%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG118+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 11:49:38 AM UTC 2026
% Result : Theorem 1.68s 0.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG118+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 12:56:32 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 1.68/0.74 % Refutation found
% 1.68/0.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.68/0.74 % SZS output start CNFRefutation for theBenchmark
% 1.68/0.74 fof(f1,axiom,(
% 1.68/0.74 ( ( op1(e10,e10) = e10| op1(e10,e10) = e11| op1(e10,e10) = e12| op1(e10,e10) = e13 )& ( op1(e10,e11) = e10| op1(e10,e11) = e11| op1(e10,e11) = e12| op1(e10,e11) = e13 )& ( op1(e10,e12) = e10| op1(e10,e12) = e11| op1(e10,e12) = e12| op1(e10,e12) = e13 )& ( op1(e10,e13) = e10| op1(e10,e13) = e11| op1(e10,e13) = e12| op1(e10,e13) = e13 )& ( op1(e11,e10) = e10| op1(e11,e10) = e11| op1(e11,e10) = e12| op1(e11,e10) = e13 )& ( op1(e11,e11) = e10| op1(e11,e11) = e11| op1(e11,e11) = e12| op1(e11,e11) = e13 )& ( op1(e11,e12) = e10| op1(e11,e12) = e11| op1(e11,e12) = e12| op1(e11,e12) = e13 )& ( op1(e11,e13) = e10| op1(e11,e13) = e11| op1(e11,e13) = e12| op1(e11,e13) = e13 )& ( op1(e12,e10) = e10| op1(e12,e10) = e11| op1(e12,e10) = e12| op1(e12,e10) = e13 )& ( op1(e12,e11) = e10| op1(e12,e11) = e11| op1(e12,e11) = e12| op1(e12,e11) = e13 )& ( op1(e12,e12) = e10| op1(e12,e12) = e11| op1(e12,e12) = e12| op1(e12,e12) = e13 )& ( op1(e12,e13) = e10| op1(e12,e13) = e11| op1(e12,e13) = e12| op1(e12,e13) = e13 )& ( op1(e13,e10) = e10| op1(e13,e10) = e11| op1(e13,e10) = e12| op1(e13,e10) = e13 )& ( op1(e13,e11) = e10| op1(e13,e11) = e11| op1(e13,e11) = e12| op1(e13,e11) = e13 )& ( op1(e13,e12) = e10| op1(e13,e12) = e11| op1(e13,e12) = e12| op1(e13,e12) = e13 )& ( op1(e13,e13) = e10| op1(e13,e13) = e11| op1(e13,e13) = e12| op1(e13,e13) = e13 ) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f2,axiom,(
% 1.68/0.74 ( ( op1(e10,e10) = e10| op1(e10,e11) = e10| op1(e10,e12) = e10| op1(e10,e13) = e10 )& ( op1(e10,e10) = e10| op1(e11,e10) = e10| op1(e12,e10) = e10| op1(e13,e10) = e10 )& ( op1(e10,e10) = e11| op1(e10,e11) = e11| op1(e10,e12) = e11| op1(e10,e13) = e11 )& ( op1(e10,e10) = e11| op1(e11,e10) = e11| op1(e12,e10) = e11| op1(e13,e10) = e11 )& ( op1(e10,e10) = e12| op1(e10,e11) = e12| op1(e10,e12) = e12| op1(e10,e13) = e12 )& ( op1(e10,e10) = e12| op1(e11,e10) = e12| op1(e12,e10) = e12| op1(e13,e10) = e12 )& ( op1(e10,e10) = e13| op1(e10,e11) = e13| op1(e10,e12) = e13| op1(e10,e13) = e13 )& ( op1(e10,e10) = e13| op1(e11,e10) = e13| op1(e12,e10) = e13| op1(e13,e10) = e13 )& ( op1(e11,e10) = e10| op1(e11,e11) = e10| op1(e11,e12) = e10| op1(e11,e13) = e10 )& ( op1(e10,e11) = e10| op1(e11,e11) = e10| op1(e12,e11) = e10| op1(e13,e11) = e10 )& ( op1(e11,e10) = e11| op1(e11,e11) = e11| op1(e11,e12) = e11| op1(e11,e13) = e11 )& ( op1(e10,e11) = e11| op1(e11,e11) = e11| op1(e12,e11) = e11| op1(e13,e11) = e11 )& ( op1(e11,e10) = e12| op1(e11,e11) = e12| op1(e11,e12) = e12| op1(e11,e13) = e12 )& ( op1(e10,e11) = e12| op1(e11,e11) = e12| op1(e12,e11) = e12| op1(e13,e11) = e12 )& ( op1(e11,e10) = e13| op1(e11,e11) = e13| op1(e11,e12) = e13| op1(e11,e13) = e13 )& ( op1(e10,e11) = e13| op1(e11,e11) = e13| op1(e12,e11) = e13| op1(e13,e11) = e13 )& ( op1(e12,e10) = e10| op1(e12,e11) = e10| op1(e12,e12) = e10| op1(e12,e13) = e10 )& ( op1(e10,e12) = e10| op1(e11,e12) = e10| op1(e12,e12) = e10| op1(e13,e12) = e10 )& ( op1(e12,e10) = e11| op1(e12,e11) = e11| op1(e12,e12) = e11| op1(e12,e13) = e11 )& ( op1(e10,e12) = e11| op1(e11,e12) = e11| op1(e12,e12) = e11| op1(e13,e12) = e11 )& ( op1(e12,e10) = e12| op1(e12,e11) = e12| op1(e12,e12) = e12| op1(e12,e13) = e12 )& ( op1(e10,e12) = e12| op1(e11,e12) = e12| op1(e12,e12) = e12| op1(e13,e12) = e12 )& ( op1(e12,e10) = e13| op1(e12,e11) = e13| op1(e12,e12) = e13| op1(e12,e13) = e13 )& ( op1(e10,e12) = e13| op1(e11,e12) = e13| op1(e12,e12) = e13| op1(e13,e12) = e13 )& ( op1(e13,e10) = e10| op1(e13,e11) = e10| op1(e13,e12) = e10| op1(e13,e13) = e10 )& ( op1(e10,e13) = e10| op1(e11,e13) = e10| op1(e12,e13) = e10| op1(e13,e13) = e10 )& ( op1(e13,e10) = e11| op1(e13,e11) = e11| op1(e13,e12) = e11| op1(e13,e13) = e11 )& ( op1(e10,e13) = e11| op1(e11,e13) = e11| op1(e12,e13) = e11| op1(e13,e13) = e11 )& ( op1(e13,e10) = e12| op1(e13,e11) = e12| op1(e13,e12) = e12| op1(e13,e13) = e12 )& ( op1(e10,e13) = e12| op1(e11,e13) = e12| op1(e12,e13) = e12| op1(e13,e13) = e12 )& ( op1(e13,e10) = e13| op1(e13,e11) = e13| op1(e13,e12) = e13| op1(e13,e13) = e13 )& ( op1(e10,e13) = e13| op1(e11,e13) = e13| op1(e12,e13) = e13| op1(e13,e13) = e13 ) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f3,axiom,(
