(op2(e24,e23),e24) != e23
& op2(op2(e24,e23),e23) = e24
& op2(e23,e24) != op2(e24,e23) )
| sP23_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f539]) ).
fof(f541,plain,
( op2(e23,e24) != op2(e24,e23)
| sP23_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f540]) ).
fof(f546,plain,
( ( h1(e14) = e20
| h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20
| sP2_prd )
& ( ( h1(e14) != e20
& h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f484]) ).
fof(f551,plain,
( h1(e14) != e20
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f546]) ).
fof(f574,plain,
( ( h2(e14) = e20
| h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP6_prd )
& ( ( h2(e14) != e20
& h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f488]) ).
fof(f575,plain,
( h2(e10) != e20
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f574]) ).
fof(f581,plain,
( ( h2(e14) = e21
| h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP7_prd )
& ( ( h2(e14) != e21
& h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f489]) ).
fof(f585,plain,
( h2(e13) != e21
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f581]) ).
fof(f588,plain,
( ( h2(e14) = e22
| h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP8_prd )
& ( ( h2(e14) != e22
& h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f490]) ).
fof(f590,plain,
( h2(e11) != e22
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f595,plain,
( ( h2(e14) = e23
| h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23
| sP9_prd )
& ( ( h2(e14) != e23
& h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f491]) ).
fof(f598,plain,
( h2(e12) != e23
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f595]) ).
fof(f609,plain,
( ( h3(e14) = e21
| h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP11_prd )
& ( ( h3(e14) != e21
& h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f493]) ).
fof(f612,plain,
( h3(e12) != e21
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f616,plain,
( ( h3(e14) = e22
| h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP12_prd )
& ( ( h3(e14) != e22
& h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f494]) ).
fof(f620,plain,
( h3(e13) != e22
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f616]) ).
fof(f623,plain,
( ( h3(e14) = e23
| h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23
| sP13_prd )
& ( ( h3(e14) != e23
& h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f495]) ).
fof(f625,plain,
( h3(e11) != e23
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f630,plain,
( ( h4(e14) = e20
| h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP14_prd )
& ( ( h4(e14) != e20
& h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f496]) ).
fof(f631,plain,
( h4(e10) != e20
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f630]) ).
fof(f637,plain,
( ( h4(e14) = e21
| h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP15_prd )
& ( ( h4(e14) != e21
& h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f497]) ).
fof(f639,plain,
( h4(e11) != e21
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f637]) ).
fof(f644,plain,
( ( h4(e14) = e22
| h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP16_prd )
& ( ( h4(e14) != e22
& h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f498]) ).
fof(f647,plain,
( h4(e12) != e22
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f644]) ).
fof(f651,plain,
( ( h4(e14) = e23
| h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23
| sP17_prd )
& ( ( h4(e14) != e23
& h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f499]) ).
fof(f655,plain,
( h4(e13) != e23
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f651]) ).
fof(f658,plain,
( ( h5(e14) = e20
| h5(e13) = e20
| h5(e12) = e20
| h5(e11) = e20
| h5(e10) = e20
| sP18_prd )
& ( ( h5(e14) != e20
& h5(e13) != e20
& h5(e12) != e20
& h5(e11) != e20
& h5(e10) != e20 )
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f500]) ).
fof(f660,plain,
( h5(e11) != e20
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f658]) ).
fof(f686,definition,
( sP24_prd
<=> ( ( op1(op1(e14,e11),e14) != e11
& op1(op1(e14,e11),e11) = e14
& op1(e11,e14) != op1(e14,e11) )
| ( op1(op1(e14,e10),e14) != e10
& op1(op1(e14,e10),e10) = e14
& op1(e10,e14) != op1(e14,e10) )
| ( op1(op1(e13,e14),e13) != e14
& op1(op1(e13,e14),e14) = e13
& op1(e14,e13) != op1(e13,e14) )
| ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,e13) != op1(e13,e13) )
| ( op1(op1(e13,e12),e13) != e12
& op1(op1(e13,e12),e12) = e13
& op1(e12,e13) != op1(e13,e12) )
| ( op1(op1(e13,e11),e13) != e11
& op1(op1(e13,e11),e11) = e13
& op1(e11,e13) != op1(e13,e11) )
| ( op1(op1(e13,e10),e13) != e10
& op1(op1(e13,e10),e10) = e13
& op1(e10,e13) != op1(e13,e10) )
| ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f687,plain,
( sP22_prd
<=> ( ( op1(op1(e14,e12),e14) != e12
& op1(op1(e14,e12),e12) = e14
& op1(e12,e14) != op1(e14,e12) )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f530,f686]) ).
fof(f688,plain,
( ( ( ( op1(op1(e14,e12),e14) = e12
| op1(op1(e14,e12),e12) != e14
| op1(e12,e14) = op1(e14,e12) )
& ~ sP24_prd )
| sP22_prd )
& ( ( op1(op1(e14,e12),e14) != e12
& op1(op1(e14,e12),e12) = e14
& op1(e12,e14) != op1(e14,e12) )
| sP24_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f687]) ).
fof(f689,plain,
( op1(e12,e14) != op1(e14,e12)
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f688]) ).
fof(f690,plain,
( op1(op1(e14,e12),e12) = e14
| sP24_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f688]) ).
fof(f694,definition,
( sP25_prd
<=> ( ( op2(op2(e24,e21),e24) != e21
& op2(op2(e24,e21),e21) = e24
& op2(e21,e24) != op2(e24,e21) )
| ( op2(op2(e24,e20),e24) != e20
& op2(op2(e24,e20),e20) = e24
& op2(e20,e24) != op2(e24,e20) )
| ( op2(op2(e23,e24),e23) != e24
& op2(op2(e23,e24),e24) = e23
& op2(e24,e23) != op2(e23,e24) )
| ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,e23) != op2(e23,e23) )
| ( op2(op2(e23,e22),e23) != e22
& op2(op2(e23,e22),e22) = e23
& op2(e22,e23) != op2(e23,e22) )
| ( op2(op2(e23,e21),e23) != e21
& op2(op2(e23,e21),e21) = e23
& op2(e21,e23) != op2(e23,e21) )
| ( op2(op2(e23,e20),e23) != e20
& op2(op2(e23,e20),e20) = e23
& op2(e20,e23) != op2(e23,e20) )
| ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f695,plain,
( sP23_prd
<=> ( ( op2(op2(e24,e22),e24) != e22
& op2(op2(e24,e22),e22) = e24
& op2(e22,e24) != op2(e24,e22) )
| sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f538,f694]) ).
fof(f696,plain,
( ( ( ( op2(op2(e24,e22),e24) = e22
| op2(op2(e24,e22),e22) != e24
| op2(e22,e24) = op2(e24,e22) )
& ~ sP25_prd )
| sP23_prd )
& ( ( op2(op2(e24,e22),e24) != e22
& op2(op2(e24,e22),e22) = e24
& op2(e22,e24) != op2(e24,e22) )
| sP25_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f695]) ).
fof(f697,plain,
( op2(e22,e24) != op2(e24,e22)
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f698,plain,
( op2(op2(e24,e22),e22) = e24
| sP25_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f696]) ).
fof(f702,definition,
( sP26_prd
<=> ( ( op1(op1(e14,e10),e14) != e10
& op1(op1(e14,e10),e10) = e14
& op1(e10,e14) != op1(e14,e10) )
| ( op1(op1(e13,e14),e13) != e14
& op1(op1(e13,e14),e14) = e13
& op1(e14,e13) != op1(e13,e14) )
| ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,e13) != op1(e13,e13) )
| ( op1(op1(e13,e12),e13) != e12
& op1(op1(e13,e12),e12) = e13
& op1(e12,e13) != op1(e13,e12) )
| ( op1(op1(e13,e11),e13) != e11
& op1(op1(e13,e11),e11) = e13
& op1(e11,e13) != op1(e13,e11) )
| ( op1(op1(e13,e10),e13) != e10
& op1(op1(e13,e10),e10) = e13
& op1(e10,e13) != op1(e13,e10) )
| ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f703,plain,
( sP24_prd
<=> ( ( op1(op1(e14,e11),e14) != e11
& op1(op1(e14,e11),e11) = e14
& op1(e11,e14) != op1(e14,e11) )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f686,f702]) ).
fof(f704,plain,
( ( ( ( op1(op1(e14,e11),e14) = e11
| op1(op1(e14,e11),e11) != e14
| op1(e11,e14) = op1(e14,e11) )
& ~ sP26_prd )
| sP24_prd )
& ( ( op1(op1(e14,e11),e14) != e11
& op1(op1(e14,e11),e11) = e14
& op1(e11,e14) != op1(e14,e11) )
| sP26_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f703]) ).
fof(f705,plain,
( op1(e11,e14) != op1(e14,e11)
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f706,plain,
( op1(op1(e14,e11),e11) = e14
| sP26_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f710,definition,
( sP27_prd
<=> ( ( op2(op2(e24,e20),e24) != e20
& op2(op2(e24,e20),e20) = e24
& op2(e20,e24) != op2(e24,e20) )
| ( op2(op2(e23,e24),e23) != e24
& op2(op2(e23,e24),e24) = e23
& op2(e24,e23) != op2(e23,e24) )
| ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,e23) != op2(e23,e23) )
| ( op2(op2(e23,e22),e23) != e22
& op2(op2(e23,e22),e22) = e23
& op2(e22,e23) != op2(e23,e22) )
| ( op2(op2(e23,e21),e23) != e21
& op2(op2(e23,e21),e21) = e23
& op2(e21,e23) != op2(e23,e21) )
| ( op2(op2(e23,e20),e23) != e20
& op2(op2(e23,e20),e20) = e23
& op2(e20,e23) != op2(e23,e20) )
| ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f711,plain,
( sP25_prd
<=> ( ( op2(op2(e24,e21),e24) != e21
& op2(op2(e24,e21),e21) = e24
& op2(e21,e24) != op2(e24,e21) )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f694,f710]) ).
fof(f712,plain,
( ( ( ( op2(op2(e24,e21),e24) = e21
| op2(op2(e24,e21),e21) != e24
| op2(e21,e24) = op2(e24,e21) )
& ~ sP27_prd )
| sP25_prd )
& ( ( op2(op2(e24,e21),e24) != e21
& op2(op2(e24,e21),e21) = e24
& op2(e21,e24) != op2(e24,e21) )
| sP27_prd
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f711]) ).
fof(f713,plain,
( op2(e21,e24) != op2(e24,e21)
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f712]) ).
fof(f714,plain,
( op2(op2(e24,e21),e21) = e24
| sP27_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f712]) ).
fof(f716,plain,
( ~ sP27_prd
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f712]) ).
fof(f718,definition,
( sP28_prd
<=> ( ( op1(op1(e13,e14),e13) != e14
& op1(op1(e13,e14),e14) = e13
& op1(e14,e13) != op1(e13,e14) )
| ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,e13) != op1(e13,e13) )
| ( op1(op1(e13,e12),e13) != e12
& op1(op1(e13,e12),e12) = e13
& op1(e12,e13) != op1(e13,e12) )
| ( op1(op1(e13,e11),e13) != e11
& op1(op1(e13,e11),e11) = e13
& op1(e11,e13) != op1(e13,e11) )
| ( op1(op1(e13,e10),e13) != e10
& op1(op1(e13,e10),e10) = e13
& op1(e10,e13) != op1(e13,e10) )
| ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f719,plain,
( sP26_prd
<=> ( ( op1(op1(e14,e10),e14) != e10
& op1(op1(e14,e10),e10) = e14
& op1(e10,e14) != op1(e14,e10) )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f702,f718]) ).
fof(f720,plain,
( ( ( ( op1(op1(e14,e10),e14) = e10
| op1(op1(e14,e10),e10) != e14
| op1(e10,e14) = op1(e14,e10) )
& ~ sP28_prd )
| sP26_prd )
& ( ( op1(op1(e14,e10),e14) != e10
& op1(op1(e14,e10),e10) = e14
& op1(e10,e14) != op1(e14,e10) )
| sP28_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f719]) ).
fof(f721,plain,
( op1(e10,e14) != op1(e14,e10)
| sP28_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f720]) ).
fof(f726,definition,
( sP29_prd
<=> ( ( op2(op2(e23,e24),e23) != e24
& op2(op2(e23,e24),e24) = e23
& op2(e24,e23) != op2(e23,e24) )
| ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,e23) != op2(e23,e23) )
| ( op2(op2(e23,e22),e23) != e22
& op2(op2(e23,e22),e22) = e23
& op2(e22,e23) != op2(e23,e22) )
| ( op2(op2(e23,e21),e23) != e21
& op2(op2(e23,e21),e21) = e23
& op2(e21,e23) != op2(e23,e21) )
| ( op2(op2(e23,e20),e23) != e20
& op2(op2(e23,e20),e20) = e23
& op2(e20,e23) != op2(e23,e20) )
| ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f727,plain,
( sP27_prd
<=> ( ( op2(op2(e24,e20),e24) != e20
& op2(op2(e24,e20),e20) = e24
& op2(e20,e24) != op2(e24,e20) )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f710,f726]) ).
fof(f728,plain,
( ( ( ( op2(op2(e24,e20),e24) = e20
| op2(op2(e24,e20),e20) != e24
| op2(e20,e24) = op2(e24,e20) )
& ~ sP29_prd )
| sP27_prd )
& ( ( op2(op2(e24,e20),e24) != e20
& op2(op2(e24,e20),e20) = e24
& op2(e20,e24) != op2(e24,e20) )
| sP29_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f727]) ).
fof(f729,plain,
( op2(e20,e24) != op2(e24,e20)
| sP29_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f728]) ).
fof(f732,plain,
( ~ sP29_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f728]) ).
fof(f734,definition,
( sP30_prd
<=> ( ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,e13) != op1(e13,e13) )
| ( op1(op1(e13,e12),e13) != e12
& op1(op1(e13,e12),e12) = e13
& op1(e12,e13) != op1(e13,e12) )
| ( op1(op1(e13,e11),e13) != e11
& op1(op1(e13,e11),e11) = e13
& op1(e11,e13) != op1(e13,e11) )
| ( op1(op1(e13,e10),e13) != e10
& op1(op1(e13,e10),e10) = e13
& op1(e10,e13) != op1(e13,e10) )
| ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f735,plain,
( sP28_prd
<=> ( ( op1(op1(e13,e14),e13) != e14
& op1(op1(e13,e14),e14) = e13
& op1(e14,e13) != op1(e13,e14) )
| sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f718,f734]) ).
fof(f736,plain,
( ( ( ( op1(op1(e13,e14),e13) = e14
| op1(op1(e13,e14),e14) != e13
| op1(e14,e13) = op1(e13,e14) )
& ~ sP30_prd )
| sP28_prd )
& ( ( op1(op1(e13,e14),e13) != e14
& op1(op1(e13,e14),e14) = e13
& op1(e14,e13) != op1(e13,e14) )
| sP30_prd
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f735]) ).
fof(f737,plain,
( op1(e14,e13) != op1(e13,e14)
| sP30_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f736]) ).
fof(f742,definition,
( sP31_prd
<=> ( ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,e23) != op2(e23,e23) )
| ( op2(op2(e23,e22),e23) != e22
& op2(op2(e23,e22),e22) = e23
& op2(e22,e23) != op2(e23,e22) )
| ( op2(op2(e23,e21),e23) != e21
& op2(op2(e23,e21),e21) = e23
& op2(e21,e23) != op2(e23,e21) )
| ( op2(op2(e23,e20),e23) != e20
& op2(op2(e23,e20),e20) = e23
& op2(e20,e23) != op2(e23,e20) )
| ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f743,plain,
( sP29_prd
<=> ( ( op2(op2(e23,e24),e23) != e24
& op2(op2(e23,e24),e24) = e23
& op2(e24,e23) != op2(e23,e24) )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f726,f742]) ).
fof(f744,plain,
( ( ( ( op2(op2(e23,e24),e23) = e24
| op2(op2(e23,e24),e24) != e23
| op2(e24,e23) = op2(e23,e24) )
& ~ sP31_prd )
| sP29_prd )
& ( ( op2(op2(e23,e24),e23) != e24
& op2(op2(e23,e24),e24) = e23
& op2(e24,e23) != op2(e23,e24) )
| sP31_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f743]) ).
fof(f745,plain,
( op2(e24,e23) != op2(e23,e24)
| sP31_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f748,plain,
( ~ sP31_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f750,definition,
( sP32_prd
<=> ( ( op1(op1(e13,e12),e13) != e12
& op1(op1(e13,e12),e12) = e13
& op1(e12,e13) != op1(e13,e12) )
| ( op1(op1(e13,e11),e13) != e11
& op1(op1(e13,e11),e11) = e13
& op1(e11,e13) != op1(e13,e11) )
| ( op1(op1(e13,e10),e13) != e10
& op1(op1(e13,e10),e10) = e13
& op1(e10,e13) != op1(e13,e10) )
| ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f751,plain,
( sP30_prd
<=> ( ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,e13) != op1(e13,e13) )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f734,f750]) ).
fof(f752,plain,
( ( ( ( op1(op1(e13,e13),e13) = e13
| op1(op1(e13,e13),e13) != e13
| op1(e13,e13) = op1(e13,e13) )
& ~ sP32_prd )
| sP30_prd )
& ( ( op1(op1(e13,e13),e13) != e13
& op1(op1(e13,e13),e13) = e13
& op1(e13,e13) != op1(e13,e13) )
| sP32_prd
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f751]) ).
fof(f753,plain,
( op1(e13,e13) != op1(e13,e13)
| sP32_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f752]) ).
fof(f758,definition,
( sP33_prd
<=> ( ( op2(op2(e23,e22),e23) != e22
& op2(op2(e23,e22),e22) = e23
& op2(e22,e23) != op2(e23,e22) )
| ( op2(op2(e23,e21),e23) != e21
& op2(op2(e23,e21),e21) = e23
& op2(e21,e23) != op2(e23,e21) )
| ( op2(op2(e23,e20),e23) != e20
& op2(op2(e23,e20),e20) = e23
& op2(e20,e23) != op2(e23,e20) )
| ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f759,plain,
( sP31_prd
<=> ( ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,e23) != op2(e23,e23) )
| sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f742,f758]) ).
fof(f760,plain,
( ( ( ( op2(op2(e23,e23),e23) = e23
| op2(op2(e23,e23),e23) != e23
| op2(e23,e23) = op2(e23,e23) )
& ~ sP33_prd )
| sP31_prd )
& ( ( op2(op2(e23,e23),e23) != e23
& op2(op2(e23,e23),e23) = e23
& op2(e23,e23) != op2(e23,e23) )
| sP33_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f759]) ).
fof(f761,plain,
( op2(e23,e23) != op2(e23,e23)
| sP33_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f760]) ).
fof(f764,plain,
( ~ sP33_prd
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f760]) ).
fof(f766,definition,
( sP34_prd
<=> ( ( op1(op1(e13,e11),e13) != e11
& op1(op1(e13,e11),e11) = e13
& op1(e11,e13) != op1(e13,e11) )
| ( op1(op1(e13,e10),e13) != e10
& op1(op1(e13,e10),e10) = e13
& op1(e10,e13) != op1(e13,e10) )
| ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f767,plain,
( sP32_prd
<=> ( ( op1(op1(e13,e12),e13) != e12
& op1(op1(e13,e12),e12) = e13
& op1(e12,e13) != op1(e13,e12) )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f750,f766]) ).
fof(f768,plain,
( ( ( ( op1(op1(e13,e12),e13) = e12
| op1(op1(e13,e12),e12) != e13
| op1(e12,e13) = op1(e13,e12) )
& ~ sP34_prd )
| sP32_prd )
& ( ( op1(op1(e13,e12),e13) != e12
& op1(op1(e13,e12),e12) = e13
& op1(e12,e13) != op1(e13,e12) )
| sP34_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f767]) ).
fof(f770,plain,
( op1(op1(e13,e12),e12) = e13
| sP34_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f768]) ).
fof(f774,definition,
( sP35_prd
<=> ( ( op2(op2(e23,e21),e23) != e21
& op2(op2(e23,e21),e21) = e23
& op2(e21,e23) != op2(e23,e21) )
| ( op2(op2(e23,e20),e23) != e20
& op2(op2(e23,e20),e20) = e23
& op2(e20,e23) != op2(e23,e20) )
| ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f775,plain,
( sP33_prd
<=> ( ( op2(op2(e23,e22),e23) != e22
& op2(op2(e23,e22),e22) = e23
& op2(e22,e23) != op2(e23,e22) )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f758,f774]) ).
fof(f776,plain,
( ( ( ( op2(op2(e23,e22),e23) = e22
| op2(op2(e23,e22),e22) != e23
| op2(e22,e23) = op2(e23,e22) )
& ~ sP35_prd )
| sP33_prd )
& ( ( op2(op2(e23,e22),e23) != e22
& op2(op2(e23,e22),e22) = e23
& op2(e22,e23) != op2(e23,e22) )
| sP35_prd
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f775]) ).
fof(f778,plain,
( op2(op2(e23,e22),e22) = e23
| sP35_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f780,plain,
( ~ sP35_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f782,definition,
( sP36_prd
<=> ( ( op1(op1(e13,e10),e13) != e10
& op1(op1(e13,e10),e10) = e13
& op1(e10,e13) != op1(e13,e10) )
| ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f783,plain,
( sP34_prd
<=> ( ( op1(op1(e13,e11),e13) != e11
& op1(op1(e13,e11),e11) = e13
& op1(e11,e13) != op1(e13,e11) )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f766,f782]) ).
fof(f784,plain,
( ( ( ( op1(op1(e13,e11),e13) = e11
| op1(op1(e13,e11),e11) != e13
| op1(e11,e13) = op1(e13,e11) )
& ~ sP36_prd )
| sP34_prd )
& ( ( op1(op1(e13,e11),e13) != e11
& op1(op1(e13,e11),e11) = e13
& op1(e11,e13) != op1(e13,e11) )
| sP36_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f783]) ).
fof(f786,plain,
( op1(op1(e13,e11),e11) = e13
| sP36_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f784]) ).
fof(f790,definition,
( sP37_prd
<=> ( ( op2(op2(e23,e20),e23) != e20
& op2(op2(e23,e20),e20) = e23
& op2(e20,e23) != op2(e23,e20) )
| ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f791,plain,
( sP35_prd
<=> ( ( op2(op2(e23,e21),e23) != e21
& op2(op2(e23,e21),e21) = e23
& op2(e21,e23) != op2(e23,e21) )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f774,f790]) ).
fof(f792,plain,
( ( ( ( op2(op2(e23,e21),e23) = e21
| op2(op2(e23,e21),e21) != e23
| op2(e21,e23) = op2(e23,e21) )
& ~ sP37_prd )
| sP35_prd )
& ( ( op2(op2(e23,e21),e23) != e21
& op2(op2(e23,e21),e21) = e23
& op2(e21,e23) != op2(e23,e21) )
| sP37_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f791]) ).
fof(f793,plain,
( op2(e21,e23) != op2(e23,e21)
| sP37_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f794,plain,
( op2(op2(e23,e21),e21) = e23
| sP37_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f796,plain,
( ~ sP37_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f797,plain,
( op2(op2(e23,e21),e23) = e21
| op2(op2(e23,e21),e21) != e23
| op2(e21,e23) = op2(e23,e21)
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f792]) ).
fof(f798,definition,
( sP38_prd
<=> ( ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f799,plain,
( sP36_prd
<=> ( ( op1(op1(e13,e10),e13) != e10
& op1(op1(e13,e10),e10) = e13
& op1(e10,e13) != op1(e13,e10) )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f782,f798]) ).
fof(f800,plain,
( ( ( ( op1(op1(e13,e10),e13) = e10
| op1(op1(e13,e10),e10) != e13
| op1(e10,e13) = op1(e13,e10) )
& ~ sP38_prd )
| sP36_prd )
& ( ( op1(op1(e13,e10),e13) != e10
& op1(op1(e13,e10),e10) = e13
& op1(e10,e13) != op1(e13,e10) )
| sP38_prd
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f799]) ).
fof(f801,plain,
( op1(e10,e13) != op1(e13,e10)
| sP38_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f800]) ).
fof(f806,definition,
( sP39_prd
<=> ( ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f807,plain,
( sP37_prd
<=> ( ( op2(op2(e23,e20),e23) != e20
& op2(op2(e23,e20),e20) = e23
& op2(e20,e23) != op2(e23,e20) )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f790,f806]) ).
fof(f808,plain,
( ( ( ( op2(op2(e23,e20),e23) = e20
| op2(op2(e23,e20),e20) != e23
| op2(e20,e23) = op2(e23,e20) )
& ~ sP39_prd )
| sP37_prd )
& ( ( op2(op2(e23,e20),e23) != e20
& op2(op2(e23,e20),e20) = e23
& op2(e20,e23) != op2(e23,e20) )
| sP39_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f807]) ).
fof(f809,plain,
( op2(e20,e23) != op2(e23,e20)
| sP39_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f808]) ).
fof(f812,plain,
( ~ sP39_prd
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f808]) ).
fof(f814,definition,
( sP40_prd
<=> ( ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f815,plain,
( sP38_prd
<=> ( ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f798,f814]) ).
fof(f816,plain,
( ( ( ( op1(op1(e12,e14),e12) = e14
| op1(op1(e12,e14),e14) != e12
| op1(e14,e12) = op1(e12,e14) )
& ~ sP40_prd )
| sP38_prd )
& ( ( op1(op1(e12,e14),e12) != e14
& op1(op1(e12,e14),e14) = e12
& op1(e14,e12) != op1(e12,e14) )
| sP40_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f815]) ).
fof(f817,plain,
( op1(e14,e12) != op1(e12,e14)
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f818,plain,
( op1(op1(e12,e14),e14) = e12
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f822,definition,
( sP41_prd
<=> ( ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f823,plain,
( sP39_prd
<=> ( ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f806,f822]) ).
fof(f824,plain,
( ( ( ( op2(op2(e22,e24),e22) = e24
| op2(op2(e22,e24),e24) != e22
| op2(e24,e22) = op2(e22,e24) )
& ~ sP41_prd )
| sP39_prd )
& ( ( op2(op2(e22,e24),e22) != e24
& op2(op2(e22,e24),e24) = e22
& op2(e24,e22) != op2(e22,e24) )
| sP41_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f823]) ).
fof(f825,plain,
( op2(e24,e22) != op2(e22,e24)
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f824]) ).
fof(f826,plain,
( op2(op2(e22,e24),e24) = e22
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f824]) ).
fof(f828,plain,
( ~ sP41_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f824]) ).
fof(f830,definition,
( sP42_prd
<=> ( ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f831,plain,
( sP40_prd
<=> ( ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f814,f830]) ).
fof(f832,plain,
( ( ( ( op1(op1(e12,e13),e12) = e13
| op1(op1(e12,e13),e13) != e12
| op1(e13,e12) = op1(e12,e13) )
& ~ sP42_prd )
| sP40_prd )
& ( ( op1(op1(e12,e13),e12) != e13
& op1(op1(e12,e13),e13) = e12
& op1(e13,e12) != op1(e12,e13) )
| sP42_prd
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f831]) ).
fof(f833,plain,
( op1(e13,e12) != op1(e12,e13)
| sP42_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f832]) ).
fof(f835,plain,
( op1(op1(e12,e13),e12) != e13
| sP42_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f832]) ).
fof(f838,definition,
( sP43_prd
<=> ( ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f839,plain,
( sP41_prd
<=> ( ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f822,f838]) ).
fof(f840,plain,
( ( ( ( op2(op2(e22,e23),e22) = e23
| op2(op2(e22,e23),e23) != e22
| op2(e23,e22) = op2(e22,e23) )
& ~ sP43_prd )
| sP41_prd )
& ( ( op2(op2(e22,e23),e22) != e23
& op2(op2(e22,e23),e23) = e22
& op2(e23,e22) != op2(e22,e23) )
| sP43_prd
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f839]) ).
fof(f841,plain,
( op2(e23,e22) != op2(e22,e23)
| sP43_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f840]) ).
fof(f843,plain,
( op2(op2(e22,e23),e22) != e23
| sP43_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f840]) ).
fof(f844,plain,
( ~ sP43_prd
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f840]) ).
fof(f845,plain,
( op2(op2(e22,e23),e22) = e23
| op2(op2(e22,e23),e23) != e22
| op2(e23,e22) = op2(e22,e23)
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f840]) ).
fof(f846,definition,
( sP44_prd
<=> ( ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f847,plain,
( sP42_prd
<=> ( ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f830,f846]) ).
fof(f848,plain,
( ( ( ( op1(op1(e12,e12),e12) = e12
| op1(op1(e12,e12),e12) != e12
| op1(e12,e12) = op1(e12,e12) )
& ~ sP44_prd )
| sP42_prd )
& ( ( op1(op1(e12,e12),e12) != e12
& op1(op1(e12,e12),e12) = e12
& op1(e12,e12) != op1(e12,e12) )
| sP44_prd
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f847]) ).
fof(f849,plain,
( op1(e12,e12) != op1(e12,e12)
| sP44_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f848]) ).
fof(f854,definition,
( sP45_prd
<=> ( ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f855,plain,
( sP43_prd
<=> ( ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f838,f854]) ).
fof(f856,plain,
( ( ( ( op2(op2(e22,e22),e22) = e22
| op2(op2(e22,e22),e22) != e22
| op2(e22,e22) = op2(e22,e22) )
& ~ sP45_prd )
| sP43_prd )
& ( ( op2(op2(e22,e22),e22) != e22
& op2(op2(e22,e22),e22) = e22
& op2(e22,e22) != op2(e22,e22) )
| sP45_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f855]) ).
fof(f857,plain,
( op2(e22,e22) != op2(e22,e22)
| sP45_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f860,plain,
( ~ sP45_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f862,definition,
( sP46_prd
<=> ( ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f863,plain,
( sP44_prd
<=> ( ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f846,f862]) ).
fof(f864,plain,
( ( ( ( op1(op1(e12,e11),e12) = e11
| op1(op1(e12,e11),e11) != e12
| op1(e11,e12) = op1(e12,e11) )
& ~ sP46_prd )
| sP44_prd )
& ( ( op1(op1(e12,e11),e12) != e11
& op1(op1(e12,e11),e11) = e12
& op1(e11,e12) != op1(e12,e11) )
| sP46_prd
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f863]) ).
fof(f865,plain,
( op1(e11,e12) != op1(e12,e11)
| sP46_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f866,plain,
( op1(op1(e12,e11),e11) = e12
| sP46_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f870,definition,
( sP47_prd
<=> ( ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f871,plain,
( sP45_prd
<=> ( ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f854,f870]) ).
fof(f872,plain,
( ( ( ( op2(op2(e22,e21),e22) = e21
| op2(op2(e22,e21),e21) != e22
| op2(e21,e22) = op2(e22,e21) )
& ~ sP47_prd )
| sP45_prd )
& ( ( op2(op2(e22,e21),e22) != e21
& op2(op2(e22,e21),e21) = e22
& op2(e21,e22) != op2(e22,e21) )
| sP47_prd
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f871]) ).
fof(f873,plain,
( op2(e21,e22) != op2(e22,e21)
| sP47_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f872]) ).
fof(f874,plain,
( op2(op2(e22,e21),e21) = e22
| sP47_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f872]) ).
fof(f875,plain,
( op2(op2(e22,e21),e22) != e21
| sP47_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f872]) ).
fof(f876,plain,
( ~ sP47_prd
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f872]) ).
fof(f877,plain,
( op2(op2(e22,e21),e22) = e21
| op2(op2(e22,e21),e21) != e22
| op2(e21,e22) = op2(e22,e21)
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f872]) ).
fof(f878,definition,
( sP48_prd
<=> ( ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f879,plain,
( sP46_prd
<=> ( ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| sP48_prd ) ),
inference(formula_renaming,[status(thm)],[f862,f878]) ).
fof(f880,plain,
( ( ( ( op1(op1(e12,e10),e12) = e10
| op1(op1(e12,e10),e10) != e12
| op1(e10,e12) = op1(e12,e10) )
& ~ sP48_prd )
| sP46_prd )
& ( ( op1(op1(e12,e10),e12) != e10
& op1(op1(e12,e10),e10) = e12
& op1(e10,e12) != op1(e12,e10) )
| sP48_prd
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f879]) ).
fof(f881,plain,
( op1(e10,e12) != op1(e12,e10)
| sP48_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f880]) ).
fof(f886,definition,
( sP49_prd
<=> ( ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f887,plain,
( sP47_prd
<=> ( ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f870,f886]) ).
fof(f888,plain,
( ( ( ( op2(op2(e22,e20),e22) = e20
| op2(op2(e22,e20),e20) != e22
| op2(e20,e22) = op2(e22,e20) )
& ~ sP49_prd )
| sP47_prd )
& ( ( op2(op2(e22,e20),e22) != e20
& op2(op2(e22,e20),e20) = e22
& op2(e20,e22) != op2(e22,e20) )
| sP49_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f887]) ).
fof(f889,plain,
( op2(e20,e22) != op2(e22,e20)
| sP49_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f892,plain,
( ~ sP49_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f894,definition,
( sP50_prd
<=> ( ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f895,plain,
( sP48_prd
<=> ( ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f878,f894]) ).
fof(f896,plain,
( ( ( ( op1(op1(e11,e14),e11) = e14
| op1(op1(e11,e14),e14) != e11
| op1(e14,e11) = op1(e11,e14) )
& ~ sP50_prd )
| sP48_prd )
& ( ( op1(op1(e11,e14),e11) != e14
& op1(op1(e11,e14),e14) = e11
& op1(e14,e11) != op1(e11,e14) )
| sP50_prd
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f895]) ).
fof(f897,plain,
( op1(e14,e11) != op1(e11,e14)
| sP50_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f896]) ).
fof(f898,plain,
( op1(op1(e11,e14),e14) = e11
| sP50_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f896]) ).
fof(f902,definition,
( sP51_prd
<=> ( ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f903,plain,
( sP49_prd
<=> ( ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f886,f902]) ).
fof(f904,plain,
( ( ( ( op2(op2(e21,e24),e21) = e24
| op2(op2(e21,e24),e24) != e21
| op2(e24,e21) = op2(e21,e24) )
& ~ sP51_prd )
| sP49_prd )
& ( ( op2(op2(e21,e24),e21) != e24
& op2(op2(e21,e24),e24) = e21
& op2(e24,e21) != op2(e21,e24) )
| sP51_prd
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f903]) ).
fof(f905,plain,
( op2(e24,e21) != op2(e21,e24)
| sP51_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f904]) ).
fof(f906,plain,
( op2(op2(e21,e24),e24) = e21
| sP51_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f904]) ).
fof(f908,plain,
( ~ sP51_prd
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f904]) ).
fof(f910,definition,
( sP52_prd
<=> ( ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f911,plain,
( sP50_prd
<=> ( ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f894,f910]) ).
fof(f912,plain,
( ( ( ( op1(op1(e11,e13),e11) = e13
| op1(op1(e11,e13),e13) != e11
| op1(e13,e11) = op1(e11,e13) )
& ~ sP52_prd )
| sP50_prd )
& ( ( op1(op1(e11,e13),e11) != e13
& op1(op1(e11,e13),e13) = e11
& op1(e13,e11) != op1(e11,e13) )
| sP52_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f911]) ).
fof(f913,plain,
( op1(e13,e11) != op1(e11,e13)
| sP52_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f912]) ).
fof(f914,plain,
( op1(op1(e11,e13),e13) = e11
| sP52_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f912]) ).
fof(f916,plain,
( ~ sP52_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f912]) ).
fof(f918,definition,
( sP53_prd
<=> ( ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f919,plain,
( sP51_prd
<=> ( ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f902,f918]) ).
fof(f920,plain,
( ( ( ( op2(op2(e21,e23),e21) = e23
| op2(op2(e21,e23),e23) != e21
| op2(e23,e21) = op2(e21,e23) )
& ~ sP53_prd )
| sP51_prd )
& ( ( op2(op2(e21,e23),e21) != e23
& op2(op2(e21,e23),e23) = e21
& op2(e23,e21) != op2(e21,e23) )
| sP53_prd
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f919]) ).
fof(f921,plain,
( op2(e23,e21) != op2(e21,e23)
| sP53_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f920]) ).
fof(f922,plain,
( op2(op2(e21,e23),e23) = e21
| sP53_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f920]) ).
fof(f924,plain,
( ~ sP53_prd
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f920]) ).
fof(f926,definition,
( sP54_prd
<=> ( ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f927,plain,
( sP52_prd
<=> ( ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f910,f926]) ).
fof(f928,plain,
( ( ( ( op1(op1(e11,e12),e11) = e12
| op1(op1(e11,e12),e12) != e11
| op1(e12,e11) = op1(e11,e12) )
& ~ sP54_prd )
| sP52_prd )
& ( ( op1(op1(e11,e12),e11) != e12
& op1(op1(e11,e12),e12) = e11
& op1(e12,e11) != op1(e11,e12) )
| sP54_prd
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f927]) ).
fof(f929,plain,
( op1(e12,e11) != op1(e11,e12)
| sP54_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f928]) ).
fof(f930,plain,
( op1(op1(e11,e12),e12) = e11
| sP54_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f928]) ).
fof(f933,plain,
( op1(op1(e11,e12),e11) = e12
| op1(op1(e11,e12),e12) != e11
| op1(e12,e11) = op1(e11,e12)
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f928]) ).
fof(f934,definition,
( sP55_prd
<=> ( ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f935,plain,
( sP53_prd
<=> ( ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f918,f934]) ).
fof(f936,plain,
( ( ( ( op2(op2(e21,e22),e21) = e22
| op2(op2(e21,e22),e22) != e21
| op2(e22,e21) = op2(e21,e22) )
& ~ sP55_prd )
| sP53_prd )
& ( ( op2(op2(e21,e22),e21) != e22
& op2(op2(e21,e22),e22) = e21
& op2(e22,e21) != op2(e21,e22) )
| sP55_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f935]) ).
fof(f938,plain,
( op2(op2(e21,e22),e22) = e21
| sP55_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f936]) ).
fof(f939,plain,
( op2(op2(e21,e22),e21) != e22
| sP55_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f936]) ).
fof(f941,plain,
( op2(op2(e21,e22),e21) = e22
| op2(op2(e21,e22),e22) != e21
| op2(e22,e21) = op2(e21,e22)
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f936]) ).
fof(f942,definition,
( sP56_prd
<=> ( ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f943,plain,
( sP54_prd
<=> ( ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f926,f942]) ).
fof(f944,plain,
( ( ( ( op1(op1(e11,e11),e11) = e11
| op1(op1(e11,e11),e11) != e11
| op1(e11,e11) = op1(e11,e11) )
& ~ sP56_prd )
| sP54_prd )
& ( ( op1(op1(e11,e11),e11) != e11
& op1(op1(e11,e11),e11) = e11
& op1(e11,e11) != op1(e11,e11) )
| sP56_prd
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f943]) ).
fof(f945,plain,
( op1(e11,e11) != op1(e11,e11)
| sP56_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f944]) ).
fof(f950,definition,
( sP57_prd
<=> ( ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f951,plain,
( sP55_prd
<=> ( ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| sP57_prd ) ),
inference(formula_renaming,[status(thm)],[f934,f950]) ).
fof(f952,plain,
( ( ( ( op2(op2(e21,e21),e21) = e21
| op2(op2(e21,e21),e21) != e21
| op2(e21,e21) = op2(e21,e21) )
& ~ sP57_prd )
| sP55_prd )
& ( ( op2(op2(e21,e21),e21) != e21
& op2(op2(e21,e21),e21) = e21
& op2(e21,e21) != op2(e21,e21) )
| sP57_prd
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f951]) ).
fof(f953,plain,
( op2(e21,e21) != op2(e21,e21)
| sP57_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f952]) ).
fof(f958,definition,
( sP58_prd
<=> ( ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f959,plain,
( sP56_prd
<=> ( ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f942,f958]) ).
fof(f960,plain,
( ( ( ( op1(op1(e11,e10),e11) = e10
| op1(op1(e11,e10),e10) != e11
| op1(e10,e11) = op1(e11,e10) )
& ~ sP58_prd )
| sP56_prd )
& ( ( op1(op1(e11,e10),e11) != e10
& op1(op1(e11,e10),e10) = e11
& op1(e10,e11) != op1(e11,e10) )
| sP58_prd
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f959]) ).
fof(f961,plain,
( op1(e10,e11) != op1(e11,e10)
| sP58_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f960]) ).
fof(f966,definition,
( sP59_prd
<=> ( ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f967,plain,
( sP57_prd
<=> ( ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f950,f966]) ).
fof(f968,plain,
( ( ( ( op2(op2(e21,e20),e21) = e20
| op2(op2(e21,e20),e20) != e21
| op2(e20,e21) = op2(e21,e20) )
& ~ sP59_prd )
| sP57_prd )
& ( ( op2(op2(e21,e20),e21) != e20
& op2(op2(e21,e20),e20) = e21
& op2(e20,e21) != op2(e21,e20) )
| sP59_prd
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f967]) ).
fof(f969,plain,
( op2(e20,e21) != op2(e21,e20)
| sP59_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f968]) ).
fof(f974,definition,
( sP60_prd
<=> ( ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f975,plain,
( sP58_prd
<=> ( ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| sP60_prd ) ),
inference(formula_renaming,[status(thm)],[f958,f974]) ).
fof(f976,plain,
( ( ( ( op1(op1(e10,e14),e10) = e14
| op1(op1(e10,e14),e14) != e10
| op1(e14,e10) = op1(e10,e14) )
& ~ sP60_prd )
| sP58_prd )
& ( ( op1(op1(e10,e14),e10) != e14
& op1(op1(e10,e14),e14) = e10
& op1(e14,e10) != op1(e10,e14) )
| sP60_prd
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f975]) ).
fof(f977,plain,
( op1(e14,e10) != op1(e10,e14)
| sP60_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f976]) ).
fof(f982,definition,
( sP61_prd
<=> ( ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f983,plain,
( sP59_prd
<=> ( ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f966,f982]) ).
fof(f984,plain,
( ( ( ( op2(op2(e20,e24),e20) = e24
| op2(op2(e20,e24),e24) != e20
| op2(e24,e20) = op2(e20,e24) )
& ~ sP61_prd )
| sP59_prd )
& ( ( op2(op2(e20,e24),e20) != e24
& op2(op2(e20,e24),e24) = e20
& op2(e24,e20) != op2(e20,e24) )
| sP61_prd
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f983]) ).
fof(f985,plain,
( op2(e24,e20) != op2(e20,e24)
| sP61_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f984]) ).
fof(f990,definition,
( sP62_prd
<=> ( ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f991,plain,
( sP60_prd
<=> ( ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f974,f990]) ).
fof(f992,plain,
( ( ( ( op1(op1(e10,e13),e10) = e13
| op1(op1(e10,e13),e13) != e10
| op1(e13,e10) = op1(e10,e13) )
& ~ sP62_prd )
| sP60_prd )
& ( ( op1(op1(e10,e13),e10) != e13
& op1(op1(e10,e13),e13) = e10
& op1(e13,e10) != op1(e10,e13) )
| sP62_prd
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f991]) ).
fof(f993,plain,
( op1(e13,e10) != op1(e10,e13)
| sP62_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f992]) ).
fof(f998,definition,
( sP63_prd
<=> ( ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f999,plain,
( sP61_prd
<=> ( ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f982,f998]) ).
fof(f1000,plain,
( ( ( ( op2(op2(e20,e23),e20) = e23
| op2(op2(e20,e23),e23) != e20
| op2(e23,e20) = op2(e20,e23) )
& ~ sP63_prd )
| sP61_prd )
& ( ( op2(op2(e20,e23),e20) != e23
& op2(op2(e20,e23),e23) = e20
& op2(e23,e20) != op2(e20,e23) )
| sP63_prd
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f999]) ).
fof(f1001,plain,
( op2(e23,e20) != op2(e20,e23)
| sP63_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f1000]) ).
fof(f1006,definition,
( sP64_prd
<=> ( ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f1007,plain,
( sP62_prd
<=> ( ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f990,f1006]) ).
fof(f1008,plain,
( ( ( ( op1(op1(e10,e12),e10) = e12
| op1(op1(e10,e12),e12) != e10
| op1(e12,e10) = op1(e10,e12) )
& ~ sP64_prd )
| sP62_prd )
& ( ( op1(op1(e10,e12),e10) != e12
& op1(op1(e10,e12),e12) = e10
& op1(e12,e10) != op1(e10,e12) )
| sP64_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f1007]) ).
fof(f1011,plain,
( op1(op1(e10,e12),e10) != e12
| sP64_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f1008]) ).
fof(f1014,definition,
( sP65_prd
<=> ( ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f1015,plain,
( sP63_prd
<=> ( ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f998,f1014]) ).
fof(f1016,plain,
( ( ( ( op2(op2(e20,e22),e20) = e22
| op2(op2(e20,e22),e22) != e20
| op2(e22,e20) = op2(e20,e22) )
& ~ sP65_prd )
| sP63_prd )
& ( ( op2(op2(e20,e22),e20) != e22
& op2(op2(e20,e22),e22) = e20
& op2(e22,e20) != op2(e20,e22) )
| sP65_prd
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f1015]) ).
fof(f1017,plain,
( op2(e22,e20) != op2(e20,e22)
| sP65_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f1016]) ).
fof(f1022,definition,
( sP66_prd
<=> ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f1023,plain,
( sP64_prd
<=> ( ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| sP66_prd ) ),
inference(formula_renaming,[status(thm)],[f1006,f1022]) ).
fof(f1024,plain,
( ( ( ( op1(op1(e10,e11),e10) = e11
| op1(op1(e10,e11),e11) != e10
| op1(e11,e10) = op1(e10,e11) )
& ~ sP66_prd )
| sP64_prd )
& ( ( op1(op1(e10,e11),e10) != e11
& op1(op1(e10,e11),e11) = e10
& op1(e11,e10) != op1(e10,e11) )
| sP66_prd
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f1023]) ).
fof(f1026,plain,
( op1(op1(e10,e11),e11) = e10
| sP66_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f1024]) ).
fof(f1030,definition,
( sP67_prd
<=> ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f1031,plain,
( sP65_prd
<=> ( ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f1014,f1030]) ).
fof(f1032,plain,
( ( ( ( op2(op2(e20,e21),e20) = e21
| op2(op2(e20,e21),e21) != e20
| op2(e21,e20) = op2(e20,e21) )
& ~ sP67_prd )
| sP65_prd )
& ( ( op2(op2(e20,e21),e20) != e21
& op2(op2(e20,e21),e21) = e20
& op2(e21,e20) != op2(e20,e21) )
| sP67_prd
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f1031]) ).
fof(f1034,plain,
( op2(op2(e20,e21),e21) = e20
| sP67_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f1032]) ).
fof(f1038,plain,
( ( op1(op1(e10,e10),e10) = e10
| op1(op1(e10,e10),e10) != e10
| op1(e10,e10) = op1(e10,e10)
| sP66_prd )
& ( ( op1(op1(e10,e10),e10) != e10
& op1(op1(e10,e10),e10) = e10
& op1(e10,e10) != op1(e10,e10) )
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f1022]) ).
fof(f1039,plain,
( op1(e10,e10) != op1(e10,e10)
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f1038]) ).
