%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG051+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 11:47:55 AM UTC 2026
% Result : Theorem 19.48s 3.04s
% Output : CNFRefutation 19.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 660
% Syntax : Number of formulae : 2781 ( 387 unt; 640 def)
% Number of atoms : 18545 (14019 equ)
% Maximal formula atoms : 375 ( 6 avg)
% Number of connectives : 25930 (10166 ~;7332 |;7654 &)
% ( 778 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 642 ( 640 usr; 641 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( ( ( ( e14 != unit1
& op1(e14,e14) = e14 )
| op1(e14,e14) != e14 )
& ( ( e14 != unit1
& op1(e14,e14) = e13 )
| op1(e14,e13) != e14 )
& ( ( e14 != unit1
& op1(e14,e14) = e12 )
| op1(e14,e12) != e14 )
& ( ( e14 != unit1
& op1(e14,e14) = e11 )
| op1(e14,e11) != e14 )
& ( ( e14 != unit1
& op1(e14,e14) = e10 )
| op1(e14,e10) != e14 )
& ( ( e14 != unit1
& op1(e13,e14) = e14 )
| op1(e13,e14) != e14 )
& ( ( e14 != unit1
& op1(e13,e14) = e13 )
| op1(e13,e13) != e14 )
& ( ( e14 != unit1
& op1(e13,e14) = e12 )
| op1(e13,e12) != e14 )
& ( ( e14 != unit1
& op1(e13,e14) = e11 )
| op1(e13,e11) != e14 )
& ( ( e14 != unit1
& op1(e13,e14) = e10 )
| op1(e13,e10) != e14 )
& ( ( e14 != unit1
& op1(e12,e14) = e14 )
| op1(e12,e14) != e14 )
& ( ( e14 != unit1
& op1(e12,e14) = e13 )
| op1(e12,e13) != e14 )
& ( ( e14 != unit1
& op1(e12,e14) = e12 )
| op1(e12,e12) != e14 )
& ( ( e14 != unit1
& op1(e12,e14) = e11 )
| op1(e12,e11) != e14 )
& ( ( e14 != unit1
& op1(e12,e14) = e10 )
| op1(e12,e10) != e14 )
& ( ( e14 != unit1
& op1(e11,e14) = e14 )
| op1(e11,e14) != e14 )
& ( ( e14 != unit1
& op1(e11,e14) = e13 )
| op1(e11,e13) != e14 )
& ( ( e14 != unit1
& op1(e11,e14) = e12 )
| op1(e11,e12) != e14 )
& ( ( e14 != unit1
& op1(e11,e14) = e11 )
| op1(e11,e11) != e14 )
& ( ( e14 != unit1
& op1(e11,e14) = e10 )
| op1(e11,e10) != e14 )
& ( ( e14 != unit1
& op1(e10,e14) = e14 )
| op1(e10,e14) != e14 )
& ( ( e14 != unit1
& op1(e10,e14) = e13 )
| op1(e10,e13) != e14 )
& ( ( e14 != unit1
& op1(e10,e14) = e12 )
| op1(e10,e12) != e14 )
& ( ( e14 != unit1
& op1(e10,e14) = e11 )
| op1(e10,e11) != e14 )
& ( ( e14 != unit1
& op1(e10,e14) = e10 )
| op1(e10,e10) != e14 ) )
| ( ( ( e13 != unit1
& op1(e14,e13) = e14 )
| op1(e14,e14) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e13 )
| op1(e14,e13) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e12 )
| op1(e14,e12) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e11 )
| op1(e14,e11) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e10 )
| op1(e14,e10) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e14 )
| op1(e13,e14) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e13 )
| op1(e13,e13) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e12 )
| op1(e13,e12) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) )
| ( ( ( e12 != unit1
& op1(e14,e12) = e14 )
| op1(e14,e14) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e13 )
| op1(e14,e13) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e12 )
| op1(e14,e12) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e11 )
| op1(e14,e11) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e10 )
| op1(e14,e10) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e14 )
| op1(e13,e14) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e13 )
| op1(e13,e13) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) )
| ( ( ( e11 != unit1
& op1(e14,e11) = e14 )
| op1(e14,e14) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e13 )
| op1(e14,e13) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e12 )
| op1(e14,e12) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e11 )
| op1(e14,e11) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e10 )
| op1(e14,e10) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e14 )
| op1(e13,e14) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) )
| ( ( ( e10 != unit1
& op1(e14,e10) = e14 )
| op1(e14,e14) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e13 )
| op1(e14,e13) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e12 )
| op1(e14,e12) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e11 )
| op1(e14,e11) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e10 )
| op1(e14,e10) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e14 )
| op1(e13,e14) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e13 )
| op1(e13,e13) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e12 )
| op1(e13,e12) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e11 )
| op1(e13,e11) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e10 )
| op1(e13,e10) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e14 )
| op1(e12,e14) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e13 )
| op1(e12,e13) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e12 )
| op1(e12,e12) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e11 )
| op1(e12,e11) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e10 )
| op1(e12,e10) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e14 )
| op1(e11,e14) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e13 )
| op1(e11,e13) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e12 )
| op1(e11,e12) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e11 )
| op1(e11,e11) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e10 )
| op1(e11,e10) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e14 )
| op1(e10,e14) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e13 )
| op1(e10,e13) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e12 )
| op1(e10,e12) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e11 )
| op1(e10,e11) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e10 )
| op1(e10,e10) != e10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( ( ( ( e24 != unit2
& op2(e24,e24) = e24 )
| op2(e24,e24) != e24 )
& ( ( e24 != unit2
& op2(e24,e24) = e23 )
| op2(e24,e23) != e24 )
& ( ( e24 != unit2
& op2(e24,e24) = e22 )
| op2(e24,e22) != e24 )
& ( ( e24 != unit2
& op2(e24,e24) = e21 )
| op2(e24,e21) != e24 )
& ( ( e24 != unit2
& op2(e24,e24) = e20 )
| op2(e24,e20) != e24 )
& ( ( e24 != unit2
& op2(e23,e24) = e24 )
| op2(e23,e24) != e24 )
& ( ( e24 != unit2
& op2(e23,e24) = e23 )
| op2(e23,e23) != e24 )
& ( ( e24 != unit2
& op2(e23,e24) = e22 )
| op2(e23,e22) != e24 )
& ( ( e24 != unit2
& op2(e23,e24) = e21 )
| op2(e23,e21) != e24 )
& ( ( e24 != unit2
& op2(e23,e24) = e20 )
| op2(e23,e20) != e24 )
& ( ( e24 != unit2
& op2(e22,e24) = e24 )
| op2(e22,e24) != e24 )
& ( ( e24 != unit2
& op2(e22,e24) = e23 )
| op2(e22,e23) != e24 )
& ( ( e24 != unit2
& op2(e22,e24) = e22 )
| op2(e22,e22) != e24 )
& ( ( e24 != unit2
& op2(e22,e24) = e21 )
| op2(e22,e21) != e24 )
& ( ( e24 != unit2
& op2(e22,e24) = e20 )
| op2(e22,e20) != e24 )
& ( ( e24 != unit2
& op2(e21,e24) = e24 )
| op2(e21,e24) != e24 )
& ( ( e24 != unit2
& op2(e21,e24) = e23 )
| op2(e21,e23) != e24 )
& ( ( e24 != unit2
& op2(e21,e24) = e22 )
| op2(e21,e22) != e24 )
& ( ( e24 != unit2
& op2(e21,e24) = e21 )
| op2(e21,e21) != e24 )
& ( ( e24 != unit2
& op2(e21,e24) = e20 )
| op2(e21,e20) != e24 )
& ( ( e24 != unit2
& op2(e20,e24) = e24 )
| op2(e20,e24) != e24 )
& ( ( e24 != unit2
& op2(e20,e24) = e23 )
| op2(e20,e23) != e24 )
& ( ( e24 != unit2
& op2(e20,e24) = e22 )
| op2(e20,e22) != e24 )
& ( ( e24 != unit2
& op2(e20,e24) = e21 )
| op2(e20,e21) != e24 )
& ( ( e24 != unit2
& op2(e20,e24) = e20 )
| op2(e20,e20) != e24 ) )
| ( ( ( e23 != unit2
& op2(e24,e23) = e24 )
| op2(e24,e24) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e23 )
| op2(e24,e23) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e22 )
| op2(e24,e22) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e21 )
| op2(e24,e21) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e20 )
| op2(e24,e20) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e24 )
| op2(e23,e24) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e23 )
| op2(e23,e23) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e22 )
| op2(e23,e22) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) )
| ( ( ( e22 != unit2
& op2(e24,e22) = e24 )
| op2(e24,e24) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e23 )
| op2(e24,e23) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e22 )
| op2(e24,e22) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e21 )
| op2(e24,e21) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e20 )
| op2(e24,e20) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e24 )
| op2(e23,e24) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e23 )
| op2(e23,e23) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) )
| ( ( ( e21 != unit2
& op2(e24,e21) = e24 )
| op2(e24,e24) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e23 )
| op2(e24,e23) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e22 )
| op2(e24,e22) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e21 )
| op2(e24,e21) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e20 )
| op2(e24,e20) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e24 )
| op2(e23,e24) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) )
| ( ( ( e20 != unit2
& op2(e24,e20) = e24 )
| op2(e24,e24) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e23 )
| op2(e24,e23) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e22 )
| op2(e24,e22) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e21 )
| op2(e24,e21) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e20 )
| op2(e24,e20) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e24 )
| op2(e23,e24) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( e14 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12)
& e11 = op1(op1(e12,e12),e12)
& e10 = op1(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( e24 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22)
& e21 = op2(op2(e22,e22),e22)
& e20 = op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h1(e14) = op2(op2(e20,e20),op2(e20,e20))
& h1(e13) = op2(e20,e20)
& h1(e11) = op2(op2(e20,e20),e20)
& h1(e10) = op2(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20))
& h1(e12) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h2(e14) = op2(op2(e21,e21),op2(e21,e21))
& h2(e13) = op2(e21,e21)
& h2(e11) = op2(op2(e21,e21),e21)
& h2(e10) = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21))
& h2(e12) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( h3(e14) = op2(op2(e22,e22),op2(e22,e22))
& h3(e13) = op2(e22,e22)
& h3(e11) = op2(op2(e22,e22),e22)
& h3(e10) = op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22))
& h3(e12) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
( h4(e14) = op2(op2(e23,e23),op2(e23,e23))
& h4(e13) = op2(e23,e23)
& h4(e11) = op2(op2(e23,e23),e23)
& h4(e10) = op2(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23))
& h4(e12) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( h5(e14) = op2(op2(e24,e24),op2(e24,e24))
& h5(e13) = op2(e24,e24)
& h5(e11) = op2(op2(e24,e24),e24)
& h5(e10) = op2(op2(op2(e24,e24),e24),op2(op2(e24,e24),e24))
& h5(e12) = e24 ),
file('/export/starexec/sandbox2/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/sandbox2/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(f29,plain,
( op1(e11,e11) = e14
| op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
( op1(e11,e12) = e14
| op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
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(f34,plain,
( op1(e12,e11) = e14
| op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,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(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(f47,plain,
( op1(e14,e14) = e14
| op1(e14,e14) = e13
| op1(e14,e14) = e12
| op1(e14,e14) = e11
| op1(e14,e14) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f48,plain,
op1(unit1,e10) = e10,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
op1(e10,unit1) = 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(f71,plain,
( op1(e11,e14) = e11
| op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
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(f81,plain,
( op1(e12,e14) = e11
| op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op1(e14,e12) = e11
| op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f89,plain,
( op1(e13,e14) = e10
| op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
( op1(e14,e13) = e11
| op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 ),
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(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(f115,plain,
( op2(e21,e21) = e24
| op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = 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(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(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(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(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(f157,plain,
( op2(e21,e24) = e21
| op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
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(f166,plain,
( op2(e24,e22) = e20
| op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = 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(f178,plain,
( op2(e24,e23) = e21
| op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 ),
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(f189,plain,
( op2(e24,e24) = e22
| op2(e24,e23) = e22
| op2(e24,e22) = e22
| op2(e24,e21) = e22
| op2(e24,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f196,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f197,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f199,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f204,plain,
op1(e13,e10) != op1(e14,e10),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f205,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f206,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f209,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f210,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f211,plain,
op1(e11,e11) != op1(e14,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f212,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f215,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f216,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f217,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f219,plain,
op1(e11,e12) != op1(e12,e12),
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(f223,plain,
op1(e12,e12) != op1(e14,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f224,plain,
op1(e13,e12) != op1(e14,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f225,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f227,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f230,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f232,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f234,plain,
op1(e13,e13) != op1(e14,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f237,plain,
op1(e10,e14) != op1(e13,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f238,plain,
op1(e10,e14) != op1(e14,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f244,plain,
op1(e13,e14) != op1(e14,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f250,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f255,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f259,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f260,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f261,plain,
op1(e11,e11) != op1(e11,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f266,plain,
op1(e12,e10) != op1(e12,e12),
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(f273,plain,
op1(e12,e12) != 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(f277,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f278,plain,
op1(e13,e10) != op1(e13,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f279,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f280,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f283,plain,
op1(e13,e12) != op1(e13,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f284,plain,
op1(e13,e13) != op1(e13,e14),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f291,plain,
op1(e14,e11) != op1(e14,e14),
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(f295,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f296,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f297,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f299,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f303,plain,
op2(e22,e20) != op2(e24,e20),
inference(cnf_transformation,[status(thm)],[f8]) ).
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(f307,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f308,plain,
op2(e20,e21) != op2(e24,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f309,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f310,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f311,plain,
op2(e21,e21) != op2(e24,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f312,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f314,plain,
op2(e23,e21) != op2(e24,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f316,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f317,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f319,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f320,plain,
op2(e21,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(f324,plain,
op2(e23,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(f327,plain,
op2(e20,e23) != op2(e23,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(f335,plain,
op2(e20,e24) != op2(e21,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f341,plain,
op2(e21,e24) != op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f346,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f347,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f348,plain,
op2(e20,e20) != op2(e20,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f349,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f350,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f353,plain,
op2(e20,e22) != op2(e20,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f359,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f360,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f361,plain,
op2(e21,e21) != op2(e21,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f362,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f366,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f369,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f373,plain,
op2(e22,e22) != op2(e22,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f375,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f376,plain,
op2(e23,e20) != op2(e23,e22),
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(f380,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f383,plain,
op2(e23,e22) != op2(e23,e24),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f384,plain,
op2(e23,e23) != op2(e23,e24),
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(f390,plain,
op2(e24,e21) != 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
<=> ( ( ( ( e13 != unit1
& op1(e14,e13) = e14 )
| op1(e14,e14) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e13 )
| op1(e14,e13) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e12 )
| op1(e14,e12) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e11 )
| op1(e14,e11) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e10 )
| op1(e14,e10) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e14 )
| op1(e13,e14) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e13 )
| op1(e13,e13) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e12 )
| op1(e13,e12) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) )
| ( ( ( e12 != unit1
& op1(e14,e12) = e14 )
| op1(e14,e14) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e13 )
| op1(e14,e13) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e12 )
| op1(e14,e12) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e11 )
| op1(e14,e11) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e10 )
| op1(e14,e10) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e14 )
| op1(e13,e14) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e13 )
| op1(e13,e13) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) )
| ( ( ( e11 != unit1
& op1(e14,e11) = e14 )
| op1(e14,e14) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e13 )
| op1(e14,e13) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e12 )
| op1(e14,e12) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e11 )
| op1(e14,e11) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e10 )
| op1(e14,e10) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e14 )
| op1(e13,e14) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) )
| ( ( ( e10 != unit1
& op1(e14,e10) = e14 )
| op1(e14,e14) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e13 )
| op1(e14,e13) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e12 )
| op1(e14,e12) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e11 )
| op1(e14,e11) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e10 )
| op1(e14,e10) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e14 )
| op1(e13,e14) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e13 )
| op1(e13,e13) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e12 )
| op1(e13,e12) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e11 )
| op1(e13,e11) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e10 )
| op1(e13,e10) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e14 )
| op1(e12,e14) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e13 )
| op1(e12,e13) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e12 )
| op1(e12,e12) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e11 )
| op1(e12,e11) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e10 )
| op1(e12,e10) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e14 )
| op1(e11,e14) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e13 )
| op1(e11,e13) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e12 )
| op1(e11,e12) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e11 )
| op1(e11,e11) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e10 )
| op1(e11,e10) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e14 )
| op1(e10,e14) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e13 )
| op1(e10,e13) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e12 )
| op1(e10,e12) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e11 )
| op1(e10,e11) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e10 )
| op1(e10,e10) != e10 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f441,plain,
( ( ( ( e14 != unit1
& op1(e14,e14) = e14 )
| op1(e14,e14) != e14 )
& ( ( e14 != unit1
& op1(e14,e14) = e13 )
| op1(e14,e13) != e14 )
& ( ( e14 != unit1
& op1(e14,e14) = e12 )
| op1(e14,e12) != e14 )
& ( ( e14 != unit1
& op1(e14,e14) = e11 )
| op1(e14,e11) != e14 )
& ( ( e14 != unit1
& op1(e14,e14) = e10 )
| op1(e14,e10) != e14 )
& ( ( e14 != unit1
& op1(e13,e14) = e14 )
| op1(e13,e14) != e14 )
& ( ( e14 != unit1
& op1(e13,e14) = e13 )
| op1(e13,e13) != e14 )
& ( ( e14 != unit1
& op1(e13,e14) = e12 )
| op1(e13,e12) != e14 )
& ( ( e14 != unit1
& op1(e13,e14) = e11 )
| op1(e13,e11) != e14 )
& ( ( e14 != unit1
& op1(e13,e14) = e10 )
| op1(e13,e10) != e14 )
& ( ( e14 != unit1
& op1(e12,e14) = e14 )
| op1(e12,e14) != e14 )
& ( ( e14 != unit1
& op1(e12,e14) = e13 )
| op1(e12,e13) != e14 )
& ( ( e14 != unit1
& op1(e12,e14) = e12 )
| op1(e12,e12) != e14 )
& ( ( e14 != unit1
& op1(e12,e14) = e11 )
| op1(e12,e11) != e14 )
& ( ( e14 != unit1
& op1(e12,e14) = e10 )
| op1(e12,e10) != e14 )
& ( ( e14 != unit1
& op1(e11,e14) = e14 )
| op1(e11,e14) != e14 )
& ( ( e14 != unit1
& op1(e11,e14) = e13 )
| op1(e11,e13) != e14 )
& ( ( e14 != unit1
& op1(e11,e14) = e12 )
| op1(e11,e12) != e14 )
& ( ( e14 != unit1
& op1(e11,e14) = e11 )
| op1(e11,e11) != e14 )
& ( ( e14 != unit1
& op1(e11,e14) = e10 )
| op1(e11,e10) != e14 )
& ( ( e14 != unit1
& op1(e10,e14) = e14 )
| op1(e10,e14) != e14 )
& ( ( e14 != unit1
& op1(e10,e14) = e13 )
| op1(e10,e13) != e14 )
& ( ( e14 != unit1
& op1(e10,e14) = e12 )
| op1(e10,e12) != e14 )
& ( ( e14 != unit1
& op1(e10,e14) = e11 )
| op1(e10,e11) != e14 )
& ( ( e14 != unit1
& op1(e10,e14) = e10 )
| op1(e10,e10) != e14 ) )
| sP0_prd ),
inference(formula_renaming,[status(thm)],[f12,f440]) ).
fof(f456,plain,
( op1(e11,e14) = e12
| op1(e11,e12) != e14
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f441]) ).
fof(f492,definition,
( sP1_prd
<=> ( ( ( ( e23 != unit2
& op2(e24,e23) = e24 )
| op2(e24,e24) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e23 )
| op2(e24,e23) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e22 )
| op2(e24,e22) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e21 )
| op2(e24,e21) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e20 )
| op2(e24,e20) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e24 )
| op2(e23,e24) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e23 )
| op2(e23,e23) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e22 )
| op2(e23,e22) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) )
| ( ( ( e22 != unit2
& op2(e24,e22) = e24 )
| op2(e24,e24) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e23 )
| op2(e24,e23) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e22 )
| op2(e24,e22) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e21 )
| op2(e24,e21) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e20 )
| op2(e24,e20) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e24 )
| op2(e23,e24) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e23 )
| op2(e23,e23) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) )
| ( ( ( e21 != unit2
& op2(e24,e21) = e24 )
| op2(e24,e24) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e23 )
| op2(e24,e23) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e22 )
| op2(e24,e22) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e21 )
| op2(e24,e21) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e20 )
| op2(e24,e20) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e24 )
| op2(e23,e24) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) )
| ( ( ( e20 != unit2
& op2(e24,e20) = e24 )
| op2(e24,e24) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e23 )
| op2(e24,e23) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e22 )
| op2(e24,e22) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e21 )
| op2(e24,e21) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e20 )
| op2(e24,e20) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e24 )
| op2(e23,e24) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f493,plain,
( ( ( ( e24 != unit2
& op2(e24,e24) = e24 )
| op2(e24,e24) != e24 )
& ( ( e24 != unit2
& op2(e24,e24) = e23 )
| op2(e24,e23) != e24 )
& ( ( e24 != unit2
& op2(e24,e24) = e22 )
| op2(e24,e22) != e24 )
& ( ( e24 != unit2
& op2(e24,e24) = e21 )
| op2(e24,e21) != e24 )
& ( ( e24 != unit2
& op2(e24,e24) = e20 )
| op2(e24,e20) != e24 )
& ( ( e24 != unit2
& op2(e23,e24) = e24 )
| op2(e23,e24) != e24 )
& ( ( e24 != unit2
& op2(e23,e24) = e23 )
| op2(e23,e23) != e24 )
& ( ( e24 != unit2
& op2(e23,e24) = e22 )
| op2(e23,e22) != e24 )
& ( ( e24 != unit2
& op2(e23,e24) = e21 )
| op2(e23,e21) != e24 )
& ( ( e24 != unit2
& op2(e23,e24) = e20 )
| op2(e23,e20) != e24 )
& ( ( e24 != unit2
& op2(e22,e24) = e24 )
| op2(e22,e24) != e24 )
& ( ( e24 != unit2
& op2(e22,e24) = e23 )
| op2(e22,e23) != e24 )
& ( ( e24 != unit2
& op2(e22,e24) = e22 )
| op2(e22,e22) != e24 )
& ( ( e24 != unit2
& op2(e22,e24) = e21 )
| op2(e22,e21) != e24 )
& ( ( e24 != unit2
& op2(e22,e24) = e20 )
| op2(e22,e20) != e24 )
& ( ( e24 != unit2
& op2(e21,e24) = e24 )
| op2(e21,e24) != e24 )
& ( ( e24 != unit2
& op2(e21,e24) = e23 )
| op2(e21,e23) != e24 )
& ( ( e24 != unit2
& op2(e21,e24) = e22 )
| op2(e21,e22) != e24 )
& ( ( e24 != unit2
& op2(e21,e24) = e21 )
| op2(e21,e21) != e24 )
& ( ( e24 != unit2
& op2(e21,e24) = e20 )
| op2(e21,e20) != e24 )
& ( ( e24 != unit2
& op2(e20,e24) = e24 )
| op2(e20,e24) != e24 )
& ( ( e24 != unit2
& op2(e20,e24) = e23 )
| op2(e20,e23) != e24 )
& ( ( e24 != unit2
& op2(e20,e24) = e22 )
| op2(e20,e22) != e24 )
& ( ( e24 != unit2
& op2(e20,e24) = e21 )
| op2(e20,e21) != e24 )
& ( ( e24 != unit2
& op2(e20,e24) = e20 )
| op2(e20,e20) != e24 ) )
| sP1_prd ),
inference(formula_renaming,[status(thm)],[f13,f492]) ).
fof(f530,plain,
( op2(e23,e24) = e23
| op2(e23,e23) != e24
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f493]) ).
fof(f544,plain,
e10 = op1(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f545,plain,
e11 = op1(op1(e12,e12),e12),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f546,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f547,plain,
e14 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f548,plain,
e20 = op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f549,plain,
e21 = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f550,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f551,plain,
e24 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f552,plain,
h1(e12) = e20,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f554,plain,
h1(e11) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f555,plain,
h1(e13) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f557,plain,
h2(e12) = e21,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f558,plain,
h2(e10) = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f559,plain,
h2(e11) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f560,plain,
h2(e13) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f561,plain,
h2(e14) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f562,plain,
h3(e12) = e22,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f563,plain,
h3(e10) = op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f564,plain,
h3(e11) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f565,plain,
h3(e13) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f566,plain,
h3(e14) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f567,plain,
h4(e12) = e23,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f568,plain,
h4(e10) = op2(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f569,plain,
h4(e11) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f570,plain,
h4(e13) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f571,plain,
h4(e14) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f572,plain,
h5(e12) = e24,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f573,plain,
h5(e10) = op2(op2(op2(e24,e24),e24),op2(op2(e24,e24),e24)),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f574,plain,
h5(e11) = op2(op2(e24,e24),e24),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f575,plain,
h5(e13) = op2(e24,e24),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f577,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(f578,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(f579,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(f580,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(f581,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(f582,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(f583,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(f584,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(f585,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(f586,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(f587,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(f588,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(f589,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(f590,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(f591,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(f592,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(f593,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(f594,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(f595,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(f596,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(f597,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(f598,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)],[f577,f597,f596,f595,f594,f593,f592,f591,f590,f589,f588,f587,f586,f585,f584,f583,f582,f581,f580,f579,f578]) ).
fof(f617,plain,
( h4(e13) != 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)],[f598]) ).
fof(f624,definition,
( sP22_prd
<=> ( ( ( ( e12 != unit1
& op1(e14,e12) = e14 )
| op1(e14,e14) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e13 )
| op1(e14,e13) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e12 )
| op1(e14,e12) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e11 )
| op1(e14,e11) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e10 )
| op1(e14,e10) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e14 )
| op1(e13,e14) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e13 )
| op1(e13,e13) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) )
| ( ( ( e11 != unit1
& op1(e14,e11) = e14 )
| op1(e14,e14) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e13 )
| op1(e14,e13) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e12 )
| op1(e14,e12) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e11 )
| op1(e14,e11) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e10 )
| op1(e14,e10) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e14 )
| op1(e13,e14) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) )
| ( ( ( e10 != unit1
& op1(e14,e10) = e14 )
| op1(e14,e14) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e13 )
| op1(e14,e13) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e12 )
| op1(e14,e12) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e11 )
| op1(e14,e11) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e10 )
| op1(e14,e10) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e14 )
| op1(e13,e14) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e13 )
| op1(e13,e13) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e12 )
| op1(e13,e12) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e11 )
| op1(e13,e11) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e10 )
| op1(e13,e10) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e14 )
| op1(e12,e14) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e13 )
| op1(e12,e13) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e12 )
| op1(e12,e12) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e11 )
| op1(e12,e11) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e10 )
| op1(e12,e10) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e14 )
| op1(e11,e14) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e13 )
| op1(e11,e13) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e12 )
| op1(e11,e12) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e11 )
| op1(e11,e11) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e10 )
| op1(e11,e10) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e14 )
| op1(e10,e14) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e13 )
| op1(e10,e13) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e12 )
| op1(e10,e12) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e11 )
| op1(e10,e11) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e10 )
| op1(e10,e10) != e10 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f625,plain,
( sP0_prd
<=> ( ( ( ( e13 != unit1
& op1(e14,e13) = e14 )
| op1(e14,e14) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e13 )
| op1(e14,e13) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e12 )
| op1(e14,e12) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e11 )
| op1(e14,e11) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e10 )
| op1(e14,e10) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e14 )
| op1(e13,e14) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e13 )
| op1(e13,e13) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e12 )
| op1(e13,e12) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f440,f624]) ).
fof(f626,definition,
( sP23_prd
<=> ( ( ( e13 != unit1
& op1(e14,e13) = e13 )
| op1(e14,e13) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e12 )
| op1(e14,e12) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e11 )
| op1(e14,e11) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e10 )
| op1(e14,e10) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e14 )
| op1(e13,e14) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e13 )
| op1(e13,e13) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e12 )
| op1(e13,e12) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f627,plain,
( sP0_prd
<=> ( ( ( ( e13 != unit1
& op1(e14,e13) = e14 )
| op1(e14,e14) != e13 )
& sP23_prd )
| sP22_prd ) ),
inference(formula_renaming,[status(thm)],[f625,f626]) ).
fof(f628,plain,
( ( ( ( ( ( e13 = unit1
| op1(e14,e13) != e14 )
& op1(e14,e14) = e13 )
| ~ sP23_prd )
& ~ sP22_prd )
| sP0_prd )
& ( ( ( ( e13 != unit1
& op1(e14,e13) = e14 )
| op1(e14,e14) != e13 )
& sP23_prd )
| sP22_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f627]) ).
fof(f629,plain,
( sP23_prd
| sP22_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f628]) ).
fof(f635,definition,
( sP24_prd
<=> ( ( ( ( e22 != unit2
& op2(e24,e22) = e24 )
| op2(e24,e24) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e23 )
| op2(e24,e23) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e22 )
| op2(e24,e22) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e21 )
| op2(e24,e21) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e20 )
| op2(e24,e20) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e24 )
| op2(e23,e24) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e23 )
| op2(e23,e23) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) )
| ( ( ( e21 != unit2
& op2(e24,e21) = e24 )
| op2(e24,e24) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e23 )
| op2(e24,e23) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e22 )
| op2(e24,e22) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e21 )
| op2(e24,e21) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e20 )
| op2(e24,e20) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e24 )
| op2(e23,e24) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) )
| ( ( ( e20 != unit2
& op2(e24,e20) = e24 )
| op2(e24,e24) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e23 )
| op2(e24,e23) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e22 )
| op2(e24,e22) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e21 )
| op2(e24,e21) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e20 )
| op2(e24,e20) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e24 )
| op2(e23,e24) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f636,plain,
( sP1_prd
<=> ( ( ( ( e23 != unit2
& op2(e24,e23) = e24 )
| op2(e24,e24) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e23 )
| op2(e24,e23) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e22 )
| op2(e24,e22) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e21 )
| op2(e24,e21) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e20 )
| op2(e24,e20) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e24 )
| op2(e23,e24) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e23 )
| op2(e23,e23) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e22 )
| op2(e23,e22) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f492,f635]) ).
fof(f637,definition,
( sP25_prd
<=> ( ( ( e23 != unit2
& op2(e24,e23) = e23 )
| op2(e24,e23) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e22 )
| op2(e24,e22) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e21 )
| op2(e24,e21) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e20 )
| op2(e24,e20) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e24 )
| op2(e23,e24) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e23 )
| op2(e23,e23) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e22 )
| op2(e23,e22) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f638,plain,
( sP1_prd
<=> ( ( ( ( e23 != unit2
& op2(e24,e23) = e24 )
| op2(e24,e24) != e23 )
& sP25_prd )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f636,f637]) ).
fof(f639,plain,
( ( ( ( ( ( e23 = unit2
| op2(e24,e23) != e24 )
& op2(e24,e24) = e23 )
| ~ sP25_prd )
& ~ sP24_prd )
| sP1_prd )
& ( ( ( ( e23 != unit2
& op2(e24,e23) = e24 )
| op2(e24,e24) != e23 )
& sP25_prd )
| sP24_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f638]) ).
fof(f640,plain,
( sP25_prd
| sP24_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f639]) ).
fof(f646,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)],[f578]) ).
fof(f650,plain,
( h1(e13) != e20
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f646]) ).
fof(f674,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)],[f582]) ).
fof(f678,plain,
( h2(e13) != e20
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f681,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)],[f583]) ).
fof(f684,plain,
( h2(e12) != e21
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f681]) ).
fof(f688,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)],[f584]) ).
fof(f694,plain,
( h2(e14) = e22
| h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP8_prd ),
inference(cnf_transformation,[status(thm)],[f688]) ).
fof(f695,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)],[f585]) ).
fof(f701,plain,
( h2(e14) = e23
| h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f695]) ).
fof(f702,plain,
( ( h3(e14) = e20
| h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP10_prd )
& ( ( h3(e14) != e20
& h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f586]) ).
fof(f703,plain,
( h3(e10) != e20
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f702]) ).
fof(f709,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)],[f587]) ).
fof(f711,plain,
( h3(e11) != e21
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f709]) ).
fof(f716,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)],[f588]) ).
fof(f719,plain,
( h3(e12) != e22
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f723,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)],[f589]) ).
fof(f727,plain,
( h3(e13) != e23
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f723]) ).
fof(f730,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)],[f590]) ).
fof(f731,plain,
( h4(e10) != e20
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f730]) ).
fof(f737,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)],[f591]) ).
fof(f739,plain,
( h4(e11) != e21
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f737]) ).
fof(f744,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)],[f592]) ).
fof(f749,plain,
( h4(e14) != e22
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f751,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)],[f593]) ).
fof(f754,plain,
( h4(e12) != e23
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f751]) ).
fof(f786,definition,
( sP26_prd
<=> ( ( ( ( e11 != unit1
& op1(e14,e11) = e14 )
| op1(e14,e14) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e13 )
| op1(e14,e13) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e12 )
| op1(e14,e12) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e11 )
| op1(e14,e11) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e10 )
| op1(e14,e10) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e14 )
| op1(e13,e14) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) )
| ( ( ( e10 != unit1
& op1(e14,e10) = e14 )
| op1(e14,e14) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e13 )
| op1(e14,e13) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e12 )
| op1(e14,e12) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e11 )
| op1(e14,e11) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e10 )
| op1(e14,e10) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e14 )
| op1(e13,e14) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e13 )
| op1(e13,e13) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e12 )
| op1(e13,e12) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e11 )
| op1(e13,e11) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e10 )
| op1(e13,e10) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e14 )
| op1(e12,e14) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e13 )
| op1(e12,e13) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e12 )
| op1(e12,e12) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e11 )
| op1(e12,e11) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e10 )
| op1(e12,e10) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e14 )
| op1(e11,e14) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e13 )
| op1(e11,e13) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e12 )
| op1(e11,e12) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e11 )
| op1(e11,e11) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e10 )
| op1(e11,e10) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e14 )
| op1(e10,e14) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e13 )
| op1(e10,e13) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e12 )
| op1(e10,e12) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e11 )
| op1(e10,e11) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e10 )
| op1(e10,e10) != e10 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f787,plain,
( sP22_prd
<=> ( ( ( ( e12 != unit1
& op1(e14,e12) = e14 )
| op1(e14,e14) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e13 )
| op1(e14,e13) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e12 )
| op1(e14,e12) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e11 )
| op1(e14,e11) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e10 )
| op1(e14,e10) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e14 )
| op1(e13,e14) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e13 )
| op1(e13,e13) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f624,f786]) ).
fof(f788,definition,
( sP27_prd
<=> ( ( ( e12 != unit1
& op1(e14,e12) = e13 )
| op1(e14,e13) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e12 )
| op1(e14,e12) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e11 )
| op1(e14,e11) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e10 )
| op1(e14,e10) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e14 )
| op1(e13,e14) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e13 )
| op1(e13,e13) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f789,plain,
( sP22_prd
<=> ( ( ( ( e12 != unit1
& op1(e14,e12) = e14 )
| op1(e14,e14) != e12 )
& sP27_prd )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f787,f788]) ).
fof(f790,plain,
( ( ( ( ( ( e12 = unit1
| op1(e14,e12) != e14 )
& op1(e14,e14) = e12 )
| ~ sP27_prd )
& ~ sP26_prd )
| sP22_prd )
& ( ( ( ( e12 != unit1
& op1(e14,e12) = e14 )
| op1(e14,e14) != e12 )
& sP27_prd )
| sP26_prd
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f789]) ).
fof(f791,plain,
( sP27_prd
| sP26_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f790]) ).
fof(f797,definition,
( sP28_prd
<=> ( ( ( e13 != unit1
& op1(e14,e13) = e12 )
| op1(e14,e12) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e11 )
| op1(e14,e11) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e10 )
| op1(e14,e10) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e14 )
| op1(e13,e14) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e13 )
| op1(e13,e13) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e12 )
| op1(e13,e12) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f798,plain,
( sP23_prd
<=> ( ( ( e13 != unit1
& op1(e14,e13) = e13 )
| op1(e14,e13) != e13 )
& sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f626,f797]) ).
fof(f799,plain,
( ( ( ( e13 = unit1
| op1(e14,e13) != e13 )
& op1(e14,e13) = e13 )
| ~ sP28_prd
| sP23_prd )
& ( ( ( ( e13 != unit1
& op1(e14,e13) = e13 )
| op1(e14,e13) != e13 )
& sP28_prd )
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f798]) ).
fof(f800,plain,
( sP28_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f799]) ).
fof(f805,definition,
( sP29_prd
<=> ( ( ( ( e21 != unit2
& op2(e24,e21) = e24 )
| op2(e24,e24) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e23 )
| op2(e24,e23) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e22 )
| op2(e24,e22) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e21 )
| op2(e24,e21) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e20 )
| op2(e24,e20) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e24 )
| op2(e23,e24) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) )
| ( ( ( e20 != unit2
& op2(e24,e20) = e24 )
| op2(e24,e24) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e23 )
| op2(e24,e23) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e22 )
| op2(e24,e22) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e21 )
| op2(e24,e21) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e20 )
| op2(e24,e20) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e24 )
| op2(e23,e24) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f806,plain,
( sP24_prd
<=> ( ( ( ( e22 != unit2
& op2(e24,e22) = e24 )
| op2(e24,e24) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e23 )
| op2(e24,e23) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e22 )
| op2(e24,e22) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e21 )
| op2(e24,e21) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e20 )
| op2(e24,e20) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e24 )
| op2(e23,e24) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e23 )
| op2(e23,e23) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f635,f805]) ).
fof(f807,definition,
( sP30_prd
<=> ( ( ( e22 != unit2
& op2(e24,e22) = e23 )
| op2(e24,e23) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e22 )
| op2(e24,e22) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e21 )
| op2(e24,e21) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e20 )
| op2(e24,e20) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e24 )
| op2(e23,e24) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e23 )
| op2(e23,e23) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f808,plain,
( sP24_prd
<=> ( ( ( ( e22 != unit2
& op2(e24,e22) = e24 )
| op2(e24,e24) != e22 )
& sP30_prd )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f806,f807]) ).
fof(f809,plain,
( ( ( ( ( ( e22 = unit2
| op2(e24,e22) != e24 )
& op2(e24,e24) = e22 )
| ~ sP30_prd )
& ~ sP29_prd )
| sP24_prd )
& ( ( ( ( e22 != unit2
& op2(e24,e22) = e24 )
| op2(e24,e24) != e22 )
& sP30_prd )
| sP29_prd
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f808]) ).
fof(f810,plain,
( sP30_prd
| sP29_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f809]) ).
fof(f816,definition,
( sP31_prd
<=> ( ( ( e23 != unit2
& op2(e24,e23) = e22 )
| op2(e24,e22) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e21 )
| op2(e24,e21) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e20 )
| op2(e24,e20) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e24 )
| op2(e23,e24) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e23 )
| op2(e23,e23) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e22 )
| op2(e23,e22) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f817,plain,
( sP25_prd
<=> ( ( ( e23 != unit2
& op2(e24,e23) = e23 )
| op2(e24,e23) != e23 )
& sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f637,f816]) ).
fof(f818,plain,
( ( ( ( e23 = unit2
| op2(e24,e23) != e23 )
& op2(e24,e23) = e23 )
| ~ sP31_prd
| sP25_prd )
& ( ( ( ( e23 != unit2
& op2(e24,e23) = e23 )
| op2(e24,e23) != e23 )
& sP31_prd )
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f817]) ).
fof(f819,plain,
( sP31_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f818]) ).
fof(f824,definition,
( sP32_prd
<=> ( ( ( e10 != unit1
& op1(e14,e10) = e14 )
| op1(e14,e14) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e13 )
| op1(e14,e13) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e12 )
| op1(e14,e12) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e11 )
| op1(e14,e11) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e10 )
| op1(e14,e10) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e14 )
| op1(e13,e14) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e13 )
| op1(e13,e13) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e12 )
| op1(e13,e12) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e11 )
| op1(e13,e11) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e10 )
| op1(e13,e10) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e14 )
| op1(e12,e14) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e13 )
| op1(e12,e13) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e12 )
| op1(e12,e12) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e11 )
| op1(e12,e11) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e10 )
| op1(e12,e10) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e14 )
| op1(e11,e14) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e13 )
| op1(e11,e13) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e12 )
| op1(e11,e12) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e11 )
| op1(e11,e11) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e10 )
| op1(e11,e10) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e14 )
| op1(e10,e14) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e13 )
| op1(e10,e13) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e12 )
| op1(e10,e12) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e11 )
| op1(e10,e11) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e10 )
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f825,plain,
( sP26_prd
<=> ( ( ( ( e11 != unit1
& op1(e14,e11) = e14 )
| op1(e14,e14) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e13 )
| op1(e14,e13) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e12 )
| op1(e14,e12) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e11 )
| op1(e14,e11) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e10 )
| op1(e14,e10) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e14 )
| op1(e13,e14) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f786,f824]) ).
fof(f826,definition,
( sP33_prd
<=> ( ( ( e11 != unit1
& op1(e14,e11) = e13 )
| op1(e14,e13) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e12 )
| op1(e14,e12) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e11 )
| op1(e14,e11) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e10 )
| op1(e14,e10) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e14 )
| op1(e13,e14) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f827,plain,
( sP26_prd
<=> ( ( ( ( e11 != unit1
& op1(e14,e11) = e14 )
| op1(e14,e14) != e11 )
& sP33_prd )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f825,f826]) ).
fof(f828,plain,
( ( ( ( ( ( e11 = unit1
| op1(e14,e11) != e14 )
& op1(e14,e14) = e11 )
| ~ sP33_prd )
& ~ sP32_prd )
| sP26_prd )
& ( ( ( ( e11 != unit1
& op1(e14,e11) = e14 )
| op1(e14,e14) != e11 )
& sP33_prd )
| sP32_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f827]) ).
fof(f829,plain,
( sP33_prd
| sP32_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f835,definition,
( sP34_prd
<=> ( ( ( e12 != unit1
& op1(e14,e12) = e12 )
| op1(e14,e12) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e11 )
| op1(e14,e11) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e10 )
| op1(e14,e10) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e14 )
| op1(e13,e14) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e13 )
| op1(e13,e13) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f836,plain,
( sP27_prd
<=> ( ( ( e12 != unit1
& op1(e14,e12) = e13 )
| op1(e14,e13) != e12 )
& sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f788,f835]) ).
fof(f837,plain,
( ( ( ( e12 = unit1
| op1(e14,e12) != e13 )
& op1(e14,e13) = e12 )
| ~ sP34_prd
| sP27_prd )
& ( ( ( ( e12 != unit1
& op1(e14,e12) = e13 )
| op1(e14,e13) != e12 )
& sP34_prd )
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f836]) ).
fof(f838,plain,
( sP34_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f837]) ).
fof(f843,definition,
( sP35_prd
<=> ( ( ( e13 != unit1
& op1(e14,e13) = e11 )
| op1(e14,e11) != e13 )
& ( ( e13 != unit1
& op1(e14,e13) = e10 )
| op1(e14,e10) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e14 )
| op1(e13,e14) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e13 )
| op1(e13,e13) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e12 )
| op1(e13,e12) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f844,plain,
( sP28_prd
<=> ( ( ( e13 != unit1
& op1(e14,e13) = e12 )
| op1(e14,e12) != e13 )
& sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f797,f843]) ).
fof(f845,plain,
( ( ( ( e13 = unit1
| op1(e14,e13) != e12 )
& op1(e14,e12) = e13 )
| ~ sP35_prd
| sP28_prd )
& ( ( ( ( e13 != unit1
& op1(e14,e13) = e12 )
| op1(e14,e12) != e13 )
& sP35_prd )
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f844]) ).
fof(f846,plain,
( sP35_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f845]) ).
fof(f851,definition,
( sP36_prd
<=> ( ( ( e20 != unit2
& op2(e24,e20) = e24 )
| op2(e24,e24) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e23 )
| op2(e24,e23) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e22 )
| op2(e24,e22) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e21 )
| op2(e24,e21) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e20 )
| op2(e24,e20) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e24 )
| op2(e23,e24) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f852,plain,
( sP29_prd
<=> ( ( ( ( e21 != unit2
& op2(e24,e21) = e24 )
| op2(e24,e24) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e23 )
| op2(e24,e23) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e22 )
| op2(e24,e22) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e21 )
| op2(e24,e21) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e20 )
| op2(e24,e20) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e24 )
| op2(e23,e24) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f805,f851]) ).
fof(f853,definition,
( sP37_prd
<=> ( ( ( e21 != unit2
& op2(e24,e21) = e23 )
| op2(e24,e23) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e22 )
| op2(e24,e22) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e21 )
| op2(e24,e21) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e20 )
| op2(e24,e20) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e24 )
| op2(e23,e24) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f854,plain,
( sP29_prd
<=> ( ( ( ( e21 != unit2
& op2(e24,e21) = e24 )
| op2(e24,e24) != e21 )
& sP37_prd )
| sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f852,f853]) ).
fof(f855,plain,
( ( ( ( ( ( e21 = unit2
| op2(e24,e21) != e24 )
& op2(e24,e24) = e21 )
| ~ sP37_prd )
& ~ sP36_prd )
| sP29_prd )
& ( ( ( ( e21 != unit2
& op2(e24,e21) = e24 )
| op2(e24,e24) != e21 )
& sP37_prd )
| sP36_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f854]) ).
fof(f856,plain,
( sP37_prd
| sP36_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f855]) ).
fof(f862,definition,
( sP38_prd
<=> ( ( ( e22 != unit2
& op2(e24,e22) = e22 )
| op2(e24,e22) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e21 )
| op2(e24,e21) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e20 )
| op2(e24,e20) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e24 )
| op2(e23,e24) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e23 )
| op2(e23,e23) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f863,plain,
( sP30_prd
<=> ( ( ( e22 != unit2
& op2(e24,e22) = e23 )
| op2(e24,e23) != e22 )
& sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f807,f862]) ).
fof(f864,plain,
( ( ( ( e22 = unit2
| op2(e24,e22) != e23 )
& op2(e24,e23) = e22 )
| ~ sP38_prd
| sP30_prd )
& ( ( ( ( e22 != unit2
& op2(e24,e22) = e23 )
| op2(e24,e23) != e22 )
& sP38_prd )
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f863]) ).
fof(f865,plain,
( sP38_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f864]) ).
fof(f870,definition,
( sP39_prd
<=> ( ( ( e23 != unit2
& op2(e24,e23) = e21 )
| op2(e24,e21) != e23 )
& ( ( e23 != unit2
& op2(e24,e23) = e20 )
| op2(e24,e20) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e24 )
| op2(e23,e24) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e23 )
| op2(e23,e23) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e22 )
| op2(e23,e22) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f871,plain,
( sP31_prd
<=> ( ( ( e23 != unit2
& op2(e24,e23) = e22 )
| op2(e24,e22) != e23 )
& sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f816,f870]) ).
fof(f872,plain,
( ( ( ( e23 = unit2
| op2(e24,e23) != e22 )
& op2(e24,e22) = e23 )
| ~ sP39_prd
| sP31_prd )
& ( ( ( ( e23 != unit2
& op2(e24,e23) = e22 )
| op2(e24,e22) != e23 )
& sP39_prd )
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f871]) ).
fof(f873,plain,
( sP39_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f872]) ).
fof(f878,definition,
( sP40_prd
<=> ( ( ( e10 != unit1
& op1(e14,e10) = e13 )
| op1(e14,e13) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e12 )
| op1(e14,e12) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e11 )
| op1(e14,e11) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e10 )
| op1(e14,e10) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e14 )
| op1(e13,e14) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e13 )
| op1(e13,e13) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e12 )
| op1(e13,e12) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e11 )
| op1(e13,e11) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e10 )
| op1(e13,e10) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e14 )
| op1(e12,e14) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e13 )
| op1(e12,e13) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e12 )
| op1(e12,e12) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e11 )
| op1(e12,e11) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e10 )
| op1(e12,e10) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e14 )
| op1(e11,e14) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e13 )
| op1(e11,e13) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e12 )
| op1(e11,e12) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e11 )
| op1(e11,e11) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e10 )
| op1(e11,e10) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e14 )
| op1(e10,e14) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e13 )
| op1(e10,e13) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e12 )
| op1(e10,e12) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e11 )
| op1(e10,e11) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e10 )
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f879,plain,
( sP32_prd
<=> ( ( ( e10 != unit1
& op1(e14,e10) = e14 )
| op1(e14,e14) != e10 )
& sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f824,f878]) ).