% 1.68/0.74 ( ( op2(e20,e20) = e20| op2(e20,e20) = e21| op2(e20,e20) = e22| op2(e20,e20) = e23 )& ( op2(e20,e21) = e20| op2(e20,e21) = e21| op2(e20,e21) = e22| op2(e20,e21) = e23 )& ( op2(e20,e22) = e20| op2(e20,e22) = e21| op2(e20,e22) = e22| op2(e20,e22) = e23 )& ( op2(e20,e23) = e20| op2(e20,e23) = e21| op2(e20,e23) = e22| op2(e20,e23) = e23 )& ( op2(e21,e20) = e20| op2(e21,e20) = e21| op2(e21,e20) = e22| op2(e21,e20) = e23 )& ( op2(e21,e21) = e20| op2(e21,e21) = e21| op2(e21,e21) = e22| op2(e21,e21) = e23 )& ( op2(e21,e22) = e20| op2(e21,e22) = e21| op2(e21,e22) = e22| op2(e21,e22) = e23 )& ( op2(e21,e23) = e20| op2(e21,e23) = e21| op2(e21,e23) = e22| op2(e21,e23) = e23 )& ( op2(e22,e20) = e20| op2(e22,e20) = e21| op2(e22,e20) = e22| op2(e22,e20) = e23 )& ( op2(e22,e21) = e20| op2(e22,e21) = e21| op2(e22,e21) = e22| op2(e22,e21) = e23 )& ( op2(e22,e22) = e20| op2(e22,e22) = e21| op2(e22,e22) = e22| op2(e22,e22) = e23 )& ( op2(e22,e23) = e20| op2(e22,e23) = e21| op2(e22,e23) = e22| op2(e22,e23) = e23 )& ( op2(e23,e20) = e20| op2(e23,e20) = e21| op2(e23,e20) = e22| op2(e23,e20) = e23 )& ( op2(e23,e21) = e20| op2(e23,e21) = e21| op2(e23,e21) = e22| op2(e23,e21) = e23 )& ( op2(e23,e22) = e20| op2(e23,e22) = e21| op2(e23,e22) = e22| op2(e23,e22) = e23 )& ( op2(e23,e23) = e20| op2(e23,e23) = e21| op2(e23,e23) = e22| op2(e23,e23) = e23 ) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f4,axiom,(
% 1.68/0.74 ( ( op2(e20,e20) = e20| op2(e20,e21) = e20| op2(e20,e22) = e20| op2(e20,e23) = e20 )& ( op2(e20,e20) = e20| op2(e21,e20) = e20| op2(e22,e20) = e20| op2(e23,e20) = e20 )& ( op2(e20,e20) = e21| op2(e20,e21) = e21| op2(e20,e22) = e21| op2(e20,e23) = e21 )& ( op2(e20,e20) = e21| op2(e21,e20) = e21| op2(e22,e20) = e21| op2(e23,e20) = e21 )& ( op2(e20,e20) = e22| op2(e20,e21) = e22| op2(e20,e22) = e22| op2(e20,e23) = e22 )& ( op2(e20,e20) = e22| op2(e21,e20) = e22| op2(e22,e20) = e22| op2(e23,e20) = e22 )& ( op2(e20,e20) = e23| op2(e20,e21) = e23| op2(e20,e22) = e23| op2(e20,e23) = e23 )& ( op2(e20,e20) = e23| op2(e21,e20) = e23| op2(e22,e20) = e23| op2(e23,e20) = e23 )& ( op2(e21,e20) = e20| op2(e21,e21) = e20| op2(e21,e22) = e20| op2(e21,e23) = e20 )& ( op2(e20,e21) = e20| op2(e21,e21) = e20| op2(e22,e21) = e20| op2(e23,e21) = e20 )& ( op2(e21,e20) = e21| op2(e21,e21) = e21| op2(e21,e22) = e21| op2(e21,e23) = e21 )& ( op2(e20,e21) = e21| op2(e21,e21) = e21| op2(e22,e21) = e21| op2(e23,e21) = e21 )& ( op2(e21,e20) = e22| op2(e21,e21) = e22| op2(e21,e22) = e22| op2(e21,e23) = e22 )& ( op2(e20,e21) = e22| op2(e21,e21) = e22| op2(e22,e21) = e22| op2(e23,e21) = e22 )& ( op2(e21,e20) = e23| op2(e21,e21) = e23| op2(e21,e22) = e23| op2(e21,e23) = e23 )& ( op2(e20,e21) = e23| op2(e21,e21) = e23| op2(e22,e21) = e23| op2(e23,e21) = e23 )& ( op2(e22,e20) = e20| op2(e22,e21) = e20| op2(e22,e22) = e20| op2(e22,e23) = e20 )& ( op2(e20,e22) = e20| op2(e21,e22) = e20| op2(e22,e22) = e20| op2(e23,e22) = e20 )& ( op2(e22,e20) = e21| op2(e22,e21) = e21| op2(e22,e22) = e21| op2(e22,e23) = e21 )& ( op2(e20,e22) = e21| op2(e21,e22) = e21| op2(e22,e22) = e21| op2(e23,e22) = e21 )& ( op2(e22,e20) = e22| op2(e22,e21) = e22| op2(e22,e22) = e22| op2(e22,e23) = e22 )& ( op2(e20,e22) = e22| op2(e21,e22) = e22| op2(e22,e22) = e22| op2(e23,e22) = e22 )& ( op2(e22,e20) = e23| op2(e22,e21) = e23| op2(e22,e22) = e23| op2(e22,e23) = e23 )& ( op2(e20,e22) = e23| op2(e21,e22) = e23| op2(e22,e22) = e23| op2(e23,e22) = e23 )& ( op2(e23,e20) = e20| op2(e23,e21) = e20| op2(e23,e22) = e20| op2(e23,e23) = e20 )& ( op2(e20,e23) = e20| op2(e21,e23) = e20| op2(e22,e23) = e20| op2(e23,e23) = e20 )& ( op2(e23,e20) = e21| op2(e23,e21) = e21| op2(e23,e22) = e21| op2(e23,e23) = e21 )& ( op2(e20,e23) = e21| op2(e21,e23) = e21| op2(e22,e23) = e21| op2(e23,e23) = e21 )& ( op2(e23,e20) = e22| op2(e23,e21) = e22| op2(e23,e22) = e22| op2(e23,e23) = e22 )& ( op2(e20,e23) = e22| op2(e21,e23) = e22| op2(e22,e23) = e22| op2(e23,e23) = e22 )& ( op2(e23,e20) = e23| op2(e23,e21) = e23| op2(e23,e22) = e23| op2(e23,e23) = e23 )& ( op2(e20,e23) = e23| op2(e21,e23) = e23| op2(e22,e23) = e23| op2(e23,e23) = e23 ) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f5,axiom,(
% 1.68/0.74 ( op1(e10,e10) != op1(e11,e10)& op1(e10,e10) != op1(e12,e10)& op1(e10,e10) != op1(e13,e10)& op1(e11,e10) != op1(e12,e10)& op1(e11,e10) != op1(e13,e10)& op1(e12,e10) != op1(e13,e10)& op1(e10,e11) != op1(e11,e11)& op1(e10,e11) != op1(e12,e11)& op1(e10,e11) != op1(e13,e11)& op1(e11,e11) != op1(e12,e11)& op1(e11,e11) != op1(e13,e11)& op1(e12,e11) != op1(e13,e11)& op1(e10,e12) != op1(e11,e12)& op1(e10,e12) != op1(e12,e12)& op1(e10,e12) != op1(e13,e12)& op1(e11,e12) != op1(e12,e12)& op1(e11,e12) != op1(e13,e12)& op1(e12,e12) != op1(e13,e12)& op1(e10,e13) != op1(e11,e13)& op1(e10,e13) != op1(e12,e13)& op1(e10,e13) != op1(e13,e13)& op1(e11,e13) != op1(e12,e13)& op1(e11,e13) != op1(e13,e13)& op1(e12,e13) != op1(e13,e13)& op1(e10,e10) != op1(e10,e11)& op1(e10,e10) != op1(e10,e12)& op1(e10,e10) != op1(e10,e13)& op1(e10,e11) != op1(e10,e12)& op1(e10,e11) != op1(e10,e13)& op1(e10,e12) != op1(e10,e13)& op1(e11,e10) != op1(e11,e11)& op1(e11,e10) != op1(e11,e12)& op1(e11,e10) != op1(e11,e13)& op1(e11,e11) != op1(e11,e12)& op1(e11,e11) != op1(e11,e13)& op1(e11,e12) != op1(e11,e13)& op1(e12,e10) != op1(e12,e11)& op1(e12,e10) != op1(e12,e12)& op1(e12,e10) != op1(e12,e13)& op1(e12,e11) != op1(e12,e12)& op1(e12,e11) != op1(e12,e13)& op1(e12,e12) != op1(e12,e13)& op1(e13,e10) != op1(e13,e11)& op1(e13,e10) != op1(e13,e12)& op1(e13,e10) != op1(e13,e13)& op1(e13,e11) != op1(e13,e12)& op1(e13,e11) != op1(e13,e13)& op1(e13,e12) != op1(e13,e13) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f6,axiom,(
% 1.68/0.74 ( op2(e20,e20) != op2(e21,e20)& op2(e20,e20) != op2(e22,e20)& op2(e20,e20) != op2(e23,e20)& op2(e21,e20) != op2(e22,e20)& op2(e21,e20) != op2(e23,e20)& op2(e22,e20) != op2(e23,e20)& op2(e20,e21) != op2(e21,e21)& op2(e20,e21) != op2(e22,e21)& op2(e20,e21) != op2(e23,e21)& op2(e21,e21) != op2(e22,e21)& op2(e21,e21) != op2(e23,e21)& op2(e22,e21) != op2(e23,e21)& op2(e20,e22) != op2(e21,e22)& op2(e20,e22) != op2(e22,e22)& op2(e20,e22) != op2(e23,e22)& op2(e21,e22) != op2(e22,e22)& op2(e21,e22) != op2(e23,e22)& op2(e22,e22) != op2(e23,e22)& op2(e20,e23) != op2(e21,e23)& op2(e20,e23) != op2(e22,e23)& op2(e20,e23) != op2(e23,e23)& op2(e21,e23) != op2(e22,e23)& op2(e21,e23) != op2(e23,e23)& op2(e22,e23) != op2(e23,e23)& op2(e20,e20) != op2(e20,e21)& op2(e20,e20) != op2(e20,e22)& op2(e20,e20) != op2(e20,e23)& op2(e20,e21) != op2(e20,e22)& op2(e20,e21) != op2(e20,e23)& op2(e20,e22) != op2(e20,e23)& op2(e21,e20) != op2(e21,e21)& op2(e21,e20) != op2(e21,e22)& op2(e21,e20) != op2(e21,e23)& op2(e21,e21) != op2(e21,e22)& op2(e21,e21) != op2(e21,e23)& op2(e21,e22) != op2(e21,e23)& op2(e22,e20) != op2(e22,e21)& op2(e22,e20) != op2(e22,e22)& op2(e22,e20) != op2(e22,e23)& op2(e22,e21) != op2(e22,e22)& op2(e22,e21) != op2(e22,e23)& op2(e22,e22) != op2(e22,e23)& op2(e23,e20) != op2(e23,e21)& op2(e23,e20) != op2(e23,e22)& op2(e23,e20) != op2(e23,e23)& op2(e23,e21) != op2(e23,e22)& op2(e23,e21) != op2(e23,e23)& op2(e23,e22) != op2(e23,e23) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f7,axiom,(
% 1.68/0.74 ( e10 != e11& e10 != e12& e10 != e13& e11 != e12& e11 != e13& e12 != e13 ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f8,axiom,(
% 1.68/0.74 ( e20 != e21& e20 != e22& e20 != e23& e21 != e22& e21 != e23& e22 != e23 ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f10,axiom,(