fof(f1043,plain,
( ( op2(op2(e20,e20),e20) = e20
| op2(op2(e20,e20),e20) != e20
| op2(e20,e20) = op2(e20,e20)
| sP67_prd )
& ( ( op2(op2(e20,e20),e20) != e20
& op2(op2(e20,e20),e20) = e20
& op2(e20,e20) != op2(e20,e20) )
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f1030]) ).
fof(f1044,plain,
( op2(e20,e20) != op2(e20,e20)
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f1043]) ).
fof(f1048,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1049,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1051,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1055,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1058,plain,
( ~ sQ3_spl
| op1(e10,e10) = e13 ),
inference(component_clause,[status(thm)],[f1057]) ).
fof(f1060,definition,
( sQ4_spl
<=> op1(e10,e10) = e14 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1064,definition,
( sQ5_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1065,plain,
( ~ sQ5_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f1064]) ).
fof(f1067,definition,
( sQ6_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1068,plain,
( ~ sQ6_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,definition,
( sQ7_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1071,plain,
( ~ sQ7_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,definition,
( sQ8_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1074,plain,
( ~ sQ8_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1076,definition,
( sQ9_spl
<=> op1(e10,e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( ~ sQ9_spl
| op1(e10,e11) = e14 ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1080,definition,
( sQ10_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1081,plain,
( ~ sQ10_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,definition,
( sQ11_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1084,plain,
( ~ sQ11_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1086,definition,
( sQ12_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1087,plain,
( ~ sQ12_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1089,definition,
( sQ13_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1090,plain,
( ~ sQ13_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f1089]) ).
fof(f1092,definition,
( sQ14_spl
<=> op1(e10,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1093,plain,
( ~ sQ14_spl
| op1(e10,e12) = e14 ),
inference(component_clause,[status(thm)],[f1092]) ).
fof(f1096,definition,
( sQ15_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1097,plain,
( ~ sQ15_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f1096]) ).
fof(f1099,definition,
( sQ16_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1100,plain,
( ~ sQ16_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1102,definition,
( sQ17_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1103,plain,
( ~ sQ17_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,definition,
( sQ18_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1106,plain,
( ~ sQ18_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1108,definition,
( sQ19_spl
<=> op1(e10,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1112,definition,
( sQ20_spl
<=> op1(e10,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1115,definition,
( sQ21_spl
<=> op1(e10,e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1116,plain,
( ~ sQ21_spl
| op1(e10,e14) = e11 ),
inference(component_clause,[status(thm)],[f1115]) ).
fof(f1118,definition,
( sQ22_spl
<=> op1(e10,e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1121,definition,
( sQ23_spl
<=> op1(e10,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( ~ sQ23_spl
| op1(e10,e14) = e13 ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,definition,
( sQ24_spl
<=> op1(e10,e14) = e14 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1125,plain,
( ~ sQ24_spl
| op1(e10,e14) = e14 ),
inference(component_clause,[status(thm)],[f1124]) ).
fof(f1128,definition,
( sQ25_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1131,definition,
( sQ26_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
( ~ sQ26_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1134,definition,
( sQ27_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1135,plain,
( ~ sQ27_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f1134]) ).
fof(f1137,definition,
( sQ28_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1140,definition,
( sQ29_spl
<=> op1(e11,e10) = e14 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1144,definition,
( sQ30_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1145,plain,
( ~ sQ30_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f1144]) ).
fof(f1147,definition,
( sQ31_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( ~ sQ31_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1150,definition,
( sQ32_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1151,plain,
( ~ sQ32_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1153,definition,
( sQ33_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1154,plain,
( ~ sQ33_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f1153]) ).
fof(f1156,definition,
( sQ34_spl
<=> op1(e11,e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1160,definition,
( sQ35_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1161,plain,
( ~ sQ35_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1163,definition,
( sQ36_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1164,plain,
( ~ sQ36_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f1163]) ).
fof(f1166,definition,
( sQ37_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1167,plain,
( ~ sQ37_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f1166]) ).
fof(f1169,definition,
( sQ38_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1170,plain,
( ~ sQ38_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f1169]) ).
fof(f1172,definition,
( sQ39_spl
<=> op1(e11,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1173,plain,
( ~ sQ39_spl
| op1(e11,e12) = e14 ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1174,plain,
( sQ39_spl
| op1(e11,e12) != e14 ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1176,definition,
( sQ40_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1177,plain,
( ~ sQ40_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1179,definition,
( sQ41_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1180,plain,
( ~ sQ41_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1182,definition,
( sQ42_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1183,plain,
( ~ sQ42_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f1182]) ).
fof(f1185,definition,
( sQ43_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1186,plain,
( ~ sQ43_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f1185]) ).
fof(f1188,definition,
( sQ44_spl
<=> op1(e11,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1189,plain,
( ~ sQ44_spl
| op1(e11,e13) = e14 ),
inference(component_clause,[status(thm)],[f1188]) ).
fof(f1191,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f31,f1176,f1179,f1182,f1185,f1188]) ).
fof(f1192,definition,
( sQ45_spl
<=> op1(e11,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1193,plain,
( ~ sQ45_spl
| op1(e11,e14) = e10 ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1195,definition,
( sQ46_spl
<=> op1(e11,e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1198,definition,
( sQ47_spl
<=> op1(e11,e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1201,definition,
( sQ48_spl
<=> op1(e11,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1202,plain,
( ~ sQ48_spl
| op1(e11,e14) = e13 ),
inference(component_clause,[status(thm)],[f1201]) ).
fof(f1204,definition,
( sQ49_spl
<=> op1(e11,e14) = e14 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1205,plain,
( ~ sQ49_spl
| op1(e11,e14) = e14 ),
inference(component_clause,[status(thm)],[f1204]) ).
fof(f1207,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f32,f1192,f1195,f1198,f1201,f1204]) ).
fof(f1208,definition,
( sQ50_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1209,plain,
( ~ sQ50_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1211,definition,
( sQ51_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1212,plain,
( ~ sQ51_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f1211]) ).
fof(f1214,definition,
( sQ52_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1215,plain,
( ~ sQ52_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f1214]) ).
fof(f1217,definition,
( sQ53_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1218,plain,
( ~ sQ53_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1220,definition,
( sQ54_spl
<=> op1(e12,e10) = e14 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1224,definition,
( sQ55_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
( ~ sQ55_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f1224]) ).
fof(f1227,definition,
( sQ56_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1228,plain,
( ~ sQ56_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1230,definition,
( sQ57_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1231,plain,
( ~ sQ57_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f1230]) ).
fof(f1233,definition,
( sQ58_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1234,plain,
( ~ sQ58_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f1233]) ).
fof(f1240,definition,
( sQ60_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1241,plain,
( ~ sQ60_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f1240]) ).
fof(f1246,definition,
( sQ62_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1249,definition,
( sQ63_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( ~ sQ63_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1252,definition,
( sQ64_spl
<=> op1(e12,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1253,plain,
( ~ sQ64_spl
| op1(e12,e12) = e14 ),
inference(component_clause,[status(thm)],[f1252]) ).
fof(f1256,definition,
( sQ65_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1257,plain,
( ~ sQ65_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f1256]) ).
fof(f1259,definition,
( sQ66_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1260,plain,
( ~ sQ66_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,definition,
( sQ67_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( ~ sQ67_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,definition,
( sQ68_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1268,definition,
( sQ69_spl
<=> op1(e12,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1269,plain,
( ~ sQ69_spl
| op1(e12,e13) = e14 ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1271,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f36,f1256,f1259,f1262,f1265,f1268]) ).
fof(f1272,definition,
( sQ70_spl
<=> op1(e12,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1273,plain,
( ~ sQ70_spl
| op1(e12,e14) = e10 ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1275,definition,
( sQ71_spl
<=> op1(e12,e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1276,plain,
( ~ sQ71_spl
| op1(e12,e14) = e11 ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1278,definition,
( sQ72_spl
<=> op1(e12,e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1281,definition,
( sQ73_spl
<=> op1(e12,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1282,plain,
( ~ sQ73_spl
| op1(e12,e14) = e13 ),
inference(component_clause,[status(thm)],[f1281]) ).
fof(f1284,definition,
( sQ74_spl
<=> op1(e12,e14) = e14 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1285,plain,
( ~ sQ74_spl
| op1(e12,e14) = e14 ),
inference(component_clause,[status(thm)],[f1284]) ).
fof(f1288,definition,
( sQ75_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( ~ sQ75_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,definition,
( sQ76_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1292,plain,
( ~ sQ76_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f1291]) ).
fof(f1294,definition,
( sQ77_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1295,plain,
( ~ sQ77_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f1294]) ).
fof(f1297,definition,
( sQ78_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1298,plain,
( ~ sQ78_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f1297]) ).
fof(f1300,definition,
( sQ79_spl
<=> op1(e13,e10) = e14 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1304,definition,
( sQ80_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1305,plain,
( ~ sQ80_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f1304]) ).
fof(f1307,definition,
( sQ81_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
( ~ sQ81_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f1307]) ).
fof(f1310,definition,
( sQ82_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1311,plain,
( ~ sQ82_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f1310]) ).
fof(f1313,definition,
( sQ83_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1314,plain,
( ~ sQ83_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f1313]) ).
fof(f1316,definition,
( sQ84_spl
<=> op1(e13,e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1319,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f39,f1304,f1307,f1310,f1313,f1316]) ).
fof(f1320,definition,
( sQ85_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1321,plain,
( ~ sQ85_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f1320]) ).
fof(f1322,plain,
( sQ85_spl
| op1(e13,e12) != e10 ),
inference(component_clause,[status(thm)],[f1320]) ).
fof(f1323,definition,
( sQ86_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1324,plain,
( ~ sQ86_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f1323]) ).
fof(f1326,definition,
( sQ87_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1327,plain,
( ~ sQ87_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f1326]) ).
fof(f1329,definition,
( sQ88_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1330,plain,
( ~ sQ88_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f1329]) ).
fof(f1332,definition,
( sQ89_spl
<=> op1(e13,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1333,plain,
( ~ sQ89_spl
| op1(e13,e12) = e14 ),
inference(component_clause,[status(thm)],[f1332]) ).
fof(f1336,definition,
( sQ90_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1337,plain,
( ~ sQ90_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f1336]) ).
fof(f1339,definition,
( sQ91_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1342,definition,
( sQ92_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( ~ sQ92_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f1342]) ).
fof(f1345,definition,
( sQ93_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
( ~ sQ93_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f1345]) ).
fof(f1348,definition,
( sQ94_spl
<=> op1(e13,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
( ~ sQ94_spl
| op1(e13,e13) = e14 ),
inference(component_clause,[status(thm)],[f1348]) ).
fof(f1351,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f41,f1336,f1339,f1342,f1345,f1348]) ).
fof(f1352,definition,
( sQ95_spl
<=> op1(e13,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1353,plain,
( ~ sQ95_spl
| op1(e13,e14) = e10 ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,definition,
( sQ96_spl
<=> op1(e13,e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1356,plain,
( ~ sQ96_spl
| op1(e13,e14) = e11 ),
inference(component_clause,[status(thm)],[f1355]) ).
fof(f1358,definition,
( sQ97_spl
<=> op1(e13,e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1359,plain,
( ~ sQ97_spl
| op1(e13,e14) = e12 ),
inference(component_clause,[status(thm)],[f1358]) ).
fof(f1361,definition,
( sQ98_spl
<=> op1(e13,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1364,definition,
( sQ99_spl
<=> op1(e13,e14) = e14 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1365,plain,
( ~ sQ99_spl
| op1(e13,e14) = e14 ),
inference(component_clause,[status(thm)],[f1364]) ).
fof(f1368,definition,
( sQ100_spl
<=> op1(e14,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1369,plain,
( ~ sQ100_spl
| op1(e14,e10) = e10 ),
inference(component_clause,[status(thm)],[f1368]) ).
fof(f1371,definition,
( sQ101_spl
<=> op1(e14,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1372,plain,
( ~ sQ101_spl
| op1(e14,e10) = e11 ),
inference(component_clause,[status(thm)],[f1371]) ).
fof(f1374,definition,
( sQ102_spl
<=> op1(e14,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1375,plain,
( ~ sQ102_spl
| op1(e14,e10) = e12 ),
inference(component_clause,[status(thm)],[f1374]) ).
fof(f1377,definition,
( sQ103_spl
<=> op1(e14,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1378,plain,
( ~ sQ103_spl
| op1(e14,e10) = e13 ),
inference(component_clause,[status(thm)],[f1377]) ).
fof(f1380,definition,
( sQ104_spl
<=> op1(e14,e10) = e14 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1381,plain,
( ~ sQ104_spl
| op1(e14,e10) = e14 ),
inference(component_clause,[status(thm)],[f1380]) ).
fof(f1384,definition,
( sQ105_spl
<=> op1(e14,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1385,plain,
( ~ sQ105_spl
| op1(e14,e11) = e10 ),
inference(component_clause,[status(thm)],[f1384]) ).
fof(f1387,definition,
( sQ106_spl
<=> op1(e14,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1388,plain,
( ~ sQ106_spl
| op1(e14,e11) = e11 ),
inference(component_clause,[status(thm)],[f1387]) ).
fof(f1390,definition,
( sQ107_spl
<=> op1(e14,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1391,plain,
( ~ sQ107_spl
| op1(e14,e11) = e12 ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1393,definition,
( sQ108_spl
<=> op1(e14,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1394,plain,
( ~ sQ108_spl
| op1(e14,e11) = e13 ),
inference(component_clause,[status(thm)],[f1393]) ).
fof(f1396,definition,
( sQ109_spl
<=> op1(e14,e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1397,plain,
( ~ sQ109_spl
| op1(e14,e11) = e14 ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f44,f1384,f1387,f1390,f1393,f1396]) ).
fof(f1400,definition,
( sQ110_spl
<=> op1(e14,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1401,plain,
( ~ sQ110_spl
| op1(e14,e12) = e10 ),
inference(component_clause,[status(thm)],[f1400]) ).
fof(f1403,definition,
( sQ111_spl
<=> op1(e14,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1404,plain,
( ~ sQ111_spl
| op1(e14,e12) = e11 ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1406,definition,
( sQ112_spl
<=> op1(e14,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1407,plain,
( ~ sQ112_spl
| op1(e14,e12) = e12 ),
inference(component_clause,[status(thm)],[f1406]) ).
fof(f1409,definition,
( sQ113_spl
<=> op1(e14,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1410,plain,
( ~ sQ113_spl
| op1(e14,e12) = e13 ),
inference(component_clause,[status(thm)],[f1409]) ).
fof(f1412,definition,
( sQ114_spl
<=> op1(e14,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1415,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f45,f1400,f1403,f1406,f1409,f1412]) ).
fof(f1416,definition,
( sQ115_spl
<=> op1(e14,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1417,plain,
( ~ sQ115_spl
| op1(e14,e13) = e10 ),
inference(component_clause,[status(thm)],[f1416]) ).
fof(f1419,definition,
( sQ116_spl
<=> op1(e14,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1420,plain,
( ~ sQ116_spl
| op1(e14,e13) = e11 ),
inference(component_clause,[status(thm)],[f1419]) ).
fof(f1422,definition,
( sQ117_spl
<=> op1(e14,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1423,plain,
( ~ sQ117_spl
| op1(e14,e13) = e12 ),
inference(component_clause,[status(thm)],[f1422]) ).
fof(f1424,plain,
( sQ117_spl
| op1(e14,e13) != e12 ),
inference(component_clause,[status(thm)],[f1422]) ).
fof(f1425,definition,
( sQ118_spl
<=> op1(e14,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1426,plain,
( ~ sQ118_spl
| op1(e14,e13) = e13 ),
inference(component_clause,[status(thm)],[f1425]) ).
fof(f1428,definition,
( sQ119_spl
<=> op1(e14,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1429,plain,
( ~ sQ119_spl
| op1(e14,e13) = e14 ),
inference(component_clause,[status(thm)],[f1428]) ).
fof(f1432,definition,
( sQ120_spl
<=> op1(e14,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1433,plain,
( ~ sQ120_spl
| op1(e14,e14) = e10 ),
inference(component_clause,[status(thm)],[f1432]) ).
fof(f1435,definition,
( sQ121_spl
<=> op1(e14,e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1436,plain,
( ~ sQ121_spl
| op1(e14,e14) = e11 ),
inference(component_clause,[status(thm)],[f1435]) ).
fof(f1438,definition,
( sQ122_spl
<=> op1(e14,e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1439,plain,
( ~ sQ122_spl
| op1(e14,e14) = e12 ),
inference(component_clause,[status(thm)],[f1438]) ).
fof(f1441,definition,
( sQ123_spl
<=> op1(e14,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1442,plain,
( ~ sQ123_spl
| op1(e14,e14) = e13 ),
inference(component_clause,[status(thm)],[f1441]) ).
fof(f1444,definition,
( sQ124_spl
<=> op1(e14,e14) = e14 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1445,plain,
( ~ sQ124_spl
| op1(e14,e14) = e14 ),
inference(component_clause,[status(thm)],[f1444]) ).
fof(f1448,definition,
( sQ125_spl
<=> unit1 = e10 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1449,plain,
( ~ sQ125_spl
| unit1 = e10 ),
inference(component_clause,[status(thm)],[f1448]) ).
fof(f1451,definition,
( sQ126_spl
<=> unit1 = e11 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1452,plain,
( ~ sQ126_spl
| unit1 = e11 ),
inference(component_clause,[status(thm)],[f1451]) ).
fof(f1454,definition,
( sQ127_spl
<=> unit1 = e12 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1455,plain,
( ~ sQ127_spl
| unit1 = e12 ),
inference(component_clause,[status(thm)],[f1454]) ).
fof(f1457,definition,
( sQ128_spl
<=> unit1 = e13 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1458,plain,
( ~ sQ128_spl
| unit1 = e13 ),
inference(component_clause,[status(thm)],[f1457]) ).
fof(f1460,definition,
( sQ129_spl
<=> unit1 = e14 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1461,plain,
( ~ sQ129_spl
| unit1 = e14 ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1463,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f58,f1448,f1451,f1454,f1457,f1460]) ).
fof(f1468,plain,
( sQ22_spl
| sQ17_spl
| sQ12_spl
| sQ7_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f63,f1054,f1070,f1086,f1102,f1118]) ).
fof(f1474,plain,
( sQ45_spl
| sQ40_spl
| sQ35_spl
| sQ30_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f69,f1128,f1144,f1160,f1176,f1192]) ).
fof(f1475,plain,
( sQ105_spl
| sQ80_spl
| sQ55_spl
| sQ30_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f70,f1064,f1144,f1224,f1304,f1384]) ).
fof(f1479,plain,
( sQ107_spl
| sQ82_spl
| sQ57_spl
| sQ32_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f74,f1070,f1150,f1230,f1310,f1390]) ).
fof(f1480,plain,
( sQ48_spl
| sQ43_spl
| sQ38_spl
| sQ33_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f75,f1137,f1153,f1169,f1185,f1201]) ).
fof(f1481,plain,
( sQ108_spl
| sQ83_spl
| sQ58_spl
| sQ33_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f76,f1073,f1153,f1233,f1313,f1393]) ).
fof(f1484,plain,
( sQ70_spl
| sQ65_spl
| sQ60_spl
| sQ55_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f79,f1208,f1224,f1240,f1256,f1272]) ).
fof(f1490,plain,
( sQ73_spl
| sQ68_spl
| sQ63_spl
| sQ58_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f85,f1217,f1233,f1249,f1265,f1281]) ).
fof(f1491,plain,
( sQ113_spl
| sQ88_spl
| sQ63_spl
| sQ38_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f86,f1089,f1169,f1249,f1329,f1409]) ).
fof(f1493,plain,
( sQ114_spl
| sQ89_spl
| sQ64_spl
| sQ39_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f88,f1092,f1172,f1252,f1332,f1412]) ).
fof(f1495,plain,
( sQ115_spl
| sQ90_spl
| sQ65_spl
| sQ40_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f90,f1096,f1176,f1256,f1336,f1416]) ).
fof(f1498,plain,
( sQ97_spl
| sQ92_spl
| sQ87_spl
| sQ82_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f93,f1294,f1310,f1326,f1342,f1358]) ).
fof(f1503,plain,
( sQ119_spl
| sQ94_spl
| sQ69_spl
| sQ44_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f98,f1108,f1188,f1268,f1348,f1428]) ).
fof(f1504,plain,
( sQ120_spl
| sQ115_spl
| sQ110_spl
| sQ105_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f99,f1368,f1384,f1400,f1416,f1432]) ).
fof(f1505,plain,
( sQ120_spl
| sQ95_spl
| sQ70_spl
| sQ45_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f100,f1112,f1192,f1272,f1352,f1432]) ).
fof(f1506,plain,
( sQ121_spl
| sQ116_spl
| sQ111_spl
| sQ106_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f101,f1371,f1387,f1403,f1419,f1435]) ).
fof(f1507,plain,
( sQ121_spl
| sQ96_spl
| sQ71_spl
| sQ46_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f102,f1115,f1195,f1275,f1355,f1435]) ).
fof(f1511,plain,
( sQ123_spl
| sQ98_spl
| sQ73_spl
| sQ48_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f106,f1121,f1201,f1281,f1361,f1441]) ).
fof(f1514,definition,
( sQ130_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( ~ sQ130_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f1514]) ).
fof(f1517,definition,
( sQ131_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1518,plain,
( ~ sQ131_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f1517]) ).
fof(f1520,definition,
( sQ132_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1521,plain,
( ~ sQ132_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f1520]) ).
fof(f1523,definition,
( sQ133_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1524,plain,
( ~ sQ133_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f1523]) ).
fof(f1526,definition,
( sQ134_spl
<=> op2(e20,e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1527,plain,
( ~ sQ134_spl
| op2(e20,e20) = e24 ),
inference(component_clause,[status(thm)],[f1526]) ).
fof(f1530,definition,
( sQ135_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1531,plain,
( ~ sQ135_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f1530]) ).
fof(f1533,definition,
( sQ136_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1534,plain,
( ~ sQ136_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f1533]) ).
fof(f1536,definition,
( sQ137_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1537,plain,
( ~ sQ137_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f1536]) ).
fof(f1539,definition,
( sQ138_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
( ~ sQ138_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1542,definition,
( sQ139_spl
<=> op2(e20,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1543,plain,
( ~ sQ139_spl
| op2(e20,e21) = e24 ),
inference(component_clause,[status(thm)],[f1542]) ).
fof(f1546,definition,
( sQ140_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
( ~ sQ140_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f1546]) ).
fof(f1549,definition,
( sQ141_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1550,plain,
( ~ sQ141_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f1549]) ).
fof(f1552,definition,
( sQ142_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1555,definition,
( sQ143_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1556,plain,
( ~ sQ143_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f1555]) ).
fof(f1558,definition,
( sQ144_spl
<=> op2(e20,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1561,plain,
( sQ144_spl
| sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f111,f1546,f1549,f1552,f1555,f1558]) ).
fof(f1562,definition,
( sQ145_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1563,plain,
( ~ sQ145_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f1562]) ).
fof(f1565,definition,
( sQ146_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1566,plain,
( ~ sQ146_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f1565]) ).
fof(f1568,definition,
( sQ147_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1569,plain,
( ~ sQ147_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f1568]) ).
fof(f1571,definition,
( sQ148_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1572,plain,
( ~ sQ148_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f1571]) ).
fof(f1574,definition,
( sQ149_spl
<=> op2(e20,e23) = e24 ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1577,plain,
( sQ149_spl
| sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f112,f1562,f1565,f1568,f1571,f1574]) ).
fof(f1578,definition,
( sQ150_spl
<=> op2(e20,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1579,plain,
( ~ sQ150_spl
| op2(e20,e24) = e20 ),
inference(component_clause,[status(thm)],[f1578]) ).
fof(f1581,definition,
( sQ151_spl
<=> op2(e20,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1582,plain,
( ~ sQ151_spl
| op2(e20,e24) = e21 ),
inference(component_clause,[status(thm)],[f1581]) ).
fof(f1584,definition,
( sQ152_spl
<=> op2(e20,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1585,plain,
( ~ sQ152_spl
| op2(e20,e24) = e22 ),
inference(component_clause,[status(thm)],[f1584]) ).
fof(f1587,definition,
( sQ153_spl
<=> op2(e20,e24) = e23 ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1588,plain,
( ~ sQ153_spl
| op2(e20,e24) = e23 ),
inference(component_clause,[status(thm)],[f1587]) ).
fof(f1590,definition,
( sQ154_spl
<=> op2(e20,e24) = e24 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1591,plain,
( ~ sQ154_spl
| op2(e20,e24) = e24 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1592,plain,
( sQ154_spl
| op2(e20,e24) != e24 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1594,definition,
( sQ155_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1595,plain,
( ~ sQ155_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f1594]) ).
fof(f1597,definition,
( sQ156_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1598,plain,
( ~ sQ156_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f1597]) ).
fof(f1600,definition,
( sQ157_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1601,plain,
( ~ sQ157_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f1600]) ).
fof(f1603,definition,
( sQ158_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1604,plain,
( ~ sQ158_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f1603]) ).
fof(f1606,definition,
( sQ159_spl
<=> op2(e21,e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1607,plain,
( ~ sQ159_spl
| op2(e21,e20) = e24 ),
inference(component_clause,[status(thm)],[f1606]) ).
fof(f1610,definition,
( sQ160_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1611,plain,
( ~ sQ160_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f1610]) ).
fof(f1613,definition,
( sQ161_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1616,definition,
( sQ162_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1617,plain,
( ~ sQ162_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f1616]) ).
fof(f1619,definition,
( sQ163_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1620,plain,
( ~ sQ163_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f1619]) ).
fof(f1622,definition,
( sQ164_spl
<=> op2(e21,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1623,plain,
( ~ sQ164_spl
| op2(e21,e21) = e24 ),
inference(component_clause,[status(thm)],[f1622]) ).
fof(f1624,plain,
( sQ164_spl
| op2(e21,e21) != e24 ),
inference(component_clause,[status(thm)],[f1622]) ).
fof(f1626,definition,
( sQ165_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1627,plain,
( ~ sQ165_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f1626]) ).
fof(f1629,definition,
( sQ166_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1630,plain,
( ~ sQ166_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f1629]) ).
fof(f1632,definition,
( sQ167_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1633,plain,
( ~ sQ167_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f1632]) ).
fof(f1635,definition,
( sQ168_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1636,plain,
( ~ sQ168_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f1635]) ).
fof(f1638,definition,
( sQ169_spl
<=> op2(e21,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1639,plain,
( ~ sQ169_spl
| op2(e21,e22) = e24 ),
inference(component_clause,[status(thm)],[f1638]) ).
fof(f1641,plain,
( sQ169_spl
| sQ168_spl
| sQ167_spl
| sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f116,f1626,f1629,f1632,f1635,f1638]) ).
fof(f1642,definition,
( sQ170_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1643,plain,
( ~ sQ170_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f1642]) ).
fof(f1645,definition,
( sQ171_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1646,plain,
( ~ sQ171_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f1645]) ).
fof(f1648,definition,
( sQ172_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1649,plain,
( ~ sQ172_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f1648]) ).
fof(f1651,definition,
( sQ173_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1652,plain,
( ~ sQ173_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f1651]) ).
fof(f1654,definition,
( sQ174_spl
<=> op2(e21,e23) = e24 ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1655,plain,
( ~ sQ174_spl
| op2(e21,e23) = e24 ),
inference(component_clause,[status(thm)],[f1654]) ).
fof(f1657,plain,
( sQ174_spl
| sQ173_spl
| sQ172_spl
| sQ171_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f117,f1642,f1645,f1648,f1651,f1654]) ).
fof(f1658,definition,
( sQ175_spl
<=> op2(e21,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1659,plain,
( ~ sQ175_spl
| op2(e21,e24) = e20 ),
inference(component_clause,[status(thm)],[f1658]) ).
fof(f1661,definition,
( sQ176_spl
<=> op2(e21,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1662,plain,
( ~ sQ176_spl
| op2(e21,e24) = e21 ),
inference(component_clause,[status(thm)],[f1661]) ).
fof(f1664,definition,
( sQ177_spl
<=> op2(e21,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1667,definition,
( sQ178_spl
<=> op2(e21,e24) = e23 ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1668,plain,
( ~ sQ178_spl
| op2(e21,e24) = e23 ),
inference(component_clause,[status(thm)],[f1667]) ).
fof(f1670,definition,
( sQ179_spl
<=> op2(e21,e24) = e24 ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1671,plain,
( ~ sQ179_spl
| op2(e21,e24) = e24 ),
inference(component_clause,[status(thm)],[f1670]) ).
fof(f1673,plain,
( sQ179_spl
| sQ178_spl
| sQ177_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f118,f1658,f1661,f1664,f1667,f1670]) ).
fof(f1674,definition,
( sQ180_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1675,plain,
( ~ sQ180_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f1674]) ).
fof(f1677,definition,
( sQ181_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1678,plain,
( ~ sQ181_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f1677]) ).
fof(f1680,definition,
( sQ182_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1683,definition,
( sQ183_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1684,plain,
( ~ sQ183_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1686,definition,
( sQ184_spl
<=> op2(e22,e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1687,plain,
( ~ sQ184_spl
| op2(e22,e20) = e24 ),
inference(component_clause,[status(thm)],[f1686]) ).
fof(f1689,plain,
( sQ184_spl
| sQ183_spl
| sQ182_spl
| sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f119,f1674,f1677,f1680,f1683,f1686]) ).
fof(f1690,definition,
( sQ185_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1693,definition,
( sQ186_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1694,plain,
( ~ sQ186_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f1693]) ).
fof(f1696,definition,
( sQ187_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( ~ sQ187_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1699,definition,
( sQ188_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1700,plain,
( ~ sQ188_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f1699]) ).
fof(f1702,definition,
( sQ189_spl
<=> op2(e22,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1703,plain,
( ~ sQ189_spl
| op2(e22,e21) = e24 ),
inference(component_clause,[status(thm)],[f1702]) ).
fof(f1705,plain,
( sQ189_spl
| sQ188_spl
| sQ187_spl
| sQ186_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f120,f1690,f1693,f1696,f1699,f1702]) ).
fof(f1706,definition,
( sQ190_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1707,plain,
( ~ sQ190_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f1706]) ).
fof(f1709,definition,
( sQ191_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1710,plain,
( ~ sQ191_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f1709]) ).
fof(f1712,definition,
( sQ192_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1715,definition,
( sQ193_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1716,plain,
( ~ sQ193_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f1715]) ).
fof(f1718,definition,
( sQ194_spl
<=> op2(e22,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1719,plain,
( ~ sQ194_spl
| op2(e22,e22) = e24 ),
inference(component_clause,[status(thm)],[f1718]) ).
fof(f1722,definition,
( sQ195_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1723,plain,
( ~ sQ195_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f1722]) ).
fof(f1725,definition,
( sQ196_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1726,plain,
( ~ sQ196_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1728,definition,
( sQ197_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1729,plain,
( ~ sQ197_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f1728]) ).
fof(f1731,definition,
( sQ198_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1734,definition,
( sQ199_spl
<=> op2(e22,e23) = e24 ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1735,plain,
( ~ sQ199_spl
| op2(e22,e23) = e24 ),
inference(component_clause,[status(thm)],[f1734]) ).
fof(f1737,plain,
( sQ199_spl
| sQ198_spl
| sQ197_spl
| sQ196_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f122,f1722,f1725,f1728,f1731,f1734]) ).
fof(f1738,definition,
( sQ200_spl
<=> op2(e22,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1739,plain,
( ~ sQ200_spl
| op2(e22,e24) = e20 ),
inference(component_clause,[status(thm)],[f1738]) ).
fof(f1741,definition,
( sQ201_spl
<=> op2(e22,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1742,plain,
( ~ sQ201_spl
| op2(e22,e24) = e21 ),
inference(component_clause,[status(thm)],[f1741]) ).
fof(f1744,definition,
( sQ202_spl
<=> op2(e22,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1745,plain,
( ~ sQ202_spl
| op2(e22,e24) = e22 ),
inference(component_clause,[status(thm)],[f1744]) ).
fof(f1747,definition,
( sQ203_spl
<=> op2(e22,e24) = e23 ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1748,plain,
( ~ sQ203_spl
| op2(e22,e24) = e23 ),
inference(component_clause,[status(thm)],[f1747]) ).
fof(f1750,definition,
( sQ204_spl
<=> op2(e22,e24) = e24 ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1751,plain,
( ~ sQ204_spl
| op2(e22,e24) = e24 ),
inference(component_clause,[status(thm)],[f1750]) ).
fof(f1753,plain,
( sQ204_spl
| sQ203_spl
| sQ202_spl
| sQ201_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f123,f1738,f1741,f1744,f1747,f1750]) ).
fof(f1754,definition,
( sQ205_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1755,plain,
( ~ sQ205_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f1754]) ).
fof(f1757,definition,
( sQ206_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1758,plain,
( ~ sQ206_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f1757]) ).
fof(f1760,definition,
( sQ207_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1761,plain,
( ~ sQ207_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f1760]) ).
fof(f1763,definition,
( sQ208_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1766,definition,
( sQ209_spl
<=> op2(e23,e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1770,definition,
( sQ210_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1771,plain,
( ~ sQ210_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f1770]) ).
fof(f1773,definition,
( sQ211_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1774,plain,
( ~ sQ211_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f1773]) ).
fof(f1776,definition,
( sQ212_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1777,plain,
( ~ sQ212_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f1776]) ).
fof(f1779,definition,
( sQ213_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1780,plain,
( ~ sQ213_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f1779]) ).
fof(f1782,definition,
( sQ214_spl
<=> op2(e23,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1785,plain,
( sQ214_spl
| sQ213_spl
| sQ212_spl
| sQ211_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f125,f1770,f1773,f1776,f1779,f1782]) ).
fof(f1786,definition,
( sQ215_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1789,definition,
( sQ216_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1790,plain,
( ~ sQ216_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f1789]) ).
fof(f1792,definition,
( sQ217_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1793,plain,
( ~ sQ217_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f1792]) ).
fof(f1795,definition,
( sQ218_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1796,plain,
( ~ sQ218_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f1795]) ).
fof(f1798,definition,
( sQ219_spl
<=> op2(e23,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1799,plain,
( ~ sQ219_spl
| op2(e23,e22) = e24 ),
inference(component_clause,[status(thm)],[f1798]) ).
fof(f1801,plain,
( sQ219_spl
| sQ218_spl
| sQ217_spl
| sQ216_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f126,f1786,f1789,f1792,f1795,f1798]) ).
fof(f1802,definition,
( sQ220_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1803,plain,
( ~ sQ220_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f1802]) ).
fof(f1805,definition,
( sQ221_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1808,definition,
( sQ222_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1809,plain,
( ~ sQ222_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f1808]) ).
fof(f1811,definition,
( sQ223_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1812,plain,
( ~ sQ223_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f1811]) ).
fof(f1814,definition,
( sQ224_spl
<=> op2(e23,e23) = e24 ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1815,plain,
( ~ sQ224_spl
| op2(e23,e23) = e24 ),
inference(component_clause,[status(thm)],[f1814]) ).
fof(f1817,plain,
( sQ224_spl
| sQ223_spl
| sQ222_spl
| sQ221_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f127,f1802,f1805,f1808,f1811,f1814]) ).
fof(f1818,definition,
( sQ225_spl
<=> op2(e23,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1819,plain,
( ~ sQ225_spl
| op2(e23,e24) = e20 ),
inference(component_clause,[status(thm)],[f1818]) ).
fof(f1821,definition,
( sQ226_spl
<=> op2(e23,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1822,plain,
( ~ sQ226_spl
| op2(e23,e24) = e21 ),
inference(component_clause,[status(thm)],[f1821]) ).
fof(f1824,definition,
( sQ227_spl
<=> op2(e23,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1825,plain,
( ~ sQ227_spl
| op2(e23,e24) = e22 ),
inference(component_clause,[status(thm)],[f1824]) ).
fof(f1827,definition,
( sQ228_spl
<=> op2(e23,e24) = e23 ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1828,plain,
( ~ sQ228_spl
| op2(e23,e24) = e23 ),
inference(component_clause,[status(thm)],[f1827]) ).
fof(f1834,definition,
( sQ230_spl
<=> op2(e24,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1835,plain,
( ~ sQ230_spl
| op2(e24,e20) = e20 ),
inference(component_clause,[status(thm)],[f1834]) ).
fof(f1837,definition,
( sQ231_spl
<=> op2(e24,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1838,plain,
( ~ sQ231_spl
| op2(e24,e20) = e21 ),
inference(component_clause,[status(thm)],[f1837]) ).
fof(f1840,definition,
( sQ232_spl
<=> op2(e24,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1841,plain,
( ~ sQ232_spl
| op2(e24,e20) = e22 ),
inference(component_clause,[status(thm)],[f1840]) ).
fof(f1843,definition,
( sQ233_spl
<=> op2(e24,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1844,plain,
( ~ sQ233_spl
| op2(e24,e20) = e23 ),
inference(component_clause,[status(thm)],[f1843]) ).
fof(f1846,definition,
( sQ234_spl
<=> op2(e24,e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1847,plain,
( ~ sQ234_spl
| op2(e24,e20) = e24 ),
inference(component_clause,[status(thm)],[f1846]) ).
fof(f1850,definition,
( sQ235_spl
<=> op2(e24,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1851,plain,
( ~ sQ235_spl
| op2(e24,e21) = e20 ),
inference(component_clause,[status(thm)],[f1850]) ).
fof(f1853,definition,
( sQ236_spl
<=> op2(e24,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1854,plain,
( ~ sQ236_spl
| op2(e24,e21) = e21 ),
inference(component_clause,[status(thm)],[f1853]) ).
fof(f1856,definition,
( sQ237_spl
<=> op2(e24,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1857,plain,
( ~ sQ237_spl
| op2(e24,e21) = e22 ),
inference(component_clause,[status(thm)],[f1856]) ).
fof(f1859,definition,
( sQ238_spl
<=> op2(e24,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1860,plain,
( ~ sQ238_spl
| op2(e24,e21) = e23 ),
inference(component_clause,[status(thm)],[f1859]) ).
fof(f1862,definition,
( sQ239_spl
<=> op2(e24,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1863,plain,
( ~ sQ239_spl
| op2(e24,e21) = e24 ),
inference(component_clause,[status(thm)],[f1862]) ).
fof(f1865,plain,
( sQ239_spl
| sQ238_spl
| sQ237_spl
| sQ236_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f130,f1850,f1853,f1856,f1859,f1862]) ).
fof(f1866,definition,
( sQ240_spl
<=> op2(e24,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1867,plain,
( ~ sQ240_spl
| op2(e24,e22) = e20 ),
inference(component_clause,[status(thm)],[f1866]) ).
fof(f1869,definition,
( sQ241_spl
<=> op2(e24,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1870,plain,
( ~ sQ241_spl
| op2(e24,e22) = e21 ),
inference(component_clause,[status(thm)],[f1869]) ).
fof(f1872,definition,
( sQ242_spl
<=> op2(e24,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1873,plain,
( ~ sQ242_spl
| op2(e24,e22) = e22 ),
inference(component_clause,[status(thm)],[f1872]) ).
fof(f1875,definition,
( sQ243_spl
<=> op2(e24,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1876,plain,
( ~ sQ243_spl
| op2(e24,e22) = e23 ),
inference(component_clause,[status(thm)],[f1875]) ).
fof(f1878,definition,
( sQ244_spl
<=> op2(e24,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1881,plain,
( sQ244_spl
| sQ243_spl
| sQ242_spl
| sQ241_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f131,f1866,f1869,f1872,f1875,f1878]) ).
fof(f1882,definition,
( sQ245_spl
<=> op2(e24,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1883,plain,
( ~ sQ245_spl
| op2(e24,e23) = e20 ),
inference(component_clause,[status(thm)],[f1882]) ).
fof(f1885,definition,
( sQ246_spl
<=> op2(e24,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1886,plain,
( ~ sQ246_spl
| op2(e24,e23) = e21 ),
inference(component_clause,[status(thm)],[f1885]) ).
fof(f1888,definition,
( sQ247_spl
<=> op2(e24,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1891,definition,
( sQ248_spl
<=> op2(e24,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1892,plain,
( ~ sQ248_spl
| op2(e24,e23) = e23 ),
inference(component_clause,[status(thm)],[f1891]) ).
fof(f1894,definition,
( sQ249_spl
<=> op2(e24,e23) = e24 ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1895,plain,
( ~ sQ249_spl
| op2(e24,e23) = e24 ),
inference(component_clause,[status(thm)],[f1894]) ).
fof(f1897,plain,
( sQ249_spl
| sQ248_spl
| sQ247_spl
| sQ246_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f132,f1882,f1885,f1888,f1891,f1894]) ).
fof(f1898,definition,
( sQ250_spl
<=> op2(e24,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1899,plain,
( ~ sQ250_spl
| op2(e24,e24) = e20 ),
inference(component_clause,[status(thm)],[f1898]) ).
fof(f1901,definition,
( sQ251_spl
<=> op2(e24,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1902,plain,
( ~ sQ251_spl
| op2(e24,e24) = e21 ),
inference(component_clause,[status(thm)],[f1901]) ).
fof(f1904,definition,
( sQ252_spl
<=> op2(e24,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1905,plain,
( ~ sQ252_spl
| op2(e24,e24) = e22 ),
inference(component_clause,[status(thm)],[f1904]) ).
fof(f1907,definition,
( sQ253_spl
<=> op2(e24,e24) = e23 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f1908,plain,
( ~ sQ253_spl
| op2(e24,e24) = e23 ),
inference(component_clause,[status(thm)],[f1907]) ).
fof(f1909,plain,
( sQ253_spl
| op2(e24,e24) != e23 ),
inference(component_clause,[status(thm)],[f1907]) ).
fof(f1910,definition,
( sQ254_spl
<=> op2(e24,e24) = e24 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f1911,plain,
( ~ sQ254_spl
| op2(e24,e24) = e24 ),
inference(component_clause,[status(thm)],[f1910]) ).
fof(f1913,plain,
( sQ254_spl
| sQ253_spl
| sQ252_spl
| sQ251_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f133,f1898,f1901,f1904,f1907,f1910]) ).
fof(f1914,definition,
( sQ255_spl
<=> unit2 = e20 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f1915,plain,
( ~ sQ255_spl
| unit2 = e20 ),
inference(component_clause,[status(thm)],[f1914]) ).
fof(f1917,definition,
( sQ256_spl
<=> unit2 = e21 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f1918,plain,
( ~ sQ256_spl
| unit2 = e21 ),
inference(component_clause,[status(thm)],[f1917]) ).
fof(f1920,definition,
( sQ257_spl
<=> unit2 = e22 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f1921,plain,
( ~ sQ257_spl
| unit2 = e22 ),
inference(component_clause,[status(thm)],[f1920]) ).
fof(f1923,definition,
( sQ258_spl
<=> unit2 = e23 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f1924,plain,
( ~ sQ258_spl
| unit2 = e23 ),
inference(component_clause,[status(thm)],[f1923]) ).
fof(f1926,definition,
( sQ259_spl
<=> unit2 = e24 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f1927,plain,
( ~ sQ259_spl
| unit2 = e24 ),
inference(component_clause,[status(thm)],[f1926]) ).
fof(f1929,plain,
( sQ259_spl
| sQ258_spl
| sQ257_spl
| sQ256_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f144,f1914,f1917,f1920,f1923,f1926]) ).
fof(f1931,plain,
( sQ230_spl
| sQ205_spl
| sQ180_spl
| sQ155_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f146,f1514,f1594,f1674,f1754,f1834]) ).
fof(f1932,plain,
( sQ151_spl
| sQ146_spl
| sQ141_spl
| sQ136_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f147,f1517,f1533,f1549,f1565,f1581]) ).
fof(f1937,plain,
( sQ233_spl
| sQ208_spl
| sQ183_spl
| sQ158_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f152,f1523,f1603,f1683,f1763,f1843]) ).
fof(f1941,plain,
( sQ235_spl
| sQ210_spl
| sQ185_spl
| sQ160_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f156,f1530,f1610,f1690,f1770,f1850]) ).
fof(f1945,plain,
( sQ237_spl
| sQ212_spl
| sQ187_spl
| sQ162_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f160,f1536,f1616,f1696,f1776,f1856]) ).
fof(f1946,plain,
( sQ178_spl
| sQ173_spl
| sQ168_spl
| sQ163_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f161,f1603,f1619,f1635,f1651,f1667]) ).
fof(f1947,plain,
( sQ238_spl
| sQ213_spl
| sQ188_spl
| sQ163_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f162,f1539,f1619,f1699,f1779,f1859]) ).
fof(f1948,plain,
( sQ179_spl
| sQ174_spl
| sQ169_spl
| sQ164_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f163,f1606,f1622,f1638,f1654,f1670]) ).
fof(f1950,plain,
( sQ200_spl
| sQ195_spl
| sQ190_spl
| sQ185_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f165,f1674,f1690,f1706,f1722,f1738]) ).
fof(f1952,plain,
( sQ201_spl
| sQ196_spl
| sQ191_spl
| sQ186_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f167,f1677,f1693,f1709,f1725,f1741]) ).
fof(f1957,plain,
( sQ243_spl
| sQ218_spl
| sQ193_spl
| sQ168_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f172,f1555,f1635,f1715,f1795,f1875]) ).
fof(f1964,plain,
( sQ227_spl
| sQ222_spl
| sQ217_spl
| sQ212_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f179,f1760,f1776,f1792,f1808,f1824]) ).
fof(f1970,plain,
( sQ250_spl
| sQ245_spl
| sQ240_spl
| sQ235_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f185,f1834,f1850,f1866,f1882,f1898]) ).
fof(f1971,plain,
( sQ250_spl
| sQ225_spl
| sQ200_spl
| sQ175_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f186,f1578,f1658,f1738,f1818,f1898]) ).
fof(f1972,plain,
( sQ251_spl
| sQ246_spl
| sQ241_spl
| sQ236_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f187,f1837,f1853,f1869,f1885,f1901]) ).
fof(f1976,plain,
( sQ253_spl
| sQ248_spl
| sQ243_spl
| sQ238_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f191,f1843,f1859,f1875,f1891,f1907]) ).
fof(f1977,plain,
( sQ253_spl
| sQ228_spl
| sQ203_spl
| sQ178_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f192,f1587,f1667,f1747,f1827,f1907]) ).
fof(f1980,definition,
( sQ260_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f1983,definition,
( sQ261_spl
<=> op1(e14,e14) = op1(e14,e14) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f1985,plain,
( sQ261_spl
| op1(e14,e14) != op1(e14,e14) ),
inference(component_clause,[status(thm)],[f1983]) ).
fof(f1986,plain,
( ~ sQ261_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f442,f1980,f1983]) ).
fof(f1992,definition,
( sQ263_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f1995,definition,
( sQ264_spl
<=> op2(e24,e24) = op2(e24,e24) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f1997,plain,
( sQ264_spl
| op2(e24,e24) != op2(e24,e24) ),
inference(component_clause,[status(thm)],[f1995]) ).
fof(f1998,plain,
( ~ sQ264_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f447,f1992,f1995]) ).
fof(f2004,definition,
( sQ266_spl
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2006,plain,
( sQ266_spl
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f2004]) ).