fof(f880,plain,
( ( ( ( e10 = unit1
| op1(e14,e10) != e14 )
& op1(e14,e14) = e10 )
| ~ sP40_prd
| sP32_prd )
& ( ( ( ( e10 != unit1
& op1(e14,e10) = e14 )
| op1(e14,e14) != e10 )
& sP40_prd )
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f879]) ).
fof(f881,plain,
( sP40_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f880]) ).
fof(f886,definition,
( sP41_prd
<=> ( ( ( e11 != unit1
& op1(e14,e11) = e12 )
| op1(e14,e12) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e11 )
| op1(e14,e11) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e10 )
| op1(e14,e10) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e14 )
| op1(e13,e14) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f887,plain,
( sP33_prd
<=> ( ( ( e11 != unit1
& op1(e14,e11) = e13 )
| op1(e14,e13) != e11 )
& sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f826,f886]) ).
fof(f888,plain,
( ( ( ( e11 = unit1
| op1(e14,e11) != e13 )
& op1(e14,e13) = e11 )
| ~ sP41_prd
| sP33_prd )
& ( ( ( ( e11 != unit1
& op1(e14,e11) = e13 )
| op1(e14,e13) != e11 )
& sP41_prd )
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f887]) ).
fof(f889,plain,
( sP41_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f894,definition,
( sP42_prd
<=> ( ( ( e12 != unit1
& op1(e14,e12) = e11 )
| op1(e14,e11) != e12 )
& ( ( e12 != unit1
& op1(e14,e12) = e10 )
| op1(e14,e10) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e14 )
| op1(e13,e14) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e13 )
| op1(e13,e13) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f895,plain,
( sP34_prd
<=> ( ( ( e12 != unit1
& op1(e14,e12) = e12 )
| op1(e14,e12) != e12 )
& sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f835,f894]) ).
fof(f896,plain,
( ( ( ( e12 = unit1
| op1(e14,e12) != e12 )
& op1(e14,e12) = e12 )
| ~ sP42_prd
| sP34_prd )
& ( ( ( ( e12 != unit1
& op1(e14,e12) = e12 )
| op1(e14,e12) != e12 )
& sP42_prd )
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f895]) ).
fof(f897,plain,
( sP42_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f896]) ).
fof(f902,definition,
( sP43_prd
<=> ( ( ( e13 != unit1
& op1(e14,e13) = e10 )
| op1(e14,e10) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e14 )
| op1(e13,e14) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e13 )
| op1(e13,e13) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e12 )
| op1(e13,e12) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f903,plain,
( sP35_prd
<=> ( ( ( e13 != unit1
& op1(e14,e13) = e11 )
| op1(e14,e11) != e13 )
& sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f843,f902]) ).
fof(f904,plain,
( ( ( ( e13 = unit1
| op1(e14,e13) != e11 )
& op1(e14,e11) = e13 )
| ~ sP43_prd
| sP35_prd )
& ( ( ( ( e13 != unit1
& op1(e14,e13) = e11 )
| op1(e14,e11) != e13 )
& sP43_prd )
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f903]) ).
fof(f905,plain,
( sP43_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f904]) ).
fof(f910,definition,
( sP44_prd
<=> ( ( ( e20 != unit2
& op2(e24,e20) = e23 )
| op2(e24,e23) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e22 )
| op2(e24,e22) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e21 )
| op2(e24,e21) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e20 )
| op2(e24,e20) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e24 )
| op2(e23,e24) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f911,plain,
( sP36_prd
<=> ( ( ( e20 != unit2
& op2(e24,e20) = e24 )
| op2(e24,e24) != e20 )
& sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f851,f910]) ).
fof(f912,plain,
( ( ( ( e20 = unit2
| op2(e24,e20) != e24 )
& op2(e24,e24) = e20 )
| ~ sP44_prd
| sP36_prd )
& ( ( ( ( e20 != unit2
& op2(e24,e20) = e24 )
| op2(e24,e24) != e20 )
& sP44_prd )
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f911]) ).
fof(f913,plain,
( sP44_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f912]) ).
fof(f918,definition,
( sP45_prd
<=> ( ( ( e21 != unit2
& op2(e24,e21) = e22 )
| op2(e24,e22) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e21 )
| op2(e24,e21) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e20 )
| op2(e24,e20) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e24 )
| op2(e23,e24) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f919,plain,
( sP37_prd
<=> ( ( ( e21 != unit2
& op2(e24,e21) = e23 )
| op2(e24,e23) != e21 )
& sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f853,f918]) ).
fof(f920,plain,
( ( ( ( e21 = unit2
| op2(e24,e21) != e23 )
& op2(e24,e23) = e21 )
| ~ sP45_prd
| sP37_prd )
& ( ( ( ( e21 != unit2
& op2(e24,e21) = e23 )
| op2(e24,e23) != e21 )
& sP45_prd )
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f919]) ).
fof(f921,plain,
( sP45_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f920]) ).
fof(f922,plain,
( op2(e24,e21) = e23
| op2(e24,e23) != e21
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f920]) ).
fof(f926,definition,
( sP46_prd
<=> ( ( ( e22 != unit2
& op2(e24,e22) = e21 )
| op2(e24,e21) != e22 )
& ( ( e22 != unit2
& op2(e24,e22) = e20 )
| op2(e24,e20) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e24 )
| op2(e23,e24) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e23 )
| op2(e23,e23) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f927,plain,
( sP38_prd
<=> ( ( ( e22 != unit2
& op2(e24,e22) = e22 )
| op2(e24,e22) != e22 )
& sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f862,f926]) ).
fof(f928,plain,
( ( ( ( e22 = unit2
| op2(e24,e22) != e22 )
& op2(e24,e22) = e22 )
| ~ sP46_prd
| sP38_prd )
& ( ( ( ( e22 != unit2
& op2(e24,e22) = e22 )
| op2(e24,e22) != e22 )
& sP46_prd )
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f927]) ).
fof(f929,plain,
( sP46_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f928]) ).
fof(f934,definition,
( sP47_prd
<=> ( ( ( e23 != unit2
& op2(e24,e23) = e20 )
| op2(e24,e20) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e24 )
| op2(e23,e24) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e23 )
| op2(e23,e23) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e22 )
| op2(e23,e22) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f935,plain,
( sP39_prd
<=> ( ( ( e23 != unit2
& op2(e24,e23) = e21 )
| op2(e24,e21) != e23 )
& sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f870,f934]) ).
fof(f936,plain,
( ( ( ( e23 = unit2
| op2(e24,e23) != e21 )
& op2(e24,e21) = e23 )
| ~ sP47_prd
| sP39_prd )
& ( ( ( ( e23 != unit2
& op2(e24,e23) = e21 )
| op2(e24,e21) != e23 )
& sP47_prd )
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f935]) ).
fof(f937,plain,
( sP47_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f936]) ).
fof(f942,definition,
( sP48_prd
<=> ( ( ( e10 != unit1
& op1(e14,e10) = e12 )
| op1(e14,e12) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e11 )
| op1(e14,e11) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e10 )
| op1(e14,e10) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e14 )
| op1(e13,e14) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e13 )
| op1(e13,e13) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e12 )
| op1(e13,e12) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e11 )
| op1(e13,e11) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e10 )
| op1(e13,e10) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e14 )
| op1(e12,e14) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e13 )
| op1(e12,e13) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e12 )
| op1(e12,e12) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e11 )
| op1(e12,e11) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e10 )
| op1(e12,e10) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e14 )
| op1(e11,e14) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e13 )
| op1(e11,e13) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e12 )
| op1(e11,e12) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e11 )
| op1(e11,e11) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e10 )
| op1(e11,e10) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e14 )
| op1(e10,e14) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e13 )
| op1(e10,e13) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e12 )
| op1(e10,e12) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e11 )
| op1(e10,e11) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e10 )
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f943,plain,
( sP40_prd
<=> ( ( ( e10 != unit1
& op1(e14,e10) = e13 )
| op1(e14,e13) != e10 )
& sP48_prd ) ),
inference(formula_renaming,[status(thm)],[f878,f942]) ).
fof(f944,plain,
( ( ( ( e10 = unit1
| op1(e14,e10) != e13 )
& op1(e14,e13) = e10 )
| ~ sP48_prd
| sP40_prd )
& ( ( ( ( e10 != unit1
& op1(e14,e10) = e13 )
| op1(e14,e13) != e10 )
& sP48_prd )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f943]) ).
fof(f945,plain,
( sP48_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f944]) ).
fof(f950,definition,
( sP49_prd
<=> ( ( ( e11 != unit1
& op1(e14,e11) = e11 )
| op1(e14,e11) != e11 )
& ( ( e11 != unit1
& op1(e14,e11) = e10 )
| op1(e14,e10) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e14 )
| op1(e13,e14) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f951,plain,
( sP41_prd
<=> ( ( ( e11 != unit1
& op1(e14,e11) = e12 )
| op1(e14,e12) != e11 )
& sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f886,f950]) ).
fof(f952,plain,
( ( ( ( e11 = unit1
| op1(e14,e11) != e12 )
& op1(e14,e12) = e11 )
| ~ sP49_prd
| sP41_prd )
& ( ( ( ( e11 != unit1
& op1(e14,e11) = e12 )
| op1(e14,e12) != e11 )
& sP49_prd )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f951]) ).
fof(f953,plain,
( sP49_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f952]) ).
fof(f958,definition,
( sP50_prd
<=> ( ( ( e12 != unit1
& op1(e14,e12) = e10 )
| op1(e14,e10) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e14 )
| op1(e13,e14) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e13 )
| op1(e13,e13) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f959,plain,
( sP42_prd
<=> ( ( ( e12 != unit1
& op1(e14,e12) = e11 )
| op1(e14,e11) != e12 )
& sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f894,f958]) ).
fof(f960,plain,
( ( ( ( e12 = unit1
| op1(e14,e12) != e11 )
& op1(e14,e11) = e12 )
| ~ sP50_prd
| sP42_prd )
& ( ( ( ( e12 != unit1
& op1(e14,e12) = e11 )
| op1(e14,e11) != e12 )
& sP50_prd )
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f959]) ).
fof(f961,plain,
( sP50_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f960]) ).
fof(f966,definition,
( sP51_prd
<=> ( ( ( e13 != unit1
& op1(e13,e13) = e14 )
| op1(e13,e14) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e13 )
| op1(e13,e13) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e12 )
| op1(e13,e12) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f967,plain,
( sP43_prd
<=> ( ( ( e13 != unit1
& op1(e14,e13) = e10 )
| op1(e14,e10) != e13 )
& sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f902,f966]) ).
fof(f968,plain,
( ( ( ( e13 = unit1
| op1(e14,e13) != e10 )
& op1(e14,e10) = e13 )
| ~ sP51_prd
| sP43_prd )
& ( ( ( ( e13 != unit1
& op1(e14,e13) = e10 )
| op1(e14,e10) != e13 )
& sP51_prd )
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f967]) ).
fof(f969,plain,
( sP51_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f968]) ).
fof(f974,definition,
( sP52_prd
<=> ( ( ( e20 != unit2
& op2(e24,e20) = e22 )
| op2(e24,e22) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e21 )
| op2(e24,e21) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e20 )
| op2(e24,e20) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e24 )
| op2(e23,e24) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f975,plain,
( sP44_prd
<=> ( ( ( e20 != unit2
& op2(e24,e20) = e23 )
| op2(e24,e23) != e20 )
& sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f910,f974]) ).
fof(f976,plain,
( ( ( ( e20 = unit2
| op2(e24,e20) != e23 )
& op2(e24,e23) = e20 )
| ~ sP52_prd
| sP44_prd )
& ( ( ( ( e20 != unit2
& op2(e24,e20) = e23 )
| op2(e24,e23) != e20 )
& sP52_prd )
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f975]) ).
fof(f977,plain,
( sP52_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f976]) ).
fof(f982,definition,
( sP53_prd
<=> ( ( ( e21 != unit2
& op2(e24,e21) = e21 )
| op2(e24,e21) != e21 )
& ( ( e21 != unit2
& op2(e24,e21) = e20 )
| op2(e24,e20) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e24 )
| op2(e23,e24) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f983,plain,
( sP45_prd
<=> ( ( ( e21 != unit2
& op2(e24,e21) = e22 )
| op2(e24,e22) != e21 )
& sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f918,f982]) ).
fof(f984,plain,
( ( ( ( e21 = unit2
| op2(e24,e21) != e22 )
& op2(e24,e22) = e21 )
| ~ sP53_prd
| sP45_prd )
& ( ( ( ( e21 != unit2
& op2(e24,e21) = e22 )
| op2(e24,e22) != e21 )
& sP53_prd )
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f983]) ).
fof(f985,plain,
( sP53_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f984]) ).
fof(f990,definition,
( sP54_prd
<=> ( ( ( e22 != unit2
& op2(e24,e22) = e20 )
| op2(e24,e20) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e24 )
| op2(e23,e24) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e23 )
| op2(e23,e23) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f991,plain,
( sP46_prd
<=> ( ( ( e22 != unit2
& op2(e24,e22) = e21 )
| op2(e24,e21) != e22 )
& sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f926,f990]) ).
fof(f992,plain,
( ( ( ( e22 = unit2
| op2(e24,e22) != e21 )
& op2(e24,e21) = e22 )
| ~ sP54_prd
| sP46_prd )
& ( ( ( ( e22 != unit2
& op2(e24,e22) = e21 )
| op2(e24,e21) != e22 )
& sP54_prd )
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f991]) ).
fof(f993,plain,
( sP54_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f992]) ).
fof(f998,definition,
( sP55_prd
<=> ( ( ( e23 != unit2
& op2(e23,e23) = e24 )
| op2(e23,e24) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e23 )
| op2(e23,e23) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e22 )
| op2(e23,e22) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f999,plain,
( sP47_prd
<=> ( ( ( e23 != unit2
& op2(e24,e23) = e20 )
| op2(e24,e20) != e23 )
& sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f934,f998]) ).
fof(f1000,plain,
( ( ( ( e23 = unit2
| op2(e24,e23) != e20 )
& op2(e24,e20) = e23 )
| ~ sP55_prd
| sP47_prd )
& ( ( ( ( e23 != unit2
& op2(e24,e23) = e20 )
| op2(e24,e20) != e23 )
& sP55_prd )
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f999]) ).
fof(f1001,plain,
( sP55_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f1000]) ).
fof(f1006,definition,
( sP56_prd
<=> ( ( ( e10 != unit1
& op1(e14,e10) = e11 )
| op1(e14,e11) != e10 )
& ( ( e10 != unit1
& op1(e14,e10) = e10 )
| op1(e14,e10) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e14 )
| op1(e13,e14) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e13 )
| op1(e13,e13) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e12 )
| op1(e13,e12) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e11 )
| op1(e13,e11) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e10 )
| op1(e13,e10) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e14 )
| op1(e12,e14) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e13 )
| op1(e12,e13) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e12 )
| op1(e12,e12) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e11 )
| op1(e12,e11) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e10 )
| op1(e12,e10) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e14 )
| op1(e11,e14) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e13 )
| op1(e11,e13) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e12 )
| op1(e11,e12) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e11 )
| op1(e11,e11) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e10 )
| op1(e11,e10) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e14 )
| op1(e10,e14) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e13 )
| op1(e10,e13) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e12 )
| op1(e10,e12) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e11 )
| op1(e10,e11) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e10 )
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f1007,plain,
( sP48_prd
<=> ( ( ( e10 != unit1
& op1(e14,e10) = e12 )
| op1(e14,e12) != e10 )
& sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f942,f1006]) ).
fof(f1008,plain,
( ( ( ( e10 = unit1
| op1(e14,e10) != e12 )
& op1(e14,e12) = e10 )
| ~ sP56_prd
| sP48_prd )
& ( ( ( ( e10 != unit1
& op1(e14,e10) = e12 )
| op1(e14,e12) != e10 )
& sP56_prd )
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f1007]) ).
fof(f1009,plain,
( sP56_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f1008]) ).
fof(f1014,definition,
( sP57_prd
<=> ( ( ( e11 != unit1
& op1(e14,e11) = e10 )
| op1(e14,e10) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e14 )
| op1(e13,e14) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f1015,plain,
( sP49_prd
<=> ( ( ( e11 != unit1
& op1(e14,e11) = e11 )
| op1(e14,e11) != e11 )
& sP57_prd ) ),
inference(formula_renaming,[status(thm)],[f950,f1014]) ).
fof(f1016,plain,
( ( ( ( e11 = unit1
| op1(e14,e11) != e11 )
& op1(e14,e11) = e11 )
| ~ sP57_prd
| sP49_prd )
& ( ( ( ( e11 != unit1
& op1(e14,e11) = e11 )
| op1(e14,e11) != e11 )
& sP57_prd )
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f1015]) ).
fof(f1017,plain,
( sP57_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f1016]) ).
fof(f1022,definition,
( sP58_prd
<=> ( ( ( e12 != unit1
& op1(e13,e12) = e14 )
| op1(e13,e14) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e13 )
| op1(e13,e13) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f1023,plain,
( sP50_prd
<=> ( ( ( e12 != unit1
& op1(e14,e12) = e10 )
| op1(e14,e10) != e12 )
& sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f958,f1022]) ).
fof(f1024,plain,
( ( ( ( e12 = unit1
| op1(e14,e12) != e10 )
& op1(e14,e10) = e12 )
| ~ sP58_prd
| sP50_prd )
& ( ( ( ( e12 != unit1
& op1(e14,e12) = e10 )
| op1(e14,e10) != e12 )
& sP58_prd )
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f1023]) ).
fof(f1025,plain,
( sP58_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f1024]) ).
fof(f1030,definition,
( sP59_prd
<=> ( ( ( e13 != unit1
& op1(e13,e13) = e13 )
| op1(e13,e13) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e12 )
| op1(e13,e12) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f1031,plain,
( sP51_prd
<=> ( ( ( e13 != unit1
& op1(e13,e13) = e14 )
| op1(e13,e14) != e13 )
& sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f966,f1030]) ).
fof(f1032,plain,
( ( ( ( e13 = unit1
| op1(e13,e13) != e14 )
& op1(e13,e14) = e13 )
| ~ sP59_prd
| sP51_prd )
& ( ( ( ( e13 != unit1
& op1(e13,e13) = e14 )
| op1(e13,e14) != e13 )
& sP59_prd )
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f1031]) ).
fof(f1033,plain,
( sP59_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f1032]) ).
fof(f1038,definition,
( sP60_prd
<=> ( ( ( e20 != unit2
& op2(e24,e20) = e21 )
| op2(e24,e21) != e20 )
& ( ( e20 != unit2
& op2(e24,e20) = e20 )
| op2(e24,e20) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e24 )
| op2(e23,e24) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f1039,plain,
( sP52_prd
<=> ( ( ( e20 != unit2
& op2(e24,e20) = e22 )
| op2(e24,e22) != e20 )
& sP60_prd ) ),
inference(formula_renaming,[status(thm)],[f974,f1038]) ).
fof(f1040,plain,
( ( ( ( e20 = unit2
| op2(e24,e20) != e22 )
& op2(e24,e22) = e20 )
| ~ sP60_prd
| sP52_prd )
& ( ( ( ( e20 != unit2
& op2(e24,e20) = e22 )
| op2(e24,e22) != e20 )
& sP60_prd )
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f1039]) ).
fof(f1041,plain,
( sP60_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f1040]) ).
fof(f1046,definition,
( sP61_prd
<=> ( ( ( e21 != unit2
& op2(e24,e21) = e20 )
| op2(e24,e20) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e24 )
| op2(e23,e24) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f1047,plain,
( sP53_prd
<=> ( ( ( e21 != unit2
& op2(e24,e21) = e21 )
| op2(e24,e21) != e21 )
& sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f982,f1046]) ).
fof(f1048,plain,
( ( ( ( e21 = unit2
| op2(e24,e21) != e21 )
& op2(e24,e21) = e21 )
| ~ sP61_prd
| sP53_prd )
& ( ( ( ( e21 != unit2
& op2(e24,e21) = e21 )
| op2(e24,e21) != e21 )
& sP61_prd )
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f1047]) ).
fof(f1049,plain,
( sP61_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f1048]) ).
fof(f1054,definition,
( sP62_prd
<=> ( ( ( e22 != unit2
& op2(e23,e22) = e24 )
| op2(e23,e24) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e23 )
| op2(e23,e23) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f1055,plain,
( sP54_prd
<=> ( ( ( e22 != unit2
& op2(e24,e22) = e20 )
| op2(e24,e20) != e22 )
& sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f990,f1054]) ).
fof(f1056,plain,
( ( ( ( e22 = unit2
| op2(e24,e22) != e20 )
& op2(e24,e20) = e22 )
| ~ sP62_prd
| sP54_prd )
& ( ( ( ( e22 != unit2
& op2(e24,e22) = e20 )
| op2(e24,e20) != e22 )
& sP62_prd )
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f1055]) ).
fof(f1057,plain,
( sP62_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f1056]) ).
fof(f1062,definition,
( sP63_prd
<=> ( ( ( e23 != unit2
& op2(e23,e23) = e23 )
| op2(e23,e23) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e22 )
| op2(e23,e22) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f1063,plain,
( sP55_prd
<=> ( ( ( e23 != unit2
& op2(e23,e23) = e24 )
| op2(e23,e24) != e23 )
& sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f998,f1062]) ).
fof(f1064,plain,
( ( ( ( e23 = unit2
| op2(e23,e23) != e24 )
& op2(e23,e24) = e23 )
| ~ sP63_prd
| sP55_prd )
& ( ( ( ( e23 != unit2
& op2(e23,e23) = e24 )
| op2(e23,e24) != e23 )
& sP63_prd )
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f1063]) ).
fof(f1065,plain,
( sP63_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f1064]) ).
fof(f1070,definition,
( sP64_prd
<=> ( ( ( e10 != unit1
& op1(e14,e10) = e10 )
| op1(e14,e10) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e14 )
| op1(e13,e14) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e13 )
| op1(e13,e13) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e12 )
| op1(e13,e12) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e11 )
| op1(e13,e11) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e10 )
| op1(e13,e10) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e14 )
| op1(e12,e14) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e13 )
| op1(e12,e13) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e12 )
| op1(e12,e12) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e11 )
| op1(e12,e11) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e10 )
| op1(e12,e10) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e14 )
| op1(e11,e14) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e13 )
| op1(e11,e13) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e12 )
| op1(e11,e12) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e11 )
| op1(e11,e11) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e10 )
| op1(e11,e10) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e14 )
| op1(e10,e14) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e13 )
| op1(e10,e13) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e12 )
| op1(e10,e12) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e11 )
| op1(e10,e11) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e10 )
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f1071,plain,
( sP56_prd
<=> ( ( ( e10 != unit1
& op1(e14,e10) = e11 )
| op1(e14,e11) != e10 )
& sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f1006,f1070]) ).
fof(f1072,plain,
( ( ( ( e10 = unit1
| op1(e14,e10) != e11 )
& op1(e14,e11) = e10 )
| ~ sP64_prd
| sP56_prd )
& ( ( ( ( e10 != unit1
& op1(e14,e10) = e11 )
| op1(e14,e11) != e10 )
& sP64_prd )
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f1071]) ).
fof(f1073,plain,
( sP64_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f1072]) ).
fof(f1078,definition,
( sP65_prd
<=> ( ( ( e11 != unit1
& op1(e13,e11) = e14 )
| op1(e13,e14) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f1079,plain,
( sP57_prd
<=> ( ( ( e11 != unit1
& op1(e14,e11) = e10 )
| op1(e14,e10) != e11 )
& sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f1014,f1078]) ).
fof(f1080,plain,
( ( ( ( e11 = unit1
| op1(e14,e11) != e10 )
& op1(e14,e10) = e11 )
| ~ sP65_prd
| sP57_prd )
& ( ( ( ( e11 != unit1
& op1(e14,e11) = e10 )
| op1(e14,e10) != e11 )
& sP65_prd )
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f1079]) ).
fof(f1081,plain,
( sP65_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f1080]) ).
fof(f1086,definition,
( sP66_prd
<=> ( ( ( e12 != unit1
& op1(e13,e12) = e13 )
| op1(e13,e13) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f1087,plain,
( sP58_prd
<=> ( ( ( e12 != unit1
& op1(e13,e12) = e14 )
| op1(e13,e14) != e12 )
& sP66_prd ) ),
inference(formula_renaming,[status(thm)],[f1022,f1086]) ).
fof(f1088,plain,
( ( ( ( e12 = unit1
| op1(e13,e12) != e14 )
& op1(e13,e14) = e12 )
| ~ sP66_prd
| sP58_prd )
& ( ( ( ( e12 != unit1
& op1(e13,e12) = e14 )
| op1(e13,e14) != e12 )
& sP66_prd )
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f1087]) ).
fof(f1089,plain,
( sP66_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f1088]) ).
fof(f1094,definition,
( sP67_prd
<=> ( ( ( e13 != unit1
& op1(e13,e13) = e12 )
| op1(e13,e12) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f1095,plain,
( sP59_prd
<=> ( ( ( e13 != unit1
& op1(e13,e13) = e13 )
| op1(e13,e13) != e13 )
& sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f1030,f1094]) ).
fof(f1096,plain,
( ( ( ( e13 = unit1
| op1(e13,e13) != e13 )
& op1(e13,e13) = e13 )
| ~ sP67_prd
| sP59_prd )
& ( ( ( ( e13 != unit1
& op1(e13,e13) = e13 )
| op1(e13,e13) != e13 )
& sP67_prd )
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f1095]) ).
fof(f1097,plain,
( sP67_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f1096]) ).
fof(f1102,definition,
( sP68_prd
<=> ( ( ( e20 != unit2
& op2(e24,e20) = e20 )
| op2(e24,e20) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e24 )
| op2(e23,e24) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f1103,plain,
( sP60_prd
<=> ( ( ( e20 != unit2
& op2(e24,e20) = e21 )
| op2(e24,e21) != e20 )
& sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f1038,f1102]) ).
fof(f1104,plain,
( ( ( ( e20 = unit2
| op2(e24,e20) != e21 )
& op2(e24,e21) = e20 )
| ~ sP68_prd
| sP60_prd )
& ( ( ( ( e20 != unit2
& op2(e24,e20) = e21 )
| op2(e24,e21) != e20 )
& sP68_prd )
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f1103]) ).
fof(f1105,plain,
( sP68_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f1104]) ).
fof(f1110,definition,
( sP69_prd
<=> ( ( ( e21 != unit2
& op2(e23,e21) = e24 )
| op2(e23,e24) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f1111,plain,
( sP61_prd
<=> ( ( ( e21 != unit2
& op2(e24,e21) = e20 )
| op2(e24,e20) != e21 )
& sP69_prd ) ),
inference(formula_renaming,[status(thm)],[f1046,f1110]) ).
fof(f1112,plain,
( ( ( ( e21 = unit2
| op2(e24,e21) != e20 )
& op2(e24,e20) = e21 )
| ~ sP69_prd
| sP61_prd )
& ( ( ( ( e21 != unit2
& op2(e24,e21) = e20 )
| op2(e24,e20) != e21 )
& sP69_prd )
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f1111]) ).
fof(f1113,plain,
( sP69_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f1112]) ).
fof(f1118,definition,
( sP70_prd
<=> ( ( ( e22 != unit2
& op2(e23,e22) = e23 )
| op2(e23,e23) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f1119,plain,
( sP62_prd
<=> ( ( ( e22 != unit2
& op2(e23,e22) = e24 )
| op2(e23,e24) != e22 )
& sP70_prd ) ),
inference(formula_renaming,[status(thm)],[f1054,f1118]) ).
fof(f1120,plain,
( ( ( ( e22 = unit2
| op2(e23,e22) != e24 )
& op2(e23,e24) = e22 )
| ~ sP70_prd
| sP62_prd )
& ( ( ( ( e22 != unit2
& op2(e23,e22) = e24 )
| op2(e23,e24) != e22 )
& sP70_prd )
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f1119]) ).
fof(f1121,plain,
( sP70_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f1120]) ).
fof(f1126,definition,
( sP71_prd
<=> ( ( ( e23 != unit2
& op2(e23,e23) = e22 )
| op2(e23,e22) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f1127,plain,
( sP63_prd
<=> ( ( ( e23 != unit2
& op2(e23,e23) = e23 )
| op2(e23,e23) != e23 )
& sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f1062,f1126]) ).
fof(f1128,plain,
( ( ( ( e23 = unit2
| op2(e23,e23) != e23 )
& op2(e23,e23) = e23 )
| ~ sP71_prd
| sP63_prd )
& ( ( ( ( e23 != unit2
& op2(e23,e23) = e23 )
| op2(e23,e23) != e23 )
& sP71_prd )
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f1127]) ).
fof(f1129,plain,
( sP71_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f1128]) ).
fof(f1134,definition,
( sP72_prd
<=> ( ( ( e10 != unit1
& op1(e13,e10) = e14 )
| op1(e13,e14) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e13 )
| op1(e13,e13) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e12 )
| op1(e13,e12) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e11 )
| op1(e13,e11) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e10 )
| op1(e13,e10) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e14 )
| op1(e12,e14) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e13 )
| op1(e12,e13) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e12 )
| op1(e12,e12) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e11 )
| op1(e12,e11) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e10 )
| op1(e12,e10) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e14 )
| op1(e11,e14) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e13 )
| op1(e11,e13) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e12 )
| op1(e11,e12) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e11 )
| op1(e11,e11) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e10 )
| op1(e11,e10) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e14 )
| op1(e10,e14) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e13 )
| op1(e10,e13) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e12 )
| op1(e10,e12) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e11 )
| op1(e10,e11) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e10 )
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP72_prd])],[]) ).
fof(f1135,plain,
( sP64_prd
<=> ( ( ( e10 != unit1
& op1(e14,e10) = e10 )
| op1(e14,e10) != e10 )
& sP72_prd ) ),
inference(formula_renaming,[status(thm)],[f1070,f1134]) ).
fof(f1136,plain,
( ( ( ( e10 = unit1
| op1(e14,e10) != e10 )
& op1(e14,e10) = e10 )
| ~ sP72_prd
| sP64_prd )
& ( ( ( ( e10 != unit1
& op1(e14,e10) = e10 )
| op1(e14,e10) != e10 )
& sP72_prd )
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f1135]) ).
fof(f1137,plain,
( sP72_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f1136]) ).
fof(f1142,definition,
( sP73_prd
<=> ( ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP73_prd])],[]) ).
fof(f1143,plain,
( sP65_prd
<=> ( ( ( e11 != unit1
& op1(e13,e11) = e14 )
| op1(e13,e14) != e11 )
& sP73_prd ) ),
inference(formula_renaming,[status(thm)],[f1078,f1142]) ).
fof(f1144,plain,
( ( ( ( e11 = unit1
| op1(e13,e11) != e14 )
& op1(e13,e14) = e11 )
| ~ sP73_prd
| sP65_prd )
& ( ( ( ( e11 != unit1
& op1(e13,e11) = e14 )
| op1(e13,e14) != e11 )
& sP73_prd )
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f1143]) ).
fof(f1145,plain,
( sP73_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f1144]) ).
fof(f1150,definition,
( sP74_prd
<=> ( ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP74_prd])],[]) ).
fof(f1151,plain,
( sP66_prd
<=> ( ( ( e12 != unit1
& op1(e13,e12) = e13 )
| op1(e13,e13) != e12 )
& sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f1086,f1150]) ).
fof(f1152,plain,
( ( ( ( e12 = unit1
| op1(e13,e12) != e13 )
& op1(e13,e13) = e12 )
| ~ sP74_prd
| sP66_prd )
& ( ( ( ( e12 != unit1
& op1(e13,e12) = e13 )
| op1(e13,e13) != e12 )
& sP74_prd )
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f1151]) ).
fof(f1153,plain,
( sP74_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f1152]) ).
fof(f1158,definition,
( sP75_prd
<=> ( ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP75_prd])],[]) ).
fof(f1159,plain,
( sP67_prd
<=> ( ( ( e13 != unit1
& op1(e13,e13) = e12 )
| op1(e13,e12) != e13 )
& sP75_prd ) ),
inference(formula_renaming,[status(thm)],[f1094,f1158]) ).
fof(f1160,plain,
( ( ( ( e13 = unit1
| op1(e13,e13) != e12 )
& op1(e13,e12) = e13 )
| ~ sP75_prd
| sP67_prd )
& ( ( ( ( e13 != unit1
& op1(e13,e13) = e12 )
| op1(e13,e12) != e13 )
& sP75_prd )
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f1159]) ).
fof(f1161,plain,
( sP75_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f1160]) ).
fof(f1166,definition,
( sP76_prd
<=> ( ( ( e20 != unit2
& op2(e23,e20) = e24 )
| op2(e23,e24) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP76_prd])],[]) ).
fof(f1167,plain,
( sP68_prd
<=> ( ( ( e20 != unit2
& op2(e24,e20) = e20 )
| op2(e24,e20) != e20 )
& sP76_prd ) ),
inference(formula_renaming,[status(thm)],[f1102,f1166]) ).
fof(f1168,plain,
( ( ( ( e20 = unit2
| op2(e24,e20) != e20 )
& op2(e24,e20) = e20 )
| ~ sP76_prd
| sP68_prd )
& ( ( ( ( e20 != unit2
& op2(e24,e20) = e20 )
| op2(e24,e20) != e20 )
& sP76_prd )
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f1167]) ).
fof(f1169,plain,
( sP76_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f1168]) ).
fof(f1174,definition,
( sP77_prd
<=> ( ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP77_prd])],[]) ).
fof(f1175,plain,
( sP69_prd
<=> ( ( ( e21 != unit2
& op2(e23,e21) = e24 )
| op2(e23,e24) != e21 )
& sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f1110,f1174]) ).
fof(f1176,plain,
( ( ( ( e21 = unit2
| op2(e23,e21) != e24 )
& op2(e23,e24) = e21 )
| ~ sP77_prd
| sP69_prd )
& ( ( ( ( e21 != unit2
& op2(e23,e21) = e24 )
| op2(e23,e24) != e21 )
& sP77_prd )
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f1175]) ).
fof(f1177,plain,
( sP77_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f1176]) ).
fof(f1182,definition,
( sP78_prd
<=> ( ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP78_prd])],[]) ).
fof(f1183,plain,
( sP70_prd
<=> ( ( ( e22 != unit2
& op2(e23,e22) = e23 )
| op2(e23,e23) != e22 )
& sP78_prd ) ),
inference(formula_renaming,[status(thm)],[f1118,f1182]) ).
fof(f1184,plain,
( ( ( ( e22 = unit2
| op2(e23,e22) != e23 )
& op2(e23,e23) = e22 )
| ~ sP78_prd
| sP70_prd )
& ( ( ( ( e22 != unit2
& op2(e23,e22) = e23 )
| op2(e23,e23) != e22 )
& sP78_prd )
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f1183]) ).
fof(f1185,plain,
( sP78_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f1184]) ).
fof(f1190,definition,
( sP79_prd
<=> ( ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP79_prd])],[]) ).
fof(f1191,plain,
( sP71_prd
<=> ( ( ( e23 != unit2
& op2(e23,e23) = e22 )
| op2(e23,e22) != e23 )
& sP79_prd ) ),
inference(formula_renaming,[status(thm)],[f1126,f1190]) ).
fof(f1192,plain,
( ( ( ( e23 = unit2
| op2(e23,e23) != e22 )
& op2(e23,e22) = e23 )
| ~ sP79_prd
| sP71_prd )
& ( ( ( ( e23 != unit2
& op2(e23,e23) = e22 )
| op2(e23,e22) != e23 )
& sP79_prd )
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f1191]) ).
fof(f1193,plain,
( sP79_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f1192]) ).
fof(f1198,definition,
( sP80_prd
<=> ( ( ( e10 != unit1
& op1(e13,e10) = e13 )
| op1(e13,e13) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e12 )
| op1(e13,e12) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e11 )
| op1(e13,e11) != e10 )
& ( ( e10 != unit1
& op1(e13,e10) = e10 )
| op1(e13,e10) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e14 )
| op1(e12,e14) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e13 )
| op1(e12,e13) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e12 )
| op1(e12,e12) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e11 )
| op1(e12,e11) != e10 )
& ( ( e10 != unit1
& op1(e12,e10) = e10 )
| op1(e12,e10) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e14 )
| op1(e11,e14) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e13 )
| op1(e11,e13) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e12 )
| op1(e11,e12) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e11 )
| op1(e11,e11) != e10 )
& ( ( e10 != unit1
& op1(e11,e10) = e10 )
| op1(e11,e10) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e14 )
| op1(e10,e14) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e13 )
| op1(e10,e13) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e12 )
| op1(e10,e12) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e11 )
| op1(e10,e11) != e10 )
& ( ( e10 != unit1
& op1(e10,e10) = e10 )
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP80_prd])],[]) ).
fof(f1199,plain,
( sP72_prd
<=> ( ( ( e10 != unit1
& op1(e13,e10) = e14 )
| op1(e13,e14) != e10 )
& sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f1134,f1198]) ).
fof(f1200,plain,
( ( ( ( e10 = unit1
| op1(e13,e10) != e14 )
& op1(e13,e14) = e10 )
| ~ sP80_prd
| sP72_prd )
& ( ( ( ( e10 != unit1
& op1(e13,e10) = e14 )
| op1(e13,e14) != e10 )
& sP80_prd )
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f1199]) ).
fof(f1202,plain,
( op1(e13,e10) = e14
| op1(e13,e14) != e10
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f1200]) ).
fof(f1206,definition,
( sP81_prd
<=> ( ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP81_prd])],[]) ).
fof(f1207,plain,
( sP73_prd
<=> ( ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& sP81_prd ) ),
inference(formula_renaming,[status(thm)],[f1142,f1206]) ).
fof(f1208,plain,
( ( ( ( e11 = unit1
| op1(e13,e11) != e13 )
& op1(e13,e13) = e11 )
| ~ sP81_prd
| sP73_prd )
& ( ( ( ( e11 != unit1
& op1(e13,e11) = e13 )
| op1(e13,e13) != e11 )
& sP81_prd )
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f1207]) ).
fof(f1209,plain,
( sP81_prd
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f1208]) ).
fof(f1214,definition,
( sP82_prd
<=> ( ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP82_prd])],[]) ).
fof(f1215,plain,
( sP74_prd
<=> ( ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& sP82_prd ) ),
inference(formula_renaming,[status(thm)],[f1150,f1214]) ).
fof(f1216,plain,
( ( ( ( e12 = unit1
| op1(e13,e12) != e12 )
& op1(e13,e12) = e12 )
| ~ sP82_prd
| sP74_prd )
& ( ( ( ( e12 != unit1
& op1(e13,e12) = e12 )
| op1(e13,e12) != e12 )
& sP82_prd )
| ~ sP74_prd ) ),
inference(NNF_transformation,[status(thm)],[f1215]) ).
fof(f1217,plain,
( sP82_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f1216]) ).
fof(f1222,definition,
( sP83_prd
<=> ( ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP83_prd])],[]) ).
fof(f1223,plain,
( sP75_prd
<=> ( ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f1158,f1222]) ).
fof(f1224,plain,
( ( ( ( e13 = unit1
| op1(e13,e13) != e11 )
& op1(e13,e11) = e13 )
| ~ sP83_prd
| sP75_prd )
& ( ( ( ( e13 != unit1
& op1(e13,e13) = e11 )
| op1(e13,e11) != e13 )
& sP83_prd )
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f1223]) ).
fof(f1225,plain,
( sP83_prd
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f1224]) ).
fof(f1230,definition,
( sP84_prd
<=> ( ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP84_prd])],[]) ).
fof(f1231,plain,
( sP76_prd
<=> ( ( ( e20 != unit2
& op2(e23,e20) = e24 )
| op2(e23,e24) != e20 )
& sP84_prd ) ),
inference(formula_renaming,[status(thm)],[f1166,f1230]) ).
fof(f1232,plain,
( ( ( ( e20 = unit2
| op2(e23,e20) != e24 )
& op2(e23,e24) = e20 )
| ~ sP84_prd
| sP76_prd )
& ( ( ( ( e20 != unit2
& op2(e23,e20) = e24 )
| op2(e23,e24) != e20 )
& sP84_prd )
| ~ sP76_prd ) ),
inference(NNF_transformation,[status(thm)],[f1231]) ).
fof(f1233,plain,
( sP84_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f1232]) ).
fof(f1238,definition,
( sP85_prd
<=> ( ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP85_prd])],[]) ).
fof(f1239,plain,
( sP77_prd
<=> ( ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& sP85_prd ) ),
inference(formula_renaming,[status(thm)],[f1174,f1238]) ).
fof(f1240,plain,
( ( ( ( e21 = unit2
| op2(e23,e21) != e23 )
& op2(e23,e23) = e21 )
| ~ sP85_prd
| sP77_prd )
& ( ( ( ( e21 != unit2
& op2(e23,e21) = e23 )
| op2(e23,e23) != e21 )
& sP85_prd )
| ~ sP77_prd ) ),
inference(NNF_transformation,[status(thm)],[f1239]) ).
fof(f1241,plain,
( sP85_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f1240]) ).
fof(f1246,definition,
( sP86_prd
<=> ( ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP86_prd])],[]) ).
fof(f1247,plain,
( sP78_prd
<=> ( ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& sP86_prd ) ),
inference(formula_renaming,[status(thm)],[f1182,f1246]) ).
fof(f1248,plain,
( ( ( ( e22 = unit2
| op2(e23,e22) != e22 )
& op2(e23,e22) = e22 )
| ~ sP86_prd
| sP78_prd )
& ( ( ( ( e22 != unit2
& op2(e23,e22) = e22 )
| op2(e23,e22) != e22 )
& sP86_prd )
| ~ sP78_prd ) ),
inference(NNF_transformation,[status(thm)],[f1247]) ).
fof(f1249,plain,
( sP86_prd
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f1248]) ).
fof(f1254,definition,
( sP87_prd
<=> ( ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP87_prd])],[]) ).
fof(f1255,plain,
( sP79_prd
<=> ( ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& sP87_prd ) ),
inference(formula_renaming,[status(thm)],[f1190,f1254]) ).
fof(f1256,plain,
( ( ( ( e23 = unit2
| op2(e23,e23) != e21 )
& op2(e23,e21) = e23 )
| ~ sP87_prd
| sP79_prd )
& ( ( ( ( e23 != unit2
& op2(e23,e23) = e21 )
| op2(e23,e21) != e23 )
& sP87_prd )
| ~ sP79_prd ) ),
inference(NNF_transformation,[status(thm)],[f1255]) ).
fof(f1257,plain,
( sP87_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f1256]) ).
fof(f1270,definition,
( sP89_prd
<=> ( ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP89_prd])],[]) ).
fof(f1271,plain,
( sP81_prd
<=> ( ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f1206,f1270]) ).
fof(f1272,plain,
( ( ( ( e11 = unit1
| op1(e13,e11) != e12 )
& op1(e13,e12) = e11 )
| ~ sP89_prd
| sP81_prd )
& ( ( ( ( e11 != unit1
& op1(e13,e11) = e12 )
| op1(e13,e12) != e11 )
& sP89_prd )
| ~ sP81_prd ) ),
inference(NNF_transformation,[status(thm)],[f1271]) ).
fof(f1273,plain,
( sP89_prd
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f1272]) ).
fof(f1278,definition,
( sP90_prd
<=> ( ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP90_prd])],[]) ).
fof(f1279,plain,
( sP82_prd
<=> ( ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& sP90_prd ) ),
inference(formula_renaming,[status(thm)],[f1214,f1278]) ).
fof(f1280,plain,
( ( ( ( e12 = unit1
| op1(e13,e12) != e11 )
& op1(e13,e11) = e12 )
| ~ sP90_prd
| sP82_prd )
& ( ( ( ( e12 != unit1
& op1(e13,e12) = e11 )
| op1(e13,e11) != e12 )
& sP90_prd )
| ~ sP82_prd ) ),
inference(NNF_transformation,[status(thm)],[f1279]) ).
fof(f1281,plain,
( sP90_prd
| ~ sP82_prd ),
inference(cnf_transformation,[status(thm)],[f1280]) ).
fof(f1286,definition,
( sP91_prd
<=> ( ( ( e13 != unit1
& op1(e12,e13) = e14 )
| op1(e12,e14) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e13 )
| op1(e12,e13) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e12 )
| op1(e12,e12) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e11 )
| op1(e12,e11) != e13 )
& ( ( e13 != unit1
& op1(e12,e13) = e10 )
| op1(e12,e10) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e14 )
| op1(e11,e14) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e13 )
| op1(e11,e13) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e12 )
| op1(e11,e12) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e11 )
| op1(e11,e11) != e13 )
& ( ( e13 != unit1
& op1(e11,e13) = e10 )
| op1(e11,e10) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e14 )
| op1(e10,e14) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e13 )
| op1(e10,e13) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e12 )
| op1(e10,e12) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e11 )
| op1(e10,e11) != e13 )
& ( ( e13 != unit1
& op1(e10,e13) = e10 )
| op1(e10,e10) != e13 ) ) ),
introduced(definition,[new_symbols(definition,[sP91_prd])],[]) ).
fof(f1287,plain,
( sP83_prd
<=> ( ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& sP91_prd ) ),
inference(formula_renaming,[status(thm)],[f1222,f1286]) ).
fof(f1288,plain,
( ( ( ( e13 = unit1
| op1(e13,e13) != e10 )
& op1(e13,e10) = e13 )
| ~ sP91_prd
| sP83_prd )
& ( ( ( ( e13 != unit1
& op1(e13,e13) = e10 )
| op1(e13,e10) != e13 )
& sP91_prd )
| ~ sP83_prd ) ),
inference(NNF_transformation,[status(thm)],[f1287]) ).
fof(f1290,plain,
( op1(e13,e13) = e10
| op1(e13,e10) != e13
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f1288]) ).
fof(f1294,definition,
( sP92_prd
<=> ( ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP92_prd])],[]) ).
fof(f1295,plain,
( sP84_prd
<=> ( ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& sP92_prd ) ),
inference(formula_renaming,[status(thm)],[f1230,f1294]) ).
fof(f1296,plain,
( ( ( ( e20 = unit2
| op2(e23,e20) != e23 )
& op2(e23,e23) = e20 )
| ~ sP92_prd
| sP84_prd )
& ( ( ( ( e20 != unit2
& op2(e23,e20) = e23 )
| op2(e23,e23) != e20 )
& sP92_prd )
| ~ sP84_prd ) ),
inference(NNF_transformation,[status(thm)],[f1295]) ).
fof(f1297,plain,
( sP92_prd
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f1296]) ).
fof(f1302,definition,
( sP93_prd
<=> ( ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP93_prd])],[]) ).
fof(f1303,plain,
( sP85_prd
<=> ( ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& sP93_prd ) ),
inference(formula_renaming,[status(thm)],[f1238,f1302]) ).
fof(f1304,plain,
( ( ( ( e21 = unit2
| op2(e23,e21) != e22 )
& op2(e23,e22) = e21 )
| ~ sP93_prd
| sP85_prd )
& ( ( ( ( e21 != unit2
& op2(e23,e21) = e22 )
| op2(e23,e22) != e21 )
& sP93_prd )
| ~ sP85_prd ) ),
inference(NNF_transformation,[status(thm)],[f1303]) ).
fof(f1305,plain,
( sP93_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1304]) ).
fof(f1306,plain,
( op2(e23,e21) = e22
| op2(e23,e22) != e21
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1304]) ).
fof(f1310,definition,
( sP94_prd
<=> ( ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP94_prd])],[]) ).
fof(f1311,plain,
( sP86_prd
<=> ( ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& sP94_prd ) ),
inference(formula_renaming,[status(thm)],[f1246,f1310]) ).