% 1.68/0.74 ( ( op1(e10,e10) = e10| op1(e11,e10) = e11| op1(e12,e10) = e12| op1(e13,e10) = e13 )& ( op1(e10,e11) = e10| op1(e11,e11) = e11| op1(e12,e11) = e12| op1(e13,e11) = e13 )& ( op1(e10,e12) = e10| op1(e11,e12) = e11| op1(e12,e12) = e12| op1(e13,e12) = e13 )& ( op1(e10,e13) = e10| op1(e11,e13) = e11| op1(e12,e13) = e12| op1(e13,e13) = e13 )& ( ( op1(e10,op1(e10,e10)) != e10& op1(e10,op1(e10,e11)) != e11& op1(e10,op1(e10,e12)) != e12& op1(e10,op1(e10,e13)) != e13 )| ( op1(e11,op1(e11,e10)) != e10& op1(e11,op1(e11,e11)) != e11& op1(e11,op1(e11,e12)) != e12& op1(e11,op1(e11,e13)) != e13 )| ( op1(e12,op1(e12,e10)) != e10& op1(e12,op1(e12,e11)) != e11& op1(e12,op1(e12,e12)) != e12& op1(e12,op1(e12,e13)) != e13 )| ( op1(e13,op1(e13,e10)) != e10& op1(e13,op1(e13,e11)) != e11& op1(e13,op1(e13,e12)) != e12& op1(e13,op1(e13,e13)) != e13 ) )& ( ( op1(e10,e10) = e10& op1(e10,e10) = e10& op1(e10,e10) = e10& op1(e10,e10) = e10 )| ( op1(e10,e10) = e10& op1(e10,e10) = e10& op1(e11,e10) = e10& op1(e10,e11) = e10 )| ( op1(e10,e10) = e10& op1(e10,e10) = e10& op1(e12,e10) = e10& op1(e10,e12) = e10 )| ( op1(e10,e10) = e10& op1(e10,e10) = e10& op1(e13,e10) = e10& op1(e10,e13) = e10 )| ( op1(e10,e11) = e10& op1(e11,e10) = e10& op1(e10,e11) = e11& op1(e11,e10) = e11 )| ( op1(e10,e11) = e10& op1(e11,e10) = e10& op1(e11,e11) = e11& op1(e11,e11) = e11 )| ( op1(e10,e11) = e10& op1(e11,e10) = e10& op1(e12,e11) = e11& op1(e11,e12) = e11 )| ( op1(e10,e11) = e10& op1(e11,e10) = e10& op1(e13,e11) = e11& op1(e11,e13) = e11 )| ( op1(e10,e12) = e10& op1(e12,e10) = e10& op1(e10,e12) = e12& op1(e12,e10) = e12 )| ( op1(e10,e12) = e10& op1(e12,e10) = e10& op1(e11,e12) = e12& op1(e12,e11) = e12 )| ( op1(e10,e12) = e10& op1(e12,e10) = e10& op1(e12,e12) = e12& op1(e12,e12) = e12 )| ( op1(e10,e12) = e10& op1(e12,e10) = e10& op1(e13,e12) = e12& op1(e12,e13) = e12 )| ( op1(e10,e13) = e10& op1(e13,e10) = e10& op1(e10,e13) = e13& op1(e13,e10) = e13 )| ( op1(e10,e13) = e10& op1(e13,e10) = e10& op1(e11,e13) = e13& op1(e13,e11) = e13 )| ( op1(e10,e13) = e10& op1(e13,e10) = e10& op1(e12,e13) = e13& op1(e13,e12) = e13 )| ( op1(e10,e13) = e10& op1(e13,e10) = e10& op1(e13,e13) = e13& op1(e13,e13) = e13 )| ( op1(e11,e10) = e11& op1(e10,e11) = e11& op1(e10,e10) = e10& op1(e10,e10) = e10 )| ( op1(e11,e10) = e11& op1(e10,e11) = e11& op1(e11,e10) = e10& op1(e10,e11) = e10 )| ( op1(e11,e10) = e11& op1(e10,e11) = e11& op1(e12,e10) = e10& op1(e10,e12) = e10 )| ( op1(e11,e10) = e11& op1(e10,e11) = e11& op1(e13,e10) = e10& op1(e10,e13) = e10 )| ( op1(e11,e11) = e11& op1(e11,e11) = e11& op1(e10,e11) = e11& op1(e11,e10) = e11 )| ( op1(e11,e11) = e11& op1(e11,e11) = e11& op1(e11,e11) = e11& op1(e11,e11) = e11 )| ( op1(e11,e11) = e11& op1(e11,e11) = e11& op1(e12,e11) = e11& op1(e11,e12) = e11 )| ( op1(e11,e11) = e11& op1(e11,e11) = e11& op1(e13,e11) = e11& op1(e11,e13) = e11 )| ( op1(e11,e12) = e11& op1(e12,e11) = e11& op1(e10,e12) = e12& op1(e12,e10) = e12 )| ( op1(e11,e12) = e11& op1(e12,e11) = e11& op1(e11,e12) = e12& op1(e12,e11) = e12 )| ( op1(e11,e12) = e11& op1(e12,e11) = e11& op1(e12,e12) = e12& op1(e12,e12) = e12 )| ( op1(e11,e12) = e11& op1(e12,e11) = e11& op1(e13,e12) = e12& op1(e12,e13) = e12 )| ( op1(e11,e13) = e11& op1(e13,e11) = e11& op1(e10,e13) = e13& op1(e13,e10) = e13 )| ( op1(e11,e13) = e11& op1(e13,e11) = e11& op1(e11,e13) = e13& op1(e13,e11) = e13 )| ( op1(e11,e13) = e11& op1(e13,e11) = e11& op1(e12,e13) = e13& op1(e13,e12) = e13 )| ( op1(e11,e13) = e11& op1(e13,e11) = e11& op1(e13,e13) = e13& op1(e13,e13) = e13 )| ( op1(e12,e10) = e12& op1(e10,e12) = e12& op1(e10,e10) = e10& op1(e10,e10) = e10 )| ( op1(e12,e10) = e12& op1(e10,e12) = e12& op1(e11,e10) = e10& op1(e10,e11) = e10 )| ( op1(e12,e10) = e12& op1(e10,e12) = e12& op1(e12,e10) = e10& op1(e10,e12) = e10 )| ( op1(e12,e10) = e12& op1(e10,e12) = e12& op1(e13,e10) = e10& op1(e10,e13) = e10 )| ( op1(e12,e11) = e12& op1(e11,e12) = e12& op1(e10,e11) = e11& op1(e11,e10) = e11 )| ( op1(e12,e11) = e12& op1(e11,e12) = e12& op1(e11,e11) = e11& op1(e11,e11) = e11 )| ( op1(e12,e11) = e12& op1(e11,e12) = e12& op1(e12,e11) = e11& op1(e11,e12) = e11 )| ( op1(e12,e11) = e12& op1(e11,e12) = e12& op1(e13,e11) = e11& op1(e11,e13) = e11 )| ( op1(e12,e12) = e12& op1(e12,e12) = e12& op1(e10,e12) = e12& op1(e12,e10) = e12 )| ( op1(e12,e12) = e12& op1(e12,e12) = e12& op1(e11,e12) = e12& op1(e12,e11) = e12 )| ( op1(e12,e12) = e12& op1(e12,e12) = e12& op1(e12,e12) = e12& op1(e12,e12) = e12 )| ( op1(e12,e12) = e12& op1(e12,e12) = e12& op1(e13,e12) = e12& op1(e12,e13) = e12 )| ( op1(e12,e13) = e12& op1(e13,e12) = e12& op1(e10,e13) = e13& op1(e13,e10) = e13 )| ( op1(e12,e13) = e12& op1(e13,e12) = e12& op1(e11,e13) = e13& op1(e13,e11) = e13 )| ( op1(e12,e13) = e12& op1(e13,e12) = e12& op1(e12,e13) = e13& op1(e13,e12) = e13 )| ( op1(e12,e13) = e12& op1(e13,e12) = e12& op1(e13,e13) = e13& op1(e13,e13) = e13 )| ( op1(e13,e10) = e13& op1(e10,e13) = e13& op1(e10,e10) = e10& op1(e10,e10) = e10 )| ( op1(e13,e10) = e13& op1(e10,e13) = e13& op1(e11,e10) = e10& op1(e10,e11) = e10 )| ( op1(e13,e10) = e13& op1(e10,e13) = e13& op1(e12,e10) = e10& op1(e10,e12) = e10 )| ( op1(e13,e10) = e13& op1(e10,e13) = e13& op1(e13,e10) = e10& op1(e10,e13) = e10 )| ( op1(e13,e11) = e13& op1(e11,e13) = e13& op1(e10,e11) = e11& op1(e11,e10) = e11 )| ( op1(e13,e11) = e13& op1(e11,e13) = e13& op1(e11,e11) = e11& op1(e11,e11) = e11 )| ( op1(e13,e11) = e13& op1(e11,e13) = e13& op1(e12,e11) = e11& op1(e11,e12) = e11 )| ( op1(e13,e11) = e13& op1(e11,e13) = e13& op1(e13,e11) = e11& op1(e11,e13) = e11 )| ( op1(e13,e12) = e13& op1(e12,e13) = e13& op1(e10,e12) = e12& op1(e12,e10) = e12 )| ( op1(e13,e12) = e13& op1(e12,e13) = e13& op1(e11,e12) = e12& op1(e12,e11) = e12 )| ( op1(e13,e12) = e13& op1(e12,e13) = e13& op1(e12,e12) = e12& op1(e12,e12) = e12 )| ( op1(e13,e12) = e13& op1(e12,e13) = e13& op1(e13,e12) = e12& op1(e12,e13) = e12 )| ( op1(e13,e13) = e13& op1(e13,e13) = e13& op1(e10,e13) = e13& op1(e13,e10) = e13 )| ( op1(e13,e13) = e13& op1(e13,e13) = e13& op1(e11,e13) = e13& op1(e13,e11) = e13 )| ( op1(e13,e13) = e13& op1(e13,e13) = e13& op1(e12,e13) = e13& op1(e13,e12) = e13 )| ( op1(e13,e13) = e13& op1(e13,e13) = e13& op1(e13,e13) = e13& op1(e13,e13) = e13 ) ) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f11,axiom,(
% 1.68/0.74 ( ( op2(e20,e20) = e20| op2(e21,e20) = e21| op2(e22,e20) = e22| op2(e23,e20) = e23 )& ( op2(e20,e21) = e20| op2(e21,e21) = e21| op2(e22,e21) = e22| op2(e23,e21) = e23 )& ( op2(e20,e22) = e20| op2(e21,e22) = e21| op2(e22,e22) = e22| op2(e23,e22) = e23 )& ( op2(e20,e23) = e20| op2(e21,e23) = e21| op2(e22,e23) = e22| op2(e23,e23) = e23 )& ( ( op2(e20,op2(e20,e20)) != e20& op2(e20,op2(e20,e21)) != e21& op2(e20,op2(e20,e22)) != e22& op2(e20,op2(e20,e23)) != e23 )| ( op2(e21,op2(e21,e20)) != e20& op2(e21,op2(e21,e21)) != e21& op2(e21,op2(e21,e22)) != e22& op2(e21,op2(e21,e23)) != e23 )| ( op2(e22,op2(e22,e20)) != e20& op2(e22,op2(e22,e21)) != e21& op2(e22,op2(e22,e22)) != e22& op2(e22,op2(e22,e23)) != e23 )| ( op2(e23,op2(e23,e20)) != e20& op2(e23,op2(e23,e21)) != e21& op2(e23,op2(e23,e22)) != e22& op2(e23,op2(e23,e23)) != e23 ) )& ( ( op2(e20,e20) = e20& op2(e20,e20) = e20& op2(e20,e20) = e20& op2(e20,e20) = e20 )| ( op2(e20,e20) = e20& op2(e20,e20) = e20& op2(e21,e20) = e20& op2(e20,e21) = e20 )| ( op2(e20,e20) = e20& op2(e20,e20) = e20& op2(e22,e20) = e20& op2(e20,e22) = e20 )| ( op2(e20,e20) = e20& op2(e20,e20) = e20& op2(e23,e20) = e20& op2(e20,e23) = e20 )| ( op2(e20,e21) = e20& op2(e21,e20) = e20& op2(e20,e21) = e21& op2(e21,e20) = e21 )| ( op2(e20,e21) = e20& op2(e21,e20) = e20& op2(e21,e21) = e21& op2(e21,e21) = e21 )| ( op2(e20,e21) = e20& op2(e21,e20) = e20& op2(e22,e21) = e21& op2(e21,e22) = e21 )| ( op2(e20,e21) = e20& op2(e21,e20) = e20& op2(e23,e21) = e21& op2(e21,e23) = e21 )| ( op2(e20,e22) = e20& op2(e22,e20) = e20& op2(e20,e22) = e22& op2(e22,e20) = e22 )| ( op2(e20,e22) = e20& op2(e22,e20) = e20& op2(e21,e22) = e22& op2(e22,e21) = e22 )| ( op2(e20,e22) = e20& op2(e22,e20) = e20& op2(e22,e22) = e22& op2(e22,e22) = e22 )| ( op2(e20,e22) = e20& op2(e22,e20) = e20& op2(e23,e22) = e22& op2(e22,e23) = e22 )| ( op2(e20,e23) = e20& op2(e23,e20) = e20& op2(e20,e23) = e23& op2(e23,e20) = e23 )| ( op2(e20,e23) = e20& op2(e23,e20) = e20& op2(e21,e23) = e23& op2(e23,e21) = e23 )| ( op2(e20,e23) = e20& op2(e23,e20) = e20& op2(e22,e23) = e23& op2(e23,e22) = e23 )| ( op2(e20,e23) = e20& op2(e23,e20) = e20& op2(e23,e23) = e23& op2(e23,e23) = e23 )| ( op2(e21,e20) = e21& op2(e20,e21) = e21& op2(e20,e20) = e20& op2(e20,e20) = e20 )| ( op2(e21,e20) = e21& op2(e20,e21) = e21& op2(e21,e20) = e20& op2(e20,e21) = e20 )| ( op2(e21,e20) = e21& op2(e20,e21) = e21& op2(e22,e20) = e20& op2(e20,e22) = e20 )| ( op2(e21,e20) = e21& op2(e20,e21) = e21& op2(e23,e20) = e20& op2(e20,e23) = e20 )| ( op2(e21,e21) = e21& op2(e21,e21) = e21& op2(e20,e21) = e21& op2(e21,e20) = e21 )| ( op2(e21,e21) = e21& op2(e21,e21) = e21& op2(e21,e21) = e21& op2(e21,e21) = e21 )| ( op2(e21,e21) = e21& op2(e21,e21) = e21& op2(e22,e21) = e21& op2(e21,e22) = e21 )| ( op2(e21,e21) = e21& op2(e21,e21) = e21& op2(e23,e21) = e21& op2(e21,e23) = e21 )| ( op2(e21,e22) = e21& op2(e22,e21) = e21& op2(e20,e22) = e22& op2(e22,e20) = e22 )| ( op2(e21,e22) = e21& op2(e22,e21) = e21& op2(e21,e22) = e22& op2(e22,e21) = e22 )| ( op2(e21,e22) = e21& op2(e22,e21) = e21& op2(e22,e22) = e22& op2(e22,e22) = e22 )| ( op2(e21,e22) = e21& op2(e22,e21) = e21& op2(e23,e22) = e22& op2(e22,e23) = e22 )| ( op2(e21,e23) = e21& op2(e23,e21) = e21& op2(e20,e23) = e23& op2(e23,e20) = e23 )| ( op2(e21,e23) = e21& op2(e23,e21) = e21& op2(e21,e23) = e23& op2(e23,e21) = e23 )| ( op2(e21,e23) = e21& op2(e23,e21) = e21& op2(e22,e23) = e23& op2(e23,e22) = e23 )| ( op2(e21,e23) = e21& op2(e23,e21) = e21& op2(e23,e23) = e23& op2(e23,e23) = e23 )| ( op2(e22,e20) = e22& op2(e20,e22) = e22& op2(e20,e20) = e20& op2(e20,e20) = e20 )| ( op2(e22,e20) = e22& op2(e20,e22) = e22& op2(e21,e20) = e20& op2(e20,e21) = e20 )| ( op2(e22,e20) = e22& op2(e20,e22) = e22& op2(e22,e20) = e20& op2(e20,e22) = e20 )| ( op2(e22,e20) = e22& op2(e20,e22) = e22& op2(e23,e20) = e20& op2(e20,e23) = e20 )| ( op2(e22,e21) = e22& op2(e21,e22) = e22& op2(e20,e21) = e21& op2(e21,e20) = e21 )| ( op2(e22,e21) = e22& op2(e21,e22) = e22& op2(e21,e21) = e21& op2(e21,e21) = e21 )| ( op2(e22,e21) = e22& op2(e21,e22) = e22& op2(e22,e21) = e21& op2(e21,e22) = e21 )| ( op2(e22,e21) = e22& op2(e21,e22) = e22& op2(e23,e21) = e21& op2(e21,e23) = e21 )| ( op2(e22,e22) = e22& op2(e22,e22) = e22& op2(e20,e22) = e22& op2(e22,e20) = e22 )| ( op2(e22,e22) = e22& op2(e22,e22) = e22& op2(e21,e22) = e22& op2(e22,e21) = e22 )| ( op2(e22,e22) = e22& op2(e22,e22) = e22& op2(e22,e22) = e22& op2(e22,e22) = e22 )| ( op2(e22,e22) = e22& op2(e22,e22) = e22& op2(e23,e22) = e22& op2(e22,e23) = e22 )| ( op2(e22,e23) = e22& op2(e23,e22) = e22& op2(e20,e23) = e23& op2(e23,e20) = e23 )| ( op2(e22,e23) = e22& op2(e23,e22) = e22& op2(e21,e23) = e23& op2(e23,e21) = e23 )| ( op2(e22,e23) = e22& op2(e23,e22) = e22& op2(e22,e23) = e23& op2(e23,e22) = e23 )| ( op2(e22,e23) = e22& op2(e23,e22) = e22& op2(e23,e23) = e23& op2(e23,e23) = e23 )| ( op2(e23,e20) = e23& op2(e20,e23) = e23& op2(e20,e20) = e20& op2(e20,e20) = e20 )| ( op2(e23,e20) = e23& op2(e20,e23) = e23& op2(e21,e20) = e20& op2(e20,e21) = e20 )| ( op2(e23,e20) = e23& op2(e20,e23) = e23& op2(e22,e20) = e20& op2(e20,e22) = e20 )| ( op2(e23,e20) = e23& op2(e20,e23) = e23& op2(e23,e20) = e20& op2(e20,e23) = e20 )| ( op2(e23,e21) = e23& op2(e21,e23) = e23& op2(e20,e21) = e21& op2(e21,e20) = e21 )| ( op2(e23,e21) = e23& op2(e21,e23) = e23& op2(e21,e21) = e21& op2(e21,e21) = e21 )| ( op2(e23,e21) = e23& op2(e21,e23) = e23& op2(e22,e21) = e21& op2(e21,e22) = e21 )| ( op2(e23,e21) = e23& op2(e21,e23) = e23& op2(e23,e21) = e21& op2(e21,e23) = e21 )| ( op2(e23,e22) = e23& op2(e22,e23) = e23& op2(e20,e22) = e22& op2(e22,e20) = e22 )| ( op2(e23,e22) = e23& op2(e22,e23) = e23& op2(e21,e22) = e22& op2(e22,e21) = e22 )| ( op2(e23,e22) = e23& op2(e22,e23) = e23& op2(e22,e22) = e22& op2(e22,e22) = e22 )| ( op2(e23,e22) = e23& op2(e22,e23) = e23& op2(e23,e22) = e22& op2(e22,e23) = e22 )| ( op2(e23,e23) = e23& op2(e23,e23) = e23& op2(e20,e23) = e23& op2(e23,e20) = e23 )| ( op2(e23,e23) = e23& op2(e23,e23) = e23& op2(e21,e23) = e23& op2(e23,e21) = e23 )| ( op2(e23,e23) = e23& op2(e23,e23) = e23& op2(e22,e23) = e23& op2(e23,e22) = e23 )| ( op2(e23,e23) = e23& op2(e23,e23) = e23& op2(e23,e23) = e23& op2(e23,e23) = e23 ) ) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f12,axiom,(