fof(f2007,definition,
( sQ267_spl
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2009,plain,
( sQ267_spl
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(component_clause,[status(thm)],[f2007]) ).
fof(f2010,definition,
( sQ268_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2012,plain,
( sQ268_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f2010]) ).
fof(f2013,definition,
( sQ269_spl
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2015,plain,
( sQ269_spl
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f2013]) ).
fof(f2016,definition,
( sQ270_spl
<=> h1(op1(e10,e14)) = op2(h1(e10),h1(e14)) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2018,plain,
( sQ270_spl
| h1(op1(e10,e14)) != op2(h1(e10),h1(e14)) ),
inference(component_clause,[status(thm)],[f2016]) ).
fof(f2019,definition,
( sQ271_spl
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2021,plain,
( sQ271_spl
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f2019]) ).
fof(f2022,definition,
( sQ272_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2024,plain,
( sQ272_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f2022]) ).
fof(f2031,definition,
( sQ275_spl
<=> h1(op1(e11,e14)) = op2(h1(e11),h1(e14)) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2033,plain,
( sQ275_spl
| h1(op1(e11,e14)) != op2(h1(e11),h1(e14)) ),
inference(component_clause,[status(thm)],[f2031]) ).
fof(f2034,definition,
( sQ276_spl
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2036,plain,
( sQ276_spl
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f2034]) ).
fof(f2049,definition,
( sQ281_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2051,plain,
( sQ281_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f2049]) ).
fof(f2052,definition,
( sQ282_spl
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2054,plain,
( sQ282_spl
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f2052]) ).
fof(f2055,definition,
( sQ283_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2057,plain,
( sQ283_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f2055]) ).
fof(f2058,definition,
( sQ284_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2059,plain,
( ~ sQ284_spl
| h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f2058]) ).
fof(f2060,plain,
( sQ284_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f2058]) ).
fof(f2061,definition,
( sQ285_spl
<=> h1(op1(e13,e14)) = op2(h1(e13),h1(e14)) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2063,plain,
( sQ285_spl
| h1(op1(e13,e14)) != op2(h1(e13),h1(e14)) ),
inference(component_clause,[status(thm)],[f2061]) ).
fof(f2064,definition,
( sQ286_spl
<=> h1(op1(e14,e10)) = op2(h1(e14),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2066,plain,
( sQ286_spl
| h1(op1(e14,e10)) != op2(h1(e14),h1(e10)) ),
inference(component_clause,[status(thm)],[f2064]) ).
fof(f2067,definition,
( sQ287_spl
<=> h1(op1(e14,e11)) = op2(h1(e14),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2069,plain,
( sQ287_spl
| h1(op1(e14,e11)) != op2(h1(e14),h1(e11)) ),
inference(component_clause,[status(thm)],[f2067]) ).
fof(f2073,definition,
( sQ289_spl
<=> h1(op1(e14,e13)) = op2(h1(e14),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2075,plain,
( sQ289_spl
| h1(op1(e14,e13)) != op2(h1(e14),h1(e13)) ),
inference(component_clause,[status(thm)],[f2073]) ).
fof(f2079,definition,
( sQ291_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2095,definition,
( sQ296_spl
<=> h1(e11) = e24 ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2096,plain,
( ~ sQ296_spl
| h1(e11) = e24 ),
inference(component_clause,[status(thm)],[f2095]) ).
fof(f2159,definition,
( sQ316_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f2161,plain,
( sQ316_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f2159]) ).
fof(f2162,definition,
( sQ317_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f2163,plain,
( ~ sQ317_spl
| h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f2162]) ).
fof(f2164,plain,
( sQ317_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f2162]) ).
fof(f2165,definition,
( sQ318_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f2166,plain,
( ~ sQ318_spl
| h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f2165]) ).
fof(f2167,plain,
( sQ318_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f2165]) ).
fof(f2180,definition,
( sQ323_spl
<=> h2(op1(e14,e13)) = op2(h2(e14),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f2182,plain,
( sQ323_spl
| h2(op1(e14,e13)) != op2(h2(e14),h2(e13)) ),
inference(component_clause,[status(thm)],[f2180]) ).
fof(f2186,definition,
( sQ325_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f2189,definition,
( sQ326_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2192,definition,
( sQ327_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2195,definition,
( sQ328_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2202,definition,
( sQ330_spl
<=> h2(e11) = e24 ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f2203,plain,
( ~ sQ330_spl
| h2(e11) = e24 ),
inference(component_clause,[status(thm)],[f2202]) ).
fof(f2214,definition,
( sQ333_spl
<=> h2(e14) = e24 ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f2216,plain,
( sQ333_spl
| h2(e14) != e24 ),
inference(component_clause,[status(thm)],[f2214]) ).
fof(f2236,definition,
( sQ340_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f2238,plain,
( sQ340_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f2236]) ).
fof(f2239,definition,
( sQ341_spl
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f2241,plain,
( sQ341_spl
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f2239]) ).
fof(f2245,definition,
( sQ343_spl
<=> h3(op1(e11,e14)) = op2(h3(e11),h3(e14)) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f2247,plain,
( sQ343_spl
| h3(op1(e11,e14)) != op2(h3(e11),h3(e14)) ),
inference(component_clause,[status(thm)],[f2245]) ).
fof(f2257,definition,
( sQ347_spl
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f2259,plain,
( sQ347_spl
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(component_clause,[status(thm)],[f2257]) ).
fof(f2266,definition,
( sQ350_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f2268,plain,
( sQ350_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f2266]) ).
fof(f2272,definition,
( sQ352_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f2273,plain,
( ~ sQ352_spl
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f2272]) ).
fof(f2274,plain,
( sQ352_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f2272]) ).
fof(f2275,definition,
( sQ353_spl
<=> h3(op1(e13,e14)) = op2(h3(e13),h3(e14)) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f2277,plain,
( sQ353_spl
| h3(op1(e13,e14)) != op2(h3(e13),h3(e14)) ),
inference(component_clause,[status(thm)],[f2275]) ).
fof(f2287,definition,
( sQ357_spl
<=> h3(op1(e14,e13)) = op2(h3(e14),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f2289,plain,
( sQ357_spl
| h3(op1(e14,e13)) != op2(h3(e14),h3(e13)) ),
inference(component_clause,[status(thm)],[f2287]) ).
fof(f2296,definition,
( sQ360_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f2299,definition,
( sQ361_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f2302,definition,
( sQ362_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f2309,definition,
( sQ364_spl
<=> h3(e11) = e24 ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f2310,plain,
( ~ sQ364_spl
| h3(e11) = e24 ),
inference(component_clause,[status(thm)],[f2309]) ).
fof(f2325,definition,
( sQ368_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f2327,plain,
( sQ368_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f2325]) ).
fof(f2328,definition,
( sQ369_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f2330,plain,
( sQ369_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f2328]) ).
fof(f2331,definition,
( sQ370_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f2333,plain,
( sQ370_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f2331]) ).
fof(f2334,definition,
( sQ371_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f2336,plain,
( sQ371_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f2334]) ).
fof(f2337,definition,
( sQ372_spl
<=> h4(op1(e10,e14)) = op2(h4(e10),h4(e14)) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f2339,plain,
( sQ372_spl
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14)) ),
inference(component_clause,[status(thm)],[f2337]) ).
fof(f2340,definition,
( sQ373_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f2341,plain,
( ~ sQ373_spl
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f2340]) ).
fof(f2342,plain,
( sQ373_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f2340]) ).
fof(f2343,definition,
( sQ374_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f2345,plain,
( sQ374_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f2343]) ).
fof(f2346,definition,
( sQ375_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f2348,plain,
( sQ375_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f2346]) ).
fof(f2349,definition,
( sQ376_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f2351,plain,
( sQ376_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f2349]) ).
fof(f2352,definition,
( sQ377_spl
<=> h4(op1(e11,e14)) = op2(h4(e11),h4(e14)) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f2354,plain,
( sQ377_spl
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14)) ),
inference(component_clause,[status(thm)],[f2352]) ).
fof(f2355,definition,
( sQ378_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f2357,plain,
( sQ378_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f2355]) ).
fof(f2358,definition,
( sQ379_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f2359,plain,
( ~ sQ379_spl
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f2358]) ).
fof(f2360,plain,
( sQ379_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f2358]) ).
fof(f2361,definition,
( sQ380_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f2363,plain,
( sQ380_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f2361]) ).
fof(f2364,definition,
( sQ381_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f2366,plain,
( sQ381_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f2364]) ).
fof(f2367,definition,
( sQ382_spl
<=> h4(op1(e12,e14)) = op2(h4(e12),h4(e14)) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f2369,plain,
( sQ382_spl
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14)) ),
inference(component_clause,[status(thm)],[f2367]) ).
fof(f2370,definition,
( sQ383_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f2372,plain,
( sQ383_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f2370]) ).
fof(f2373,definition,
( sQ384_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f2375,plain,
( sQ384_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f2373]) ).
fof(f2376,definition,
( sQ385_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f2378,plain,
( sQ385_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f2376]) ).
fof(f2379,definition,
( sQ386_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f2381,plain,
( sQ386_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f2379]) ).
fof(f2382,definition,
( sQ387_spl
<=> h4(op1(e13,e14)) = op2(h4(e13),h4(e14)) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f2383,plain,
( ~ sQ387_spl
| h4(op1(e13,e14)) = op2(h4(e13),h4(e14)) ),
inference(component_clause,[status(thm)],[f2382]) ).
fof(f2384,plain,
( sQ387_spl
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14)) ),
inference(component_clause,[status(thm)],[f2382]) ).
fof(f2385,definition,
( sQ388_spl
<=> h4(op1(e14,e10)) = op2(h4(e14),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f2387,plain,
( sQ388_spl
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10)) ),
inference(component_clause,[status(thm)],[f2385]) ).
fof(f2388,definition,
( sQ389_spl
<=> h4(op1(e14,e11)) = op2(h4(e14),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f2390,plain,
( sQ389_spl
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11)) ),
inference(component_clause,[status(thm)],[f2388]) ).
fof(f2391,definition,
( sQ390_spl
<=> h4(op1(e14,e12)) = op2(h4(e14),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f2393,plain,
( sQ390_spl
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12)) ),
inference(component_clause,[status(thm)],[f2391]) ).
fof(f2394,definition,
( sQ391_spl
<=> h4(op1(e14,e13)) = op2(h4(e14),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f2396,plain,
( sQ391_spl
| h4(op1(e14,e13)) != op2(h4(e14),h4(e13)) ),
inference(component_clause,[status(thm)],[f2394]) ).
fof(f2397,definition,
( sQ392_spl
<=> h4(op1(e14,e14)) = op2(h4(e14),h4(e14)) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f2399,plain,
( sQ392_spl
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14)) ),
inference(component_clause,[status(thm)],[f2397]) ).
fof(f2400,definition,
( sQ393_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f2403,definition,
( sQ394_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f2406,definition,
( sQ395_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f2409,definition,
( sQ396_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f2420,definition,
( sQ399_spl
<=> h4(e12) = e24 ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f2421,plain,
( ~ sQ399_spl
| h4(e12) = e24 ),
inference(component_clause,[status(thm)],[f2420]) ).
fof(f2428,definition,
( sQ401_spl
<=> h4(e14) = e24 ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f2430,plain,
( sQ401_spl
| h4(e14) != e24 ),
inference(component_clause,[status(thm)],[f2428]) ).
fof(f2431,plain,
( ~ sQ401_spl
| sQ396_spl
| sQ395_spl
| sQ394_spl
| sQ393_spl
| ~ sQ392_spl
| ~ sQ391_spl
| ~ sQ390_spl
| ~ sQ389_spl
| ~ sQ388_spl
| ~ sQ387_spl
| ~ sQ386_spl
| ~ sQ385_spl
| ~ sQ384_spl
| ~ sQ383_spl
| ~ sQ382_spl
| ~ sQ381_spl
| ~ sQ380_spl
| ~ sQ379_spl
| ~ sQ378_spl
| ~ sQ377_spl
| ~ sQ376_spl
| ~ sQ375_spl
| ~ sQ374_spl
| ~ sQ373_spl
| ~ sQ372_spl
| ~ sQ371_spl
| ~ sQ370_spl
| ~ sQ369_spl
| ~ sQ368_spl ),
inference(split_clause,[status(thm)],[f524,f2325,f2328,f2331,f2334,f2337,f2340,f2343,f2346,f2349,f2352,f2355,f2358,f2361,f2364,f2367,f2370,f2373,f2376,f2379,f2382,f2385,f2388,f2391,f2394,f2397,f2400,f2403,f2406,f2409,f2428]) ).
fof(f2450,definition,
( sQ408_spl
<=> h5(op1(e11,e11)) = op2(h5(e11),h5(e11)) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f2452,plain,
( sQ408_spl
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11)) ),
inference(component_clause,[status(thm)],[f2450]) ).
fof(f2456,definition,
( sQ410_spl
<=> h5(op1(e11,e13)) = op2(h5(e11),h5(e13)) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f2458,plain,
( sQ410_spl
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13)) ),
inference(component_clause,[status(thm)],[f2456]) ).
fof(f2459,definition,
( sQ411_spl
<=> h5(op1(e11,e14)) = op2(h5(e11),h5(e14)) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f2461,plain,
( sQ411_spl
| h5(op1(e11,e14)) != op2(h5(e11),h5(e14)) ),
inference(component_clause,[status(thm)],[f2459]) ).
fof(f2471,definition,
( sQ415_spl
<=> h5(op1(e12,e13)) = op2(h5(e12),h5(e13)) ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f2473,plain,
( sQ415_spl
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13)) ),
inference(component_clause,[status(thm)],[f2471]) ).
fof(f2486,definition,
( sQ420_spl
<=> h5(op1(e13,e13)) = op2(h5(e13),h5(e13)) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f2487,plain,
( ~ sQ420_spl
| h5(op1(e13,e13)) = op2(h5(e13),h5(e13)) ),
inference(component_clause,[status(thm)],[f2486]) ).
fof(f2488,plain,
( sQ420_spl
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13)) ),
inference(component_clause,[status(thm)],[f2486]) ).
fof(f2501,definition,
( sQ425_spl
<=> h5(op1(e14,e13)) = op2(h5(e14),h5(e13)) ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f2503,plain,
( sQ425_spl
| h5(op1(e14,e13)) != op2(h5(e14),h5(e13)) ),
inference(component_clause,[status(thm)],[f2501]) ).
fof(f2507,definition,
( sQ427_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f2531,definition,
( sQ434_spl
<=> h5(e13) = e24 ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f2532,plain,
( ~ sQ434_spl
| h5(e13) = e24 ),
inference(component_clause,[status(thm)],[f2531]) ).
fof(f2533,plain,
( sQ434_spl
| h5(e13) != e24 ),
inference(component_clause,[status(thm)],[f2531]) ).
fof(f2539,definition,
( sQ436_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f2542,definition,
( sQ437_spl
<=> op1(e13,e14) = op1(e14,e13) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f2544,plain,
( sQ437_spl
| op1(e13,e14) != op1(e14,e13) ),
inference(component_clause,[status(thm)],[f2542]) ).
fof(f2545,plain,
( ~ sQ437_spl
| sQ436_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f533,f1980,f2539,f2542]) ).
fof(f2546,definition,
( sQ438_spl
<=> op1(op1(e14,e13),e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f2548,plain,
( sQ438_spl
| op1(op1(e14,e13),e13) != e14 ),
inference(component_clause,[status(thm)],[f2546]) ).
fof(f2556,definition,
( sQ440_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f2559,definition,
( sQ441_spl
<=> op2(e23,e24) = op2(e24,e23) ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f2561,plain,
( sQ441_spl
| op2(e23,e24) != op2(e24,e23) ),
inference(component_clause,[status(thm)],[f2559]) ).
fof(f2562,plain,
( ~ sQ441_spl
| sQ440_spl
| ~ sQ263_spl ),
inference(split_clause,[status(thm)],[f541,f1992,f2556,f2559]) ).
fof(f2563,definition,
( sQ442_spl
<=> op2(op2(e24,e23),e23) = e24 ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f2565,plain,
( sQ442_spl
| op2(op2(e24,e23),e23) != e24 ),
inference(component_clause,[status(thm)],[f2563]) ).
fof(f2567,definition,
( sQ443_spl
<=> op2(op2(e24,e23),e24) = e23 ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f2568,plain,
( ~ sQ443_spl
| op2(op2(e24,e23),e24) = e23 ),
inference(component_clause,[status(thm)],[f2567]) ).
fof(f2589,definition,
( sQ448_spl
<=> h1(e14) = e20 ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f2590,plain,
( ~ sQ448_spl
| h1(e14) = e20 ),
inference(component_clause,[status(thm)],[f2589]) ).
fof(f2591,plain,
( sQ448_spl
| h1(e14) != e20 ),
inference(component_clause,[status(thm)],[f2589]) ).
fof(f2592,plain,
( ~ sQ448_spl
| ~ sQ291_spl ),
inference(split_clause,[status(thm)],[f551,f2079,f2589]) ).
fof(f2594,definition,
( sQ449_spl
<=> h1(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f2595,plain,
( ~ sQ449_spl
| h1(e10) = e21 ),
inference(component_clause,[status(thm)],[f2594]) ).
fof(f2606,definition,
( sQ452_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f2607,plain,
( ~ sQ452_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f2606]) ).
fof(f2610,definition,
( sQ453_spl
<=> h1(e14) = e21 ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f2611,plain,
( ~ sQ453_spl
| h1(e14) = e21 ),
inference(component_clause,[status(thm)],[f2610]) ).
fof(f2615,definition,
( sQ454_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f2616,plain,
( ~ sQ454_spl
| h1(e10) = e22 ),
inference(component_clause,[status(thm)],[f2615]) ).
fof(f2619,definition,
( sQ455_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f2620,plain,
( ~ sQ455_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f2619]) ).
fof(f2623,definition,
( sQ456_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f2624,plain,
( ~ sQ456_spl
| h1(e12) = e22 ),
inference(component_clause,[status(thm)],[f2623]) ).
fof(f2627,definition,
( sQ457_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f2628,plain,
( ~ sQ457_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f2627]) ).
fof(f2648,definition,
( sQ462_spl
<=> h1(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f2649,plain,
( ~ sQ462_spl
| h1(e13) = e23 ),
inference(component_clause,[status(thm)],[f2648]) ).
fof(f2657,definition,
( sQ464_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).
fof(f2658,plain,
( ~ sQ464_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f2657]) ).
fof(f2659,plain,
( sQ464_spl
| h2(e10) != e20 ),
inference(component_clause,[status(thm)],[f2657]) ).
fof(f2660,plain,
( ~ sQ464_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f575,f2186,f2657]) ).
fof(f2661,definition,
( sQ465_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f2662,plain,
( ~ sQ465_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f2661]) ).
fof(f2665,definition,
( sQ466_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f2666,plain,
( ~ sQ466_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f2665]) ).
fof(f2669,definition,
( sQ467_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f2670,plain,
( ~ sQ467_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f2669]) ).
fof(f2678,definition,
( sQ469_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f2679,plain,
( ~ sQ469_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f2678]) ).
fof(f2690,definition,
( sQ472_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ472_spl])],[split_symbol_definition]) ).
fof(f2692,plain,
( sQ472_spl
| h2(e13) != e21 ),
inference(component_clause,[status(thm)],[f2690]) ).
fof(f2693,plain,
( ~ sQ472_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f585,f2189,f2690]) ).
fof(f2694,definition,
( sQ473_spl
<=> h2(e14) = e21 ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f2695,plain,
( ~ sQ473_spl
| h2(e14) = e21 ),
inference(component_clause,[status(thm)],[f2694]) ).
fof(f2699,definition,
( sQ474_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition]) ).
fof(f2700,plain,
( ~ sQ474_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f2699]) ).
fof(f2703,definition,
( sQ475_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition]) ).
fof(f2704,plain,
( ~ sQ475_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f2703]) ).
fof(f2705,plain,
( sQ475_spl
| h2(e11) != e22 ),
inference(component_clause,[status(thm)],[f2703]) ).
fof(f2706,plain,
( ~ sQ475_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f590,f2192,f2703]) ).
fof(f2707,definition,
( sQ476_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).
fof(f2708,plain,
( ~ sQ476_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f2707]) ).
fof(f2711,definition,
( sQ477_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition]) ).
fof(f2712,plain,
( ~ sQ477_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f2711]) ).
fof(f2720,definition,
( sQ479_spl
<=> h2(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).
fof(f2721,plain,
( ~ sQ479_spl
| h2(e10) = e23 ),
inference(component_clause,[status(thm)],[f2720]) ).
fof(f2724,definition,
( sQ480_spl
<=> h2(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ480_spl])],[split_symbol_definition]) ).
fof(f2725,plain,
( ~ sQ480_spl
| h2(e11) = e23 ),
inference(component_clause,[status(thm)],[f2724]) ).
fof(f2726,plain,
( sQ480_spl
| h2(e11) != e23 ),
inference(component_clause,[status(thm)],[f2724]) ).
fof(f2728,definition,
( sQ481_spl
<=> h2(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).
fof(f2729,plain,
( ~ sQ481_spl
| h2(e12) = e23 ),
inference(component_clause,[status(thm)],[f2728]) ).
fof(f2730,plain,
( sQ481_spl
| h2(e12) != e23 ),
inference(component_clause,[status(thm)],[f2728]) ).
fof(f2731,plain,
( ~ sQ481_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f598,f2195,f2728]) ).
fof(f2732,definition,
( sQ482_spl
<=> h2(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition]) ).
fof(f2733,plain,
( ~ sQ482_spl
| h2(e13) = e23 ),
inference(component_clause,[status(thm)],[f2732]) ).
fof(f2745,definition,
( sQ485_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).
fof(f2747,plain,
( sQ485_spl
| h3(e11) != e20 ),
inference(component_clause,[status(thm)],[f2745]) ).
fof(f2749,definition,
( sQ486_spl
<=> h3(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).
fof(f2750,plain,
( ~ sQ486_spl
| h3(e12) = e20 ),
inference(component_clause,[status(thm)],[f2749]) ).
fof(f2753,definition,
( sQ487_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition]) ).
fof(f2754,plain,
( ~ sQ487_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f2753]) ).
fof(f2766,definition,
( sQ490_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).
fof(f2767,plain,
( ~ sQ490_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f2766]) ).
fof(f2768,plain,
( sQ490_spl
| h3(e11) != e21 ),
inference(component_clause,[status(thm)],[f2766]) ).
fof(f2770,definition,
( sQ491_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ491_spl])],[split_symbol_definition]) ).
fof(f2771,plain,
( ~ sQ491_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f2770]) ).
fof(f2772,plain,
( sQ491_spl
| h3(e12) != e21 ),
inference(component_clause,[status(thm)],[f2770]) ).
fof(f2773,plain,
( ~ sQ491_spl
| ~ sQ360_spl ),
inference(split_clause,[status(thm)],[f612,f2296,f2770]) ).
fof(f2774,definition,
( sQ492_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ492_spl])],[split_symbol_definition]) ).
fof(f2775,plain,
( ~ sQ492_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f2774]) ).
fof(f2787,definition,
( sQ495_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ495_spl])],[split_symbol_definition]) ).
fof(f2788,plain,
( ~ sQ495_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f2787]) ).
fof(f2795,definition,
( sQ497_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).
fof(f2797,plain,
( sQ497_spl
| h3(e13) != e22 ),
inference(component_clause,[status(thm)],[f2795]) ).
fof(f2798,plain,
( ~ sQ497_spl
| ~ sQ361_spl ),
inference(split_clause,[status(thm)],[f620,f2299,f2795]) ).
fof(f2808,definition,
( sQ500_spl
<=> h3(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition]) ).
fof(f2809,plain,
( ~ sQ500_spl
| h3(e11) = e23 ),
inference(component_clause,[status(thm)],[f2808]) ).
fof(f2810,plain,
( sQ500_spl
| h3(e11) != e23 ),
inference(component_clause,[status(thm)],[f2808]) ).
fof(f2811,plain,
( ~ sQ500_spl
| ~ sQ362_spl ),
inference(split_clause,[status(thm)],[f625,f2302,f2808]) ).
fof(f2812,definition,
( sQ501_spl
<=> h3(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f2813,plain,
( ~ sQ501_spl
| h3(e12) = e23 ),
inference(component_clause,[status(thm)],[f2812]) ).
fof(f2816,definition,
( sQ502_spl
<=> h3(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f2817,plain,
( ~ sQ502_spl
| h3(e13) = e23 ),
inference(component_clause,[status(thm)],[f2816]) ).
fof(f2825,definition,
( sQ504_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition]) ).
fof(f2826,plain,
( ~ sQ504_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f2825]) ).
fof(f2827,plain,
( sQ504_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f2825]) ).
fof(f2828,plain,
( ~ sQ504_spl
| ~ sQ393_spl ),
inference(split_clause,[status(thm)],[f631,f2400,f2825]) ).
fof(f2829,definition,
( sQ505_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ505_spl])],[split_symbol_definition]) ).
fof(f2830,plain,
( ~ sQ505_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f2829]) ).
fof(f2833,definition,
( sQ506_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ506_spl])],[split_symbol_definition]) ).
fof(f2834,plain,
( ~ sQ506_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f2833]) ).
fof(f2837,definition,
( sQ507_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ507_spl])],[split_symbol_definition]) ).
fof(f2838,plain,
( ~ sQ507_spl
| h4(e13) = e20 ),
inference(component_clause,[status(thm)],[f2837]) ).
fof(f2846,definition,
( sQ509_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f2847,plain,
( ~ sQ509_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f2846]) ).
fof(f2850,definition,
( sQ510_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f2851,plain,
( ~ sQ510_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f2850]) ).
fof(f2852,plain,
( sQ510_spl
| h4(e11) != e21 ),
inference(component_clause,[status(thm)],[f2850]) ).
fof(f2853,plain,
( ~ sQ510_spl
| ~ sQ394_spl ),
inference(split_clause,[status(thm)],[f639,f2403,f2850]) ).
fof(f2858,definition,
( sQ512_spl
<=> h4(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f2859,plain,
( ~ sQ512_spl
| h4(e13) = e21 ),
inference(component_clause,[status(thm)],[f2858]) ).
fof(f2867,definition,
( sQ514_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f2868,plain,
( ~ sQ514_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f2867]) ).
fof(f2875,definition,
( sQ516_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ516_spl])],[split_symbol_definition]) ).
fof(f2876,plain,
( ~ sQ516_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f2875]) ).
fof(f2877,plain,
( sQ516_spl
| h4(e12) != e22 ),
inference(component_clause,[status(thm)],[f2875]) ).
fof(f2878,plain,
( ~ sQ516_spl
| ~ sQ395_spl ),
inference(split_clause,[status(thm)],[f647,f2406,f2875]) ).
fof(f2879,definition,
( sQ517_spl
<=> h4(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ517_spl])],[split_symbol_definition]) ).
fof(f2880,plain,
( ~ sQ517_spl
| h4(e13) = e22 ),
inference(component_clause,[status(thm)],[f2879]) ).
fof(f2892,definition,
( sQ520_spl
<=> h4(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ520_spl])],[split_symbol_definition]) ).
fof(f2893,plain,
( ~ sQ520_spl
| h4(e11) = e23 ),
inference(component_clause,[status(thm)],[f2892]) ).
fof(f2896,definition,
( sQ521_spl
<=> h4(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ521_spl])],[split_symbol_definition]) ).
fof(f2897,plain,
( ~ sQ521_spl
| h4(e12) = e23 ),
inference(component_clause,[status(thm)],[f2896]) ).
fof(f2900,definition,
( sQ522_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f2902,plain,
( sQ522_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f2900]) ).
fof(f2903,plain,
( ~ sQ522_spl
| ~ sQ396_spl ),
inference(split_clause,[status(thm)],[f655,f2409,f2900]) ).
fof(f2904,definition,
( sQ523_spl
<=> h4(e14) = e23 ),
introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).
fof(f2905,plain,
( ~ sQ523_spl
| h4(e14) = e23 ),
inference(component_clause,[status(thm)],[f2904]) ).
fof(f2913,definition,
( sQ525_spl
<=> h5(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ525_spl])],[split_symbol_definition]) ).
fof(f2914,plain,
( ~ sQ525_spl
| h5(e11) = e20 ),
inference(component_clause,[status(thm)],[f2913]) ).
fof(f2915,plain,
( sQ525_spl
| h5(e11) != e20 ),
inference(component_clause,[status(thm)],[f2913]) ).
fof(f2916,plain,
( ~ sQ525_spl
| ~ sQ427_spl ),
inference(split_clause,[status(thm)],[f660,f2507,f2913]) ).
fof(f2921,definition,
( sQ527_spl
<=> h5(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ527_spl])],[split_symbol_definition]) ).
fof(f2922,plain,
( ~ sQ527_spl
| h5(e13) = e20 ),
inference(component_clause,[status(thm)],[f2921]) ).
fof(f2934,definition,
( sQ530_spl
<=> h5(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ530_spl])],[split_symbol_definition]) ).
fof(f2935,plain,
( ~ sQ530_spl
| h5(e11) = e21 ),
inference(component_clause,[status(thm)],[f2934]) ).
fof(f2936,plain,
( sQ530_spl
| h5(e11) != e21 ),
inference(component_clause,[status(thm)],[f2934]) ).
fof(f2938,definition,
( sQ531_spl
<=> h5(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ531_spl])],[split_symbol_definition]) ).
fof(f2939,plain,
( ~ sQ531_spl
| h5(e12) = e21 ),
inference(component_clause,[status(thm)],[f2938]) ).
fof(f2942,definition,
( sQ532_spl
<=> h5(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ532_spl])],[split_symbol_definition]) ).
fof(f2943,plain,
( ~ sQ532_spl
| h5(e13) = e21 ),
inference(component_clause,[status(thm)],[f2942]) ).
fof(f2955,definition,
( sQ535_spl
<=> h5(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ535_spl])],[split_symbol_definition]) ).
fof(f2957,plain,
( sQ535_spl
| h5(e11) != e22 ),
inference(component_clause,[status(thm)],[f2955]) ).
fof(f2963,definition,
( sQ537_spl
<=> h5(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f2964,plain,
( ~ sQ537_spl
| h5(e13) = e22 ),
inference(component_clause,[status(thm)],[f2963]) ).
fof(f2976,definition,
( sQ540_spl
<=> h5(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f2977,plain,
( ~ sQ540_spl
| h5(e11) = e23 ),
inference(component_clause,[status(thm)],[f2976]) ).
fof(f2978,plain,
( sQ540_spl
| h5(e11) != e23 ),
inference(component_clause,[status(thm)],[f2976]) ).
fof(f2984,definition,
( sQ542_spl
<=> h5(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition]) ).
fof(f2985,plain,
( ~ sQ542_spl
| h5(e13) = e23 ),
inference(component_clause,[status(thm)],[f2984]) ).
fof(f2993,definition,
( sQ544_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f2996,definition,
( sQ545_spl
<=> op1(e12,e14) = op1(e14,e12) ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f2997,plain,
( ~ sQ545_spl
| op1(e12,e14) = op1(e14,e12) ),
inference(component_clause,[status(thm)],[f2996]) ).
fof(f2998,plain,
( sQ545_spl
| op1(e12,e14) != op1(e14,e12) ),
inference(component_clause,[status(thm)],[f2996]) ).
fof(f2999,plain,
( ~ sQ545_spl
| sQ544_spl
| ~ sQ436_spl ),
inference(split_clause,[status(thm)],[f689,f2539,f2993,f2996]) ).
fof(f3000,definition,
( sQ546_spl
<=> op1(op1(e14,e12),e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).
fof(f3001,plain,
( ~ sQ546_spl
| op1(op1(e14,e12),e12) = e14 ),
inference(component_clause,[status(thm)],[f3000]) ).
fof(f3003,plain,
( sQ546_spl
| sQ544_spl
| ~ sQ436_spl ),
inference(split_clause,[status(thm)],[f690,f2539,f2993,f3000]) ).
fof(f3010,definition,
( sQ548_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f3013,definition,
( sQ549_spl
<=> op2(e22,e24) = op2(e24,e22) ),
introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).
fof(f3015,plain,
( sQ549_spl
| op2(e22,e24) != op2(e24,e22) ),
inference(component_clause,[status(thm)],[f3013]) ).
fof(f3016,plain,
( ~ sQ549_spl
| sQ548_spl
| ~ sQ440_spl ),
inference(split_clause,[status(thm)],[f697,f2556,f3010,f3013]) ).
fof(f3017,definition,
( sQ550_spl
<=> op2(op2(e24,e22),e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).
fof(f3018,plain,
( ~ sQ550_spl
| op2(op2(e24,e22),e22) = e24 ),
inference(component_clause,[status(thm)],[f3017]) ).
fof(f3020,plain,
( sQ550_spl
| sQ548_spl
| ~ sQ440_spl ),
inference(split_clause,[status(thm)],[f698,f2556,f3010,f3017]) ).
fof(f3021,definition,
( sQ551_spl
<=> op2(op2(e24,e22),e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).
fof(f3022,plain,
( ~ sQ551_spl
| op2(op2(e24,e22),e24) = e22 ),
inference(component_clause,[status(thm)],[f3021]) ).
fof(f3027,definition,
( sQ552_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition]) ).
fof(f3030,definition,
( sQ553_spl
<=> op1(e11,e14) = op1(e14,e11) ),
introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).
fof(f3032,plain,
( sQ553_spl
| op1(e11,e14) != op1(e14,e11) ),
inference(component_clause,[status(thm)],[f3030]) ).
fof(f3033,plain,
( ~ sQ553_spl
| sQ552_spl
| ~ sQ544_spl ),
inference(split_clause,[status(thm)],[f705,f2993,f3027,f3030]) ).
fof(f3034,definition,
( sQ554_spl
<=> op1(op1(e14,e11),e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f3035,plain,
( ~ sQ554_spl
| op1(op1(e14,e11),e11) = e14 ),
inference(component_clause,[status(thm)],[f3034]) ).
fof(f3037,plain,
( sQ554_spl
| sQ552_spl
| ~ sQ544_spl ),
inference(split_clause,[status(thm)],[f706,f2993,f3027,f3034]) ).
fof(f3044,definition,
( sQ556_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ556_spl])],[split_symbol_definition]) ).
fof(f3047,definition,
( sQ557_spl
<=> op2(e21,e24) = op2(e24,e21) ),
introduced(definition,[new_symbols(definition,[sQ557_spl])],[split_symbol_definition]) ).
fof(f3049,plain,
( sQ557_spl
| op2(e21,e24) != op2(e24,e21) ),
inference(component_clause,[status(thm)],[f3047]) ).
fof(f3050,plain,
( ~ sQ557_spl
| sQ556_spl
| ~ sQ548_spl ),
inference(split_clause,[status(thm)],[f713,f3010,f3044,f3047]) ).
fof(f3051,definition,
( sQ558_spl
<=> op2(op2(e24,e21),e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ558_spl])],[split_symbol_definition]) ).
fof(f3052,plain,
( ~ sQ558_spl
| op2(op2(e24,e21),e21) = e24 ),
inference(component_clause,[status(thm)],[f3051]) ).
fof(f3054,plain,
( sQ558_spl
| sQ556_spl
| ~ sQ548_spl ),
inference(split_clause,[status(thm)],[f714,f3010,f3044,f3051]) ).
fof(f3059,plain,
( ~ sQ556_spl
| sQ548_spl ),
inference(split_clause,[status(thm)],[f716,f3010,f3044]) ).
fof(f3061,definition,
( sQ560_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ560_spl])],[split_symbol_definition]) ).
fof(f3064,definition,
( sQ561_spl
<=> op1(e10,e14) = op1(e14,e10) ),
introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition]) ).
fof(f3066,plain,
( sQ561_spl
| op1(e10,e14) != op1(e14,e10) ),
inference(component_clause,[status(thm)],[f3064]) ).
fof(f3067,plain,
( ~ sQ561_spl
| sQ560_spl
| ~ sQ552_spl ),
inference(split_clause,[status(thm)],[f721,f3027,f3061,f3064]) ).
fof(f3072,definition,
( sQ563_spl
<=> op1(op1(e14,e10),e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ563_spl])],[split_symbol_definition]) ).
fof(f3073,plain,
( ~ sQ563_spl
| op1(op1(e14,e10),e14) = e10 ),
inference(component_clause,[status(thm)],[f3072]) ).
fof(f3078,definition,
( sQ564_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ564_spl])],[split_symbol_definition]) ).
fof(f3081,definition,
( sQ565_spl
<=> op2(e20,e24) = op2(e24,e20) ),
introduced(definition,[new_symbols(definition,[sQ565_spl])],[split_symbol_definition]) ).
fof(f3082,plain,
( ~ sQ565_spl
| op2(e20,e24) = op2(e24,e20) ),
inference(component_clause,[status(thm)],[f3081]) ).
fof(f3083,plain,
( sQ565_spl
| op2(e20,e24) != op2(e24,e20) ),
inference(component_clause,[status(thm)],[f3081]) ).
fof(f3084,plain,
( ~ sQ565_spl
| sQ564_spl
| ~ sQ556_spl ),
inference(split_clause,[status(thm)],[f729,f3044,f3078,f3081]) ).
fof(f3089,definition,
( sQ567_spl
<=> op2(op2(e24,e20),e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ567_spl])],[split_symbol_definition]) ).
fof(f3090,plain,
( ~ sQ567_spl
| op2(op2(e24,e20),e24) = e20 ),
inference(component_clause,[status(thm)],[f3089]) ).
fof(f3091,plain,
( sQ567_spl
| op2(op2(e24,e20),e24) != e20 ),
inference(component_clause,[status(thm)],[f3089]) ).
fof(f3093,plain,
( ~ sQ564_spl
| sQ556_spl ),
inference(split_clause,[status(thm)],[f732,f3044,f3078]) ).
fof(f3095,definition,
( sQ568_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition]) ).
fof(f3098,plain,
( ~ sQ437_spl
| sQ568_spl
| ~ sQ560_spl ),
inference(split_clause,[status(thm)],[f737,f3061,f3095,f2542]) ).
fof(f3109,definition,
( sQ571_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ571_spl])],[split_symbol_definition]) ).
fof(f3112,plain,
( ~ sQ441_spl
| sQ571_spl
| ~ sQ564_spl ),
inference(split_clause,[status(thm)],[f745,f3078,f3109,f2559]) ).
fof(f3121,plain,
( ~ sQ571_spl
| sQ564_spl ),
inference(split_clause,[status(thm)],[f748,f3078,f3109]) ).
fof(f3123,definition,
( sQ574_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ574_spl])],[split_symbol_definition]) ).
fof(f3126,definition,
( sQ575_spl
<=> op1(e13,e13) = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[sQ575_spl])],[split_symbol_definition]) ).
fof(f3128,plain,
( sQ575_spl
| op1(e13,e13) != op1(e13,e13) ),
inference(component_clause,[status(thm)],[f3126]) ).
fof(f3129,plain,
( ~ sQ575_spl
| sQ574_spl
| ~ sQ568_spl ),
inference(split_clause,[status(thm)],[f753,f3095,f3123,f3126]) ).
fof(f3130,definition,
( sQ576_spl
<=> op1(op1(e13,e13),e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ576_spl])],[split_symbol_definition]) ).
fof(f3131,plain,
( ~ sQ576_spl
| op1(op1(e13,e13),e13) = e13 ),
inference(component_clause,[status(thm)],[f3130]) ).
fof(f3137,definition,
( sQ577_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ577_spl])],[split_symbol_definition]) ).
fof(f3140,definition,
( sQ578_spl
<=> op2(e23,e23) = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition]) ).
fof(f3142,plain,
( sQ578_spl
| op2(e23,e23) != op2(e23,e23) ),
inference(component_clause,[status(thm)],[f3140]) ).
fof(f3143,plain,
( ~ sQ578_spl
| sQ577_spl
| ~ sQ571_spl ),
inference(split_clause,[status(thm)],[f761,f3109,f3137,f3140]) ).
fof(f3144,definition,
( sQ579_spl
<=> op2(op2(e23,e23),e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ579_spl])],[split_symbol_definition]) ).
fof(f3145,plain,
( ~ sQ579_spl
| op2(op2(e23,e23),e23) = e23 ),
inference(component_clause,[status(thm)],[f3144]) ).
fof(f3149,plain,
( ~ sQ577_spl
| sQ571_spl ),
inference(split_clause,[status(thm)],[f764,f3109,f3137]) ).
fof(f3151,definition,
( sQ580_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ580_spl])],[split_symbol_definition]) ).
fof(f3154,definition,
( sQ581_spl
<=> op1(e12,e13) = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[sQ581_spl])],[split_symbol_definition]) ).
fof(f3155,plain,
( ~ sQ581_spl
| op1(e12,e13) = op1(e13,e12) ),
inference(component_clause,[status(thm)],[f3154]) ).
fof(f3156,plain,
( sQ581_spl
| op1(e12,e13) != op1(e13,e12) ),
inference(component_clause,[status(thm)],[f3154]) ).
fof(f3158,definition,
( sQ582_spl
<=> op1(op1(e13,e12),e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ582_spl])],[split_symbol_definition]) ).
fof(f3159,plain,
( ~ sQ582_spl
| op1(op1(e13,e12),e12) = e13 ),
inference(component_clause,[status(thm)],[f3158]) ).
fof(f3161,plain,
( sQ582_spl
| sQ580_spl
| ~ sQ574_spl ),
inference(split_clause,[status(thm)],[f770,f3123,f3151,f3158]) ).
fof(f3162,definition,
( sQ583_spl
<=> op1(op1(e13,e12),e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ583_spl])],[split_symbol_definition]) ).
fof(f3163,plain,
( ~ sQ583_spl
| op1(op1(e13,e12),e13) = e12 ),
inference(component_clause,[status(thm)],[f3162]) ).
fof(f3168,definition,
( sQ584_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ584_spl])],[split_symbol_definition]) ).
fof(f3171,definition,
( sQ585_spl
<=> op2(e22,e23) = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[sQ585_spl])],[split_symbol_definition]) ).
fof(f3172,plain,
( ~ sQ585_spl
| op2(e22,e23) = op2(e23,e22) ),
inference(component_clause,[status(thm)],[f3171]) ).
fof(f3173,plain,
( sQ585_spl
| op2(e22,e23) != op2(e23,e22) ),
inference(component_clause,[status(thm)],[f3171]) ).
fof(f3175,definition,
( sQ586_spl
<=> op2(op2(e23,e22),e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ586_spl])],[split_symbol_definition]) ).
fof(f3176,plain,
( ~ sQ586_spl
| op2(op2(e23,e22),e22) = e23 ),
inference(component_clause,[status(thm)],[f3175]) ).
fof(f3178,plain,
( sQ586_spl
| sQ584_spl
| ~ sQ577_spl ),
inference(split_clause,[status(thm)],[f778,f3137,f3168,f3175]) ).
fof(f3183,plain,
( ~ sQ584_spl
| sQ577_spl ),
inference(split_clause,[status(thm)],[f780,f3137,f3168]) ).
fof(f3185,definition,
( sQ588_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ588_spl])],[split_symbol_definition]) ).
fof(f3188,definition,
( sQ589_spl
<=> op1(e11,e13) = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[sQ589_spl])],[split_symbol_definition]) ).
fof(f3189,plain,
( ~ sQ589_spl
| op1(e11,e13) = op1(e13,e11) ),
inference(component_clause,[status(thm)],[f3188]) ).
fof(f3190,plain,
( sQ589_spl
| op1(e11,e13) != op1(e13,e11) ),
inference(component_clause,[status(thm)],[f3188]) ).
fof(f3192,definition,
( sQ590_spl
<=> op1(op1(e13,e11),e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ590_spl])],[split_symbol_definition]) ).
fof(f3193,plain,
( ~ sQ590_spl
| op1(op1(e13,e11),e11) = e13 ),
inference(component_clause,[status(thm)],[f3192]) ).
fof(f3194,plain,
( sQ590_spl
| op1(op1(e13,e11),e11) != e13 ),
inference(component_clause,[status(thm)],[f3192]) ).
fof(f3195,plain,
( sQ590_spl
| sQ588_spl
| ~ sQ580_spl ),
inference(split_clause,[status(thm)],[f786,f3151,f3185,f3192]) ).
fof(f3196,definition,
( sQ591_spl
<=> op1(op1(e13,e11),e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ591_spl])],[split_symbol_definition]) ).
fof(f3197,plain,
( ~ sQ591_spl
| op1(op1(e13,e11),e13) = e11 ),
inference(component_clause,[status(thm)],[f3196]) ).
fof(f3202,definition,
( sQ592_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ592_spl])],[split_symbol_definition]) ).
fof(f3205,definition,
( sQ593_spl
<=> op2(e21,e23) = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[sQ593_spl])],[split_symbol_definition]) ).
fof(f3206,plain,
( ~ sQ593_spl
| op2(e21,e23) = op2(e23,e21) ),
inference(component_clause,[status(thm)],[f3205]) ).
fof(f3207,plain,
( sQ593_spl
| op2(e21,e23) != op2(e23,e21) ),
inference(component_clause,[status(thm)],[f3205]) ).
fof(f3208,plain,
( ~ sQ593_spl
| sQ592_spl
| ~ sQ584_spl ),
inference(split_clause,[status(thm)],[f793,f3168,f3202,f3205]) ).
fof(f3209,definition,
( sQ594_spl
<=> op2(op2(e23,e21),e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ594_spl])],[split_symbol_definition]) ).
fof(f3210,plain,
( ~ sQ594_spl
| op2(op2(e23,e21),e21) = e23 ),
inference(component_clause,[status(thm)],[f3209]) ).
fof(f3211,plain,
( sQ594_spl
| op2(op2(e23,e21),e21) != e23 ),
inference(component_clause,[status(thm)],[f3209]) ).
fof(f3212,plain,
( sQ594_spl
| sQ592_spl
| ~ sQ584_spl ),
inference(split_clause,[status(thm)],[f794,f3168,f3202,f3209]) ).
fof(f3213,definition,
( sQ595_spl
<=> op2(op2(e23,e21),e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).
fof(f3214,plain,
( ~ sQ595_spl
| op2(op2(e23,e21),e23) = e21 ),
inference(component_clause,[status(thm)],[f3213]) ).
fof(f3217,plain,
( ~ sQ592_spl
| sQ584_spl ),
inference(split_clause,[status(thm)],[f796,f3168,f3202]) ).
fof(f3218,plain,
( sQ595_spl
| ~ sQ594_spl
| sQ593_spl
| sQ584_spl ),
inference(split_clause,[status(thm)],[f797,f3168,f3205,f3209,f3213]) ).
fof(f3219,definition,
( sQ596_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ596_spl])],[split_symbol_definition]) ).
fof(f3222,definition,
( sQ597_spl
<=> op1(e10,e13) = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[sQ597_spl])],[split_symbol_definition]) ).
fof(f3223,plain,
( ~ sQ597_spl
| op1(e10,e13) = op1(e13,e10) ),
inference(component_clause,[status(thm)],[f3222]) ).
fof(f3224,plain,
( sQ597_spl
| op1(e10,e13) != op1(e13,e10) ),
inference(component_clause,[status(thm)],[f3222]) ).
fof(f3225,plain,
( ~ sQ597_spl
| sQ596_spl
| ~ sQ588_spl ),
inference(split_clause,[status(thm)],[f801,f3185,f3219,f3222]) ).