fof(f1312,plain,
( ( ( ( e22 = unit2
| op2(e23,e22) != e21 )
& op2(e23,e21) = e22 )
| ~ sP94_prd
| sP86_prd )
& ( ( ( ( e22 != unit2
& op2(e23,e22) = e21 )
| op2(e23,e21) != e22 )
& sP94_prd )
| ~ sP86_prd ) ),
inference(NNF_transformation,[status(thm)],[f1311]) ).
fof(f1313,plain,
( sP94_prd
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1312]) ).
fof(f1318,definition,
( sP95_prd
<=> ( ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP95_prd])],[]) ).
fof(f1319,plain,
( sP87_prd
<=> ( ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& sP95_prd ) ),
inference(formula_renaming,[status(thm)],[f1254,f1318]) ).
fof(f1320,plain,
( ( ( ( e23 = unit2
| op2(e23,e23) != e20 )
& op2(e23,e20) = e23 )
| ~ sP95_prd
| sP87_prd )
& ( ( ( ( e23 != unit2
& op2(e23,e23) = e20 )
| op2(e23,e20) != e23 )
& sP95_prd )
| ~ sP87_prd ) ),
inference(NNF_transformation,[status(thm)],[f1319]) ).
fof(f1322,plain,
( op2(e23,e23) = e20
| op2(e23,e20) != e23
| ~ sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1320]) ).
fof(f1334,definition,
( sP97_prd
<=> ( ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP97_prd])],[]) ).
fof(f1335,plain,
( sP89_prd
<=> ( ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& sP97_prd ) ),
inference(formula_renaming,[status(thm)],[f1270,f1334]) ).
fof(f1336,plain,
( ( ( ( e11 = unit1
| op1(e13,e11) != e11 )
& op1(e13,e11) = e11 )
| ~ sP97_prd
| sP89_prd )
& ( ( ( ( e11 != unit1
& op1(e13,e11) = e11 )
| op1(e13,e11) != e11 )
& sP97_prd )
| ~ sP89_prd ) ),
inference(NNF_transformation,[status(thm)],[f1335]) ).
fof(f1337,plain,
( sP97_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1336]) ).
fof(f1342,definition,
( sP98_prd
<=> ( ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP98_prd])],[]) ).
fof(f1343,plain,
( sP90_prd
<=> ( ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& sP98_prd ) ),
inference(formula_renaming,[status(thm)],[f1278,f1342]) ).
fof(f1344,plain,
( ( ( ( e12 = unit1
| op1(e13,e12) != e10 )
& op1(e13,e10) = e12 )
| ~ sP98_prd
| sP90_prd )
& ( ( ( ( e12 != unit1
& op1(e13,e12) = e10 )
| op1(e13,e10) != e12 )
& sP98_prd )
| ~ sP90_prd ) ),
inference(NNF_transformation,[status(thm)],[f1343]) ).
fof(f1345,plain,
( sP98_prd
| ~ sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1344]) ).
fof(f1358,definition,
( sP100_prd
<=> ( ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP100_prd])],[]) ).
fof(f1359,plain,
( sP92_prd
<=> ( ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& sP100_prd ) ),
inference(formula_renaming,[status(thm)],[f1294,f1358]) ).
fof(f1360,plain,
( ( ( ( e20 = unit2
| op2(e23,e20) != e22 )
& op2(e23,e22) = e20 )
| ~ sP100_prd
| sP92_prd )
& ( ( ( ( e20 != unit2
& op2(e23,e20) = e22 )
| op2(e23,e22) != e20 )
& sP100_prd )
| ~ sP92_prd ) ),
inference(NNF_transformation,[status(thm)],[f1359]) ).
fof(f1361,plain,
( sP100_prd
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1360]) ).
fof(f1366,definition,
( sP101_prd
<=> ( ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP101_prd])],[]) ).
fof(f1367,plain,
( sP93_prd
<=> ( ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& sP101_prd ) ),
inference(formula_renaming,[status(thm)],[f1302,f1366]) ).
fof(f1368,plain,
( ( ( ( e21 = unit2
| op2(e23,e21) != e21 )
& op2(e23,e21) = e21 )
| ~ sP101_prd
| sP93_prd )
& ( ( ( ( e21 != unit2
& op2(e23,e21) = e21 )
| op2(e23,e21) != e21 )
& sP101_prd )
| ~ sP93_prd ) ),
inference(NNF_transformation,[status(thm)],[f1367]) ).
fof(f1369,plain,
( sP101_prd
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1368]) ).
fof(f1374,definition,
( sP102_prd
<=> ( ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP102_prd])],[]) ).
fof(f1375,plain,
( sP94_prd
<=> ( ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& sP102_prd ) ),
inference(formula_renaming,[status(thm)],[f1310,f1374]) ).
fof(f1376,plain,
( ( ( ( e22 = unit2
| op2(e23,e22) != e20 )
& op2(e23,e20) = e22 )
| ~ sP102_prd
| sP94_prd )
& ( ( ( ( e22 != unit2
& op2(e23,e22) = e20 )
| op2(e23,e20) != e22 )
& sP102_prd )
| ~ sP94_prd ) ),
inference(NNF_transformation,[status(thm)],[f1375]) ).
fof(f1377,plain,
( sP102_prd
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1376]) ).
fof(f1382,definition,
( sP103_prd
<=> ( ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP103_prd])],[]) ).
fof(f1383,plain,
( sP95_prd
<=> ( ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& sP103_prd ) ),
inference(formula_renaming,[status(thm)],[f1318,f1382]) ).
fof(f1384,plain,
( ( ( ( e23 = unit2
| op2(e22,e23) != e24 )
& op2(e22,e24) = e23 )
| ~ sP103_prd
| sP95_prd )
& ( ( ( ( e23 != unit2
& op2(e22,e23) = e24 )
| op2(e22,e24) != e23 )
& sP103_prd )
| ~ sP95_prd ) ),
inference(NNF_transformation,[status(thm)],[f1383]) ).
fof(f1385,plain,
( sP103_prd
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1384]) ).
fof(f1398,definition,
( sP105_prd
<=> ( ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP105_prd])],[]) ).
fof(f1399,plain,
( sP97_prd
<=> ( ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& sP105_prd ) ),
inference(formula_renaming,[status(thm)],[f1334,f1398]) ).
fof(f1400,plain,
( ( ( ( e11 = unit1
| op1(e13,e11) != e10 )
& op1(e13,e10) = e11 )
| ~ sP105_prd
| sP97_prd )
& ( ( ( ( e11 != unit1
& op1(e13,e11) = e10 )
| op1(e13,e10) != e11 )
& sP105_prd )
| ~ sP97_prd ) ),
inference(NNF_transformation,[status(thm)],[f1399]) ).
fof(f1401,plain,
( sP105_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1400]) ).
fof(f1406,definition,
( sP106_prd
<=> ( ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP106_prd])],[]) ).
fof(f1407,plain,
( sP98_prd
<=> ( ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& sP106_prd ) ),
inference(formula_renaming,[status(thm)],[f1342,f1406]) ).
fof(f1408,plain,
( ( ( ( e12 = unit1
| op1(e12,e12) != e14 )
& op1(e12,e14) = e12 )
| ~ sP106_prd
| sP98_prd )
& ( ( ( ( e12 != unit1
& op1(e12,e12) = e14 )
| op1(e12,e14) != e12 )
& sP106_prd )
| ~ sP98_prd ) ),
inference(NNF_transformation,[status(thm)],[f1407]) ).
fof(f1409,plain,
( sP106_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1408]) ).
fof(f1422,definition,
( sP108_prd
<=> ( ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP108_prd])],[]) ).
fof(f1423,plain,
( sP100_prd
<=> ( ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& sP108_prd ) ),
inference(formula_renaming,[status(thm)],[f1358,f1422]) ).
fof(f1424,plain,
( ( ( ( e20 = unit2
| op2(e23,e20) != e21 )
& op2(e23,e21) = e20 )
| ~ sP108_prd
| sP100_prd )
& ( ( ( ( e20 != unit2
& op2(e23,e20) = e21 )
| op2(e23,e21) != e20 )
& sP108_prd )
| ~ sP100_prd ) ),
inference(NNF_transformation,[status(thm)],[f1423]) ).
fof(f1425,plain,
( sP108_prd
| ~ sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1424]) ).
fof(f1430,definition,
( sP109_prd
<=> ( ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP109_prd])],[]) ).
fof(f1431,plain,
( sP101_prd
<=> ( ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& sP109_prd ) ),
inference(formula_renaming,[status(thm)],[f1366,f1430]) ).
fof(f1432,plain,
( ( ( ( e21 = unit2
| op2(e23,e21) != e20 )
& op2(e23,e20) = e21 )
| ~ sP109_prd
| sP101_prd )
& ( ( ( ( e21 != unit2
& op2(e23,e21) = e20 )
| op2(e23,e20) != e21 )
& sP109_prd )
| ~ sP101_prd ) ),
inference(NNF_transformation,[status(thm)],[f1431]) ).
fof(f1433,plain,
( sP109_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1432]) ).
fof(f1438,definition,
( sP110_prd
<=> ( ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP110_prd])],[]) ).
fof(f1439,plain,
( sP102_prd
<=> ( ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& sP110_prd ) ),
inference(formula_renaming,[status(thm)],[f1374,f1438]) ).
fof(f1440,plain,
( ( ( ( e22 = unit2
| op2(e22,e22) != e24 )
& op2(e22,e24) = e22 )
| ~ sP110_prd
| sP102_prd )
& ( ( ( ( e22 != unit2
& op2(e22,e22) = e24 )
| op2(e22,e24) != e22 )
& sP110_prd )
| ~ sP102_prd ) ),
inference(NNF_transformation,[status(thm)],[f1439]) ).
fof(f1441,plain,
( sP110_prd
| ~ sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1440]) ).
fof(f1446,definition,
( sP111_prd
<=> ( ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP111_prd])],[]) ).
fof(f1447,plain,
( sP103_prd
<=> ( ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& sP111_prd ) ),
inference(formula_renaming,[status(thm)],[f1382,f1446]) ).
fof(f1448,plain,
( ( ( ( e23 = unit2
| op2(e22,e23) != e23 )
& op2(e22,e23) = e23 )
| ~ sP111_prd
| sP103_prd )
& ( ( ( ( e23 != unit2
& op2(e22,e23) = e23 )
| op2(e22,e23) != e23 )
& sP111_prd )
| ~ sP103_prd ) ),
inference(NNF_transformation,[status(thm)],[f1447]) ).
fof(f1449,plain,
( sP111_prd
| ~ sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1448]) ).
fof(f1462,definition,
( sP113_prd
<=> ( ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP113_prd])],[]) ).
fof(f1463,plain,
( sP105_prd
<=> ( ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& sP113_prd ) ),
inference(formula_renaming,[status(thm)],[f1398,f1462]) ).
fof(f1464,plain,
( ( ( ( e11 = unit1
| op1(e12,e11) != e14 )
& op1(e12,e14) = e11 )
| ~ sP113_prd
| sP105_prd )
& ( ( ( ( e11 != unit1
& op1(e12,e11) = e14 )
| op1(e12,e14) != e11 )
& sP113_prd )
| ~ sP105_prd ) ),
inference(NNF_transformation,[status(thm)],[f1463]) ).
fof(f1465,plain,
( sP113_prd
| ~ sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1464]) ).
fof(f1470,definition,
( sP114_prd
<=> ( ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP114_prd])],[]) ).
fof(f1471,plain,
( sP106_prd
<=> ( ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& sP114_prd ) ),
inference(formula_renaming,[status(thm)],[f1406,f1470]) ).
fof(f1472,plain,
( ( ( ( e12 = unit1
| op1(e12,e12) != e13 )
& op1(e12,e13) = e12 )
| ~ sP114_prd
| sP106_prd )
& ( ( ( ( e12 != unit1
& op1(e12,e12) = e13 )
| op1(e12,e13) != e12 )
& sP114_prd )
| ~ sP106_prd ) ),
inference(NNF_transformation,[status(thm)],[f1471]) ).
fof(f1473,plain,
( sP114_prd
| ~ sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1472]) ).
fof(f1486,definition,
( sP116_prd
<=> ( ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP116_prd])],[]) ).
fof(f1487,plain,
( sP108_prd
<=> ( ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& sP116_prd ) ),
inference(formula_renaming,[status(thm)],[f1422,f1486]) ).
fof(f1488,plain,
( ( ( ( e20 = unit2
| op2(e23,e20) != e20 )
& op2(e23,e20) = e20 )
| ~ sP116_prd
| sP108_prd )
& ( ( ( ( e20 != unit2
& op2(e23,e20) = e20 )
| op2(e23,e20) != e20 )
& sP116_prd )
| ~ sP108_prd ) ),
inference(NNF_transformation,[status(thm)],[f1487]) ).
fof(f1489,plain,
( sP116_prd
| ~ sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1488]) ).
fof(f1494,definition,
( sP117_prd
<=> ( ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP117_prd])],[]) ).
fof(f1495,plain,
( sP109_prd
<=> ( ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& sP117_prd ) ),
inference(formula_renaming,[status(thm)],[f1430,f1494]) ).
fof(f1496,plain,
( ( ( ( e21 = unit2
| op2(e22,e21) != e24 )
& op2(e22,e24) = e21 )
| ~ sP117_prd
| sP109_prd )
& ( ( ( ( e21 != unit2
& op2(e22,e21) = e24 )
| op2(e22,e24) != e21 )
& sP117_prd )
| ~ sP109_prd ) ),
inference(NNF_transformation,[status(thm)],[f1495]) ).
fof(f1497,plain,
( sP117_prd
| ~ sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1496]) ).
fof(f1498,plain,
( op2(e22,e21) = e24
| op2(e22,e24) != e21
| ~ sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1496]) ).
fof(f1502,definition,
( sP118_prd
<=> ( ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP118_prd])],[]) ).
fof(f1503,plain,
( sP110_prd
<=> ( ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& sP118_prd ) ),
inference(formula_renaming,[status(thm)],[f1438,f1502]) ).
fof(f1504,plain,
( ( ( ( e22 = unit2
| op2(e22,e22) != e23 )
& op2(e22,e23) = e22 )
| ~ sP118_prd
| sP110_prd )
& ( ( ( ( e22 != unit2
& op2(e22,e22) = e23 )
| op2(e22,e23) != e22 )
& sP118_prd )
| ~ sP110_prd ) ),
inference(NNF_transformation,[status(thm)],[f1503]) ).
fof(f1505,plain,
( sP118_prd
| ~ sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1504]) ).
fof(f1510,definition,
( sP119_prd
<=> ( ( ( e23 != unit2
& op2(e22,e23) = e21 )
| op2(e22,e21) != e23 )
& ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP119_prd])],[]) ).
fof(f1511,plain,
( sP111_prd
<=> ( ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& sP119_prd ) ),
inference(formula_renaming,[status(thm)],[f1446,f1510]) ).
fof(f1512,plain,
( ( ( ( e23 = unit2
| op2(e22,e23) != e22 )
& op2(e22,e22) = e23 )
| ~ sP119_prd
| sP111_prd )
& ( ( ( ( e23 != unit2
& op2(e22,e23) = e22 )
| op2(e22,e22) != e23 )
& sP119_prd )
| ~ sP111_prd ) ),
inference(NNF_transformation,[status(thm)],[f1511]) ).
fof(f1514,plain,
( op2(e22,e23) = e22
| op2(e22,e22) != e23
| ~ sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1512]) ).
fof(f1526,definition,
( sP121_prd
<=> ( ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP121_prd])],[]) ).
fof(f1527,plain,
( sP113_prd
<=> ( ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& sP121_prd ) ),
inference(formula_renaming,[status(thm)],[f1462,f1526]) ).
fof(f1528,plain,
( ( ( ( e11 = unit1
| op1(e12,e11) != e13 )
& op1(e12,e13) = e11 )
| ~ sP121_prd
| sP113_prd )
& ( ( ( ( e11 != unit1
& op1(e12,e11) = e13 )
| op1(e12,e13) != e11 )
& sP121_prd )
| ~ sP113_prd ) ),
inference(NNF_transformation,[status(thm)],[f1527]) ).
fof(f1529,plain,
( sP121_prd
| ~ sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1528]) ).
fof(f1530,plain,
( op1(e12,e11) = e13
| op1(e12,e13) != e11
| ~ sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1528]) ).
fof(f1534,definition,
( sP122_prd
<=> ( ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP122_prd])],[]) ).
fof(f1535,plain,
( sP114_prd
<=> ( ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& sP122_prd ) ),
inference(formula_renaming,[status(thm)],[f1470,f1534]) ).
fof(f1536,plain,
( ( ( ( e12 = unit1
| op1(e12,e12) != e12 )
& op1(e12,e12) = e12 )
| ~ sP122_prd
| sP114_prd )
& ( ( ( ( e12 != unit1
& op1(e12,e12) = e12 )
| op1(e12,e12) != e12 )
& sP122_prd )
| ~ sP114_prd ) ),
inference(NNF_transformation,[status(thm)],[f1535]) ).
fof(f1537,plain,
( sP122_prd
| ~ sP114_prd ),
inference(cnf_transformation,[status(thm)],[f1536]) ).
fof(f1550,definition,
( sP124_prd
<=> ( ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP124_prd])],[]) ).
fof(f1551,plain,
( sP116_prd
<=> ( ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& sP124_prd ) ),
inference(formula_renaming,[status(thm)],[f1486,f1550]) ).
fof(f1552,plain,
( ( ( ( e20 = unit2
| op2(e22,e20) != e24 )
& op2(e22,e24) = e20 )
| ~ sP124_prd
| sP116_prd )
& ( ( ( ( e20 != unit2
& op2(e22,e20) = e24 )
| op2(e22,e24) != e20 )
& sP124_prd )
| ~ sP116_prd ) ),
inference(NNF_transformation,[status(thm)],[f1551]) ).
fof(f1553,plain,
( sP124_prd
| ~ sP116_prd ),
inference(cnf_transformation,[status(thm)],[f1552]) ).
fof(f1558,definition,
( sP125_prd
<=> ( ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP125_prd])],[]) ).
fof(f1559,plain,
( sP117_prd
<=> ( ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& sP125_prd ) ),
inference(formula_renaming,[status(thm)],[f1494,f1558]) ).
fof(f1560,plain,
( ( ( ( e21 = unit2
| op2(e22,e21) != e23 )
& op2(e22,e23) = e21 )
| ~ sP125_prd
| sP117_prd )
& ( ( ( ( e21 != unit2
& op2(e22,e21) = e23 )
| op2(e22,e23) != e21 )
& sP125_prd )
| ~ sP117_prd ) ),
inference(NNF_transformation,[status(thm)],[f1559]) ).
fof(f1561,plain,
( sP125_prd
| ~ sP117_prd ),
inference(cnf_transformation,[status(thm)],[f1560]) ).
fof(f1562,plain,
( op2(e22,e21) = e23
| op2(e22,e23) != e21
| ~ sP117_prd ),
inference(cnf_transformation,[status(thm)],[f1560]) ).
fof(f1566,definition,
( sP126_prd
<=> ( ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP126_prd])],[]) ).
fof(f1567,plain,
( sP118_prd
<=> ( ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& sP126_prd ) ),
inference(formula_renaming,[status(thm)],[f1502,f1566]) ).
fof(f1568,plain,
( ( ( ( e22 = unit2
| op2(e22,e22) != e22 )
& op2(e22,e22) = e22 )
| ~ sP126_prd
| sP118_prd )
& ( ( ( ( e22 != unit2
& op2(e22,e22) = e22 )
| op2(e22,e22) != e22 )
& sP126_prd )
| ~ sP118_prd ) ),
inference(NNF_transformation,[status(thm)],[f1567]) ).
fof(f1569,plain,
( sP126_prd
| ~ sP118_prd ),
inference(cnf_transformation,[status(thm)],[f1568]) ).
fof(f1574,definition,
( sP127_prd
<=> ( ( ( e23 != unit2
& op2(e22,e23) = e20 )
| op2(e22,e20) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP127_prd])],[]) ).
fof(f1590,definition,
( sP129_prd
<=> ( ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP129_prd])],[]) ).
fof(f1591,plain,
( sP121_prd
<=> ( ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& sP129_prd ) ),
inference(formula_renaming,[status(thm)],[f1526,f1590]) ).
fof(f1592,plain,
( ( ( ( e11 = unit1
| op1(e12,e11) != e12 )
& op1(e12,e12) = e11 )
| ~ sP129_prd
| sP121_prd )
& ( ( ( ( e11 != unit1
& op1(e12,e11) = e12 )
| op1(e12,e12) != e11 )
& sP129_prd )
| ~ sP121_prd ) ),
inference(NNF_transformation,[status(thm)],[f1591]) ).
fof(f1593,plain,
( sP129_prd
| ~ sP121_prd ),
inference(cnf_transformation,[status(thm)],[f1592]) ).
fof(f1598,definition,
( sP130_prd
<=> ( ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP130_prd])],[]) ).
fof(f1599,plain,
( sP122_prd
<=> ( ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& sP130_prd ) ),
inference(formula_renaming,[status(thm)],[f1534,f1598]) ).
fof(f1600,plain,
( ( ( ( e12 = unit1
| op1(e12,e12) != e11 )
& op1(e12,e11) = e12 )
| ~ sP130_prd
| sP122_prd )
& ( ( ( ( e12 != unit1
& op1(e12,e12) = e11 )
| op1(e12,e11) != e12 )
& sP130_prd )
| ~ sP122_prd ) ),
inference(NNF_transformation,[status(thm)],[f1599]) ).
fof(f1601,plain,
( sP130_prd
| ~ sP122_prd ),
inference(cnf_transformation,[status(thm)],[f1600]) ).
fof(f1614,definition,
( sP132_prd
<=> ( ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP132_prd])],[]) ).
fof(f1615,plain,
( sP124_prd
<=> ( ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& sP132_prd ) ),
inference(formula_renaming,[status(thm)],[f1550,f1614]) ).
fof(f1616,plain,
( ( ( ( e20 = unit2
| op2(e22,e20) != e23 )
& op2(e22,e23) = e20 )
| ~ sP132_prd
| sP124_prd )
& ( ( ( ( e20 != unit2
& op2(e22,e20) = e23 )
| op2(e22,e23) != e20 )
& sP132_prd )
| ~ sP124_prd ) ),
inference(NNF_transformation,[status(thm)],[f1615]) ).
fof(f1617,plain,
( sP132_prd
| ~ sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1616]) ).
fof(f1622,definition,
( sP133_prd
<=> ( ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP133_prd])],[]) ).
fof(f1623,plain,
( sP125_prd
<=> ( ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& sP133_prd ) ),
inference(formula_renaming,[status(thm)],[f1558,f1622]) ).
fof(f1624,plain,
( ( ( ( e21 = unit2
| op2(e22,e21) != e22 )
& op2(e22,e22) = e21 )
| ~ sP133_prd
| sP125_prd )
& ( ( ( ( e21 != unit2
& op2(e22,e21) = e22 )
| op2(e22,e22) != e21 )
& sP133_prd )
| ~ sP125_prd ) ),
inference(NNF_transformation,[status(thm)],[f1623]) ).
fof(f1625,plain,
( sP133_prd
| ~ sP125_prd ),
inference(cnf_transformation,[status(thm)],[f1624]) ).
fof(f1630,definition,
( sP134_prd
<=> ( ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP134_prd])],[]) ).
fof(f1631,plain,
( sP126_prd
<=> ( ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& sP134_prd ) ),
inference(formula_renaming,[status(thm)],[f1566,f1630]) ).
fof(f1632,plain,
( ( ( ( e22 = unit2
| op2(e22,e22) != e21 )
& op2(e22,e21) = e22 )
| ~ sP134_prd
| sP126_prd )
& ( ( ( ( e22 != unit2
& op2(e22,e22) = e21 )
| op2(e22,e21) != e22 )
& sP134_prd )
| ~ sP126_prd ) ),
inference(NNF_transformation,[status(thm)],[f1631]) ).
fof(f1633,plain,
( sP134_prd
| ~ sP126_prd ),
inference(cnf_transformation,[status(thm)],[f1632]) ).
fof(f1638,definition,
( sP135_prd
<=> ( ( ( e23 != unit2
& op2(e21,e23) = e24 )
| op2(e21,e24) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP135_prd])],[]) ).
fof(f1654,definition,
( sP137_prd
<=> ( ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP137_prd])],[]) ).
fof(f1655,plain,
( sP129_prd
<=> ( ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& sP137_prd ) ),
inference(formula_renaming,[status(thm)],[f1590,f1654]) ).
fof(f1656,plain,
( ( ( ( e11 = unit1
| op1(e12,e11) != e11 )
& op1(e12,e11) = e11 )
| ~ sP137_prd
| sP129_prd )
& ( ( ( ( e11 != unit1
& op1(e12,e11) = e11 )
| op1(e12,e11) != e11 )
& sP137_prd )
| ~ sP129_prd ) ),
inference(NNF_transformation,[status(thm)],[f1655]) ).
fof(f1657,plain,
( sP137_prd
| ~ sP129_prd ),
inference(cnf_transformation,[status(thm)],[f1656]) ).
fof(f1662,definition,
( sP138_prd
<=> ( ( ( e12 != unit1
& op1(e11,e12) = e14 )
| op1(e11,e14) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e13 )
| op1(e11,e13) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e12 )
| op1(e11,e12) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e11 )
| op1(e11,e11) != e12 )
& ( ( e12 != unit1
& op1(e11,e12) = e10 )
| op1(e11,e10) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e14 )
| op1(e10,e14) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e13 )
| op1(e10,e13) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e12 )
| op1(e10,e12) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e11 )
| op1(e10,e11) != e12 )
& ( ( e12 != unit1
& op1(e10,e12) = e10 )
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP138_prd])],[]) ).
fof(f1663,plain,
( sP130_prd
<=> ( ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& sP138_prd ) ),
inference(formula_renaming,[status(thm)],[f1598,f1662]) ).
fof(f1664,plain,
( ( ( ( e12 = unit1
| op1(e12,e12) != e10 )
& op1(e12,e10) = e12 )
| ~ sP138_prd
| sP130_prd )
& ( ( ( ( e12 != unit1
& op1(e12,e12) = e10 )
| op1(e12,e10) != e12 )
& sP138_prd )
| ~ sP130_prd ) ),
inference(NNF_transformation,[status(thm)],[f1663]) ).
fof(f1666,plain,
( op1(e12,e12) = e10
| op1(e12,e10) != e12
| ~ sP130_prd ),
inference(cnf_transformation,[status(thm)],[f1664]) ).
fof(f1678,definition,
( sP140_prd
<=> ( ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP140_prd])],[]) ).
fof(f1679,plain,
( sP132_prd
<=> ( ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& sP140_prd ) ),
inference(formula_renaming,[status(thm)],[f1614,f1678]) ).
fof(f1680,plain,
( ( ( ( e20 = unit2
| op2(e22,e20) != e22 )
& op2(e22,e22) = e20 )
| ~ sP140_prd
| sP132_prd )
& ( ( ( ( e20 != unit2
& op2(e22,e20) = e22 )
| op2(e22,e22) != e20 )
& sP140_prd )
| ~ sP132_prd ) ),
inference(NNF_transformation,[status(thm)],[f1679]) ).
fof(f1681,plain,
( sP140_prd
| ~ sP132_prd ),
inference(cnf_transformation,[status(thm)],[f1680]) ).
fof(f1686,definition,
( sP141_prd
<=> ( ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP141_prd])],[]) ).
fof(f1687,plain,
( sP133_prd
<=> ( ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& sP141_prd ) ),
inference(formula_renaming,[status(thm)],[f1622,f1686]) ).
fof(f1688,plain,
( ( ( ( e21 = unit2
| op2(e22,e21) != e21 )
& op2(e22,e21) = e21 )
| ~ sP141_prd
| sP133_prd )
& ( ( ( ( e21 != unit2
& op2(e22,e21) = e21 )
| op2(e22,e21) != e21 )
& sP141_prd )
| ~ sP133_prd ) ),
inference(NNF_transformation,[status(thm)],[f1687]) ).
fof(f1689,plain,
( sP141_prd
| ~ sP133_prd ),
inference(cnf_transformation,[status(thm)],[f1688]) ).
fof(f1694,definition,
( sP142_prd
<=> ( ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP142_prd])],[]) ).
fof(f1695,plain,
( sP134_prd
<=> ( ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& sP142_prd ) ),
inference(formula_renaming,[status(thm)],[f1630,f1694]) ).
fof(f1696,plain,
( ( ( ( e22 = unit2
| op2(e22,e22) != e20 )
& op2(e22,e20) = e22 )
| ~ sP142_prd
| sP134_prd )
& ( ( ( ( e22 != unit2
& op2(e22,e22) = e20 )
| op2(e22,e20) != e22 )
& sP142_prd )
| ~ sP134_prd ) ),
inference(NNF_transformation,[status(thm)],[f1695]) ).
fof(f1698,plain,
( op2(e22,e22) = e20
| op2(e22,e20) != e22
| ~ sP134_prd ),
inference(cnf_transformation,[status(thm)],[f1696]) ).
fof(f1702,definition,
( sP143_prd
<=> ( ( ( e23 != unit2
& op2(e21,e23) = e23 )
| op2(e21,e23) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP143_prd])],[]) ).
fof(f1718,definition,
( sP145_prd
<=> ( ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP145_prd])],[]) ).
fof(f1719,plain,
( sP137_prd
<=> ( ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& sP145_prd ) ),
inference(formula_renaming,[status(thm)],[f1654,f1718]) ).
fof(f1720,plain,
( ( ( ( e11 = unit1
| op1(e12,e11) != e10 )
& op1(e12,e10) = e11 )
| ~ sP145_prd
| sP137_prd )
& ( ( ( ( e11 != unit1
& op1(e12,e11) = e10 )
| op1(e12,e10) != e11 )
& sP145_prd )
| ~ sP137_prd ) ),
inference(NNF_transformation,[status(thm)],[f1719]) ).
fof(f1721,plain,
( sP145_prd
| ~ sP137_prd ),
inference(cnf_transformation,[status(thm)],[f1720]) ).
fof(f1742,definition,
( sP148_prd
<=> ( ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP148_prd])],[]) ).
fof(f1743,plain,
( sP140_prd
<=> ( ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& sP148_prd ) ),
inference(formula_renaming,[status(thm)],[f1678,f1742]) ).
fof(f1744,plain,
( ( ( ( e20 = unit2
| op2(e22,e20) != e21 )
& op2(e22,e21) = e20 )
| ~ sP148_prd
| sP140_prd )
& ( ( ( ( e20 != unit2
& op2(e22,e20) = e21 )
| op2(e22,e21) != e20 )
& sP148_prd )
| ~ sP140_prd ) ),
inference(NNF_transformation,[status(thm)],[f1743]) ).
fof(f1745,plain,
( sP148_prd
| ~ sP140_prd ),
inference(cnf_transformation,[status(thm)],[f1744]) ).
fof(f1750,definition,
( sP149_prd
<=> ( ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP149_prd])],[]) ).
fof(f1751,plain,
( sP141_prd
<=> ( ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& sP149_prd ) ),
inference(formula_renaming,[status(thm)],[f1686,f1750]) ).
fof(f1752,plain,
( ( ( ( e21 = unit2
| op2(e22,e21) != e20 )
& op2(e22,e20) = e21 )
| ~ sP149_prd
| sP141_prd )
& ( ( ( ( e21 != unit2
& op2(e22,e21) = e20 )
| op2(e22,e20) != e21 )
& sP149_prd )
| ~ sP141_prd ) ),
inference(NNF_transformation,[status(thm)],[f1751]) ).
fof(f1753,plain,
( sP149_prd
| ~ sP141_prd ),
inference(cnf_transformation,[status(thm)],[f1752]) ).
fof(f1758,definition,
( sP150_prd
<=> ( ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP150_prd])],[]) ).
fof(f1759,plain,
( sP142_prd
<=> ( ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& sP150_prd ) ),
inference(formula_renaming,[status(thm)],[f1694,f1758]) ).
fof(f1760,plain,
( ( ( ( e22 = unit2
| op2(e21,e22) != e24 )
& op2(e21,e24) = e22 )
| ~ sP150_prd
| sP142_prd )
& ( ( ( ( e22 != unit2
& op2(e21,e22) = e24 )
| op2(e21,e24) != e22 )
& sP150_prd )
| ~ sP142_prd ) ),
inference(NNF_transformation,[status(thm)],[f1759]) ).
fof(f1761,plain,
( sP150_prd
| ~ sP142_prd ),
inference(cnf_transformation,[status(thm)],[f1760]) ).
fof(f1766,definition,
( sP151_prd
<=> ( ( ( e23 != unit2
& op2(e21,e23) = e22 )
| op2(e21,e22) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP151_prd])],[]) ).
fof(f1782,definition,
( sP153_prd
<=> ( ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP153_prd])],[]) ).
fof(f1783,plain,
( sP145_prd
<=> ( ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& sP153_prd ) ),
inference(formula_renaming,[status(thm)],[f1718,f1782]) ).
fof(f1784,plain,
( ( ( ( e11 = unit1
| op1(e11,e11) != e14 )
& op1(e11,e14) = e11 )
| ~ sP153_prd
| sP145_prd )
& ( ( ( ( e11 != unit1
& op1(e11,e11) = e14 )
| op1(e11,e14) != e11 )
& sP153_prd )
| ~ sP145_prd ) ),
inference(NNF_transformation,[status(thm)],[f1783]) ).
fof(f1785,plain,
( sP153_prd
| ~ sP145_prd ),
inference(cnf_transformation,[status(thm)],[f1784]) ).
fof(f1786,plain,
( op1(e11,e11) = e14
| op1(e11,e14) != e11
| ~ sP145_prd ),
inference(cnf_transformation,[status(thm)],[f1784]) ).
fof(f1806,definition,
( sP156_prd
<=> ( ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP156_prd])],[]) ).
fof(f1807,plain,
( sP148_prd
<=> ( ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& sP156_prd ) ),
inference(formula_renaming,[status(thm)],[f1742,f1806]) ).
fof(f1808,plain,
( ( ( ( e20 = unit2
| op2(e22,e20) != e20 )
& op2(e22,e20) = e20 )
| ~ sP156_prd
| sP148_prd )
& ( ( ( ( e20 != unit2
& op2(e22,e20) = e20 )
| op2(e22,e20) != e20 )
& sP156_prd )
| ~ sP148_prd ) ),
inference(NNF_transformation,[status(thm)],[f1807]) ).
fof(f1809,plain,
( sP156_prd
| ~ sP148_prd ),
inference(cnf_transformation,[status(thm)],[f1808]) ).
fof(f1814,definition,
( sP157_prd
<=> ( ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP157_prd])],[]) ).
fof(f1815,plain,
( sP149_prd
<=> ( ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& sP157_prd ) ),
inference(formula_renaming,[status(thm)],[f1750,f1814]) ).
fof(f1816,plain,
( ( ( ( e21 = unit2
| op2(e21,e21) != e24 )
& op2(e21,e24) = e21 )
| ~ sP157_prd
| sP149_prd )
& ( ( ( ( e21 != unit2
& op2(e21,e21) = e24 )
| op2(e21,e24) != e21 )
& sP157_prd )
| ~ sP149_prd ) ),
inference(NNF_transformation,[status(thm)],[f1815]) ).
fof(f1817,plain,
( sP157_prd
| ~ sP149_prd ),
inference(cnf_transformation,[status(thm)],[f1816]) ).
fof(f1818,plain,
( op2(e21,e21) = e24
| op2(e21,e24) != e21
| ~ sP149_prd ),
inference(cnf_transformation,[status(thm)],[f1816]) ).
fof(f1822,definition,
( sP158_prd
<=> ( ( ( e22 != unit2
& op2(e21,e22) = e22 )
| op2(e21,e22) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP158_prd])],[]) ).
fof(f1823,plain,
( sP150_prd
<=> ( ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& sP158_prd ) ),
inference(formula_renaming,[status(thm)],[f1758,f1822]) ).
fof(f1824,plain,
( ( ( ( e22 = unit2
| op2(e21,e22) != e23 )
& op2(e21,e23) = e22 )
| ~ sP158_prd
| sP150_prd )
& ( ( ( ( e22 != unit2
& op2(e21,e22) = e23 )
| op2(e21,e23) != e22 )
& sP158_prd )
| ~ sP150_prd ) ),
inference(NNF_transformation,[status(thm)],[f1823]) ).
fof(f1826,plain,
( op2(e21,e22) = e23
| op2(e21,e23) != e22
| ~ sP150_prd ),
inference(cnf_transformation,[status(thm)],[f1824]) ).
fof(f1830,definition,
( sP159_prd
<=> ( ( ( e23 != unit2
& op2(e21,e23) = e21 )
| op2(e21,e21) != e23 )
& ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP159_prd])],[]) ).
fof(f1846,definition,
( sP161_prd
<=> ( ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP161_prd])],[]) ).
fof(f1847,plain,
( sP153_prd
<=> ( ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& sP161_prd ) ),
inference(formula_renaming,[status(thm)],[f1782,f1846]) ).
fof(f1848,plain,
( ( ( ( e11 = unit1
| op1(e11,e11) != e13 )
& op1(e11,e13) = e11 )
| ~ sP161_prd
| sP153_prd )
& ( ( ( ( e11 != unit1
& op1(e11,e11) = e13 )
| op1(e11,e13) != e11 )
& sP161_prd )
| ~ sP153_prd ) ),
inference(NNF_transformation,[status(thm)],[f1847]) ).
fof(f1849,plain,
( sP161_prd
| ~ sP153_prd ),
inference(cnf_transformation,[status(thm)],[f1848]) ).
fof(f1850,plain,
( op1(e11,e11) = e13
| op1(e11,e13) != e11
| ~ sP153_prd ),
inference(cnf_transformation,[status(thm)],[f1848]) ).
fof(f1870,definition,
( sP164_prd
<=> ( ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP164_prd])],[]) ).
fof(f1871,plain,
( sP156_prd
<=> ( ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& sP164_prd ) ),
inference(formula_renaming,[status(thm)],[f1806,f1870]) ).
fof(f1872,plain,
( ( ( ( e20 = unit2
| op2(e21,e20) != e24 )
& op2(e21,e24) = e20 )
| ~ sP164_prd
| sP156_prd )
& ( ( ( ( e20 != unit2
& op2(e21,e20) = e24 )
| op2(e21,e24) != e20 )
& sP164_prd )
| ~ sP156_prd ) ),
inference(NNF_transformation,[status(thm)],[f1871]) ).
fof(f1873,plain,
( sP164_prd
| ~ sP156_prd ),
inference(cnf_transformation,[status(thm)],[f1872]) ).
fof(f1878,definition,
( sP165_prd
<=> ( ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP165_prd])],[]) ).
fof(f1879,plain,
( sP157_prd
<=> ( ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& sP165_prd ) ),
inference(formula_renaming,[status(thm)],[f1814,f1878]) ).
fof(f1880,plain,
( ( ( ( e21 = unit2
| op2(e21,e21) != e23 )
& op2(e21,e23) = e21 )
| ~ sP165_prd
| sP157_prd )
& ( ( ( ( e21 != unit2
& op2(e21,e21) = e23 )
| op2(e21,e23) != e21 )
& sP165_prd )
| ~ sP157_prd ) ),
inference(NNF_transformation,[status(thm)],[f1879]) ).
fof(f1881,plain,
( sP165_prd
| ~ sP157_prd ),
inference(cnf_transformation,[status(thm)],[f1880]) ).
fof(f1882,plain,
( op2(e21,e21) = e23
| op2(e21,e23) != e21
| ~ sP157_prd ),
inference(cnf_transformation,[status(thm)],[f1880]) ).
fof(f1886,definition,
( sP166_prd
<=> ( ( ( e22 != unit2
& op2(e21,e22) = e21 )
| op2(e21,e21) != e22 )
& ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP166_prd])],[]) ).
fof(f1894,definition,
( sP167_prd
<=> ( ( ( e23 != unit2
& op2(e21,e23) = e20 )
| op2(e21,e20) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP167_prd])],[]) ).
fof(f1910,definition,
( sP169_prd
<=> ( ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP169_prd])],[]) ).
fof(f1911,plain,
( sP161_prd
<=> ( ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& sP169_prd ) ),
inference(formula_renaming,[status(thm)],[f1846,f1910]) ).
fof(f1912,plain,
( ( ( ( e11 = unit1
| op1(e11,e11) != e12 )
& op1(e11,e12) = e11 )
| ~ sP169_prd
| sP161_prd )
& ( ( ( ( e11 != unit1
& op1(e11,e11) = e12 )
| op1(e11,e12) != e11 )
& sP169_prd )
| ~ sP161_prd ) ),
inference(NNF_transformation,[status(thm)],[f1911]) ).
fof(f1913,plain,
( sP169_prd
| ~ sP161_prd ),
inference(cnf_transformation,[status(thm)],[f1912]) ).
fof(f1934,definition,
( sP172_prd
<=> ( ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP172_prd])],[]) ).
fof(f1935,plain,
( sP164_prd
<=> ( ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& sP172_prd ) ),
inference(formula_renaming,[status(thm)],[f1870,f1934]) ).
fof(f1936,plain,
( ( ( ( e20 = unit2
| op2(e21,e20) != e23 )
& op2(e21,e23) = e20 )
| ~ sP172_prd
| sP164_prd )
& ( ( ( ( e20 != unit2
& op2(e21,e20) = e23 )
| op2(e21,e23) != e20 )
& sP172_prd )
| ~ sP164_prd ) ),
inference(NNF_transformation,[status(thm)],[f1935]) ).
fof(f1937,plain,
( sP172_prd
| ~ sP164_prd ),
inference(cnf_transformation,[status(thm)],[f1936]) ).
fof(f1942,definition,
( sP173_prd
<=> ( ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP173_prd])],[]) ).
fof(f1943,plain,
( sP165_prd
<=> ( ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& sP173_prd ) ),
inference(formula_renaming,[status(thm)],[f1878,f1942]) ).
fof(f1944,plain,
( ( ( ( e21 = unit2
| op2(e21,e21) != e22 )
& op2(e21,e22) = e21 )
| ~ sP173_prd
| sP165_prd )
& ( ( ( ( e21 != unit2
& op2(e21,e21) = e22 )
| op2(e21,e22) != e21 )
& sP173_prd )
| ~ sP165_prd ) ),
inference(NNF_transformation,[status(thm)],[f1943]) ).
fof(f1945,plain,
( sP173_prd
| ~ sP165_prd ),
inference(cnf_transformation,[status(thm)],[f1944]) ).
fof(f1950,definition,
( sP174_prd
<=> ( ( ( e22 != unit2
& op2(e21,e22) = e20 )
| op2(e21,e20) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP174_prd])],[]) ).
fof(f1958,definition,
( sP175_prd
<=> ( ( ( e23 != unit2
& op2(e20,e23) = e24 )
| op2(e20,e24) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP175_prd])],[]) ).
fof(f1974,definition,
( sP177_prd
<=> ( ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP177_prd])],[]) ).
fof(f1975,plain,
( sP169_prd
<=> ( ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& sP177_prd ) ),
inference(formula_renaming,[status(thm)],[f1910,f1974]) ).
fof(f1976,plain,
( ( ( ( e11 = unit1
| op1(e11,e11) != e11 )
& op1(e11,e11) = e11 )
| ~ sP177_prd
| sP169_prd )
& ( ( ( ( e11 != unit1
& op1(e11,e11) = e11 )
| op1(e11,e11) != e11 )
& sP177_prd )
| ~ sP169_prd ) ),
inference(NNF_transformation,[status(thm)],[f1975]) ).
fof(f1977,plain,
( sP177_prd
| ~ sP169_prd ),
inference(cnf_transformation,[status(thm)],[f1976]) ).
fof(f1998,definition,
( sP180_prd
<=> ( ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP180_prd])],[]) ).
fof(f1999,plain,
( sP172_prd
<=> ( ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& sP180_prd ) ),
inference(formula_renaming,[status(thm)],[f1934,f1998]) ).
fof(f2000,plain,
( ( ( ( e20 = unit2
| op2(e21,e20) != e22 )
& op2(e21,e22) = e20 )
| ~ sP180_prd
| sP172_prd )
& ( ( ( ( e20 != unit2
& op2(e21,e20) = e22 )
| op2(e21,e22) != e20 )
& sP180_prd )
| ~ sP172_prd ) ),
inference(NNF_transformation,[status(thm)],[f1999]) ).
fof(f2001,plain,
( sP180_prd
| ~ sP172_prd ),
inference(cnf_transformation,[status(thm)],[f2000]) ).
fof(f2006,definition,
( sP181_prd
<=> ( ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP181_prd])],[]) ).
fof(f2007,plain,
( sP173_prd
<=> ( ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& sP181_prd ) ),
inference(formula_renaming,[status(thm)],[f1942,f2006]) ).
fof(f2008,plain,
( ( ( ( e21 = unit2
| op2(e21,e21) != e21 )
& op2(e21,e21) = e21 )
| ~ sP181_prd
| sP173_prd )
& ( ( ( ( e21 != unit2
& op2(e21,e21) = e21 )
| op2(e21,e21) != e21 )
& sP181_prd )
| ~ sP173_prd ) ),
inference(NNF_transformation,[status(thm)],[f2007]) ).
fof(f2009,plain,
( sP181_prd
| ~ sP173_prd ),
inference(cnf_transformation,[status(thm)],[f2008]) ).
fof(f2014,definition,
( sP182_prd
<=> ( ( ( e22 != unit2
& op2(e20,e22) = e24 )
| op2(e20,e24) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP182_prd])],[]) ).
fof(f2022,definition,
( sP183_prd
<=> ( ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP183_prd])],[]) ).
fof(f2038,definition,
( sP185_prd
<=> ( ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP185_prd])],[]) ).
fof(f2039,plain,
( sP177_prd
<=> ( ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& sP185_prd ) ),
inference(formula_renaming,[status(thm)],[f1974,f2038]) ).
fof(f2040,plain,
( ( ( ( e11 = unit1
| op1(e11,e11) != e10 )
& op1(e11,e10) = e11 )
| ~ sP185_prd
| sP177_prd )
& ( ( ( ( e11 != unit1
& op1(e11,e11) = e10 )
| op1(e11,e10) != e11 )
& sP185_prd )
| ~ sP177_prd ) ),
inference(NNF_transformation,[status(thm)],[f2039]) ).
fof(f2041,plain,
( sP185_prd
| ~ sP177_prd ),
inference(cnf_transformation,[status(thm)],[f2040]) ).
fof(f2062,definition,
( sP188_prd
<=> ( ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP188_prd])],[]) ).
fof(f2063,plain,
( sP180_prd
<=> ( ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& sP188_prd ) ),
inference(formula_renaming,[status(thm)],[f1998,f2062]) ).
fof(f2064,plain,
( ( ( ( e20 = unit2
| op2(e21,e20) != e21 )
& op2(e21,e21) = e20 )
| ~ sP188_prd
| sP180_prd )
& ( ( ( ( e20 != unit2
& op2(e21,e20) = e21 )
| op2(e21,e21) != e20 )
& sP188_prd )
| ~ sP180_prd ) ),
inference(NNF_transformation,[status(thm)],[f2063]) ).
fof(f2067,plain,
( e20 != unit2
| op2(e21,e21) != e20
| ~ sP180_prd ),
inference(cnf_transformation,[status(thm)],[f2064]) ).
fof(f2070,definition,
( sP189_prd
<=> ( ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP189_prd])],[]) ).
fof(f2071,plain,
( sP181_prd
<=> ( ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& sP189_prd ) ),
inference(formula_renaming,[status(thm)],[f2006,f2070]) ).
fof(f2072,plain,
( ( ( ( e21 = unit2
| op2(e21,e21) != e20 )
& op2(e21,e20) = e21 )
| ~ sP189_prd
| sP181_prd )
& ( ( ( ( e21 != unit2
& op2(e21,e21) = e20 )
| op2(e21,e20) != e21 )
& sP189_prd )
| ~ sP181_prd ) ),
inference(NNF_transformation,[status(thm)],[f2071]) ).