% 1.68/0.74 ( e10 = op1(e11,e11)& e12 = op1(op1(op1(e11,e11),e11),op1(e11,e11))& e13 = op1(op1(e11,e11),e11) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f13,axiom,(
% 1.68/0.74 ( e20 = op2(e21,e21)& e22 = op2(op2(op2(e21,e21),e21),op2(e21,e21))& e23 = op2(op2(e21,e21),e21) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f14,axiom,(
% 1.68/0.74 ( h1(e11) = e20& h1(e10) = op2(e20,e20)& h1(e12) = op2(op2(op2(e20,e20),e20),op2(e20,e20))& h1(e13) = op2(op2(e20,e20),e20) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f15,axiom,(
% 1.68/0.74 ( h2(e11) = e21& h2(e10) = op2(e21,e21)& h2(e12) = op2(op2(op2(e21,e21),e21),op2(e21,e21))& h2(e13) = op2(op2(e21,e21),e21) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f16,axiom,(
% 1.68/0.74 ( h3(e11) = e22& h3(e10) = op2(e22,e22)& h3(e12) = op2(op2(op2(e22,e22),e22),op2(e22,e22))& h3(e13) = op2(op2(e22,e22),e22) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f17,axiom,(
% 1.68/0.74 ( h4(e11) = e23& h4(e10) = op2(e23,e23)& h4(e12) = op2(op2(op2(e23,e23),e23),op2(e23,e23))& h4(e13) = op2(op2(e23,e23),e23) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f18,conjecture,(
% 1.68/0.74 ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))& ( h1(e10) = e20| h1(e11) = e20| h1(e12) = e20| h1(e13) = e20 )& ( h1(e10) = e21| h1(e11) = e21| h1(e12) = e21| h1(e13) = e21 )& ( h1(e10) = e22| h1(e11) = e22| h1(e12) = e22| h1(e13) = e22 )& ( h1(e10) = e23| h1(e11) = e23| h1(e12) = e23| h1(e13) = e23 ) )| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))& ( h2(e10) = e20| h2(e11) = e20| h2(e12) = e20| h2(e13) = e20 )& ( h2(e10) = e21| h2(e11) = e21| h2(e12) = e21| h2(e13) = e21 )& ( h2(e10) = e22| h2(e11) = e22| h2(e12) = e22| h2(e13) = e22 )& ( h2(e10) = e23| h2(e11) = e23| h2(e12) = e23| h2(e13) = e23 ) )| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))& ( h3(e10) = e20| h3(e11) = e20| h3(e12) = e20| h3(e13) = e20 )& ( h3(e10) = e21| h3(e11) = e21| h3(e12) = e21| h3(e13) = e21 )& ( h3(e10) = e22| h3(e11) = e22| h3(e12) = e22| h3(e13) = e22 )& ( h3(e10) = e23| h3(e11) = e23| h3(e12) = e23| h3(e13) = e23 ) )| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))& ( h4(e10) = e20| h4(e11) = e20| h4(e12) = e20| h4(e13) = e20 )& ( h4(e10) = e21| h4(e11) = e21| h4(e12) = e21| h4(e13) = e21 )& ( h4(e10) = e22| h4(e11) = e22| h4(e12) = e22| h4(e13) = e22 )& ( h4(e10) = e23| h4(e11) = e23| h4(e12) = e23| h4(e13) = e23 ) ) ) ),
% 1.68/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.68/0.74 fof(f19,negated_conjecture,(
% 1.68/0.74 ~(( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))& ( h1(e10) = e20| h1(e11) = e20| h1(e12) = e20| h1(e13) = e20 )& ( h1(e10) = e21| h1(e11) = e21| h1(e12) = e21| h1(e13) = e21 )& ( h1(e10) = e22| h1(e11) = e22| h1(e12) = e22| h1(e13) = e22 )& ( h1(e10) = e23| h1(e11) = e23| h1(e12) = e23| h1(e13) = e23 ) )| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))& ( h2(e10) = e20| h2(e11) = e20| h2(e12) = e20| h2(e13) = e20 )& ( h2(e10) = e21| h2(e11) = e21| h2(e12) = e21| h2(e13) = e21 )& ( h2(e10) = e22| h2(e11) = e22| h2(e12) = e22| h2(e13) = e22 )& ( h2(e10) = e23| h2(e11) = e23| h2(e12) = e23| h2(e13) = e23 ) )| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))& ( h3(e10) = e20| h3(e11) = e20| h3(e12) = e20| h3(e13) = e20 )& ( h3(e10) = e21| h3(e11) = e21| h3(e12) = e21| h3(e13) = e21 )& ( h3(e10) = e22| h3(e11) = e22| h3(e12) = e22| h3(e13) = e22 )& ( h3(e10) = e23| h3(e11) = e23| h3(e12) = e23| h3(e13) = e23 ) )| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))& ( h4(e10) = e20| h4(e11) = e20| h4(e12) = e20| h4(e13) = e20 )& ( h4(e10) = e21| h4(e11) = e21| h4(e12) = e21| h4(e13) = e21 )& ( h4(e10) = e22| h4(e11) = e22| h4(e12) = e22| h4(e13) = e22 )& ( h4(e10) = e23| h4(e11) = e23| h4(e12) = e23| h4(e13) = e23 ) ) ) )),
% 1.68/0.74 inference(negated_conjecture,[status(cth)],[f18])).