fof(f3226,definition,
( sQ598_spl
<=> op1(op1(e13,e10),e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ598_spl])],[split_symbol_definition]) ).
fof(f3228,plain,
( sQ598_spl
| op1(op1(e13,e10),e10) != e13 ),
inference(component_clause,[status(thm)],[f3226]) ).
fof(f3230,definition,
( sQ599_spl
<=> op1(op1(e13,e10),e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ599_spl])],[split_symbol_definition]) ).
fof(f3231,plain,
( ~ sQ599_spl
| op1(op1(e13,e10),e13) = e10 ),
inference(component_clause,[status(thm)],[f3230]) ).
fof(f3236,definition,
( sQ600_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ600_spl])],[split_symbol_definition]) ).
fof(f3239,definition,
( sQ601_spl
<=> op2(e20,e23) = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[sQ601_spl])],[split_symbol_definition]) ).
fof(f3240,plain,
( ~ sQ601_spl
| op2(e20,e23) = op2(e23,e20) ),
inference(component_clause,[status(thm)],[f3239]) ).
fof(f3241,plain,
( sQ601_spl
| op2(e20,e23) != op2(e23,e20) ),
inference(component_clause,[status(thm)],[f3239]) ).
fof(f3242,plain,
( ~ sQ601_spl
| sQ600_spl
| ~ sQ592_spl ),
inference(split_clause,[status(thm)],[f809,f3202,f3236,f3239]) ).
fof(f3247,definition,
( sQ603_spl
<=> op2(op2(e23,e20),e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ603_spl])],[split_symbol_definition]) ).
fof(f3248,plain,
( ~ sQ603_spl
| op2(op2(e23,e20),e23) = e20 ),
inference(component_clause,[status(thm)],[f3247]) ).
fof(f3251,plain,
( ~ sQ600_spl
| sQ592_spl ),
inference(split_clause,[status(thm)],[f812,f3202,f3236]) ).
fof(f3253,definition,
( sQ604_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ604_spl])],[split_symbol_definition]) ).
fof(f3256,plain,
( ~ sQ545_spl
| sQ604_spl
| ~ sQ596_spl ),
inference(split_clause,[status(thm)],[f817,f3219,f3253,f2996]) ).
fof(f3257,definition,
( sQ605_spl
<=> op1(op1(e12,e14),e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ605_spl])],[split_symbol_definition]) ).
fof(f3258,plain,
( ~ sQ605_spl
| op1(op1(e12,e14),e14) = e12 ),
inference(component_clause,[status(thm)],[f3257]) ).
fof(f3260,plain,
( sQ605_spl
| sQ604_spl
| ~ sQ596_spl ),
inference(split_clause,[status(thm)],[f818,f3219,f3253,f3257]) ).
fof(f3267,definition,
( sQ607_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ607_spl])],[split_symbol_definition]) ).
fof(f3270,plain,
( ~ sQ549_spl
| sQ607_spl
| ~ sQ600_spl ),
inference(split_clause,[status(thm)],[f825,f3236,f3267,f3013]) ).
fof(f3271,definition,
( sQ608_spl
<=> op2(op2(e22,e24),e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ608_spl])],[split_symbol_definition]) ).
fof(f3272,plain,
( ~ sQ608_spl
| op2(op2(e22,e24),e24) = e22 ),
inference(component_clause,[status(thm)],[f3271]) ).
fof(f3274,plain,
( sQ608_spl
| sQ607_spl
| ~ sQ600_spl ),
inference(split_clause,[status(thm)],[f826,f3236,f3267,f3271]) ).
fof(f3275,definition,
( sQ609_spl
<=> op2(op2(e22,e24),e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ609_spl])],[split_symbol_definition]) ).
fof(f3277,plain,
( sQ609_spl
| op2(op2(e22,e24),e22) != e24 ),
inference(component_clause,[status(thm)],[f3275]) ).
fof(f3279,plain,
( ~ sQ607_spl
| sQ600_spl ),
inference(split_clause,[status(thm)],[f828,f3236,f3267]) ).
fof(f3281,definition,
( sQ610_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ610_spl])],[split_symbol_definition]) ).
fof(f3284,plain,
( ~ sQ581_spl
| sQ610_spl
| ~ sQ604_spl ),
inference(split_clause,[status(thm)],[f833,f3253,f3281,f3154]) ).
fof(f3285,definition,
( sQ611_spl
<=> op1(op1(e12,e13),e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ611_spl])],[split_symbol_definition]) ).
fof(f3287,plain,
( sQ611_spl
| op1(op1(e12,e13),e13) != e12 ),
inference(component_clause,[status(thm)],[f3285]) ).
fof(f3289,definition,
( sQ612_spl
<=> op1(op1(e12,e13),e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ612_spl])],[split_symbol_definition]) ).
fof(f3290,plain,
( ~ sQ612_spl
| op1(op1(e12,e13),e12) = e13 ),
inference(component_clause,[status(thm)],[f3289]) ).
fof(f3291,plain,
( sQ612_spl
| op1(op1(e12,e13),e12) != e13 ),
inference(component_clause,[status(thm)],[f3289]) ).
fof(f3292,plain,
( ~ sQ612_spl
| sQ610_spl
| ~ sQ604_spl ),
inference(split_clause,[status(thm)],[f835,f3253,f3281,f3289]) ).
fof(f3295,definition,
( sQ613_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ613_spl])],[split_symbol_definition]) ).
fof(f3298,plain,
( ~ sQ585_spl
| sQ613_spl
| ~ sQ607_spl ),
inference(split_clause,[status(thm)],[f841,f3267,f3295,f3171]) ).
fof(f3299,definition,
( sQ614_spl
<=> op2(op2(e22,e23),e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ614_spl])],[split_symbol_definition]) ).
fof(f3301,plain,
( sQ614_spl
| op2(op2(e22,e23),e23) != e22 ),
inference(component_clause,[status(thm)],[f3299]) ).
fof(f3303,definition,
( sQ615_spl
<=> op2(op2(e22,e23),e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ615_spl])],[split_symbol_definition]) ).
fof(f3305,plain,
( sQ615_spl
| op2(op2(e22,e23),e22) != e23 ),
inference(component_clause,[status(thm)],[f3303]) ).
fof(f3306,plain,
( ~ sQ615_spl
| sQ613_spl
| ~ sQ607_spl ),
inference(split_clause,[status(thm)],[f843,f3267,f3295,f3303]) ).
fof(f3307,plain,
( ~ sQ613_spl
| sQ607_spl ),
inference(split_clause,[status(thm)],[f844,f3267,f3295]) ).
fof(f3308,plain,
( sQ615_spl
| ~ sQ614_spl
| sQ585_spl
| sQ607_spl ),
inference(split_clause,[status(thm)],[f845,f3267,f3171,f3299,f3303]) ).
fof(f3309,definition,
( sQ616_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ616_spl])],[split_symbol_definition]) ).
fof(f3312,definition,
( sQ617_spl
<=> op1(e12,e12) = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[sQ617_spl])],[split_symbol_definition]) ).
fof(f3314,plain,
( sQ617_spl
| op1(e12,e12) != op1(e12,e12) ),
inference(component_clause,[status(thm)],[f3312]) ).
fof(f3315,plain,
( ~ sQ617_spl
| sQ616_spl
| ~ sQ610_spl ),
inference(split_clause,[status(thm)],[f849,f3281,f3309,f3312]) ).
fof(f3323,definition,
( sQ619_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ619_spl])],[split_symbol_definition]) ).
fof(f3326,definition,
( sQ620_spl
<=> op2(e22,e22) = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[sQ620_spl])],[split_symbol_definition]) ).
fof(f3328,plain,
( sQ620_spl
| op2(e22,e22) != op2(e22,e22) ),
inference(component_clause,[status(thm)],[f3326]) ).
fof(f3329,plain,
( ~ sQ620_spl
| sQ619_spl
| ~ sQ613_spl ),
inference(split_clause,[status(thm)],[f857,f3295,f3323,f3326]) ).
fof(f3335,plain,
( ~ sQ619_spl
| sQ613_spl ),
inference(split_clause,[status(thm)],[f860,f3295,f3323]) ).
fof(f3337,definition,
( sQ622_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ622_spl])],[split_symbol_definition]) ).
fof(f3340,definition,
( sQ623_spl
<=> op1(e11,e12) = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[sQ623_spl])],[split_symbol_definition]) ).
fof(f3341,plain,
( ~ sQ623_spl
| op1(e11,e12) = op1(e12,e11) ),
inference(component_clause,[status(thm)],[f3340]) ).
fof(f3342,plain,
( sQ623_spl
| op1(e11,e12) != op1(e12,e11) ),
inference(component_clause,[status(thm)],[f3340]) ).
fof(f3343,plain,
( ~ sQ623_spl
| sQ622_spl
| ~ sQ616_spl ),
inference(split_clause,[status(thm)],[f865,f3309,f3337,f3340]) ).
fof(f3344,definition,
( sQ624_spl
<=> op1(op1(e12,e11),e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ624_spl])],[split_symbol_definition]) ).
fof(f3345,plain,
( ~ sQ624_spl
| op1(op1(e12,e11),e11) = e12 ),
inference(component_clause,[status(thm)],[f3344]) ).
fof(f3347,plain,
( sQ624_spl
| sQ622_spl
| ~ sQ616_spl ),
inference(split_clause,[status(thm)],[f866,f3309,f3337,f3344]) ).
fof(f3354,definition,
( sQ626_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ626_spl])],[split_symbol_definition]) ).
fof(f3357,definition,
( sQ627_spl
<=> op2(e21,e22) = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[sQ627_spl])],[split_symbol_definition]) ).
fof(f3358,plain,
( ~ sQ627_spl
| op2(e21,e22) = op2(e22,e21) ),
inference(component_clause,[status(thm)],[f3357]) ).
fof(f3359,plain,
( sQ627_spl
| op2(e21,e22) != op2(e22,e21) ),
inference(component_clause,[status(thm)],[f3357]) ).
fof(f3360,plain,
( ~ sQ627_spl
| sQ626_spl
| ~ sQ619_spl ),
inference(split_clause,[status(thm)],[f873,f3323,f3354,f3357]) ).
fof(f3361,definition,
( sQ628_spl
<=> op2(op2(e22,e21),e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ628_spl])],[split_symbol_definition]) ).
fof(f3362,plain,
( ~ sQ628_spl
| op2(op2(e22,e21),e21) = e22 ),
inference(component_clause,[status(thm)],[f3361]) ).
fof(f3364,plain,
( sQ628_spl
| sQ626_spl
| ~ sQ619_spl ),
inference(split_clause,[status(thm)],[f874,f3323,f3354,f3361]) ).
fof(f3365,definition,
( sQ629_spl
<=> op2(op2(e22,e21),e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ629_spl])],[split_symbol_definition]) ).
fof(f3368,plain,
( ~ sQ629_spl
| sQ626_spl
| ~ sQ619_spl ),
inference(split_clause,[status(thm)],[f875,f3323,f3354,f3365]) ).
fof(f3369,plain,
( ~ sQ626_spl
| sQ619_spl ),
inference(split_clause,[status(thm)],[f876,f3323,f3354]) ).
fof(f3370,plain,
( sQ629_spl
| ~ sQ628_spl
| sQ627_spl
| sQ619_spl ),
inference(split_clause,[status(thm)],[f877,f3323,f3357,f3361,f3365]) ).
fof(f3371,definition,
( sQ630_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ630_spl])],[split_symbol_definition]) ).
fof(f3374,definition,
( sQ631_spl
<=> op1(e10,e12) = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[sQ631_spl])],[split_symbol_definition]) ).
fof(f3376,plain,
( sQ631_spl
| op1(e10,e12) != op1(e12,e10) ),
inference(component_clause,[status(thm)],[f3374]) ).
fof(f3377,plain,
( ~ sQ631_spl
| sQ630_spl
| ~ sQ622_spl ),
inference(split_clause,[status(thm)],[f881,f3337,f3371,f3374]) ).
fof(f3378,definition,
( sQ632_spl
<=> op1(op1(e12,e10),e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ632_spl])],[split_symbol_definition]) ).
fof(f3380,plain,
( sQ632_spl
| op1(op1(e12,e10),e10) != e12 ),
inference(component_clause,[status(thm)],[f3378]) ).
fof(f3382,definition,
( sQ633_spl
<=> op1(op1(e12,e10),e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ633_spl])],[split_symbol_definition]) ).
fof(f3383,plain,
( ~ sQ633_spl
| op1(op1(e12,e10),e12) = e10 ),
inference(component_clause,[status(thm)],[f3382]) ).
fof(f3388,definition,
( sQ634_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ634_spl])],[split_symbol_definition]) ).
fof(f3391,definition,
( sQ635_spl
<=> op2(e20,e22) = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[sQ635_spl])],[split_symbol_definition]) ).
fof(f3393,plain,
( sQ635_spl
| op2(e20,e22) != op2(e22,e20) ),
inference(component_clause,[status(thm)],[f3391]) ).
fof(f3394,plain,
( ~ sQ635_spl
| sQ634_spl
| ~ sQ626_spl ),
inference(split_clause,[status(thm)],[f889,f3354,f3388,f3391]) ).
fof(f3399,definition,
( sQ637_spl
<=> op2(op2(e22,e20),e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ637_spl])],[split_symbol_definition]) ).
fof(f3400,plain,
( ~ sQ637_spl
| op2(op2(e22,e20),e22) = e20 ),
inference(component_clause,[status(thm)],[f3399]) ).
fof(f3403,plain,
( ~ sQ634_spl
| sQ626_spl ),
inference(split_clause,[status(thm)],[f892,f3354,f3388]) ).
fof(f3405,definition,
( sQ638_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ638_spl])],[split_symbol_definition]) ).
fof(f3408,plain,
( ~ sQ553_spl
| sQ638_spl
| ~ sQ630_spl ),
inference(split_clause,[status(thm)],[f897,f3371,f3405,f3030]) ).
fof(f3409,definition,
( sQ639_spl
<=> op1(op1(e11,e14),e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ639_spl])],[split_symbol_definition]) ).
fof(f3410,plain,
( ~ sQ639_spl
| op1(op1(e11,e14),e14) = e11 ),
inference(component_clause,[status(thm)],[f3409]) ).
fof(f3412,plain,
( sQ639_spl
| sQ638_spl
| ~ sQ630_spl ),
inference(split_clause,[status(thm)],[f898,f3371,f3405,f3409]) ).
fof(f3413,definition,
( sQ640_spl
<=> op1(op1(e11,e14),e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ640_spl])],[split_symbol_definition]) ).
fof(f3415,plain,
( sQ640_spl
| op1(op1(e11,e14),e11) != e14 ),
inference(component_clause,[status(thm)],[f3413]) ).
fof(f3419,definition,
( sQ641_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ641_spl])],[split_symbol_definition]) ).
fof(f3422,plain,
( ~ sQ557_spl
| sQ641_spl
| ~ sQ634_spl ),
inference(split_clause,[status(thm)],[f905,f3388,f3419,f3047]) ).
fof(f3423,definition,
( sQ642_spl
<=> op2(op2(e21,e24),e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ642_spl])],[split_symbol_definition]) ).
fof(f3424,plain,
( ~ sQ642_spl
| op2(op2(e21,e24),e24) = e21 ),
inference(component_clause,[status(thm)],[f3423]) ).
fof(f3426,plain,
( sQ642_spl
| sQ641_spl
| ~ sQ634_spl ),
inference(split_clause,[status(thm)],[f906,f3388,f3419,f3423]) ).
fof(f3431,plain,
( ~ sQ641_spl
| sQ634_spl ),
inference(split_clause,[status(thm)],[f908,f3388,f3419]) ).
fof(f3433,definition,
( sQ644_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ644_spl])],[split_symbol_definition]) ).
fof(f3436,plain,
( ~ sQ589_spl
| sQ644_spl
| ~ sQ638_spl ),
inference(split_clause,[status(thm)],[f913,f3405,f3433,f3188]) ).
fof(f3437,definition,
( sQ645_spl
<=> op1(op1(e11,e13),e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ645_spl])],[split_symbol_definition]) ).
fof(f3438,plain,
( ~ sQ645_spl
| op1(op1(e11,e13),e13) = e11 ),
inference(component_clause,[status(thm)],[f3437]) ).
fof(f3440,plain,
( sQ645_spl
| sQ644_spl
| ~ sQ638_spl ),
inference(split_clause,[status(thm)],[f914,f3405,f3433,f3437]) ).
fof(f3445,plain,
( ~ sQ644_spl
| sQ638_spl ),
inference(split_clause,[status(thm)],[f916,f3405,f3433]) ).
fof(f3447,definition,
( sQ647_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ647_spl])],[split_symbol_definition]) ).
fof(f3450,plain,
( ~ sQ593_spl
| sQ647_spl
| ~ sQ641_spl ),
inference(split_clause,[status(thm)],[f921,f3419,f3447,f3205]) ).
fof(f3451,definition,
( sQ648_spl
<=> op2(op2(e21,e23),e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ648_spl])],[split_symbol_definition]) ).
fof(f3452,plain,
( ~ sQ648_spl
| op2(op2(e21,e23),e23) = e21 ),
inference(component_clause,[status(thm)],[f3451]) ).
fof(f3454,plain,
( sQ648_spl
| sQ647_spl
| ~ sQ641_spl ),
inference(split_clause,[status(thm)],[f922,f3419,f3447,f3451]) ).
fof(f3459,plain,
( ~ sQ647_spl
| sQ641_spl ),
inference(split_clause,[status(thm)],[f924,f3419,f3447]) ).
fof(f3461,definition,
( sQ650_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ650_spl])],[split_symbol_definition]) ).
fof(f3464,plain,
( ~ sQ623_spl
| sQ650_spl
| ~ sQ644_spl ),
inference(split_clause,[status(thm)],[f929,f3433,f3461,f3340]) ).
fof(f3465,definition,
( sQ651_spl
<=> op1(op1(e11,e12),e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ651_spl])],[split_symbol_definition]) ).
fof(f3466,plain,
( ~ sQ651_spl
| op1(op1(e11,e12),e12) = e11 ),
inference(component_clause,[status(thm)],[f3465]) ).
fof(f3467,plain,
( sQ651_spl
| op1(op1(e11,e12),e12) != e11 ),
inference(component_clause,[status(thm)],[f3465]) ).
fof(f3468,plain,
( sQ651_spl
| sQ650_spl
| ~ sQ644_spl ),
inference(split_clause,[status(thm)],[f930,f3433,f3461,f3465]) ).
fof(f3469,definition,
( sQ652_spl
<=> op1(op1(e11,e12),e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ652_spl])],[split_symbol_definition]) ).
fof(f3470,plain,
( ~ sQ652_spl
| op1(op1(e11,e12),e11) = e12 ),
inference(component_clause,[status(thm)],[f3469]) ).
fof(f3474,plain,
( sQ652_spl
| ~ sQ651_spl
| sQ623_spl
| sQ644_spl ),
inference(split_clause,[status(thm)],[f933,f3433,f3340,f3465,f3469]) ).
fof(f3475,definition,
( sQ653_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ653_spl])],[split_symbol_definition]) ).
fof(f3479,definition,
( sQ654_spl
<=> op2(op2(e21,e22),e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ654_spl])],[split_symbol_definition]) ).
fof(f3480,plain,
( ~ sQ654_spl
| op2(op2(e21,e22),e22) = e21 ),
inference(component_clause,[status(thm)],[f3479]) ).
fof(f3482,plain,
( sQ654_spl
| sQ653_spl
| ~ sQ647_spl ),
inference(split_clause,[status(thm)],[f938,f3447,f3475,f3479]) ).
fof(f3483,definition,
( sQ655_spl
<=> op2(op2(e21,e22),e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ655_spl])],[split_symbol_definition]) ).
fof(f3486,plain,
( ~ sQ655_spl
| sQ653_spl
| ~ sQ647_spl ),
inference(split_clause,[status(thm)],[f939,f3447,f3475,f3483]) ).
fof(f3488,plain,
( sQ655_spl
| ~ sQ654_spl
| sQ627_spl
| sQ647_spl ),
inference(split_clause,[status(thm)],[f941,f3447,f3357,f3479,f3483]) ).
fof(f3489,definition,
( sQ656_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ656_spl])],[split_symbol_definition]) ).
fof(f3492,definition,
( sQ657_spl
<=> op1(e11,e11) = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[sQ657_spl])],[split_symbol_definition]) ).
fof(f3494,plain,
( sQ657_spl
| op1(e11,e11) != op1(e11,e11) ),
inference(component_clause,[status(thm)],[f3492]) ).
fof(f3495,plain,
( ~ sQ657_spl
| sQ656_spl
| ~ sQ650_spl ),
inference(split_clause,[status(thm)],[f945,f3461,f3489,f3492]) ).
fof(f3503,definition,
( sQ659_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ659_spl])],[split_symbol_definition]) ).
fof(f3506,definition,
( sQ660_spl
<=> op2(e21,e21) = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[sQ660_spl])],[split_symbol_definition]) ).
fof(f3508,plain,
( sQ660_spl
| op2(e21,e21) != op2(e21,e21) ),
inference(component_clause,[status(thm)],[f3506]) ).
fof(f3509,plain,
( ~ sQ660_spl
| sQ659_spl
| ~ sQ653_spl ),
inference(split_clause,[status(thm)],[f953,f3475,f3503,f3506]) ).
fof(f3517,definition,
( sQ662_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ662_spl])],[split_symbol_definition]) ).
fof(f3520,definition,
( sQ663_spl
<=> op1(e10,e11) = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[sQ663_spl])],[split_symbol_definition]) ).
fof(f3522,plain,
( sQ663_spl
| op1(e10,e11) != op1(e11,e10) ),
inference(component_clause,[status(thm)],[f3520]) ).
fof(f3523,plain,
( ~ sQ663_spl
| sQ662_spl
| ~ sQ656_spl ),
inference(split_clause,[status(thm)],[f961,f3489,f3517,f3520]) ).
fof(f3524,definition,
( sQ664_spl
<=> op1(op1(e11,e10),e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ664_spl])],[split_symbol_definition]) ).
fof(f3526,plain,
( sQ664_spl
| op1(op1(e11,e10),e10) != e11 ),
inference(component_clause,[status(thm)],[f3524]) ).
fof(f3528,definition,
( sQ665_spl
<=> op1(op1(e11,e10),e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ665_spl])],[split_symbol_definition]) ).
fof(f3529,plain,
( ~ sQ665_spl
| op1(op1(e11,e10),e11) = e10 ),
inference(component_clause,[status(thm)],[f3528]) ).
fof(f3534,definition,
( sQ666_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ666_spl])],[split_symbol_definition]) ).
fof(f3537,definition,
( sQ667_spl
<=> op2(e20,e21) = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[sQ667_spl])],[split_symbol_definition]) ).
fof(f3539,plain,
( sQ667_spl
| op2(e20,e21) != op2(e21,e20) ),
inference(component_clause,[status(thm)],[f3537]) ).
fof(f3540,plain,
( ~ sQ667_spl
| sQ666_spl
| ~ sQ659_spl ),
inference(split_clause,[status(thm)],[f969,f3503,f3534,f3537]) ).
fof(f3541,definition,
( sQ668_spl
<=> op2(op2(e21,e20),e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ668_spl])],[split_symbol_definition]) ).
fof(f3542,plain,
( ~ sQ668_spl
| op2(op2(e21,e20),e20) = e21 ),
inference(component_clause,[status(thm)],[f3541]) ).
fof(f3543,plain,
( sQ668_spl
| op2(op2(e21,e20),e20) != e21 ),
inference(component_clause,[status(thm)],[f3541]) ).
fof(f3545,definition,
( sQ669_spl
<=> op2(op2(e21,e20),e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ669_spl])],[split_symbol_definition]) ).
fof(f3546,plain,
( ~ sQ669_spl
| op2(op2(e21,e20),e21) = e20 ),
inference(component_clause,[status(thm)],[f3545]) ).
fof(f3551,definition,
( sQ670_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ670_spl])],[split_symbol_definition]) ).
fof(f3554,plain,
( ~ sQ561_spl
| sQ670_spl
| ~ sQ662_spl ),
inference(split_clause,[status(thm)],[f977,f3517,f3551,f3064]) ).
fof(f3555,definition,
( sQ671_spl
<=> op1(op1(e10,e14),e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ671_spl])],[split_symbol_definition]) ).
fof(f3556,plain,
( ~ sQ671_spl
| op1(op1(e10,e14),e14) = e10 ),
inference(component_clause,[status(thm)],[f3555]) ).
fof(f3559,definition,
( sQ672_spl
<=> op1(op1(e10,e14),e10) = e14 ),
introduced(definition,[new_symbols(definition,[sQ672_spl])],[split_symbol_definition]) ).
fof(f3560,plain,
( ~ sQ672_spl
| op1(op1(e10,e14),e10) = e14 ),
inference(component_clause,[status(thm)],[f3559]) ).
fof(f3561,plain,
( sQ672_spl
| op1(op1(e10,e14),e10) != e14 ),
inference(component_clause,[status(thm)],[f3559]) ).
fof(f3565,definition,
( sQ673_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ673_spl])],[split_symbol_definition]) ).
fof(f3568,plain,
( ~ sQ565_spl
| sQ673_spl
| ~ sQ666_spl ),
inference(split_clause,[status(thm)],[f985,f3534,f3565,f3081]) ).
fof(f3569,definition,
( sQ674_spl
<=> op2(op2(e20,e24),e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ674_spl])],[split_symbol_definition]) ).
fof(f3571,plain,
( sQ674_spl
| op2(op2(e20,e24),e24) != e20 ),
inference(component_clause,[status(thm)],[f3569]) ).
fof(f3573,definition,
( sQ675_spl
<=> op2(op2(e20,e24),e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ675_spl])],[split_symbol_definition]) ).
fof(f3575,plain,
( sQ675_spl
| op2(op2(e20,e24),e20) != e24 ),
inference(component_clause,[status(thm)],[f3573]) ).
fof(f3579,definition,
( sQ676_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ676_spl])],[split_symbol_definition]) ).
fof(f3582,plain,
( ~ sQ597_spl
| sQ676_spl
| ~ sQ670_spl ),
inference(split_clause,[status(thm)],[f993,f3551,f3579,f3222]) ).
fof(f3583,definition,
( sQ677_spl
<=> op1(op1(e10,e13),e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ677_spl])],[split_symbol_definition]) ).
fof(f3584,plain,
( ~ sQ677_spl
| op1(op1(e10,e13),e13) = e10 ),
inference(component_clause,[status(thm)],[f3583]) ).
fof(f3593,definition,
( sQ679_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ679_spl])],[split_symbol_definition]) ).
fof(f3596,plain,
( ~ sQ601_spl
| sQ679_spl
| ~ sQ673_spl ),
inference(split_clause,[status(thm)],[f1001,f3565,f3593,f3239]) ).
fof(f3597,definition,
( sQ680_spl
<=> op2(op2(e20,e23),e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ680_spl])],[split_symbol_definition]) ).
fof(f3598,plain,
( ~ sQ680_spl
| op2(op2(e20,e23),e23) = e20 ),
inference(component_clause,[status(thm)],[f3597]) ).
fof(f3607,definition,
( sQ682_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ682_spl])],[split_symbol_definition]) ).
fof(f3611,definition,
( sQ683_spl
<=> op1(op1(e10,e12),e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ683_spl])],[split_symbol_definition]) ).
fof(f3612,plain,
( ~ sQ683_spl
| op1(op1(e10,e12),e12) = e10 ),
inference(component_clause,[status(thm)],[f3611]) ).
fof(f3615,definition,
( sQ684_spl
<=> op1(op1(e10,e12),e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ684_spl])],[split_symbol_definition]) ).
fof(f3616,plain,
( ~ sQ684_spl
| op1(op1(e10,e12),e10) = e12 ),
inference(component_clause,[status(thm)],[f3615]) ).
fof(f3617,plain,
( sQ684_spl
| op1(op1(e10,e12),e10) != e12 ),
inference(component_clause,[status(thm)],[f3615]) ).
fof(f3618,plain,
( ~ sQ684_spl
| sQ682_spl
| ~ sQ676_spl ),
inference(split_clause,[status(thm)],[f1011,f3579,f3607,f3615]) ).
fof(f3621,definition,
( sQ685_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ685_spl])],[split_symbol_definition]) ).
fof(f3624,plain,
( ~ sQ635_spl
| sQ685_spl
| ~ sQ679_spl ),
inference(split_clause,[status(thm)],[f1017,f3593,f3621,f3391]) ).
fof(f3629,definition,
( sQ687_spl
<=> op2(op2(e20,e22),e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ687_spl])],[split_symbol_definition]) ).
fof(f3631,plain,
( sQ687_spl
| op2(op2(e20,e22),e20) != e22 ),
inference(component_clause,[status(thm)],[f3629]) ).
fof(f3635,definition,
( sQ688_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ688_spl])],[split_symbol_definition]) ).
fof(f3639,definition,
( sQ689_spl
<=> op1(op1(e10,e11),e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ689_spl])],[split_symbol_definition]) ).
fof(f3640,plain,
( ~ sQ689_spl
| op1(op1(e10,e11),e11) = e10 ),
inference(component_clause,[status(thm)],[f3639]) ).
fof(f3642,plain,
( sQ689_spl
| sQ688_spl
| ~ sQ682_spl ),
inference(split_clause,[status(thm)],[f1026,f3607,f3635,f3639]) ).
fof(f3649,definition,
( sQ691_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ691_spl])],[split_symbol_definition]) ).
fof(f3653,definition,
( sQ692_spl
<=> op2(op2(e20,e21),e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ692_spl])],[split_symbol_definition]) ).
fof(f3654,plain,
( ~ sQ692_spl
| op2(op2(e20,e21),e21) = e20 ),
inference(component_clause,[status(thm)],[f3653]) ).
fof(f3656,plain,
( sQ692_spl
| sQ691_spl
| ~ sQ685_spl ),
inference(split_clause,[status(thm)],[f1034,f3621,f3649,f3653]) ).
fof(f3663,definition,
( sQ694_spl
<=> op1(e10,e10) = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[sQ694_spl])],[split_symbol_definition]) ).
fof(f3665,plain,
( sQ694_spl
| op1(e10,e10) != op1(e10,e10) ),
inference(component_clause,[status(thm)],[f3663]) ).
fof(f3666,plain,
( ~ sQ694_spl
| ~ sQ688_spl ),
inference(split_clause,[status(thm)],[f1039,f3635,f3663]) ).
fof(f3673,definition,
( sQ696_spl
<=> op2(e20,e20) = op2(e20,e20) ),
introduced(definition,[new_symbols(definition,[sQ696_spl])],[split_symbol_definition]) ).
fof(f3675,plain,
( sQ696_spl
| op2(e20,e20) != op2(e20,e20) ),
inference(component_clause,[status(thm)],[f3673]) ).
fof(f3676,plain,
( ~ sQ696_spl
| ~ sQ691_spl ),
inference(split_clause,[status(thm)],[f1044,f3649,f3673]) ).
fof(f3683,plain,
( sQ660_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3508]) ).
fof(f3684,plain,
sQ660_spl,
inference(contradiction_clause,[status(thm)],[f3683]) ).
fof(f3685,plain,
( sQ620_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3328]) ).
fof(f3686,plain,
sQ620_spl,
inference(contradiction_clause,[status(thm)],[f3685]) ).
fof(f3687,plain,
( sQ578_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3142]) ).
fof(f3688,plain,
sQ578_spl,
inference(contradiction_clause,[status(thm)],[f3687]) ).
fof(f3689,plain,
( sQ657_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3494]) ).
fof(f3690,plain,
sQ657_spl,
inference(contradiction_clause,[status(thm)],[f3689]) ).
fof(f3691,plain,
( sQ617_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3314]) ).
fof(f3692,plain,
sQ617_spl,
inference(contradiction_clause,[status(thm)],[f3691]) ).
fof(f3693,plain,
( sQ575_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3128]) ).
fof(f3694,plain,
sQ575_spl,
inference(contradiction_clause,[status(thm)],[f3693]) ).
fof(f3695,plain,
( sQ261_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1985]) ).
fof(f3696,plain,
sQ261_spl,
inference(contradiction_clause,[status(thm)],[f3695]) ).
fof(f3697,plain,
( sQ264_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1997]) ).
fof(f3698,plain,
sQ264_spl,
inference(contradiction_clause,[status(thm)],[f3697]) ).
fof(f3699,plain,
( sQ696_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3675]) ).
fof(f3700,plain,
sQ696_spl,
inference(contradiction_clause,[status(thm)],[f3699]) ).
fof(f3701,plain,
( sQ694_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3665]) ).
fof(f3702,plain,
sQ694_spl,
inference(contradiction_clause,[status(thm)],[f3701]) ).
fof(f3706,plain,
( ~ sQ259_spl
| op2(e24,e23) = e23 ),
inference(backward_demodulation,[status(thm)],[f1927,f140]) ).
fof(f3725,plain,
( ~ sQ129_spl
| op1(e14,e13) = e13 ),
inference(backward_demodulation,[status(thm)],[f1461,f54]) ).
fof(f3736,plain,
( sQ434_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f2533]) ).
fof(f3737,plain,
sQ434_spl,
inference(contradiction_clause,[status(thm)],[f3736]) ).
fof(f3852,plain,
( ~ sQ517_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f473,f2880]) ).
fof(f3853,plain,
( ~ sQ517_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3852,f412]) ).
fof(f3854,plain,
~ sQ517_spl,
inference(contradiction_clause,[status(thm)],[f3853]) ).
fof(f3856,plain,
( ~ sQ516_spl
| ~ sQ521_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f2897,f2876]) ).
fof(f3857,plain,
( ~ sQ516_spl
| ~ sQ521_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3856,f412]) ).
fof(f3858,plain,
( ~ sQ516_spl
| ~ sQ521_spl ),
inference(contradiction_clause,[status(thm)],[f3857]) ).
fof(f3869,plain,
( ~ sQ512_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f473,f2859]) ).
fof(f3870,plain,
( ~ sQ512_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3869,f410]) ).
fof(f3871,plain,
~ sQ512_spl,
inference(contradiction_clause,[status(thm)],[f3870]) ).
fof(f3876,plain,
( ~ sQ507_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f473,f2838]) ).
fof(f3877,plain,
( ~ sQ507_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3876,f407]) ).
fof(f3878,plain,
~ sQ507_spl,
inference(contradiction_clause,[status(thm)],[f3877]) ).
fof(f3883,plain,
( ~ sQ505_spl
| ~ sQ510_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2851,f2830]) ).
fof(f3884,plain,
( ~ sQ505_spl
| ~ sQ510_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3883,f405]) ).
fof(f3885,plain,
( ~ sQ505_spl
| ~ sQ510_spl ),
inference(contradiction_clause,[status(thm)],[f3884]) ).
fof(f3886,plain,
( ~ sQ504_spl
| ~ sQ509_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2847,f2826]) ).
fof(f3887,plain,
( ~ sQ504_spl
| ~ sQ509_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3886,f405]) ).
fof(f3888,plain,
( ~ sQ504_spl
| ~ sQ509_spl ),
inference(contradiction_clause,[status(thm)],[f3887]) ).
fof(f3890,plain,
( ~ sQ502_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f468,f2817]) ).
fof(f3891,plain,
( ~ sQ502_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3890,f412]) ).
fof(f3892,plain,
~ sQ502_spl,
inference(contradiction_clause,[status(thm)],[f3891]) ).
fof(f3909,plain,
( ~ sQ492_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f468,f2775]) ).
fof(f3910,plain,
( ~ sQ492_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3909,f409]) ).
fof(f3911,plain,
~ sQ492_spl,
inference(contradiction_clause,[status(thm)],[f3910]) ).
fof(f3916,plain,
( ~ sQ487_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f468,f2754]) ).
fof(f3917,plain,
( ~ sQ487_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3916,f406]) ).
fof(f3918,plain,
~ sQ487_spl,
inference(contradiction_clause,[status(thm)],[f3917]) ).
fof(f3920,plain,
( ~ sQ486_spl
| ~ sQ491_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2771,f2750]) ).
fof(f3921,plain,
( ~ sQ486_spl
| ~ sQ491_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3920,f405]) ).
fof(f3922,plain,
( ~ sQ486_spl
| ~ sQ491_spl ),
inference(contradiction_clause,[status(thm)],[f3921]) ).
fof(f3930,plain,
( ~ sQ482_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f463,f2733]) ).
fof(f3931,plain,
( ~ sQ482_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3930,f410]) ).
fof(f3932,plain,
~ sQ482_spl,
inference(contradiction_clause,[status(thm)],[f3931]) ).
fof(f3940,plain,
( ~ sQ477_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f463,f2712]) ).
fof(f3941,plain,
( ~ sQ477_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3940,f409]) ).
fof(f3942,plain,
~ sQ477_spl,
inference(contradiction_clause,[status(thm)],[f3941]) ).
fof(f3944,plain,
( ~ sQ476_spl
| ~ sQ481_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f2729,f2708]) ).
fof(f3945,plain,
( ~ sQ476_spl
| ~ sQ481_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3944,f412]) ).
fof(f3946,plain,
( ~ sQ476_spl
| ~ sQ481_spl ),
inference(contradiction_clause,[status(thm)],[f3945]) ).
fof(f3956,plain,
( ~ sQ467_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f463,f2670]) ).
fof(f3957,plain,
( ~ sQ467_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3956,f405]) ).
fof(f3958,plain,
~ sQ467_spl,
inference(contradiction_clause,[status(thm)],[f3957]) ).
fof(f3966,plain,
( ~ sQ464_spl
| ~ sQ469_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2679,f2658]) ).
fof(f3967,plain,
( ~ sQ464_spl
| ~ sQ469_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3966,f405]) ).
fof(f3968,plain,
( ~ sQ464_spl
| ~ sQ469_spl ),
inference(contradiction_clause,[status(thm)],[f3967]) ).
fof(f3970,plain,
( ~ sQ462_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f458,f2649]) ).
fof(f3971,plain,
( ~ sQ462_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3970,f407]) ).
fof(f3972,plain,
~ sQ462_spl,
inference(contradiction_clause,[status(thm)],[f3971]) ).
fof(f3980,plain,
( ~ sQ457_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f458,f2628]) ).
fof(f3981,plain,
( ~ sQ457_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3980,f406]) ).
fof(f3982,plain,
~ sQ457_spl,
inference(contradiction_clause,[status(thm)],[f3981]) ).
fof(f3993,plain,
( ~ sQ452_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f458,f2607]) ).
fof(f3994,plain,
( ~ sQ452_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3993,f405]) ).
fof(f3995,plain,
~ sQ452_spl,
inference(contradiction_clause,[status(thm)],[f3994]) ).
fof(f3997,plain,
( ~ sQ448_spl
| ~ sQ453_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2611,f2590]) ).
fof(f3998,plain,
( ~ sQ448_spl
| ~ sQ453_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3997,f405]) ).
fof(f3999,plain,
( ~ sQ448_spl
| ~ sQ453_spl ),
inference(contradiction_clause,[status(thm)],[f3998]) ).
fof(f4001,plain,
( sQ410_spl
| ~ sQ434_spl
| h5(op1(e11,e13)) != op2(h5(e11),e24) ),
inference(backward_demodulation,[status(thm)],[f2532,f2458]) ).
fof(f4002,plain,
( ~ sQ542_spl
| ~ sQ434_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f2532,f2985]) ).
fof(f4003,plain,
( ~ sQ542_spl
| ~ sQ434_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4002,f414]) ).
fof(f4004,plain,
( ~ sQ542_spl
| ~ sQ434_spl ),
inference(contradiction_clause,[status(thm)],[f4003]) ).
fof(f4017,plain,
( ~ sQ532_spl
| ~ sQ434_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f2532,f2943]) ).
fof(f4018,plain,
( ~ sQ532_spl
| ~ sQ434_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4017,f411]) ).
fof(f4019,plain,
( ~ sQ532_spl
| ~ sQ434_spl ),
inference(contradiction_clause,[status(thm)],[f4018]) ).
fof(f4044,plain,
( sQ391_spl
| h4(op1(e14,e13)) != op2(h4(e14),e23) ),
inference(forward_demodulation,[status(thm)],[f473,f2396]) ).
fof(f4050,plain,
( ~ sQ491_spl
| ~ sQ501_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2813,f2771]) ).
fof(f4051,plain,
( ~ sQ491_spl
| ~ sQ501_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4050,f410]) ).
fof(f4052,plain,
( ~ sQ491_spl
| ~ sQ501_spl ),
inference(contradiction_clause,[status(thm)],[f4051]) ).
fof(f4064,plain,
( sQ387_spl
| h4(op1(e13,e14)) != op2(e23,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f473,f2384]) ).
fof(f4065,plain,
( ~ sQ465_spl
| ~ sQ475_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f2704,f2662]) ).
fof(f4066,plain,
( ~ sQ465_spl
| ~ sQ475_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4065,f406]) ).
fof(f4067,plain,
( ~ sQ465_spl
| ~ sQ475_spl ),
inference(contradiction_clause,[status(thm)],[f4066]) ).
fof(f4082,plain,
( sQ386_spl
| h4(op1(e13,e13)) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f473,f2381]) ).
fof(f4083,plain,
( sQ386_spl
| h4(op1(e13,e13)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f473,f4082]) ).
fof(f4087,plain,
( ~ sQ540_spl
| ~ sQ530_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f2935,f2977]) ).
fof(f4088,plain,
( ~ sQ540_spl
| ~ sQ530_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4087,f410]) ).
fof(f4089,plain,
( ~ sQ540_spl
| ~ sQ530_spl ),
inference(contradiction_clause,[status(thm)],[f4088]) ).
fof(f4100,plain,
( ~ sQ527_spl
| ~ sQ434_spl
| e24 = e20 ),
inference(forward_demodulation,[status(thm)],[f2532,f2922]) ).
fof(f4101,plain,
( ~ sQ527_spl
| ~ sQ434_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4100,f408]) ).
fof(f4102,plain,
( ~ sQ527_spl
| ~ sQ434_spl ),
inference(contradiction_clause,[status(thm)],[f4101]) ).
fof(f4103,plain,
( ~ sQ537_spl
| ~ sQ434_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f2532,f2964]) ).
fof(f4104,plain,
( ~ sQ537_spl
| ~ sQ434_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4103,f413]) ).
fof(f4105,plain,
( ~ sQ537_spl
| ~ sQ434_spl ),
inference(contradiction_clause,[status(thm)],[f4104]) ).
fof(f4106,plain,
( sQ385_spl
| h4(op1(e13,e12)) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f473,f2378]) ).
fof(f4111,plain,
( sQ384_spl
| h4(op1(e13,e11)) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f473,f2375]) ).
fof(f4112,plain,
( sQ384_spl
| ~ sQ510_spl
| h4(op1(e13,e11)) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2851,f4111]) ).
fof(f4113,plain,
( ~ sQ520_spl
| ~ sQ510_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f2851,f2893]) ).
fof(f4114,plain,
( ~ sQ520_spl
| ~ sQ510_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4113,f410]) ).
fof(f4115,plain,
( ~ sQ520_spl
| ~ sQ510_spl ),
inference(contradiction_clause,[status(thm)],[f4114]) ).
fof(f4134,plain,
( sQ383_spl
| h4(op1(e13,e10)) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f473,f2372]) ).
fof(f4144,plain,
( ~ sQ474_spl
| ~ sQ464_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2658,f2700]) ).
fof(f4145,plain,
( ~ sQ474_spl
| ~ sQ464_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4144,f406]) ).
fof(f4146,plain,
( ~ sQ474_spl
| ~ sQ464_spl ),
inference(contradiction_clause,[status(thm)],[f4145]) ).
fof(f4149,plain,
( sQ381_spl
| h4(op1(e12,e13)) != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f473,f2366]) ).
fof(f4179,plain,
( sQ382_spl
| ~ sQ516_spl
| h4(op1(e12,e14)) != op2(e22,h4(e14)) ),
inference(backward_demodulation,[status(thm)],[f2876,f2369]) ).
fof(f4182,plain,
( sQ385_spl
| ~ sQ516_spl
| h4(op1(e13,e12)) != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f2876,f4106]) ).
fof(f4183,plain,
( sQ390_spl
| ~ sQ516_spl
| h4(op1(e14,e12)) != op2(h4(e14),e22) ),
inference(backward_demodulation,[status(thm)],[f2876,f2393]) ).
fof(f4185,plain,
( ~ sQ506_spl
| ~ sQ516_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f2876,f2834]) ).
fof(f4186,plain,
( ~ sQ506_spl
| ~ sQ516_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4185,f406]) ).
fof(f4187,plain,
( ~ sQ506_spl
| ~ sQ516_spl ),
inference(contradiction_clause,[status(thm)],[f4186]) ).
fof(f4194,plain,
( ~ sQ490_spl
| ~ sQ500_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2809,f2767]) ).
fof(f4195,plain,
( ~ sQ490_spl
| ~ sQ500_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4194,f410]) ).
fof(f4196,plain,
( ~ sQ490_spl
| ~ sQ500_spl ),
inference(contradiction_clause,[status(thm)],[f4195]) ).
fof(f4217,plain,
( sQ376_spl
| h4(op1(e11,e13)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f473,f2351]) ).
fof(f4243,plain,
e10 = op1(e13,op1(op1(e13,e11),e13)),
inference(backward_demodulation,[status(thm)],[f451,f450]) ).
fof(f4244,plain,
( sQ386_spl
| h4(e11) != op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f451,f4083]) ).
fof(f4245,plain,
e11 != op1(e13,e14),
inference(backward_demodulation,[status(thm)],[f451,f284]) ).
fof(f4246,plain,
op1(e13,e12) != e11,
inference(backward_demodulation,[status(thm)],[f451,f282]) ).
fof(f4250,plain,
op1(e12,e13) != e11,
inference(backward_demodulation,[status(thm)],[f451,f232]) ).
fof(f4251,plain,
op1(e11,e13) != e11,
inference(backward_demodulation,[status(thm)],[f451,f230]) ).
fof(f4252,plain,
op1(e10,e13) != e11,
inference(backward_demodulation,[status(thm)],[f451,f227]) ).
fof(f4253,plain,
e12 = op1(op1(e13,e11),e13),
inference(forward_demodulation,[status(thm)],[f451,f452]) ).
fof(f4254,plain,
e12 = op1(e14,e13),
inference(backward_demodulation,[status(thm)],[f4262,f4253]) ).
fof(f4258,plain,
e14 != op1(e14,e11),
inference(backward_demodulation,[status(thm)],[f4262,f214]) ).
fof(f4261,plain,
op1(e10,e11) != e14,
inference(backward_demodulation,[status(thm)],[f4262,f207]) ).
fof(f4262,plain,
e14 = op1(e13,e11),
inference(forward_demodulation,[status(thm)],[f451,f453]) ).
fof(f4272,plain,
e20 = op2(e23,op2(op2(e23,e21),e23)),
inference(backward_demodulation,[status(thm)],[f455,f454]) ).
fof(f4274,plain,
op2(e23,e22) != e21,
inference(backward_demodulation,[status(thm)],[f455,f382]) ).
fof(f4276,plain,
op2(e23,e20) != e21,
inference(backward_demodulation,[status(thm)],[f455,f377]) ).
fof(f4278,plain,
op2(e22,e23) != e21,
inference(backward_demodulation,[status(thm)],[f455,f332]) ).