fof(f2073,plain,
( sP189_prd
| ~ sP181_prd ),
inference(cnf_transformation,[status(thm)],[f2072]) ).
fof(f2078,definition,
( sP190_prd
<=> ( ( ( e22 != unit2
& op2(e20,e22) = e23 )
| op2(e20,e23) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP190_prd])],[]) ).
fof(f2086,definition,
( sP191_prd
<=> ( ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP191_prd])],[]) ).
fof(f2087,plain,
( sP183_prd
<=> ( ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& sP191_prd ) ),
inference(formula_renaming,[status(thm)],[f2022,f2086]) ).
fof(f2088,plain,
( ( ( ( e23 = unit2
| op2(e20,e23) != e23 )
& op2(e20,e23) = e23 )
| ~ sP191_prd
| sP183_prd )
& ( ( ( ( e23 != unit2
& op2(e20,e23) = e23 )
| op2(e20,e23) != e23 )
& sP191_prd )
| ~ sP183_prd ) ),
inference(NNF_transformation,[status(thm)],[f2087]) ).
fof(f2093,plain,
( e23 = unit2
| op2(e20,e23) != e23
| ~ sP191_prd
| sP183_prd ),
inference(cnf_transformation,[status(thm)],[f2088]) ).
fof(f2102,definition,
( sP193_prd
<=> ( ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP193_prd])],[]) ).
fof(f2103,plain,
( sP185_prd
<=> ( ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& sP193_prd ) ),
inference(formula_renaming,[status(thm)],[f2038,f2102]) ).
fof(f2104,plain,
( ( ( ( e11 = unit1
| op1(e10,e11) != e14 )
& op1(e10,e14) = e11 )
| ~ sP193_prd
| sP185_prd )
& ( ( ( ( e11 != unit1
& op1(e10,e11) = e14 )
| op1(e10,e14) != e11 )
& sP193_prd )
| ~ sP185_prd ) ),
inference(NNF_transformation,[status(thm)],[f2103]) ).
fof(f2105,plain,
( sP193_prd
| ~ sP185_prd ),
inference(cnf_transformation,[status(thm)],[f2104]) ).
fof(f2126,definition,
( sP196_prd
<=> ( ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP196_prd])],[]) ).
fof(f2127,plain,
( sP188_prd
<=> ( ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& sP196_prd ) ),
inference(formula_renaming,[status(thm)],[f2062,f2126]) ).
fof(f2128,plain,
( ( ( ( e20 = unit2
| op2(e21,e20) != e20 )
& op2(e21,e20) = e20 )
| ~ sP196_prd
| sP188_prd )
& ( ( ( ( e20 != unit2
& op2(e21,e20) = e20 )
| op2(e21,e20) != e20 )
& sP196_prd )
| ~ sP188_prd ) ),
inference(NNF_transformation,[status(thm)],[f2127]) ).
fof(f2129,plain,
( sP196_prd
| ~ sP188_prd ),
inference(cnf_transformation,[status(thm)],[f2128]) ).
fof(f2134,definition,
( sP197_prd
<=> ( ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP197_prd])],[]) ).
fof(f2135,plain,
( sP189_prd
<=> ( ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& sP197_prd ) ),
inference(formula_renaming,[status(thm)],[f2070,f2134]) ).
fof(f2136,plain,
( ( ( ( e21 = unit2
| op2(e20,e21) != e24 )
& op2(e20,e24) = e21 )
| ~ sP197_prd
| sP189_prd )
& ( ( ( ( e21 != unit2
& op2(e20,e21) = e24 )
| op2(e20,e24) != e21 )
& sP197_prd )
| ~ sP189_prd ) ),
inference(NNF_transformation,[status(thm)],[f2135]) ).
fof(f2137,plain,
( sP197_prd
| ~ sP189_prd ),
inference(cnf_transformation,[status(thm)],[f2136]) ).
fof(f2142,definition,
( sP198_prd
<=> ( ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP198_prd])],[]) ).
fof(f2150,definition,
( sP199_prd
<=> ( ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) ) ),
introduced(definition,[new_symbols(definition,[sP199_prd])],[]) ).
fof(f2151,plain,
( sP191_prd
<=> ( ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& sP199_prd ) ),
inference(formula_renaming,[status(thm)],[f2086,f2150]) ).
fof(f2152,plain,
( ( ( ( e23 = unit2
| op2(e20,e23) != e22 )
& op2(e20,e22) = e23 )
| ~ sP199_prd
| sP191_prd )
& ( ( ( ( e23 != unit2
& op2(e20,e23) = e22 )
| op2(e20,e22) != e23 )
& sP199_prd )
| ~ sP191_prd ) ),
inference(NNF_transformation,[status(thm)],[f2151]) ).
fof(f2156,plain,
( op2(e20,e22) = e23
| ~ sP199_prd
| sP191_prd ),
inference(cnf_transformation,[status(thm)],[f2152]) ).
fof(f2166,definition,
( sP201_prd
<=> ( ( ( e11 != unit1
& op1(e10,e11) = e12 )
| op1(e10,e12) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e11 )
| op1(e10,e11) != e11 )
& ( ( e11 != unit1
& op1(e10,e11) = e10 )
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP201_prd])],[]) ).
fof(f2167,plain,
( sP193_prd
<=> ( ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& sP201_prd ) ),
inference(formula_renaming,[status(thm)],[f2102,f2166]) ).
fof(f2168,plain,
( ( ( ( e11 = unit1
| op1(e10,e11) != e13 )
& op1(e10,e13) = e11 )
| ~ sP201_prd
| sP193_prd )
& ( ( ( ( e11 != unit1
& op1(e10,e11) = e13 )
| op1(e10,e13) != e11 )
& sP201_prd )
| ~ sP193_prd ) ),
inference(NNF_transformation,[status(thm)],[f2167]) ).
fof(f2170,plain,
( op1(e10,e11) = e13
| op1(e10,e13) != e11
| ~ sP193_prd ),
inference(cnf_transformation,[status(thm)],[f2168]) ).
fof(f2191,definition,
( sP203_prd
<=> ( ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP203_prd])],[]) ).
fof(f2192,plain,
( sP196_prd
<=> ( ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& sP203_prd ) ),
inference(formula_renaming,[status(thm)],[f2126,f2191]) ).
fof(f2193,plain,
( ( ( ( e20 = unit2
| op2(e20,e20) != e24 )
& op2(e20,e24) = e20 )
| ~ sP203_prd
| sP196_prd )
& ( ( ( ( e20 != unit2
& op2(e20,e20) = e24 )
| op2(e20,e24) != e20 )
& sP203_prd )
| ~ sP196_prd ) ),
inference(NNF_transformation,[status(thm)],[f2192]) ).
fof(f2194,plain,
( sP203_prd
| ~ sP196_prd ),
inference(cnf_transformation,[status(thm)],[f2193]) ).
fof(f2199,definition,
( sP204_prd
<=> ( ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP204_prd])],[]) ).
fof(f2200,plain,
( sP197_prd
<=> ( ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& sP204_prd ) ),
inference(formula_renaming,[status(thm)],[f2134,f2199]) ).
fof(f2201,plain,
( ( ( ( e21 = unit2
| op2(e20,e21) != e23 )
& op2(e20,e23) = e21 )
| ~ sP204_prd
| sP197_prd )
& ( ( ( ( e21 != unit2
& op2(e20,e21) = e23 )
| op2(e20,e23) != e21 )
& sP204_prd )
| ~ sP197_prd ) ),
inference(NNF_transformation,[status(thm)],[f2200]) ).
fof(f2202,plain,
( sP204_prd
| ~ sP197_prd ),
inference(cnf_transformation,[status(thm)],[f2201]) ).
fof(f2207,definition,
( sP205_prd
<=> ( ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP205_prd])],[]) ).
fof(f2208,plain,
( sP198_prd
<=> ( ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& sP205_prd ) ),
inference(formula_renaming,[status(thm)],[f2142,f2207]) ).
fof(f2209,plain,
( ( ( ( e22 = unit2
| op2(e20,e22) != e22 )
& op2(e20,e22) = e22 )
| ~ sP205_prd
| sP198_prd )
& ( ( ( ( e22 != unit2
& op2(e20,e22) = e22 )
| op2(e20,e22) != e22 )
& sP205_prd )
| ~ sP198_prd ) ),
inference(NNF_transformation,[status(thm)],[f2208]) ).
fof(f2214,plain,
( e22 = unit2
| op2(e20,e22) != e22
| ~ sP205_prd
| sP198_prd ),
inference(cnf_transformation,[status(thm)],[f2209]) ).
fof(f2215,plain,
( ( ( ( e23 = unit2
| op2(e20,e23) != e21 )
& op2(e20,e21) = e23 )
| ( ( e23 = unit2
| op2(e20,e23) != e20 )
& op2(e20,e20) = e23 )
| sP199_prd )
& ( ( ( ( e23 != unit2
& op2(e20,e23) = e21 )
| op2(e20,e21) != e23 )
& ( ( e23 != unit2
& op2(e20,e23) = e20 )
| op2(e20,e20) != e23 ) )
| ~ sP199_prd ) ),
inference(NNF_transformation,[status(thm)],[f2150]) ).
fof(f2220,plain,
( op2(e20,e21) = e23
| op2(e20,e20) = e23
| sP199_prd ),
inference(cnf_transformation,[status(thm)],[f2215]) ).
fof(f2249,definition,
( sP208_prd
<=> ( ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP208_prd])],[]) ).
fof(f2250,plain,
( sP203_prd
<=> ( ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& sP208_prd ) ),
inference(formula_renaming,[status(thm)],[f2191,f2249]) ).
fof(f2251,plain,
( ( ( ( e20 = unit2
| op2(e20,e20) != e23 )
& op2(e20,e23) = e20 )
| ~ sP208_prd
| sP203_prd )
& ( ( ( ( e20 != unit2
& op2(e20,e20) = e23 )
| op2(e20,e23) != e20 )
& sP208_prd )
| ~ sP203_prd ) ),
inference(NNF_transformation,[status(thm)],[f2250]) ).
fof(f2252,plain,
( sP208_prd
| ~ sP203_prd ),
inference(cnf_transformation,[status(thm)],[f2251]) ).
fof(f2257,definition,
( sP209_prd
<=> ( ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP209_prd])],[]) ).
fof(f2258,plain,
( sP204_prd
<=> ( ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& sP209_prd ) ),
inference(formula_renaming,[status(thm)],[f2199,f2257]) ).
fof(f2259,plain,
( ( ( ( e21 = unit2
| op2(e20,e21) != e22 )
& op2(e20,e22) = e21 )
| ~ sP209_prd
| sP204_prd )
& ( ( ( ( e21 != unit2
& op2(e20,e21) = e22 )
| op2(e20,e22) != e21 )
& sP209_prd )
| ~ sP204_prd ) ),
inference(NNF_transformation,[status(thm)],[f2258]) ).
fof(f2260,plain,
( sP209_prd
| ~ sP204_prd ),
inference(cnf_transformation,[status(thm)],[f2259]) ).
fof(f2265,plain,
( ( ( ( e22 = unit2
| op2(e20,e22) != e21 )
& op2(e20,e21) = e22 )
| ( ( e22 = unit2
| op2(e20,e22) != e20 )
& op2(e20,e20) = e22 )
| sP205_prd )
& ( ( ( ( e22 != unit2
& op2(e20,e22) = e21 )
| op2(e20,e21) != e22 )
& ( ( e22 != unit2
& op2(e20,e22) = e20 )
| op2(e20,e20) != e22 ) )
| ~ sP205_prd ) ),
inference(NNF_transformation,[status(thm)],[f2207]) ).
fof(f2270,plain,
( op2(e20,e21) = e22
| op2(e20,e20) = e22
| sP205_prd ),
inference(cnf_transformation,[status(thm)],[f2265]) ).
fof(f2291,definition,
( sP211_prd
<=> ( ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP211_prd])],[]) ).
fof(f2292,plain,
( sP208_prd
<=> ( ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& sP211_prd ) ),
inference(formula_renaming,[status(thm)],[f2249,f2291]) ).
fof(f2293,plain,
( ( ( ( e20 = unit2
| op2(e20,e20) != e22 )
& op2(e20,e22) = e20 )
| ~ sP211_prd
| sP208_prd )
& ( ( ( ( e20 != unit2
& op2(e20,e20) = e22 )
| op2(e20,e22) != e20 )
& sP211_prd )
| ~ sP208_prd ) ),
inference(NNF_transformation,[status(thm)],[f2292]) ).
fof(f2294,plain,
( sP211_prd
| ~ sP208_prd ),
inference(cnf_transformation,[status(thm)],[f2293]) ).
fof(f2299,plain,
( ( ( ( e21 = unit2
| op2(e20,e21) != e21 )
& op2(e20,e21) = e21 )
| ( ( e21 = unit2
| op2(e20,e21) != e20 )
& op2(e20,e20) = e21 )
| sP209_prd )
& ( ( ( ( e21 != unit2
& op2(e20,e21) = e21 )
| op2(e20,e21) != e21 )
& ( ( e21 != unit2
& op2(e20,e21) = e20 )
| op2(e20,e20) != e21 ) )
| ~ sP209_prd ) ),
inference(NNF_transformation,[status(thm)],[f2257]) ).
fof(f2300,plain,
( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP209_prd ),
inference(cnf_transformation,[status(thm)],[f2299]) ).
fof(f2317,plain,
( ( ( ( e20 = unit2
| op2(e20,e20) != e21 )
& op2(e20,e21) = e20 )
| ( ( e20 = unit2
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 )
| sP211_prd )
& ( ( ( ( e20 != unit2
& op2(e20,e20) = e21 )
| op2(e20,e21) != e20 )
& ( ( e20 != unit2
& op2(e20,e20) = e20 )
| op2(e20,e20) != e20 ) )
| ~ sP211_prd ) ),
inference(NNF_transformation,[status(thm)],[f2291]) ).
fof(f2319,plain,
( e20 != unit2
| op2(e20,e20) != e20
| ~ sP211_prd ),
inference(cnf_transformation,[status(thm)],[f2317]) ).
fof(f2326,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f2342,definition,
( sQ5_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f2343,plain,
( ~ sQ5_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f2342]) ).
fof(f2345,definition,
( sQ6_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f2346,plain,
( ~ sQ6_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f2345]) ).
fof(f2351,definition,
( sQ8_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f2361,definition,
( sQ11_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f2362,plain,
( ~ sQ11_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f2361]) ).
fof(f2364,definition,
( sQ12_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f2367,definition,
( sQ13_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f2368,plain,
( ~ sQ13_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f2367]) ).
fof(f2377,definition,
( sQ16_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f2383,definition,
( sQ18_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f2384,plain,
( ~ sQ18_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f2383]) ).
fof(f2386,definition,
( sQ19_spl
<=> op1(e10,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f2387,plain,
( ~ sQ19_spl
| op1(e10,e13) = e14 ),
inference(component_clause,[status(thm)],[f2386]) ).
fof(f2390,definition,
( sQ20_spl
<=> op1(e10,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f2391,plain,
( ~ sQ20_spl
| op1(e10,e14) = e10 ),
inference(component_clause,[status(thm)],[f2390]) ).
fof(f2399,definition,
( sQ23_spl
<=> op1(e10,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f2400,plain,
( ~ sQ23_spl
| op1(e10,e14) = e13 ),
inference(component_clause,[status(thm)],[f2399]) ).
fof(f2402,definition,
( sQ24_spl
<=> op1(e10,e14) = e14 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f2403,plain,
( ~ sQ24_spl
| op1(e10,e14) = e14 ),
inference(component_clause,[status(thm)],[f2402]) ).
fof(f2406,definition,
( sQ25_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f2407,plain,
( ~ sQ25_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f2406]) ).
fof(f2409,definition,
( sQ26_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f2410,plain,
( ~ sQ26_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f2409]) ).
fof(f2422,definition,
( sQ30_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f2425,definition,
( sQ31_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f2426,plain,
( ~ sQ31_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f2425]) ).
fof(f2428,definition,
( sQ32_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f2429,plain,
( ~ sQ32_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f2428]) ).
fof(f2431,definition,
( sQ33_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f2432,plain,
( ~ sQ33_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f2431]) ).
fof(f2434,definition,
( sQ34_spl
<=> op1(e11,e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f2435,plain,
( ~ sQ34_spl
| op1(e11,e11) = e14 ),
inference(component_clause,[status(thm)],[f2434]) ).
fof(f2437,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f29,f2422,f2425,f2428,f2431,f2434]) ).
fof(f2438,definition,
( sQ35_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f2439,plain,
( ~ sQ35_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f2438]) ).
fof(f2441,definition,
( sQ36_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f2442,plain,
( ~ sQ36_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f2441]) ).
fof(f2444,definition,
( sQ37_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f2445,plain,
( ~ sQ37_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f2444]) ).
fof(f2447,definition,
( sQ38_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f2448,plain,
( ~ sQ38_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f2447]) ).
fof(f2450,definition,
( sQ39_spl
<=> op1(e11,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f2451,plain,
( ~ sQ39_spl
| op1(e11,e12) = e14 ),
inference(component_clause,[status(thm)],[f2450]) ).
fof(f2453,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f30,f2438,f2441,f2444,f2447,f2450]) ).
fof(f2454,definition,
( sQ40_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f2455,plain,
( ~ sQ40_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f2454]) ).
fof(f2457,definition,
( sQ41_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f2460,definition,
( sQ42_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f2461,plain,
( ~ sQ42_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f2460]) ).
fof(f2463,definition,
( sQ43_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f2466,definition,
( sQ44_spl
<=> op1(e11,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f2467,plain,
( ~ sQ44_spl
| op1(e11,e13) = e14 ),
inference(component_clause,[status(thm)],[f2466]) ).
fof(f2469,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f31,f2454,f2457,f2460,f2463,f2466]) ).
fof(f2470,definition,
( sQ45_spl
<=> op1(e11,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f2471,plain,
( ~ sQ45_spl
| op1(e11,e14) = e10 ),
inference(component_clause,[status(thm)],[f2470]) ).
fof(f2473,definition,
( sQ46_spl
<=> op1(e11,e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f2476,definition,
( sQ47_spl
<=> op1(e11,e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f2477,plain,
( ~ sQ47_spl
| op1(e11,e14) = e12 ),
inference(component_clause,[status(thm)],[f2476]) ).
fof(f2479,definition,
( sQ48_spl
<=> op1(e11,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f2480,plain,
( ~ sQ48_spl
| op1(e11,e14) = e13 ),
inference(component_clause,[status(thm)],[f2479]) ).
fof(f2486,definition,
( sQ50_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f2487,plain,
( ~ sQ50_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f2486]) ).
fof(f2489,definition,
( sQ51_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f2492,definition,
( sQ52_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f2493,plain,
( ~ sQ52_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f2492]) ).
fof(f2495,definition,
( sQ53_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f2496,plain,
( ~ sQ53_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f2495]) ).
fof(f2502,definition,
( sQ55_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f2503,plain,
( ~ sQ55_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f2502]) ).
fof(f2505,definition,
( sQ56_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f2506,plain,
( ~ sQ56_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f2505]) ).
fof(f2508,definition,
( sQ57_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f2511,definition,
( sQ58_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f2512,plain,
( ~ sQ58_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f2511]) ).
fof(f2514,definition,
( sQ59_spl
<=> op1(e12,e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f2515,plain,
( ~ sQ59_spl
| op1(e12,e11) = e14 ),
inference(component_clause,[status(thm)],[f2514]) ).
fof(f2517,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f34,f2502,f2505,f2508,f2511,f2514]) ).
fof(f2518,definition,
( sQ60_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f2519,plain,
( ~ sQ60_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f2518]) ).
fof(f2521,definition,
( sQ61_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f2522,plain,
( ~ sQ61_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f2521]) ).
fof(f2524,definition,
( sQ62_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f2525,plain,
( ~ sQ62_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f2524]) ).
fof(f2527,definition,
( sQ63_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f2529,plain,
( sQ63_spl
| op1(e12,e12) != e13 ),
inference(component_clause,[status(thm)],[f2527]) ).
fof(f2530,definition,
( sQ64_spl
<=> op1(e12,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f2531,plain,
( ~ sQ64_spl
| op1(e12,e12) = e14 ),
inference(component_clause,[status(thm)],[f2530]) ).
fof(f2534,definition,
( sQ65_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f2535,plain,
( ~ sQ65_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f2534]) ).
fof(f2537,definition,
( sQ66_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f2543,definition,
( sQ68_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f2544,plain,
( ~ sQ68_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f2543]) ).
fof(f2546,definition,
( sQ69_spl
<=> op1(e12,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f2547,plain,
( ~ sQ69_spl
| op1(e12,e13) = e14 ),
inference(component_clause,[status(thm)],[f2546]) ).
fof(f2550,definition,
( sQ70_spl
<=> op1(e12,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f2551,plain,
( ~ sQ70_spl
| op1(e12,e14) = e10 ),
inference(component_clause,[status(thm)],[f2550]) ).
fof(f2553,definition,
( sQ71_spl
<=> op1(e12,e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f2554,plain,
( ~ sQ71_spl
| op1(e12,e14) = e11 ),
inference(component_clause,[status(thm)],[f2553]) ).
fof(f2559,definition,
( sQ73_spl
<=> op1(e12,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f2560,plain,
( ~ sQ73_spl
| op1(e12,e14) = e13 ),
inference(component_clause,[status(thm)],[f2559]) ).
fof(f2566,definition,
( sQ75_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f2567,plain,
( ~ sQ75_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f2566]) ).
fof(f2569,definition,
( sQ76_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f2570,plain,
( ~ sQ76_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f2569]) ).
fof(f2572,definition,
( sQ77_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f2573,plain,
( ~ sQ77_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f2572]) ).
fof(f2575,definition,
( sQ78_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f2576,plain,
( ~ sQ78_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f2575]) ).
fof(f2578,definition,
( sQ79_spl
<=> op1(e13,e10) = e14 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f2579,plain,
( ~ sQ79_spl
| op1(e13,e10) = e14 ),
inference(component_clause,[status(thm)],[f2578]) ).
fof(f2582,definition,
( sQ80_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f2583,plain,
( ~ sQ80_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f2582]) ).
fof(f2585,definition,
( sQ81_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f2586,plain,
( ~ sQ81_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f2585]) ).
fof(f2588,definition,
( sQ82_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f2589,plain,
( ~ sQ82_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f2588]) ).
fof(f2591,definition,
( sQ83_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f2592,plain,
( ~ sQ83_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f2591]) ).
fof(f2594,definition,
( sQ84_spl
<=> op1(e13,e11) = e14 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f2595,plain,
( ~ sQ84_spl
| op1(e13,e11) = e14 ),
inference(component_clause,[status(thm)],[f2594]) ).
fof(f2598,definition,
( sQ85_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f2599,plain,
( ~ sQ85_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f2598]) ).
fof(f2601,definition,
( sQ86_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f2604,definition,
( sQ87_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f2605,plain,
( ~ sQ87_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f2604]) ).
fof(f2607,definition,
( sQ88_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f2608,plain,
( ~ sQ88_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f2607]) ).
fof(f2610,definition,
( sQ89_spl
<=> op1(e13,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f2611,plain,
( ~ sQ89_spl
| op1(e13,e12) = e14 ),
inference(component_clause,[status(thm)],[f2610]) ).
fof(f2614,definition,
( sQ90_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f2615,plain,
( ~ sQ90_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f2614]) ).
fof(f2617,definition,
( sQ91_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f2618,plain,
( ~ sQ91_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f2617]) ).
fof(f2620,definition,
( sQ92_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f2621,plain,
( ~ sQ92_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f2620]) ).
fof(f2623,definition,
( sQ93_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f2624,plain,
( ~ sQ93_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f2623]) ).
fof(f2626,definition,
( sQ94_spl
<=> op1(e13,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f2629,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f41,f2614,f2617,f2620,f2623,f2626]) ).
fof(f2630,definition,
( sQ95_spl
<=> op1(e13,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f2631,plain,
( ~ sQ95_spl
| op1(e13,e14) = e10 ),
inference(component_clause,[status(thm)],[f2630]) ).
fof(f2633,definition,
( sQ96_spl
<=> op1(e13,e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f2634,plain,
( ~ sQ96_spl
| op1(e13,e14) = e11 ),
inference(component_clause,[status(thm)],[f2633]) ).
fof(f2636,definition,
( sQ97_spl
<=> op1(e13,e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f2637,plain,
( ~ sQ97_spl
| op1(e13,e14) = e12 ),
inference(component_clause,[status(thm)],[f2636]) ).
fof(f2639,definition,
( sQ98_spl
<=> op1(e13,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f2640,plain,
( ~ sQ98_spl
| op1(e13,e14) = e13 ),
inference(component_clause,[status(thm)],[f2639]) ).
fof(f2642,definition,
( sQ99_spl
<=> op1(e13,e14) = e14 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f2643,plain,
( ~ sQ99_spl
| op1(e13,e14) = e14 ),
inference(component_clause,[status(thm)],[f2642]) ).
fof(f2646,definition,
( sQ100_spl
<=> op1(e14,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f2662,definition,
( sQ105_spl
<=> op1(e14,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f2663,plain,
( ~ sQ105_spl
| op1(e14,e11) = e10 ),
inference(component_clause,[status(thm)],[f2662]) ).
fof(f2671,definition,
( sQ108_spl
<=> op1(e14,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f2672,plain,
( ~ sQ108_spl
| op1(e14,e11) = e13 ),
inference(component_clause,[status(thm)],[f2671]) ).
fof(f2678,definition,
( sQ110_spl
<=> op1(e14,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f2679,plain,
( ~ sQ110_spl
| op1(e14,e12) = e10 ),
inference(component_clause,[status(thm)],[f2678]) ).
fof(f2681,definition,
( sQ111_spl
<=> op1(e14,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f2682,plain,
( ~ sQ111_spl
| op1(e14,e12) = e11 ),
inference(component_clause,[status(thm)],[f2681]) ).
fof(f2684,definition,
( sQ112_spl
<=> op1(e14,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f2685,plain,
( ~ sQ112_spl
| op1(e14,e12) = e12 ),
inference(component_clause,[status(thm)],[f2684]) ).
fof(f2687,definition,
( sQ113_spl
<=> op1(e14,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f2688,plain,
( ~ sQ113_spl
| op1(e14,e12) = e13 ),
inference(component_clause,[status(thm)],[f2687]) ).
fof(f2690,definition,
( sQ114_spl
<=> op1(e14,e12) = e14 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f2693,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f45,f2678,f2681,f2684,f2687,f2690]) ).
fof(f2697,definition,
( sQ116_spl
<=> op1(e14,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f2698,plain,
( ~ sQ116_spl
| op1(e14,e13) = e11 ),
inference(component_clause,[status(thm)],[f2697]) ).
fof(f2706,definition,
( sQ119_spl
<=> op1(e14,e13) = e14 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f2707,plain,
( ~ sQ119_spl
| op1(e14,e13) = e14 ),
inference(component_clause,[status(thm)],[f2706]) ).
fof(f2710,definition,
( sQ120_spl
<=> op1(e14,e14) = e10 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f2713,definition,
( sQ121_spl
<=> op1(e14,e14) = e11 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f2714,plain,
( ~ sQ121_spl
| op1(e14,e14) = e11 ),
inference(component_clause,[status(thm)],[f2713]) ).
fof(f2716,definition,
( sQ122_spl
<=> op1(e14,e14) = e12 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f2717,plain,
( ~ sQ122_spl
| op1(e14,e14) = e12 ),
inference(component_clause,[status(thm)],[f2716]) ).
fof(f2719,definition,
( sQ123_spl
<=> op1(e14,e14) = e13 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f2720,plain,
( ~ sQ123_spl
| op1(e14,e14) = e13 ),
inference(component_clause,[status(thm)],[f2719]) ).
fof(f2722,definition,
( sQ124_spl
<=> op1(e14,e14) = e14 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f2725,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f47,f2710,f2713,f2716,f2719,f2722]) ).
fof(f2726,definition,
( sQ125_spl
<=> unit1 = e10 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f2727,plain,
( ~ sQ125_spl
| unit1 = e10 ),
inference(component_clause,[status(thm)],[f2726]) ).
fof(f2729,definition,
( sQ126_spl
<=> unit1 = e11 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f2730,plain,
( ~ sQ126_spl
| unit1 = e11 ),
inference(component_clause,[status(thm)],[f2729]) ).
fof(f2732,definition,
( sQ127_spl
<=> unit1 = e12 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f2733,plain,
( ~ sQ127_spl
| unit1 = e12 ),
inference(component_clause,[status(thm)],[f2732]) ).
fof(f2735,definition,
( sQ128_spl
<=> unit1 = e13 ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f2736,plain,
( ~ sQ128_spl
| unit1 = e13 ),
inference(component_clause,[status(thm)],[f2735]) ).
fof(f2738,definition,
( sQ129_spl
<=> unit1 = e14 ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f2739,plain,
( ~ sQ129_spl
| unit1 = e14 ),
inference(component_clause,[status(thm)],[f2738]) ).
fof(f2741,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f58,f2726,f2729,f2732,f2735,f2738]) ).
fof(f2754,plain,
( sQ46_spl
| sQ41_spl
| sQ36_spl
| sQ31_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f71,f2409,f2425,f2441,f2457,f2473]) ).
fof(f2759,plain,
( sQ108_spl
| sQ83_spl
| sQ58_spl
| sQ33_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f76,f2351,f2431,f2511,f2591,f2671]) ).
fof(f2762,plain,
( sQ70_spl
| sQ65_spl
| sQ60_spl
| sQ55_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f79,f2486,f2502,f2518,f2534,f2550]) ).
fof(f2764,plain,
( sQ71_spl
| sQ66_spl
| sQ61_spl
| sQ56_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f81,f2489,f2505,f2521,f2537,f2553]) ).
fof(f2765,plain,
( sQ111_spl
| sQ86_spl
| sQ61_spl
| sQ36_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f82,f2361,f2441,f2521,f2601,f2681]) ).
fof(f2772,plain,
( sQ95_spl
| sQ90_spl
| sQ85_spl
| sQ80_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f89,f2566,f2582,f2598,f2614,f2630]) ).
fof(f2775,plain,
( sQ116_spl
| sQ91_spl
| sQ66_spl
| sQ41_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f92,f2377,f2457,f2537,f2617,f2697]) ).
fof(f2776,plain,
( sQ97_spl
| sQ92_spl
| sQ87_spl
| sQ82_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f93,f2572,f2588,f2604,f2620,f2636]) ).
fof(f2789,plain,
( sQ123_spl
| sQ98_spl
| sQ73_spl
| sQ48_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f106,f2399,f2479,f2559,f2639,f2719]) ).
fof(f2792,definition,
( sQ130_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f2793,plain,
( ~ sQ130_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f2792]) ).
fof(f2795,definition,
( sQ131_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f2798,definition,
( sQ132_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f2799,plain,
( ~ sQ132_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f2798]) ).
fof(f2801,definition,
( sQ133_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f2802,plain,
( ~ sQ133_spl
| op2(e20,e20) = e23 ),
inference(component_clause,[status(thm)],[f2801]) ).
fof(f2804,definition,
( sQ134_spl
<=> op2(e20,e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f2805,plain,
( ~ sQ134_spl
| op2(e20,e20) = e24 ),
inference(component_clause,[status(thm)],[f2804]) ).
fof(f2808,definition,
( sQ135_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f2809,plain,
( ~ sQ135_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f2808]) ).
fof(f2811,definition,
( sQ136_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f2812,plain,
( ~ sQ136_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f2811]) ).
fof(f2814,definition,
( sQ137_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f2817,definition,
( sQ138_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f2824,definition,
( sQ140_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f2827,definition,
( sQ141_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f2828,plain,
( ~ sQ141_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f2827]) ).
fof(f2830,definition,
( sQ142_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f2831,plain,
( ~ sQ142_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f2830]) ).
fof(f2833,definition,
( sQ143_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f2834,plain,
( ~ sQ143_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f2833]) ).
fof(f2840,definition,
( sQ145_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f2843,definition,
( sQ146_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f2844,plain,
( ~ sQ146_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f2843]) ).
fof(f2849,definition,
( sQ148_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f2850,plain,
( ~ sQ148_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f2849]) ).
fof(f2852,definition,
( sQ149_spl
<=> op2(e20,e23) = e24 ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f2853,plain,
( ~ sQ149_spl
| op2(e20,e23) = e24 ),
inference(component_clause,[status(thm)],[f2852]) ).
fof(f2856,definition,
( sQ150_spl
<=> op2(e20,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f2857,plain,
( ~ sQ150_spl
| op2(e20,e24) = e20 ),
inference(component_clause,[status(thm)],[f2856]) ).
fof(f2859,definition,
( sQ151_spl
<=> op2(e20,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f2860,plain,
( ~ sQ151_spl
| op2(e20,e24) = e21 ),
inference(component_clause,[status(thm)],[f2859]) ).
fof(f2868,definition,
( sQ154_spl
<=> op2(e20,e24) = e24 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f2869,plain,
( ~ sQ154_spl
| op2(e20,e24) = e24 ),
inference(component_clause,[status(thm)],[f2868]) ).
fof(f2875,definition,
( sQ156_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f2876,plain,
( ~ sQ156_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f2875]) ).
fof(f2884,definition,
( sQ159_spl
<=> op2(e21,e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f2885,plain,
( ~ sQ159_spl
| op2(e21,e20) = e24 ),
inference(component_clause,[status(thm)],[f2884]) ).
fof(f2888,definition,
( sQ160_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f2891,definition,
( sQ161_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f2892,plain,
( ~ sQ161_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f2891]) ).
fof(f2894,definition,
( sQ162_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f2895,plain,
( ~ sQ162_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f2894]) ).
fof(f2897,definition,
( sQ163_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f2898,plain,
( ~ sQ163_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f2897]) ).
fof(f2900,definition,
( sQ164_spl
<=> op2(e21,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f2901,plain,
( ~ sQ164_spl
| op2(e21,e21) = e24 ),
inference(component_clause,[status(thm)],[f2900]) ).
fof(f2903,plain,
( sQ164_spl
| sQ163_spl
| sQ162_spl
| sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f115,f2888,f2891,f2894,f2897,f2900]) ).
fof(f2904,definition,
( sQ165_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f2907,definition,
( sQ166_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f2910,definition,
( sQ167_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f2911,plain,
( ~ sQ167_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f2910]) ).
fof(f2913,definition,
( sQ168_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2914,plain,
( ~ sQ168_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f2913]) ).
fof(f2916,definition,
( sQ169_spl
<=> op2(e21,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f2919,plain,
( sQ169_spl
| sQ168_spl
| sQ167_spl
| sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f116,f2904,f2907,f2910,f2913,f2916]) ).
fof(f2920,definition,
( sQ170_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f2921,plain,
( ~ sQ170_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f2920]) ).
fof(f2923,definition,
( sQ171_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f2926,definition,
( sQ172_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f2927,plain,
( ~ sQ172_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f2926]) ).
fof(f2929,definition,
( sQ173_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2932,definition,
( sQ174_spl
<=> op2(e21,e23) = e24 ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f2933,plain,
( ~ sQ174_spl
| op2(e21,e23) = e24 ),
inference(component_clause,[status(thm)],[f2932]) ).
fof(f2935,plain,
( sQ174_spl
| sQ173_spl
| sQ172_spl
| sQ171_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f117,f2920,f2923,f2926,f2929,f2932]) ).
fof(f2936,definition,
( sQ175_spl
<=> op2(e21,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f2937,plain,
( ~ sQ175_spl
| op2(e21,e24) = e20 ),
inference(component_clause,[status(thm)],[f2936]) ).
fof(f2939,definition,
( sQ176_spl
<=> op2(e21,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f2942,definition,
( sQ177_spl
<=> op2(e21,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f2945,definition,
( sQ178_spl
<=> op2(e21,e24) = e23 ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f2946,plain,
( ~ sQ178_spl
| op2(e21,e24) = e23 ),
inference(component_clause,[status(thm)],[f2945]) ).
fof(f2948,definition,
( sQ179_spl
<=> op2(e21,e24) = e24 ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f2949,plain,
( ~ sQ179_spl
| op2(e21,e24) = e24 ),
inference(component_clause,[status(thm)],[f2948]) ).
fof(f2951,plain,
( sQ179_spl
| sQ178_spl
| sQ177_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f118,f2936,f2939,f2942,f2945,f2948]) ).
fof(f2952,definition,
( sQ180_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f2955,definition,
( sQ181_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f2958,definition,
( sQ182_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f2959,plain,
( ~ sQ182_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f2958]) ).
fof(f2961,definition,
( sQ183_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2962,plain,
( ~ sQ183_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f2961]) ).
fof(f2964,definition,
( sQ184_spl
<=> op2(e22,e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f2965,plain,
( ~ sQ184_spl
| op2(e22,e20) = e24 ),
inference(component_clause,[status(thm)],[f2964]) ).
fof(f2968,definition,
( sQ185_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f2969,plain,
( ~ sQ185_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f2968]) ).
fof(f2971,definition,
( sQ186_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f2972,plain,
( ~ sQ186_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f2971]) ).
fof(f2974,definition,
( sQ187_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f2977,definition,
( sQ188_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f2978,plain,
( ~ sQ188_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f2977]) ).
fof(f2980,definition,
( sQ189_spl
<=> op2(e22,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2981,plain,
( ~ sQ189_spl
| op2(e22,e21) = e24 ),
inference(component_clause,[status(thm)],[f2980]) ).
fof(f2984,definition,
( sQ190_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2985,plain,
( ~ sQ190_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f2984]) ).
fof(f2987,definition,
( sQ191_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2988,plain,
( ~ sQ191_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f2987]) ).
fof(f2990,definition,
( sQ192_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f2991,plain,
( ~ sQ192_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f2990]) ).
fof(f2993,definition,
( sQ193_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f2995,plain,
( sQ193_spl
| op2(e22,e22) != e23 ),
inference(component_clause,[status(thm)],[f2993]) ).
fof(f2996,definition,
( sQ194_spl
<=> op2(e22,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f2997,plain,
( ~ sQ194_spl
| op2(e22,e22) = e24 ),
inference(component_clause,[status(thm)],[f2996]) ).
fof(f3000,definition,
( sQ195_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f3001,plain,
( ~ sQ195_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f3000]) ).
fof(f3003,definition,
( sQ196_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f3006,definition,
( sQ197_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f3007,plain,
( ~ sQ197_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f3006]) ).
fof(f3009,definition,
( sQ198_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f3012,definition,
( sQ199_spl
<=> op2(e22,e23) = e24 ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f3013,plain,
( ~ sQ199_spl
| op2(e22,e23) = e24 ),
inference(component_clause,[status(thm)],[f3012]) ).
fof(f3016,definition,
( sQ200_spl
<=> op2(e22,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f3017,plain,
( ~ sQ200_spl
| op2(e22,e24) = e20 ),
inference(component_clause,[status(thm)],[f3016]) ).
fof(f3019,definition,
( sQ201_spl
<=> op2(e22,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f3020,plain,
( ~ sQ201_spl
| op2(e22,e24) = e21 ),
inference(component_clause,[status(thm)],[f3019]) ).
fof(f3025,definition,
( sQ203_spl
<=> op2(e22,e24) = e23 ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f3026,plain,
( ~ sQ203_spl
| op2(e22,e24) = e23 ),
inference(component_clause,[status(thm)],[f3025]) ).
fof(f3032,definition,
( sQ205_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f3035,definition,
( sQ206_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f3036,plain,
( ~ sQ206_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f3035]) ).
fof(f3038,definition,
( sQ207_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f3041,definition,
( sQ208_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f3042,plain,
( ~ sQ208_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f3041]) ).
fof(f3044,definition,
( sQ209_spl
<=> op2(e23,e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f3045,plain,
( ~ sQ209_spl
| op2(e23,e20) = e24 ),
inference(component_clause,[status(thm)],[f3044]) ).
fof(f3048,definition,
( sQ210_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f3051,definition,
( sQ211_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f3052,plain,
( ~ sQ211_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f3051]) ).
fof(f3054,definition,
( sQ212_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f3055,plain,
( ~ sQ212_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f3054]) ).
fof(f3060,definition,
( sQ214_spl
<=> op2(e23,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f3061,plain,
( ~ sQ214_spl
| op2(e23,e21) = e24 ),
inference(component_clause,[status(thm)],[f3060]) ).
fof(f3064,definition,
( sQ215_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f3065,plain,
( ~ sQ215_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f3064]) ).
fof(f3067,definition,
( sQ216_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f3068,plain,
( ~ sQ216_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f3067]) ).
fof(f3069,plain,
( sQ216_spl
| op2(e23,e22) != e21 ),
inference(component_clause,[status(thm)],[f3067]) ).
fof(f3070,definition,
( sQ217_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f3071,plain,
( ~ sQ217_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f3070]) ).
fof(f3073,definition,
( sQ218_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f3074,plain,
( ~ sQ218_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f3073]) ).
fof(f3076,definition,
( sQ219_spl
<=> op2(e23,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f3077,plain,
( ~ sQ219_spl
| op2(e23,e22) = e24 ),
inference(component_clause,[status(thm)],[f3076]) ).
fof(f3080,definition,
( sQ220_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f3081,plain,
( ~ sQ220_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f3080]) ).
fof(f3083,definition,
( sQ221_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f3084,plain,
( ~ sQ221_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f3083]) ).
fof(f3086,definition,
( sQ222_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f3087,plain,
( ~ sQ222_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f3086]) ).
fof(f3089,definition,
( sQ223_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f3090,plain,
( ~ sQ223_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f3089]) ).
fof(f3092,definition,
( sQ224_spl
<=> op2(e23,e23) = e24 ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f3095,plain,
( sQ224_spl
| sQ223_spl
| sQ222_spl
| sQ221_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f127,f3080,f3083,f3086,f3089,f3092]) ).
fof(f3096,definition,
( sQ225_spl
<=> op2(e23,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f3097,plain,
( ~ sQ225_spl
| op2(e23,e24) = e20 ),
inference(component_clause,[status(thm)],[f3096]) ).
fof(f3099,definition,
( sQ226_spl
<=> op2(e23,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f3100,plain,
( ~ sQ226_spl
| op2(e23,e24) = e21 ),
inference(component_clause,[status(thm)],[f3099]) ).
fof(f3102,definition,
( sQ227_spl
<=> op2(e23,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f3103,plain,
( ~ sQ227_spl
| op2(e23,e24) = e22 ),
inference(component_clause,[status(thm)],[f3102]) ).
fof(f3105,definition,
( sQ228_spl
<=> op2(e23,e24) = e23 ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f3108,definition,
( sQ229_spl
<=> op2(e23,e24) = e24 ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f3109,plain,
( ~ sQ229_spl
| op2(e23,e24) = e24 ),
inference(component_clause,[status(thm)],[f3108]) ).
fof(f3112,definition,
( sQ230_spl
<=> op2(e24,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f3113,plain,
( ~ sQ230_spl
| op2(e24,e20) = e20 ),
inference(component_clause,[status(thm)],[f3112]) ).
fof(f3114,plain,
( sQ230_spl
| op2(e24,e20) != e20 ),
inference(component_clause,[status(thm)],[f3112]) ).
fof(f3115,definition,
( sQ231_spl
<=> op2(e24,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f3118,definition,
( sQ232_spl
<=> op2(e24,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f3119,plain,
( ~ sQ232_spl
| op2(e24,e20) = e22 ),
inference(component_clause,[status(thm)],[f3118]) ).
fof(f3121,definition,
( sQ233_spl
<=> op2(e24,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f3122,plain,
( ~ sQ233_spl
| op2(e24,e20) = e23 ),
inference(component_clause,[status(thm)],[f3121]) ).
fof(f3124,definition,
( sQ234_spl
<=> op2(e24,e20) = e24 ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f3128,definition,
( sQ235_spl
<=> op2(e24,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f3131,definition,
( sQ236_spl
<=> op2(e24,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f3132,plain,
( ~ sQ236_spl
| op2(e24,e21) = e21 ),
inference(component_clause,[status(thm)],[f3131]) ).
fof(f3134,definition,
( sQ237_spl
<=> op2(e24,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f3137,definition,
( sQ238_spl
<=> op2(e24,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f3138,plain,
( ~ sQ238_spl
| op2(e24,e21) = e23 ),
inference(component_clause,[status(thm)],[f3137]) ).
fof(f3140,definition,
( sQ239_spl
<=> op2(e24,e21) = e24 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f3141,plain,
( ~ sQ239_spl
| op2(e24,e21) = e24 ),
inference(component_clause,[status(thm)],[f3140]) ).
fof(f3144,definition,
( sQ240_spl
<=> op2(e24,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f3145,plain,
( ~ sQ240_spl
| op2(e24,e22) = e20 ),
inference(component_clause,[status(thm)],[f3144]) ).
fof(f3147,definition,
( sQ241_spl
<=> op2(e24,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f3148,plain,
( ~ sQ241_spl
| op2(e24,e22) = e21 ),
inference(component_clause,[status(thm)],[f3147]) ).
fof(f3150,definition,
( sQ242_spl
<=> op2(e24,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f3151,plain,
( ~ sQ242_spl
| op2(e24,e22) = e22 ),
inference(component_clause,[status(thm)],[f3150]) ).
fof(f3153,definition,
( sQ243_spl
<=> op2(e24,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f3154,plain,
( ~ sQ243_spl
| op2(e24,e22) = e23 ),
inference(component_clause,[status(thm)],[f3153]) ).
fof(f3156,definition,
( sQ244_spl
<=> op2(e24,e22) = e24 ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f3157,plain,
( ~ sQ244_spl
| op2(e24,e22) = e24 ),
inference(component_clause,[status(thm)],[f3156]) ).
fof(f3160,definition,
( sQ245_spl
<=> op2(e24,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f3161,plain,
( ~ sQ245_spl
| op2(e24,e23) = e20 ),
inference(component_clause,[status(thm)],[f3160]) ).
fof(f3163,definition,
( sQ246_spl
<=> op2(e24,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f3164,plain,
( ~ sQ246_spl
| op2(e24,e23) = e21 ),
inference(component_clause,[status(thm)],[f3163]) ).
fof(f3166,definition,
( sQ247_spl
<=> op2(e24,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f3167,plain,
( ~ sQ247_spl
| op2(e24,e23) = e22 ),
inference(component_clause,[status(thm)],[f3166]) ).
fof(f3169,definition,
( sQ248_spl
<=> op2(e24,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f3170,plain,
( ~ sQ248_spl
| op2(e24,e23) = e23 ),
inference(component_clause,[status(thm)],[f3169]) ).
fof(f3176,definition,
( sQ250_spl
<=> op2(e24,e24) = e20 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f3177,plain,
( ~ sQ250_spl
| op2(e24,e24) = e20 ),
inference(component_clause,[status(thm)],[f3176]) ).
fof(f3179,definition,
( sQ251_spl
<=> op2(e24,e24) = e21 ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f3182,definition,
( sQ252_spl
<=> op2(e24,e24) = e22 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f3183,plain,
( ~ sQ252_spl
| op2(e24,e24) = e22 ),
inference(component_clause,[status(thm)],[f3182]) ).
fof(f3192,definition,
( sQ255_spl
<=> unit2 = e20 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f3193,plain,
( ~ sQ255_spl
| unit2 = e20 ),
inference(component_clause,[status(thm)],[f3192]) ).
fof(f3195,definition,
( sQ256_spl
<=> unit2 = e21 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f3196,plain,
( ~ sQ256_spl
| unit2 = e21 ),
inference(component_clause,[status(thm)],[f3195]) ).
fof(f3198,definition,
( sQ257_spl
<=> unit2 = e22 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f3199,plain,
( ~ sQ257_spl
| unit2 = e22 ),
inference(component_clause,[status(thm)],[f3198]) ).
fof(f3201,definition,
( sQ258_spl
<=> unit2 = e23 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f3202,plain,
( ~ sQ258_spl
| unit2 = e23 ),
inference(component_clause,[status(thm)],[f3201]) ).
fof(f3204,definition,
( sQ259_spl
<=> unit2 = e24 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f3205,plain,
( ~ sQ259_spl
| unit2 = e24 ),
inference(component_clause,[status(thm)],[f3204]) ).