fof(f4279,plain,
op2(e21,e23) != e21,
inference(backward_demodulation,[status(thm)],[f455,f330]) ).
fof(f4281,plain,
e22 = op2(op2(e23,e21),e23),
inference(forward_demodulation,[status(thm)],[f455,f456]) ).
fof(f4282,plain,
e22 = op2(e24,e23),
inference(backward_demodulation,[status(thm)],[f4290,f4281]) ).
fof(f4284,plain,
e24 != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f4290,f379]) ).
fof(f4287,plain,
op2(e22,e21) != e24,
inference(backward_demodulation,[status(thm)],[f4290,f312]) ).
fof(f4288,plain,
op2(e21,e21) != e24,
inference(backward_demodulation,[status(thm)],[f4290,f310]) ).
fof(f4290,plain,
e24 = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f455,f457]) ).
fof(f4305,plain,
( sQ371_spl
| h4(op1(e10,e13)) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f473,f2336]) ).
fof(f4313,plain,
( ~ sQ254_spl
| op2(e20,e24) != e24 ),
inference(backward_demodulation,[status(thm)],[f1911,f338]) ).
fof(f4324,plain,
( ~ sQ204_spl
| op2(e20,e24) != e24 ),
inference(backward_demodulation,[status(thm)],[f1751,f336]) ).
fof(f4330,plain,
( ~ sQ456_spl
| e22 = op2(op2(e20,op2(e20,e20)),e20) ),
inference(forward_demodulation,[status(thm)],[f2624,f461]) ).
fof(f4340,plain,
( ~ sQ154_spl
| op2(e20,e23) != e24 ),
inference(backward_demodulation,[status(thm)],[f1591,f354]) ).
fof(f4341,plain,
( ~ sQ154_spl
| op2(e20,e22) != e24 ),
inference(backward_demodulation,[status(thm)],[f1591,f353]) ).
fof(f4344,plain,
( ~ sQ249_spl
| op2(e24,e20) != e24 ),
inference(backward_demodulation,[status(thm)],[f1895,f387]) ).
fof(f4354,plain,
( ~ sQ239_spl
| op2(e24,e20) != e24 ),
inference(backward_demodulation,[status(thm)],[f1863,f385]) ).
fof(f4357,plain,
( ~ sQ234_spl
| op2(e23,e20) != e24 ),
inference(backward_demodulation,[status(thm)],[f1847,f304]) ).
fof(f4371,plain,
h2(e10) = op2(e21,op2(op2(e21,h2(e11)),e21)),
inference(backward_demodulation,[status(thm)],[f465,f464]) ).
fof(f4372,plain,
h2(e11) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f465,f360]) ).
fof(f4376,plain,
( ~ sQ481_spl
| e23 = op2(op2(e21,op2(e21,e21)),e21) ),
inference(forward_demodulation,[status(thm)],[f2729,f466]) ).
fof(f4377,plain,
( ~ sQ481_spl
| e23 = op2(op2(e21,h2(e11)),e21) ),
inference(forward_demodulation,[status(thm)],[f465,f4376]) ).
fof(f4396,plain,
( ~ sQ153_spl
| ~ sQ154_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f1591,f1588]) ).
fof(f4397,plain,
( ~ sQ153_spl
| ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4396,f414]) ).
fof(f4398,plain,
( ~ sQ153_spl
| ~ sQ154_spl ),
inference(contradiction_clause,[status(thm)],[f4397]) ).
fof(f4399,plain,
( ~ sQ473_spl
| e21 = op2(e21,op2(e21,e21)) ),
inference(forward_demodulation,[status(thm)],[f2695,f467]) ).
fof(f4400,plain,
( ~ sQ481_spl
| ~ sQ473_spl
| e23 = op2(e21,e21) ),
inference(backward_demodulation,[status(thm)],[f4401,f4377]) ).
fof(f4401,plain,
( ~ sQ473_spl
| e21 = op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f465,f4399]) ).
fof(f4402,plain,
( ~ sQ481_spl
| ~ sQ473_spl
| e23 = h2(e11) ),
inference(forward_demodulation,[status(thm)],[f465,f4400]) ).
fof(f4403,plain,
( ~ sQ481_spl
| ~ sQ473_spl
| sQ480_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4402,f2726]) ).
fof(f4404,plain,
( ~ sQ481_spl
| ~ sQ473_spl
| sQ480_spl ),
inference(contradiction_clause,[status(thm)],[f4403]) ).
fof(f4405,plain,
h2(e12) = op2(op2(e21,h2(e11)),e21),
inference(forward_demodulation,[status(thm)],[f465,f466]) ).
fof(f4406,plain,
h2(e14) = op2(e21,h2(e11)),
inference(forward_demodulation,[status(thm)],[f465,f467]) ).
fof(f4434,plain,
h4(e10) = op2(e23,op2(op2(e23,e21),e23)),
inference(forward_demodulation,[status(thm)],[f455,f474]) ).
fof(f4435,plain,
h4(e10) = op2(e23,op2(e24,e23)),
inference(forward_demodulation,[status(thm)],[f4290,f4434]) ).
fof(f4437,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f455,f475]) ).
fof(f4438,plain,
( sQ510_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4437,f2852]) ).
fof(f4439,plain,
sQ510_spl,
inference(contradiction_clause,[status(thm)],[f4438]) ).
fof(f4442,plain,
( sQ384_spl
| ~ sQ510_spl
| h4(e14) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f4262,f4112]) ).
fof(f4445,plain,
h4(e12) = op2(op2(e23,e21),e23),
inference(forward_demodulation,[status(thm)],[f455,f476]) ).
fof(f4446,plain,
h4(e12) = op2(e24,e23),
inference(forward_demodulation,[status(thm)],[f4290,f4445]) ).
fof(f4448,plain,
( ~ sQ523_spl
| e23 = op2(e23,op2(e23,e23)) ),
inference(forward_demodulation,[status(thm)],[f2905,f477]) ).
fof(f4449,plain,
( ~ sQ523_spl
| e23 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f455,f4448]) ).
fof(f4450,plain,
( ~ sQ523_spl
| e23 = e24 ),
inference(forward_demodulation,[status(thm)],[f4290,f4449]) ).
fof(f4451,plain,
( ~ sQ523_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4450,f414]) ).
fof(f4452,plain,
~ sQ523_spl,
inference(contradiction_clause,[status(thm)],[f4451]) ).
fof(f4453,plain,
h4(e14) = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f455,f477]) ).
fof(f4454,plain,
h4(e14) = e24,
inference(forward_demodulation,[status(thm)],[f4290,f4453]) ).
fof(f4455,plain,
( sQ384_spl
| ~ sQ510_spl
| h4(e14) != e24 ),
inference(forward_demodulation,[status(thm)],[f4290,f4442]) ).
fof(f4462,plain,
( sQ522_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f473,f2902]) ).
fof(f4463,plain,
( sQ522_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4462]) ).
fof(f4464,plain,
sQ522_spl,
inference(contradiction_clause,[status(thm)],[f4463]) ).
fof(f4465,plain,
h5(e10) = op2(e24,op2(op2(e24,h5(e11)),e24)),
inference(backward_demodulation,[status(thm)],[f480,f479]) ).
fof(f4466,plain,
h5(e12) = op2(op2(e24,h5(e11)),e24),
inference(forward_demodulation,[status(thm)],[f480,f481]) ).
fof(f4475,plain,
( sQ369_spl
| h4(op1(e10,e11)) != op2(h4(e10),e21) ),
inference(backward_demodulation,[status(thm)],[f4437,f2330]) ).
fof(f4476,plain,
( sQ373_spl
| h4(op1(e11,e10)) != op2(e21,h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f4437,f2342]) ).
fof(f4477,plain,
( sQ374_spl
| h4(op1(e11,e11)) != op2(h4(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f4437,f2345]) ).
fof(f4478,plain,
( sQ376_spl
| h4(op1(e11,e13)) != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f4437,f4217]) ).
fof(f4483,plain,
( sQ374_spl
| h4(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4437,f4477]) ).
fof(f4484,plain,
h5(e12) = op2(h5(e14),e24),
inference(backward_demodulation,[status(thm)],[f4485,f4466]) ).
fof(f4485,plain,
h5(e14) = op2(e24,h5(e11)),
inference(forward_demodulation,[status(thm)],[f480,f482]) ).
fof(f4486,plain,
( sQ357_spl
| h3(op1(e14,e13)) != op2(h3(e14),e22) ),
inference(forward_demodulation,[status(thm)],[f468,f2289]) ).
fof(f4489,plain,
( sQ384_spl
| ~ sQ510_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f4454,f4455]) ).
fof(f4490,plain,
( sQ384_spl
| ~ sQ510_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4489]) ).
fof(f4491,plain,
( sQ384_spl
| ~ sQ510_spl ),
inference(contradiction_clause,[status(thm)],[f4490]) ).
fof(f4496,plain,
( sQ401_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f4454,f2430]) ).
fof(f4497,plain,
( sQ401_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4496]) ).
fof(f4498,plain,
sQ401_spl,
inference(contradiction_clause,[status(thm)],[f4497]) ).
fof(f4503,plain,
( sQ353_spl
| h3(op1(e13,e14)) != op2(e22,h3(e14)) ),
inference(forward_demodulation,[status(thm)],[f468,f2277]) ).
fof(f4504,plain,
( sQ352_spl
| h3(e11) != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f451,f2274]) ).
fof(f4505,plain,
( sQ352_spl
| h3(e11) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f468,f4504]) ).
fof(f4506,plain,
( sQ352_spl
| h3(e11) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f468,f4505]) ).
fof(f4509,plain,
( sQ350_spl
| h3(e14) != op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f4262,f2268]) ).
fof(f4510,plain,
( sQ350_spl
| h3(e14) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f468,f4509]) ).
fof(f4515,plain,
op2(e24,e22) != h5(e11),
inference(forward_demodulation,[status(thm)],[f480,f393]) ).
fof(f4517,plain,
( ~ sQ234_spl
| e24 != op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f1847,f386]) ).
fof(f4522,plain,
op2(e24,e21) != h5(e11),
inference(forward_demodulation,[status(thm)],[f480,f391]) ).
fof(f4524,plain,
( ~ sQ233_spl
| ~ sQ234_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f1847,f1844]) ).
fof(f4525,plain,
( ~ sQ233_spl
| ~ sQ234_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4524,f414]) ).
fof(f4526,plain,
( ~ sQ233_spl
| ~ sQ234_spl ),
inference(contradiction_clause,[status(thm)],[f4525]) ).
fof(f4540,plain,
( sQ253_spl
| h5(e11) != e23 ),
inference(forward_demodulation,[status(thm)],[f480,f1909]) ).
fof(f4548,plain,
( ~ sQ253_spl
| h5(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f480,f1908]) ).
fof(f4549,plain,
( ~ sQ253_spl
| sQ540_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4548,f2978]) ).
fof(f4550,plain,
( ~ sQ253_spl
| sQ540_spl ),
inference(contradiction_clause,[status(thm)],[f4549]) ).
fof(f4552,plain,
( ~ sQ234_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f4517,f1878,f1846]) ).
fof(f4558,plain,
( ~ sQ239_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f4354,f1846,f1862]) ).
fof(f4562,plain,
( ~ sQ249_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f4344,f1846,f1894]) ).
fof(f4565,plain,
( ~ sQ254_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f4313,f1590,f1910]) ).
fof(f4566,plain,
( sQ253_spl
| ~ sQ540_spl ),
inference(split_clause,[status(thm)],[f4540,f2976,f1907]) ).
fof(f4582,plain,
( ~ sQ252_spl
| h5(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f480,f1905]) ).
fof(f4583,plain,
( ~ sQ252_spl
| sQ535_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4582,f2957]) ).
fof(f4584,plain,
( ~ sQ252_spl
| sQ535_spl ),
inference(contradiction_clause,[status(thm)],[f4583]) ).
fof(f4603,plain,
( ~ sQ226_spl
| ~ sQ227_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1825,f1822]) ).
fof(f4604,plain,
( ~ sQ226_spl
| ~ sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4603,f409]) ).
fof(f4605,plain,
( ~ sQ226_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f4604]) ).
fof(f4606,plain,
( ~ sQ251_spl
| h5(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f1902,f480]) ).
fof(f4610,plain,
( sQ323_spl
| h2(op1(e14,e13)) != op2(h2(e14),e21) ),
inference(forward_demodulation,[status(thm)],[f463,f2182]) ).
fof(f4611,plain,
( ~ sQ251_spl
| sQ530_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4606,f2936]) ).
fof(f4612,plain,
( ~ sQ251_spl
| sQ530_spl ),
inference(contradiction_clause,[status(thm)],[f4611]) ).
fof(f4635,plain,
( sQ318_spl
| h2(e11) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f451,f2167]) ).
fof(f4639,plain,
( sQ317_spl
| h2(op1(e13,e12)) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f463,f2164]) ).
fof(f4641,plain,
( sQ316_spl
| h2(e14) != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4262,f2161]) ).
fof(f4642,plain,
( sQ316_spl
| h2(e14) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f463,f4641]) ).
fof(f4687,plain,
( ~ sQ318_spl
| h2(e11) = op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f451,f2166]) ).
fof(f4688,plain,
( ~ sQ318_spl
| h2(e11) = op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f463,f4687]) ).
fof(f4689,plain,
( ~ sQ318_spl
| h2(e11) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f463,f4688]) ).
fof(f4693,plain,
( ~ sQ224_spl
| e21 = e24 ),
inference(forward_demodulation,[status(thm)],[f455,f1815]) ).
fof(f4694,plain,
( ~ sQ224_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4693,f411]) ).
fof(f4695,plain,
~ sQ224_spl,
inference(contradiction_clause,[status(thm)],[f4694]) ).
fof(f4700,plain,
( ~ sQ174_spl
| op2(e21,e22) != e24 ),
inference(backward_demodulation,[status(thm)],[f1655,f362]) ).
fof(f4729,plain,
( ~ sQ238_spl
| ~ sQ235_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1851,f1860]) ).
fof(f4730,plain,
( ~ sQ238_spl
| ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4729,f407]) ).
fof(f4731,plain,
( ~ sQ238_spl
| ~ sQ235_spl ),
inference(contradiction_clause,[status(thm)],[f4730]) ).
fof(f4732,plain,
( sQ289_spl
| h1(op1(e14,e13)) != op2(h1(e14),e20) ),
inference(forward_demodulation,[status(thm)],[f458,f2075]) ).
fof(f4740,plain,
( sQ285_spl
| h1(op1(e13,e14)) != op2(e20,h1(e14)) ),
inference(forward_demodulation,[status(thm)],[f458,f2063]) ).
fof(f4741,plain,
( sQ284_spl
| h1(e11) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f451,f2060]) ).
fof(f4748,plain,
( ~ sQ284_spl
| h1(e11) = op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f451,f2059]) ).
fof(f4749,plain,
( ~ sQ284_spl
| h1(e11) = op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f458,f4748]) ).
fof(f4750,plain,
( ~ sQ284_spl
| h1(e11) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f458,f4749]) ).
fof(f4753,plain,
( ~ sQ150_spl
| op2(e20,e20) != e20 ),
inference(forward_demodulation,[status(thm)],[f1579,f348]) ).
fof(f4756,plain,
( sQ283_spl
| h1(op1(e13,e12)) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f458,f2057]) ).
fof(f4758,plain,
( sQ282_spl
| h1(e14) != op2(h1(e13),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f4262,f2054]) ).
fof(f4759,plain,
( sQ282_spl
| h1(e14) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f458,f4758]) ).
fof(f4769,plain,
( ~ sQ223_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f455,f1812]) ).
fof(f4770,plain,
( ~ sQ223_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4769,f410]) ).
fof(f4771,plain,
~ sQ223_spl,
inference(contradiction_clause,[status(thm)],[f4770]) ).
fof(f4776,plain,
( ~ sQ174_spl
| e24 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1655,f329]) ).
fof(f4778,plain,
( sQ281_spl
| h1(op1(e13,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f458,f2051]) ).
fof(f4783,plain,
( sQ386_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4437,f4244]) ).
fof(f4784,plain,
( sQ386_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f455,f4783]) ).
fof(f4785,plain,
( sQ386_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4784]) ).
fof(f4786,plain,
sQ386_spl,
inference(contradiction_clause,[status(thm)],[f4785]) ).
fof(f4808,plain,
( ~ sQ213_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f4290,f1780]) ).
fof(f4809,plain,
( ~ sQ213_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4808,f414]) ).
fof(f4810,plain,
~ sQ213_spl,
inference(contradiction_clause,[status(thm)],[f4809]) ).
fof(f4818,plain,
( ~ sQ222_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f455,f1809]) ).
fof(f4819,plain,
( ~ sQ222_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4818,f409]) ).
fof(f4820,plain,
~ sQ222_spl,
inference(contradiction_clause,[status(thm)],[f4819]) ).
fof(f4824,plain,
( ~ sQ212_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f4290,f1777]) ).
fof(f4825,plain,
( ~ sQ212_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4824,f413]) ).
fof(f4826,plain,
~ sQ212_spl,
inference(contradiction_clause,[status(thm)],[f4825]) ).
fof(f4842,plain,
( ~ sQ211_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f4290,f1774]) ).
fof(f4843,plain,
( ~ sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4842,f411]) ).
fof(f4844,plain,
~ sQ211_spl,
inference(contradiction_clause,[status(thm)],[f4843]) ).
fof(f4849,plain,
( ~ sQ220_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f455,f1803]) ).
fof(f4850,plain,
( ~ sQ220_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4849,f405]) ).
fof(f4851,plain,
~ sQ220_spl,
inference(contradiction_clause,[status(thm)],[f4850]) ).
fof(f4861,plain,
( ~ sQ210_spl
| e24 = e20 ),
inference(forward_demodulation,[status(thm)],[f4290,f1771]) ).
fof(f4862,plain,
( ~ sQ210_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4861,f408]) ).
fof(f4863,plain,
~ sQ210_spl,
inference(contradiction_clause,[status(thm)],[f4862]) ).
fof(f4881,plain,
( ~ sQ193_spl
| ~ sQ194_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f1719,f1716]) ).
fof(f4882,plain,
( ~ sQ193_spl
| ~ sQ194_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4881,f414]) ).
fof(f4883,plain,
( ~ sQ193_spl
| ~ sQ194_spl ),
inference(contradiction_clause,[status(thm)],[f4882]) ).
fof(f4884,plain,
( ~ sQ168_spl
| ~ sQ169_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f1639,f1636]) ).
fof(f4885,plain,
( ~ sQ168_spl
| ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4884,f414]) ).
fof(f4886,plain,
( ~ sQ168_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f4885]) ).
fof(f4918,plain,
( sQ425_spl
| ~ sQ434_spl
| h5(op1(e14,e13)) != op2(h5(e14),e24) ),
inference(forward_demodulation,[status(thm)],[f2532,f2503]) ).
fof(f4922,plain,
( sQ164_spl
| ~ sQ318_spl
| h2(e11) != e24 ),
inference(forward_demodulation,[status(thm)],[f4689,f1624]) ).
fof(f4923,plain,
( ~ sQ330_spl
| sQ164_spl
| ~ sQ318_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2203,f4922]) ).
fof(f4924,plain,
( ~ sQ330_spl
| sQ164_spl
| ~ sQ318_spl ),
inference(contradiction_clause,[status(thm)],[f4923]) ).
fof(f4927,plain,
( ~ sQ163_spl
| ~ sQ318_spl
| h2(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f4689,f1620]) ).
fof(f4928,plain,
( ~ sQ163_spl
| ~ sQ318_spl
| sQ480_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4927,f2726]) ).
fof(f4929,plain,
( ~ sQ163_spl
| ~ sQ318_spl
| sQ480_spl ),
inference(contradiction_clause,[status(thm)],[f4928]) ).
fof(f4934,plain,
( sQ318_spl
| h2(e11) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f463,f4635]) ).
fof(f4935,plain,
( sQ318_spl
| h2(e11) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f463,f4934]) ).
fof(f4943,plain,
( sQ374_spl
| ~ sQ162_spl
| h4(op1(e11,e11)) != e22 ),
inference(forward_demodulation,[status(thm)],[f1617,f4483]) ).
fof(f4948,plain,
( ~ sQ136_spl
| ~ sQ137_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1537,f1534]) ).
fof(f4949,plain,
( ~ sQ136_spl
| ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4948,f409]) ).
fof(f4950,plain,
( ~ sQ136_spl
| ~ sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f4949]) ).
fof(f4961,plain,
( ~ sQ156_spl
| ~ sQ157_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1601,f1598]) ).
fof(f4962,plain,
( ~ sQ156_spl
| ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4961,f409]) ).
fof(f4963,plain,
( ~ sQ156_spl
| ~ sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f4962]) ).
fof(f4970,plain,
( sQ284_spl
| h1(e11) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f458,f4741]) ).
fof(f4971,plain,
( sQ284_spl
| h1(e11) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f458,f4970]) ).
fof(f4990,plain,
( ~ sQ130_spl
| ~ sQ131_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1518,f1515]) ).
fof(f4991,plain,
( ~ sQ130_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4990,f405]) ).
fof(f4992,plain,
( ~ sQ130_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f4991]) ).
fof(f5000,plain,
( ~ sQ124_spl
| op1(e14,e10) != e14 ),
inference(backward_demodulation,[status(thm)],[f1445,f288]) ).
fof(f5013,plain,
( ~ sQ99_spl
| op1(e10,e14) != e14 ),
inference(backward_demodulation,[status(thm)],[f1365,f237]) ).
fof(f5017,plain,
( ~ sQ74_spl
| op1(e12,e13) != e14 ),
inference(backward_demodulation,[status(thm)],[f1285,f274]) ).
fof(f5025,plain,
( sQ420_spl
| h5(e11) != op2(h5(e13),h5(e13)) ),
inference(forward_demodulation,[status(thm)],[f451,f2488]) ).
fof(f5035,plain,
( ~ sQ49_spl
| op1(e10,e14) != e14 ),
inference(backward_demodulation,[status(thm)],[f1205,f235]) ).
fof(f5039,plain,
( ~ sQ24_spl
| op1(e10,e13) != e14 ),
inference(backward_demodulation,[status(thm)],[f1125,f254]) ).
fof(f5069,plain,
( ~ sQ104_spl
| op1(e13,e10) != e14 ),
inference(backward_demodulation,[status(thm)],[f1381,f204]) ).
fof(f5070,plain,
( ~ sQ104_spl
| op1(e12,e10) != e14 ),
inference(backward_demodulation,[status(thm)],[f1381,f203]) ).
fof(f5071,plain,
( ~ sQ104_spl
| op1(e11,e10) != e14 ),
inference(backward_demodulation,[status(thm)],[f1381,f201]) ).
fof(f5072,plain,
( ~ sQ104_spl
| op1(e10,e10) != e14 ),
inference(backward_demodulation,[status(thm)],[f1381,f198]) ).
fof(f5099,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f1125,f1122]) ).
fof(f5100,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5099,f404]) ).
fof(f5101,plain,
( ~ sQ23_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f5100]) ).
fof(f5112,plain,
( ~ sQ104_spl
| e14 != op1(e14,e12) ),
inference(forward_demodulation,[status(thm)],[f1381,f286]) ).
fof(f5117,plain,
( ~ sQ103_spl
| ~ sQ104_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f1381,f1378]) ).
fof(f5118,plain,
( ~ sQ103_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5117,f404]) ).
fof(f5119,plain,
( ~ sQ103_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f5118]) ).
fof(f5136,plain,
( ~ sQ116_spl
| ~ sQ117_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1423,f1420]) ).
fof(f5137,plain,
( ~ sQ116_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5136,f399]) ).
fof(f5138,plain,
( ~ sQ116_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f5137]) ).
fof(f5139,plain,
( sQ415_spl
| ~ sQ434_spl
| h5(op1(e12,e13)) != op2(h5(e12),e24) ),
inference(forward_demodulation,[status(thm)],[f2532,f2473]) ).
fof(f5149,plain,
( ~ sQ94_spl
| e11 = e14 ),
inference(forward_demodulation,[status(thm)],[f451,f1349]) ).
fof(f5150,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5149,f401]) ).
fof(f5151,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f5150]) ).
fof(f5154,plain,
( ~ sQ69_spl
| op1(e12,e12) != e14 ),
inference(backward_demodulation,[status(thm)],[f1269,f272]) ).
fof(f5161,plain,
( ~ sQ44_spl
| op1(e11,e12) != e14 ),
inference(backward_demodulation,[status(thm)],[f1189,f262]) ).
fof(f5181,plain,
( ~ sQ93_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f451,f1346]) ).
fof(f5182,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5181,f400]) ).
fof(f5183,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f5182]) ).
fof(f5188,plain,
( ~ sQ44_spl
| e14 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f1189,f229]) ).
fof(f5190,plain,
( ~ sQ43_spl
| ~ sQ44_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f1189,f1186]) ).
fof(f5191,plain,
( ~ sQ43_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5190,f404]) ).
fof(f5192,plain,
( ~ sQ43_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f5191]) ).
fof(f5201,plain,
( ~ sQ83_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f4262,f1314]) ).
fof(f5202,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5201,f404]) ).
fof(f5203,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f5202]) ).
fof(f5208,plain,
( ~ sQ92_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f451,f1343]) ).
fof(f5209,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5208,f399]) ).
fof(f5210,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f5209]) ).
fof(f5215,plain,
( ~ sQ82_spl
| e14 = e12 ),
inference(forward_demodulation,[status(thm)],[f4262,f1311]) ).
fof(f5216,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5215,f403]) ).
fof(f5217,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f5216]) ).
fof(f5231,plain,
( ~ sQ81_spl
| e14 = e11 ),
inference(forward_demodulation,[status(thm)],[f4262,f1308]) ).
fof(f5232,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5231,f401]) ).
fof(f5233,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f5232]) ).
fof(f5238,plain,
( ~ sQ90_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f451,f1337]) ).
fof(f5239,plain,
( ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5238,f395]) ).
fof(f5240,plain,
~ sQ90_spl,
inference(contradiction_clause,[status(thm)],[f5239]) ).
fof(f5244,plain,
( ~ sQ80_spl
| e14 = e10 ),
inference(forward_demodulation,[status(thm)],[f4262,f1305]) ).
fof(f5245,plain,
( ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5244,f398]) ).
fof(f5246,plain,
~ sQ80_spl,
inference(contradiction_clause,[status(thm)],[f5245]) ).
fof(f5254,plain,
( ~ sQ39_spl
| op1(e11,e11) != e14 ),
inference(backward_demodulation,[status(thm)],[f1173,f259]) ).
fof(f5267,plain,
( ~ sQ63_spl
| ~ sQ64_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f1253,f1250]) ).
fof(f5268,plain,
( ~ sQ63_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5267,f404]) ).
fof(f5269,plain,
( ~ sQ63_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f5268]) ).
fof(f5274,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f1173,f1170]) ).
fof(f5275,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5274,f404]) ).
fof(f5276,plain,
( ~ sQ38_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f5275]) ).
fof(f5281,plain,
( ~ sQ89_spl
| ~ sQ85_spl
| e10 = e14 ),
inference(forward_demodulation,[status(thm)],[f1321,f1333]) ).
fof(f5282,plain,
( ~ sQ89_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5281,f398]) ).
fof(f5283,plain,
( ~ sQ89_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f5282]) ).
fof(f5324,plain,
( ~ sQ104_spl
| ~ sQ100_spl
| e10 = e14 ),
inference(forward_demodulation,[status(thm)],[f1369,f1381]) ).
fof(f5325,plain,
( ~ sQ104_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5324,f398]) ).
fof(f5326,plain,
( ~ sQ104_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f5325]) ).
fof(f5328,plain,
( ~ sQ104_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f5070,f1220,f1380]) ).
fof(f5330,plain,
( ~ sQ44_spl
| ~ sQ40_spl
| e10 = e14 ),
inference(forward_demodulation,[status(thm)],[f1177,f1189]) ).
fof(f5331,plain,
( ~ sQ44_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5330,f398]) ).
fof(f5332,plain,
( ~ sQ44_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f5331]) ).
fof(f5333,plain,
( ~ sQ44_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f5161,f1172,f1188]) ).
fof(f5335,plain,
( ~ sQ44_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f5188,f1268,f1188]) ).
fof(f5339,plain,
( ~ sQ49_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5035,f1124,f1204]) ).
fof(f5354,plain,
( ~ sQ124_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f5000,f1380,f1444]) ).
fof(f5370,plain,
( ~ sQ69_spl
| ~ sQ65_spl
| e10 = e14 ),
inference(forward_demodulation,[status(thm)],[f1257,f1269]) ).
fof(f5371,plain,
( ~ sQ69_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5370,f398]) ).
fof(f5372,plain,
( ~ sQ69_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f5371]) ).
fof(f5376,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| e12 = e14 ),
inference(forward_demodulation,[status(thm)],[f1167,f1173]) ).
fof(f5377,plain,
( ~ sQ39_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5376,f403]) ).
fof(f5378,plain,
( ~ sQ39_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f5377]) ).
fof(f5386,plain,
( ~ sQ104_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f5112,f1412,f1380]) ).
fof(f5397,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| e12 = e14 ),
inference(forward_demodulation,[status(thm)],[f1087,f1093]) ).
fof(f5398,plain,
( ~ sQ14_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5397,f403]) ).
fof(f5399,plain,
( ~ sQ14_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f5398]) ).
fof(f5400,plain,
( ~ sQ51_spl
| ~ sQ52_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1215,f1212]) ).
fof(f5401,plain,
( ~ sQ51_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5400,f399]) ).
fof(f5402,plain,
( ~ sQ51_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f5401]) ).
fof(f5421,plain,
( ~ sQ69_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f5154,f1252,f1268]) ).
fof(f5453,plain,
( ~ sQ31_spl
| ~ sQ32_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1151,f1148]) ).
fof(f5454,plain,
( ~ sQ31_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5453,f399]) ).
fof(f5455,plain,
( ~ sQ31_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f5454]) ).
fof(f5456,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1071,f1068]) ).
fof(f5457,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5456,f399]) ).
fof(f5458,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f5457]) ).
fof(f5459,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1135,f1132]) ).
fof(f5460,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5459,f399]) ).
fof(f5461,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f5460]) ).
fof(f5474,plain,
( ~ sQ104_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f5069,f1300,f1380]) ).
fof(f5497,plain,
( ~ sQ39_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f5254,f1156,f1172]) ).
fof(f5498,plain,
( ~ sQ74_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f5017,f1268,f1284]) ).
fof(f5504,plain,
( ~ sQ255_spl
| op2(e24,e20) = e24 ),
inference(forward_demodulation,[status(thm)],[f1915,f143]) ).
fof(f5505,plain,
( ~ sQ255_spl
| ~ sQ230_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f1835,f5504]) ).
fof(f5506,plain,
( ~ sQ255_spl
| ~ sQ230_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5505,f408]) ).
fof(f5507,plain,
( ~ sQ255_spl
| ~ sQ230_spl ),
inference(contradiction_clause,[status(thm)],[f5506]) ).
fof(f5515,plain,
( ~ sQ256_spl
| op2(e23,e21) = e23 ),
inference(forward_demodulation,[status(thm)],[f1918,f141]) ).
fof(f5516,plain,
( ~ sQ256_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f4290,f5515]) ).
fof(f5517,plain,
( ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5516,f414]) ).
fof(f5518,plain,
~ sQ256_spl,
inference(contradiction_clause,[status(thm)],[f5517]) ).
fof(f5524,plain,
( sQ420_spl
| ~ sQ434_spl
| h5(e11) != op2(e24,h5(e13)) ),
inference(forward_demodulation,[status(thm)],[f2532,f5025]) ).
fof(f5525,plain,
( sQ420_spl
| ~ sQ434_spl
| h5(e11) != op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f2532,f5524]) ).
fof(f5530,plain,
( ~ sQ204_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f4324,f1590,f1750]) ).
fof(f5554,plain,
( ~ sQ174_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f4776,f1734,f1654]) ).
fof(f5555,plain,
( ~ sQ284_spl
| ~ sQ296_spl
| e24 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2096,f4750]) ).
fof(f5567,plain,
( ~ sQ154_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f4340,f1574,f1590]) ).
fof(f5607,plain,
( sQ391_spl
| h4(op1(e14,e13)) != op2(e24,e23) ),
inference(forward_demodulation,[status(thm)],[f4454,f4044]) ).
fof(f5608,plain,
( ~ sQ258_spl
| op2(e23,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f1924,f140]) ).
fof(f5609,plain,
( ~ sQ258_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f455,f5608]) ).
fof(f5610,plain,
( ~ sQ258_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5609,f410]) ).
fof(f5611,plain,
~ sQ258_spl,
inference(contradiction_clause,[status(thm)],[f5610]) ).
fof(f5614,plain,
( ~ sQ259_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3706,f1891,f1926]) ).
fof(f5620,plain,
( ~ sQ420_spl
| h5(e11) = op2(h5(e13),h5(e13)) ),
inference(forward_demodulation,[status(thm)],[f451,f2487]) ).
fof(f5624,plain,
( ~ sQ255_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f5504,f1846,f1914]) ).
fof(f5639,plain,
( ~ sQ234_spl
| ~ sQ209_spl ),
inference(split_clause,[status(thm)],[f4357,f1766,f1846]) ).
fof(f5640,plain,
( ~ sQ420_spl
| ~ sQ434_spl
| h5(e11) = op2(e24,h5(e13)) ),
inference(forward_demodulation,[status(thm)],[f2532,f5620]) ).
fof(f5641,plain,
( ~ sQ420_spl
| ~ sQ434_spl
| h5(e11) = op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f2532,f5640]) ).
fof(f5653,plain,
( ~ sQ154_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f4341,f1558,f1590]) ).
fof(f5657,plain,
( sQ392_spl
| h4(op1(e14,e14)) != op2(e24,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f4454,f2399]) ).
fof(f5658,plain,
( sQ392_spl
| h4(op1(e14,e14)) != op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f4454,f5657]) ).
fof(f5670,plain,
( sQ391_spl
| h4(e12) != op2(e24,e23) ),
inference(backward_demodulation,[status(thm)],[f4254,f5607]) ).
fof(f5675,plain,
( ~ sQ104_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f5072,f1060,f1380]) ).
fof(f5676,plain,
( ~ sQ104_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f5071,f1140,f1380]) ).
fof(f5681,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1356,f4245]) ).
fof(f5682,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f5681]) ).
fof(f5687,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1324,f4246]) ).
fof(f5688,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f5687]) ).
fof(f5689,plain,
( sQ117_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f4254,f1424]) ).
fof(f5690,plain,
( sQ117_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5689]) ).
fof(f5691,plain,
sQ117_spl,
inference(contradiction_clause,[status(thm)],[f5690]) ).
fof(f5692,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1100,f4252]) ).
fof(f5693,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f5692]) ).
fof(f5696,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1260,f4250]) ).
fof(f5697,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f5696]) ).
fof(f5698,plain,
( sQ389_spl
| h4(op1(e14,e11)) != op2(e24,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f4454,f2390]) ).
fof(f5699,plain,
( sQ389_spl
| h4(op1(e14,e11)) != op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f4437,f5698]) ).
fof(f5700,plain,
( sQ388_spl
| h4(op1(e14,e10)) != op2(e24,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f4454,f2387]) ).
fof(f5745,plain,
( ~ sQ255_spl
| op2(e20,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f1915,f134]) ).
fof(f5746,plain,
( sQ388_spl
| ~ sQ125_spl
| h4(e14) != op2(e24,h4(e10)) ),
inference(backward_demodulation,[status(thm)],[f5748,f5700]) ).
fof(f5748,plain,
( ~ sQ125_spl
| op1(e14,e10) = e14 ),
inference(forward_demodulation,[status(thm)],[f1449,f57]) ).
fof(f5749,plain,
( sQ388_spl
| ~ sQ125_spl
| e24 != op2(e24,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f4454,f5746]) ).
fof(f5751,plain,
( ~ sQ125_spl
| op1(e10,e14) = e14 ),
inference(forward_demodulation,[status(thm)],[f1449,f56]) ).
fof(f5752,plain,
( ~ sQ125_spl
| op1(e13,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f1449,f55]) ).
fof(f5754,plain,
( ~ sQ677_spl
| ~ sQ125_spl
| ~ sQ597_spl
| op1(e13,e13) = e10 ),
inference(backward_demodulation,[status(thm)],[f5758,f3584]) ).
fof(f5758,plain,
( ~ sQ125_spl
| ~ sQ597_spl
| op1(e10,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f3223,f5752]) ).
fof(f5759,plain,
( ~ sQ677_spl
| ~ sQ125_spl
| ~ sQ597_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f5754,f1336,f3222,f1448,f3583]) ).
fof(f5761,plain,
e10 = op1(e13,op1(e14,e13)),
inference(forward_demodulation,[status(thm)],[f4262,f4243]) ).
fof(f5765,plain,
e10 = op1(e13,e12),
inference(forward_demodulation,[status(thm)],[f4254,f5761]) ).
fof(f5772,plain,
e20 = op2(e23,op2(e24,e23)),
inference(forward_demodulation,[status(thm)],[f4290,f4272]) ).
fof(f5784,plain,
( ~ sQ284_spl
| ~ sQ296_spl
| ~ sQ255_spl
| e24 = e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f5555]) ).
fof(f5785,plain,
( ~ sQ284_spl
| ~ sQ296_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5784,f408]) ).
fof(f5786,plain,
( ~ sQ284_spl
| ~ sQ296_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f5785]) ).
fof(f5787,plain,
( sQ284_spl
| ~ sQ255_spl
| h1(e11) != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f4971]) ).
fof(f5791,plain,
( ~ sQ216_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1790,f4274]) ).
fof(f5792,plain,
~ sQ216_spl,
inference(contradiction_clause,[status(thm)],[f5791]) ).
fof(f5800,plain,
( ~ sQ601_spl
| op2(e20,e23) != e21 ),
inference(forward_demodulation,[status(thm)],[f3240,f4276]) ).
fof(f5807,plain,
( sQ375_spl
| h4(op1(e11,e12)) != op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f4437,f2348]) ).
fof(f5816,plain,
e20 = op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f4282,f5772]) ).
fof(f5821,plain,
( ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1646,f4279]) ).
fof(f5822,plain,
~ sQ171_spl,
inference(contradiction_clause,[status(thm)],[f5821]) ).
fof(f5824,plain,
( ~ sQ627_spl
| op2(e21,e22) != e24 ),
inference(backward_demodulation,[status(thm)],[f3358,f4287]) ).
fof(f5825,plain,
( ~ sQ627_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f5824,f1638,f3357]) ).
fof(f5826,plain,
( ~ sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1623,f4288]) ).
fof(f5827,plain,
~ sQ164_spl,
inference(contradiction_clause,[status(thm)],[f5826]) ).
fof(f5830,plain,
( ~ sQ150_spl
| ~ sQ255_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f4753]) ).
fof(f5831,plain,
( ~ sQ150_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5830]) ).
fof(f5832,plain,
( ~ sQ150_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f5831]) ).
fof(f5835,plain,
( ~ sQ146_spl
| ~ sQ601_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1566,f5800]) ).
fof(f5836,plain,
( ~ sQ146_spl
| ~ sQ601_spl ),
inference(contradiction_clause,[status(thm)],[f5835]) ).
fof(f5850,plain,
( sQ372_spl
| h4(op1(e10,e14)) != op2(h4(e10),e24) ),
inference(forward_demodulation,[status(thm)],[f4454,f2339]) ).
fof(f5855,plain,
( ~ sQ132_spl
| ~ sQ255_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f5745,f1521]) ).
fof(f5856,plain,
( ~ sQ132_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5855,f406]) ).
fof(f5857,plain,
( ~ sQ132_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f5856]) ).
fof(f5858,plain,
( ~ sQ133_spl
| ~ sQ255_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f5745,f1524]) ).
fof(f5859,plain,
( ~ sQ133_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5858,f407]) ).
fof(f5860,plain,
( ~ sQ133_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f5859]) ).
fof(f5872,plain,
( ~ sQ672_spl
| ~ sQ21_spl
| op1(e11,e10) = e14 ),
inference(backward_demodulation,[status(thm)],[f1116,f3560]) ).
fof(f5879,plain,
( ~ sQ593_spl
| op2(e21,e23) = e24 ),
inference(forward_demodulation,[status(thm)],[f4290,f3206]) ).
fof(f5883,plain,
( sQ593_spl
| op2(e21,e23) != e24 ),
inference(forward_demodulation,[status(thm)],[f4290,f3207]) ).
fof(f5884,plain,
( sQ594_spl
| op2(e24,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f4290,f3211]) ).
fof(f5885,plain,
( sQ377_spl
| h4(op1(e11,e14)) != op2(e21,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f4437,f2354]) ).
fof(f5886,plain,
( sQ377_spl
| h4(op1(e11,e14)) != op2(e21,e24) ),
inference(forward_demodulation,[status(thm)],[f4454,f5885]) ).
fof(f5893,plain,
( ~ sQ120_spl
| ~ sQ123_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f1442,f1433]) ).
fof(f5894,plain,
( ~ sQ120_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5893,f397]) ).
fof(f5895,plain,
( ~ sQ120_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f5894]) ).
fof(f5904,plain,
( ~ sQ589_spl
| op1(e11,e13) = e14 ),
inference(forward_demodulation,[status(thm)],[f4262,f3189]) ).
fof(f5909,plain,
( sQ589_spl
| op1(e11,e13) != e14 ),
inference(forward_demodulation,[status(thm)],[f4262,f3190]) ).
fof(f5910,plain,
( sQ590_spl
| op1(e14,e11) != e13 ),
inference(forward_demodulation,[status(thm)],[f4262,f3194]) ).
fof(f5912,plain,
( sQ387_spl
| h4(op1(e13,e14)) != op2(e23,e24) ),
inference(forward_demodulation,[status(thm)],[f4454,f4064]) ).
fof(f5924,plain,
( ~ sQ228_spl
| op2(e23,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1828,f378]) ).
fof(f5930,plain,
( ~ sQ684_spl
| ~ sQ10_spl
| op1(e10,e10) = e12 ),
inference(backward_demodulation,[status(thm)],[f1081,f3616]) ).
fof(f5932,plain,
( ~ sQ684_spl
| ~ sQ10_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f5930,f1054,f1080,f3615]) ).
fof(f5952,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1049,f1058]) ).
fof(f5953,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5952,f397]) ).
fof(f5954,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f5953]) ).
fof(f5955,plain,
( sQ590_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f5910,f1393,f3192]) ).
fof(f5956,plain,
( ~ sQ672_spl
| ~ sQ21_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f5872,f1140,f1115,f3559]) ).
fof(f5961,plain,
( ~ sQ99_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5013,f1124,f1364]) ).
fof(f5966,plain,
( sQ85_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f5765,f1322]) ).
fof(f5967,plain,
( sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5966]) ).
fof(f5968,plain,
sQ85_spl,
inference(contradiction_clause,[status(thm)],[f5967]) ).
fof(f5969,plain,
( ~ sQ88_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f5765,f1330]) ).
fof(f5970,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5969,f397]) ).
fof(f5971,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f5970]) ).
fof(f5976,plain,
( ~ sQ154_spl
| ~ sQ151_spl
| e21 = e24 ),
inference(forward_demodulation,[status(thm)],[f1582,f1591]) ).
fof(f5977,plain,
( ~ sQ154_spl
| ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5976,f411]) ).
fof(f5978,plain,
( ~ sQ154_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f5977]) ).
fof(f5997,plain,
( ~ sQ118_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f4254,f1426]) ).
fof(f5998,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5997,f402]) ).
fof(f5999,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f5998]) ).
fof(f6000,plain,
( ~ sQ115_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f4254,f1417]) ).
fof(f6001,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6000,f396]) ).
fof(f6002,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f6001]) ).
fof(f6015,plain,
( ~ sQ18_spl
| ~ sQ15_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1097,f1106]) ).
fof(f6016,plain,
( ~ sQ18_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6015,f397]) ).
fof(f6017,plain,
( ~ sQ18_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f6016]) ).
fof(f6019,plain,
( ~ sQ255_spl
| op2(e24,e20) = e24 ),
inference(forward_demodulation,[status(thm)],[f1915,f143]) ).
fof(f6020,plain,
( ~ sQ255_spl
| op2(e23,e20) = e23 ),
inference(forward_demodulation,[status(thm)],[f1915,f141]) ).
fof(f6031,plain,
( ~ sQ134_spl
| ~ sQ255_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f5745,f1527]) ).
fof(f6032,plain,
( ~ sQ134_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6031,f408]) ).
fof(f6033,plain,
( ~ sQ134_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6032]) ).
fof(f6035,plain,
( ~ sQ203_spl
| op2(e22,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f1748,f371]) ).
fof(f6037,plain,
( ~ sQ255_spl
| op2(e20,e24) = e24 ),
inference(forward_demodulation,[status(thm)],[f1915,f142]) ).
fof(f6039,plain,
( ~ sQ255_spl
| op2(e20,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f1915,f140]) ).
fof(f6041,plain,
( ~ sQ231_spl
| ~ sQ255_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f6019,f1838]) ).
fof(f6042,plain,
( ~ sQ231_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6041,f411]) ).
fof(f6043,plain,
( ~ sQ231_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6042]) ).
fof(f6044,plain,
( ~ sQ232_spl
| ~ sQ255_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f6019,f1841]) ).
fof(f6045,plain,
( ~ sQ232_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6044,f413]) ).
fof(f6046,plain,
( ~ sQ232_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6045]) ).
fof(f6056,plain,
( ~ sQ145_spl
| ~ sQ255_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f6039,f1563]) ).
fof(f6057,plain,
( ~ sQ145_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6056,f407]) ).
fof(f6058,plain,
( ~ sQ145_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6057]) ).
fof(f6064,plain,
( ~ sQ203_spl
| op2(e21,e24) != e23 ),
inference(forward_demodulation,[status(thm)],[f1748,f339]) ).
fof(f6074,plain,
( ~ sQ585_spl
| e24 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f3172,f4284]) ).
fof(f6076,plain,
( ~ sQ585_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f6074,f1734,f3171]) ).
fof(f6077,plain,
( ~ sQ612_spl
| ~ sQ69_spl
| op1(e14,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f1269,f3290]) ).
fof(f6078,plain,
( ~ sQ612_spl
| ~ sQ69_spl
| ~ sQ111_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1404,f6077]) ).
fof(f6079,plain,
( ~ sQ612_spl
| ~ sQ69_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6078,f400]) ).
fof(f6080,plain,
( ~ sQ612_spl
| ~ sQ69_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f6079]) ).
fof(f6081,plain,
( sQ612_spl
| ~ sQ69_spl
| op1(e14,e12) != e13 ),
inference(forward_demodulation,[status(thm)],[f1269,f3291]) ).
fof(f6086,plain,
( ~ sQ73_spl
| ~ sQ71_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1276,f1282]) ).
fof(f6087,plain,
( ~ sQ73_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6086,f400]) ).
fof(f6088,plain,
( ~ sQ73_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f6087]) ).
fof(f6103,plain,
( ~ sQ87_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f5765,f1327]) ).
fof(f6104,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6103,f396]) ).
fof(f6105,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f6104]) ).
fof(f6110,plain,
( ~ sQ581_spl
| ~ sQ69_spl
| e14 = op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f1269,f3155]) ).
fof(f6111,plain,
( ~ sQ581_spl
| ~ sQ69_spl
| e14 = e10 ),
inference(forward_demodulation,[status(thm)],[f5765,f6110]) ).
fof(f6112,plain,
( ~ sQ581_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6111,f398]) ).
fof(f6113,plain,
( ~ sQ581_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f6112]) ).
fof(f6124,plain,
( ~ sQ205_spl
| ~ sQ255_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f6020,f1755]) ).
fof(f6125,plain,
( ~ sQ205_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6124,f407]) ).
fof(f6126,plain,
( ~ sQ205_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6125]) ).
fof(f6131,plain,
( ~ sQ255_spl
| op2(e20,e21) = e21 ),
inference(forward_demodulation,[status(thm)],[f1915,f136]) ).
fof(f6133,plain,
( ~ sQ668_spl
| ~ sQ255_spl
| op2(e21,e20) = e21 ),
inference(backward_demodulation,[status(thm)],[f6135,f3542]) ).
fof(f6134,plain,
( ~ sQ669_spl
| ~ sQ255_spl
| op2(e21,e21) = e20 ),
inference(backward_demodulation,[status(thm)],[f6135,f3546]) ).
fof(f6135,plain,
( ~ sQ255_spl
| op2(e21,e20) = e21 ),
inference(forward_demodulation,[status(thm)],[f1915,f137]) ).
fof(f6136,plain,
( ~ sQ668_spl
| ~ sQ255_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f6133,f1597,f1914,f3541]) ).
fof(f6137,plain,
( sQ668_spl
| ~ sQ255_spl
| op2(e21,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f6135,f3543]) ).
fof(f6138,plain,
( sQ668_spl
| ~ sQ255_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6135,f6137]) ).
fof(f6139,plain,
( sQ668_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6138]) ).
fof(f6140,plain,
( sQ668_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6139]) ).
fof(f6142,plain,
( ~ sQ255_spl
| op2(e20,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f1915,f138]) ).
fof(f6144,plain,
( ~ sQ637_spl
| ~ sQ255_spl
| op2(e22,e22) = e20 ),
inference(backward_demodulation,[status(thm)],[f6145,f3400]) ).
fof(f6145,plain,
( ~ sQ255_spl
| op2(e22,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f1915,f139]) ).
fof(f6146,plain,
( ~ sQ637_spl
| ~ sQ255_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f6144,f1706,f1914,f3399]) ).
fof(f6163,plain,
( ~ sQ255_spl
| e21 != op2(e21,e24) ),
inference(forward_demodulation,[status(thm)],[f6135,f358]) ).
fof(f6164,plain,
( ~ sQ255_spl
| e24 != op2(e21,e24) ),
inference(forward_demodulation,[status(thm)],[f6037,f335]) ).
fof(f6170,plain,
( ~ sQ605_spl
| ~ sQ70_spl
| op1(e10,e14) = e12 ),
inference(forward_demodulation,[status(thm)],[f1273,f3258]) ).
fof(f6171,plain,
( ~ sQ545_spl
| ~ sQ70_spl
| e10 = op1(e14,e12) ),
inference(forward_demodulation,[status(thm)],[f1273,f2997]) ).
fof(f6172,plain,
( ~ sQ603_spl
| ~ sQ255_spl
| op2(e23,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f6020,f3248]) ).
fof(f6173,plain,
( ~ sQ603_spl
| ~ sQ255_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f455,f6172]) ).
fof(f6174,plain,
( ~ sQ603_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6173,f405]) ).
fof(f6175,plain,
( ~ sQ603_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6174]) ).
fof(f6182,plain,
( ~ sQ680_spl
| ~ sQ255_spl
| op2(e23,e23) = e20 ),
inference(forward_demodulation,[status(thm)],[f6039,f3598]) ).
fof(f6183,plain,
( ~ sQ680_spl
| ~ sQ255_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f455,f6182]) ).
fof(f6184,plain,
( ~ sQ680_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6183,f405]) ).
fof(f6185,plain,
( ~ sQ680_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6184]) ).
fof(f6189,plain,
( ~ sQ183_spl
| ~ sQ255_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f6145,f1684]) ).
fof(f6190,plain,
( ~ sQ183_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6189,f412]) ).
fof(f6191,plain,
( ~ sQ183_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6190]) ).
fof(f6192,plain,
( ~ sQ179_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1671,f6164]) ).
fof(f6193,plain,
( ~ sQ179_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6192]) ).
fof(f6194,plain,
( ~ sQ184_spl
| ~ sQ255_spl
| e22 = e24 ),
inference(forward_demodulation,[status(thm)],[f6145,f1687]) ).
fof(f6195,plain,
( ~ sQ184_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6194,f413]) ).
fof(f6196,plain,
( ~ sQ184_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6195]) ).
fof(f6201,plain,
( ~ sQ178_spl
| ~ sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1668,f6064]) ).
fof(f6202,plain,
( ~ sQ178_spl
| ~ sQ203_spl ),
inference(contradiction_clause,[status(thm)],[f6201]) ).
fof(f6203,plain,
( ~ sQ159_spl
| ~ sQ255_spl
| e21 = e24 ),
inference(forward_demodulation,[status(thm)],[f6135,f1607]) ).
fof(f6204,plain,
( ~ sQ159_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6203,f411]) ).
fof(f6205,plain,
( ~ sQ159_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6204]) ).
fof(f6207,plain,
( ~ sQ143_spl
| ~ sQ255_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f6142,f1556]) ).
fof(f6208,plain,
( ~ sQ143_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6207,f412]) ).
fof(f6209,plain,
( ~ sQ143_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6208]) ).
fof(f6216,plain,
( ~ sQ255_spl
| e22 != op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f6145,f368]) ).
fof(f6217,plain,
( ~ sQ248_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f4282,f1892]) ).
fof(f6218,plain,
( ~ sQ248_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6217,f412]) ).
fof(f6219,plain,
~ sQ248_spl,
inference(contradiction_clause,[status(thm)],[f6218]) ).
fof(f6221,plain,
( ~ sQ158_spl
| ~ sQ255_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f6135,f1604]) ).
fof(f6222,plain,
( ~ sQ158_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6221,f410]) ).
fof(f6223,plain,
( ~ sQ158_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6222]) ).
fof(f6224,plain,
( ~ sQ155_spl
| ~ sQ255_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f6135,f1595]) ).
fof(f6225,plain,
( ~ sQ155_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6224,f405]) ).
fof(f6226,plain,
( ~ sQ155_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6225]) ).
fof(f6227,plain,
( ~ sQ141_spl
| ~ sQ255_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f6142,f1550]) ).
fof(f6228,plain,
( ~ sQ141_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6227,f409]) ).
fof(f6229,plain,
( ~ sQ141_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6228]) ).
fof(f6231,plain,
( ~ sQ162_spl
| ~ sQ160_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1611,f1617]) ).
fof(f6232,plain,
( ~ sQ162_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6231,f406]) ).
fof(f6233,plain,
( ~ sQ162_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f6232]) ).
fof(f6234,plain,
( sQ154_spl
| ~ sQ255_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f6037,f1592]) ).
fof(f6235,plain,
( sQ154_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6234]) ).
fof(f6236,plain,
( sQ154_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6235]) ).
fof(f6237,plain,
( ~ sQ174_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f4700,f1638,f1654]) ).
fof(f6240,plain,
( sQ442_spl
| op2(e22,e23) != e24 ),
inference(forward_demodulation,[status(thm)],[f4282,f2565]) ).
fof(f6241,plain,
( ~ sQ692_spl
| ~ sQ255_spl
| op2(e21,e21) = e20 ),
inference(forward_demodulation,[status(thm)],[f6131,f3654]) ).
fof(f6242,plain,
( sQ601_spl
| ~ sQ255_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f6039,f3241]) ).
fof(f6243,plain,
( sQ601_spl
| ~ sQ255_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f6020,f6242]) ).
fof(f6244,plain,
( sQ601_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6243]) ).
fof(f6245,plain,
( sQ601_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6244]) ).
fof(f6246,plain,
( ~ sQ180_spl
| ~ sQ255_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f6145,f1675]) ).
fof(f6247,plain,
( ~ sQ180_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6246,f406]) ).
fof(f6248,plain,
( ~ sQ180_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6247]) ).
fof(f6252,plain,
( ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1726,f4278]) ).
fof(f6253,plain,
~ sQ196_spl,
inference(contradiction_clause,[status(thm)],[f6252]) ).
fof(f6254,plain,
( ~ sQ147_spl
| ~ sQ255_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f6039,f1569]) ).
fof(f6255,plain,
( ~ sQ147_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6254,f412]) ).
fof(f6256,plain,
( ~ sQ147_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6255]) ).
fof(f6265,plain,
( sQ441_spl
| op2(e23,e24) != e22 ),
inference(forward_demodulation,[status(thm)],[f4282,f2561]) ).
fof(f6269,plain,
( ~ sQ692_spl
| ~ sQ255_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f6241,f1610,f1914,f3653]) ).
fof(f6270,plain,
( ~ sQ669_spl
| ~ sQ255_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f6134,f1610,f1914,f3545]) ).
fof(f6279,plain,
( ~ sQ420_spl
| ~ sQ434_spl
| ~ sQ253_spl
| e23 = op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f4548,f5641]) ).
fof(f6282,plain,
( ~ sQ595_spl
| op2(e24,e23) = e21 ),
inference(forward_demodulation,[status(thm)],[f4290,f3214]) ).
fof(f6283,plain,
( ~ sQ595_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f4282,f6282]) ).
fof(f6284,plain,
( ~ sQ595_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6283,f409]) ).
fof(f6285,plain,
~ sQ595_spl,
inference(contradiction_clause,[status(thm)],[f6284]) ).
fof(f6286,plain,
( ~ sQ246_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f4282,f1886]) ).
fof(f6287,plain,
( ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6286,f409]) ).
fof(f6288,plain,
~ sQ246_spl,
inference(contradiction_clause,[status(thm)],[f6287]) ).
fof(f6289,plain,
( ~ sQ245_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f4282,f1883]) ).
fof(f6290,plain,
( ~ sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6289,f406]) ).
fof(f6291,plain,
~ sQ245_spl,
inference(contradiction_clause,[status(thm)],[f6290]) ).
fof(f6295,plain,
( ~ sQ593_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f5879,f1654,f3205]) ).
fof(f6296,plain,
( ~ sQ594_spl
| op2(e24,e21) = e23 ),
inference(forward_demodulation,[status(thm)],[f4290,f3210]) ).
fof(f6303,plain,
( sQ593_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f5883,f1654,f3205]) ).
fof(f6305,plain,
( ~ sQ443_spl
| op2(e22,e24) = e23 ),
inference(forward_demodulation,[status(thm)],[f4282,f2568]) ).
fof(f6308,plain,
( ~ sQ591_spl
| op1(e14,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f4262,f3197]) ).
fof(f6309,plain,
( ~ sQ591_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f4254,f6308]) ).
fof(f6310,plain,
( ~ sQ591_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6309,f399]) ).
fof(f6311,plain,
~ sQ591_spl,
inference(contradiction_clause,[status(thm)],[f6310]) ).
fof(f6317,plain,
( ~ sQ590_spl
| op1(e14,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f4262,f3193]) ).
fof(f6318,plain,
( sQ438_spl
| op1(e12,e13) != e14 ),
inference(forward_demodulation,[status(thm)],[f4254,f2548]) ).
fof(f6321,plain,
( ~ sQ582_spl
| op1(e10,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f5765,f3159]) ).
fof(f6323,plain,
( sQ581_spl
| op1(e12,e13) != e10 ),
inference(forward_demodulation,[status(thm)],[f5765,f3156]) ).
fof(f6337,plain,
( ~ sQ95_spl
| ~ sQ97_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1359,f1353]) ).
fof(f6338,plain,
( ~ sQ95_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6337,f396]) ).
fof(f6339,plain,
( ~ sQ95_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f6338]) ).
fof(f6346,plain,
( ~ sQ119_spl
| e12 = e14 ),
inference(forward_demodulation,[status(thm)],[f4254,f1429]) ).
fof(f6347,plain,
( ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6346,f403]) ).
fof(f6348,plain,
~ sQ119_spl,
inference(contradiction_clause,[status(thm)],[f6347]) ).
fof(f6350,plain,
( ~ sQ605_spl
| ~ sQ70_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f6170,f1118,f1272,f3257]) ).
fof(f6351,plain,
( sQ612_spl
| ~ sQ69_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f6081,f1409,f1268,f3289]) ).
fof(f6356,plain,
( ~ sQ583_spl
| op1(e10,e13) = e12 ),
inference(forward_demodulation,[status(thm)],[f5765,f3163]) ).
fof(f6357,plain,
( ~ sQ579_spl
| e23 != op2(e21,e24) ),
inference(backward_demodulation,[status(thm)],[f6358,f364]) ).
fof(f6358,plain,
( ~ sQ579_spl
| op2(e21,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f455,f3145]) ).
fof(f6359,plain,
( ~ sQ579_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f6357,f1667,f3144]) ).
fof(f6361,plain,
( ~ sQ228_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f5924,f1763,f1827]) ).
fof(f6370,plain,
( ~ sQ576_spl
| op1(e11,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f451,f3131]) ).
fof(f6371,plain,
( ~ sQ456_spl
| ~ sQ255_spl
| e22 = op2(op2(e20,e20),e20) ),
inference(forward_demodulation,[status(thm)],[f5745,f4330]) ).
fof(f6372,plain,
( ~ sQ456_spl
| ~ sQ255_spl
| e22 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5745,f6371]) ).
fof(f6373,plain,
( ~ sQ456_spl
| ~ sQ255_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f6372]) ).
fof(f6374,plain,
( ~ sQ456_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6373,f406]) ).
fof(f6375,plain,
( ~ sQ456_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6374]) ).
fof(f6378,plain,
( sQ283_spl
| h1(e10) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f5765,f4756]) ).
fof(f6380,plain,
( ~ sQ255_spl
| h1(e12) = op2(op2(e20,e20),e20) ),
inference(forward_demodulation,[status(thm)],[f5745,f461]) ).
fof(f6381,plain,
( ~ sQ255_spl
| h1(e12) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5745,f6380]) ).
fof(f6382,plain,
( ~ sQ255_spl
| h1(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f6381]) ).
fof(f6389,plain,
( ~ sQ567_spl
| ~ sQ255_spl
| op2(e21,e24) != e20 ),
inference(backward_demodulation,[status(thm)],[f6390,f341]) ).
fof(f6390,plain,
( ~ sQ567_spl
| ~ sQ255_spl
| op2(e24,e24) = e20 ),
inference(forward_demodulation,[status(thm)],[f6019,f3090]) ).
fof(f6400,plain,
( ~ sQ201_spl
| ~ sQ200_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1739,f1742]) ).
fof(f6401,plain,
( ~ sQ201_spl
| ~ sQ200_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6400,f405]) ).
fof(f6402,plain,
( ~ sQ201_spl
| ~ sQ200_spl ),
inference(contradiction_clause,[status(thm)],[f6401]) ).
fof(f6403,plain,
( ~ sQ255_spl
| e22 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f6145,f365]) ).
fof(f6405,plain,
( ~ sQ420_spl
| ~ sQ434_spl
| ~ sQ253_spl
| ~ sQ567_spl
| ~ sQ255_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f6390,f6279]) ).
fof(f6406,plain,
( ~ sQ420_spl
| ~ sQ434_spl
| ~ sQ253_spl
| ~ sQ567_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6405,f407]) ).
fof(f6407,plain,
( ~ sQ420_spl
| ~ sQ434_spl
| ~ sQ253_spl
| ~ sQ567_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6406]) ).
fof(f6408,plain,
( sQ567_spl
| ~ sQ255_spl
| op2(e24,e24) != e20 ),
inference(forward_demodulation,[status(thm)],[f6019,f3091]) ).
fof(f6415,plain,
( ~ sQ255_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f6145,f366]) ).
fof(f6417,plain,
( sQ352_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f470,f4506]) ).
fof(f6418,plain,
sQ352_spl,
inference(contradiction_clause,[status(thm)],[f6417]) ).
fof(f6419,plain,
( ~ sQ352_spl
| h3(e11) = op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f451,f2273]) ).
fof(f6420,plain,
( ~ sQ352_spl
| h3(e11) = op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f468,f6419]) ).
fof(f6421,plain,
( ~ sQ352_spl
| h3(e11) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f468,f6420]) ).
fof(f6430,plain,
( sQ347_spl
| h3(op1(e12,e13)) != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f468,f2259]) ).
fof(f6432,plain,
( ~ sQ399_spl
| e24 = op2(e24,e23) ),
inference(forward_demodulation,[status(thm)],[f2421,f4446]) ).
fof(f6433,plain,
( ~ sQ399_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f4282,f6432]) ).
fof(f6434,plain,
( ~ sQ399_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6433,f413]) ).
fof(f6435,plain,
~ sQ399_spl,
inference(contradiction_clause,[status(thm)],[f6434]) ).
fof(f6436,plain,
h4(e12) = e22,
inference(forward_demodulation,[status(thm)],[f4282,f4446]) ).
fof(f6439,plain,
( sQ379_spl
| h4(op1(e12,e11)) != op2(h4(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f4437,f2360]) ).
fof(f6440,plain,
( sQ391_spl
| h4(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f4282,f5670]) ).
fof(f6441,plain,
op2(e22,e22) != h4(e10),
inference(backward_demodulation,[status(thm)],[f6443,f322]) ).
fof(f6443,plain,
h4(e10) = op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f4282,f4435]) ).
fof(f6444,plain,
e22 != op2(e24,e24),
inference(forward_demodulation,[status(thm)],[f4282,f394]) ).
fof(f6445,plain,
op2(e22,e23) != e22,
inference(forward_demodulation,[status(thm)],[f4282,f333]) ).
fof(f6452,plain,
( sQ391_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f6436,f6440]) ).
fof(f6453,plain,
( sQ391_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6452]) ).
fof(f6454,plain,
sQ391_spl,
inference(contradiction_clause,[status(thm)],[f6453]) ).
fof(f6463,plain,
( sQ516_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f6436,f2877]) ).
fof(f6464,plain,
( sQ516_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6463]) ).
fof(f6465,plain,
sQ516_spl,
inference(contradiction_clause,[status(thm)],[f6464]) ).
fof(f6467,plain,
( sQ382_spl
| ~ sQ516_spl
| h4(op1(e12,e14)) != op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f4454,f4179]) ).
fof(f6468,plain,
( sQ385_spl
| ~ sQ516_spl
| h4(e10) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f5765,f4182]) ).
fof(f6469,plain,
( sQ385_spl
| ~ sQ516_spl
| h4(e10) != h4(e10) ),
inference(forward_demodulation,[status(thm)],[f6443,f6468]) ).
fof(f6470,plain,
( sQ385_spl
| ~ sQ516_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6469]) ).
fof(f6471,plain,
( sQ385_spl
| ~ sQ516_spl ),
inference(contradiction_clause,[status(thm)],[f6470]) ).
fof(f6472,plain,
( sQ390_spl
| ~ sQ516_spl
| h4(op1(e14,e12)) != op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f4454,f4183]) ).
fof(f6482,plain,
( ~ sQ181_spl
| ~ sQ255_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f6145,f1678]) ).
fof(f6483,plain,
( ~ sQ181_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6482,f409]) ).
fof(f6484,plain,
( ~ sQ181_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6483]) ).
fof(f6487,plain,
( ~ sQ206_spl
| ~ sQ255_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f6020,f1758]) ).
fof(f6488,plain,
( ~ sQ206_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6487,f410]) ).
fof(f6489,plain,
( ~ sQ206_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6488]) ).
fof(f6491,plain,
( ~ sQ207_spl
| ~ sQ255_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f6020,f1761]) ).
fof(f6492,plain,
( ~ sQ207_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6491,f412]) ).
fof(f6493,plain,
( ~ sQ207_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6492]) ).
fof(f6496,plain,
( ~ sQ128_spl
| op1(e13,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f1458,f55]) ).
fof(f6497,plain,
( ~ sQ128_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f451,f6496]) ).
fof(f6498,plain,
( ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6497,f400]) ).
fof(f6499,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f6498]) ).
fof(f6503,plain,
( ~ sQ129_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f3725,f1425,f1460]) ).
fof(f6513,plain,
( ~ sQ420_spl
| ~ sQ434_spl
| e22 != h5(e11) ),
inference(backward_demodulation,[status(thm)],[f5641,f6444]) ).
fof(f6514,plain,
( ~ sQ217_spl
| h4(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f6443,f1793]) ).
fof(f6519,plain,
( ~ sQ217_spl
| e22 = op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f6514,f6443]) ).
fof(f6530,plain,
( ~ sQ203_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f6035,f1699,f1747]) ).
fof(f6548,plain,
( ~ sQ420_spl
| ~ sQ434_spl
| ~ sQ535_spl ),
inference(split_clause,[status(thm)],[f6513,f2955,f2531,f2486]) ).
fof(f6559,plain,
( ~ sQ563_spl
| ~ sQ125_spl
| op1(e14,e14) = e10 ),
inference(backward_demodulation,[status(thm)],[f6560,f3073]) ).
fof(f6560,plain,
( ~ sQ125_spl
| op1(e14,e10) = e14 ),
inference(forward_demodulation,[status(thm)],[f1449,f57]) ).
fof(f6561,plain,
( ~ sQ563_spl
| ~ sQ125_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f6559,f1432,f1448,f3072]) ).
fof(f6567,plain,
( ~ sQ125_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f5748,f1380,f1448]) ).
fof(f6569,plain,
( ~ sQ125_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f5751,f1124,f1448]) ).
fof(f6597,plain,
op2(e24,e21) != e22,
inference(forward_demodulation,[status(thm)],[f4282,f390]) ).
fof(f6603,plain,
( ~ sQ125_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f1449,f48]) ).
fof(f6606,plain,
op2(e24,e22) != e22,
inference(forward_demodulation,[status(thm)],[f4282,f392]) ).
fof(f6609,plain,
( ~ sQ317_spl
| h2(e10) = op2(h2(e13),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f5765,f2163]) ).
fof(f6610,plain,
( ~ sQ317_spl
| h2(e10) = op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f463,f6609]) ).
fof(f6611,plain,
h2(e10) = op2(e21,op2(h2(e14),e21)),
inference(forward_demodulation,[status(thm)],[f4406,f4371]) ).
fof(f6612,plain,
h2(e12) = op2(h2(e14),e21),
inference(forward_demodulation,[status(thm)],[f4406,f4405]) ).
fof(f6614,plain,
( sQ472_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f463,f2692]) ).
fof(f6615,plain,
( sQ472_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6614]) ).
fof(f6616,plain,
sQ472_spl,
inference(contradiction_clause,[status(thm)],[f6615]) ).
fof(f6620,plain,
( sQ318_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f465,f4935]) ).
fof(f6621,plain,
sQ318_spl,
inference(contradiction_clause,[status(thm)],[f6620]) ).
fof(f6653,plain,
( ~ sQ255_spl
| e21 != op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f6131,f308]) ).
fof(f6654,plain,
( ~ sQ255_spl
| e21 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f6131,f306]) ).
fof(f6655,plain,
( ~ sQ255_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f6131,f305]) ).
fof(f6660,plain,
( ~ sQ135_spl
| ~ sQ255_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f6131,f1531]) ).
fof(f6661,plain,
( ~ sQ135_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6660,f405]) ).
fof(f6662,plain,
( ~ sQ135_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6661]) ).
fof(f6664,plain,
( ~ sQ255_spl
| h1(e14) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5745,f462]) ).
fof(f6665,plain,
( ~ sQ255_spl
| h1(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f6664]) ).
fof(f6666,plain,
( ~ sQ255_spl
| sQ448_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6665,f2591]) ).
fof(f6667,plain,
( ~ sQ255_spl
| sQ448_spl ),
inference(contradiction_clause,[status(thm)],[f6666]) ).
fof(f6670,plain,
( ~ sQ449_spl
| e21 = op2(e20,op2(op2(e20,op2(e20,e20)),e20)) ),
inference(forward_demodulation,[status(thm)],[f2595,f459]) ).
fof(f6671,plain,
( ~ sQ449_spl
| ~ sQ255_spl
| e21 = op2(e20,op2(op2(e20,e20),e20)) ),
inference(forward_demodulation,[status(thm)],[f5745,f6670]) ).
fof(f6672,plain,
( ~ sQ449_spl
| ~ sQ255_spl
| e21 = op2(e20,op2(e20,e20)) ),
inference(forward_demodulation,[status(thm)],[f5745,f6671]) ).
fof(f6673,plain,
( ~ sQ449_spl
| ~ sQ255_spl
| e21 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5745,f6672]) ).
fof(f6674,plain,
( ~ sQ449_spl
| ~ sQ255_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f6673]) ).
fof(f6675,plain,
( ~ sQ449_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6674,f405]) ).
fof(f6676,plain,
( ~ sQ449_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6675]) ).
fof(f6677,plain,
( ~ sQ255_spl
| h1(e10) = op2(e20,op2(op2(e20,e20),e20)) ),
inference(forward_demodulation,[status(thm)],[f5745,f459]) ).
fof(f6678,plain,
( ~ sQ255_spl
| h1(e10) = op2(e20,op2(e20,e20)) ),
inference(forward_demodulation,[status(thm)],[f5745,f6677]) ).
fof(f6679,plain,
( ~ sQ255_spl
| h1(e10) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f5745,f6678]) ).
fof(f6680,plain,
( ~ sQ255_spl
| h1(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f6679]) ).
fof(f6681,plain,
( ~ sQ255_spl
| ~ sQ161_spl ),
inference(split_clause,[status(thm)],[f6655,f1613,f1914]) ).
fof(f6682,plain,
( sQ283_spl
| ~ sQ255_spl
| h1(e10) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6382,f6378]) ).
fof(f6683,plain,
( sQ283_spl
| ~ sQ255_spl
| h1(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f6682]) ).
fof(f6684,plain,
( sQ276_spl
| ~ sQ255_spl
| h1(op1(e12,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f6382,f2036]) ).
fof(f6685,plain,
( sQ266_spl
| ~ sQ125_spl
| h1(e10) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f6603,f2006]) ).
fof(f6687,plain,
( sQ268_spl
| ~ sQ255_spl
| h1(op1(e10,e12)) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f6382,f2012]) ).
fof(f6688,plain,
( sQ269_spl
| h1(op1(e10,e13)) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f458,f2015]) ).
fof(f6693,plain,
( sQ283_spl
| ~ sQ255_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6680,f6683]) ).
fof(f6694,plain,
( sQ283_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6693]) ).
fof(f6695,plain,
( sQ283_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6694]) ).
fof(f6710,plain,
( ~ sQ191_spl
| e21 != op2(e24,e22) ),
inference(backward_demodulation,[status(thm)],[f1710,f323]) ).
fof(f6716,plain,
( ~ sQ191_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f6710,f1869,f1709]) ).
fof(f6723,plain,
( ~ sQ125_spl
| op1(e10,e11) = e11 ),
inference(forward_demodulation,[status(thm)],[f1449,f50]) ).
fof(f6724,plain,
( ~ sQ125_spl
| op1(e11,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f1449,f51]) ).
fof(f6725,plain,
( ~ sQ125_spl
| op1(e10,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f1449,f52]) ).
fof(f6726,plain,
( ~ sQ125_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f1449,f53]) ).
fof(f6727,plain,
( ~ sQ125_spl
| op1(e10,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f1449,f54]) ).
fof(f6729,plain,
( ~ sQ455_spl
| e22 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2620,f460]) ).
fof(f6730,plain,
( ~ sQ455_spl
| ~ sQ255_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f6729]) ).
fof(f6731,plain,
( ~ sQ455_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6730,f406]) ).
fof(f6732,plain,
( ~ sQ455_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6731]) ).
fof(f6733,plain,
( ~ sQ255_spl
| h1(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f460]) ).
fof(f6734,plain,
( sQ271_spl
| ~ sQ125_spl
| h1(e11) != op2(h1(e11),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f6724,f2021]) ).
fof(f6735,plain,
( sQ271_spl
| ~ sQ125_spl
| ~ sQ255_spl
| h1(e11) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f6680,f6734]) ).
fof(f6736,plain,
( sQ267_spl
| ~ sQ125_spl
| h1(e11) != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6723,f2009]) ).
fof(f6737,plain,
( sQ267_spl
| ~ sQ125_spl
| ~ sQ255_spl
| h1(e11) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6680,f6736]) ).
fof(f6739,plain,
( ~ sQ454_spl
| ~ sQ255_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f6680,f2616]) ).
fof(f6740,plain,
( ~ sQ454_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6739,f406]) ).
fof(f6741,plain,
( ~ sQ454_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6740]) ).
fof(f6748,plain,
( sQ284_spl
| ~ sQ255_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6733,f5787]) ).
fof(f6749,plain,
( sQ284_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6748]) ).
fof(f6750,plain,
( sQ284_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6749]) ).
fof(f6756,plain,
( ~ sQ187_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1697,f6403]) ).
fof(f6757,plain,
( ~ sQ187_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6756]) ).
fof(f6759,plain,
( ~ sQ219_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f5816,f1799]) ).
fof(f6760,plain,
( ~ sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6759,f408]) ).
fof(f6761,plain,
~ sQ219_spl,
inference(contradiction_clause,[status(thm)],[f6760]) ).
fof(f6763,plain,
( ~ sQ186_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1694,f6654]) ).
fof(f6764,plain,
( ~ sQ186_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6763]) ).
fof(f6766,plain,
( sQ635_spl
| ~ sQ255_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f6142,f3393]) ).
fof(f6767,plain,
( sQ635_spl
| ~ sQ255_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f6145,f6766]) ).
fof(f6768,plain,
( sQ635_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6767]) ).
fof(f6769,plain,
( sQ635_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6768]) ).
fof(f6770,plain,
( ~ sQ218_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f5816,f1796]) ).
fof(f6771,plain,
( ~ sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6770,f407]) ).
fof(f6772,plain,
~ sQ218_spl,
inference(contradiction_clause,[status(thm)],[f6771]) ).
fof(f6775,plain,
( sQ420_spl
| ~ sQ434_spl
| h5(e11) != h5(e11) ),
inference(forward_demodulation,[status(thm)],[f480,f5525]) ).
fof(f6776,plain,
( sQ420_spl
| ~ sQ434_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6775]) ).
fof(f6777,plain,
( sQ420_spl
| ~ sQ434_spl ),
inference(contradiction_clause,[status(thm)],[f6776]) ).
fof(f6778,plain,
( sQ317_spl
| h2(e10) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f5765,f4639]) ).
fof(f6783,plain,
( ~ sQ139_spl
| ~ sQ255_spl
| e21 = e24 ),
inference(forward_demodulation,[status(thm)],[f6131,f1543]) ).
fof(f6784,plain,
( ~ sQ139_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6783,f411]) ).
fof(f6785,plain,
( ~ sQ139_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6784]) ).
fof(f6786,plain,
( ~ sQ237_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1857,f6597]) ).
fof(f6787,plain,
~ sQ237_spl,
inference(contradiction_clause,[status(thm)],[f6786]) ).
fof(f6791,plain,
( sQ373_spl
| ~ sQ125_spl
| h4(e11) != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f6724,f4476]) ).
fof(f6792,plain,
( sQ373_spl
| ~ sQ125_spl
| e21 != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f4437,f6791]) ).
fof(f6795,plain,
( ~ sQ236_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1854,f6653]) ).
fof(f6796,plain,
( ~ sQ236_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6795]) ).
fof(f6797,plain,
( ~ sQ138_spl
| ~ sQ255_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f6131,f1540]) ).
fof(f6798,plain,
( ~ sQ138_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6797,f410]) ).
fof(f6799,plain,
( ~ sQ138_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6798]) ).
fof(f6800,plain,
( ~ sQ373_spl
| ~ sQ125_spl
| h4(e11) = op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f6724,f2341]) ).
fof(f6801,plain,
( ~ sQ373_spl
| ~ sQ125_spl
| e21 = op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f4437,f6800]) ).
fof(f6802,plain,
( ~ sQ373_spl
| ~ sQ125_spl
| e21 = op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f4437,f6801]) ).
fof(f6803,plain,
( ~ sQ373_spl
| ~ sQ125_spl
| ~ sQ514_spl
| e21 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2868,f6802]) ).
fof(f6808,plain,
( sQ565_spl
| ~ sQ255_spl
| e24 != op2(e24,e20) ),
inference(forward_demodulation,[status(thm)],[f6037,f3083]) ).
fof(f6809,plain,
( sQ565_spl
| ~ sQ255_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f6019,f6808]) ).
fof(f6810,plain,
( sQ565_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6809]) ).
fof(f6811,plain,
( sQ565_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6810]) ).
fof(f6814,plain,
( sQ674_spl
| ~ sQ255_spl
| op2(e24,e24) != e20 ),
inference(forward_demodulation,[status(thm)],[f6037,f3571]) ).
fof(f6815,plain,
( sQ674_spl
| ~ sQ255_spl
| h5(e11) != e20 ),
inference(forward_demodulation,[status(thm)],[f480,f6814]) ).
fof(f6820,plain,
( ~ sQ255_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f6039,f325]) ).
fof(f6821,plain,
( ~ sQ255_spl
| e23 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f6039,f326]) ).
fof(f6828,plain,
op2(e21,e22) != e20,
inference(forward_demodulation,[status(thm)],[f5816,f320]) ).
fof(f6840,plain,
( ~ sQ255_spl
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f6135,f356]) ).
fof(f6841,plain,
( ~ sQ255_spl
| e22 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f6142,f315]) ).
fof(f6845,plain,
( ~ sQ530_spl
| e21 = op2(e24,e24) ),
inference(backward_demodulation,[status(thm)],[f2935,f480]) ).
fof(f6846,plain,
( ~ sQ530_spl
| h5(e14) = op2(e24,e21) ),
inference(backward_demodulation,[status(thm)],[f2935,f4485]) ).
fof(f6852,plain,
( sQ285_spl
| ~ sQ255_spl
| h1(op1(e13,e14)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6665,f4740]) ).
fof(f6853,plain,
( sQ285_spl
| ~ sQ255_spl
| h1(op1(e13,e14)) != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f6852]) ).
fof(f6858,plain,
( ~ sQ373_spl
| ~ sQ125_spl
| ~ sQ514_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6803,f6840]) ).
fof(f6859,plain,
( ~ sQ373_spl
| ~ sQ125_spl
| ~ sQ514_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6858]) ).
fof(f6874,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1180,f4251]) ).
fof(f6875,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f6874]) ).
fof(f6886,plain,
( ~ sQ52_spl
| e12 != op1(e12,e14) ),
inference(backward_demodulation,[status(thm)],[f1215,f268]) ).
fof(f6888,plain,
( ~ sQ78_spl
| e13 != op1(e13,e14) ),
inference(backward_demodulation,[status(thm)],[f1298,f278]) ).
fof(f6899,plain,
( sQ425_spl
| ~ sQ434_spl
| h5(e12) != op2(h5(e14),e24) ),
inference(forward_demodulation,[status(thm)],[f4254,f4918]) ).
fof(f6900,plain,
( sQ425_spl
| ~ sQ434_spl
| h5(e12) != h5(e12) ),
inference(forward_demodulation,[status(thm)],[f4484,f6899]) ).
fof(f6901,plain,
( sQ425_spl
| ~ sQ434_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6900]) ).
fof(f6902,plain,
( sQ425_spl
| ~ sQ434_spl ),
inference(contradiction_clause,[status(thm)],[f6901]) ).
fof(f6909,plain,
( ~ sQ352_spl
| ~ sQ495_spl
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2788,f6421]) ).
fof(f6911,plain,
( sQ289_spl
| h1(e12) != op2(h1(e14),e20) ),
inference(forward_demodulation,[status(thm)],[f4254,f4732]) ).
fof(f6912,plain,
( sQ289_spl
| ~ sQ255_spl
| e20 != op2(h1(e14),e20) ),
inference(forward_demodulation,[status(thm)],[f6382,f6911]) ).
fof(f6913,plain,
( sQ289_spl
| ~ sQ255_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6665,f6912]) ).
fof(f6914,plain,
( sQ289_spl
| ~ sQ255_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f6913]) ).
fof(f6915,plain,
( sQ289_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6914]) ).
fof(f6916,plain,
( sQ289_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6915]) ).
fof(f6925,plain,
( ~ sQ243_spl
| op2(e24,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f1876,f389]) ).
fof(f6930,plain,
( ~ sQ318_spl
| ~ sQ480_spl
| e23 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2725,f4689]) ).
fof(f6931,plain,
( sQ323_spl
| h2(e12) != op2(h2(e14),e21) ),
inference(forward_demodulation,[status(thm)],[f4254,f4610]) ).
fof(f6933,plain,
( ~ sQ195_spl
| op2(e21,e23) != e20 ),
inference(backward_demodulation,[status(thm)],[f1723,f329]) ).
fof(f6935,plain,
( ~ sQ195_spl
| op2(e22,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f1723,f370]) ).
fof(f6937,plain,
( ~ sQ195_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f6933,f1642,f1722]) ).
fof(f6938,plain,
( ~ sQ195_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f6935,f1690,f1722]) ).
fof(f6943,plain,
e12 != op1(e14,e14),
inference(forward_demodulation,[status(thm)],[f4254,f294]) ).
fof(f6944,plain,
( sQ357_spl
| h3(e12) != op2(h3(e14),e22) ),
inference(forward_demodulation,[status(thm)],[f4254,f4486]) ).
fof(f6945,plain,
op1(e12,e13) != e12,
inference(forward_demodulation,[status(thm)],[f4254,f233]) ).
fof(f6950,plain,
( ~ sQ77_spl
| ~ sQ78_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1298,f1295]) ).
fof(f6951,plain,
( ~ sQ77_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6950,f402]) ).
fof(f6952,plain,
( ~ sQ77_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f6951]) ).
fof(f6953,plain,
( ~ sQ76_spl
| ~ sQ78_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f1298,f1292]) ).
fof(f6954,plain,
( ~ sQ76_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6953,f400]) ).
fof(f6955,plain,
( ~ sQ76_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f6954]) ).
fof(f6956,plain,
op1(e11,e13) != e12,
inference(forward_demodulation,[status(thm)],[f4254,f231]) ).
fof(f6957,plain,
op1(e10,e13) != e12,
inference(forward_demodulation,[status(thm)],[f4254,f228]) ).
fof(f6958,plain,
op1(e14,e12) != e12,
inference(forward_demodulation,[status(thm)],[f4254,f292]) ).
fof(f6959,plain,
e10 != op1(e14,e12),
inference(forward_demodulation,[status(thm)],[f5765,f224]) ).
fof(f6966,plain,
( ~ sQ126_spl
| op1(e13,e11) = e13 ),
inference(forward_demodulation,[status(thm)],[f1452,f55]) ).
fof(f6967,plain,
( ~ sQ126_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f4262,f6966]) ).
fof(f6968,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6967,f404]) ).
fof(f6969,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f6968]) ).
fof(f6970,plain,
( ~ sQ125_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f5752,f1297,f1448]) ).
fof(f6971,plain,
( ~ sQ125_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f6603,f1048,f1448]) ).
fof(f6972,plain,
( sQ266_spl
| ~ sQ125_spl
| ~ sQ255_spl
| e20 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f6680,f6685]) ).
fof(f6973,plain,
( sQ266_spl
| ~ sQ125_spl
| ~ sQ255_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f6680,f6972]) ).
fof(f6974,plain,
( sQ266_spl
| ~ sQ125_spl
| ~ sQ255_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6680,f6973]) ).
fof(f6975,plain,
( sQ266_spl
| ~ sQ125_spl
| ~ sQ255_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f6974]) ).
fof(f6976,plain,
( sQ266_spl
| ~ sQ125_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6975]) ).
fof(f6977,plain,
( sQ266_spl
| ~ sQ125_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f6976]) ).
fof(f6978,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1439,f6943]) ).
fof(f6979,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f6978]) ).
fof(f6980,plain,
( ~ sQ24_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f5039,f1108,f1124]) ).
fof(f6983,plain,
( ~ sQ65_spl
| sQ581_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1257,f6323]) ).
fof(f6984,plain,
( ~ sQ65_spl
| sQ581_spl ),
inference(contradiction_clause,[status(thm)],[f6983]) ).
fof(f6986,plain,
( ~ sQ69_spl
| sQ438_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1269,f6318]) ).
fof(f6987,plain,
( ~ sQ69_spl
| sQ438_spl ),
inference(contradiction_clause,[status(thm)],[f6986]) ).
fof(f6989,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f4261]) ).
fof(f6990,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f6989]) ).
fof(f6992,plain,
( ~ sQ44_spl
| sQ589_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1189,f5909]) ).
fof(f6993,plain,
( ~ sQ44_spl
| sQ589_spl ),
inference(contradiction_clause,[status(thm)],[f6992]) ).
fof(f6995,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1407,f6958]) ).
fof(f6996,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f6995]) ).
fof(f6997,plain,
( ~ sQ105_spl
| ~ sQ590_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f6317,f1385]) ).
fof(f6998,plain,
( ~ sQ105_spl
| ~ sQ590_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6997,f397]) ).
fof(f6999,plain,
( ~ sQ105_spl
| ~ sQ590_spl ),
inference(contradiction_clause,[status(thm)],[f6998]) ).
fof(f7000,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1103,f6957]) ).
fof(f7001,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f7000]) ).
fof(f7003,plain,
op1(e14,e11) != e12,
inference(forward_demodulation,[status(thm)],[f4254,f290]) ).
fof(f7004,plain,
( ~ sQ250_spl
| ~ sQ530_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f6845,f1899]) ).
fof(f7005,plain,
( ~ sQ250_spl
| ~ sQ530_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7004,f405]) ).
fof(f7006,plain,
( ~ sQ250_spl
| ~ sQ530_spl ),
inference(contradiction_clause,[status(thm)],[f7005]) ).
fof(f7007,plain,
( ~ sQ176_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1662,f6163]) ).
fof(f7008,plain,
( ~ sQ176_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7007]) ).
fof(f7035,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1263,f6945]) ).
fof(f7036,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f7035]) ).
fof(f7055,plain,
( ~ sQ255_spl
| ~ sQ352_spl
| ~ sQ495_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f6909,f6415]) ).
fof(f7056,plain,
( ~ sQ255_spl
| ~ sQ352_spl
| ~ sQ495_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7055]) ).
fof(f7057,plain,
( ~ sQ255_spl
| ~ sQ352_spl
| ~ sQ495_spl ),
inference(contradiction_clause,[status(thm)],[f7056]) ).
fof(f7058,plain,
( ~ sQ255_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f6415,f1712,f1914]) ).
fof(f7079,plain,
( ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ480_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f6930,f1617]) ).
fof(f7080,plain,
( ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ480_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7079,f412]) ).
fof(f7081,plain,
( ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ480_spl ),
inference(contradiction_clause,[status(thm)],[f7080]) ).
fof(f7084,plain,
( ~ sQ202_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1745,f6216]) ).
fof(f7085,plain,
( ~ sQ202_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7084]) ).
fof(f7089,plain,
( ~ sQ227_spl
| ~ sQ225_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1819,f1825]) ).
fof(f7090,plain,
( ~ sQ227_spl
| ~ sQ225_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7089,f406]) ).
fof(f7091,plain,
( ~ sQ227_spl
| ~ sQ225_spl ),
inference(contradiction_clause,[status(thm)],[f7090]) ).
fof(f7092,plain,
( ~ sQ235_spl
| ~ sQ530_spl
| h5(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f6846,f1851]) ).
fof(f7096,plain,
( ~ sQ217_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f5816,f6519]) ).
fof(f7097,plain,
( ~ sQ217_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7096,f406]) ).
fof(f7098,plain,
~ sQ217_spl,
inference(contradiction_clause,[status(thm)],[f7097]) ).
fof(f7102,plain,
( sQ675_spl
| ~ sQ255_spl
| op2(e24,e20) != e24 ),
inference(forward_demodulation,[status(thm)],[f6037,f3575]) ).
fof(f7103,plain,
( sQ675_spl
| ~ sQ255_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f6019,f7102]) ).
fof(f7104,plain,
( sQ675_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7103]) ).
fof(f7105,plain,
( sQ675_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7104]) ).
fof(f7122,plain,
( ~ sQ581_spl
| op1(e12,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f5765,f3155]) ).
fof(f7126,plain,
( ~ sQ582_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f6321,f1089,f3158]) ).
fof(f7127,plain,
( ~ sQ167_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1633,f6841]) ).
fof(f7128,plain,
( ~ sQ167_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7127]) ).
fof(f7150,plain,
( ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1627,f6828]) ).
fof(f7151,plain,
~ sQ165_spl,
inference(contradiction_clause,[status(thm)],[f7150]) ).
fof(f7155,plain,
op1(e12,e12) != e10,
inference(forward_demodulation,[status(thm)],[f5765,f222]) ).
fof(f7173,plain,
op1(e11,e12) != e10,
inference(forward_demodulation,[status(thm)],[f5765,f220]) ).
fof(f7175,plain,
op1(e13,e10) != e10,
inference(forward_demodulation,[status(thm)],[f5765,f276]) ).
fof(f7183,plain,
( ~ sQ178_spl
| op2(e21,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1668,f363]) ).
fof(f7184,plain,
( ~ sQ178_spl
| ~ sQ168_spl ),
inference(split_clause,[status(thm)],[f7183,f1635,f1667]) ).
fof(f7187,plain,
( ~ sQ166_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1630,f6840]) ).
fof(f7188,plain,
( ~ sQ166_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7187]) ).
fof(f7190,plain,
( sQ567_spl
| ~ sQ255_spl
| ~ sQ250_spl ),
inference(split_clause,[status(thm)],[f6408,f1898,f1914,f3089]) ).
fof(f7191,plain,
( sQ674_spl
| ~ sQ255_spl
| ~ sQ525_spl ),
inference(split_clause,[status(thm)],[f6815,f2913,f1914,f3569]) ).
fof(f7195,plain,
( sQ667_spl
| ~ sQ255_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f6131,f3539]) ).
fof(f7196,plain,
( sQ667_spl
| ~ sQ255_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6135,f7195]) ).
fof(f7197,plain,
( sQ667_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7196]) ).
fof(f7198,plain,
( sQ667_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7197]) ).
fof(f7201,plain,
( ~ sQ57_spl
| op1(e12,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f1231,f265]) ).
fof(f7228,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1183,f6956]) ).
fof(f7229,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f7228]) ).
fof(f7234,plain,
( sQ272_spl
| ~ sQ255_spl
| h1(op1(e11,e11)) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6733,f2024]) ).
fof(f7235,plain,
( sQ272_spl
| ~ sQ255_spl
| h1(op1(e11,e11)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6733,f7234]) ).
fof(f7236,plain,
( sQ272_spl
| ~ sQ255_spl
| h1(op1(e11,e11)) != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f7235]) ).
fof(f7239,plain,
( sQ275_spl
| ~ sQ255_spl
| h1(op1(e11,e14)) != op2(e20,h1(e14)) ),
inference(forward_demodulation,[status(thm)],[f6733,f2033]) ).
fof(f7240,plain,
( sQ275_spl
| ~ sQ255_spl
| h1(op1(e11,e14)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6665,f7239]) ).