fof(f3207,plain,
( sQ259_spl
| sQ258_spl
| sQ257_spl
| sQ256_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f144,f3192,f3195,f3198,f3201,f3204]) ).
fof(f3210,plain,
( sQ151_spl
| sQ146_spl
| sQ141_spl
| sQ136_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f147,f2795,f2811,f2827,f2843,f2859]) ).
fof(f3220,plain,
( sQ176_spl
| sQ171_spl
| sQ166_spl
| sQ161_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f157,f2875,f2891,f2907,f2923,f2939]) ).
fof(f3228,plain,
( sQ200_spl
| sQ195_spl
| sQ190_spl
| sQ185_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f165,f2952,f2968,f2984,f3000,f3016]) ).
fof(f3229,plain,
( sQ240_spl
| sQ215_spl
| sQ190_spl
| sQ165_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f166,f2824,f2904,f2984,f3064,f3144]) ).
fof(f3230,plain,
( sQ201_spl
| sQ196_spl
| sQ191_spl
| sQ186_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f167,f2955,f2971,f2987,f3003,f3019]) ).
fof(f3241,plain,
( sQ246_spl
| sQ221_spl
| sQ196_spl
| sQ171_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f178,f2843,f2923,f3003,f3083,f3163]) ).
fof(f3249,plain,
( sQ250_spl
| sQ225_spl
| sQ200_spl
| sQ175_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f186,f2856,f2936,f3016,f3096,f3176]) ).
fof(f3252,plain,
( sQ252_spl
| sQ247_spl
| sQ242_spl
| sQ237_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f189,f3118,f3134,f3150,f3166,f3182]) ).
fof(f3258,definition,
( sQ260_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f3275,plain,
( sQ47_spl
| ~ sQ39_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f456,f3258,f2450,f2476]) ).
fof(f3311,definition,
( sQ261_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f3350,plain,
( sQ228_spl
| ~ sQ224_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f530,f3311,f3092,f3105]) ).
fof(f3400,definition,
( sQ274_spl
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f3401,plain,
( ~ sQ274_spl
| h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f3400]) ).
fof(f3402,plain,
( sQ274_spl
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f3400]) ).
fof(f3439,definition,
( sQ287_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f3463,definition,
( sQ294_spl
<=> h1(e13) = e24 ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f3464,plain,
( ~ sQ294_spl
| h1(e13) = e24 ),
inference(component_clause,[status(thm)],[f3463]) ).
fof(f3465,plain,
( sQ294_spl
| h1(e13) != e24 ),
inference(component_clause,[status(thm)],[f3463]) ).
fof(f3489,definition,
( sQ302_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f3490,plain,
( ~ sQ302_spl
| h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f3489]) ).
fof(f3491,plain,
( sQ302_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f3489]) ).
fof(f3507,definition,
( sQ308_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f3509,plain,
( sQ308_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f3507]) ).
fof(f3522,definition,
( sQ313_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3524,plain,
( sQ313_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f3522]) ).
fof(f3525,definition,
( sQ314_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3527,plain,
( sQ314_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f3525]) ).
fof(f3546,definition,
( sQ321_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3549,definition,
( sQ322_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3552,definition,
( sQ323_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3555,definition,
( sQ324_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3596,definition,
( sQ336_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f3598,plain,
( sQ336_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f3596]) ).
fof(f3599,definition,
( sQ337_spl
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f3600,plain,
( ~ sQ337_spl
| h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f3599]) ).
fof(f3601,plain,
( sQ337_spl
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f3599]) ).
fof(f3614,definition,
( sQ342_spl
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f3616,plain,
( sQ342_spl
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f3614]) ).
fof(f3626,definition,
( sQ346_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f3627,plain,
( ~ sQ346_spl
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f3626]) ).
fof(f3628,plain,
( sQ346_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f3626]) ).
fof(f3629,definition,
( sQ347_spl
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f3630,plain,
( ~ sQ347_spl
| h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f3629]) ).
fof(f3631,plain,
( sQ347_spl
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f3629]) ).
fof(f3632,definition,
( sQ348_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f3634,plain,
( sQ348_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f3632]) ).
fof(f3644,definition,
( sQ352_spl
<=> h3(op1(e14,e12)) = op2(h3(e14),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f3645,plain,
( ~ sQ352_spl
| h3(op1(e14,e12)) = op2(h3(e14),h3(e12)) ),
inference(component_clause,[status(thm)],[f3644]) ).
fof(f3646,plain,
( sQ352_spl
| h3(op1(e14,e12)) != op2(h3(e14),h3(e12)) ),
inference(component_clause,[status(thm)],[f3644]) ).
fof(f3653,definition,
( sQ355_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f3656,definition,
( sQ356_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f3659,definition,
( sQ357_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f3662,definition,
( sQ358_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f3681,definition,
( sQ363_spl
<=> h3(e14) = e24 ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f3682,plain,
( ~ sQ363_spl
| h3(e14) = e24 ),
inference(component_clause,[status(thm)],[f3681]) ).
fof(f3683,plain,
( sQ363_spl
| h3(e14) != e24 ),
inference(component_clause,[status(thm)],[f3681]) ).
fof(f3685,definition,
( sQ364_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f3687,plain,
( sQ364_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f3685]) ).
fof(f3688,definition,
( sQ365_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f3690,plain,
( sQ365_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f3688]) ).
fof(f3691,definition,
( sQ366_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f3693,plain,
( sQ366_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f3691]) ).
fof(f3694,definition,
( sQ367_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f3696,plain,
( sQ367_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f3694]) ).
fof(f3697,definition,
( sQ368_spl
<=> h4(op1(e10,e14)) = op2(h4(e10),h4(e14)) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f3699,plain,
( sQ368_spl
| h4(op1(e10,e14)) != op2(h4(e10),h4(e14)) ),
inference(component_clause,[status(thm)],[f3697]) ).
fof(f3700,definition,
( sQ369_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f3702,plain,
( sQ369_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f3700]) ).
fof(f3703,definition,
( sQ370_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f3705,plain,
( sQ370_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f3703]) ).
fof(f3706,definition,
( sQ371_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f3708,plain,
( sQ371_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f3706]) ).
fof(f3709,definition,
( sQ372_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f3711,plain,
( sQ372_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f3709]) ).
fof(f3712,definition,
( sQ373_spl
<=> h4(op1(e11,e14)) = op2(h4(e11),h4(e14)) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f3714,plain,
( sQ373_spl
| h4(op1(e11,e14)) != op2(h4(e11),h4(e14)) ),
inference(component_clause,[status(thm)],[f3712]) ).
fof(f3715,definition,
( sQ374_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f3717,plain,
( sQ374_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f3715]) ).
fof(f3718,definition,
( sQ375_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f3720,plain,
( sQ375_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f3718]) ).
fof(f3721,definition,
( sQ376_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f3723,plain,
( sQ376_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f3721]) ).
fof(f3724,definition,
( sQ377_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f3726,plain,
( sQ377_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f3724]) ).
fof(f3727,definition,
( sQ378_spl
<=> h4(op1(e12,e14)) = op2(h4(e12),h4(e14)) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f3729,plain,
( sQ378_spl
| h4(op1(e12,e14)) != op2(h4(e12),h4(e14)) ),
inference(component_clause,[status(thm)],[f3727]) ).
fof(f3730,definition,
( sQ379_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f3732,plain,
( sQ379_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f3730]) ).
fof(f3733,definition,
( sQ380_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f3735,plain,
( sQ380_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f3733]) ).
fof(f3736,definition,
( sQ381_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f3737,plain,
( ~ sQ381_spl
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f3736]) ).
fof(f3738,plain,
( sQ381_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f3736]) ).
fof(f3739,definition,
( sQ382_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f3741,plain,
( sQ382_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f3739]) ).
fof(f3742,definition,
( sQ383_spl
<=> h4(op1(e13,e14)) = op2(h4(e13),h4(e14)) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f3744,plain,
( sQ383_spl
| h4(op1(e13,e14)) != op2(h4(e13),h4(e14)) ),
inference(component_clause,[status(thm)],[f3742]) ).
fof(f3745,definition,
( sQ384_spl
<=> h4(op1(e14,e10)) = op2(h4(e14),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f3747,plain,
( sQ384_spl
| h4(op1(e14,e10)) != op2(h4(e14),h4(e10)) ),
inference(component_clause,[status(thm)],[f3745]) ).
fof(f3748,definition,
( sQ385_spl
<=> h4(op1(e14,e11)) = op2(h4(e14),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f3750,plain,
( sQ385_spl
| h4(op1(e14,e11)) != op2(h4(e14),h4(e11)) ),
inference(component_clause,[status(thm)],[f3748]) ).
fof(f3751,definition,
( sQ386_spl
<=> h4(op1(e14,e12)) = op2(h4(e14),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f3753,plain,
( sQ386_spl
| h4(op1(e14,e12)) != op2(h4(e14),h4(e12)) ),
inference(component_clause,[status(thm)],[f3751]) ).
fof(f3754,definition,
( sQ387_spl
<=> h4(op1(e14,e13)) = op2(h4(e14),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f3756,plain,
( sQ387_spl
| h4(op1(e14,e13)) != op2(h4(e14),h4(e13)) ),
inference(component_clause,[status(thm)],[f3754]) ).
fof(f3757,definition,
( sQ388_spl
<=> h4(op1(e14,e14)) = op2(h4(e14),h4(e14)) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f3759,plain,
( sQ388_spl
| h4(op1(e14,e14)) != op2(h4(e14),h4(e14)) ),
inference(component_clause,[status(thm)],[f3757]) ).
fof(f3760,definition,
( sQ389_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f3763,definition,
( sQ390_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f3766,definition,
( sQ391_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f3769,definition,
( sQ392_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f3784,definition,
( sQ396_spl
<=> h4(e13) = e24 ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f3786,plain,
( sQ396_spl
| h4(e13) != e24 ),
inference(component_clause,[status(thm)],[f3784]) ).
fof(f3787,plain,
( ~ sQ396_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
| ~ sQ367_spl
| ~ sQ366_spl
| ~ sQ365_spl
| ~ sQ364_spl ),
inference(split_clause,[status(thm)],[f617,f3685,f3688,f3691,f3694,f3697,f3700,f3703,f3706,f3709,f3712,f3715,f3718,f3721,f3724,f3727,f3730,f3733,f3736,f3739,f3742,f3745,f3748,f3751,f3754,f3757,f3760,f3763,f3766,f3769,f3784]) ).
fof(f3810,definition,
( sQ404_spl
<=> h5(op1(e11,e11)) = op2(h5(e11),h5(e11)) ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f3812,plain,
( sQ404_spl
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11)) ),
inference(component_clause,[status(thm)],[f3810]) ).
fof(f3887,definition,
( sQ429_spl
<=> h5(e12) = e24 ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f3889,plain,
( sQ429_spl
| h5(e12) != e24 ),
inference(component_clause,[status(thm)],[f3887]) ).
fof(f3899,definition,
( sQ432_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f3902,definition,
( sQ433_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f3905,plain,
( sQ433_spl
| sQ432_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f629,f3258,f3899,f3902]) ).
fof(f3911,definition,
( sQ434_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f3914,definition,
( sQ435_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f3917,plain,
( sQ435_spl
| sQ434_spl
| ~ sQ261_spl ),
inference(split_clause,[status(thm)],[f640,f3311,f3911,f3914]) ).
fof(f3935,definition,
( sQ439_spl
<=> h1(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f3936,plain,
( ~ sQ439_spl
| h1(e13) = e20 ),
inference(component_clause,[status(thm)],[f3935]) ).
fof(f3937,plain,
( sQ439_spl
| h1(e13) != e20 ),
inference(component_clause,[status(thm)],[f3935]) ).
fof(f3938,plain,
( ~ sQ439_spl
| ~ sQ287_spl ),
inference(split_clause,[status(thm)],[f650,f3439,f3935]) ).
fof(f3952,definition,
( sQ443_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f3953,plain,
( ~ sQ443_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f3952]) ).
fof(f3956,definition,
( sQ444_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f3973,definition,
( sQ448_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f3974,plain,
( ~ sQ448_spl
| h1(e12) = e22 ),
inference(component_clause,[status(thm)],[f3973]) ).
fof(f3977,definition,
( sQ449_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f3978,plain,
( ~ sQ449_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f3977]) ).
fof(f3979,plain,
( sQ449_spl
| h1(e13) != e22 ),
inference(component_clause,[status(thm)],[f3977]) ).
fof(f3994,definition,
( sQ453_spl
<=> h1(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f3995,plain,
( ~ sQ453_spl
| h1(e12) = e23 ),
inference(component_clause,[status(thm)],[f3994]) ).
fof(f3998,definition,
( sQ454_spl
<=> h1(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f4000,plain,
( sQ454_spl
| h1(e13) != e23 ),
inference(component_clause,[status(thm)],[f3998]) ).
fof(f4011,definition,
( sQ457_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f4012,plain,
( ~ sQ457_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f4011]) ).
fof(f4015,definition,
( sQ458_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).
fof(f4016,plain,
( ~ sQ458_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f4015]) ).
fof(f4019,definition,
( sQ459_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f4020,plain,
( ~ sQ459_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f4019]) ).
fof(f4021,plain,
( sQ459_spl
| h2(e13) != e20 ),
inference(component_clause,[status(thm)],[f4019]) ).
fof(f4022,plain,
( ~ sQ459_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f678,f3546,f4019]) ).
fof(f4032,definition,
( sQ462_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f4033,plain,
( ~ sQ462_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f4032]) ).
fof(f4034,plain,
( sQ462_spl
| h2(e11) != e21 ),
inference(component_clause,[status(thm)],[f4032]) ).
fof(f4036,definition,
( sQ463_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).
fof(f4038,plain,
( sQ463_spl
| h2(e12) != e21 ),
inference(component_clause,[status(thm)],[f4036]) ).
fof(f4039,plain,
( ~ sQ463_spl
| ~ sQ322_spl ),
inference(split_clause,[status(thm)],[f684,f3549,f4036]) ).
fof(f4040,definition,
( sQ464_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).
fof(f4041,plain,
( ~ sQ464_spl
| h2(e13) = e21 ),
inference(component_clause,[status(thm)],[f4040]) ).
fof(f4049,definition,
( sQ466_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f4050,plain,
( ~ sQ466_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f4049]) ).
fof(f4053,definition,
( sQ467_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f4054,plain,
( ~ sQ467_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f4053]) ).
fof(f4055,plain,
( sQ467_spl
| h2(e11) != e22 ),
inference(component_clause,[status(thm)],[f4053]) ).
fof(f4057,definition,
( sQ468_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f4058,plain,
( ~ sQ468_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f4057]) ).
fof(f4061,definition,
( sQ469_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f4062,plain,
( ~ sQ469_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f4061]) ).
fof(f4065,definition,
( sQ470_spl
<=> h2(e14) = e22 ),
introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).
fof(f4066,plain,
( ~ sQ470_spl
| h2(e14) = e22 ),
inference(component_clause,[status(thm)],[f4065]) ).
fof(f4069,plain,
( sQ470_spl
| sQ469_spl
| sQ468_spl
| sQ467_spl
| sQ466_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f694,f3552,f4049,f4053,f4057,f4061,f4065]) ).
fof(f4070,definition,
( sQ471_spl
<=> h2(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f4071,plain,
( ~ sQ471_spl
| h2(e10) = e23 ),
inference(component_clause,[status(thm)],[f4070]) ).
fof(f4072,plain,
( sQ471_spl
| h2(e10) != e23 ),
inference(component_clause,[status(thm)],[f4070]) ).
fof(f4074,definition,
( sQ472_spl
<=> h2(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ472_spl])],[split_symbol_definition]) ).
fof(f4075,plain,
( ~ sQ472_spl
| h2(e11) = e23 ),
inference(component_clause,[status(thm)],[f4074]) ).
fof(f4078,definition,
( sQ473_spl
<=> h2(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f4079,plain,
( ~ sQ473_spl
| h2(e12) = e23 ),
inference(component_clause,[status(thm)],[f4078]) ).
fof(f4082,definition,
( sQ474_spl
<=> h2(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ474_spl])],[split_symbol_definition]) ).
fof(f4083,plain,
( ~ sQ474_spl
| h2(e13) = e23 ),
inference(component_clause,[status(thm)],[f4082]) ).
fof(f4086,definition,
( sQ475_spl
<=> h2(e14) = e23 ),
introduced(definition,[new_symbols(definition,[sQ475_spl])],[split_symbol_definition]) ).
fof(f4087,plain,
( ~ sQ475_spl
| h2(e14) = e23 ),
inference(component_clause,[status(thm)],[f4086]) ).
fof(f4090,plain,
( sQ475_spl
| sQ474_spl
| sQ473_spl
| sQ472_spl
| sQ471_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f701,f3555,f4070,f4074,f4078,f4082,f4086]) ).
fof(f4091,definition,
( sQ476_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ476_spl])],[split_symbol_definition]) ).
fof(f4092,plain,
( ~ sQ476_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f4091]) ).
fof(f4093,plain,
( sQ476_spl
| h3(e10) != e20 ),
inference(component_clause,[status(thm)],[f4091]) ).
fof(f4094,plain,
( ~ sQ476_spl
| ~ sQ355_spl ),
inference(split_clause,[status(thm)],[f703,f3653,f4091]) ).
fof(f4095,definition,
( sQ477_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ477_spl])],[split_symbol_definition]) ).
fof(f4096,plain,
( ~ sQ477_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f4095]) ).
fof(f4099,definition,
( sQ478_spl
<=> h3(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ478_spl])],[split_symbol_definition]) ).
fof(f4100,plain,
( ~ sQ478_spl
| h3(e12) = e20 ),
inference(component_clause,[status(thm)],[f4099]) ).
fof(f4103,definition,
( sQ479_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ479_spl])],[split_symbol_definition]) ).
fof(f4104,plain,
( ~ sQ479_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f4103]) ).
fof(f4112,definition,
( sQ481_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ481_spl])],[split_symbol_definition]) ).
fof(f4113,plain,
( ~ sQ481_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f4112]) ).
fof(f4116,definition,
( sQ482_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ482_spl])],[split_symbol_definition]) ).
fof(f4117,plain,
( ~ sQ482_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f4116]) ).
fof(f4118,plain,
( sQ482_spl
| h3(e11) != e21 ),
inference(component_clause,[status(thm)],[f4116]) ).
fof(f4119,plain,
( ~ sQ482_spl
| ~ sQ356_spl ),
inference(split_clause,[status(thm)],[f711,f3656,f4116]) ).
fof(f4120,definition,
( sQ483_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ483_spl])],[split_symbol_definition]) ).
fof(f4121,plain,
( ~ sQ483_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f4120]) ).
fof(f4124,definition,
( sQ484_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ484_spl])],[split_symbol_definition]) ).
fof(f4125,plain,
( ~ sQ484_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f4124]) ).
fof(f4133,definition,
( sQ486_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ486_spl])],[split_symbol_definition]) ).
fof(f4134,plain,
( ~ sQ486_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f4133]) ).
fof(f4137,definition,
( sQ487_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ487_spl])],[split_symbol_definition]) ).
fof(f4138,plain,
( ~ sQ487_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f4137]) ).
fof(f4141,definition,
( sQ488_spl
<=> h3(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition]) ).
fof(f4143,plain,
( sQ488_spl
| h3(e12) != e22 ),
inference(component_clause,[status(thm)],[f4141]) ).
fof(f4144,plain,
( ~ sQ488_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f719,f3659,f4141]) ).
fof(f4145,definition,
( sQ489_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ489_spl])],[split_symbol_definition]) ).
fof(f4146,plain,
( ~ sQ489_spl
| h3(e13) = e22 ),
inference(component_clause,[status(thm)],[f4145]) ).
fof(f4149,definition,
( sQ490_spl
<=> h3(e14) = e22 ),
introduced(definition,[new_symbols(definition,[sQ490_spl])],[split_symbol_definition]) ).
fof(f4150,plain,
( ~ sQ490_spl
| h3(e14) = e22 ),
inference(component_clause,[status(thm)],[f4149]) ).
fof(f4162,definition,
( sQ493_spl
<=> h3(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ493_spl])],[split_symbol_definition]) ).
fof(f4163,plain,
( ~ sQ493_spl
| h3(e12) = e23 ),
inference(component_clause,[status(thm)],[f4162]) ).
fof(f4166,definition,
( sQ494_spl
<=> h3(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ494_spl])],[split_symbol_definition]) ).
fof(f4167,plain,
( ~ sQ494_spl
| h3(e13) = e23 ),
inference(component_clause,[status(thm)],[f4166]) ).
fof(f4168,plain,
( sQ494_spl
| h3(e13) != e23 ),
inference(component_clause,[status(thm)],[f4166]) ).
fof(f4169,plain,
( ~ sQ494_spl
| ~ sQ358_spl ),
inference(split_clause,[status(thm)],[f727,f3662,f4166]) ).
fof(f4175,definition,
( sQ496_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ496_spl])],[split_symbol_definition]) ).
fof(f4176,plain,
( ~ sQ496_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f4175]) ).
fof(f4177,plain,
( sQ496_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f4175]) ).
fof(f4178,plain,
( ~ sQ496_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f731,f3760,f4175]) ).
fof(f4179,definition,
( sQ497_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ497_spl])],[split_symbol_definition]) ).
fof(f4180,plain,
( ~ sQ497_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f4179]) ).
fof(f4181,plain,
( sQ497_spl
| h4(e11) != e20 ),
inference(component_clause,[status(thm)],[f4179]) ).
fof(f4183,definition,
( sQ498_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ498_spl])],[split_symbol_definition]) ).
fof(f4184,plain,
( ~ sQ498_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f4183]) ).
fof(f4187,definition,
( sQ499_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ499_spl])],[split_symbol_definition]) ).
fof(f4188,plain,
( ~ sQ499_spl
| h4(e13) = e20 ),
inference(component_clause,[status(thm)],[f4187]) ).
fof(f4191,definition,
( sQ500_spl
<=> h4(e14) = e20 ),
introduced(definition,[new_symbols(definition,[sQ500_spl])],[split_symbol_definition]) ).
fof(f4192,plain,
( ~ sQ500_spl
| h4(e14) = e20 ),
inference(component_clause,[status(thm)],[f4191]) ).
fof(f4193,plain,
( sQ500_spl
| h4(e14) != e20 ),
inference(component_clause,[status(thm)],[f4191]) ).
fof(f4196,definition,
( sQ501_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f4197,plain,
( ~ sQ501_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f4196]) ).
fof(f4200,definition,
( sQ502_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f4201,plain,
( ~ sQ502_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f4200]) ).
fof(f4202,plain,
( sQ502_spl
| h4(e11) != e21 ),
inference(component_clause,[status(thm)],[f4200]) ).
fof(f4203,plain,
( ~ sQ502_spl
| ~ sQ390_spl ),
inference(split_clause,[status(thm)],[f739,f3763,f4200]) ).
fof(f4204,definition,
( sQ503_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).
fof(f4205,plain,
( ~ sQ503_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f4204]) ).
fof(f4208,definition,
( sQ504_spl
<=> h4(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ504_spl])],[split_symbol_definition]) ).
fof(f4209,plain,
( ~ sQ504_spl
| h4(e13) = e21 ),
inference(component_clause,[status(thm)],[f4208]) ).
fof(f4225,definition,
( sQ508_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ508_spl])],[split_symbol_definition]) ).
fof(f4226,plain,
( ~ sQ508_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f4225]) ).
fof(f4229,definition,
( sQ509_spl
<=> h4(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f4230,plain,
( ~ sQ509_spl
| h4(e13) = e22 ),
inference(component_clause,[status(thm)],[f4229]) ).
fof(f4233,definition,
( sQ510_spl
<=> h4(e14) = e22 ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f4234,plain,
( ~ sQ510_spl
| h4(e14) = e22 ),
inference(component_clause,[status(thm)],[f4233]) ).
fof(f4235,plain,
( sQ510_spl
| h4(e14) != e22 ),
inference(component_clause,[status(thm)],[f4233]) ).
fof(f4236,plain,
( ~ sQ510_spl
| ~ sQ391_spl ),
inference(split_clause,[status(thm)],[f749,f3766,f4233]) ).
fof(f4238,definition,
( sQ511_spl
<=> h4(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f4239,plain,
( ~ sQ511_spl
| h4(e10) = e23 ),
inference(component_clause,[status(thm)],[f4238]) ).
fof(f4242,definition,
( sQ512_spl
<=> h4(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ512_spl])],[split_symbol_definition]) ).
fof(f4243,plain,
( ~ sQ512_spl
| h4(e11) = e23 ),
inference(component_clause,[status(thm)],[f4242]) ).
fof(f4246,definition,
( sQ513_spl
<=> h4(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ513_spl])],[split_symbol_definition]) ).
fof(f4248,plain,
( sQ513_spl
| h4(e12) != e23 ),
inference(component_clause,[status(thm)],[f4246]) ).
fof(f4249,plain,
( ~ sQ513_spl
| ~ sQ392_spl ),
inference(split_clause,[status(thm)],[f754,f3769,f4246]) ).
fof(f4250,definition,
( sQ514_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ514_spl])],[split_symbol_definition]) ).
fof(f4251,plain,
( ~ sQ514_spl
| h4(e13) = e23 ),
inference(component_clause,[status(thm)],[f4250]) ).
fof(f4267,definition,
( sQ518_spl
<=> h5(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ518_spl])],[split_symbol_definition]) ).
fof(f4268,plain,
( ~ sQ518_spl
| h5(e12) = e20 ),
inference(component_clause,[status(thm)],[f4267]) ).
fof(f4271,definition,
( sQ519_spl
<=> h5(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ519_spl])],[split_symbol_definition]) ).
fof(f4272,plain,
( ~ sQ519_spl
| h5(e13) = e20 ),
inference(component_clause,[status(thm)],[f4271]) ).
fof(f4284,definition,
( sQ522_spl
<=> h5(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ522_spl])],[split_symbol_definition]) ).
fof(f4286,plain,
( sQ522_spl
| h5(e11) != e21 ),
inference(component_clause,[status(thm)],[f4284]) ).
fof(f4288,definition,
( sQ523_spl
<=> h5(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ523_spl])],[split_symbol_definition]) ).
fof(f4289,plain,
( ~ sQ523_spl
| h5(e12) = e21 ),
inference(component_clause,[status(thm)],[f4288]) ).
fof(f4309,definition,
( sQ528_spl
<=> h5(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ528_spl])],[split_symbol_definition]) ).
fof(f4310,plain,
( ~ sQ528_spl
| h5(e12) = e22 ),
inference(component_clause,[status(thm)],[f4309]) ).
fof(f4330,definition,
( sQ533_spl
<=> h5(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ533_spl])],[split_symbol_definition]) ).
fof(f4331,plain,
( ~ sQ533_spl
| h5(e12) = e23 ),
inference(component_clause,[status(thm)],[f4330]) ).
fof(f4343,definition,
( sQ536_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ536_spl])],[split_symbol_definition]) ).
fof(f4346,definition,
( sQ537_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ537_spl])],[split_symbol_definition]) ).
fof(f4349,plain,
( sQ537_spl
| sQ536_spl
| ~ sQ432_spl ),
inference(split_clause,[status(thm)],[f791,f3899,f4343,f4346]) ).
fof(f4355,definition,
( sQ538_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ538_spl])],[split_symbol_definition]) ).
fof(f4358,plain,
( sQ538_spl
| ~ sQ433_spl ),
inference(split_clause,[status(thm)],[f800,f3902,f4355]) ).
fof(f4363,definition,
( sQ539_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ539_spl])],[split_symbol_definition]) ).
fof(f4366,definition,
( sQ540_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ540_spl])],[split_symbol_definition]) ).
fof(f4369,plain,
( sQ540_spl
| sQ539_spl
| ~ sQ434_spl ),
inference(split_clause,[status(thm)],[f810,f3911,f4363,f4366]) ).
fof(f4375,definition,
( sQ541_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ541_spl])],[split_symbol_definition]) ).
fof(f4378,plain,
( sQ541_spl
| ~ sQ435_spl ),
inference(split_clause,[status(thm)],[f819,f3914,f4375]) ).
fof(f4383,definition,
( sQ542_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ542_spl])],[split_symbol_definition]) ).
fof(f4386,definition,
( sQ543_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f4389,plain,
( sQ543_spl
| sQ542_spl
| ~ sQ536_spl ),
inference(split_clause,[status(thm)],[f829,f4343,f4383,f4386]) ).
fof(f4395,definition,
( sQ544_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f4398,plain,
( sQ544_spl
| ~ sQ537_spl ),
inference(split_clause,[status(thm)],[f838,f4346,f4395]) ).
fof(f4403,definition,
( sQ545_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ545_spl])],[split_symbol_definition]) ).
fof(f4406,plain,
( sQ545_spl
| ~ sQ538_spl ),
inference(split_clause,[status(thm)],[f846,f4355,f4403]) ).
fof(f4411,definition,
( sQ546_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ546_spl])],[split_symbol_definition]) ).
fof(f4414,definition,
( sQ547_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f4417,plain,
( sQ547_spl
| sQ546_spl
| ~ sQ539_spl ),
inference(split_clause,[status(thm)],[f856,f4363,f4411,f4414]) ).
fof(f4423,definition,
( sQ548_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f4426,plain,
( sQ548_spl
| ~ sQ540_spl ),
inference(split_clause,[status(thm)],[f865,f4366,f4423]) ).
fof(f4431,definition,
( sQ549_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).
fof(f4434,plain,
( sQ549_spl
| ~ sQ541_spl ),
inference(split_clause,[status(thm)],[f873,f4375,f4431]) ).
fof(f4439,definition,
( sQ550_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).
fof(f4442,plain,
( sQ550_spl
| ~ sQ542_spl ),
inference(split_clause,[status(thm)],[f881,f4383,f4439]) ).
fof(f4447,definition,
( sQ551_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).
fof(f4450,plain,
( sQ551_spl
| ~ sQ543_spl ),
inference(split_clause,[status(thm)],[f889,f4386,f4447]) ).
fof(f4455,definition,
( sQ552_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ552_spl])],[split_symbol_definition]) ).
fof(f4458,plain,
( sQ552_spl
| ~ sQ544_spl ),
inference(split_clause,[status(thm)],[f897,f4395,f4455]) ).
fof(f4463,definition,
( sQ553_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ553_spl])],[split_symbol_definition]) ).
fof(f4466,plain,
( sQ553_spl
| ~ sQ545_spl ),
inference(split_clause,[status(thm)],[f905,f4403,f4463]) ).
fof(f4471,definition,
( sQ554_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ554_spl])],[split_symbol_definition]) ).
fof(f4474,plain,
( sQ554_spl
| ~ sQ546_spl ),
inference(split_clause,[status(thm)],[f913,f4411,f4471]) ).
fof(f4479,definition,
( sQ555_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ555_spl])],[split_symbol_definition]) ).
fof(f4482,plain,
( sQ555_spl
| ~ sQ547_spl ),
inference(split_clause,[status(thm)],[f921,f4414,f4479]) ).
fof(f4483,plain,
( sQ238_spl
| ~ sQ246_spl
| ~ sQ547_spl ),
inference(split_clause,[status(thm)],[f922,f4414,f3163,f3137]) ).
fof(f4487,definition,
( sQ556_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ556_spl])],[split_symbol_definition]) ).
fof(f4490,plain,
( sQ556_spl
| ~ sQ548_spl ),
inference(split_clause,[status(thm)],[f929,f4423,f4487]) ).
fof(f4495,definition,
( sQ557_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ557_spl])],[split_symbol_definition]) ).
fof(f4498,plain,
( sQ557_spl
| ~ sQ549_spl ),
inference(split_clause,[status(thm)],[f937,f4431,f4495]) ).
fof(f4503,definition,
( sQ558_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ558_spl])],[split_symbol_definition]) ).
fof(f4506,plain,
( sQ558_spl
| ~ sQ550_spl ),
inference(split_clause,[status(thm)],[f945,f4439,f4503]) ).
fof(f4511,definition,
( sQ559_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ559_spl])],[split_symbol_definition]) ).
fof(f4514,plain,
( sQ559_spl
| ~ sQ551_spl ),
inference(split_clause,[status(thm)],[f953,f4447,f4511]) ).
fof(f4519,definition,
( sQ560_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ560_spl])],[split_symbol_definition]) ).
fof(f4522,plain,
( sQ560_spl
| ~ sQ552_spl ),
inference(split_clause,[status(thm)],[f961,f4455,f4519]) ).
fof(f4527,definition,
( sQ561_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ561_spl])],[split_symbol_definition]) ).
fof(f4530,plain,
( sQ561_spl
| ~ sQ553_spl ),
inference(split_clause,[status(thm)],[f969,f4463,f4527]) ).
fof(f4535,definition,
( sQ562_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ562_spl])],[split_symbol_definition]) ).
fof(f4538,plain,
( sQ562_spl
| ~ sQ554_spl ),
inference(split_clause,[status(thm)],[f977,f4471,f4535]) ).
fof(f4543,definition,
( sQ563_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ563_spl])],[split_symbol_definition]) ).
fof(f4546,plain,
( sQ563_spl
| ~ sQ555_spl ),
inference(split_clause,[status(thm)],[f985,f4479,f4543]) ).
fof(f4551,definition,
( sQ564_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ564_spl])],[split_symbol_definition]) ).
fof(f4554,plain,
( sQ564_spl
| ~ sQ556_spl ),
inference(split_clause,[status(thm)],[f993,f4487,f4551]) ).
fof(f4559,definition,
( sQ565_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ565_spl])],[split_symbol_definition]) ).
fof(f4562,plain,
( sQ565_spl
| ~ sQ557_spl ),
inference(split_clause,[status(thm)],[f1001,f4495,f4559]) ).
fof(f4567,definition,
( sQ566_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ566_spl])],[split_symbol_definition]) ).
fof(f4570,plain,
( sQ566_spl
| ~ sQ558_spl ),
inference(split_clause,[status(thm)],[f1009,f4503,f4567]) ).
fof(f4575,definition,
( sQ567_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ567_spl])],[split_symbol_definition]) ).
fof(f4578,plain,
( sQ567_spl
| ~ sQ559_spl ),
inference(split_clause,[status(thm)],[f1017,f4511,f4575]) ).
fof(f4583,definition,
( sQ568_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition]) ).
fof(f4586,plain,
( sQ568_spl
| ~ sQ560_spl ),
inference(split_clause,[status(thm)],[f1025,f4519,f4583]) ).
fof(f4591,definition,
( sQ569_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ569_spl])],[split_symbol_definition]) ).
fof(f4594,plain,
( sQ569_spl
| ~ sQ561_spl ),
inference(split_clause,[status(thm)],[f1033,f4527,f4591]) ).
fof(f4599,definition,
( sQ570_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ570_spl])],[split_symbol_definition]) ).
fof(f4602,plain,
( sQ570_spl
| ~ sQ562_spl ),
inference(split_clause,[status(thm)],[f1041,f4535,f4599]) ).
fof(f4607,definition,
( sQ571_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ571_spl])],[split_symbol_definition]) ).
fof(f4610,plain,
( sQ571_spl
| ~ sQ563_spl ),
inference(split_clause,[status(thm)],[f1049,f4543,f4607]) ).
fof(f4615,definition,
( sQ572_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ572_spl])],[split_symbol_definition]) ).
fof(f4618,plain,
( sQ572_spl
| ~ sQ564_spl ),
inference(split_clause,[status(thm)],[f1057,f4551,f4615]) ).
fof(f4623,definition,
( sQ573_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ573_spl])],[split_symbol_definition]) ).
fof(f4626,plain,
( sQ573_spl
| ~ sQ565_spl ),
inference(split_clause,[status(thm)],[f1065,f4559,f4623]) ).
fof(f4631,definition,
( sQ574_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ574_spl])],[split_symbol_definition]) ).
fof(f4634,plain,
( sQ574_spl
| ~ sQ566_spl ),
inference(split_clause,[status(thm)],[f1073,f4567,f4631]) ).
fof(f4639,definition,
( sQ575_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ575_spl])],[split_symbol_definition]) ).
fof(f4642,plain,
( sQ575_spl
| ~ sQ567_spl ),
inference(split_clause,[status(thm)],[f1081,f4575,f4639]) ).
fof(f4647,definition,
( sQ576_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ576_spl])],[split_symbol_definition]) ).
fof(f4650,plain,
( sQ576_spl
| ~ sQ568_spl ),
inference(split_clause,[status(thm)],[f1089,f4583,f4647]) ).
fof(f4655,definition,
( sQ577_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ577_spl])],[split_symbol_definition]) ).
fof(f4658,plain,
( sQ577_spl
| ~ sQ569_spl ),
inference(split_clause,[status(thm)],[f1097,f4591,f4655]) ).
fof(f4663,definition,
( sQ578_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition]) ).
fof(f4666,plain,
( sQ578_spl
| ~ sQ570_spl ),
inference(split_clause,[status(thm)],[f1105,f4599,f4663]) ).
fof(f4671,definition,
( sQ579_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ579_spl])],[split_symbol_definition]) ).
fof(f4674,plain,
( sQ579_spl
| ~ sQ571_spl ),
inference(split_clause,[status(thm)],[f1113,f4607,f4671]) ).
fof(f4679,definition,
( sQ580_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ580_spl])],[split_symbol_definition]) ).
fof(f4682,plain,
( sQ580_spl
| ~ sQ572_spl ),
inference(split_clause,[status(thm)],[f1121,f4615,f4679]) ).
fof(f4687,definition,
( sQ581_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ581_spl])],[split_symbol_definition]) ).
fof(f4690,plain,
( sQ581_spl
| ~ sQ573_spl ),
inference(split_clause,[status(thm)],[f1129,f4623,f4687]) ).
fof(f4695,definition,
( sQ582_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ582_spl])],[split_symbol_definition]) ).
fof(f4698,plain,
( sQ582_spl
| ~ sQ574_spl ),
inference(split_clause,[status(thm)],[f1137,f4631,f4695]) ).
fof(f4703,definition,
( sQ583_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ583_spl])],[split_symbol_definition]) ).
fof(f4706,plain,
( sQ583_spl
| ~ sQ575_spl ),
inference(split_clause,[status(thm)],[f1145,f4639,f4703]) ).
fof(f4711,definition,
( sQ584_spl
<=> sP74_prd ),
introduced(definition,[new_symbols(definition,[sQ584_spl])],[split_symbol_definition]) ).
fof(f4714,plain,
( sQ584_spl
| ~ sQ576_spl ),
inference(split_clause,[status(thm)],[f1153,f4647,f4711]) ).
fof(f4719,definition,
( sQ585_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ585_spl])],[split_symbol_definition]) ).
fof(f4722,plain,
( sQ585_spl
| ~ sQ577_spl ),
inference(split_clause,[status(thm)],[f1161,f4655,f4719]) ).
fof(f4727,definition,
( sQ586_spl
<=> sP76_prd ),
introduced(definition,[new_symbols(definition,[sQ586_spl])],[split_symbol_definition]) ).
fof(f4730,plain,
( sQ586_spl
| ~ sQ578_spl ),
inference(split_clause,[status(thm)],[f1169,f4663,f4727]) ).
fof(f4735,definition,
( sQ587_spl
<=> sP77_prd ),
introduced(definition,[new_symbols(definition,[sQ587_spl])],[split_symbol_definition]) ).
fof(f4738,plain,
( sQ587_spl
| ~ sQ579_spl ),
inference(split_clause,[status(thm)],[f1177,f4671,f4735]) ).
fof(f4743,definition,
( sQ588_spl
<=> sP78_prd ),
introduced(definition,[new_symbols(definition,[sQ588_spl])],[split_symbol_definition]) ).
fof(f4746,plain,
( sQ588_spl
| ~ sQ580_spl ),
inference(split_clause,[status(thm)],[f1185,f4679,f4743]) ).
fof(f4751,definition,
( sQ589_spl
<=> sP79_prd ),
introduced(definition,[new_symbols(definition,[sQ589_spl])],[split_symbol_definition]) ).
fof(f4754,plain,
( sQ589_spl
| ~ sQ581_spl ),
inference(split_clause,[status(thm)],[f1193,f4687,f4751]) ).
fof(f4763,plain,
( sQ79_spl
| ~ sQ95_spl
| ~ sQ582_spl ),
inference(split_clause,[status(thm)],[f1202,f4695,f2630,f2578]) ).
fof(f4767,definition,
( sQ591_spl
<=> sP81_prd ),
introduced(definition,[new_symbols(definition,[sQ591_spl])],[split_symbol_definition]) ).
fof(f4770,plain,
( sQ591_spl
| ~ sQ583_spl ),
inference(split_clause,[status(thm)],[f1209,f4703,f4767]) ).
fof(f4775,definition,
( sQ592_spl
<=> sP82_prd ),
introduced(definition,[new_symbols(definition,[sQ592_spl])],[split_symbol_definition]) ).
fof(f4778,plain,
( sQ592_spl
| ~ sQ584_spl ),
inference(split_clause,[status(thm)],[f1217,f4711,f4775]) ).
fof(f4783,definition,
( sQ593_spl
<=> sP83_prd ),
introduced(definition,[new_symbols(definition,[sQ593_spl])],[split_symbol_definition]) ).
fof(f4786,plain,
( sQ593_spl
| ~ sQ585_spl ),
inference(split_clause,[status(thm)],[f1225,f4719,f4783]) ).
fof(f4791,definition,
( sQ594_spl
<=> sP84_prd ),
introduced(definition,[new_symbols(definition,[sQ594_spl])],[split_symbol_definition]) ).
fof(f4794,plain,
( sQ594_spl
| ~ sQ586_spl ),
inference(split_clause,[status(thm)],[f1233,f4727,f4791]) ).
fof(f4799,definition,
( sQ595_spl
<=> sP85_prd ),
introduced(definition,[new_symbols(definition,[sQ595_spl])],[split_symbol_definition]) ).
fof(f4802,plain,
( sQ595_spl
| ~ sQ587_spl ),
inference(split_clause,[status(thm)],[f1241,f4735,f4799]) ).
fof(f4807,definition,
( sQ596_spl
<=> sP86_prd ),
introduced(definition,[new_symbols(definition,[sQ596_spl])],[split_symbol_definition]) ).
fof(f4810,plain,
( sQ596_spl
| ~ sQ588_spl ),
inference(split_clause,[status(thm)],[f1249,f4743,f4807]) ).
fof(f4815,definition,
( sQ597_spl
<=> sP87_prd ),
introduced(definition,[new_symbols(definition,[sQ597_spl])],[split_symbol_definition]) ).
fof(f4818,plain,
( sQ597_spl
| ~ sQ589_spl ),
inference(split_clause,[status(thm)],[f1257,f4751,f4815]) ).
fof(f4831,definition,
( sQ599_spl
<=> sP89_prd ),
introduced(definition,[new_symbols(definition,[sQ599_spl])],[split_symbol_definition]) ).
fof(f4834,plain,
( sQ599_spl
| ~ sQ591_spl ),
inference(split_clause,[status(thm)],[f1273,f4767,f4831]) ).
fof(f4839,definition,
( sQ600_spl
<=> sP90_prd ),
introduced(definition,[new_symbols(definition,[sQ600_spl])],[split_symbol_definition]) ).
fof(f4842,plain,
( sQ600_spl
| ~ sQ592_spl ),
inference(split_clause,[status(thm)],[f1281,f4775,f4839]) ).
fof(f4851,plain,
( sQ90_spl
| ~ sQ78_spl
| ~ sQ593_spl ),
inference(split_clause,[status(thm)],[f1290,f4783,f2575,f2614]) ).
fof(f4855,definition,
( sQ602_spl
<=> sP92_prd ),
introduced(definition,[new_symbols(definition,[sQ602_spl])],[split_symbol_definition]) ).
fof(f4858,plain,
( sQ602_spl
| ~ sQ594_spl ),
inference(split_clause,[status(thm)],[f1297,f4791,f4855]) ).
fof(f4863,definition,
( sQ603_spl
<=> sP93_prd ),
introduced(definition,[new_symbols(definition,[sQ603_spl])],[split_symbol_definition]) ).
fof(f4866,plain,
( sQ603_spl
| ~ sQ595_spl ),
inference(split_clause,[status(thm)],[f1305,f4799,f4863]) ).
fof(f4867,plain,
( sQ212_spl
| ~ sQ216_spl
| ~ sQ595_spl ),
inference(split_clause,[status(thm)],[f1306,f4799,f3067,f3054]) ).
fof(f4871,definition,
( sQ604_spl
<=> sP94_prd ),
introduced(definition,[new_symbols(definition,[sQ604_spl])],[split_symbol_definition]) ).
fof(f4874,plain,
( sQ604_spl
| ~ sQ596_spl ),
inference(split_clause,[status(thm)],[f1313,f4807,f4871]) ).
fof(f4879,definition,
( sQ605_spl
<=> sP95_prd ),
introduced(definition,[new_symbols(definition,[sQ605_spl])],[split_symbol_definition]) ).
fof(f4883,plain,
( sQ220_spl
| ~ sQ208_spl
| ~ sQ597_spl ),
inference(split_clause,[status(thm)],[f1322,f4815,f3041,f3080]) ).
fof(f4895,definition,
( sQ607_spl
<=> sP97_prd ),
introduced(definition,[new_symbols(definition,[sQ607_spl])],[split_symbol_definition]) ).
fof(f4898,plain,
( sQ607_spl
| ~ sQ599_spl ),
inference(split_clause,[status(thm)],[f1337,f4831,f4895]) ).
fof(f4903,definition,
( sQ608_spl
<=> sP98_prd ),
introduced(definition,[new_symbols(definition,[sQ608_spl])],[split_symbol_definition]) ).
fof(f4906,plain,
( sQ608_spl
| ~ sQ600_spl ),
inference(split_clause,[status(thm)],[f1345,f4839,f4903]) ).
fof(f4919,definition,
( sQ610_spl
<=> sP100_prd ),
introduced(definition,[new_symbols(definition,[sQ610_spl])],[split_symbol_definition]) ).
fof(f4922,plain,
( sQ610_spl
| ~ sQ602_spl ),
inference(split_clause,[status(thm)],[f1361,f4855,f4919]) ).
fof(f4927,definition,
( sQ611_spl
<=> sP101_prd ),
introduced(definition,[new_symbols(definition,[sQ611_spl])],[split_symbol_definition]) ).
fof(f4930,plain,
( sQ611_spl
| ~ sQ603_spl ),
inference(split_clause,[status(thm)],[f1369,f4863,f4927]) ).
fof(f4935,definition,
( sQ612_spl
<=> sP102_prd ),
introduced(definition,[new_symbols(definition,[sQ612_spl])],[split_symbol_definition]) ).
fof(f4938,plain,
( sQ612_spl
| ~ sQ604_spl ),
inference(split_clause,[status(thm)],[f1377,f4871,f4935]) ).
fof(f4943,definition,
( sQ613_spl
<=> sP103_prd ),
introduced(definition,[new_symbols(definition,[sQ613_spl])],[split_symbol_definition]) ).
fof(f4946,plain,
( sQ613_spl
| ~ sQ605_spl ),
inference(split_clause,[status(thm)],[f1385,f4879,f4943]) ).
fof(f4959,definition,
( sQ615_spl
<=> sP105_prd ),
introduced(definition,[new_symbols(definition,[sQ615_spl])],[split_symbol_definition]) ).
fof(f4962,plain,
( sQ615_spl
| ~ sQ607_spl ),
inference(split_clause,[status(thm)],[f1401,f4895,f4959]) ).
fof(f4967,definition,
( sQ616_spl
<=> sP106_prd ),
introduced(definition,[new_symbols(definition,[sQ616_spl])],[split_symbol_definition]) ).
fof(f4970,plain,
( sQ616_spl
| ~ sQ608_spl ),
inference(split_clause,[status(thm)],[f1409,f4903,f4967]) ).
fof(f4983,definition,
( sQ618_spl
<=> sP108_prd ),
introduced(definition,[new_symbols(definition,[sQ618_spl])],[split_symbol_definition]) ).
fof(f4986,plain,
( sQ618_spl
| ~ sQ610_spl ),
inference(split_clause,[status(thm)],[f1425,f4919,f4983]) ).
fof(f4991,definition,
( sQ619_spl
<=> sP109_prd ),
introduced(definition,[new_symbols(definition,[sQ619_spl])],[split_symbol_definition]) ).
fof(f4994,plain,
( sQ619_spl
| ~ sQ611_spl ),
inference(split_clause,[status(thm)],[f1433,f4927,f4991]) ).
fof(f4999,definition,
( sQ620_spl
<=> sP110_prd ),
introduced(definition,[new_symbols(definition,[sQ620_spl])],[split_symbol_definition]) ).
fof(f5002,plain,
( sQ620_spl
| ~ sQ612_spl ),
inference(split_clause,[status(thm)],[f1441,f4935,f4999]) ).
fof(f5007,definition,
( sQ621_spl
<=> sP111_prd ),
introduced(definition,[new_symbols(definition,[sQ621_spl])],[split_symbol_definition]) ).
fof(f5010,plain,
( sQ621_spl
| ~ sQ613_spl ),
inference(split_clause,[status(thm)],[f1449,f4943,f5007]) ).
fof(f5023,definition,
( sQ623_spl
<=> sP113_prd ),
introduced(definition,[new_symbols(definition,[sQ623_spl])],[split_symbol_definition]) ).
fof(f5026,plain,
( sQ623_spl
| ~ sQ615_spl ),
inference(split_clause,[status(thm)],[f1465,f4959,f5023]) ).
fof(f5031,definition,
( sQ624_spl
<=> sP114_prd ),
introduced(definition,[new_symbols(definition,[sQ624_spl])],[split_symbol_definition]) ).
fof(f5034,plain,
( sQ624_spl
| ~ sQ616_spl ),
inference(split_clause,[status(thm)],[f1473,f4967,f5031]) ).
fof(f5047,definition,
( sQ626_spl
<=> sP116_prd ),
introduced(definition,[new_symbols(definition,[sQ626_spl])],[split_symbol_definition]) ).
fof(f5050,plain,
( sQ626_spl
| ~ sQ618_spl ),
inference(split_clause,[status(thm)],[f1489,f4983,f5047]) ).
fof(f5055,definition,
( sQ627_spl
<=> sP117_prd ),
introduced(definition,[new_symbols(definition,[sQ627_spl])],[split_symbol_definition]) ).
fof(f5058,plain,
( sQ627_spl
| ~ sQ619_spl ),
inference(split_clause,[status(thm)],[f1497,f4991,f5055]) ).
fof(f5059,plain,
( sQ189_spl
| ~ sQ201_spl
| ~ sQ619_spl ),
inference(split_clause,[status(thm)],[f1498,f4991,f3019,f2980]) ).
fof(f5063,definition,
( sQ628_spl
<=> sP118_prd ),
introduced(definition,[new_symbols(definition,[sQ628_spl])],[split_symbol_definition]) ).
fof(f5066,plain,
( sQ628_spl
| ~ sQ620_spl ),
inference(split_clause,[status(thm)],[f1505,f4999,f5063]) ).
fof(f5075,plain,
( sQ197_spl
| ~ sQ193_spl
| ~ sQ621_spl ),
inference(split_clause,[status(thm)],[f1514,f5007,f2993,f3006]) ).
fof(f5087,definition,
( sQ631_spl
<=> sP121_prd ),
introduced(definition,[new_symbols(definition,[sQ631_spl])],[split_symbol_definition]) ).
fof(f5090,plain,
( sQ631_spl
| ~ sQ623_spl ),
inference(split_clause,[status(thm)],[f1529,f5023,f5087]) ).
fof(f5091,plain,
( sQ58_spl
| ~ sQ66_spl
| ~ sQ623_spl ),
inference(split_clause,[status(thm)],[f1530,f5023,f2537,f2511]) ).
fof(f5095,definition,
( sQ632_spl
<=> sP122_prd ),
introduced(definition,[new_symbols(definition,[sQ632_spl])],[split_symbol_definition]) ).
fof(f5098,plain,
( sQ632_spl
| ~ sQ624_spl ),
inference(split_clause,[status(thm)],[f1537,f5031,f5095]) ).
fof(f5111,definition,
( sQ634_spl
<=> sP124_prd ),
introduced(definition,[new_symbols(definition,[sQ634_spl])],[split_symbol_definition]) ).
fof(f5114,plain,
( sQ634_spl
| ~ sQ626_spl ),
inference(split_clause,[status(thm)],[f1553,f5047,f5111]) ).
fof(f5119,definition,
( sQ635_spl
<=> sP125_prd ),
introduced(definition,[new_symbols(definition,[sQ635_spl])],[split_symbol_definition]) ).
fof(f5122,plain,
( sQ635_spl
| ~ sQ627_spl ),
inference(split_clause,[status(thm)],[f1561,f5055,f5119]) ).
fof(f5123,plain,
( sQ188_spl
| ~ sQ196_spl
| ~ sQ627_spl ),
inference(split_clause,[status(thm)],[f1562,f5055,f3003,f2977]) ).
fof(f5127,definition,
( sQ636_spl
<=> sP126_prd ),
introduced(definition,[new_symbols(definition,[sQ636_spl])],[split_symbol_definition]) ).
fof(f5130,plain,
( sQ636_spl
| ~ sQ628_spl ),
inference(split_clause,[status(thm)],[f1569,f5063,f5127]) ).
fof(f5151,definition,
( sQ639_spl
<=> sP129_prd ),
introduced(definition,[new_symbols(definition,[sQ639_spl])],[split_symbol_definition]) ).
fof(f5154,plain,
( sQ639_spl
| ~ sQ631_spl ),
inference(split_clause,[status(thm)],[f1593,f5087,f5151]) ).
fof(f5159,definition,
( sQ640_spl
<=> sP130_prd ),
introduced(definition,[new_symbols(definition,[sQ640_spl])],[split_symbol_definition]) ).
fof(f5162,plain,
( sQ640_spl
| ~ sQ632_spl ),
inference(split_clause,[status(thm)],[f1601,f5095,f5159]) ).
fof(f5175,definition,
( sQ642_spl
<=> sP132_prd ),
introduced(definition,[new_symbols(definition,[sQ642_spl])],[split_symbol_definition]) ).
fof(f5178,plain,
( sQ642_spl
| ~ sQ634_spl ),
inference(split_clause,[status(thm)],[f1617,f5111,f5175]) ).
fof(f5183,definition,
( sQ643_spl
<=> sP133_prd ),
introduced(definition,[new_symbols(definition,[sQ643_spl])],[split_symbol_definition]) ).
fof(f5186,plain,
( sQ643_spl
| ~ sQ635_spl ),
inference(split_clause,[status(thm)],[f1625,f5119,f5183]) ).
fof(f5191,definition,
( sQ644_spl
<=> sP134_prd ),
introduced(definition,[new_symbols(definition,[sQ644_spl])],[split_symbol_definition]) ).
fof(f5194,plain,
( sQ644_spl
| ~ sQ636_spl ),
inference(split_clause,[status(thm)],[f1633,f5127,f5191]) ).
fof(f5215,definition,
( sQ647_spl
<=> sP137_prd ),
introduced(definition,[new_symbols(definition,[sQ647_spl])],[split_symbol_definition]) ).
fof(f5218,plain,
( sQ647_spl
| ~ sQ639_spl ),
inference(split_clause,[status(thm)],[f1657,f5151,f5215]) ).
fof(f5227,plain,
( sQ60_spl
| ~ sQ52_spl
| ~ sQ640_spl ),
inference(split_clause,[status(thm)],[f1666,f5159,f2492,f2518]) ).
fof(f5239,definition,
( sQ650_spl
<=> sP140_prd ),
introduced(definition,[new_symbols(definition,[sQ650_spl])],[split_symbol_definition]) ).
fof(f5242,plain,
( sQ650_spl
| ~ sQ642_spl ),
inference(split_clause,[status(thm)],[f1681,f5175,f5239]) ).
fof(f5247,definition,
( sQ651_spl
<=> sP141_prd ),
introduced(definition,[new_symbols(definition,[sQ651_spl])],[split_symbol_definition]) ).
fof(f5250,plain,
( sQ651_spl
| ~ sQ643_spl ),
inference(split_clause,[status(thm)],[f1689,f5183,f5247]) ).
fof(f5255,definition,
( sQ652_spl
<=> sP142_prd ),
introduced(definition,[new_symbols(definition,[sQ652_spl])],[split_symbol_definition]) ).
fof(f5259,plain,
( sQ190_spl
| ~ sQ182_spl
| ~ sQ644_spl ),
inference(split_clause,[status(thm)],[f1698,f5191,f2958,f2984]) ).
fof(f5279,definition,
( sQ655_spl
<=> sP145_prd ),
introduced(definition,[new_symbols(definition,[sQ655_spl])],[split_symbol_definition]) ).
fof(f5282,plain,
( sQ655_spl
| ~ sQ647_spl ),
inference(split_clause,[status(thm)],[f1721,f5215,f5279]) ).
fof(f5303,definition,
( sQ658_spl
<=> sP148_prd ),
introduced(definition,[new_symbols(definition,[sQ658_spl])],[split_symbol_definition]) ).
fof(f5306,plain,
( sQ658_spl
| ~ sQ650_spl ),
inference(split_clause,[status(thm)],[f1745,f5239,f5303]) ).
fof(f5311,definition,
( sQ659_spl
<=> sP149_prd ),
introduced(definition,[new_symbols(definition,[sQ659_spl])],[split_symbol_definition]) ).
fof(f5314,plain,
( sQ659_spl
| ~ sQ651_spl ),
inference(split_clause,[status(thm)],[f1753,f5247,f5311]) ).
fof(f5319,definition,
( sQ660_spl
<=> sP150_prd ),
introduced(definition,[new_symbols(definition,[sQ660_spl])],[split_symbol_definition]) ).
fof(f5322,plain,
( sQ660_spl
| ~ sQ652_spl ),
inference(split_clause,[status(thm)],[f1761,f5255,f5319]) ).
fof(f5343,definition,
( sQ663_spl
<=> sP153_prd ),
introduced(definition,[new_symbols(definition,[sQ663_spl])],[split_symbol_definition]) ).
fof(f5346,plain,
( sQ663_spl
| ~ sQ655_spl ),
inference(split_clause,[status(thm)],[f1785,f5279,f5343]) ).
fof(f5347,plain,
( sQ34_spl
| ~ sQ46_spl
| ~ sQ655_spl ),
inference(split_clause,[status(thm)],[f1786,f5279,f2473,f2434]) ).
fof(f5367,definition,
( sQ666_spl
<=> sP156_prd ),
introduced(definition,[new_symbols(definition,[sQ666_spl])],[split_symbol_definition]) ).
fof(f5370,plain,
( sQ666_spl
| ~ sQ658_spl ),
inference(split_clause,[status(thm)],[f1809,f5303,f5367]) ).
fof(f5375,definition,
( sQ667_spl
<=> sP157_prd ),
introduced(definition,[new_symbols(definition,[sQ667_spl])],[split_symbol_definition]) ).
fof(f5378,plain,
( sQ667_spl
| ~ sQ659_spl ),
inference(split_clause,[status(thm)],[f1817,f5311,f5375]) ).
fof(f5379,plain,
( sQ164_spl
| ~ sQ176_spl
| ~ sQ659_spl ),
inference(split_clause,[status(thm)],[f1818,f5311,f2939,f2900]) ).
fof(f5387,plain,
( sQ168_spl
| ~ sQ172_spl
| ~ sQ660_spl ),
inference(split_clause,[status(thm)],[f1826,f5319,f2926,f2913]) ).
fof(f5407,definition,
( sQ671_spl
<=> sP161_prd ),
introduced(definition,[new_symbols(definition,[sQ671_spl])],[split_symbol_definition]) ).
fof(f5410,plain,
( sQ671_spl
| ~ sQ663_spl ),
inference(split_clause,[status(thm)],[f1849,f5343,f5407]) ).
fof(f5411,plain,
( sQ33_spl
| ~ sQ41_spl
| ~ sQ663_spl ),
inference(split_clause,[status(thm)],[f1850,f5343,f2457,f2431]) ).
fof(f5431,definition,
( sQ674_spl
<=> sP164_prd ),
introduced(definition,[new_symbols(definition,[sQ674_spl])],[split_symbol_definition]) ).
fof(f5434,plain,
( sQ674_spl
| ~ sQ666_spl ),
inference(split_clause,[status(thm)],[f1873,f5367,f5431]) ).
fof(f5439,definition,
( sQ675_spl
<=> sP165_prd ),
introduced(definition,[new_symbols(definition,[sQ675_spl])],[split_symbol_definition]) ).
fof(f5442,plain,
( sQ675_spl
| ~ sQ667_spl ),
inference(split_clause,[status(thm)],[f1881,f5375,f5439]) ).
fof(f5443,plain,
( sQ163_spl
| ~ sQ171_spl
| ~ sQ667_spl ),
inference(split_clause,[status(thm)],[f1882,f5375,f2923,f2897]) ).
fof(f5471,definition,
( sQ679_spl
<=> sP169_prd ),
introduced(definition,[new_symbols(definition,[sQ679_spl])],[split_symbol_definition]) ).
fof(f5474,plain,
( sQ679_spl
| ~ sQ671_spl ),
inference(split_clause,[status(thm)],[f1913,f5407,f5471]) ).
fof(f5495,definition,
( sQ682_spl
<=> sP172_prd ),
introduced(definition,[new_symbols(definition,[sQ682_spl])],[split_symbol_definition]) ).
fof(f5498,plain,
( sQ682_spl
| ~ sQ674_spl ),
inference(split_clause,[status(thm)],[f1937,f5431,f5495]) ).
fof(f5503,definition,
( sQ683_spl
<=> sP173_prd ),
introduced(definition,[new_symbols(definition,[sQ683_spl])],[split_symbol_definition]) ).
fof(f5506,plain,
( sQ683_spl
| ~ sQ675_spl ),
inference(split_clause,[status(thm)],[f1945,f5439,f5503]) ).
fof(f5535,definition,
( sQ687_spl
<=> sP177_prd ),
introduced(definition,[new_symbols(definition,[sQ687_spl])],[split_symbol_definition]) ).
fof(f5538,plain,
( sQ687_spl
| ~ sQ679_spl ),
inference(split_clause,[status(thm)],[f1977,f5471,f5535]) ).
fof(f5559,definition,
( sQ690_spl
<=> sP180_prd ),
introduced(definition,[new_symbols(definition,[sQ690_spl])],[split_symbol_definition]) ).
fof(f5562,plain,
( sQ690_spl
| ~ sQ682_spl ),
inference(split_clause,[status(thm)],[f2001,f5495,f5559]) ).
fof(f5567,definition,
( sQ691_spl
<=> sP181_prd ),
introduced(definition,[new_symbols(definition,[sQ691_spl])],[split_symbol_definition]) ).
fof(f5570,plain,
( sQ691_spl
| ~ sQ683_spl ),
inference(split_clause,[status(thm)],[f2009,f5503,f5567]) ).
fof(f5583,definition,
( sQ693_spl
<=> sP183_prd ),
introduced(definition,[new_symbols(definition,[sQ693_spl])],[split_symbol_definition]) ).
fof(f5599,definition,
( sQ695_spl
<=> sP185_prd ),
introduced(definition,[new_symbols(definition,[sQ695_spl])],[split_symbol_definition]) ).
fof(f5602,plain,
( sQ695_spl
| ~ sQ687_spl ),
inference(split_clause,[status(thm)],[f2041,f5535,f5599]) ).
fof(f5623,definition,
( sQ698_spl
<=> sP188_prd ),
introduced(definition,[new_symbols(definition,[sQ698_spl])],[split_symbol_definition]) ).
fof(f5628,plain,
( ~ sQ255_spl
| ~ sQ160_spl
| ~ sQ690_spl ),
inference(split_clause,[status(thm)],[f2067,f5559,f2888,f3192]) ).
fof(f5631,definition,
( sQ699_spl
<=> sP189_prd ),
introduced(definition,[new_symbols(definition,[sQ699_spl])],[split_symbol_definition]) ).
fof(f5634,plain,
( sQ699_spl
| ~ sQ691_spl ),
inference(split_clause,[status(thm)],[f2073,f5567,f5631]) ).
fof(f5647,definition,
( sQ701_spl
<=> sP191_prd ),
introduced(definition,[new_symbols(definition,[sQ701_spl])],[split_symbol_definition]) ).
fof(f5654,plain,
( sQ258_spl
| ~ sQ148_spl
| ~ sQ701_spl
| sQ693_spl ),
inference(split_clause,[status(thm)],[f2093,f5583,f5647,f2849,f3201]) ).
fof(f5663,definition,
( sQ703_spl
<=> sP193_prd ),
introduced(definition,[new_symbols(definition,[sQ703_spl])],[split_symbol_definition]) ).
fof(f5666,plain,
( sQ703_spl
| ~ sQ695_spl ),
inference(split_clause,[status(thm)],[f2105,f5599,f5663]) ).
fof(f5687,definition,
( sQ706_spl
<=> sP196_prd ),
introduced(definition,[new_symbols(definition,[sQ706_spl])],[split_symbol_definition]) ).
fof(f5690,plain,
( sQ706_spl
| ~ sQ698_spl ),
inference(split_clause,[status(thm)],[f2129,f5623,f5687]) ).
fof(f5695,definition,
( sQ707_spl
<=> sP197_prd ),
introduced(definition,[new_symbols(definition,[sQ707_spl])],[split_symbol_definition]) ).
fof(f5698,plain,
( sQ707_spl
| ~ sQ699_spl ),
inference(split_clause,[status(thm)],[f2137,f5631,f5695]) ).
fof(f5703,definition,
( sQ708_spl
<=> sP198_prd ),
introduced(definition,[new_symbols(definition,[sQ708_spl])],[split_symbol_definition]) ).
fof(f5711,definition,
( sQ709_spl
<=> sP199_prd ),
introduced(definition,[new_symbols(definition,[sQ709_spl])],[split_symbol_definition]) ).
fof(f5717,plain,
( sQ143_spl
| ~ sQ709_spl
| sQ701_spl ),
inference(split_clause,[status(thm)],[f2156,f5647,f5711,f2833]) ).
fof(f5731,plain,
( sQ8_spl
| ~ sQ16_spl
| ~ sQ703_spl ),
inference(split_clause,[status(thm)],[f2170,f5663,f2377,f2351]) ).
fof(f5751,definition,
( sQ713_spl
<=> sP203_prd ),
introduced(definition,[new_symbols(definition,[sQ713_spl])],[split_symbol_definition]) ).
fof(f5754,plain,
( sQ713_spl
| ~ sQ706_spl ),
inference(split_clause,[status(thm)],[f2194,f5687,f5751]) ).
fof(f5759,definition,
( sQ714_spl
<=> sP204_prd ),
introduced(definition,[new_symbols(definition,[sQ714_spl])],[split_symbol_definition]) ).
fof(f5762,plain,
( sQ714_spl
| ~ sQ707_spl ),
inference(split_clause,[status(thm)],[f2202,f5695,f5759]) ).
fof(f5767,definition,
( sQ715_spl
<=> sP205_prd ),
introduced(definition,[new_symbols(definition,[sQ715_spl])],[split_symbol_definition]) ).
fof(f5774,plain,
( sQ257_spl
| ~ sQ142_spl
| ~ sQ715_spl
| sQ708_spl ),
inference(split_clause,[status(thm)],[f2214,f5703,f5767,f2830,f3198]) ).
fof(f5779,plain,
( sQ138_spl
| sQ133_spl
| sQ709_spl ),
inference(split_clause,[status(thm)],[f2220,f5711,f2801,f2817]) ).
fof(f5807,definition,
( sQ718_spl
<=> sP208_prd ),
introduced(definition,[new_symbols(definition,[sQ718_spl])],[split_symbol_definition]) ).
fof(f5810,plain,
( sQ718_spl
| ~ sQ713_spl ),
inference(split_clause,[status(thm)],[f2252,f5751,f5807]) ).
fof(f5815,definition,
( sQ719_spl
<=> sP209_prd ),
introduced(definition,[new_symbols(definition,[sQ719_spl])],[split_symbol_definition]) ).
fof(f5818,plain,
( sQ719_spl
| ~ sQ714_spl ),
inference(split_clause,[status(thm)],[f2260,f5759,f5815]) ).
fof(f5827,plain,
( sQ137_spl
| sQ132_spl
| sQ715_spl ),
inference(split_clause,[status(thm)],[f2270,f5767,f2798,f2814]) ).
fof(f5847,definition,
( sQ721_spl
<=> sP211_prd ),
introduced(definition,[new_symbols(definition,[sQ721_spl])],[split_symbol_definition]) ).
fof(f5850,plain,
( sQ721_spl
| ~ sQ718_spl ),
inference(split_clause,[status(thm)],[f2294,f5807,f5847]) ).
fof(f5855,plain,
( sQ135_spl
| ~ sQ131_spl
| ~ sQ719_spl ),
inference(split_clause,[status(thm)],[f2300,f5815,f2795,f2808]) ).
fof(f5872,plain,
( ~ sQ255_spl
| ~ sQ130_spl
| ~ sQ721_spl ),
inference(split_clause,[status(thm)],[f2319,f5847,f2792,f3192]) ).
fof(f5883,plain,
( sQ429_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f572,f3889]) ).
fof(f5884,plain,
sQ429_spl,
inference(contradiction_clause,[status(thm)],[f5883]) ).
fof(f5969,plain,
( ~ sQ508_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f567,f4226]) ).
fof(f5970,plain,
( ~ sQ508_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5969,f412]) ).
fof(f5971,plain,
~ sQ508_spl,
inference(contradiction_clause,[status(thm)],[f5970]) ).
fof(f5979,plain,
( ~ sQ503_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f567,f4205]) ).
fof(f5980,plain,
( ~ sQ503_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5979,f410]) ).
fof(f5981,plain,
~ sQ503_spl,
inference(contradiction_clause,[status(thm)],[f5980]) ).
fof(f5989,plain,
( ~ sQ498_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f567,f4184]) ).
fof(f5990,plain,
( ~ sQ498_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5989,f407]) ).
fof(f5991,plain,
~ sQ498_spl,
inference(contradiction_clause,[status(thm)],[f5990]) ).
fof(f5993,plain,
( ~ sQ497_spl
| ~ sQ502_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f4201,f4180]) ).
fof(f5994,plain,
( ~ sQ497_spl
| ~ sQ502_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5993,f405]) ).
fof(f5995,plain,
( ~ sQ497_spl
| ~ sQ502_spl ),
inference(contradiction_clause,[status(thm)],[f5994]) ).
fof(f5996,plain,
( ~ sQ496_spl
| ~ sQ501_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f4197,f4176]) ).
fof(f5997,plain,
( ~ sQ496_spl
| ~ sQ501_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5996,f405]) ).
fof(f5998,plain,
( ~ sQ496_spl
| ~ sQ501_spl ),
inference(contradiction_clause,[status(thm)],[f5997]) ).
fof(f6001,plain,
( ~ sQ493_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f562,f4163]) ).
fof(f6002,plain,
( ~ sQ493_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6001,f412]) ).
fof(f6003,plain,
~ sQ493_spl,
inference(contradiction_clause,[status(thm)],[f6002]) ).
fof(f6010,plain,
( ~ sQ489_spl
| ~ sQ494_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f4167,f4146]) ).
fof(f6011,plain,
( ~ sQ489_spl
| ~ sQ494_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6010,f412]) ).
fof(f6012,plain,
( ~ sQ489_spl
| ~ sQ494_spl ),
inference(contradiction_clause,[status(thm)],[f6011]) ).
fof(f6019,plain,
( ~ sQ483_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f562,f4121]) ).
fof(f6020,plain,
( ~ sQ483_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6019,f409]) ).
fof(f6021,plain,
~ sQ483_spl,
inference(contradiction_clause,[status(thm)],[f6020]) ).
fof(f6029,plain,
( ~ sQ478_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f562,f4100]) ).
fof(f6030,plain,
( ~ sQ478_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6029,f406]) ).
fof(f6031,plain,
~ sQ478_spl,
inference(contradiction_clause,[status(thm)],[f6030]) ).
fof(f6033,plain,
( ~ sQ477_spl
| ~ sQ482_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f4117,f4096]) ).
fof(f6034,plain,
( ~ sQ477_spl
| ~ sQ482_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6033,f405]) ).
fof(f6035,plain,
( ~ sQ477_spl
| ~ sQ482_spl ),
inference(contradiction_clause,[status(thm)],[f6034]) ).
fof(f6036,plain,
( ~ sQ476_spl
| ~ sQ481_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f4113,f4092]) ).
fof(f6037,plain,
( ~ sQ476_spl
| ~ sQ481_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6036,f405]) ).
fof(f6038,plain,
( ~ sQ476_spl
| ~ sQ481_spl ),
inference(contradiction_clause,[status(thm)],[f6037]) ).
fof(f6041,plain,
( ~ sQ473_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f557,f4079]) ).
fof(f6042,plain,
( ~ sQ473_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6041,f410]) ).
fof(f6043,plain,
~ sQ473_spl,
inference(contradiction_clause,[status(thm)],[f6042]) ).
fof(f6053,plain,
( ~ sQ468_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f557,f4058]) ).
fof(f6054,plain,
( ~ sQ468_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6053,f409]) ).
fof(f6055,plain,
~ sQ468_spl,
inference(contradiction_clause,[status(thm)],[f6054]) ).
fof(f6060,plain,
( sQ386_spl
| h4(op1(e14,e12)) != op2(h4(e14),e23) ),
inference(forward_demodulation,[status(thm)],[f567,f3753]) ).
fof(f6067,plain,
( ~ sQ459_spl
| ~ sQ464_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f4041,f4020]) ).
fof(f6068,plain,
( ~ sQ459_spl
| ~ sQ464_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6067,f405]) ).
fof(f6069,plain,
( ~ sQ459_spl
| ~ sQ464_spl ),
inference(contradiction_clause,[status(thm)],[f6068]) ).
fof(f6070,plain,
( ~ sQ458_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f557,f4016]) ).
fof(f6071,plain,
( ~ sQ458_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6070,f405]) ).
fof(f6072,plain,
~ sQ458_spl,
inference(contradiction_clause,[status(thm)],[f6071]) ).
fof(f6074,plain,
( ~ sQ457_spl
| ~ sQ462_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f4033,f4012]) ).
fof(f6075,plain,
( ~ sQ457_spl
| ~ sQ462_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6074,f405]) ).
fof(f6076,plain,
( ~ sQ457_spl
| ~ sQ462_spl ),
inference(contradiction_clause,[status(thm)],[f6075]) ).
fof(f6082,plain,
( ~ sQ453_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f552,f3995]) ).
fof(f6083,plain,
( ~ sQ453_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6082,f407]) ).
fof(f6084,plain,
~ sQ453_spl,
inference(contradiction_clause,[status(thm)],[f6083]) ).
fof(f6094,plain,
( ~ sQ448_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f552,f3974]) ).
fof(f6095,plain,
( ~ sQ448_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6094,f406]) ).
fof(f6096,plain,
~ sQ448_spl,
inference(contradiction_clause,[status(thm)],[f6095]) ).
fof(f6104,plain,
( ~ sQ443_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f552,f3953]) ).
fof(f6105,plain,
( ~ sQ443_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6104,f405]) ).
fof(f6106,plain,
~ sQ443_spl,
inference(contradiction_clause,[status(thm)],[f6105]) ).
fof(f6115,plain,
( sQ381_spl
| h4(op1(e13,e12)) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f567,f3738]) ).
fof(f6132,plain,
( ~ sQ257_spl
| op2(e22,e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f3199,f139]) ).
fof(f6138,plain,
( ~ sQ257_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f6132,f2990,f3198]) ).
fof(f6145,plain,
( sQ378_spl
| h4(op1(e12,e14)) != op2(e23,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f567,f3729]) ).
fof(f6149,plain,
( ~ sQ533_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f572,f4331]) ).
fof(f6150,plain,
( ~ sQ533_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6149,f414]) ).
fof(f6151,plain,
~ sQ533_spl,
inference(contradiction_clause,[status(thm)],[f6150]) ).
fof(f6153,plain,
( sQ377_spl
| h4(op1(e12,e13)) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f567,f3726]) ).
fof(f6159,plain,
( ~ sQ127_spl
| op1(e12,e12) = e12 ),
inference(backward_demodulation,[status(thm)],[f2733,f53]) ).
fof(f6165,plain,
( ~ sQ127_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f6159,f2524,f2732]) ).
fof(f6171,plain,
( sQ376_spl
| h4(op1(e12,e12)) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f567,f3723]) ).
fof(f6172,plain,
( sQ376_spl
| h4(op1(e12,e12)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f567,f6171]) ).
fof(f6190,plain,
( sQ375_spl
| h4(op1(e12,e11)) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f567,f3720]) ).
fof(f6218,plain,
( sQ374_spl
| h4(op1(e12,e10)) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f567,f3717]) ).
fof(f6227,plain,
( ~ sQ484_spl
| ~ sQ494_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f4167,f4125]) ).
fof(f6228,plain,
( ~ sQ484_spl
| ~ sQ494_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6227,f410]) ).
fof(f6229,plain,
( ~ sQ484_spl
| ~ sQ494_spl ),
inference(contradiction_clause,[status(thm)],[f6228]) ).
fof(f6230,plain,
( sQ371_spl
| h4(op1(e11,e12)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f567,f3708]) ).
fof(f6236,plain,
e10 = op1(op1(op1(e12,e12),e12),e11),
inference(backward_demodulation,[status(thm)],[f545,f544]) ).
fof(f6237,plain,
e10 = op1(e11,e11),
inference(forward_demodulation,[status(thm)],[f545,f6236]) ).
fof(f6238,plain,
e11 = op1(e13,e12),
inference(backward_demodulation,[status(thm)],[f546,f545]) ).
fof(f6239,plain,
( sQ376_spl
| h4(e13) != op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f546,f6172]) ).
fof(f6240,plain,
e13 != op1(e12,e14),
inference(backward_demodulation,[status(thm)],[f546,f273]) ).
fof(f6241,plain,
e13 != op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f546,f272]) ).
fof(f6242,plain,
op1(e12,e11) != e13,
inference(backward_demodulation,[status(thm)],[f546,f269]) ).
fof(f6243,plain,
op1(e12,e10) != e13,
inference(backward_demodulation,[status(thm)],[f546,f266]) ).
fof(f6244,plain,
e13 != op1(e14,e12),
inference(backward_demodulation,[status(thm)],[f546,f223]) ).
fof(f6246,plain,
op1(e11,e12) != e13,
inference(backward_demodulation,[status(thm)],[f546,f219]) ).
fof(f6247,plain,
op1(e10,e12) != e13,
inference(backward_demodulation,[status(thm)],[f546,f216]) ).
fof(f6248,plain,
e14 = op1(e13,op1(e12,e12)),
inference(forward_demodulation,[status(thm)],[f546,f547]) ).
fof(f6249,plain,
e14 != op1(e13,e14),
inference(backward_demodulation,[status(thm)],[f6257,f284]) ).
fof(f6251,plain,
op1(e13,e11) != e14,
inference(backward_demodulation,[status(thm)],[f6257,f280]) ).
fof(f6252,plain,
op1(e13,e10) != e14,
inference(backward_demodulation,[status(thm)],[f6257,f277]) ).
fof(f6253,plain,
e14 != op1(e14,e13),
inference(backward_demodulation,[status(thm)],[f6257,f234]) ).
fof(f6254,plain,
op1(e12,e13) != e14,
inference(backward_demodulation,[status(thm)],[f6257,f232]) ).
fof(f6255,plain,
op1(e11,e13) != e14,
inference(backward_demodulation,[status(thm)],[f6257,f230]) ).
fof(f6256,plain,
op1(e10,e13) != e14,
inference(backward_demodulation,[status(thm)],[f6257,f227]) ).
fof(f6257,plain,
e14 = op1(e13,e13),
inference(forward_demodulation,[status(thm)],[f546,f6248]) ).
fof(f6264,plain,
e20 = op2(op2(op2(e22,e22),e22),e21),
inference(backward_demodulation,[status(thm)],[f549,f548]) ).
fof(f6265,plain,
e20 = op2(e21,e21),
inference(forward_demodulation,[status(thm)],[f549,f6264]) ).
fof(f6266,plain,
e21 = op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f550,f549]) ).
fof(f6267,plain,
e23 != op2(e22,e24),
inference(backward_demodulation,[status(thm)],[f550,f373]) ).
fof(f6269,plain,
op2(e22,e21) != e23,
inference(backward_demodulation,[status(thm)],[f550,f369]) ).
fof(f6270,plain,
op2(e22,e20) != e23,
inference(backward_demodulation,[status(thm)],[f550,f366]) ).
fof(f6271,plain,
e23 != op2(e24,e22),
inference(backward_demodulation,[status(thm)],[f550,f323]) ).
fof(f6273,plain,
op2(e21,e22) != e23,
inference(backward_demodulation,[status(thm)],[f550,f319]) ).
fof(f6274,plain,
op2(e20,e22) != e23,
inference(backward_demodulation,[status(thm)],[f550,f316]) ).
fof(f6275,plain,
e24 = op2(e23,op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f550,f551]) ).
fof(f6276,plain,
e24 != op2(e23,e24),
inference(backward_demodulation,[status(thm)],[f6284,f384]) ).
fof(f6278,plain,
op2(e23,e21) != e24,
inference(backward_demodulation,[status(thm)],[f6284,f380]) ).
fof(f6279,plain,
op2(e23,e20) != e24,
inference(backward_demodulation,[status(thm)],[f6284,f377]) ).
fof(f6281,plain,
op2(e22,e23) != e24,
inference(backward_demodulation,[status(thm)],[f6284,f332]) ).
fof(f6282,plain,
op2(e21,e23) != e24,
inference(backward_demodulation,[status(thm)],[f6284,f330]) ).
fof(f6283,plain,
op2(e20,e23) != e24,
inference(backward_demodulation,[status(thm)],[f6284,f327]) ).
fof(f6284,plain,
e24 = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f550,f6275]) ).
fof(f6295,plain,
h1(e13) != op2(e20,e24),
inference(backward_demodulation,[status(thm)],[f555,f348]) ).
fof(f6296,plain,
h1(e13) != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f555,f347]) ).
fof(f6297,plain,
h1(e13) != op2(e20,e22),
inference(backward_demodulation,[status(thm)],[f555,f346]) ).
fof(f6300,plain,
h1(e13) != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f555,f297]) ).
fof(f6301,plain,
h1(e13) != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f555,f296]) ).
fof(f6302,plain,
h1(e13) != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f555,f295]) ).
fof(f6306,plain,
h2(e10) = op2(op2(op2(e21,e21),e21),h2(e11)),
inference(backward_demodulation,[status(thm)],[f559,f558]) ).
fof(f6307,plain,
h2(e10) = op2(h2(e11),h2(e11)),
inference(forward_demodulation,[status(thm)],[f559,f6306]) ).
fof(f6308,plain,
h2(e11) = op2(h2(e13),e21),
inference(backward_demodulation,[status(thm)],[f560,f559]) ).
fof(f6309,plain,
h2(e13) != op2(e21,e24),
inference(backward_demodulation,[status(thm)],[f560,f361]) ).
fof(f6310,plain,
h2(e13) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f560,f360]) ).
fof(f6311,plain,
h2(e13) != op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f560,f359]) ).
fof(f6313,plain,
h2(e13) != op2(e24,e21),
inference(backward_demodulation,[status(thm)],[f560,f311]) ).
fof(f6314,plain,
h2(e13) != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f560,f310]) ).
fof(f6315,plain,
h2(e13) != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f560,f309]) ).
fof(f6316,plain,
op2(e20,e21) != h2(e13),
inference(backward_demodulation,[status(thm)],[f560,f305]) ).
fof(f6319,plain,
( sQ366_spl
| h4(op1(e10,e12)) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f567,f3693]) ).
fof(f6335,plain,
h2(e14) = op2(h2(e13),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f560,f561]) ).
fof(f6336,plain,
h2(e14) = op2(h2(e13),h2(e13)),
inference(forward_demodulation,[status(thm)],[f560,f6335]) ).
fof(f6337,plain,
h3(e10) = op2(op2(e23,e22),op2(op2(e22,e22),e22)),
inference(forward_demodulation,[status(thm)],[f550,f563]) ).
fof(f6338,plain,
h3(e10) = op2(op2(e23,e22),op2(e23,e22)),
inference(forward_demodulation,[status(thm)],[f550,f6337]) ).
fof(f6357,plain,
h3(e11) = op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f550,f564]) ).
fof(f6359,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f550,f565]) ).
fof(f6360,plain,
h3(e14) = op2(e23,op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f550,f566]) ).
fof(f6361,plain,
h3(e14) = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f550,f6360]) ).
fof(f6362,plain,
h3(e14) = e24,
inference(forward_demodulation,[status(thm)],[f6284,f6361]) ).
fof(f6363,plain,
( sQ363_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6362,f3683]) ).
fof(f6364,plain,
sQ363_spl,
inference(contradiction_clause,[status(thm)],[f6363]) ).
fof(f6368,plain,
h4(e10) = op2(op2(e24,e23),op2(op2(e23,e23),e23)),
inference(forward_demodulation,[status(thm)],[f6284,f568]) ).
fof(f6369,plain,
h4(e10) = op2(op2(e24,e23),op2(e24,e23)),
inference(forward_demodulation,[status(thm)],[f6284,f6368]) ).
fof(f6370,plain,
h4(e10) = op2(op2(e24,e23),h4(e11)),
inference(backward_demodulation,[status(thm)],[f6378,f6369]) ).
fof(f6371,plain,
h4(e11) != op2(e24,e24),
inference(backward_demodulation,[status(thm)],[f6378,f394]) ).
fof(f6373,plain,
op2(e24,e21) != h4(e11),
inference(backward_demodulation,[status(thm)],[f6378,f390]) ).
fof(f6374,plain,
op2(e24,e20) != h4(e11),
inference(backward_demodulation,[status(thm)],[f6378,f387]) ).
fof(f6378,plain,
h4(e11) = op2(e24,e23),
inference(forward_demodulation,[status(thm)],[f6284,f569]) ).
fof(f6379,plain,
h4(e10) = op2(h4(e11),h4(e11)),
inference(forward_demodulation,[status(thm)],[f6378,f6370]) ).
fof(f6387,plain,
( ~ sQ518_spl
| e24 = e20 ),
inference(forward_demodulation,[status(thm)],[f572,f4268]) ).
fof(f6388,plain,
( ~ sQ518_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6387,f408]) ).
fof(f6389,plain,
~ sQ518_spl,
inference(contradiction_clause,[status(thm)],[f6388]) ).
fof(f6397,plain,
( sQ367_spl
| h4(op1(e10,e13)) != op2(h4(e10),e24) ),
inference(backward_demodulation,[status(thm)],[f6399,f3696]) ).
fof(f6398,plain,
( sQ372_spl
| h4(op1(e11,e13)) != op2(h4(e11),e24) ),
inference(backward_demodulation,[status(thm)],[f6399,f3711]) ).
fof(f6399,plain,
h4(e13) = e24,
inference(forward_demodulation,[status(thm)],[f6284,f570]) ).
fof(f6400,plain,
h4(e14) = op2(e24,op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f6284,f571]) ).
fof(f6401,plain,
op2(e24,e22) != h4(e14),
inference(backward_demodulation,[status(thm)],[f6408,f393]) ).
fof(f6406,plain,
op2(e21,e24) != h4(e14),
inference(backward_demodulation,[status(thm)],[f6408,f341]) ).
fof(f6408,plain,
h4(e14) = op2(e24,e24),
inference(forward_demodulation,[status(thm)],[f6284,f6400]) ).
fof(f6416,plain,
h5(e11) = op2(h4(e14),e24),
inference(forward_demodulation,[status(thm)],[f6408,f574]) ).
fof(f6418,plain,
h5(e13) = h4(e14),
inference(forward_demodulation,[status(thm)],[f6408,f575]) ).
fof(f6419,plain,
( sQ396_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f6399,f3786]) ).
fof(f6420,plain,
( sQ396_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6419]) ).
fof(f6421,plain,
sQ396_spl,
inference(contradiction_clause,[status(thm)],[f6420]) ).
fof(f6429,plain,
( sQ370_spl
| ~ sQ502_spl
| h4(op1(e11,e11)) != op2(h4(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f4201,f3705]) ).
fof(f6432,plain,
( sQ370_spl
| ~ sQ502_spl
| h4(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4201,f6429]) ).
fof(f6433,plain,
( sQ370_spl
| ~ sQ502_spl
| h4(op1(e11,e11)) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f560,f6432]) ).
fof(f6437,plain,
( sQ352_spl
| h3(op1(e14,e12)) != op2(h3(e14),e22) ),
inference(forward_demodulation,[status(thm)],[f562,f3646]) ).
fof(f6438,plain,
( ~ sQ512_spl
| ~ sQ502_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f4201,f4243]) ).
fof(f6439,plain,
( ~ sQ512_spl
| ~ sQ502_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6438,f410]) ).
fof(f6440,plain,
( ~ sQ512_spl
| ~ sQ502_spl ),
inference(contradiction_clause,[status(thm)],[f6439]) ).
fof(f6441,plain,
( ~ sQ504_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f6399,f4209]) ).
fof(f6442,plain,
( ~ sQ504_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6441,f411]) ).
fof(f6443,plain,
~ sQ504_spl,
inference(contradiction_clause,[status(thm)],[f6442]) ).
fof(f6444,plain,
( ~ sQ499_spl
| e24 = e20 ),
inference(forward_demodulation,[status(thm)],[f6399,f4188]) ).
fof(f6445,plain,
( ~ sQ499_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6444,f408]) ).
fof(f6446,plain,
~ sQ499_spl,
inference(contradiction_clause,[status(thm)],[f6445]) ).
fof(f6457,plain,
( sQ494_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f6359,f4168]) ).
fof(f6458,plain,
( sQ494_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6457]) ).
fof(f6459,plain,
sQ494_spl,
inference(contradiction_clause,[status(thm)],[f6458]) ).
fof(f6473,plain,
( sQ348_spl
| h3(e14) != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f6257,f3634]) ).
fof(f6478,plain,
( sQ347_spl
| h3(op1(e13,e12)) != op2(e23,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f6359,f3631]) ).
fof(f6479,plain,
( sQ347_spl
| h3(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f562,f6478]) ).
fof(f6480,plain,
( sQ346_spl
| h3(op1(e13,e11)) != op2(e23,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f6359,f3628]) ).
fof(f6490,plain,
( sQ342_spl
| h3(e13) != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f546,f3616]) ).
fof(f6491,plain,
( sQ342_spl
| e23 != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f6359,f6490]) ).
fof(f6492,plain,
( sQ342_spl
| e23 != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f562,f6491]) ).
fof(f6493,plain,
( sQ342_spl
| e23 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f562,f6492]) ).
fof(f6494,plain,
( sQ342_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f550,f6493]) ).
fof(f6495,plain,
( sQ342_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6494]) ).
fof(f6496,plain,
sQ342_spl,
inference(contradiction_clause,[status(thm)],[f6495]) ).
fof(f6502,plain,
( ~ sQ472_spl
| ~ sQ462_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f4033,f4075]) ).
fof(f6503,plain,
( ~ sQ472_spl
| ~ sQ462_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6502,f410]) ).
fof(f6504,plain,
( ~ sQ472_spl
| ~ sQ462_spl ),
inference(contradiction_clause,[status(thm)],[f6503]) ).
fof(f6522,plain,
( sQ337_spl
| h3(op1(e11,e12)) != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f562,f3601]) ).
fof(f6527,plain,
( sQ336_spl
| ~ sQ482_spl
| h3(op1(e11,e11)) != op2(h3(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f4117,f3598]) ).
fof(f6535,plain,
( sQ336_spl
| ~ sQ482_spl
| h3(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f4117,f6527]) ).
fof(f6536,plain,
( sQ336_spl
| ~ sQ482_spl
| h3(op1(e11,e11)) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f560,f6535]) ).
fof(f6544,plain,
( ~ sQ490_spl
| e22 = e24 ),
inference(forward_demodulation,[status(thm)],[f4150,f6362]) ).
fof(f6545,plain,
( ~ sQ490_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6544,f413]) ).
fof(f6546,plain,
~ sQ490_spl,
inference(contradiction_clause,[status(thm)],[f6545]) ).
fof(f6549,plain,
( sQ348_spl
| h3(e14) != op2(e23,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f6359,f6473]) ).
fof(f6550,plain,
( sQ348_spl
| h3(e14) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f6359,f6549]) ).
fof(f6551,plain,
( sQ348_spl
| h3(e14) != e24 ),
inference(forward_demodulation,[status(thm)],[f6284,f6550]) ).
fof(f6554,plain,
( ~ sQ486_spl
| ~ sQ476_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f4092,f4134]) ).
fof(f6555,plain,
( ~ sQ486_spl
| ~ sQ476_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6554,f406]) ).
fof(f6556,plain,
( ~ sQ486_spl
| ~ sQ476_spl ),
inference(contradiction_clause,[status(thm)],[f6555]) ).
fof(f6557,plain,
( ~ sQ479_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f6359,f4104]) ).
fof(f6558,plain,
( ~ sQ479_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6557,f407]) ).
fof(f6559,plain,
~ sQ479_spl,
inference(contradiction_clause,[status(thm)],[f6558]) ).
fof(f6576,plain,
h5(e10) = op2(op2(h4(e14),e24),op2(op2(e24,e24),e24)),
inference(forward_demodulation,[status(thm)],[f6408,f573]) ).
fof(f6577,plain,
h5(e10) = op2(op2(h4(e14),e24),op2(h4(e14),e24)),
inference(forward_demodulation,[status(thm)],[f6408,f6576]) ).
fof(f6581,plain,
( ~ sQ528_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f572,f4310]) ).
fof(f6582,plain,
( ~ sQ528_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6581,f413]) ).
fof(f6583,plain,
~ sQ528_spl,
inference(contradiction_clause,[status(thm)],[f6582]) ).
fof(f6584,plain,
( ~ sQ509_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f6399,f4230]) ).
fof(f6585,plain,
( ~ sQ509_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6584,f413]) ).
fof(f6586,plain,
~ sQ509_spl,
inference(contradiction_clause,[status(thm)],[f6585]) ).
fof(f6588,plain,
( ~ sQ514_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f6399,f4251]) ).
fof(f6589,plain,
( ~ sQ514_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6588,f414]) ).
fof(f6590,plain,
~ sQ514_spl,
inference(contradiction_clause,[status(thm)],[f6589]) ).
fof(f6597,plain,
( sQ513_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f567,f4248]) ).
fof(f6598,plain,
( sQ513_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6597]) ).
fof(f6599,plain,
sQ513_spl,
inference(contradiction_clause,[status(thm)],[f6598]) ).
fof(f6602,plain,
( sQ314_spl
| h2(e14) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f6257,f3527]) ).
fof(f6603,plain,
( sQ314_spl
| h2(e14) != h2(e14) ),
inference(forward_demodulation,[status(thm)],[f6336,f6602]) ).
fof(f6604,plain,
( sQ314_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6603]) ).
fof(f6605,plain,
sQ314_spl,
inference(contradiction_clause,[status(thm)],[f6604]) ).
fof(f6608,plain,
( sQ313_spl
| h2(op1(e13,e12)) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f557,f3524]) ).
fof(f6622,plain,
( sQ308_spl
| h2(e13) != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f546,f3509]) ).
fof(f6623,plain,
( sQ308_spl
| h2(e13) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f557,f6622]) ).
fof(f6624,plain,
( sQ308_spl
| h2(e13) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f557,f6623]) ).
fof(f6625,plain,
( sQ308_spl
| h2(e13) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f560,f6624]) ).
fof(f6626,plain,
( sQ308_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6625]) ).
fof(f6627,plain,
sQ308_spl,
inference(contradiction_clause,[status(thm)],[f6626]) ).
fof(f6633,plain,
( sQ313_spl
| ~ sQ459_spl
| h2(op1(e13,e12)) != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f4020,f6608]) ).
fof(f6639,plain,
( ~ sQ459_spl
| h2(e14) = op2(h2(e13),e20) ),
inference(backward_demodulation,[status(thm)],[f4020,f6336]) ).
fof(f6641,plain,
( ~ sQ459_spl
| h2(e14) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4020,f6639]) ).