fof(f7241,plain,
( sQ275_spl
| ~ sQ255_spl
| h1(op1(e11,e14)) != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f7240]) ).
fof(f7242,plain,
( sQ282_spl
| ~ sQ255_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6665,f4759]) ).
fof(f7243,plain,
( sQ282_spl
| ~ sQ255_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6733,f7242]) ).
fof(f7244,plain,
( sQ282_spl
| ~ sQ255_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f7243]) ).
fof(f7245,plain,
( sQ282_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7244]) ).
fof(f7246,plain,
( sQ282_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7245]) ).
fof(f7306,plain,
( ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1391,f7003]) ).
fof(f7307,plain,
~ sQ107_spl,
inference(contradiction_clause,[status(thm)],[f7306]) ).
fof(f7321,plain,
( sQ442_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f6240,f1734,f2563]) ).
fof(f7322,plain,
( ~ sQ193_spl
| ~ sQ352_spl
| h3(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f6421,f1716]) ).
fof(f7323,plain,
( ~ sQ193_spl
| ~ sQ352_spl
| sQ500_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7322,f2810]) ).
fof(f7324,plain,
( ~ sQ193_spl
| ~ sQ352_spl
| sQ500_spl ),
inference(contradiction_clause,[status(thm)],[f7323]) ).
fof(f7345,plain,
( ~ sQ352_spl
| ~ sQ500_spl
| e23 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f2809,f6421]) ).
fof(f7350,plain,
( ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1289,f7175]) ).
fof(f7351,plain,
~ sQ75_spl,
inference(contradiction_clause,[status(thm)],[f7350]) ).
fof(f7355,plain,
( ~ sQ78_spl
| op1(e11,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f1298,f200]) ).
fof(f7365,plain,
( sQ687_spl
| ~ sQ255_spl
| op2(e22,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f6142,f3631]) ).
fof(f7366,plain,
( sQ687_spl
| ~ sQ255_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f6145,f7365]) ).
fof(f7367,plain,
( sQ687_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7366]) ).
fof(f7368,plain,
( sQ687_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7367]) ).
fof(f7374,plain,
( ~ sQ97_spl
| op1(e10,e14) != e12 ),
inference(backward_demodulation,[status(thm)],[f1359,f237]) ).
fof(f7375,plain,
( ~ sQ97_spl
| op1(e11,e14) != e12 ),
inference(backward_demodulation,[status(thm)],[f1359,f240]) ).
fof(f7379,plain,
( sQ353_spl
| ~ sQ97_spl
| h3(e12) != op2(e22,h3(e14)) ),
inference(backward_demodulation,[status(thm)],[f1359,f4503]) ).
fof(f7381,plain,
( sQ285_spl
| ~ sQ255_spl
| ~ sQ97_spl
| h1(e12) != e20 ),
inference(backward_demodulation,[status(thm)],[f1359,f6853]) ).
fof(f7383,plain,
( ~ sQ97_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f7375,f1198,f1358]) ).
fof(f7384,plain,
( sQ285_spl
| ~ sQ255_spl
| ~ sQ97_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6382,f7381]) ).
fof(f7385,plain,
( sQ285_spl
| ~ sQ255_spl
| ~ sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7384]) ).
fof(f7386,plain,
( sQ285_spl
| ~ sQ255_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f7385]) ).
fof(f7392,plain,
( ~ sQ5_spl
| op1(e10,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f1065,f245]) ).
fof(f7415,plain,
( ~ sQ101_spl
| op1(e11,e10) != e11 ),
inference(backward_demodulation,[status(thm)],[f1372,f201]) ).
fof(f7426,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1397,f4258]) ).
fof(f7427,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f7426]) ).
fof(f7432,plain,
( ~ sQ5_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7392,f1048,f1064]) ).
fof(f7473,plain,
( sQ585_spl
| op2(e22,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f5816,f3173]) ).
fof(f7486,plain,
( ~ sQ530_spl
| op2(e22,e24) != e21 ),
inference(forward_demodulation,[status(thm)],[f6845,f343]) ).
fof(f7499,plain,
( ~ sQ120_spl
| op1(e14,e11) != e10 ),
inference(backward_demodulation,[status(thm)],[f1433,f291]) ).
fof(f7503,plain,
( ~ sQ120_spl
| op1(e11,e14) != e10 ),
inference(backward_demodulation,[status(thm)],[f1433,f241]) ).
fof(f7564,plain,
( ~ sQ162_spl
| ~ sQ318_spl
| h2(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f4689,f1617]) ).
fof(f7565,plain,
( ~ sQ162_spl
| ~ sQ318_spl
| sQ475_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7564,f2705]) ).
fof(f7566,plain,
( ~ sQ162_spl
| ~ sQ318_spl
| sQ475_spl ),
inference(contradiction_clause,[status(thm)],[f7565]) ).
fof(f7569,plain,
( ~ sQ162_spl
| ~ sQ318_spl
| e22 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f7564,f4372]) ).
fof(f7630,plain,
( ~ sQ97_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f7374,f1118,f1358]) ).
fof(f7631,plain,
( ~ sQ121_spl
| ~ sQ120_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f1433,f1436]) ).
fof(f7632,plain,
( ~ sQ121_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7631,f395]) ).
fof(f7633,plain,
( ~ sQ121_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f7632]) ).
fof(f7635,plain,
( ~ sQ172_spl
| ~ sQ162_spl
| ~ sQ318_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1649,f7569]) ).
fof(f7636,plain,
( ~ sQ172_spl
| ~ sQ162_spl
| ~ sQ318_spl ),
inference(contradiction_clause,[status(thm)],[f7635]) ).
fof(f7642,plain,
( ~ sQ581_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f7122,f1256,f3154]) ).
fof(f7648,plain,
( ~ sQ120_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f7499,f1384,f1432]) ).
fof(f7650,plain,
( ~ sQ120_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f7503,f1192,f1432]) ).
fof(f7660,plain,
( ~ sQ352_spl
| ~ sQ500_spl
| h3(e12) = op2(op2(e22,e23),e22) ),
inference(forward_demodulation,[status(thm)],[f7345,f471]) ).
fof(f7674,plain,
( sQ378_spl
| h4(op1(e12,e10)) != op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f6436,f2357]) ).
fof(f7688,plain,
( ~ sQ227_spl
| op2(e21,e24) != e22 ),
inference(backward_demodulation,[status(thm)],[f1825,f340]) ).
fof(f7690,plain,
( sQ387_spl
| ~ sQ227_spl
| h4(op1(e13,e14)) != e22 ),
inference(backward_demodulation,[status(thm)],[f1825,f5912]) ).
fof(f7710,plain,
( ~ sQ127_spl
| op1(e13,e12) = e13 ),
inference(forward_demodulation,[status(thm)],[f1455,f55]) ).
fof(f7711,plain,
( ~ sQ127_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f5765,f7710]) ).
fof(f7712,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7711,f397]) ).
fof(f7713,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f7712]) ).
fof(f7714,plain,
( sQ380_spl
| h4(op1(e12,e12)) != op2(e22,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f6436,f2363]) ).
fof(f7715,plain,
( sQ380_spl
| h4(op1(e12,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f6436,f7714]) ).
fof(f7716,plain,
( sQ380_spl
| ~ sQ352_spl
| ~ sQ500_spl
| h4(op1(e12,e12)) != e23 ),
inference(forward_demodulation,[status(thm)],[f7345,f7715]) ).
fof(f7717,plain,
( sQ381_spl
| h4(op1(e12,e13)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f6436,f4149]) ).
fof(f7720,plain,
( sQ370_spl
| h4(op1(e10,e12)) != op2(h4(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f6436,f2333]) ).
fof(f7721,plain,
( sQ375_spl
| h4(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f6436,f5807]) ).
fof(f7742,plain,
( ~ sQ125_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f6723,f1067,f1448]) ).
fof(f7743,plain,
( ~ sQ125_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f6724,f1131,f1448]) ).
fof(f7744,plain,
( ~ sQ125_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f6726,f1214,f1448]) ).
fof(f7745,plain,
( ~ sQ125_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f6727,f1105,f1448]) ).
fof(f7746,plain,
( sQ271_spl
| ~ sQ125_spl
| ~ sQ255_spl
| e20 != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f6733,f6735]) ).
fof(f7747,plain,
( sQ271_spl
| ~ sQ125_spl
| ~ sQ255_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6733,f7746]) ).
fof(f7748,plain,
( sQ271_spl
| ~ sQ125_spl
| ~ sQ255_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f7747]) ).
fof(f7749,plain,
( sQ271_spl
| ~ sQ125_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7748]) ).
fof(f7750,plain,
( sQ271_spl
| ~ sQ125_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7749]) ).
fof(f7751,plain,
( sQ267_spl
| ~ sQ125_spl
| ~ sQ255_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6733,f6737]) ).
fof(f7752,plain,
( sQ267_spl
| ~ sQ125_spl
| ~ sQ255_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6733,f7751]) ).
fof(f7753,plain,
( sQ267_spl
| ~ sQ125_spl
| ~ sQ255_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f7752]) ).
fof(f7754,plain,
( sQ267_spl
| ~ sQ125_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7753]) ).
fof(f7755,plain,
( sQ267_spl
| ~ sQ125_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7754]) ).
fof(f7768,plain,
( ~ sQ78_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f6888,f1361,f1297]) ).
fof(f7769,plain,
( ~ sQ78_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f7355,f1137,f1297]) ).
fof(f7770,plain,
( ~ sQ576_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f6370,f1185,f3130]) ).
fof(f7774,plain,
( ~ sQ52_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f6886,f1278,f1214]) ).
fof(f7775,plain,
( ~ sQ101_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f7415,f1131,f1371]) ).
fof(f7778,plain,
( sQ441_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f6265,f1824,f2559]) ).
fof(f7780,plain,
( sQ379_spl
| h4(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f6436,f6439]) ).
fof(f7787,plain,
( ~ sQ201_spl
| ~ sQ530_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1742,f7486]) ).
fof(f7788,plain,
( ~ sQ201_spl
| ~ sQ530_spl ),
inference(contradiction_clause,[status(thm)],[f7787]) ).
fof(f7793,plain,
( ~ sQ567_spl
| ~ sQ255_spl
| ~ sQ175_spl ),
inference(split_clause,[status(thm)],[f6389,f1658,f1914,f3089]) ).
fof(f7795,plain,
h4(e10) = e20,
inference(forward_demodulation,[status(thm)],[f5816,f6443]) ).
fof(f7796,plain,
( sQ504_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7795,f2827]) ).
fof(f7797,plain,
sQ504_spl,
inference(contradiction_clause,[status(thm)],[f7796]) ).
fof(f7800,plain,
( sQ323_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6612,f6931]) ).
fof(f7801,plain,
sQ323_spl,
inference(contradiction_clause,[status(thm)],[f7800]) ).
fof(f7815,plain,
( sQ383_spl
| h4(op1(e13,e10)) != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f7795,f4134]) ).
fof(f7816,plain,
( sQ369_spl
| h4(op1(e10,e11)) != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f7795,f4475]) ).
fof(f7818,plain,
( sQ368_spl
| h4(op1(e10,e10)) != op2(h4(e10),e20) ),
inference(backward_demodulation,[status(thm)],[f7795,f2327]) ).
fof(f7820,plain,
( sQ371_spl
| h4(op1(e10,e13)) != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f7795,f4305]) ).
fof(f7824,plain,
( sQ383_spl
| ~ sQ255_spl
| h4(op1(e13,e10)) != e23 ),
inference(forward_demodulation,[status(thm)],[f6020,f7815]) ).
fof(f7825,plain,
( sQ369_spl
| ~ sQ255_spl
| h4(op1(e10,e11)) != e21 ),
inference(forward_demodulation,[status(thm)],[f6131,f7816]) ).
fof(f7826,plain,
( sQ368_spl
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f7795,f7818]) ).
fof(f7840,plain,
( sQ276_spl
| ~ sQ255_spl
| h1(op1(e12,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6680,f6684]) ).
fof(f7841,plain,
( sQ276_spl
| ~ sQ255_spl
| h1(op1(e12,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f7840]) ).
fof(f7842,plain,
( sQ268_spl
| ~ sQ255_spl
| h1(op1(e10,e12)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6680,f6687]) ).
fof(f7843,plain,
( sQ268_spl
| ~ sQ255_spl
| h1(op1(e10,e12)) != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f7842]) ).
fof(f7844,plain,
( sQ269_spl
| ~ sQ255_spl
| h1(op1(e10,e13)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6680,f6688]) ).
fof(f7845,plain,
( sQ269_spl
| ~ sQ255_spl
| h1(op1(e10,e13)) != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f7844]) ).
fof(f7858,plain,
( sQ270_spl
| ~ sQ255_spl
| h1(op1(e10,e14)) != op2(e20,h1(e14)) ),
inference(forward_demodulation,[status(thm)],[f6680,f2018]) ).
fof(f7859,plain,
( sQ270_spl
| ~ sQ255_spl
| h1(op1(e10,e14)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6665,f7858]) ).
fof(f7860,plain,
( sQ270_spl
| ~ sQ255_spl
| h1(op1(e10,e14)) != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f7859]) ).
fof(f7861,plain,
( sQ281_spl
| ~ sQ255_spl
| h1(op1(e13,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6680,f4778]) ).
fof(f7862,plain,
( sQ281_spl
| ~ sQ255_spl
| h1(op1(e13,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f7861]) ).
fof(f7865,plain,
( sQ286_spl
| ~ sQ255_spl
| h1(op1(e14,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f6665,f2066]) ).
fof(f7866,plain,
( sQ286_spl
| ~ sQ255_spl
| h1(op1(e14,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6680,f7865]) ).
fof(f7867,plain,
( sQ286_spl
| ~ sQ255_spl
| h1(op1(e14,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f5745,f7866]) ).
fof(f7870,plain,
( sQ627_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h2(e14) != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f7874,f3359]) ).
fof(f7874,plain,
( ~ sQ162_spl
| ~ sQ318_spl
| h2(e14) = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f7564,f4406]) ).
fof(f7883,plain,
( ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| h3(e12) = op2(e24,e22) ),
inference(backward_demodulation,[status(thm)],[f1735,f7660]) ).
fof(f7901,plain,
( ~ sQ173_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1652,f6820]) ).
fof(f7902,plain,
( ~ sQ173_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f7901]) ).
fof(f7903,plain,
( ~ sQ255_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f6821,f1731,f1914]) ).
fof(f7904,plain,
op2(e22,e22) != e20,
inference(forward_demodulation,[status(thm)],[f7795,f6441]) ).
fof(f7907,plain,
( ~ sQ168_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h2(e14) = e23 ),
inference(forward_demodulation,[status(thm)],[f7874,f1636]) ).
fof(f7910,plain,
( sQ557_spl
| ~ sQ175_spl
| e20 != op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f1659,f3049]) ).
fof(f7915,plain,
( sQ316_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h2(e14) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f7564,f4642]) ).
fof(f7916,plain,
( sQ316_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h2(e14) != h2(e14) ),
inference(forward_demodulation,[status(thm)],[f7874,f7915]) ).
fof(f7917,plain,
( sQ316_spl
| ~ sQ162_spl
| ~ sQ318_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7916]) ).
fof(f7918,plain,
( sQ316_spl
| ~ sQ162_spl
| ~ sQ318_spl ),
inference(contradiction_clause,[status(thm)],[f7917]) ).
fof(f7923,plain,
( ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ168_spl
| e23 = op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f7907,f7874]) ).
fof(f7947,plain,
( sQ372_spl
| h4(op1(e10,e14)) != op2(e20,e24) ),
inference(forward_demodulation,[status(thm)],[f7795,f5850]) ).
fof(f7948,plain,
( sQ372_spl
| ~ sQ255_spl
| h4(op1(e10,e14)) != e24 ),
inference(forward_demodulation,[status(thm)],[f6037,f7947]) ).
fof(f7971,plain,
( ~ sQ235_spl
| e20 != op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f1851,f389]) ).
fof(f8002,plain,
( ~ sQ235_spl
| e20 != h5(e11) ),
inference(forward_demodulation,[status(thm)],[f1851,f4522]) ).
fof(f8024,plain,
( sQ281_spl
| ~ sQ255_spl
| ~ sQ125_spl
| h1(e13) != e20 ),
inference(backward_demodulation,[status(thm)],[f8026,f7862]) ).
fof(f8026,plain,
( ~ sQ125_spl
| op1(e13,e10) = e13 ),
inference(forward_demodulation,[status(thm)],[f1449,f55]) ).
fof(f8027,plain,
( sQ281_spl
| ~ sQ255_spl
| ~ sQ125_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f458,f8024]) ).
fof(f8028,plain,
( sQ281_spl
| ~ sQ255_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8027]) ).
fof(f8029,plain,
( sQ281_spl
| ~ sQ255_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8028]) ).
fof(f8038,plain,
( ~ sQ125_spl
| e10 != op1(e11,e10) ),
inference(backward_demodulation,[status(thm)],[f8041,f195]) ).
fof(f8040,plain,
( ~ sQ125_spl
| e10 != op1(e10,e14) ),
inference(backward_demodulation,[status(thm)],[f8041,f248]) ).
fof(f8041,plain,
( ~ sQ125_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f1449,f48]) ).
fof(f8042,plain,
( ~ sQ125_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f8038,f1128,f1448]) ).
fof(f8043,plain,
( ~ sQ125_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f8040,f1112,f1448]) ).
fof(f8061,plain,
( ~ sQ125_spl
| op1(e10,e11) = e11 ),
inference(forward_demodulation,[status(thm)],[f1449,f50]) ).
fof(f8066,plain,
( sQ373_spl
| ~ sQ125_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f7795,f6792]) ).
fof(f8088,plain,
( ~ sQ125_spl
| e11 != op1(e11,e14) ),
inference(backward_demodulation,[status(thm)],[f8089,f258]) ).
fof(f8089,plain,
( ~ sQ125_spl
| op1(e11,e10) = e11 ),
inference(forward_demodulation,[status(thm)],[f1449,f51]) ).
fof(f8090,plain,
( ~ sQ125_spl
| op1(e10,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f1449,f52]) ).
fof(f8091,plain,
( ~ sQ125_spl
| ~ sQ13_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1090,f8090]) ).
fof(f8092,plain,
( ~ sQ125_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8091,f402]) ).
fof(f8093,plain,
( ~ sQ125_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f8092]) ).
fof(f8094,plain,
( ~ sQ2_spl
| ~ sQ125_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f8041,f1055]) ).
fof(f8095,plain,
( ~ sQ2_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8094,f396]) ).
fof(f8096,plain,
( ~ sQ2_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8095]) ).
fof(f8109,plain,
( ~ sQ1_spl
| ~ sQ125_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f8041,f1052]) ).
fof(f8110,plain,
( ~ sQ1_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8109,f395]) ).
fof(f8111,plain,
( ~ sQ1_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8110]) ).
fof(f8112,plain,
( ~ sQ8_spl
| ~ sQ125_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f8061,f1074]) ).
fof(f8113,plain,
( ~ sQ8_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8112,f400]) ).
fof(f8114,plain,
( ~ sQ8_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8113]) ).
fof(f8116,plain,
( sQ664_spl
| ~ sQ125_spl
| op1(e11,e10) != e11 ),
inference(forward_demodulation,[status(thm)],[f8089,f3526]) ).
fof(f8117,plain,
( sQ664_spl
| ~ sQ125_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f8089,f8116]) ).
fof(f8118,plain,
( sQ664_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8117]) ).
fof(f8119,plain,
( sQ664_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8118]) ).
fof(f8125,plain,
( sQ437_spl
| op1(e13,e14) != e12 ),
inference(forward_demodulation,[status(thm)],[f4254,f2544]) ).
fof(f8126,plain,
( sQ598_spl
| ~ sQ125_spl
| op1(e13,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f8026,f3228]) ).
fof(f8127,plain,
( sQ598_spl
| ~ sQ125_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f8026,f8126]) ).
fof(f8128,plain,
( sQ598_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8127]) ).
fof(f8129,plain,
( sQ598_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8128]) ).
fof(f8134,plain,
( ~ sQ594_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f6296,f1859,f3209]) ).
fof(f8135,plain,
( ~ sQ443_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f6305,f1747,f2567]) ).
fof(f8142,plain,
( ~ sQ665_spl
| ~ sQ125_spl
| op1(e11,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f8089,f3529]) ).
fof(f8146,plain,
( ~ sQ235_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f7971,f1866,f1850]) ).
fof(f8159,plain,
( ~ sQ125_spl
| e11 != op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f8061,f206]) ).
fof(f8189,plain,
( ~ sQ56_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1228,f8159]) ).
fof(f8190,plain,
( ~ sQ56_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8189]) ).
fof(f8194,plain,
( sQ388_spl
| ~ sQ125_spl
| e24 != op2(e24,e20) ),
inference(forward_demodulation,[status(thm)],[f7795,f5749]) ).
fof(f8195,plain,
( sQ388_spl
| ~ sQ125_spl
| ~ sQ255_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f6019,f8194]) ).
fof(f8196,plain,
( sQ388_spl
| ~ sQ125_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8195]) ).
fof(f8197,plain,
( sQ388_spl
| ~ sQ125_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f8196]) ).
fof(f8217,plain,
( ~ sQ125_spl
| e11 != op1(e14,e11) ),
inference(forward_demodulation,[status(thm)],[f8061,f208]) ).
fof(f8226,plain,
( sQ286_spl
| ~ sQ255_spl
| ~ sQ104_spl
| h1(e14) != e20 ),
inference(backward_demodulation,[status(thm)],[f1381,f7867]) ).
fof(f8229,plain,
( sQ286_spl
| ~ sQ255_spl
| ~ sQ104_spl
| ~ sQ448_spl ),
inference(split_clause,[status(thm)],[f8226,f2589,f1380,f1914,f2064]) ).
fof(f8246,plain,
( ~ sQ125_spl
| op1(e12,e10) = e12 ),
inference(forward_demodulation,[status(thm)],[f1449,f53]) ).
fof(f8248,plain,
( sQ269_spl
| ~ sQ255_spl
| ~ sQ125_spl
| h1(e13) != e20 ),
inference(backward_demodulation,[status(thm)],[f8254,f7845]) ).
fof(f8254,plain,
( ~ sQ125_spl
| op1(e10,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f1449,f54]) ).
fof(f8255,plain,
( sQ269_spl
| ~ sQ255_spl
| ~ sQ125_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f458,f8248]) ).
fof(f8256,plain,
( sQ269_spl
| ~ sQ255_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8255]) ).
fof(f8257,plain,
( sQ269_spl
| ~ sQ255_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8256]) ).
fof(f8265,plain,
( sQ372_spl
| ~ sQ255_spl
| ~ sQ125_spl
| h4(e14) != e24 ),
inference(backward_demodulation,[status(thm)],[f8269,f7948]) ).
fof(f8266,plain,
( sQ270_spl
| ~ sQ255_spl
| ~ sQ125_spl
| h1(e14) != e20 ),
inference(backward_demodulation,[status(thm)],[f8269,f7860]) ).
fof(f8269,plain,
( ~ sQ125_spl
| op1(e10,e14) = e14 ),
inference(forward_demodulation,[status(thm)],[f1449,f56]) ).
fof(f8270,plain,
( sQ372_spl
| ~ sQ255_spl
| ~ sQ125_spl
| ~ sQ401_spl ),
inference(split_clause,[status(thm)],[f8265,f2428,f1448,f1914,f2337]) ).
fof(f8271,plain,
( sQ270_spl
| ~ sQ255_spl
| ~ sQ125_spl
| ~ sQ448_spl ),
inference(split_clause,[status(thm)],[f8266,f2589,f1448,f1914,f2016]) ).
fof(f8289,plain,
( sQ387_spl
| ~ sQ227_spl
| ~ sQ97_spl
| h4(e12) != e22 ),
inference(backward_demodulation,[status(thm)],[f1359,f7690]) ).
fof(f8290,plain,
( sQ387_spl
| ~ sQ227_spl
| ~ sQ97_spl
| ~ sQ516_spl ),
inference(split_clause,[status(thm)],[f8289,f2875,f1358,f1824,f2382]) ).
fof(f8291,plain,
( ~ sQ387_spl
| ~ sQ97_spl
| h4(e12) = op2(h4(e13),h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f1359,f2383]) ).
fof(f8292,plain,
( ~ sQ387_spl
| ~ sQ97_spl
| e22 = op2(h4(e13),h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f6436,f8291]) ).
fof(f8293,plain,
( ~ sQ387_spl
| ~ sQ97_spl
| e22 = op2(e23,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f473,f8292]) ).
fof(f8294,plain,
( ~ sQ387_spl
| ~ sQ97_spl
| e22 = op2(e23,e24) ),
inference(forward_demodulation,[status(thm)],[f4454,f8293]) ).
fof(f8300,plain,
( sQ383_spl
| ~ sQ255_spl
| ~ sQ125_spl
| h4(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f8026,f7824]) ).
fof(f8301,plain,
( sQ383_spl
| ~ sQ255_spl
| ~ sQ125_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f473,f8300]) ).
fof(f8302,plain,
( sQ383_spl
| ~ sQ255_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8301]) ).
fof(f8303,plain,
( sQ383_spl
| ~ sQ255_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8302]) ).
fof(f8310,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1401,f6959]) ).
fof(f8311,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f8310]) ).
fof(f8328,plain,
( sQ369_spl
| ~ sQ255_spl
| ~ sQ125_spl
| h4(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f8061,f7825]) ).
fof(f8329,plain,
( sQ369_spl
| ~ sQ255_spl
| ~ sQ125_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4437,f8328]) ).
fof(f8330,plain,
( sQ369_spl
| ~ sQ255_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8329]) ).
fof(f8331,plain,
( sQ369_spl
| ~ sQ255_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8330]) ).
fof(f8350,plain,
( ~ sQ48_spl
| op1(e11,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f1202,f263]) ).
fof(f8353,plain,
( sQ275_spl
| ~ sQ255_spl
| ~ sQ48_spl
| h1(e13) != e20 ),
inference(backward_demodulation,[status(thm)],[f1202,f7241]) ).
fof(f8354,plain,
( ~ sQ48_spl
| op1(e11,e13) != e13 ),
inference(backward_demodulation,[status(thm)],[f1202,f264]) ).
fof(f8358,plain,
( sQ275_spl
| ~ sQ255_spl
| ~ sQ48_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f458,f8353]) ).
fof(f8359,plain,
( sQ275_spl
| ~ sQ255_spl
| ~ sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8358]) ).
fof(f8360,plain,
( sQ275_spl
| ~ sQ255_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f8359]) ).
fof(f8375,plain,
( ~ sQ689_spl
| ~ sQ125_spl
| op1(e11,e11) = e10 ),
inference(forward_demodulation,[status(thm)],[f8061,f3640]) ).
fof(f8378,plain,
( ~ sQ48_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f8354,f1185,f1201]) ).
fof(f8379,plain,
( ~ sQ689_spl
| ~ sQ125_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f8375,f1144,f1448,f3639]) ).
fof(f8380,plain,
( sQ597_spl
| ~ sQ125_spl
| e13 != op1(e13,e10) ),
inference(forward_demodulation,[status(thm)],[f8254,f3224]) ).
fof(f8381,plain,
( sQ597_spl
| ~ sQ125_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f8026,f8380]) ).
fof(f8382,plain,
( sQ597_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8381]) ).
fof(f8383,plain,
( sQ597_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8382]) ).
fof(f8384,plain,
( sQ561_spl
| ~ sQ125_spl
| e14 != op1(e14,e10) ),
inference(forward_demodulation,[status(thm)],[f8269,f3066]) ).
fof(f8385,plain,
( sQ561_spl
| ~ sQ125_spl
| ~ sQ104_spl
| e14 != e14 ),
inference(forward_demodulation,[status(thm)],[f1381,f8384]) ).
fof(f8386,plain,
( sQ561_spl
| ~ sQ125_spl
| ~ sQ104_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8385]) ).
fof(f8387,plain,
( sQ561_spl
| ~ sQ125_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f8386]) ).
fof(f8389,plain,
( ~ sQ106_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1388,f8217]) ).
fof(f8390,plain,
( ~ sQ106_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8389]) ).
fof(f8391,plain,
( ~ sQ665_spl
| ~ sQ125_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f8142,f1144,f1448,f3528]) ).
fof(f8394,plain,
( sQ437_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f8125,f1358,f2542]) ).
fof(f8395,plain,
( sQ632_spl
| ~ sQ125_spl
| op1(e12,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f8246,f3380]) ).
fof(f8396,plain,
( sQ632_spl
| ~ sQ125_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f8246,f8395]) ).
fof(f8397,plain,
( sQ632_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8396]) ).
fof(f8398,plain,
( sQ632_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8397]) ).
fof(f8406,plain,
( sQ684_spl
| ~ sQ125_spl
| op1(e12,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f6725,f3617]) ).
fof(f8407,plain,
( sQ684_spl
| ~ sQ125_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f8246,f8406]) ).
fof(f8408,plain,
( sQ684_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8407]) ).
fof(f8409,plain,
( sQ684_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8408]) ).
fof(f8410,plain,
( ~ sQ683_spl
| ~ sQ125_spl
| op1(e12,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f6725,f3612]) ).
fof(f8411,plain,
( ~ sQ683_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8410,f7155]) ).
fof(f8412,plain,
( ~ sQ683_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8411]) ).
fof(f8413,plain,
( ~ sQ11_spl
| ~ sQ125_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f6725,f1084]) ).
fof(f8414,plain,
( ~ sQ11_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8413,f399]) ).
fof(f8415,plain,
( ~ sQ11_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8414]) ).
fof(f8417,plain,
( sQ663_spl
| ~ sQ125_spl
| e11 != op1(e11,e10) ),
inference(forward_demodulation,[status(thm)],[f8061,f3522]) ).
fof(f8418,plain,
( sQ663_spl
| ~ sQ125_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f8089,f8417]) ).
fof(f8419,plain,
( sQ663_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8418]) ).
fof(f8420,plain,
( sQ663_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8419]) ).
fof(f8422,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1241,f7155]) ).
fof(f8423,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f8422]) ).
fof(f8424,plain,
( ~ sQ545_spl
| ~ sQ70_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f6171,f1400,f1272,f2996]) ).
fof(f8425,plain,
( ~ sQ671_spl
| ~ sQ125_spl
| op1(e14,e14) = e10 ),
inference(forward_demodulation,[status(thm)],[f8269,f3556]) ).
fof(f8427,plain,
( sQ378_spl
| ~ sQ125_spl
| h4(e12) != op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f8246,f7674]) ).
fof(f8428,plain,
( sQ378_spl
| ~ sQ125_spl
| e22 != op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f6436,f8427]) ).
fof(f8429,plain,
( sQ378_spl
| ~ sQ125_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f7795,f8428]) ).
fof(f8430,plain,
( sQ378_spl
| ~ sQ125_spl
| ~ sQ255_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f6145,f8429]) ).
fof(f8431,plain,
( sQ378_spl
| ~ sQ125_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8430]) ).
fof(f8432,plain,
( sQ378_spl
| ~ sQ125_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f8431]) ).
fof(f8453,plain,
( sQ627_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ168_spl
| e23 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f7907,f7870]) ).
fof(f8454,plain,
( sQ627_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ168_spl
| ~ sQ188_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1700,f8453]) ).
fof(f8455,plain,
( sQ627_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ168_spl
| ~ sQ188_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8454]) ).
fof(f8456,plain,
( sQ627_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ168_spl
| ~ sQ188_spl ),
inference(contradiction_clause,[status(thm)],[f8455]) ).
fof(f8458,plain,
( ~ sQ628_spl
| ~ sQ188_spl
| op2(e23,e21) = e22 ),
inference(forward_demodulation,[status(thm)],[f1700,f3362]) ).
fof(f8459,plain,
( ~ sQ628_spl
| ~ sQ188_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f4290,f8458]) ).
fof(f8460,plain,
( ~ sQ628_spl
| ~ sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8459,f413]) ).
fof(f8461,plain,
( ~ sQ628_spl
| ~ sQ188_spl ),
inference(contradiction_clause,[status(thm)],[f8460]) ).
fof(f8462,plain,
( ~ sQ654_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ168_spl
| op2(e23,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f7923,f3480]) ).
fof(f8463,plain,
( ~ sQ654_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ168_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f5816,f8462]) ).
fof(f8464,plain,
( ~ sQ654_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8463,f405]) ).
fof(f8465,plain,
( ~ sQ654_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ168_spl ),
inference(contradiction_clause,[status(thm)],[f8464]) ).
fof(f8470,plain,
( ~ sQ352_spl
| h3(e14) = op2(e22,h3(e11)) ),
inference(backward_demodulation,[status(thm)],[f6421,f472]) ).
fof(f8471,plain,
( ~ sQ352_spl
| sQ350_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8470,f4510]) ).
fof(f8472,plain,
( ~ sQ352_spl
| sQ350_spl ),
inference(contradiction_clause,[status(thm)],[f8471]) ).
fof(f8475,plain,
( sQ370_spl
| ~ sQ125_spl
| h4(e12) != op2(h4(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f6725,f7720]) ).
fof(f8476,plain,
( sQ370_spl
| ~ sQ125_spl
| e22 != op2(h4(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f6436,f8475]) ).
fof(f8477,plain,
( sQ370_spl
| ~ sQ125_spl
| e22 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f7795,f8476]) ).
fof(f8499,plain,
( ~ sQ102_spl
| ~ sQ104_spl
| e14 = e12 ),
inference(forward_demodulation,[status(thm)],[f1381,f1375]) ).
fof(f8500,plain,
( ~ sQ102_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8499,f403]) ).
fof(f8501,plain,
( ~ sQ102_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f8500]) ).
fof(f8506,plain,
( sQ631_spl
| ~ sQ125_spl
| e12 != op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f6725,f3376]) ).
fof(f8507,plain,
( sQ631_spl
| ~ sQ125_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f8246,f8506]) ).
fof(f8508,plain,
( sQ631_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8507]) ).
fof(f8509,plain,
( sQ631_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8508]) ).
fof(f8513,plain,
( ~ sQ633_spl
| ~ sQ125_spl
| op1(e12,e12) = e10 ),
inference(forward_demodulation,[status(thm)],[f8246,f3383]) ).
fof(f8514,plain,
( ~ sQ633_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8513,f7155]) ).
fof(f8515,plain,
( ~ sQ633_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8514]) ).
fof(f8540,plain,
( ~ sQ125_spl
| e11 != op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f8089,f256]) ).
fof(f8541,plain,
( ~ sQ125_spl
| e12 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f8246,f266]) ).
fof(f8547,plain,
( ~ sQ379_spl
| h4(op1(e12,e11)) = op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f6436,f2359]) ).
fof(f8548,plain,
( ~ sQ379_spl
| h4(op1(e12,e11)) = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f4437,f8547]) ).
fof(f8550,plain,
( ~ sQ57_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f7201,f1214,f1230]) ).
fof(f8556,plain,
( ~ sQ36_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1164,f8540]) ).
fof(f8557,plain,
( ~ sQ36_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8556]) ).
fof(f8565,plain,
( ~ sQ125_spl
| e13 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f8254,f226]) ).
fof(f8597,plain,
( ~ sQ352_spl
| h3(e11) != e20 ),
inference(forward_demodulation,[status(thm)],[f6421,f7904]) ).
fof(f8611,plain,
( sQ268_spl
| ~ sQ255_spl
| ~ sQ125_spl
| h1(e12) != e20 ),
inference(forward_demodulation,[status(thm)],[f6725,f7843]) ).
fof(f8612,plain,
( sQ268_spl
| ~ sQ255_spl
| ~ sQ125_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6382,f8611]) ).
fof(f8613,plain,
( sQ268_spl
| ~ sQ255_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8612]) ).
fof(f8614,plain,
( sQ268_spl
| ~ sQ255_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8613]) ).
fof(f8621,plain,
( ~ sQ197_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1729,f6445]) ).
fof(f8622,plain,
~ sQ197_spl,
inference(contradiction_clause,[status(thm)],[f8621]) ).
fof(f8639,plain,
( ~ sQ178_spl
| ~ sQ175_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1659,f1668]) ).
fof(f8640,plain,
( ~ sQ178_spl
| ~ sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8639,f407]) ).
fof(f8641,plain,
( ~ sQ178_spl
| ~ sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f8640]) ).
fof(f8642,plain,
( sQ609_spl
| ~ sQ201_spl
| op2(e21,e22) != e24 ),
inference(forward_demodulation,[status(thm)],[f1742,f3277]) ).
fof(f8644,plain,
( ~ sQ551_spl
| ~ sQ241_spl
| op2(e21,e24) = e22 ),
inference(forward_demodulation,[status(thm)],[f1870,f3022]) ).
fof(f8645,plain,
( ~ sQ586_spl
| op2(e20,e22) = e23 ),
inference(forward_demodulation,[status(thm)],[f5816,f3176]) ).
fof(f8660,plain,
( sQ557_spl
| ~ sQ175_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f7910,f1850,f1658,f3047]) ).
fof(f8670,plain,
( ~ sQ195_spl
| sQ585_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1723,f7473]) ).
fof(f8671,plain,
( ~ sQ195_spl
| sQ585_spl ),
inference(contradiction_clause,[status(thm)],[f8670]) ).
fof(f8673,plain,
( sQ549_spl
| ~ sQ201_spl
| e21 != op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f1742,f3015]) ).
fof(f8674,plain,
( sQ549_spl
| ~ sQ201_spl
| ~ sQ241_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1870,f8673]) ).
fof(f8675,plain,
( sQ549_spl
| ~ sQ201_spl
| ~ sQ241_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8674]) ).
fof(f8676,plain,
( sQ549_spl
| ~ sQ201_spl
| ~ sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f8675]) ).
fof(f8677,plain,
( ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| h3(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f1870,f7883]) ).
fof(f8678,plain,
( ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| sQ491_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8677,f2772]) ).
fof(f8679,plain,
( ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| sQ491_spl ),
inference(contradiction_clause,[status(thm)],[f8678]) ).
fof(f8693,plain,
( sQ609_spl
| ~ sQ201_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f8642,f1638,f1741,f3275]) ).
fof(f8694,plain,
( ~ sQ240_spl
| ~ sQ241_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1870,f1867]) ).
fof(f8695,plain,
( ~ sQ240_spl
| ~ sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8694,f405]) ).
fof(f8696,plain,
( ~ sQ240_spl
| ~ sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f8695]) ).
fof(f8711,plain,
( sQ497_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f468,f2797]) ).
fof(f8712,plain,
( sQ497_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8711]) ).
fof(f8713,plain,
sQ497_spl,
inference(contradiction_clause,[status(thm)],[f8712]) ).
fof(f8714,plain,
( sQ672_spl
| ~ sQ125_spl
| op1(e14,e10) != e14 ),
inference(forward_demodulation,[status(thm)],[f8269,f3561]) ).
fof(f8715,plain,
( sQ672_spl
| ~ sQ125_spl
| ~ sQ104_spl
| e14 != e14 ),
inference(forward_demodulation,[status(thm)],[f1381,f8714]) ).
fof(f8716,plain,
( sQ672_spl
| ~ sQ125_spl
| ~ sQ104_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8715]) ).
fof(f8717,plain,
( sQ672_spl
| ~ sQ125_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f8716]) ).
fof(f8743,plain,
( ~ sQ500_spl
| ~ sQ364_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f2310,f2809]) ).
fof(f8744,plain,
( ~ sQ500_spl
| ~ sQ364_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8743,f414]) ).
fof(f8745,plain,
( ~ sQ500_spl
| ~ sQ364_spl ),
inference(contradiction_clause,[status(thm)],[f8744]) ).
fof(f8752,plain,
( sQ408_spl
| ~ sQ525_spl
| h5(op1(e11,e11)) != op2(h5(e11),e20) ),
inference(backward_demodulation,[status(thm)],[f2914,f2452]) ).
fof(f8756,plain,
( sQ408_spl
| ~ sQ525_spl
| h5(op1(e11,e11)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2914,f8752]) ).
fof(f8761,plain,
( ~ sQ479_spl
| ~ sQ464_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2658,f2721]) ).
fof(f8762,plain,
( ~ sQ479_spl
| ~ sQ464_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8761,f407]) ).
fof(f8763,plain,
( ~ sQ479_spl
| ~ sQ464_spl ),
inference(contradiction_clause,[status(thm)],[f8762]) ).
fof(f8781,plain,
( sQ357_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| e21 != op2(h3(e14),e22) ),
inference(backward_demodulation,[status(thm)],[f8677,f6944]) ).
fof(f8810,plain,
( ~ sQ193_spl
| ~ sQ352_spl
| e23 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f7322,f470]) ).
fof(f8818,plain,
( sQ340_spl
| ~ sQ193_spl
| ~ sQ352_spl
| h3(op1(e11,e11)) != op2(e23,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f7322,f2238]) ).
fof(f8819,plain,
( sQ340_spl
| ~ sQ193_spl
| ~ sQ352_spl
| h3(op1(e11,e11)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f7322,f8818]) ).
fof(f8820,plain,
( sQ340_spl
| ~ sQ193_spl
| ~ sQ352_spl
| h3(op1(e11,e11)) != e21 ),
inference(forward_demodulation,[status(thm)],[f455,f8819]) ).
fof(f8821,plain,
( ~ sQ53_spl
| ~ sQ125_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f8246,f1218]) ).
fof(f8822,plain,
( ~ sQ53_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8821,f402]) ).
fof(f8823,plain,
( ~ sQ53_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8822]) ).
fof(f8824,plain,
( ~ sQ50_spl
| ~ sQ125_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f8246,f1209]) ).
fof(f8825,plain,
( ~ sQ50_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8824,f396]) ).
fof(f8826,plain,
( ~ sQ50_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8825]) ).
fof(f8828,plain,
( sQ276_spl
| ~ sQ255_spl
| ~ sQ125_spl
| h1(e12) != e20 ),
inference(forward_demodulation,[status(thm)],[f8246,f7841]) ).
fof(f8829,plain,
( sQ276_spl
| ~ sQ255_spl
| ~ sQ125_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6382,f8828]) ).
fof(f8830,plain,
( sQ276_spl
| ~ sQ255_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8829]) ).
fof(f8831,plain,
( sQ276_spl
| ~ sQ255_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f8830]) ).
fof(f8840,plain,
( ~ sQ113_spl
| e13 != op1(e14,e14) ),
inference(backward_demodulation,[status(thm)],[f1410,f293]) ).
fof(f8842,plain,
( ~ sQ113_spl
| op1(e14,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f1410,f289]) ).
fof(f8847,plain,
( ~ sQ113_spl
| op1(e11,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f1410,f221]) ).
fof(f8848,plain,
( ~ sQ113_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f8840,f1441,f1409]) ).
fof(f8862,plain,
( ~ sQ589_spl
| op1(e11,e12) != e14 ),
inference(backward_demodulation,[status(thm)],[f5904,f262]) ).
fof(f8868,plain,
( ~ sQ589_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f8862,f1172,f3188]) ).
fof(f8883,plain,
( ~ sQ70_spl
| op1(e12,e13) != e10 ),
inference(backward_demodulation,[status(thm)],[f1273,f274]) ).
fof(f8886,plain,
( ~ sQ70_spl
| op1(e11,e14) != e10 ),
inference(backward_demodulation,[status(thm)],[f1273,f239]) ).
fof(f8899,plain,
( ~ sQ352_spl
| ~ sQ193_spl
| h3(e14) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f7322,f8470]) ).
fof(f8927,plain,
( sQ377_spl
| ~ sQ48_spl
| h4(e13) != op2(e21,e24) ),
inference(backward_demodulation,[status(thm)],[f1202,f5886]) ).
fof(f8933,plain,
( sQ377_spl
| ~ sQ48_spl
| e23 != op2(e21,e24) ),
inference(forward_demodulation,[status(thm)],[f473,f8927]) ).
fof(f8937,plain,
( ~ sQ58_spl
| e13 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f1234,f269]) ).
fof(f8941,plain,
( ~ sQ58_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f8937,f1249,f1233]) ).
fof(f8942,plain,
( ~ sQ73_spl
| ~ sQ70_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1273,f1282]) ).
fof(f8943,plain,
( ~ sQ73_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8942,f397]) ).
fof(f8944,plain,
( ~ sQ73_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f8943]) ).
fof(f8948,plain,
( ~ sQ379_spl
| ~ sQ58_spl
| h4(e13) = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1234,f8548]) ).
fof(f8949,plain,
( ~ sQ379_spl
| ~ sQ58_spl
| e23 = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f473,f8948]) ).
fof(f8974,plain,
( ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| e21 = op2(op2(e22,e23),e22) ),
inference(forward_demodulation,[status(thm)],[f8677,f7660]) ).
fof(f8975,plain,
( ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| ~ sQ193_spl
| e21 = op2(h3(e14),e22) ),
inference(forward_demodulation,[status(thm)],[f8899,f8974]) ).
fof(f8977,plain,
( ~ sQ531_spl
| e21 = op2(h5(e14),e24) ),
inference(forward_demodulation,[status(thm)],[f2939,f4484]) ).
fof(f8978,plain,
( ~ sQ525_spl
| h5(e14) = op2(e24,e20) ),
inference(forward_demodulation,[status(thm)],[f2914,f4485]) ).
fof(f8979,plain,
( ~ sQ531_spl
| ~ sQ525_spl
| ~ sQ255_spl
| e21 = op2(e24,e24) ),
inference(backward_demodulation,[status(thm)],[f8983,f8977]) ).
fof(f8983,plain,
( ~ sQ525_spl
| ~ sQ255_spl
| h5(e14) = e24 ),
inference(forward_demodulation,[status(thm)],[f6019,f8978]) ).
fof(f8984,plain,
( ~ sQ531_spl
| ~ sQ525_spl
| ~ sQ255_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f8979,f1901,f1914,f2913,f2938]) ).
fof(f8999,plain,
( ~ sQ193_spl
| ~ sQ352_spl
| op2(e22,e21) != e23 ),
inference(forward_demodulation,[status(thm)],[f8810,f369]) ).
fof(f9006,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1151,f1154]) ).
fof(f9007,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9006,f402]) ).
fof(f9008,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f9007]) ).
fof(f9013,plain,
( ~ sQ125_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f8088,f1195,f1448]) ).
fof(f9016,plain,
( sQ377_spl
| ~ sQ48_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f8933,f1667,f1201,f2352]) ).
fof(f9018,plain,
( sQ392_spl
| h4(op1(e14,e14)) != h5(e11) ),
inference(forward_demodulation,[status(thm)],[f480,f5658]) ).
fof(f9020,plain,
( sQ374_spl
| ~ sQ162_spl
| ~ sQ32_spl
| h4(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f1151,f4943]) ).
fof(f9021,plain,
( sQ374_spl
| ~ sQ162_spl
| ~ sQ32_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f6436,f9020]) ).
fof(f9022,plain,
( sQ374_spl
| ~ sQ162_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9021]) ).
fof(f9023,plain,
( sQ374_spl
| ~ sQ162_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f9022]) ).
fof(f9024,plain,
( sQ357_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| ~ sQ193_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f8975,f8781]) ).
fof(f9025,plain,
( sQ357_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| ~ sQ193_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9024]) ).