fof(f6642,plain,
( ~ sQ469_spl
| ~ sQ459_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f4020,f4062]) ).
fof(f6643,plain,
( ~ sQ469_spl
| ~ sQ459_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6642,f406]) ).
fof(f6644,plain,
( ~ sQ469_spl
| ~ sQ459_spl ),
inference(contradiction_clause,[status(thm)],[f6643]) ).
fof(f6649,plain,
( sQ348_spl
| ~ sQ363_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f3682,f6551]) ).
fof(f6650,plain,
( sQ348_spl
| ~ sQ363_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6649]) ).
fof(f6651,plain,
( sQ348_spl
| ~ sQ363_spl ),
inference(contradiction_clause,[status(thm)],[f6650]) ).
fof(f6681,plain,
( ~ sQ519_spl
| h4(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f6418,f4272]) ).
fof(f6682,plain,
( ~ sQ519_spl
| sQ500_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6681,f4193]) ).
fof(f6683,plain,
( ~ sQ519_spl
| sQ500_spl ),
inference(contradiction_clause,[status(thm)],[f6682]) ).
fof(f6702,plain,
( ~ sQ510_spl
| e22 = op2(e24,e24) ),
inference(backward_demodulation,[status(thm)],[f4234,f6408]) ).
fof(f6734,plain,
( sQ274_spl
| h1(e13) != op2(h1(e12),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f546,f3402]) ).
fof(f6773,plain,
( ~ sQ523_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f572,f4289]) ).
fof(f6774,plain,
( ~ sQ523_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6773,f411]) ).
fof(f6775,plain,
~ sQ523_spl,
inference(contradiction_clause,[status(thm)],[f6774]) ).
fof(f6793,plain,
( ~ sQ150_spl
| op2(e20,e22) != e20 ),
inference(backward_demodulation,[status(thm)],[f2857,f353]) ).
fof(f6799,plain,
( ~ sQ150_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f6793,f2824,f2856]) ).
fof(f6804,plain,
( ~ sQ274_spl
| h1(e13) = op2(h1(e12),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f546,f3401]) ).
fof(f6805,plain,
( ~ sQ274_spl
| h1(e13) = op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f552,f6804]) ).
fof(f6806,plain,
( ~ sQ274_spl
| h1(e13) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f552,f6805]) ).
fof(f6814,plain,
( ~ sQ221_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f6284,f3084]) ).
fof(f6815,plain,
( ~ sQ221_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6814,f411]) ).
fof(f6816,plain,
~ sQ221_spl,
inference(contradiction_clause,[status(thm)],[f6815]) ).
fof(f6817,plain,
( sQ274_spl
| h1(e13) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f552,f6734]) ).
fof(f6818,plain,
( sQ274_spl
| h1(e13) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f552,f6817]) ).
fof(f6854,plain,
( ~ sQ201_spl
| ~ sQ200_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f3017,f3020]) ).
fof(f6855,plain,
( ~ sQ201_spl
| ~ sQ200_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6854,f405]) ).
fof(f6856,plain,
( ~ sQ201_spl
| ~ sQ200_spl ),
inference(contradiction_clause,[status(thm)],[f6855]) ).
fof(f6863,plain,
( ~ sQ220_spl
| e24 = e20 ),
inference(forward_demodulation,[status(thm)],[f6284,f3081]) ).
fof(f6864,plain,
( ~ sQ220_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6863,f408]) ).
fof(f6865,plain,
~ sQ220_spl,
inference(contradiction_clause,[status(thm)],[f6864]) ).
fof(f6867,plain,
( ~ sQ222_spl
| e24 = e22 ),
inference(forward_demodulation,[status(thm)],[f6284,f3087]) ).
fof(f6868,plain,
( ~ sQ222_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6867,f413]) ).
fof(f6869,plain,
~ sQ222_spl,
inference(contradiction_clause,[status(thm)],[f6868]) ).
fof(f6870,plain,
( ~ sQ190_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f550,f2985]) ).
fof(f6871,plain,
( ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6870,f407]) ).
fof(f6872,plain,
~ sQ190_spl,
inference(contradiction_clause,[status(thm)],[f6871]) ).
fof(f6873,plain,
( ~ sQ223_spl
| e24 = e23 ),
inference(forward_demodulation,[status(thm)],[f6284,f3090]) ).
fof(f6874,plain,
( ~ sQ223_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6873,f414]) ).
fof(f6875,plain,
~ sQ223_spl,
inference(contradiction_clause,[status(thm)],[f6874]) ).
fof(f6876,plain,
( sQ193_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f550,f2995]) ).
fof(f6877,plain,
( sQ193_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6876]) ).
fof(f6878,plain,
sQ193_spl,
inference(contradiction_clause,[status(thm)],[f6877]) ).
fof(f6880,plain,
( ~ sQ194_spl
| e23 = e24 ),
inference(forward_demodulation,[status(thm)],[f550,f2997]) ).
fof(f6881,plain,
( ~ sQ194_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6880,f414]) ).
fof(f6882,plain,
~ sQ194_spl,
inference(contradiction_clause,[status(thm)],[f6881]) ).
fof(f6888,plain,
( ~ sQ225_spl
| op2(e23,e20) != e20 ),
inference(backward_demodulation,[status(thm)],[f3097,f378]) ).
fof(f6889,plain,
( ~ sQ227_spl
| ~ sQ225_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f3097,f3103]) ).
fof(f6890,plain,
( ~ sQ227_spl
| ~ sQ225_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6889,f406]) ).
fof(f6891,plain,
( ~ sQ227_spl
| ~ sQ225_spl ),
inference(contradiction_clause,[status(thm)],[f6890]) ).
fof(f6892,plain,
( sQ376_spl
| e24 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f6399,f6239]) ).
fof(f6893,plain,
( sQ376_spl
| e24 != e24 ),
inference(forward_demodulation,[status(thm)],[f6284,f6892]) ).
fof(f6894,plain,
( sQ376_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6893]) ).
fof(f6895,plain,
sQ376_spl,
inference(contradiction_clause,[status(thm)],[f6894]) ).
fof(f6918,plain,
( ~ sQ20_spl
| e10 != op1(e13,e14) ),
inference(backward_demodulation,[status(thm)],[f2391,f237]) ).
fof(f6933,plain,
( ~ sQ45_spl
| op1(e11,e11) != e10 ),
inference(backward_demodulation,[status(thm)],[f2471,f261]) ).
fof(f6946,plain,
( ~ sQ48_spl
| ~ sQ47_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f2477,f2480]) ).
fof(f6947,plain,
( ~ sQ48_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6946,f402]) ).
fof(f6948,plain,
( ~ sQ48_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f6947]) ).
fof(f6954,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f2551,f2554]) ).
fof(f6955,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6954,f395]) ).
fof(f6956,plain,
( ~ sQ71_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f6955]) ).
fof(f6958,plain,
( sQ63_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f546,f2529]) ).
fof(f6959,plain,
( sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6958]) ).
fof(f6960,plain,
sQ63_spl,
inference(contradiction_clause,[status(thm)],[f6959]) ).
fof(f6967,plain,
( ~ sQ45_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f6933,f2422,f2470]) ).
fof(f6972,plain,
( ~ sQ90_spl
| e14 = e10 ),
inference(forward_demodulation,[status(thm)],[f6257,f2615]) ).
fof(f6973,plain,
( ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6972,f398]) ).
fof(f6974,plain,
~ sQ90_spl,
inference(contradiction_clause,[status(thm)],[f6973]) ).
fof(f6975,plain,
( ~ sQ61_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f546,f2522]) ).
fof(f6976,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6975,f400]) ).
fof(f6977,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f6976]) ).
fof(f6978,plain,
( ~ sQ60_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f546,f2519]) ).
fof(f6979,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6978,f397]) ).
fof(f6980,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f6979]) ).
fof(f6981,plain,
( ~ sQ91_spl
| e14 = e11 ),
inference(forward_demodulation,[status(thm)],[f6257,f2618]) ).
fof(f6982,plain,
( ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6981,f401]) ).
fof(f6983,plain,
~ sQ91_spl,
inference(contradiction_clause,[status(thm)],[f6982]) ).
fof(f6984,plain,
( ~ sQ64_spl
| e13 = e14 ),
inference(forward_demodulation,[status(thm)],[f546,f2531]) ).
fof(f6985,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6984,f404]) ).
fof(f6986,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f6985]) ).
fof(f6998,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f2631,f2637]) ).
fof(f6999,plain,
( ~ sQ97_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6998,f396]) ).
fof(f7000,plain,
( ~ sQ97_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f6999]) ).
fof(f7021,plain,
( ~ sQ148_spl
| op2(e20,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f2850,f350]) ).
fof(f7022,plain,
( ~ sQ148_spl
| e23 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f2850,f326]) ).
fof(f7023,plain,
( ~ sQ148_spl
| e23 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f2850,f325]) ).
fof(f7024,plain,
( ~ sQ148_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f7022,f3009,f2849]) ).
fof(f7026,plain,
( ~ sQ18_spl
| op1(e10,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f2384,f250]) ).
fof(f7030,plain,
( ~ sQ18_spl
| e13 != op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f2384,f225]) ).
fof(f7046,plain,
( ~ sQ167_spl
| e22 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f2911,f362]) ).
fof(f7050,plain,
( ~ sQ167_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f7046,f2926,f2910]) ).
fof(f7062,plain,
( ~ sQ37_spl
| op1(e10,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f2445,f215]) ).
fof(f7068,plain,
( ~ sQ37_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f7062,f2364,f2444]) ).
fof(f7094,plain,
( ~ sQ50_spl
| op1(e10,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f2487,f196]) ).
fof(f7098,plain,
( ~ sQ50_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7094,f2326,f2486]) ).
fof(f7108,plain,
( ~ sQ186_spl
| op2(e20,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f2972,f306]) ).
fof(f7110,plain,
( ~ sQ186_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f7108,f2811,f2971]) ).
fof(f7111,plain,
( ~ sQ191_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f550,f2988]) ).
fof(f7112,plain,
( ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7111,f410]) ).
fof(f7113,plain,
~ sQ191_spl,
inference(contradiction_clause,[status(thm)],[f7112]) ).
fof(f7118,plain,
( ~ sQ56_spl
| op1(e10,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f2506,f206]) ).
fof(f7120,plain,
( ~ sQ56_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f7118,f2345,f2505]) ).
fof(f7137,plain,
( ~ sQ75_spl
| e10 != op1(e14,e10) ),
inference(backward_demodulation,[status(thm)],[f2567,f204]) ).
fof(f7139,plain,
( ~ sQ75_spl
| op1(e10,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f2567,f197]) ).
fof(f7142,plain,
( ~ sQ75_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f7139,f2326,f2566]) ).
fof(f7147,plain,
( ~ sQ211_spl
| op2(e20,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f3052,f307]) ).
fof(f7148,plain,
( ~ sQ211_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f7147,f2811,f3051]) ).
fof(f7149,plain,
( ~ sQ81_spl
| e11 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f2586,f279]) ).
fof(f7152,plain,
( ~ sQ81_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f7149,f2601,f2585]) ).
fof(f7154,plain,
( ~ sQ78_spl
| ~ sQ77_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f2573,f2576]) ).
fof(f7155,plain,
( ~ sQ78_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7154,f402]) ).
fof(f7156,plain,
( ~ sQ78_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f7155]) ).
fof(f7159,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f2589,f2592]) ).
fof(f7160,plain,
( ~ sQ83_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7159,f402]) ).
fof(f7161,plain,
( ~ sQ83_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f7160]) ).
fof(f7163,plain,
( ~ sQ230_spl
| e20 != op2(e24,e22) ),
inference(backward_demodulation,[status(thm)],[f3113,f386]) ).
fof(f7171,plain,
( ~ sQ92_spl
| e14 = e12 ),
inference(forward_demodulation,[status(thm)],[f6257,f2621]) ).
fof(f7172,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7171,f403]) ).
fof(f7173,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f7172]) ).
fof(f7189,plain,
( ~ sQ93_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f6257,f2624]) ).
fof(f7190,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7189,f404]) ).
fof(f7191,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f7190]) ).
fof(f7214,plain,
( ~ sQ236_spl
| op2(e20,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f3132,f308]) ).
fof(f7282,plain,
( ~ sQ142_spl
| op2(e20,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f2831,f349]) ).
fof(f7283,plain,
( ~ sQ142_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f7282,f2814,f2830]) ).
fof(f7296,plain,
( ~ sQ192_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f550,f2991]) ).
fof(f7297,plain,
( ~ sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7296,f412]) ).
fof(f7298,plain,
~ sQ192_spl,
inference(contradiction_clause,[status(thm)],[f7297]) ).
fof(f7301,plain,
( ~ sQ151_spl
| ~ sQ154_spl
| e24 = e21 ),
inference(forward_demodulation,[status(thm)],[f2869,f2860]) ).
fof(f7302,plain,
( ~ sQ151_spl
| ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7301,f411]) ).
fof(f7303,plain,
( ~ sQ151_spl
| ~ sQ154_spl ),
inference(contradiction_clause,[status(thm)],[f7302]) ).
fof(f7318,plain,
( ~ sQ146_spl
| ~ sQ148_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2850,f2844]) ).
fof(f7319,plain,
( ~ sQ146_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7318,f410]) ).
fof(f7320,plain,
( ~ sQ146_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f7319]) ).
fof(f7326,plain,
( ~ sQ232_spl
| op2(e22,e20) != e22 ),
inference(forward_demodulation,[status(thm)],[f3119,f303]) ).
fof(f7348,plain,
( ~ sQ230_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f7163,f3144,f3112]) ).
fof(f7356,plain,
( ~ sQ62_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f546,f2525]) ).
fof(f7357,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7356,f402]) ).
fof(f7358,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f7357]) ).
fof(f7363,plain,
( ~ sQ18_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f7026,f2351,f2383]) ).
fof(f7408,plain,
( ~ sQ148_spl
| ~ sQ138_spl ),
inference(split_clause,[status(thm)],[f7021,f2817,f2849]) ).
fof(f7410,plain,
( ~ sQ347_spl
| h3(op1(e13,e12)) = op2(e23,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f6359,f3630]) ).
fof(f7411,plain,
( ~ sQ347_spl
| h3(op1(e13,e12)) = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f562,f7410]) ).
fof(f7422,plain,
( ~ sQ240_spl
| ~ sQ242_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f3151,f3145]) ).
fof(f7423,plain,
( ~ sQ240_spl
| ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7422,f406]) ).
fof(f7424,plain,
( ~ sQ240_spl
| ~ sQ242_spl ),
inference(contradiction_clause,[status(thm)],[f7423]) ).
fof(f7439,plain,
( sQ380_spl
| h4(op1(e13,e11)) != op2(e24,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f6399,f3735]) ).
fof(f7441,plain,
( sQ377_spl
| h4(op1(e12,e13)) != op2(e23,e24) ),
inference(forward_demodulation,[status(thm)],[f6399,f6153]) ).
fof(f7442,plain,
( sQ379_spl
| h4(op1(e13,e10)) != op2(e24,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f6399,f3732]) ).
fof(f7445,plain,
( sQ381_spl
| h4(e11) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f6238,f6115]) ).
fof(f7448,plain,
( sQ382_spl
| h4(e14) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f6257,f3741]) ).
fof(f7449,plain,
( sQ382_spl
| h4(e14) != op2(e24,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f6399,f7448]) ).
fof(f7450,plain,
( sQ382_spl
| h4(e14) != op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f6399,f7449]) ).
fof(f7452,plain,
( sQ383_spl
| h4(op1(e13,e14)) != op2(e24,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f6399,f3744]) ).
fof(f7455,plain,
( sQ387_spl
| h4(op1(e14,e13)) != op2(h4(e14),e24) ),
inference(forward_demodulation,[status(thm)],[f6399,f3756]) ).
fof(f7456,plain,
( ~ sQ217_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f3071,f6266]) ).
fof(f7457,plain,
( ~ sQ217_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7456,f409]) ).
fof(f7458,plain,
~ sQ217_spl,
inference(contradiction_clause,[status(thm)],[f7457]) ).
fof(f7459,plain,
( ~ sQ347_spl
| h3(e11) = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f6238,f7411]) ).
fof(f7460,plain,
( ~ sQ347_spl
| ~ sQ487_spl
| e22 = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f4138,f7459]) ).
fof(f7476,plain,
( ~ sQ214_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3061,f6278]) ).
fof(f7477,plain,
~ sQ214_spl,
inference(contradiction_clause,[status(thm)],[f7476]) ).
fof(f7478,plain,
( ~ sQ216_spl
| ~ sQ347_spl
| ~ sQ487_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f7460,f3068]) ).
fof(f7479,plain,
( ~ sQ216_spl
| ~ sQ347_spl
| ~ sQ487_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7478,f409]) ).
fof(f7480,plain,
( ~ sQ216_spl
| ~ sQ347_spl
| ~ sQ487_spl ),
inference(contradiction_clause,[status(thm)],[f7479]) ).
fof(f7482,plain,
( sQ488_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f562,f4143]) ).
fof(f7483,plain,
( sQ488_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7482]) ).
fof(f7484,plain,
sQ488_spl,
inference(contradiction_clause,[status(thm)],[f7483]) ).
fof(f7488,plain,
( ~ sQ474_spl
| h2(e11) = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f4083,f6308]) ).
fof(f7495,plain,
( ~ sQ212_spl
| ~ sQ474_spl
| h2(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f7488,f3055]) ).
fof(f7496,plain,
( ~ sQ212_spl
| ~ sQ474_spl
| sQ467_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7495,f4055]) ).
fof(f7497,plain,
( ~ sQ212_spl
| ~ sQ474_spl
| sQ467_spl ),
inference(contradiction_clause,[status(thm)],[f7496]) ).
fof(f7504,plain,
( ~ sQ467_spl
| h2(e10) = op2(h2(e11),e22) ),
inference(backward_demodulation,[status(thm)],[f4054,f6307]) ).
fof(f7511,plain,
( ~ sQ467_spl
| h2(e10) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f4054,f7504]) ).
fof(f7512,plain,
( ~ sQ467_spl
| h2(e10) = e23 ),
inference(forward_demodulation,[status(thm)],[f550,f7511]) ).
fof(f7513,plain,
( ~ sQ467_spl
| sQ471_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7512,f4072]) ).
fof(f7514,plain,
( ~ sQ467_spl
| sQ471_spl ),
inference(contradiction_clause,[status(thm)],[f7513]) ).
fof(f7525,plain,
( sQ274_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f555,f6818]) ).
fof(f7526,plain,
sQ274_spl,
inference(contradiction_clause,[status(thm)],[f7525]) ).
fof(f7545,plain,
( ~ sQ347_spl
| op2(e21,e22) != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f7459,f320]) ).
fof(f7563,plain,
( sQ381_spl
| h4(e11) != op2(e24,e23) ),
inference(forward_demodulation,[status(thm)],[f6399,f7445]) ).
fof(f7575,plain,
( sQ352_spl
| ~ sQ363_spl
| h3(op1(e14,e12)) != op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f3682,f6437]) ).
fof(f7580,plain,
( ~ sQ381_spl
| h4(e11) = op2(h4(e13),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f6238,f3737]) ).
fof(f7581,plain,
( ~ sQ381_spl
| h4(e11) = op2(e24,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f6399,f7580]) ).
fof(f7582,plain,
( ~ sQ381_spl
| h4(e11) = op2(e24,e23) ),
inference(forward_demodulation,[status(thm)],[f567,f7581]) ).
fof(f7583,plain,
( ~ sQ381_spl
| ~ sQ248_spl
| h4(e11) = e23 ),
inference(forward_demodulation,[status(thm)],[f3170,f7582]) ).
fof(f7606,plain,
( ~ sQ381_spl
| ~ sQ248_spl
| op2(e24,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f7583,f6373]) ).
fof(f7611,plain,
( ~ sQ381_spl
| ~ sQ248_spl
| ~ sQ238_spl ),
inference(split_clause,[status(thm)],[f7606,f3137,f3169,f3736]) ).
fof(f7621,plain,
( ~ sQ500_spl
| op2(e24,e22) != e20 ),
inference(backward_demodulation,[status(thm)],[f4192,f6401]) ).
fof(f7636,plain,
( ~ sQ500_spl
| ~ sQ240_spl ),
inference(split_clause,[status(thm)],[f7621,f3144,f4191]) ).
fof(f7657,plain,
( ~ sQ161_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f6265,f2892]) ).
fof(f7658,plain,
( ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7657,f405]) ).
fof(f7659,plain,
~ sQ161_spl,
inference(contradiction_clause,[status(thm)],[f7658]) ).
fof(f7662,plain,
( ~ sQ164_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f6265,f2901]) ).
fof(f7663,plain,
( ~ sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7662,f408]) ).
fof(f7664,plain,
~ sQ164_spl,
inference(contradiction_clause,[status(thm)],[f7663]) ).
fof(f7672,plain,
( sQ404_spl
| h5(e10) != op2(h5(e11),h5(e11)) ),
inference(forward_demodulation,[status(thm)],[f6237,f3812]) ).
fof(f7684,plain,
h2(e13) = e20,
inference(forward_demodulation,[status(thm)],[f6265,f560]) ).
fof(f7685,plain,
( sQ459_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7684,f4021]) ).
fof(f7686,plain,
sQ459_spl,
inference(contradiction_clause,[status(thm)],[f7685]) ).
fof(f7687,plain,
( sQ313_spl
| ~ sQ459_spl
| h2(e11) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f6238,f6633]) ).
fof(f7691,plain,
( sQ463_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f557,f4038]) ).
fof(f7692,plain,
( sQ463_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7691]) ).
fof(f7693,plain,
sQ463_spl,
inference(contradiction_clause,[status(thm)],[f7692]) ).
fof(f7700,plain,
( ~ sQ162_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f6265,f2895]) ).
fof(f7701,plain,
( ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7700,f406]) ).
fof(f7702,plain,
~ sQ162_spl,
inference(contradiction_clause,[status(thm)],[f7701]) ).
fof(f7712,plain,
( ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2853,f6283]) ).
fof(f7713,plain,
~ sQ149_spl,
inference(contradiction_clause,[status(thm)],[f7712]) ).
fof(f7714,plain,
( ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3154,f6271]) ).
fof(f7715,plain,
~ sQ243_spl,
inference(contradiction_clause,[status(thm)],[f7714]) ).
fof(f7735,plain,
( ~ sQ459_spl
| op2(e20,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f4020,f6316]) ).
fof(f7740,plain,
( ~ sQ459_spl
| e20 != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f4020,f6315]) ).
fof(f7741,plain,
( ~ sQ459_spl
| e20 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f4020,f6314]) ).
fof(f7742,plain,
( ~ sQ459_spl
| e20 != op2(e24,e21) ),
inference(backward_demodulation,[status(thm)],[f4020,f6313]) ).
fof(f7744,plain,
( ~ sQ459_spl
| e20 != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f4020,f6311]) ).
fof(f7745,plain,
( ~ sQ459_spl
| ~ sQ235_spl ),
inference(split_clause,[status(thm)],[f7742,f3128,f4019]) ).
fof(f7746,plain,
( ~ sQ459_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f7744,f2904,f4019]) ).
fof(f7747,plain,
( sQ347_spl
| h3(e11) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f6238,f6479]) ).
fof(f7751,plain,
( sQ336_spl
| ~ sQ482_spl
| h3(e10) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f6237,f6536]) ).
fof(f7752,plain,
( sQ336_spl
| ~ sQ482_spl
| ~ sQ459_spl
| h3(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f4020,f7751]) ).
fof(f7756,plain,
( ~ sQ209_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3045,f6279]) ).
fof(f7757,plain,
~ sQ209_spl,
inference(contradiction_clause,[status(thm)],[f7756]) ).
fof(f7765,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2368,f6247]) ).
fof(f7766,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f7765]) ).
fof(f7767,plain,
( ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2834,f6274]) ).
fof(f7768,plain,
~ sQ143_spl,
inference(contradiction_clause,[status(thm)],[f7767]) ).
fof(f7769,plain,
( ~ sQ85_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f6238,f2599]) ).
fof(f7770,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7769,f395]) ).
fof(f7771,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f7770]) ).
fof(f7774,plain,
( ~ sQ33_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f6237,f2432]) ).
fof(f7775,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7774,f397]) ).
fof(f7776,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f7775]) ).
fof(f7780,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2544,f6241]) ).
fof(f7781,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f7780]) ).
fof(f7787,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2512,f6242]) ).
fof(f7788,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f7787]) ).
fof(f7789,plain,
( ~ sQ225_spl
| ~ sQ205_spl ),
inference(split_clause,[status(thm)],[f6888,f3032,f3096]) ).
fof(f7796,plain,
( ~ sQ250_spl
| h4(e14) = e20 ),
inference(forward_demodulation,[status(thm)],[f6408,f3177]) ).
fof(f7797,plain,
( ~ sQ250_spl
| sQ500_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7796,f4193]) ).
fof(f7798,plain,
( ~ sQ250_spl
| sQ500_spl ),
inference(contradiction_clause,[status(thm)],[f7797]) ).
fof(f7799,plain,
( ~ sQ88_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f6238,f2608]) ).
fof(f7800,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7799,f400]) ).
fof(f7801,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f7800]) ).
fof(f7802,plain,
( ~ sQ31_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f6237,f2426]) ).
fof(f7803,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7802,f395]) ).
fof(f7804,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f7803]) ).
fof(f7805,plain,
( ~ sQ252_spl
| h4(e14) = e22 ),
inference(forward_demodulation,[status(thm)],[f6408,f3183]) ).
fof(f7806,plain,
( ~ sQ252_spl
| sQ510_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7805,f4235]) ).
fof(f7807,plain,
( ~ sQ252_spl
| sQ510_spl ),
inference(contradiction_clause,[status(thm)],[f7806]) ).
fof(f7808,plain,
( ~ sQ89_spl
| e11 = e14 ),
inference(forward_demodulation,[status(thm)],[f6238,f2611]) ).
fof(f7809,plain,
( ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7808,f401]) ).
fof(f7810,plain,
~ sQ89_spl,
inference(contradiction_clause,[status(thm)],[f7809]) ).
fof(f7811,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2688,f6244]) ).
fof(f7812,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f7811]) ).
fof(f7818,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2448,f6246]) ).
fof(f7819,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f7818]) ).
fof(f7821,plain,
( ~ sQ32_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f6237,f2429]) ).
fof(f7822,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7821,f396]) ).
fof(f7823,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f7822]) ).
fof(f7824,plain,
( ~ sQ87_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f6238,f2605]) ).
fof(f7825,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7824,f399]) ).
fof(f7826,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f7825]) ).
fof(f7832,plain,
( ~ sQ510_spl
| e22 = h4(e14) ),
inference(forward_demodulation,[status(thm)],[f6408,f6702]) ).
fof(f7834,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2496,f6243]) ).
fof(f7835,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f7834]) ).
fof(f7836,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2387,f6256]) ).
fof(f7837,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f7836]) ).
fof(f7838,plain,
( sQ302_spl
| h2(e10) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f6237,f3491]) ).
fof(f7841,plain,
( ~ sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3026,f6267]) ).
fof(f7842,plain,
~ sQ203_spl,
inference(contradiction_clause,[status(thm)],[f7841]) ).
fof(f7843,plain,
( ~ sQ208_spl
| h1(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f3042,f6300]) ).
fof(f7846,plain,
( ~ sQ208_spl
| e23 != op2(e23,e24) ),
inference(forward_demodulation,[status(thm)],[f3042,f378]) ).
fof(f7858,plain,
( ~ sQ302_spl
| h2(e10) = op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f6237,f3490]) ).
fof(f7859,plain,
( ~ sQ302_spl
| ~ sQ471_spl
| e23 = op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4071,f7858]) ).
fof(f7885,plain,
( sQ370_spl
| ~ sQ502_spl
| h4(e10) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f6237,f6433]) ).
fof(f7886,plain,
( sQ370_spl
| ~ sQ502_spl
| ~ sQ459_spl
| h4(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f4020,f7885]) ).
fof(f7931,plain,
e11 != op1(e13,e14),
inference(forward_demodulation,[status(thm)],[f6238,f283]) ).
fof(f7946,plain,
e10 != op1(e11,e13),
inference(forward_demodulation,[status(thm)],[f6237,f260]) ).
fof(f7947,plain,
e10 != op1(e11,e12),
inference(forward_demodulation,[status(thm)],[f6237,f259]) ).
fof(f7948,plain,
op1(e11,e10) != e10,
inference(forward_demodulation,[status(thm)],[f6237,f255]) ).
fof(f7949,plain,
e10 != op1(e14,e11),
inference(forward_demodulation,[status(thm)],[f6237,f211]) ).
fof(f7950,plain,
e10 != op1(e13,e11),
inference(forward_demodulation,[status(thm)],[f6237,f210]) ).
fof(f7951,plain,
( ~ sQ80_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f2583,f7950]) ).
fof(f7952,plain,
( ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7951]) ).
fof(f7953,plain,
~ sQ80_spl,
inference(contradiction_clause,[status(thm)],[f7952]) ).
fof(f7955,plain,
( ~ sQ34_spl
| e10 = e14 ),
inference(forward_demodulation,[status(thm)],[f6237,f2435]) ).
fof(f7956,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7955,f398]) ).
fof(f7957,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f7956]) ).
fof(f7958,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2579,f6252]) ).
fof(f7959,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f7958]) ).
fof(f7972,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2467,f6255]) ).
fof(f7973,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f7972]) ).
fof(f7974,plain,
( ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2547,f6254]) ).
fof(f7975,plain,
~ sQ69_spl,
inference(contradiction_clause,[status(thm)],[f7974]) ).
fof(f7984,plain,
( ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2914,f6273]) ).
fof(f7985,plain,
~ sQ168_spl,
inference(contradiction_clause,[status(thm)],[f7984]) ).
fof(f7987,plain,
( ~ sQ459_spl
| ~ sQ210_spl ),
inference(split_clause,[status(thm)],[f7741,f3048,f4019]) ).
fof(f7992,plain,
( ~ sQ185_spl
| ~ sQ459_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2969,f7740]) ).
fof(f7993,plain,
( ~ sQ185_spl
| ~ sQ459_spl ),
inference(contradiction_clause,[status(thm)],[f7992]) ).
fof(f7997,plain,
( ~ sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2978,f6269]) ).
fof(f7998,plain,
~ sQ188_spl,
inference(contradiction_clause,[status(thm)],[f7997]) ).
fof(f7999,plain,
( ~ sQ208_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f7846,f3105,f3041]) ).
fof(f8000,plain,
( ~ sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2962,f6270]) ).
fof(f8001,plain,
~ sQ183_spl,
inference(contradiction_clause,[status(thm)],[f8000]) ).
fof(f8002,plain,
( ~ sQ135_spl
| ~ sQ459_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2809,f7735]) ).
fof(f8003,plain,
( ~ sQ135_spl
| ~ sQ459_spl ),
inference(contradiction_clause,[status(thm)],[f8002]) ).
fof(f8006,plain,
e10 != op1(e12,e11),
inference(forward_demodulation,[status(thm)],[f6237,f209]) ).
fof(f8007,plain,
op1(e10,e11) != e10,
inference(forward_demodulation,[status(thm)],[f6237,f205]) ).
fof(f8014,plain,
op1(e13,e10) != e11,
inference(forward_demodulation,[status(thm)],[f6238,f276]) ).
fof(f8043,plain,
( ~ sQ163_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f6265,f2898]) ).
fof(f8044,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8043,f407]) ).
fof(f8045,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f8044]) ).
fof(f8047,plain,
( ~ sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2933,f6282]) ).
fof(f8048,plain,
~ sQ174_spl,
inference(contradiction_clause,[status(thm)],[f8047]) ).
fof(f8053,plain,
( ~ sQ82_spl
| op1(e12,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f2589,f212]) ).
fof(f8055,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2634,f7931]) ).
fof(f8056,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f8055]) ).
fof(f8058,plain,
( ~ sQ75_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f7137,f2646,f2566]) ).
fof(f8066,plain,
( ~ sQ20_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f6918,f2630,f2390]) ).
fof(f8067,plain,
( ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2560,f6240]) ).
fof(f8068,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f8067]) ).
fof(f8069,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2503,f8006]) ).
fof(f8070,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f8069]) ).
fof(f8072,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2343,f8007]) ).
fof(f8073,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f8072]) ).
fof(f8075,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2663,f7949]) ).
fof(f8076,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f8075]) ).
fof(f8085,plain,
op1(e11,e12) != e11,
inference(forward_demodulation,[status(thm)],[f6238,f220]) ).
fof(f8086,plain,
e11 != op1(e14,e12),
inference(forward_demodulation,[status(thm)],[f6238,f224]) ).
fof(f8087,plain,
op1(e10,e12) != e11,
inference(forward_demodulation,[status(thm)],[f6238,f217]) ).
fof(f8098,plain,
( ~ sQ179_spl
| op2(e20,e24) != e24 ),
inference(backward_demodulation,[status(thm)],[f2949,f335]) ).
fof(f8112,plain,
( ~ sQ156_spl
| h1(e13) != e21 ),
inference(backward_demodulation,[status(thm)],[f2876,f6302]) ).
fof(f8119,plain,
( ~ sQ179_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f8098,f2868,f2948]) ).
fof(f8130,plain,
( ~ sQ352_spl
| ~ sQ363_spl
| h3(op1(e14,e12)) = op2(e24,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f3682,f3645]) ).
fof(f8131,plain,
( ~ sQ352_spl
| ~ sQ363_spl
| h3(op1(e14,e12)) = op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f562,f8130]) ).
fof(f8149,plain,
( ~ sQ156_spl
| e21 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2876,f299]) ).
fof(f8159,plain,
( ~ sQ156_spl
| ~ sQ444_spl ),
inference(split_clause,[status(thm)],[f8112,f3956,f2875]) ).
fof(f8168,plain,
( ~ sQ239_spl
| op2(e24,e20) != e24 ),
inference(backward_demodulation,[status(thm)],[f3141,f385]) ).
fof(f8175,plain,
( ~ sQ459_spl
| e20 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f4020,f6310]) ).
fof(f8176,plain,
( ~ sQ459_spl
| e20 != op2(e21,e24) ),
inference(forward_demodulation,[status(thm)],[f4020,f6309]) ).
fof(f8196,plain,
( ~ sQ459_spl
| h2(e11) = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f4020,f6308]) ).
fof(f8198,plain,
( ~ sQ274_spl
| h1(e11) = op2(h1(e13),e20) ),
inference(forward_demodulation,[status(thm)],[f6806,f554]) ).
fof(f8222,plain,
( sQ385_spl
| ~ sQ510_spl
| h4(op1(e14,e11)) != op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f7832,f3750]) ).
fof(f8224,plain,
( sQ380_spl
| ~ sQ82_spl
| h4(e12) != op2(e24,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2589,f7439]) ).
fof(f8225,plain,
( sQ380_spl
| ~ sQ82_spl
| e23 != op2(e24,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f567,f8224]) ).
fof(f8254,plain,
( ~ sQ212_spl
| op2(e23,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f3055,f375]) ).
fof(f8255,plain,
( ~ sQ212_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f3055,f312]) ).
fof(f8256,plain,
( ~ sQ212_spl
| ~ sQ207_spl ),
inference(split_clause,[status(thm)],[f8254,f3038,f3054]) ).
fof(f8269,plain,
( ~ sQ459_spl
| ~ sQ274_spl
| h2(e14) = h1(e13) ),
inference(forward_demodulation,[status(thm)],[f6806,f6641]) ).
fof(f8270,plain,
( sQ347_spl
| h3(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f6266,f7747]) ).
fof(f8274,plain,
( ~ sQ98_spl
| op1(e13,e10) != e13 ),
inference(backward_demodulation,[status(thm)],[f2640,f278]) ).
fof(f8282,plain,
( ~ sQ98_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f8274,f2575,f2639]) ).
fof(f8299,plain,
( sQ388_spl
| ~ sQ510_spl
| h4(op1(e14,e14)) != op2(e22,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f7832,f3759]) ).
fof(f8300,plain,
( sQ388_spl
| ~ sQ510_spl
| h4(op1(e14,e14)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f7832,f8299]) ).
fof(f8301,plain,
( sQ388_spl
| ~ sQ510_spl
| h4(op1(e14,e14)) != e23 ),
inference(forward_demodulation,[status(thm)],[f550,f8300]) ).
fof(f8315,plain,
( ~ sQ510_spl
| op2(e21,e24) != e22 ),
inference(forward_demodulation,[status(thm)],[f7832,f6406]) ).
fof(f8320,plain,
( sQ387_spl
| ~ sQ510_spl
| h4(op1(e14,e13)) != op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f7832,f7455]) ).
fof(f8322,plain,
( sQ388_spl
| ~ sQ510_spl
| ~ sQ122_spl
| h4(e12) != e23 ),
inference(backward_demodulation,[status(thm)],[f2717,f8301]) ).
fof(f8329,plain,
( sQ388_spl
| ~ sQ510_spl
| ~ sQ122_spl
| ~ sQ513_spl ),
inference(split_clause,[status(thm)],[f8322,f4246,f2716,f4233,f3757]) ).
fof(f8338,plain,
( sQ386_spl
| ~ sQ510_spl
| h4(op1(e14,e12)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f7832,f6060]) ).
fof(f8342,plain,
( sQ378_spl
| ~ sQ510_spl
| h4(op1(e12,e14)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f7832,f6145]) ).
fof(f8343,plain,
( sQ378_spl
| ~ sQ510_spl
| h4(op1(e12,e14)) != e21 ),
inference(forward_demodulation,[status(thm)],[f6266,f8342]) ).
fof(f8367,plain,
( sQ382_spl
| ~ sQ510_spl
| e22 != op2(e24,e24) ),
inference(forward_demodulation,[status(thm)],[f7832,f7450]) ).
fof(f8371,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2455,f7946]) ).
fof(f8372,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f8371]) ).
fof(f8376,plain,
( sQ387_spl
| ~ sQ510_spl
| h4(op1(e14,e13)) != h5(e11) ),
inference(backward_demodulation,[status(thm)],[f8386,f8320]) ).
fof(f8386,plain,
( ~ sQ510_spl
| h5(e11) = op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f7832,f6416]) ).
fof(f8397,plain,
( ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2439,f7947]) ).
fof(f8398,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f8397]) ).
fof(f8399,plain,
( ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2707,f6253]) ).
fof(f8400,plain,
~ sQ119_spl,
inference(contradiction_clause,[status(thm)],[f8399]) ).
fof(f8419,plain,
( ~ sQ130_spl
| ~ sQ274_spl
| h1(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f6806,f2793]) ).
fof(f8420,plain,
( ~ sQ130_spl
| ~ sQ274_spl
| sQ439_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8419,f3937]) ).
fof(f8421,plain,
( ~ sQ130_spl
| ~ sQ274_spl
| sQ439_spl ),
inference(contradiction_clause,[status(thm)],[f8420]) ).
fof(f8422,plain,
( sQ216_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f6266,f3069]) ).
fof(f8423,plain,
( sQ216_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8422]) ).
fof(f8424,plain,
sQ216_spl,
inference(contradiction_clause,[status(thm)],[f8423]) ).
fof(f8425,plain,
( ~ sQ134_spl
| ~ sQ274_spl
| h1(e13) = e24 ),
inference(forward_demodulation,[status(thm)],[f6806,f2805]) ).
fof(f8426,plain,
( ~ sQ134_spl
| ~ sQ274_spl
| sQ294_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8425,f3465]) ).
fof(f8427,plain,
( ~ sQ134_spl
| ~ sQ274_spl
| sQ294_spl ),
inference(contradiction_clause,[status(thm)],[f8426]) ).
fof(f8430,plain,
( ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3013,f6281]) ).
fof(f8431,plain,
~ sQ199_spl,
inference(contradiction_clause,[status(thm)],[f8430]) ).
fof(f8432,plain,
( ~ sQ159_spl
| ~ sQ156_spl
| e21 = e24 ),
inference(forward_demodulation,[status(thm)],[f2876,f2885]) ).
fof(f8433,plain,
( ~ sQ159_spl
| ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8432,f411]) ).
fof(f8434,plain,
( ~ sQ159_spl
| ~ sQ156_spl ),
inference(contradiction_clause,[status(thm)],[f8433]) ).
fof(f8437,plain,
( ~ sQ212_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f8255,f2974,f3054]) ).
fof(f8446,plain,
( ~ sQ215_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f6266,f3065]) ).
fof(f8447,plain,
( ~ sQ215_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8446,f405]) ).
fof(f8448,plain,
~ sQ215_spl,
inference(contradiction_clause,[status(thm)],[f8447]) ).
fof(f8455,plain,
( ~ sQ132_spl
| ~ sQ274_spl
| h1(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f6806,f2799]) ).
fof(f8456,plain,
( ~ sQ132_spl
| ~ sQ274_spl
| sQ449_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8455,f3979]) ).
fof(f8457,plain,
( ~ sQ132_spl
| ~ sQ274_spl
| sQ449_spl ),
inference(contradiction_clause,[status(thm)],[f8456]) ).
fof(f8458,plain,
( ~ sQ218_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f6266,f3074]) ).
fof(f8459,plain,
( ~ sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8458,f410]) ).
fof(f8460,plain,
~ sQ218_spl,
inference(contradiction_clause,[status(thm)],[f8459]) ).
fof(f8479,plain,
( ~ sQ470_spl
| ~ sQ459_spl
| ~ sQ274_spl
| h1(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f8269,f4066]) ).
fof(f8517,plain,
h3(e10) = op2(e21,op2(e23,e22)),
inference(forward_demodulation,[status(thm)],[f6266,f6338]) ).
fof(f8518,plain,
h3(e10) = op2(e21,e21),
inference(forward_demodulation,[status(thm)],[f6266,f8517]) ).
fof(f8519,plain,
h3(e10) = e20,
inference(forward_demodulation,[status(thm)],[f6265,f8518]) ).
fof(f8520,plain,
( sQ476_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8519,f4093]) ).
fof(f8521,plain,
sQ476_spl,
inference(contradiction_clause,[status(thm)],[f8520]) ).
fof(f8538,plain,
( ~ sQ274_spl
| ~ sQ439_spl
| e20 = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f3936,f6806]) ).
fof(f8541,plain,
( ~ sQ439_spl
| e20 != op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f3936,f6301]) ).
fof(f8543,plain,
( ~ sQ439_spl
| e20 != op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f3936,f6297]) ).
fof(f8544,plain,
( ~ sQ439_spl
| e20 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f3936,f6296]) ).
fof(f8545,plain,
( ~ sQ439_spl
| e20 != op2(e20,e24) ),
inference(backward_demodulation,[status(thm)],[f3936,f6295]) ).
fof(f8550,plain,
( ~ sQ439_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f8541,f2952,f3935]) ).
fof(f8551,plain,
( ~ sQ439_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f8543,f2824,f3935]) ).
fof(f8556,plain,
( ~ sQ148_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f7023,f2929,f2849]) ).
fof(f8559,plain,
( ~ sQ219_spl
| e21 = e24 ),
inference(forward_demodulation,[status(thm)],[f6266,f3077]) ).
fof(f8560,plain,
( ~ sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8559,f411]) ).
fof(f8561,plain,
~ sQ219_spl,
inference(contradiction_clause,[status(thm)],[f8560]) ).
fof(f8563,plain,
h3(e11) = e21,
inference(forward_demodulation,[status(thm)],[f6266,f6357]) ).
fof(f8564,plain,
( sQ482_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8563,f4118]) ).
fof(f8565,plain,
sQ482_spl,
inference(contradiction_clause,[status(thm)],[f8564]) ).
fof(f8566,plain,
( sQ347_spl
| ~ sQ482_spl ),
inference(split_clause,[status(thm)],[f8270,f4116,f3629]) ).
fof(f8570,plain,
( sQ336_spl
| ~ sQ482_spl
| ~ sQ459_spl
| ~ sQ476_spl ),
inference(split_clause,[status(thm)],[f7752,f4091,f4019,f4116,f3596]) ).
fof(f8573,plain,
op2(e20,e22) != e21,
inference(forward_demodulation,[status(thm)],[f6266,f317]) ).
fof(f8576,plain,
e21 != op2(e24,e22),
inference(forward_demodulation,[status(thm)],[f6266,f324]) ).
fof(f8577,plain,
op2(e23,e20) != e21,
inference(forward_demodulation,[status(thm)],[f6266,f376]) ).
fof(f8579,plain,
e21 != op2(e23,e24),
inference(forward_demodulation,[status(thm)],[f6266,f383]) ).
fof(f8630,plain,
( sQ346_spl
| ~ sQ82_spl
| h3(e12) != op2(e23,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2589,f6480]) ).
fof(f8631,plain,
( sQ346_spl
| ~ sQ82_spl
| e22 != op2(e23,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f562,f8630]) ).
fof(f8652,plain,
( sQ346_spl
| ~ sQ82_spl
| e22 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f8563,f8631]) ).
fof(f8655,plain,
( sQ337_spl
| h3(op1(e11,e12)) != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f8563,f6522]) ).
fof(f8660,plain,
( sQ346_spl
| ~ sQ82_spl
| ~ sQ212_spl ),
inference(split_clause,[status(thm)],[f8652,f3054,f2588,f3626]) ).
fof(f8662,plain,
( ~ sQ346_spl
| ~ sQ82_spl
| h3(e12) = op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2589,f3627]) ).
fof(f8663,plain,
( ~ sQ346_spl
| ~ sQ82_spl
| e22 = op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f562,f8662]) ).
fof(f8664,plain,
( ~ sQ346_spl
| ~ sQ82_spl
| e22 = op2(e23,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f6359,f8663]) ).
fof(f8665,plain,
( ~ sQ346_spl
| ~ sQ82_spl
| e22 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f8563,f8664]) ).
fof(f8695,plain,
( ~ sQ122_spl
| op1(e14,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f2717,f293]) ).
fof(f8754,plain,
( ~ sQ226_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3100,f8579]) ).
fof(f8755,plain,
~ sQ226_spl,
inference(contradiction_clause,[status(thm)],[f8754]) ).
fof(f8763,plain,
( ~ sQ170_spl
| ~ sQ459_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2921,f8175]) ).
fof(f8764,plain,
( ~ sQ170_spl
| ~ sQ459_spl ),
inference(contradiction_clause,[status(thm)],[f8763]) ).
fof(f8765,plain,
( ~ sQ112_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2685,f8695]) ).
fof(f8766,plain,
( ~ sQ112_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f8765]) ).
fof(f8769,plain,
( ~ sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3148,f8576]) ).
fof(f8770,plain,
~ sQ241_spl,
inference(contradiction_clause,[status(thm)],[f8769]) ).
fof(f8777,plain,
( ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3109,f6276]) ).
fof(f8778,plain,
~ sQ229_spl,
inference(contradiction_clause,[status(thm)],[f8777]) ).
fof(f8783,plain,
( ~ sQ347_spl
| op2(e21,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f8563,f7545]) ).
fof(f8784,plain,
( ~ sQ156_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f8149,f2955,f2875]) ).
fof(f8791,plain,
( ~ sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3036,f8577]) ).
fof(f8792,plain,
~ sQ206_spl,
inference(contradiction_clause,[status(thm)],[f8791]) ).
fof(f8802,plain,
( ~ sQ129_spl
| op1(e14,e10) = e10 ),
inference(backward_demodulation,[status(thm)],[f2739,f48]) ).
fof(f8803,plain,
( ~ sQ129_spl
| op1(e10,e14) = e10 ),
inference(backward_demodulation,[status(thm)],[f2739,f49]) ).
fof(f8812,plain,
( ~ sQ129_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f8802,f2646,f2738]) ).
fof(f8813,plain,
( ~ sQ129_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f8803,f2390,f2738]) ).
fof(f8864,plain,
( ~ sQ175_spl
| ~ sQ459_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2937,f8176]) ).
fof(f8865,plain,
( ~ sQ175_spl
| ~ sQ459_spl ),
inference(contradiction_clause,[status(thm)],[f8864]) ).
fof(f8872,plain,
( sQ382_spl
| ~ sQ510_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f8367,f3182,f4233,f3739]) ).
fof(f8874,plain,
( ~ sQ510_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f8315,f2942,f4233]) ).
fof(f8966,plain,
( sQ313_spl
| ~ sQ459_spl
| h2(e11) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f8196,f7687]) ).
fof(f8967,plain,
( sQ313_spl
| ~ sQ459_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8966]) ).
fof(f8968,plain,
( sQ313_spl
| ~ sQ459_spl ),
inference(contradiction_clause,[status(thm)],[f8967]) ).
fof(f8985,plain,
( sQ302_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6307,f7838]) ).
fof(f8986,plain,
sQ302_spl,
inference(contradiction_clause,[status(thm)],[f8985]) ).
fof(f9012,plain,
( ~ sQ346_spl
| ~ sQ82_spl
| e22 != op2(e24,e21) ),
inference(backward_demodulation,[status(thm)],[f8665,f314]) ).
fof(f9016,plain,
( ~ sQ346_spl
| ~ sQ82_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f9012,f3134,f2588,f3626]) ).
fof(f9017,plain,
( ~ sQ236_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f7214,f2811,f3131]) ).
fof(f9018,plain,
( ~ sQ136_spl
| ~ sQ459_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f8196,f2812]) ).
fof(f9019,plain,
( ~ sQ136_spl
| ~ sQ459_spl
| sQ462_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9018,f4034]) ).
fof(f9020,plain,
( ~ sQ136_spl
| ~ sQ459_spl
| sQ462_spl ),
inference(contradiction_clause,[status(thm)],[f9019]) ).
fof(f9056,plain,
( ~ sQ246_spl
| h4(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f6378,f3164]) ).
fof(f9057,plain,
( ~ sQ246_spl
| sQ502_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9056,f4202]) ).
fof(f9058,plain,
( ~ sQ246_spl
| sQ502_spl ),
inference(contradiction_clause,[status(thm)],[f9057]) ).
fof(f9066,plain,
( ~ sQ246_spl
| op2(e24,e20) != e21 ),
inference(backward_demodulation,[status(thm)],[f9056,f6374]) ).
fof(f9070,plain,
( ~ sQ246_spl
| e21 != op2(e24,e24) ),
inference(backward_demodulation,[status(thm)],[f9056,f6371]) ).
fof(f9098,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2828,f8573]) ).
fof(f9099,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f9098]) ).
fof(f9130,plain,
( ~ sQ39_spl
| e14 != op1(e14,e12) ),
inference(backward_demodulation,[status(thm)],[f2451,f221]) ).
fof(f9147,plain,
( sQ369_spl
| ~ sQ26_spl
| h4(e11) != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2410,f3702]) ).
fof(f9148,plain,
( sQ369_spl
| ~ sQ26_spl
| ~ sQ246_spl
| e21 != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f9056,f9147]) ).
fof(f9149,plain,
( sQ369_spl
| ~ sQ26_spl
| ~ sQ246_spl
| e21 != op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f9056,f9148]) ).
fof(f9150,plain,
( ~ sQ246_spl
| h4(e10) = op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f9056,f6379]) ).
fof(f9151,plain,
( ~ sQ246_spl
| h4(e10) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f9056,f9150]) ).
fof(f9152,plain,
( ~ sQ246_spl
| h4(e10) = e20 ),
inference(forward_demodulation,[status(thm)],[f6265,f9151]) ).
fof(f9153,plain,
( ~ sQ246_spl
| sQ496_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9152,f4177]) ).
fof(f9154,plain,
( ~ sQ246_spl
| sQ496_spl ),
inference(contradiction_clause,[status(thm)],[f9153]) ).
fof(f9155,plain,
( sQ370_spl
| ~ sQ502_spl
| ~ sQ459_spl
| ~ sQ496_spl ),
inference(split_clause,[status(thm)],[f7886,f4175,f4019,f4200,f3703]) ).
fof(f9168,plain,
( sQ369_spl
| ~ sQ26_spl
| ~ sQ246_spl
| ~ sQ496_spl
| e21 != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f4176,f9149]) ).
fof(f9176,plain,
( sQ369_spl
| ~ sQ26_spl
| ~ sQ246_spl
| ~ sQ496_spl
| ~ sQ156_spl ),
inference(split_clause,[status(thm)],[f9168,f2875,f4175,f3163,f2409,f3700]) ).
fof(f9261,plain,
( ~ sQ274_spl
| ~ sQ294_spl
| h1(e11) = op2(e24,e20) ),
inference(forward_demodulation,[status(thm)],[f3464,f8198]) ).
fof(f9296,plain,
( sQ230_spl
| ~ sQ274_spl
| ~ sQ294_spl
| h1(e11) != e20 ),
inference(forward_demodulation,[status(thm)],[f9261,f3114]) ).
fof(f9314,plain,
( ~ sQ259_spl
| op2(e24,e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f3205,f134]) ).
fof(f9315,plain,
( ~ sQ259_spl
| op2(e20,e24) = e20 ),
inference(backward_demodulation,[status(thm)],[f3205,f135]) ).
fof(f9324,plain,
( ~ sQ259_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f9314,f3112,f3204]) ).
fof(f9325,plain,
( ~ sQ259_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f9315,f2856,f3204]) ).
fof(f9363,plain,
( ~ sQ244_spl
| ~ sQ240_spl
| e20 = e24 ),
inference(forward_demodulation,[status(thm)],[f3145,f3157]) ).
fof(f9364,plain,
( ~ sQ244_spl
| ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9363,f408]) ).
fof(f9365,plain,
( ~ sQ244_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f9364]) ).
fof(f9372,plain,
( ~ sQ470_spl
| ~ sQ459_spl
| ~ sQ274_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f8479,f3977,f3400,f4019,f4065]) ).
fof(f9376,plain,
( sQ371_spl
| ~ sQ39_spl
| h4(e14) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f2451,f6230]) ).
fof(f9527,plain,
( ~ sQ125_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f2727,f48]) ).
fof(f9544,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| e14 = e13 ),
inference(forward_demodulation,[status(thm)],[f2403,f2400]) ).
fof(f9545,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9544,f404]) ).
fof(f9546,plain,
( ~ sQ23_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f9545]) ).
fof(f9552,plain,
( sQ337_spl
| ~ sQ39_spl
| h3(e14) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2451,f8655]) ).
fof(f9553,plain,
( sQ337_spl
| ~ sQ39_spl
| ~ sQ363_spl
| e24 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f3682,f9552]) ).
fof(f9665,plain,
( ~ sQ121_spl
| op1(e14,e13) != e11 ),
inference(forward_demodulation,[status(thm)],[f2714,f294]) ).
fof(f9678,plain,
( ~ sQ24_spl
| e14 != op1(e14,e14) ),
inference(forward_demodulation,[status(thm)],[f2403,f238]) ).
fof(f9790,plain,
( ~ sQ128_spl
| op1(e13,e11) = e11 ),
inference(backward_demodulation,[status(thm)],[f2736,f50]) ).
fof(f9798,plain,
( ~ sQ128_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f9790,f2585,f2735]) ).
fof(f9817,plain,
( ~ sQ125_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f9527,f2326,f2726]) ).
fof(f9838,plain,
( ~ sQ39_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f9130,f2690,f2450]) ).
fof(f9841,plain,
( ~ sQ26_spl
| e11 != op1(e12,e10) ),
inference(forward_demodulation,[status(thm)],[f2410,f199]) ).
fof(f9845,plain,
( ~ sQ239_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f8168,f3124,f3140]) ).
fof(f9852,plain,
( ~ sQ82_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f8053,f2508,f2588]) ).
fof(f9888,plain,
h5(e10) = op2(op2(h4(e14),e24),h5(e11)),
inference(backward_demodulation,[status(thm)],[f6416,f6577]) ).
fof(f9889,plain,
h5(e10) = op2(h5(e11),h5(e11)),
inference(forward_demodulation,[status(thm)],[f6416,f9888]) ).
fof(f9904,plain,
( ~ sQ449_spl
| e22 != op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f3978,f6301]) ).
fof(f9923,plain,
( sQ381_spl
| h4(e11) != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f6378,f7563]) ).
fof(f9924,plain,
( sQ381_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f9923]) ).
fof(f9925,plain,
sQ381_spl,
inference(contradiction_clause,[status(thm)],[f9924]) ).
fof(f10044,plain,
( ~ sQ233_spl
| op2(e23,e20) != e23 ),
inference(backward_demodulation,[status(thm)],[f3122,f304]) ).
fof(f10049,plain,
( ~ sQ125_spl
| op1(e10,e11) = e11 ),
inference(backward_demodulation,[status(thm)],[f2727,f50]) ).
fof(f10051,plain,
( ~ sQ125_spl
| op1(e10,e12) = e12 ),
inference(backward_demodulation,[status(thm)],[f2727,f52]) ).
fof(f10052,plain,
( ~ sQ125_spl
| op1(e12,e10) = e12 ),
inference(backward_demodulation,[status(thm)],[f2727,f53]) ).
fof(f10053,plain,
( ~ sQ125_spl
| op1(e10,e13) = e13 ),
inference(backward_demodulation,[status(thm)],[f2727,f54]) ).
fof(f10054,plain,
( ~ sQ125_spl
| op1(e13,e10) = e13 ),
inference(backward_demodulation,[status(thm)],[f2727,f55]) ).
fof(f10055,plain,
( ~ sQ125_spl
| op1(e10,e14) = e14 ),
inference(backward_demodulation,[status(thm)],[f2727,f56]) ).
fof(f10056,plain,
( ~ sQ125_spl
| op1(e14,e10) = e14 ),
inference(backward_demodulation,[status(thm)],[f2727,f57]) ).
fof(f10061,plain,
( ~ sQ125_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f10049,f2345,f2726]) ).
fof(f10062,plain,
( ~ sQ125_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f10051,f2364,f2726]) ).
fof(f10063,plain,
( ~ sQ125_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f10053,f2383,f2726]) ).
fof(f10064,plain,
( ~ sQ125_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f10055,f2402,f2726]) ).
fof(f10071,plain,
( ~ sQ347_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f8783,f2907,f3629]) ).
fof(f10075,plain,
( ~ sQ246_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f9066,f3115,f3163]) ).
fof(f10076,plain,
( ~ sQ246_spl
| ~ sQ251_spl ),
inference(split_clause,[status(thm)],[f9070,f3179,f3163]) ).
fof(f10097,plain,
( ~ sQ182_spl
| ~ sQ449_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2959,f9904]) ).
fof(f10098,plain,
( ~ sQ182_spl
| ~ sQ449_spl ),
inference(contradiction_clause,[status(thm)],[f10097]) ).
fof(f10128,plain,
( ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2682,f8086]) ).
fof(f10129,plain,
~ sQ111_spl,
inference(contradiction_clause,[status(thm)],[f10128]) ).
fof(f10147,plain,
( ~ sQ125_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f10054,f2575,f2726]) ).
fof(f10148,plain,
( sQ367_spl
| ~ sQ496_spl
| h4(op1(e10,e13)) != op2(e20,e24) ),
inference(forward_demodulation,[status(thm)],[f4176,f6397]) ).
fof(f10149,plain,
( sQ364_spl
| ~ sQ496_spl
| h4(op1(e10,e10)) != op2(e20,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f4176,f3687]) ).
fof(f10150,plain,
( sQ364_spl
| ~ sQ496_spl
| h4(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4176,f10149]) ).
fof(f10151,plain,
( ~ sQ233_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f10044,f3041,f3121]) ).
fof(f10155,plain,
( ~ sQ24_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f9678,f2722,f2402]) ).
fof(f10156,plain,
( ~ sQ18_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f7030,f2463,f2383]) ).
fof(f10159,plain,
( ~ sQ439_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f8544,f2840,f3935]) ).
fof(f10162,plain,
( sQ384_spl
| ~ sQ496_spl
| h4(op1(e14,e10)) != op2(h4(e14),e20) ),
inference(forward_demodulation,[status(thm)],[f4176,f3747]) ).
fof(f10164,plain,
( ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2643,f6249]) ).
fof(f10165,plain,
~ sQ99_spl,
inference(contradiction_clause,[status(thm)],[f10164]) ).
fof(f10166,plain,
( ~ sQ121_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f9665,f2697,f2713]) ).
fof(f10167,plain,
( ~ sQ245_spl
| h4(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f6378,f3161]) ).
fof(f10168,plain,
( ~ sQ245_spl
| sQ497_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10167,f4181]) ).
fof(f10169,plain,
( ~ sQ245_spl
| sQ497_spl ),
inference(contradiction_clause,[status(thm)],[f10168]) ).
fof(f10176,plain,
( ~ sQ247_spl
| h4(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f6378,f3167]) ).
fof(f10179,plain,
( ~ sQ232_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f7326,f2958,f3118]) ).
fof(f10180,plain,
( sQ368_spl
| ~ sQ496_spl
| h4(op1(e10,e14)) != op2(e20,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f4176,f3699]) ).
fof(f10184,plain,
( sQ373_spl
| ~ sQ246_spl
| h4(op1(e11,e14)) != op2(e21,h4(e14)) ),
inference(backward_demodulation,[status(thm)],[f9056,f3714]) ).
fof(f10215,plain,
( sQ374_spl
| ~ sQ496_spl
| h4(op1(e12,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f4176,f6218]) ).
fof(f10269,plain,
( sQ374_spl
| ~ sQ496_spl
| ~ sQ52_spl
| h4(e12) != op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f2493,f10215]) ).
fof(f10272,plain,
( sQ374_spl
| ~ sQ496_spl
| ~ sQ52_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f567,f10269]) ).
fof(f10349,plain,
( ~ sQ496_spl
| e20 = op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f4176,f6379]) ).
fof(f10400,plain,
( sQ375_spl
| ~ sQ59_spl
| h4(e14) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2515,f6190]) ).
fof(f10450,plain,
( ~ sQ133_spl
| ~ sQ274_spl
| h1(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f6806,f2802]) ).
fof(f10451,plain,
( ~ sQ133_spl
| ~ sQ274_spl
| sQ454_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10450,f4000]) ).
fof(f10452,plain,
( ~ sQ133_spl
| ~ sQ274_spl
| sQ454_spl ),
inference(contradiction_clause,[status(thm)],[f10451]) ).
fof(f10476,plain,
( ~ sQ475_spl
| ~ sQ459_spl
| ~ sQ274_spl
| h1(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f8269,f4087]) ).
fof(f10501,plain,
( sQ378_spl
| ~ sQ510_spl
| ~ sQ71_spl
| h4(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f2554,f8343]) ).
fof(f10533,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2570,f8014]) ).
fof(f10534,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f10533]) ).
fof(f10541,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2442,f8085]) ).
fof(f10542,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f10541]) ).
fof(f10543,plain,
( ~ sQ208_spl
| ~ sQ454_spl ),
inference(split_clause,[status(thm)],[f7843,f3998,f3041]) ).
fof(f10582,plain,
( sQ378_spl
| ~ sQ510_spl
| ~ sQ71_spl
| ~ sQ502_spl ),
inference(split_clause,[status(thm)],[f10501,f4200,f2553,f4233,f3727]) ).
fof(f10592,plain,
( sQ364_spl
| ~ sQ496_spl
| ~ sQ274_spl
| h4(op1(e10,e10)) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f6806,f10150]) ).
fof(f10698,plain,
( ~ sQ184_spl
| e24 != op2(e24,e20) ),
inference(backward_demodulation,[status(thm)],[f2965,f303]) ).
fof(f10702,plain,
( ~ sQ184_spl
| ~ sQ234_spl ),
inference(split_clause,[status(thm)],[f10698,f3124,f2964]) ).
fof(f10721,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2407,f7948]) ).
fof(f10722,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f10721]) ).
fof(f10723,plain,
( ~ sQ195_spl
| ~ sQ197_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f3007,f3001]) ).
fof(f10724,plain,
( ~ sQ195_spl
| ~ sQ197_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10723,f406]) ).
fof(f10725,plain,
( ~ sQ195_spl
| ~ sQ197_spl ),
inference(contradiction_clause,[status(thm)],[f10724]) ).
fof(f10750,plain,
( sQ352_spl
| ~ sQ363_spl
| ~ sQ240_spl
| h3(op1(e14,e12)) != e20 ),
inference(forward_demodulation,[status(thm)],[f3145,f7575]) ).
fof(f10752,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2362,f8087]) ).
fof(f10753,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f10752]) ).
fof(f10763,plain,
( sQ374_spl
| ~ sQ496_spl
| ~ sQ52_spl
| ~ sQ208_spl ),
inference(split_clause,[status(thm)],[f10272,f3041,f2492,f4175,f3715]) ).
fof(f10829,plain,
( ~ sQ496_spl
| ~ sQ247_spl
| e20 = op2(h4(e11),e22) ),
inference(backward_demodulation,[status(thm)],[f10176,f10349]) ).
fof(f10830,plain,
( ~ sQ496_spl
| ~ sQ247_spl
| e20 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f10176,f10829]) ).
fof(f10831,plain,
( ~ sQ496_spl
| ~ sQ247_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f550,f10830]) ).
fof(f10832,plain,
( ~ sQ496_spl
| ~ sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f10831,f407]) ).
fof(f10833,plain,
( ~ sQ496_spl
| ~ sQ247_spl ),
inference(contradiction_clause,[status(thm)],[f10832]) ).
fof(f10888,plain,
( ~ sQ95_spl
| e10 != op1(e14,e14) ),
inference(backward_demodulation,[status(thm)],[f2631,f244]) ).
fof(f10892,plain,
( ~ sQ95_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f10888,f2710,f2630]) ).
fof(f10915,plain,
( ~ sQ26_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f9841,f2489,f2409]) ).
fof(f10927,plain,
( ~ sQ439_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f8545,f2856,f3935]) ).
fof(f10934,plain,
( ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2595,f6251]) ).
fof(f10935,plain,
~ sQ84_spl,
inference(contradiction_clause,[status(thm)],[f10934]) ).
fof(f10959,plain,
( ~ sQ274_spl
| ~ sQ439_spl
| h1(e11) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f3936,f8198]) ).
fof(f10964,plain,
( ~ sQ274_spl
| ~ sQ439_spl
| h1(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f8538,f10959]) ).
fof(f11002,plain,
( ~ sQ126_spl
| op1(e11,e11) = e11 ),
inference(backward_demodulation,[status(thm)],[f2730,f51]) ).
fof(f11010,plain,
( ~ sQ126_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f11002,f2425,f2729]) ).
fof(f11013,plain,
( ~ sQ125_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f10052,f2492,f2726]) ).
fof(f11138,plain,
( sQ404_spl
| h5(e10) != h5(e10) ),
inference(forward_demodulation,[status(thm)],[f9889,f7672]) ).
fof(f11139,plain,
( sQ404_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f11138]) ).
fof(f11140,plain,
sQ404_spl,
inference(contradiction_clause,[status(thm)],[f11139]) ).
fof(f11303,plain,
( sQ386_spl
| ~ sQ510_spl
| ~ sQ195_spl
| h4(op1(e14,e12)) != e20 ),
inference(forward_demodulation,[status(thm)],[f3001,f8338]) ).
fof(f11388,plain,
( ~ sQ123_spl
| op1(e14,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f2720,f291]) ).
fof(f11390,plain,
( ~ sQ123_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f11388,f2671,f2719]) ).
fof(f11449,plain,
( ~ sQ255_spl
| op2(e24,e20) = e24 ),
inference(backward_demodulation,[status(thm)],[f3193,f143]) ).
fof(f11450,plain,
( ~ sQ255_spl
| op2(e20,e24) = e24 ),
inference(backward_demodulation,[status(thm)],[f3193,f142]) ).
fof(f11451,plain,
( ~ sQ255_spl
| op2(e23,e20) = e23 ),
inference(backward_demodulation,[status(thm)],[f3193,f141]) ).
fof(f11452,plain,
( ~ sQ255_spl
| op2(e20,e23) = e23 ),
inference(backward_demodulation,[status(thm)],[f3193,f140]) ).
fof(f11453,plain,
( ~ sQ255_spl
| op2(e22,e20) = e22 ),
inference(backward_demodulation,[status(thm)],[f3193,f139]) ).
fof(f11454,plain,
( ~ sQ255_spl
| op2(e20,e22) = e22 ),
inference(backward_demodulation,[status(thm)],[f3193,f138]) ).
fof(f11457,plain,
( ~ sQ255_spl
| op2(e20,e20) = e20 ),
inference(backward_demodulation,[status(thm)],[f3193,f135]) ).
fof(f11459,plain,
( ~ sQ255_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f11449,f3124,f3192]) ).
fof(f11460,plain,
( ~ sQ255_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f11450,f2868,f3192]) ).
fof(f11461,plain,
( ~ sQ255_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f11451,f3041,f3192]) ).
fof(f11462,plain,
( ~ sQ255_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f11452,f2849,f3192]) ).
fof(f11463,plain,
( ~ sQ255_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f11453,f2958,f3192]) ).
fof(f11464,plain,
( ~ sQ255_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f11454,f2830,f3192]) ).
fof(f11466,plain,
( ~ sQ255_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f11457,f2792,f3192]) ).
fof(f11476,plain,
( ~ sQ125_spl
| op1(e10,e13) = e13 ),
inference(forward_demodulation,[status(thm)],[f2727,f54]) ).
fof(f11492,plain,
( ~ sQ125_spl
| op1(e10,e12) = e12 ),
inference(forward_demodulation,[status(thm)],[f2727,f52]) ).
fof(f11519,plain,
( ~ sQ125_spl
| op1(e10,e10) = e10 ),
inference(forward_demodulation,[status(thm)],[f2727,f49]) ).
fof(f11729,plain,
( sQ379_spl
| ~ sQ78_spl
| h4(e13) != op2(e24,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f2576,f7442]) ).
fof(f11730,plain,
( sQ379_spl
| ~ sQ78_spl
| e24 != op2(e24,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f6399,f11729]) ).
fof(f11902,plain,
( ~ sQ496_spl
| ~ sQ511_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f4239,f4176]) ).
fof(f11903,plain,
( ~ sQ496_spl
| ~ sQ511_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11902,f407]) ).
fof(f11904,plain,
( ~ sQ496_spl
| ~ sQ511_spl ),
inference(contradiction_clause,[status(thm)],[f11903]) ).
fof(f11907,plain,
( sQ368_spl
| ~ sQ496_spl
| ~ sQ24_spl
| h4(e14) != op2(e20,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f2403,f10180]) ).
fof(f11913,plain,
( sQ364_spl
| ~ sQ496_spl
| ~ sQ274_spl
| ~ sQ125_spl
| h4(e10) != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f11519,f10592]) ).
fof(f11914,plain,
( sQ367_spl
| ~ sQ496_spl
| ~ sQ125_spl
| h4(e13) != op2(e20,e24) ),
inference(forward_demodulation,[status(thm)],[f11476,f10148]) ).
fof(f11915,plain,
( sQ367_spl
| ~ sQ496_spl
| ~ sQ125_spl
| e24 != op2(e20,e24) ),
inference(forward_demodulation,[status(thm)],[f6399,f11914]) ).
fof(f11916,plain,
( sQ384_spl
| ~ sQ496_spl
| ~ sQ125_spl
| h4(e14) != op2(h4(e14),e20) ),
inference(forward_demodulation,[status(thm)],[f10056,f10162]) ).
fof(f11922,plain,
( sQ373_spl
| ~ sQ246_spl
| ~ sQ48_spl
| h4(e13) != op2(e21,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f2480,f10184]) ).
fof(f11923,plain,
( sQ373_spl
| ~ sQ246_spl
| ~ sQ48_spl
| e24 != op2(e21,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f6399,f11922]) ).
fof(f12114,plain,
( sQ365_spl
| ~ sQ6_spl
| h4(e11) != op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2346,f3690]) ).
fof(f12115,plain,
( sQ365_spl
| ~ sQ6_spl
| ~ sQ246_spl
| e21 != op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f9056,f12114]) ).
fof(f12116,plain,
( sQ365_spl
| ~ sQ6_spl
| ~ sQ246_spl
| e21 != op2(e20,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f9152,f12115]) ).
fof(f12117,plain,
( sQ365_spl
| ~ sQ6_spl
| ~ sQ246_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f9056,f12116]) ).
fof(f12180,plain,
( sQ372_spl
| ~ sQ42_spl
| h4(e12) != op2(h4(e11),e24) ),
inference(forward_demodulation,[status(thm)],[f2461,f6398]) ).
fof(f12181,plain,
( sQ372_spl
| ~ sQ42_spl
| e23 != op2(h4(e11),e24) ),
inference(forward_demodulation,[status(thm)],[f567,f12180]) ).
fof(f12196,plain,
( ~ sQ258_spl
| op2(e23,e24) = e24 ),
inference(forward_demodulation,[status(thm)],[f3202,f142]) ).
fof(f12288,plain,
( ~ sQ258_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f12196,f3108,f3201]) ).
fof(f12380,plain,
( sQ352_spl
| ~ sQ363_spl
| ~ sQ240_spl
| ~ sQ110_spl
| h3(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f2679,f10750]) ).
fof(f12381,plain,
( sQ352_spl
| ~ sQ363_spl
| ~ sQ240_spl
| ~ sQ110_spl
| ~ sQ476_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4092,f12380]) ).
fof(f12382,plain,
( sQ352_spl
| ~ sQ363_spl
| ~ sQ240_spl
| ~ sQ110_spl
| ~ sQ476_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12381]) ).
fof(f12383,plain,
( sQ352_spl
| ~ sQ363_spl
| ~ sQ240_spl
| ~ sQ110_spl
| ~ sQ476_spl ),
inference(contradiction_clause,[status(thm)],[f12382]) ).
fof(f12396,plain,
( ~ sQ352_spl
| ~ sQ363_spl
| ~ sQ110_spl
| h3(e10) = op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f2679,f8131]) ).
fof(f12397,plain,
( ~ sQ352_spl
| ~ sQ363_spl
| ~ sQ110_spl
| ~ sQ476_spl
| e20 = op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f4092,f12396]) ).
fof(f12419,plain,
( sQ366_spl
| ~ sQ125_spl
| h4(e12) != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f11492,f6319]) ).
fof(f12420,plain,
( sQ366_spl
| ~ sQ125_spl
| e23 != op2(h4(e10),e23) ),
inference(forward_demodulation,[status(thm)],[f567,f12419]) ).
fof(f12421,plain,
( sQ377_spl
| ~ sQ65_spl
| h4(e10) != op2(e23,e24) ),
inference(forward_demodulation,[status(thm)],[f2535,f7441]) ).
fof(f12443,plain,
( sQ383_spl
| ~ sQ95_spl
| h4(e10) != op2(e24,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f2631,f7452]) ).
fof(f12452,plain,
( sQ383_spl
| ~ sQ95_spl
| ~ sQ496_spl
| e20 != op2(e24,h4(e14)) ),
inference(backward_demodulation,[status(thm)],[f4176,f12443]) ).
fof(f12456,plain,
( sQ377_spl
| ~ sQ65_spl
| ~ sQ496_spl
| e20 != op2(e23,e24) ),
inference(backward_demodulation,[status(thm)],[f4176,f12421]) ).
fof(f12457,plain,
( sQ366_spl
| ~ sQ125_spl
| ~ sQ496_spl
| e23 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f4176,f12420]) ).
fof(f12557,plain,
( ~ sQ302_spl
| ~ sQ466_spl
| e22 = op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4050,f7858]) ).
fof(f12591,plain,
( ~ sQ256_spl
| op2(e21,e21) = e21 ),
inference(backward_demodulation,[status(thm)],[f3196,f136]) ).
fof(f12599,plain,
( ~ sQ256_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f12591,f2891,f3195]) ).
fof(f12603,plain,
( sQ385_spl
| ~ sQ510_spl
| ~ sQ108_spl
| h4(e13) != op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2672,f8222]) ).
fof(f12604,plain,
( sQ385_spl
| ~ sQ510_spl
| ~ sQ108_spl
| e24 != op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f6399,f12603]) ).
fof(f12606,plain,
( sQ387_spl
| ~ sQ510_spl
| ~ sQ116_spl
| h4(e11) != h5(e11) ),
inference(forward_demodulation,[status(thm)],[f2698,f8376]) ).
fof(f12609,plain,
( sQ386_spl
| ~ sQ510_spl
| ~ sQ195_spl
| ~ sQ110_spl
| h4(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f2679,f11303]) ).
fof(f12610,plain,
( sQ386_spl
| ~ sQ510_spl
| ~ sQ195_spl
| ~ sQ110_spl
| ~ sQ496_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f4176,f12609]) ).
fof(f12611,plain,
( sQ386_spl
| ~ sQ510_spl
| ~ sQ195_spl
| ~ sQ110_spl
| ~ sQ496_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f12610]) ).
fof(f12612,plain,
( sQ386_spl
| ~ sQ510_spl
| ~ sQ195_spl
| ~ sQ110_spl
| ~ sQ496_spl ),
inference(contradiction_clause,[status(thm)],[f12611]) ).
fof(f12622,plain,
( sQ337_spl
| ~ sQ39_spl
| ~ sQ363_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f9553,f2916,f3681,f2450,f3599]) ).
fof(f12623,plain,
( ~ sQ475_spl
| ~ sQ459_spl
| ~ sQ274_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f10476,f3998,f3400,f4019,f4086]) ).
fof(f12671,plain,
( ~ sQ337_spl
| ~ sQ39_spl
| h3(e14) = op2(h3(e11),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2451,f3600]) ).
fof(f12672,plain,
( ~ sQ337_spl
| ~ sQ39_spl
| ~ sQ363_spl
| e24 = op2(h3(e11),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f3682,f12671]) ).
fof(f12673,plain,
( ~ sQ337_spl
| ~ sQ39_spl
| ~ sQ363_spl
| e24 = op2(e21,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f8563,f12672]) ).
fof(f12674,plain,
( ~ sQ337_spl
| ~ sQ39_spl
| ~ sQ363_spl
| e24 = op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f562,f12673]) ).
fof(f12680,plain,
( sQ365_spl
| ~ sQ6_spl
| ~ sQ246_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f12117,f2811,f3163,f2345,f3688]) ).
fof(f12746,plain,
( ~ sQ510_spl
| h5(e11) = op2(e22,e24) ),
inference(forward_demodulation,[status(thm)],[f7832,f6416]) ).
fof(f12755,plain,
( sQ379_spl
| ~ sQ78_spl
| ~ sQ496_spl
| e24 != op2(e24,e20) ),
inference(forward_demodulation,[status(thm)],[f4176,f11730]) ).
fof(f12781,plain,
( ~ sQ302_spl
| ~ sQ466_spl
| ~ sQ136_spl
| ~ sQ459_spl
| e22 = op2(h2(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f9018,f12557]) ).
fof(f12787,plain,
( ~ sQ302_spl
| ~ sQ466_spl
| ~ sQ136_spl
| ~ sQ459_spl
| e22 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f9018,f12781]) ).
fof(f12788,plain,
( ~ sQ302_spl
| ~ sQ466_spl
| ~ sQ136_spl
| ~ sQ459_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f6265,f12787]) ).
fof(f12789,plain,
( ~ sQ302_spl
| ~ sQ466_spl
| ~ sQ136_spl
| ~ sQ459_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12788,f406]) ).
fof(f12790,plain,
( ~ sQ302_spl
| ~ sQ466_spl
| ~ sQ136_spl
| ~ sQ459_spl ),
inference(contradiction_clause,[status(thm)],[f12789]) ).
fof(f12821,plain,
( ~ sQ302_spl
| ~ sQ471_spl
| ~ sQ136_spl
| ~ sQ459_spl
| e23 = op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f9018,f7859]) ).
fof(f12822,plain,
( ~ sQ302_spl
| ~ sQ471_spl
| ~ sQ136_spl
| ~ sQ459_spl
| e23 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f9018,f12821]) ).
fof(f12823,plain,
( ~ sQ302_spl
| ~ sQ471_spl
| ~ sQ136_spl
| ~ sQ459_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f6265,f12822]) ).
fof(f12824,plain,
( ~ sQ302_spl
| ~ sQ471_spl
| ~ sQ136_spl
| ~ sQ459_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12823,f407]) ).
fof(f12825,plain,
( ~ sQ302_spl
| ~ sQ471_spl
| ~ sQ136_spl
| ~ sQ459_spl ),
inference(contradiction_clause,[status(thm)],[f12824]) ).
fof(f12839,plain,
( sQ368_spl
| ~ sQ496_spl
| ~ sQ24_spl
| ~ sQ510_spl
| e22 != op2(e20,h4(e14)) ),
inference(forward_demodulation,[status(thm)],[f7832,f11907]) ).
fof(f12840,plain,
( sQ368_spl
| ~ sQ496_spl
| ~ sQ24_spl
| ~ sQ510_spl
| e22 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f7832,f12839]) ).
fof(f12862,plain,
( sQ387_spl
| ~ sQ510_spl
| ~ sQ116_spl
| ~ sQ246_spl
| e21 != h5(e11) ),
inference(forward_demodulation,[status(thm)],[f9056,f12606]) ).
fof(f12876,plain,
( ~ sQ255_spl
| op2(e24,e20) = e24 ),
inference(forward_demodulation,[status(thm)],[f3193,f143]) ).
fof(f12877,plain,
( ~ sQ255_spl
| sQ379_spl
| ~ sQ78_spl
| ~ sQ496_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12876,f12755]) ).
fof(f12878,plain,
( ~ sQ255_spl
| sQ379_spl
| ~ sQ78_spl
| ~ sQ496_spl ),
inference(contradiction_clause,[status(thm)],[f12877]) ).
fof(f12893,plain,
( sQ385_spl
| ~ sQ510_spl
| ~ sQ108_spl
| ~ sQ246_spl
| e24 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f9056,f12604]) ).
fof(f12916,plain,
( ~ sQ255_spl
| op2(e20,e22) = e22 ),
inference(forward_demodulation,[status(thm)],[f3193,f138]) ).
fof(f12917,plain,
( ~ sQ255_spl
| sQ368_spl
| ~ sQ496_spl
| ~ sQ24_spl
| ~ sQ510_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12916,f12840]) ).
fof(f12918,plain,
( ~ sQ255_spl
| sQ368_spl
| ~ sQ496_spl
| ~ sQ24_spl
| ~ sQ510_spl ),
inference(contradiction_clause,[status(thm)],[f12917]) ).
fof(f12931,plain,
( ~ sQ255_spl
| op2(e22,e20) = e22 ),
inference(forward_demodulation,[status(thm)],[f3193,f139]) ).
fof(f12933,plain,
( sQ373_spl
| ~ sQ246_spl
| ~ sQ48_spl
| ~ sQ510_spl
| e24 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f7832,f11923]) ).
fof(f12947,plain,
( sQ371_spl
| ~ sQ39_spl
| ~ sQ510_spl
| e22 != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f7832,f9376]) ).
fof(f12948,plain,
( sQ371_spl
| ~ sQ39_spl
| ~ sQ510_spl
| ~ sQ246_spl
| e22 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f9056,f12947]) ).
fof(f12999,plain,
( ~ sQ189_spl
| sQ385_spl
| ~ sQ510_spl
| ~ sQ108_spl
| ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2981,f12893]) ).
fof(f13000,plain,
( ~ sQ189_spl
| sQ385_spl
| ~ sQ510_spl
| ~ sQ108_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f12999]) ).
fof(f13016,plain,
( ~ sQ337_spl
| ~ sQ39_spl
| ~ sQ363_spl
| sQ373_spl
| ~ sQ246_spl
| ~ sQ48_spl
| ~ sQ510_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f12674,f12933]) ).
fof(f13017,plain,
( ~ sQ337_spl
| ~ sQ39_spl
| ~ sQ363_spl
| sQ373_spl
| ~ sQ246_spl
| ~ sQ48_spl
| ~ sQ510_spl ),
inference(contradiction_clause,[status(thm)],[f13016]) ).
fof(f13025,plain,
( ~ sQ172_spl
| sQ371_spl
| ~ sQ39_spl
| ~ sQ510_spl
| ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2927,f12948]) ).
fof(f13026,plain,
( ~ sQ172_spl
| sQ371_spl
| ~ sQ39_spl
| ~ sQ510_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f13025]) ).
fof(f13031,plain,
( ~ sQ201_spl
| ~ sQ510_spl
| h5(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f12746,f3020]) ).
fof(f13032,plain,
( ~ sQ201_spl
| ~ sQ510_spl
| sQ522_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f13031,f4286]) ).
fof(f13033,plain,
( ~ sQ201_spl
| ~ sQ510_spl
| sQ522_spl ),
inference(contradiction_clause,[status(thm)],[f13032]) ).
fof(f13039,plain,
( sQ387_spl
| ~ sQ510_spl
| ~ sQ116_spl
| ~ sQ246_spl
| ~ sQ522_spl ),
inference(split_clause,[status(thm)],[f12862,f4284,f3163,f2697,f4233,f3754]) ).
fof(f13053,plain,
( sQ372_spl
| ~ sQ42_spl
| ~ sQ246_spl
| e23 != op2(e21,e24) ),
inference(forward_demodulation,[status(thm)],[f9056,f12181]) ).
fof(f13054,plain,
( sQ372_spl
| ~ sQ42_spl
| ~ sQ246_spl
| ~ sQ178_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2946,f13053]) ).
fof(f13055,plain,
( sQ372_spl
| ~ sQ42_spl
| ~ sQ246_spl
| ~ sQ178_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13054]) ).
fof(f13056,plain,
( sQ372_spl
| ~ sQ42_spl
| ~ sQ246_spl
| ~ sQ178_spl ),
inference(contradiction_clause,[status(thm)],[f13055]) ).
fof(f13072,plain,
( sQ375_spl
| ~ sQ59_spl
| ~ sQ510_spl
| e22 != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f7832,f10400]) ).
fof(f13073,plain,
( sQ375_spl
| ~ sQ59_spl
| ~ sQ510_spl
| ~ sQ246_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f9056,f13072]) ).
fof(f13074,plain,
( sQ375_spl
| ~ sQ59_spl
| ~ sQ510_spl
| ~ sQ246_spl
| ~ sQ212_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3055,f13073]) ).
fof(f13075,plain,
( sQ375_spl
| ~ sQ59_spl
| ~ sQ510_spl
| ~ sQ246_spl
| ~ sQ212_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13074]) ).
fof(f13076,plain,
( sQ375_spl
| ~ sQ59_spl
| ~ sQ510_spl
| ~ sQ246_spl
| ~ sQ212_spl ),
inference(contradiction_clause,[status(thm)],[f13075]) ).
fof(f13114,plain,
( sQ366_spl
| ~ sQ125_spl
| ~ sQ496_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f12457,f2849,f4175,f2726,f3691]) ).
fof(f13131,plain,
( sQ230_spl
| ~ sQ274_spl
| ~ sQ294_spl
| ~ sQ439_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f10964,f9296]) ).
fof(f13132,plain,
( sQ230_spl
| ~ sQ274_spl
| ~ sQ294_spl
| ~ sQ439_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13131]) ).
fof(f13133,plain,
( sQ230_spl
| ~ sQ274_spl
| ~ sQ294_spl
| ~ sQ439_spl ),
inference(contradiction_clause,[status(thm)],[f13132]) ).
fof(f13134,plain,
( sQ377_spl
| ~ sQ65_spl
| ~ sQ496_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f12456,f3096,f4175,f2534,f3724]) ).
fof(f13159,plain,
( sQ364_spl
| ~ sQ496_spl
| ~ sQ274_spl
| ~ sQ125_spl
| e20 != h1(e13) ),
inference(forward_demodulation,[status(thm)],[f4176,f11913]) ).
fof(f13160,plain,
( sQ364_spl
| ~ sQ496_spl
| ~ sQ274_spl
| ~ sQ125_spl
| ~ sQ439_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3936,f13159]) ).
fof(f13161,plain,
( sQ364_spl
| ~ sQ496_spl
| ~ sQ274_spl
| ~ sQ125_spl
| ~ sQ439_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13160]) ).
fof(f13162,plain,
( sQ364_spl
| ~ sQ496_spl
| ~ sQ274_spl
| ~ sQ125_spl
| ~ sQ439_spl ),
inference(contradiction_clause,[status(thm)],[f13161]) ).
fof(f13166,plain,
( sQ384_spl
| ~ sQ496_spl
| ~ sQ125_spl
| ~ sQ510_spl
| e22 != op2(h4(e14),e20) ),
inference(forward_demodulation,[status(thm)],[f7832,f11916]) ).
fof(f13167,plain,
( sQ384_spl
| ~ sQ496_spl
| ~ sQ125_spl
| ~ sQ510_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f7832,f13166]) ).
fof(f13168,plain,
( sQ384_spl
| ~ sQ496_spl
| ~ sQ125_spl
| ~ sQ510_spl
| ~ sQ255_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f12931,f13167]) ).
fof(f13169,plain,
( sQ384_spl
| ~ sQ496_spl
| ~ sQ125_spl
| ~ sQ510_spl
| ~ sQ255_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13168]) ).
fof(f13170,plain,
( sQ384_spl
| ~ sQ496_spl
| ~ sQ125_spl
| ~ sQ510_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f13169]) ).
fof(f13219,plain,
( sQ367_spl
| ~ sQ496_spl
| ~ sQ125_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f11915,f2868,f2726,f4175,f3694]) ).
fof(f13235,plain,
( sQ380_spl
| ~ sQ82_spl
| ~ sQ246_spl
| e23 != op2(e24,e21) ),
inference(forward_demodulation,[status(thm)],[f9056,f8225]) ).
fof(f13236,plain,
( sQ380_spl
| ~ sQ82_spl
| ~ sQ246_spl
| ~ sQ238_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3138,f13235]) ).
fof(f13237,plain,
( sQ380_spl
| ~ sQ82_spl
| ~ sQ246_spl
| ~ sQ238_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13236]) ).
fof(f13238,plain,
( sQ380_spl
| ~ sQ82_spl
| ~ sQ246_spl
| ~ sQ238_spl ),
inference(contradiction_clause,[status(thm)],[f13237]) ).
fof(f13245,plain,
( sQ383_spl
| ~ sQ95_spl
| ~ sQ496_spl
| ~ sQ510_spl
| e20 != op2(e24,e22) ),
inference(forward_demodulation,[status(thm)],[f7832,f12452]) ).
fof(f13246,plain,
( sQ383_spl
| ~ sQ95_spl
| ~ sQ496_spl
| ~ sQ510_spl
| ~ sQ352_spl
| ~ sQ363_spl
| ~ sQ110_spl
| ~ sQ476_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f12397,f13245]) ).
fof(f13247,plain,
( sQ383_spl
| ~ sQ95_spl
| ~ sQ496_spl
| ~ sQ510_spl
| ~ sQ352_spl
| ~ sQ363_spl
| ~ sQ110_spl
| ~ sQ476_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f13246]) ).
fof(f13248,plain,
( sQ383_spl
| ~ sQ95_spl
| ~ sQ496_spl
| ~ sQ510_spl
| ~ sQ352_spl
| ~ sQ363_spl
| ~ sQ110_spl
| ~ sQ476_spl ),
inference(contradiction_clause,[status(thm)],[f13247]) ).
fof(f13249,plain,
$false,
inference(sat_refutation,[status(thm)],[f2437,f2453,f2469,f2517,f2629,f2693,f2725,f2741,f2754,f2759,f2762,f2764,f2765,f2772,f2775,f2776,f2789,f2903,f2919,f2935,f2951,f3095,f3207,f3210,f3220,f3228,f3229,f3230,f3241,f3249,f3252,f3275,f3350,f3787,f3905,f3917,f3938,f4022,f4039,f4069,f4090,f4094,f4119,f4144,f4169,f4178,f4203,f4236,f4249,f4349,f4358,f4369,f4378,f4389,f4398,f4406,f4417,f4426,f4434,f4442,f4450,f4458,f4466,f4474,f4482,f4483,f4490,f4498,f4506,f4514,f4522,f4530,f4538,f4546,f4554,f4562,f4570,f4578,f4586,f4594,f4602,f4610,f4618,f4626,f4634,f4642,f4650,f4658,f4666,f4674,f4682,f4690,f4698,f4706,f4714,f4722,f4730,f4738,f4746,f4754,f4763,f4770,f4778,f4786,f4794,f4802,f4810,f4818,f4834,f4842,f4851,f4858,f4866,f4867,f4874,f4883,f4898,f4906,f4922,f4930,f4938,f4946,f4962,f4970,f4986,f4994,f5002,f5010,f5026,f5034,f5050,f5058,f5059,f5066,f5075,f5090,f5091,f5098,f5114,f5122,f5123,f5130,f5154,f5162,f5178,f5186,f5194,f5218,f5227,f5242,f5250,f5259,f5282,f5306,f5314,f5322,f5346,f5347,f5370,f5378,f5379,f5387,f5410,f5411,f5434,f5442,f5443,f5474,f5498,f5506,f5538,f5562,f5570,f5602,f5628,f5634,f5654,f5666,f5690,f5698,f5717,f5731,f5754,f5762,f5774,f5779,f5810,f5818,f5827,f5850,f5855,f5872,f5884,f5971,f5981,f5991,f5995,f5998,f6003,f6012,f6021,f6031,f6035,f6038,f6043,f6055,f6069,f6072,f6076,f6084,f6096,f6106,f6138,f6151,f6165,f6229,f6364,f6389,f6421,f6440,f6443,f6446,f6459,f6496,f6504,f6546,f6556,f6559,f6583,f6586,f6590,f6599,f6605,f6627,f6644,f6651,f6683,f6775,f6799,f6816,f6856,f6865,f6869,f6872,f6875,f6878,f6882,f6891,f6895,f6948,f6956,f6960,f6967,f6974,f6977,f6980,f6983,f6986,f7000,f7024,f7050,f7068,f7098,f7110,f7113,f7120,f7142,f7148,f7152,f7156,f7161,f7173,f7191,f7283,f7298,f7303,f7320,f7348,f7358,f7363,f7408,f7424,f7458,f7477,f7480,f7484,f7497,f7514,f7526,f7611,f7636,f7659,f7664,f7686,f7693,f7702,f7713,f7715,f7745,f7746,f7757,f7766,f7768,f7771,f7776,f7781,f7788,f7789,f7798,f7801,f7804,f7807,f7810,f7812,f7819,f7823,f7826,f7835,f7837,f7842,f7953,f7957,f7959,f7973,f7975,f7985,f7987,f7993,f7998,f7999,f8001,f8003,f8045,f8048,f8056,f8058,f8066,f8068,f8070,f8073,f8076,f8119,f8159,f8256,f8282,f8329,f8372,f8398,f8400,f8421,f8424,f8427,f8431,f8434,f8437,f8448,f8457,f8460,f8521,f8550,f8551,f8556,f8561,f8565,f8566,f8570,f8660,f8755,f8764,f8766,f8770,f8778,f8784,f8792,f8812,f8813,f8865,f8872,f8874,f8968,f8986,f9016,f9017,f9020,f9058,f9099,f9154,f9155,f9176,f9324,f9325,f9365,f9372,f9546,f9798,f9817,f9838,f9845,f9852,f9925,f10061,f10062,f10063,f10064,f10071,f10075,f10076,f10098,f10129,f10147,f10151,f10155,f10156,f10159,f10165,f10166,f10169,f10179,f10452,f10534,f10542,f10543,f10582,f10702,f10722,f10725,f10753,f10763,f10833,f10892,f10915,f10927,f10935,f11010,f11013,f11140,f11390,f11459,f11460,f11461,f11462,f11463,f11464,f11466,f11904,f12288,f12383,f12599,f12612,f12622,f12623,f12680,f12790,f12825,f12878,f12918,f13000,f13017,f13026,f13033,f13039,f13056,f13076,f13114,f13133,f13134,f13162,f13170,f13219,f13238,f13248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG051+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n010.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 21 12:54:57 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.45 % Drodi V4.1.1
% 19.48/3.04 % Refutation found
% 19.48/3.04 % SZS status Theorem for theBenchmark: Theorem is valid
% 19.48/3.04 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.20/3.12 % Elapsed time: 2.739916 seconds
% 19.20/3.12 % CPU time: 20.616619 seconds
% 19.20/3.12 % Total memory used: 282.190 MB
% 19.20/3.12 % Net memory used: 280.357 MB
%------------------------------------------------------------------------------