fof(f9026,plain,
( sQ357_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| ~ sQ193_spl ),
inference(contradiction_clause,[status(thm)],[f9025]) ).
fof(f9042,plain,
( sQ340_spl
| ~ sQ193_spl
| ~ sQ352_spl
| ~ sQ32_spl
| h3(e12) != e21 ),
inference(forward_demodulation,[status(thm)],[f1151,f8820]) ).
fof(f9043,plain,
( sQ340_spl
| ~ sQ193_spl
| ~ sQ352_spl
| ~ sQ32_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f8677,f9042]) ).
fof(f9044,plain,
( sQ340_spl
| ~ sQ193_spl
| ~ sQ352_spl
| ~ sQ32_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9043]) ).
fof(f9045,plain,
( sQ340_spl
| ~ sQ193_spl
| ~ sQ352_spl
| ~ sQ32_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f9044]) ).
fof(f9058,plain,
( ~ sQ125_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f8565,f1265,f1448]) ).
fof(f9059,plain,
( ~ sQ48_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f8350,f1169,f1201]) ).
fof(f9080,plain,
( sQ272_spl
| ~ sQ255_spl
| ~ sQ32_spl
| h1(e12) != e20 ),
inference(forward_demodulation,[status(thm)],[f1151,f7236]) ).
fof(f9081,plain,
( sQ272_spl
| ~ sQ255_spl
| ~ sQ32_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6382,f9080]) ).
fof(f9082,plain,
( sQ272_spl
| ~ sQ255_spl
| ~ sQ32_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9081]) ).
fof(f9083,plain,
( sQ272_spl
| ~ sQ255_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f9082]) ).
fof(f9113,plain,
( ~ sQ250_spl
| h5(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f480,f1899]) ).
fof(f9114,plain,
( ~ sQ250_spl
| sQ525_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9113,f2915]) ).
fof(f9115,plain,
( ~ sQ250_spl
| sQ525_spl ),
inference(contradiction_clause,[status(thm)],[f9114]) ).
fof(f9124,plain,
( ~ sQ238_spl
| sQ594_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1860,f5884]) ).
fof(f9125,plain,
( ~ sQ238_spl
| sQ594_spl ),
inference(contradiction_clause,[status(thm)],[f9124]) ).
fof(f9145,plain,
( sQ375_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h4(op1(e11,e12)) != h2(e14) ),
inference(forward_demodulation,[status(thm)],[f7874,f7721]) ).
fof(f9160,plain,
( ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ169_spl
| e24 = op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f9166,f7874]) ).
fof(f9161,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h2(e12) = op2(e24,e21) ),
inference(backward_demodulation,[status(thm)],[f9166,f6612]) ).
fof(f9166,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h2(e14) = e24 ),
inference(forward_demodulation,[status(thm)],[f7874,f1639]) ).
fof(f9168,plain,
( sQ333_spl
| ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f9166,f2216]) ).
fof(f9169,plain,
( sQ333_spl
| ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9168]) ).
fof(f9170,plain,
( sQ333_spl
| ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl ),
inference(contradiction_clause,[status(thm)],[f9169]) ).
fof(f9189,plain,
( ~ sQ235_spl
| ~ sQ530_spl
| e20 = op2(e24,h5(e11)) ),
inference(forward_demodulation,[status(thm)],[f7092,f4485]) ).
fof(f9191,plain,
( ~ sQ558_spl
| ~ sQ235_spl
| ~ sQ530_spl
| op2(e20,e21) = e24 ),
inference(backward_demodulation,[status(thm)],[f9195,f3052]) ).
fof(f9195,plain,
( ~ sQ235_spl
| ~ sQ530_spl
| e20 = op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f2935,f9189]) ).
fof(f9197,plain,
( ~ sQ558_spl
| ~ sQ235_spl
| ~ sQ530_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f9191,f1542,f2934,f1850,f3051]) ).
fof(f9254,plain,
( ~ sQ111_spl
| e11 != op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f1404,f293]) ).
fof(f9342,plain,
( ~ sQ651_spl
| ~ sQ39_spl
| op1(e14,e12) = e11 ),
inference(forward_demodulation,[status(thm)],[f1173,f3466]) ).
fof(f9387,plain,
( sQ614_spl
| ~ sQ199_spl
| op2(e24,e23) != e22 ),
inference(backward_demodulation,[status(thm)],[f1735,f3301]) ).
fof(f9389,plain,
( sQ614_spl
| ~ sQ199_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f9387,f1888,f1734,f3299]) ).
fof(f9391,plain,
( sQ408_spl
| ~ sQ525_spl
| ~ sQ32_spl
| h5(e12) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1151,f8756]) ).
fof(f9392,plain,
( sQ370_spl
| ~ sQ125_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f8477,f1552,f1448,f2331]) ).
fof(f9403,plain,
( sQ371_spl
| ~ sQ125_spl
| h4(e13) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f8254,f7820]) ).
fof(f9404,plain,
( sQ371_spl
| ~ sQ125_spl
| e23 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f473,f9403]) ).
fof(f9405,plain,
( sQ368_spl
| ~ sQ125_spl
| h4(e10) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f8041,f7826]) ).
fof(f9406,plain,
( sQ368_spl
| ~ sQ125_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f7795,f9405]) ).
fof(f9431,plain,
op2(e20,e22) != e20,
inference(forward_demodulation,[status(thm)],[f5816,f317]) ).
fof(f9438,plain,
op2(e24,e20) != e22,
inference(forward_demodulation,[status(thm)],[f4282,f387]) ).
fof(f9457,plain,
( sQ380_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ63_spl
| h4(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f1250,f7716]) ).
fof(f9458,plain,
( sQ380_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ63_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f473,f9457]) ).
fof(f9459,plain,
( sQ380_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9458]) ).
fof(f9460,plain,
( sQ380_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f9459]) ).
fof(f9461,plain,
( sQ379_spl
| ~ sQ55_spl
| h4(e10) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1225,f7780]) ).
fof(f9462,plain,
( sQ379_spl
| ~ sQ55_spl
| e20 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f7795,f9461]) ).
fof(f9493,plain,
( ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1703,f4287]) ).
fof(f9494,plain,
~ sQ189_spl,
inference(contradiction_clause,[status(thm)],[f9493]) ).
fof(f9497,plain,
( sQ545_spl
| ~ sQ71_spl
| e11 != op1(e14,e12) ),
inference(forward_demodulation,[status(thm)],[f1276,f2998]) ).
fof(f9498,plain,
( sQ545_spl
| ~ sQ71_spl
| ~ sQ111_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1404,f9497]) ).
fof(f9499,plain,
( sQ545_spl
| ~ sQ71_spl
| ~ sQ111_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9498]) ).
fof(f9500,plain,
( sQ545_spl
| ~ sQ71_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f9499]) ).
fof(f9509,plain,
( sQ640_spl
| ~ sQ48_spl
| op1(e13,e11) != e14 ),
inference(forward_demodulation,[status(thm)],[f1202,f3415]) ).
fof(f9510,plain,
( sQ640_spl
| ~ sQ48_spl
| e14 != e14 ),
inference(forward_demodulation,[status(thm)],[f4262,f9509]) ).
fof(f9511,plain,
( sQ640_spl
| ~ sQ48_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9510]) ).
fof(f9512,plain,
( sQ640_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f9511]) ).
fof(f9519,plain,
( ~ sQ639_spl
| ~ sQ48_spl
| op1(e13,e14) = e11 ),
inference(forward_demodulation,[status(thm)],[f1202,f3410]) ).
fof(f9520,plain,
( ~ sQ639_spl
| ~ sQ48_spl
| ~ sQ97_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1359,f9519]) ).
fof(f9521,plain,
( ~ sQ639_spl
| ~ sQ48_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9520,f399]) ).
fof(f9522,plain,
( ~ sQ639_spl
| ~ sQ48_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f9521]) ).
fof(f9523,plain,
( ~ sQ671_spl
| ~ sQ125_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f8425,f1432,f1448,f3555]) ).
fof(f9524,plain,
( ~ sQ583_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f6356,f1102,f3162]) ).
fof(f9532,plain,
( ~ sQ599_spl
| ~ sQ125_spl
| op1(e13,e13) = e10 ),
inference(forward_demodulation,[status(thm)],[f8026,f3231]) ).
fof(f9533,plain,
( ~ sQ599_spl
| ~ sQ125_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f451,f9532]) ).
fof(f9534,plain,
( ~ sQ599_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9533,f395]) ).
fof(f9535,plain,
( ~ sQ599_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f9534]) ).
fof(f9540,plain,
( ~ sQ243_spl
| ~ sQ238_spl ),
inference(split_clause,[status(thm)],[f6925,f1859,f1875]) ).
fof(f9541,plain,
( ~ sQ586_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f8645,f1555,f3175]) ).
fof(f9545,plain,
( sQ375_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ39_spl
| h4(e14) != h2(e14) ),
inference(forward_demodulation,[status(thm)],[f1173,f9145]) ).
fof(f9546,plain,
( sQ375_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ39_spl
| e24 != h2(e14) ),
inference(forward_demodulation,[status(thm)],[f4454,f9545]) ).
fof(f9554,plain,
( ~ sQ379_spl
| ~ sQ58_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f8949,f1699,f1233,f2358]) ).
fof(f9555,plain,
( ~ sQ125_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f8541,f1246,f1448]) ).
fof(f9558,plain,
( ~ sQ70_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f8886,f1192,f1272]) ).
fof(f9560,plain,
( ~ sQ651_spl
| ~ sQ39_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f9342,f1403,f1172,f3465]) ).
fof(f9568,plain,
( ~ sQ45_spl
| ~ sQ48_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f1202,f1193]) ).
fof(f9569,plain,
( ~ sQ45_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9568,f397]) ).
fof(f9570,plain,
( ~ sQ45_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f9569]) ).
fof(f9578,plain,
( ~ sQ235_spl
| ~ sQ525_spl ),
inference(split_clause,[status(thm)],[f8002,f2913,f1850]) ).
fof(f9585,plain,
( sQ415_spl
| ~ sQ434_spl
| ~ sQ69_spl
| h5(e14) != op2(h5(e12),e24) ),
inference(forward_demodulation,[status(thm)],[f1269,f5139]) ).
fof(f9588,plain,
( sQ410_spl
| ~ sQ434_spl
| ~ sQ40_spl
| h5(e10) != op2(h5(e11),e24) ),
inference(forward_demodulation,[status(thm)],[f1177,f4001]) ).
fof(f9603,plain,
( sQ376_spl
| ~ sQ40_spl
| h4(e10) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1177,f4478]) ).
fof(f9604,plain,
( sQ376_spl
| ~ sQ40_spl
| e20 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f7795,f9603]) ).
fof(f9654,plain,
( ~ sQ253_spl
| op2(e24,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f4548,f4515]) ).
fof(f9662,plain,
( ~ sQ253_spl
| ~ sQ243_spl ),
inference(split_clause,[status(thm)],[f9654,f1875,f1907]) ).
fof(f9699,plain,
( sQ381_spl
| ~ sQ69_spl
| h4(e14) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1269,f7717]) ).
fof(f9700,plain,
( sQ381_spl
| ~ sQ69_spl
| e24 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f4454,f9699]) ).
fof(f9748,plain,
( ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1547,f9431]) ).
fof(f9749,plain,
~ sQ140_spl,
inference(contradiction_clause,[status(thm)],[f9748]) ).
fof(f9763,plain,
( ~ sQ113_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f8847,f1169,f1409]) ).
fof(f9770,plain,
( ~ sQ193_spl
| ~ sQ352_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f8999,f1699,f2272,f1715]) ).
fof(f9771,plain,
( ~ sQ148_spl
| sQ371_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1572,f9404]) ).
fof(f9772,plain,
( ~ sQ148_spl
| sQ371_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f9771]) ).
fof(f9786,plain,
( ~ sQ551_spl
| ~ sQ241_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f8644,f1664,f1869,f3021]) ).
fof(f9789,plain,
( ~ sQ156_spl
| sQ373_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1598,f8066]) ).
fof(f9790,plain,
( ~ sQ156_spl
| sQ373_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f9789]) ).
fof(f9796,plain,
( sQ375_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ39_spl
| ~ sQ333_spl ),
inference(split_clause,[status(thm)],[f9546,f2214,f1172,f2165,f1616,f2346]) ).
fof(f9813,plain,
( ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1873,f6606]) ).
fof(f9814,plain,
~ sQ242_spl,
inference(contradiction_clause,[status(thm)],[f9813]) ).
fof(f9843,plain,
( ~ sQ565_spl
| ~ sQ152_spl
| e22 = op2(e24,e20) ),
inference(forward_demodulation,[status(thm)],[f1585,f3082]) ).
fof(f9844,plain,
( ~ sQ565_spl
| ~ sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9843,f9438]) ).
fof(f9845,plain,
( ~ sQ565_spl
| ~ sQ152_spl ),
inference(contradiction_clause,[status(thm)],[f9844]) ).
fof(f9856,plain,
( ~ sQ130_spl
| sQ368_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1515,f9406]) ).
fof(f9857,plain,
( ~ sQ130_spl
| sQ368_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f9856]) ).
fof(f9868,plain,
( ~ sQ257_spl
| op2(e20,e22) = e20 ),
inference(forward_demodulation,[status(thm)],[f1921,f135]) ).
fof(f9869,plain,
( ~ sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9868,f9431]) ).
fof(f9870,plain,
~ sQ257_spl,
inference(contradiction_clause,[status(thm)],[f9869]) ).
fof(f9886,plain,
( ~ sQ227_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f7688,f1664,f1824]) ).
fof(f9989,plain,
( ~ sQ255_spl
| op2(e20,e23) = e23 ),
inference(forward_demodulation,[status(thm)],[f1915,f140]) ).
fof(f9994,plain,
( ~ sQ255_spl
| op2(e20,e24) = e24 ),
inference(forward_demodulation,[status(thm)],[f1915,f142]) ).
fof(f10003,plain,
( ~ sQ255_spl
| op2(e24,e20) = e24 ),
inference(forward_demodulation,[status(thm)],[f1915,f143]) ).
fof(f10005,plain,
( ~ sQ255_spl
| op2(e20,e20) = e20 ),
inference(forward_demodulation,[status(thm)],[f1915,f134]) ).
fof(f10021,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h2(e12) = op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f9166,f6612]) ).
fof(f10062,plain,
( sQ390_spl
| ~ sQ516_spl
| ~ sQ111_spl
| h4(e11) != op2(e24,e22) ),
inference(backward_demodulation,[status(thm)],[f1404,f6472]) ).
fof(f10063,plain,
( sQ390_spl
| ~ sQ516_spl
| ~ sQ111_spl
| e21 != op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f4437,f10062]) ).
fof(f10091,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h2(e10) = op2(e21,op2(e24,e21)) ),
inference(forward_demodulation,[status(thm)],[f9166,f6611]) ).
fof(f10133,plain,
( sQ287_spl
| ~ sQ255_spl
| h1(op1(e14,e11)) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f6665,f2069]) ).
fof(f10134,plain,
( sQ287_spl
| ~ sQ255_spl
| h1(op1(e14,e11)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6733,f10133]) ).
fof(f10135,plain,
( sQ287_spl
| ~ sQ255_spl
| h1(op1(e14,e11)) != e20 ),
inference(forward_demodulation,[status(thm)],[f10005,f10134]) ).
fof(f10150,plain,
( sQ287_spl
| ~ sQ255_spl
| ~ sQ105_spl
| h1(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f1385,f10135]) ).
fof(f10157,plain,
( sQ287_spl
| ~ sQ255_spl
| ~ sQ105_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f6680,f10150]) ).
fof(f10158,plain,
( sQ287_spl
| ~ sQ255_spl
| ~ sQ105_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10157]) ).
fof(f10159,plain,
( sQ287_spl
| ~ sQ255_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f10158]) ).
fof(f10165,plain,
( ~ sQ546_spl
| ~ sQ111_spl
| op1(e11,e12) = e14 ),
inference(forward_demodulation,[status(thm)],[f1404,f3001]) ).
fof(f10166,plain,
( ~ sQ546_spl
| ~ sQ111_spl
| sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10165,f1174]) ).
fof(f10167,plain,
( ~ sQ546_spl
| ~ sQ111_spl
| sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f10166]) ).
fof(f10184,plain,
( ~ sQ70_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f8883,f1256,f1272]) ).
fof(f10194,plain,
( ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1161,f7173]) ).
fof(f10195,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f10194]) ).
fof(f10208,plain,
( sQ553_spl
| ~ sQ105_spl
| op1(e11,e14) != e10 ),
inference(forward_demodulation,[status(thm)],[f1385,f3032]) ).
fof(f10216,plain,
( ~ sQ111_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f9254,f1435,f1403]) ).
fof(f10217,plain,
( ~ sQ554_spl
| ~ sQ105_spl
| op1(e10,e11) = e14 ),
inference(forward_demodulation,[status(thm)],[f1385,f3035]) ).
fof(f10218,plain,
( ~ sQ554_spl
| ~ sQ105_spl
| ~ sQ125_spl
| e11 = e14 ),
inference(forward_demodulation,[status(thm)],[f8061,f10217]) ).
fof(f10219,plain,
( ~ sQ554_spl
| ~ sQ105_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10218,f401]) ).
fof(f10220,plain,
( ~ sQ554_spl
| ~ sQ105_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f10219]) ).
fof(f10223,plain,
( ~ sQ113_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f8842,f1393,f1409]) ).
fof(f10235,plain,
( ~ sQ30_spl
| ~ sQ32_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1151,f1145]) ).
fof(f10236,plain,
( ~ sQ30_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10235,f396]) ).
fof(f10237,plain,
( ~ sQ30_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f10236]) ).
fof(f10252,plain,
( sQ623_spl
| ~ sQ58_spl
| op1(e11,e12) != e13 ),
inference(forward_demodulation,[status(thm)],[f1234,f3342]) ).
fof(f10253,plain,
( ~ sQ624_spl
| ~ sQ58_spl
| op1(e13,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f1234,f3345]) ).
fof(f10254,plain,
( ~ sQ624_spl
| ~ sQ58_spl
| e14 = e12 ),
inference(forward_demodulation,[status(thm)],[f4262,f10253]) ).
fof(f10255,plain,
( ~ sQ624_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10254,f403]) ).
fof(f10256,plain,
( ~ sQ624_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f10255]) ).
fof(f10309,plain,
( sQ553_spl
| ~ sQ105_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f10208,f1192,f1384,f3030]) ).
fof(f10328,plain,
( sQ623_spl
| ~ sQ58_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f10252,f1169,f1233,f3340]) ).
fof(f10431,plain,
( ~ sQ190_spl
| h3(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f1707,f470]) ).
fof(f10432,plain,
( ~ sQ190_spl
| sQ485_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10431,f2747]) ).
fof(f10433,plain,
( ~ sQ190_spl
| sQ485_spl ),
inference(contradiction_clause,[status(thm)],[f10432]) ).
fof(f10434,plain,
( ~ sQ352_spl
| ~ sQ485_spl ),
inference(split_clause,[status(thm)],[f8597,f2745,f2272]) ).
fof(f10540,plain,
( ~ sQ191_spl
| ~ sQ352_spl
| h3(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f6421,f1710]) ).
fof(f10541,plain,
( ~ sQ191_spl
| ~ sQ352_spl
| sQ490_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10540,f2768]) ).
fof(f10542,plain,
( ~ sQ191_spl
| ~ sQ352_spl
| sQ490_spl ),
inference(contradiction_clause,[status(thm)],[f10541]) ).
fof(f10544,plain,
( sQ381_spl
| ~ sQ69_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f9700,f1734,f1268,f2364]) ).
fof(f10546,plain,
( sQ376_spl
| ~ sQ40_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f9604,f1642,f1176,f2349]) ).
fof(f10864,plain,
( ~ sQ654_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ169_spl
| op2(e24,e22) = e21 ),
inference(forward_demodulation,[status(thm)],[f9160,f3480]) ).
fof(f10865,plain,
( ~ sQ654_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ169_spl
| ~ sQ243_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1876,f10864]) ).
fof(f10866,plain,
( ~ sQ654_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ169_spl
| ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10865,f410]) ).
fof(f10867,plain,
( ~ sQ654_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ169_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f10866]) ).
fof(f10868,plain,
( sQ411_spl
| ~ sQ48_spl
| h5(e13) != op2(h5(e11),h5(e14)) ),
inference(forward_demodulation,[status(thm)],[f1202,f2461]) ).
fof(f10869,plain,
( sQ411_spl
| ~ sQ48_spl
| ~ sQ434_spl
| e24 != op2(h5(e11),h5(e14)) ),
inference(forward_demodulation,[status(thm)],[f2532,f10868]) ).
fof(f10897,plain,
( ~ sQ525_spl
| ~ sQ255_spl
| h5(e14) = e24 ),
inference(forward_demodulation,[status(thm)],[f10003,f8978]) ).
fof(f10899,plain,
( sQ408_spl
| ~ sQ525_spl
| ~ sQ32_spl
| ~ sQ255_spl
| h5(e12) != e20 ),
inference(forward_demodulation,[status(thm)],[f10005,f9391]) ).
fof(f10912,plain,
( ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| h3(e14) = e24 ),
inference(forward_demodulation,[status(thm)],[f1735,f8899]) ).
fof(f10915,plain,
( ~ sQ623_spl
| ~ sQ39_spl
| e14 = op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f1173,f3341]) ).
fof(f10917,plain,
( sQ611_spl
| ~ sQ69_spl
| op1(e14,e13) != e12 ),
inference(forward_demodulation,[status(thm)],[f1269,f3287]) ).
fof(f10918,plain,
( sQ611_spl
| ~ sQ69_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f4254,f10917]) ).
fof(f10919,plain,
( sQ611_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f10918]) ).
fof(f10920,plain,
( sQ611_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f10919]) ).
fof(f11034,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ466_spl
| e20 = op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f2666,f9161]) ).
fof(f11037,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ466_spl
| e20 != h5(e11) ),
inference(forward_demodulation,[status(thm)],[f11034,f4522]) ).
fof(f11038,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ466_spl
| ~ sQ525_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2914,f11037]) ).
fof(f11039,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ466_spl
| ~ sQ525_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11038]) ).
fof(f11040,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ466_spl
| ~ sQ525_spl ),
inference(contradiction_clause,[status(thm)],[f11039]) ).
fof(f11052,plain,
( ~ sQ525_spl
| e20 = op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f2914,f480]) ).
fof(f11053,plain,
( sQ411_spl
| ~ sQ48_spl
| ~ sQ434_spl
| ~ sQ525_spl
| e24 != op2(e20,h5(e14)) ),
inference(forward_demodulation,[status(thm)],[f2914,f10869]) ).
fof(f11054,plain,
( sQ411_spl
| ~ sQ48_spl
| ~ sQ434_spl
| ~ sQ525_spl
| ~ sQ255_spl
| e24 != op2(e20,e24) ),
inference(forward_demodulation,[status(thm)],[f10897,f11053]) ).
fof(f11055,plain,
( sQ411_spl
| ~ sQ48_spl
| ~ sQ434_spl
| ~ sQ525_spl
| ~ sQ255_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f9994,f11054]) ).
fof(f11056,plain,
( sQ411_spl
| ~ sQ48_spl
| ~ sQ434_spl
| ~ sQ525_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11055]) ).
fof(f11057,plain,
( sQ411_spl
| ~ sQ48_spl
| ~ sQ434_spl
| ~ sQ525_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f11056]) ).
fof(f11097,plain,
( sQ392_spl
| ~ sQ120_spl
| h4(e10) != h5(e11) ),
inference(forward_demodulation,[status(thm)],[f1433,f9018]) ).
fof(f11098,plain,
( sQ392_spl
| ~ sQ120_spl
| e20 != h5(e11) ),
inference(forward_demodulation,[status(thm)],[f7795,f11097]) ).
fof(f11099,plain,
( sQ392_spl
| ~ sQ120_spl
| ~ sQ525_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2914,f11098]) ).
fof(f11100,plain,
( sQ392_spl
| ~ sQ120_spl
| ~ sQ525_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11099]) ).
fof(f11101,plain,
( sQ392_spl
| ~ sQ120_spl
| ~ sQ525_spl ),
inference(contradiction_clause,[status(thm)],[f11100]) ).
fof(f11102,plain,
( sQ390_spl
| ~ sQ516_spl
| ~ sQ111_spl
| ~ sQ241_spl ),
inference(split_clause,[status(thm)],[f10063,f1869,f1403,f2875,f2391]) ).
fof(f11112,plain,
( sQ382_spl
| ~ sQ516_spl
| ~ sQ71_spl
| h4(e11) != op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f1276,f6467]) ).
fof(f11113,plain,
( sQ382_spl
| ~ sQ516_spl
| ~ sQ71_spl
| e21 != op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f4437,f11112]) ).
fof(f11114,plain,
( sQ382_spl
| ~ sQ516_spl
| ~ sQ71_spl
| ~ sQ201_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1742,f11113]) ).
fof(f11115,plain,
( sQ382_spl
| ~ sQ516_spl
| ~ sQ71_spl
| ~ sQ201_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11114]) ).
fof(f11116,plain,
( sQ382_spl
| ~ sQ516_spl
| ~ sQ71_spl
| ~ sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f11115]) ).
fof(f11121,plain,
( sQ379_spl
| ~ sQ55_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f9462,f1690,f1224,f2358]) ).
fof(f11134,plain,
( sQ389_spl
| ~ sQ108_spl
| h4(e13) != op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f1394,f5699]) ).
fof(f11135,plain,
( sQ389_spl
| ~ sQ108_spl
| e23 != op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f473,f11134]) ).
fof(f11153,plain,
( sQ415_spl
| ~ sQ434_spl
| ~ sQ69_spl
| ~ sQ525_spl
| ~ sQ255_spl
| e24 != op2(h5(e12),e24) ),
inference(forward_demodulation,[status(thm)],[f10897,f9585]) ).
fof(f11154,plain,
( sQ410_spl
| ~ sQ434_spl
| ~ sQ40_spl
| ~ sQ525_spl
| h5(e10) != op2(e20,e24) ),
inference(forward_demodulation,[status(thm)],[f2914,f9588]) ).
fof(f11155,plain,
( sQ410_spl
| ~ sQ434_spl
| ~ sQ40_spl
| ~ sQ525_spl
| ~ sQ255_spl
| h5(e10) != e24 ),
inference(forward_demodulation,[status(thm)],[f9994,f11154]) ).
fof(f11169,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h2(e10) = op2(e21,h2(e12)) ),
inference(backward_demodulation,[status(thm)],[f10021,f10091]) ).
fof(f11205,plain,
( sQ651_spl
| ~ sQ39_spl
| op1(e14,e12) != e11 ),
inference(forward_demodulation,[status(thm)],[f1173,f3467]) ).
fof(f11207,plain,
( ~ sQ525_spl
| h5(e10) = op2(e24,op2(op2(e24,e20),e24)) ),
inference(forward_demodulation,[status(thm)],[f2914,f4465]) ).
fof(f11208,plain,
( ~ sQ525_spl
| ~ sQ255_spl
| h5(e10) = op2(e24,op2(e24,e24)) ),
inference(forward_demodulation,[status(thm)],[f10003,f11207]) ).
fof(f11209,plain,
( ~ sQ525_spl
| ~ sQ255_spl
| h5(e10) = op2(e24,e20) ),
inference(forward_demodulation,[status(thm)],[f11052,f11208]) ).
fof(f11210,plain,
( ~ sQ525_spl
| ~ sQ255_spl
| h5(e10) = e24 ),
inference(forward_demodulation,[status(thm)],[f10003,f11209]) ).
fof(f11211,plain,
( ~ sQ525_spl
| ~ sQ255_spl
| sQ410_spl
| ~ sQ434_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11210,f11155]) ).
fof(f11212,plain,
( ~ sQ525_spl
| ~ sQ255_spl
| sQ410_spl
| ~ sQ434_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f11211]) ).
fof(f11217,plain,
( ~ sQ525_spl
| ~ sQ255_spl
| h5(e12) = op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f10897,f4484]) ).
fof(f11218,plain,
( ~ sQ525_spl
| ~ sQ255_spl
| h5(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f11052,f11217]) ).
fof(f11219,plain,
( ~ sQ525_spl
| ~ sQ255_spl
| sQ408_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11218,f10899]) ).
fof(f11220,plain,
( ~ sQ525_spl
| ~ sQ255_spl
| sQ408_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f11219]) ).
fof(f11254,plain,
( ~ sQ238_spl
| ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h2(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f10021,f1860]) ).
fof(f11255,plain,
( ~ sQ238_spl
| ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| sQ481_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11254,f2730]) ).
fof(f11256,plain,
( ~ sQ238_spl
| ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| sQ481_spl ),
inference(contradiction_clause,[status(thm)],[f11255]) ).
fof(f11309,plain,
( ~ sQ317_spl
| ~ sQ238_spl
| ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h2(e10) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f11254,f6610]) ).
fof(f11310,plain,
( ~ sQ317_spl
| ~ sQ238_spl
| ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ170_spl
| h2(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f1643,f11309]) ).
fof(f11311,plain,
( ~ sQ317_spl
| ~ sQ238_spl
| ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ170_spl
| sQ464_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11310,f2659]) ).
fof(f11312,plain,
( ~ sQ317_spl
| ~ sQ238_spl
| ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ170_spl
| sQ464_spl ),
inference(contradiction_clause,[status(thm)],[f11311]) ).
fof(f11313,plain,
( sQ317_spl
| ~ sQ238_spl
| ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| h2(e10) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f11254,f6778]) ).
fof(f11314,plain,
( sQ317_spl
| ~ sQ238_spl
| ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ170_spl
| h2(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f1643,f11313]) ).
fof(f11320,plain,
( sQ415_spl
| ~ sQ434_spl
| ~ sQ69_spl
| ~ sQ525_spl
| ~ sQ255_spl
| e24 != op2(e20,e24) ),
inference(forward_demodulation,[status(thm)],[f11218,f11153]) ).
fof(f11321,plain,
( sQ415_spl
| ~ sQ434_spl
| ~ sQ69_spl
| ~ sQ525_spl
| ~ sQ255_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f9994,f11320]) ).
fof(f11322,plain,
( sQ415_spl
| ~ sQ434_spl
| ~ sQ69_spl
| ~ sQ525_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11321]) ).
fof(f11323,plain,
( sQ415_spl
| ~ sQ434_spl
| ~ sQ69_spl
| ~ sQ525_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f11322]) ).
fof(f11362,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ238_spl
| h2(e10) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f11254,f11169]) ).
fof(f11363,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ238_spl
| ~ sQ170_spl
| h2(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f1643,f11362]) ).
fof(f11364,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ238_spl
| ~ sQ170_spl
| sQ317_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11363,f11314]) ).
fof(f11365,plain,
( ~ sQ169_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ238_spl
| ~ sQ170_spl
| sQ317_spl ),
inference(contradiction_clause,[status(thm)],[f11364]) ).
fof(f11381,plain,
( sQ353_spl
| ~ sQ97_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| e21 != op2(e22,h3(e14)) ),
inference(forward_demodulation,[status(thm)],[f8677,f7379]) ).
fof(f11382,plain,
( sQ353_spl
| ~ sQ97_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| ~ sQ193_spl
| e21 != op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f10912,f11381]) ).
fof(f11383,plain,
( sQ353_spl
| ~ sQ97_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| ~ sQ193_spl
| ~ sQ201_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1742,f11382]) ).
fof(f11384,plain,
( sQ353_spl
| ~ sQ97_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| ~ sQ193_spl
| ~ sQ201_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11383]) ).
fof(f11385,plain,
( sQ353_spl
| ~ sQ97_spl
| ~ sQ352_spl
| ~ sQ500_spl
| ~ sQ199_spl
| ~ sQ241_spl
| ~ sQ193_spl
| ~ sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f11384]) ).
fof(f11396,plain,
( sQ347_spl
| ~ sQ69_spl
| h3(e14) != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f1269,f6430]) ).
fof(f11397,plain,
( sQ347_spl
| ~ sQ69_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| e24 != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f10912,f11396]) ).
fof(f11398,plain,
( sQ347_spl
| ~ sQ69_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| ~ sQ500_spl
| ~ sQ241_spl
| e24 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f8677,f11397]) ).
fof(f11399,plain,
( sQ347_spl
| ~ sQ69_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| ~ sQ500_spl
| ~ sQ241_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ169_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f9160,f11398]) ).
fof(f11400,plain,
( sQ347_spl
| ~ sQ69_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| ~ sQ500_spl
| ~ sQ241_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ169_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11399]) ).
fof(f11401,plain,
( sQ347_spl
| ~ sQ69_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| ~ sQ500_spl
| ~ sQ241_spl
| ~ sQ162_spl
| ~ sQ318_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f11400]) ).
fof(f11435,plain,
( sQ343_spl
| ~ sQ48_spl
| h3(e13) != op2(h3(e11),h3(e14)) ),
inference(forward_demodulation,[status(thm)],[f1202,f2247]) ).
fof(f11436,plain,
( sQ343_spl
| ~ sQ48_spl
| e22 != op2(h3(e11),h3(e14)) ),
inference(forward_demodulation,[status(thm)],[f468,f11435]) ).
fof(f11437,plain,
( sQ343_spl
| ~ sQ48_spl
| ~ sQ500_spl
| e22 != op2(e23,h3(e14)) ),
inference(forward_demodulation,[status(thm)],[f2809,f11436]) ).
fof(f11438,plain,
( sQ343_spl
| ~ sQ48_spl
| ~ sQ500_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| e22 != op2(e23,e24) ),
inference(forward_demodulation,[status(thm)],[f10912,f11437]) ).
fof(f11439,plain,
( sQ343_spl
| ~ sQ48_spl
| ~ sQ500_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| ~ sQ387_spl
| ~ sQ97_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f8294,f11438]) ).
fof(f11440,plain,
( sQ343_spl
| ~ sQ48_spl
| ~ sQ500_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| ~ sQ387_spl
| ~ sQ97_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11439]) ).
fof(f11441,plain,
( sQ343_spl
| ~ sQ48_spl
| ~ sQ500_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| ~ sQ387_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f11440]) ).
fof(f11448,plain,
( sQ341_spl
| ~ sQ39_spl
| h3(e14) != op2(h3(e11),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1173,f2241]) ).
fof(f11449,plain,
( sQ341_spl
| ~ sQ39_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| e24 != op2(h3(e11),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f10912,f11448]) ).
fof(f11450,plain,
( sQ341_spl
| ~ sQ39_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| ~ sQ500_spl
| e24 != op2(e23,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2809,f11449]) ).
fof(f11451,plain,
( sQ341_spl
| ~ sQ39_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| ~ sQ500_spl
| ~ sQ241_spl
| e24 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f8677,f11450]) ).
fof(f11452,plain,
( sQ341_spl
| ~ sQ39_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| ~ sQ500_spl
| ~ sQ241_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f4290,f11451]) ).
fof(f11453,plain,
( sQ341_spl
| ~ sQ39_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| ~ sQ500_spl
| ~ sQ241_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11452]) ).
fof(f11454,plain,
( sQ341_spl
| ~ sQ39_spl
| ~ sQ352_spl
| ~ sQ193_spl
| ~ sQ199_spl
| ~ sQ500_spl
| ~ sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f11453]) ).
fof(f11604,plain,
( ~ sQ546_spl
| ~ sQ113_spl
| op1(e13,e12) = e14 ),
inference(forward_demodulation,[status(thm)],[f1410,f3001]) ).
fof(f11605,plain,
( ~ sQ546_spl
| ~ sQ113_spl
| e10 = e14 ),
inference(forward_demodulation,[status(thm)],[f5765,f11604]) ).
fof(f11606,plain,
( ~ sQ546_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11605,f398]) ).
fof(f11607,plain,
( ~ sQ546_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f11606]) ).
fof(f11610,plain,
( ~ sQ645_spl
| ~ sQ40_spl
| op1(e10,e13) = e11 ),
inference(forward_demodulation,[status(thm)],[f1177,f3438]) ).
fof(f11611,plain,
( ~ sQ645_spl
| ~ sQ40_spl
| ~ sQ125_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f8254,f11610]) ).
fof(f11612,plain,
( ~ sQ645_spl
| ~ sQ40_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11611,f400]) ).
fof(f11613,plain,
( ~ sQ645_spl
| ~ sQ40_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f11612]) ).
fof(f11654,plain,
( sQ389_spl
| ~ sQ108_spl
| ~ sQ238_spl ),
inference(split_clause,[status(thm)],[f11135,f1859,f1393,f2388]) ).
fof(f11696,plain,
( ~ sQ648_spl
| ~ sQ170_spl
| op2(e20,e23) = e21 ),
inference(forward_demodulation,[status(thm)],[f1643,f3452]) ).
fof(f11697,plain,
( ~ sQ648_spl
| ~ sQ170_spl
| ~ sQ255_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f9989,f11696]) ).
fof(f11698,plain,
( ~ sQ648_spl
| ~ sQ170_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11697,f410]) ).
fof(f11699,plain,
( ~ sQ648_spl
| ~ sQ170_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f11698]) ).
fof(f11704,plain,
( ~ sQ642_spl
| ~ sQ178_spl
| op2(e23,e24) = e21 ),
inference(forward_demodulation,[status(thm)],[f1668,f3424]) ).
fof(f11705,plain,
( ~ sQ642_spl
| ~ sQ178_spl
| ~ sQ387_spl
| ~ sQ97_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f8294,f11704]) ).
fof(f11706,plain,
( ~ sQ642_spl
| ~ sQ178_spl
| ~ sQ387_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11705,f409]) ).
fof(f11707,plain,
( ~ sQ642_spl
| ~ sQ178_spl
| ~ sQ387_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f11706]) ).
fof(f11711,plain,
( sQ615_spl
| ~ sQ199_spl
| op2(e24,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f1735,f3305]) ).
fof(f11821,plain,
( ~ sQ623_spl
| ~ sQ39_spl
| ~ sQ55_spl
| e14 = e10 ),
inference(forward_demodulation,[status(thm)],[f1225,f10915]) ).
fof(f11822,plain,
( ~ sQ623_spl
| ~ sQ39_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11821,f398]) ).
fof(f11823,plain,
( ~ sQ623_spl
| ~ sQ39_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f11822]) ).
fof(f11824,plain,
( sQ651_spl
| ~ sQ39_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f11205,f1403,f1172,f3465]) ).
fof(f11831,plain,
( ~ sQ652_spl
| ~ sQ39_spl
| op1(e14,e11) = e12 ),
inference(forward_demodulation,[status(thm)],[f1173,f3470]) ).
fof(f11832,plain,
( ~ sQ652_spl
| ~ sQ39_spl
| ~ sQ108_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1394,f11831]) ).
fof(f11833,plain,
( ~ sQ652_spl
| ~ sQ39_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11832,f402]) ).
fof(f11834,plain,
( ~ sQ652_spl
| ~ sQ39_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f11833]) ).
fof(f11954,plain,
( sQ615_spl
| ~ sQ199_spl
| ~ sQ243_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1876,f11711]) ).
fof(f11955,plain,
( sQ615_spl
| ~ sQ199_spl
| ~ sQ243_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11954]) ).
fof(f11956,plain,
( sQ615_spl
| ~ sQ199_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f11955]) ).
fof(f11958,plain,
( ~ sQ550_spl
| ~ sQ243_spl
| op2(e23,e22) = e24 ),
inference(forward_demodulation,[status(thm)],[f1876,f3018]) ).
fof(f11959,plain,
( ~ sQ550_spl
| ~ sQ243_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f5816,f11958]) ).
fof(f11960,plain,
( ~ sQ550_spl
| ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11959,f408]) ).
fof(f11961,plain,
( ~ sQ550_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f11960]) ).
fof(f11964,plain,
( ~ sQ608_spl
| ~ sQ200_spl
| op2(e20,e24) = e22 ),
inference(forward_demodulation,[status(thm)],[f1739,f3272]) ).
fof(f11965,plain,
( ~ sQ608_spl
| ~ sQ200_spl
| ~ sQ255_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f9994,f11964]) ).
fof(f11966,plain,
( ~ sQ608_spl
| ~ sQ200_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11965,f413]) ).
fof(f11967,plain,
( ~ sQ608_spl
| ~ sQ200_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f11966]) ).
fof(f11968,plain,
$false,
inference(sat_refutation,[status(thm)],[f1191,f1207,f1271,f1319,f1351,f1399,f1415,f1463,f1468,f1474,f1475,f1479,f1480,f1481,f1484,f1490,f1491,f1493,f1495,f1498,f1503,f1504,f1505,f1506,f1507,f1511,f1561,f1577,f1641,f1657,f1673,f1689,f1705,f1737,f1753,f1785,f1801,f1817,f1865,f1881,f1897,f1913,f1929,f1931,f1932,f1937,f1941,f1945,f1946,f1947,f1948,f1950,f1952,f1957,f1964,f1970,f1971,f1972,f1976,f1977,f1986,f1998,f2431,f2545,f2562,f2592,f2660,f2693,f2706,f2731,f2773,f2798,f2811,f2828,f2853,f2878,f2903,f2916,f2999,f3003,f3016,f3020,f3033,f3037,f3050,f3054,f3059,f3067,f3084,f3093,f3098,f3112,f3121,f3129,f3143,f3149,f3161,f3178,f3183,f3195,f3208,f3212,f3217,f3218,f3225,f3242,f3251,f3256,f3260,f3270,f3274,f3279,f3284,f3292,f3298,f3306,f3307,f3308,f3315,f3329,f3335,f3343,f3347,f3360,f3364,f3368,f3369,f3370,f3377,f3394,f3403,f3408,f3412,f3422,f3426,f3431,f3436,f3440,f3445,f3450,f3454,f3459,f3464,f3468,f3474,f3482,f3486,f3488,f3495,f3509,f3523,f3540,f3554,f3568,f3582,f3596,f3618,f3624,f3642,f3656,f3666,f3676,f3684,f3686,f3688,f3690,f3692,f3694,f3696,f3698,f3700,f3702,f3737,f3854,f3858,f3871,f3878,f3885,f3888,f3892,f3911,f3918,f3922,f3932,f3942,f3946,f3958,f3968,f3972,f3982,f3995,f3999,f4004,f4019,f4052,f4067,f4089,f4102,f4105,f4115,f4146,f4187,f4196,f4398,f4404,f4439,f4452,f4464,f4491,f4498,f4526,f4550,f4552,f4558,f4562,f4565,f4566,f4584,f4605,f4612,f4695,f4731,f4771,f4786,f4810,f4820,f4826,f4844,f4851,f4863,f4883,f4886,f4924,f4929,f4950,f4963,f4992,f5101,f5119,f5138,f5151,f5183,f5192,f5203,f5210,f5217,f5233,f5240,f5246,f5269,f5276,f5283,f5326,f5328,f5332,f5333,f5335,f5339,f5354,f5372,f5378,f5386,f5399,f5402,f5421,f5455,f5458,f5461,f5474,f5497,f5498,f5507,f5518,f5530,f5554,f5567,f5611,f5614,f5624,f5639,f5653,f5675,f5676,f5682,f5688,f5691,f5693,f5697,f5759,f5786,f5792,f5822,f5825,f5827,f5832,f5836,f5857,f5860,f5895,f5932,f5954,f5955,f5956,f5961,f5968,f5971,f5978,f5999,f6002,f6017,f6033,f6043,f6046,f6058,f6076,f6080,f6088,f6105,f6113,f6126,f6136,f6140,f6146,f6175,f6185,f6191,f6193,f6196,f6202,f6205,f6209,f6219,f6223,f6226,f6229,f6233,f6236,f6237,f6245,f6248,f6253,f6256,f6269,f6270,f6285,f6288,f6291,f6295,f6303,f6311,f6339,f6348,f6350,f6351,f6359,f6361,f6375,f6402,f6407,f6418,f6435,f6454,f6465,f6471,f6484,f6489,f6493,f6499,f6503,f6530,f6548,f6561,f6567,f6569,f6616,f6621,f6662,f6667,f6676,f6681,f6695,f6716,f6732,f6741,f6750,f6757,f6761,f6764,f6769,f6772,f6777,f6785,f6787,f6796,f6799,f6811,f6859,f6875,f6902,f6916,f6937,f6938,f6952,f6955,f6969,f6970,f6971,f6977,f6979,f6980,f6984,f6987,f6990,f6993,f6996,f6999,f7001,f7006,f7008,f7036,f7057,f7058,f7081,f7085,f7091,f7098,f7105,f7126,f7128,f7151,f7184,f7188,f7190,f7191,f7198,f7229,f7246,f7307,f7321,f7324,f7351,f7368,f7383,f7386,f7427,f7432,f7566,f7630,f7633,f7636,f7642,f7648,f7650,f7713,f7742,f7743,f7744,f7745,f7750,f7755,f7768,f7769,f7770,f7774,f7775,f7778,f7788,f7793,f7797,f7801,f7902,f7903,f7918,f8029,f8042,f8043,f8093,f8096,f8111,f8114,f8119,f8129,f8134,f8135,f8146,f8190,f8197,f8229,f8257,f8270,f8271,f8290,f8303,f8311,f8331,f8360,f8378,f8379,f8383,f8387,f8390,f8391,f8394,f8398,f8409,f8412,f8415,f8420,f8423,f8424,f8432,f8456,f8461,f8465,f8472,f8501,f8509,f8515,f8550,f8557,f8614,f8622,f8641,f8660,f8671,f8676,f8679,f8693,f8696,f8713,f8717,f8745,f8763,f8823,f8826,f8831,f8848,f8868,f8941,f8944,f8984,f9008,f9013,f9016,f9023,f9026,f9045,f9058,f9059,f9083,f9115,f9125,f9170,f9197,f9389,f9392,f9460,f9494,f9500,f9512,f9522,f9523,f9524,f9535,f9540,f9541,f9554,f9555,f9558,f9560,f9570,f9578,f9662,f9749,f9763,f9770,f9772,f9786,f9790,f9796,f9814,f9845,f9857,f9870,f9886,f10159,f10167,f10184,f10195,f10216,f10220,f10223,f10237,f10256,f10309,f10328,f10433,f10434,f10542,f10544,f10546,f10867,f10920,f11040,f11057,f11101,f11102,f11116,f11121,f11212,f11220,f11256,f11312,f11323,f11365,f11385,f11401,f11441,f11454,f11607,f11613,f11654,f11699,f11707,f11823,f11824,f11834,f11956,f11961,f11967]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG053+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.54 % Computer : n019.cluster.edu
% 0.08/0.54 % Model : x86_64 x86_64
% 0.08/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.54 % Memory : 8046.5625MB
% 0.08/0.54 % OS : Linux 6.8.0-71-generic
% 0.08/0.54 % CPULimit : 300
% 0.08/0.54 % WCLimit : 300
% 0.08/0.54 % DateTime : Mon Sep 21 12:54:51 UTC 2026
% 0.08/0.54 % CPUTime :
% 0.13/0.58 % Drodi V4.1.1
% 16.41/2.83 % Refutation found
% 16.41/2.83 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.41/2.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.41/2.88 % Elapsed time: 2.336684 seconds
% 16.41/2.88 % CPU time: 17.685689 seconds
% 16.41/2.88 % Total memory used: 300.653 MB
% 16.41/2.88 % Net memory used: 296.752 MB
%------------------------------------------------------------------------------