% 1.68/0.74 fof(f21,plain,(
% 1.68/0.74 op1(e10,e11)=e10|op1(e10,e11)=e11|op1(e10,e11)=e12|op1(e10,e11)=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f1])).
% 1.68/0.74 fof(f23,plain,(
% 1.68/0.74 op1(e10,e13)=e10|op1(e10,e13)=e11|op1(e10,e13)=e12|op1(e10,e13)=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f1])).
% 1.68/0.74 fof(f24,plain,(
% 1.68/0.74 op1(e11,e10)=e10|op1(e11,e10)=e11|op1(e11,e10)=e12|op1(e11,e10)=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f1])).
% 1.68/0.74 fof(f31,plain,(
% 1.68/0.74 op1(e12,e13)=e10|op1(e12,e13)=e11|op1(e12,e13)=e12|op1(e12,e13)=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f1])).
% 1.68/0.74 fof(f33,plain,(
% 1.68/0.74 op1(e13,e11)=e10|op1(e13,e11)=e11|op1(e13,e11)=e12|op1(e13,e11)=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f1])).
% 1.68/0.74 fof(f36,plain,(
% 1.68/0.74 op1(e10,e10)=e10|op1(e10,e11)=e10|op1(e10,e12)=e10|op1(e10,e13)=e10),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f39,plain,(
% 1.68/0.74 op1(e10,e10)=e11|op1(e11,e10)=e11|op1(e12,e10)=e11|op1(e13,e10)=e11),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f45,plain,(
% 1.68/0.74 op1(e10,e11)=e10|op1(e11,e11)=e10|op1(e12,e11)=e10|op1(e13,e11)=e10),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f49,plain,(
% 1.68/0.74 op1(e10,e11)=e12|op1(e11,e11)=e12|op1(e12,e11)=e12|op1(e13,e11)=e12),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f52,plain,(
% 1.68/0.74 op1(e12,e10)=e10|op1(e12,e11)=e10|op1(e12,e12)=e10|op1(e12,e13)=e10),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f54,plain,(
% 1.68/0.74 op1(e12,e10)=e11|op1(e12,e11)=e11|op1(e12,e12)=e11|op1(e12,e13)=e11),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f55,plain,(
% 1.68/0.74 op1(e10,e12)=e11|op1(e11,e12)=e11|op1(e12,e12)=e11|op1(e13,e12)=e11),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f57,plain,(
% 1.68/0.74 op1(e10,e12)=e12|op1(e11,e12)=e12|op1(e12,e12)=e12|op1(e13,e12)=e12),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f59,plain,(
% 1.68/0.74 op1(e10,e12)=e13|op1(e11,e12)=e13|op1(e12,e12)=e13|op1(e13,e12)=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f60,plain,(
% 1.68/0.74 op1(e13,e10)=e10|op1(e13,e11)=e10|op1(e13,e12)=e10|op1(e13,e13)=e10),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f61,plain,(
% 1.68/0.74 op1(e10,e13)=e10|op1(e11,e13)=e10|op1(e12,e13)=e10|op1(e13,e13)=e10),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f63,plain,(
% 1.68/0.74 op1(e10,e13)=e11|op1(e11,e13)=e11|op1(e12,e13)=e11|op1(e13,e13)=e11),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f64,plain,(
% 1.68/0.74 op1(e13,e10)=e12|op1(e13,e11)=e12|op1(e13,e12)=e12|op1(e13,e13)=e12),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f65,plain,(
% 1.68/0.74 op1(e10,e13)=e12|op1(e11,e13)=e12|op1(e12,e13)=e12|op1(e13,e13)=e12),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f66,plain,(
% 1.68/0.74 op1(e13,e10)=e13|op1(e13,e11)=e13|op1(e13,e12)=e13|op1(e13,e13)=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f2])).
% 1.68/0.74 fof(f68,plain,(
% 1.68/0.74 op2(e20,e20)=e20|op2(e20,e20)=e21|op2(e20,e20)=e22|op2(e20,e20)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f3])).
% 1.68/0.74 fof(f69,plain,(
% 1.68/0.74 op2(e20,e21)=e20|op2(e20,e21)=e21|op2(e20,e21)=e22|op2(e20,e21)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f3])).
% 1.68/0.74 fof(f71,plain,(
% 1.68/0.74 op2(e20,e23)=e20|op2(e20,e23)=e21|op2(e20,e23)=e22|op2(e20,e23)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f3])).
% 1.68/0.74 fof(f74,plain,(
% 1.68/0.74 op2(e21,e22)=e20|op2(e21,e22)=e21|op2(e21,e22)=e22|op2(e21,e22)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f3])).
% 1.68/0.74 fof(f82,plain,(
% 1.68/0.74 op2(e23,e22)=e20|op2(e23,e22)=e21|op2(e23,e22)=e22|op2(e23,e22)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f3])).
% 1.68/0.74 fof(f83,plain,(
% 1.68/0.74 op2(e23,e23)=e20|op2(e23,e23)=e21|op2(e23,e23)=e22|op2(e23,e23)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f3])).
% 1.68/0.74 fof(f85,plain,(
% 1.68/0.74 op2(e20,e20)=e20|op2(e21,e20)=e20|op2(e22,e20)=e20|op2(e23,e20)=e20),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f86,plain,(
% 1.68/0.74 op2(e20,e20)=e21|op2(e20,e21)=e21|op2(e20,e22)=e21|op2(e20,e23)=e21),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f87,plain,(
% 1.68/0.74 op2(e20,e20)=e21|op2(e21,e20)=e21|op2(e22,e20)=e21|op2(e23,e20)=e21),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f88,plain,(
% 1.68/0.74 op2(e20,e20)=e22|op2(e20,e21)=e22|op2(e20,e22)=e22|op2(e20,e23)=e22),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f89,plain,(
% 1.68/0.74 op2(e20,e20)=e22|op2(e21,e20)=e22|op2(e22,e20)=e22|op2(e23,e20)=e22),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f91,plain,(
% 1.68/0.74 op2(e20,e20)=e23|op2(e21,e20)=e23|op2(e22,e20)=e23|op2(e23,e20)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f93,plain,(
% 1.68/0.74 op2(e20,e21)=e20|op2(e21,e21)=e20|op2(e22,e21)=e20|op2(e23,e21)=e20),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f94,plain,(
% 1.68/0.74 op2(e21,e20)=e21|op2(e21,e21)=e21|op2(e21,e22)=e21|op2(e21,e23)=e21),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f95,plain,(
% 1.68/0.74 op2(e20,e21)=e21|op2(e21,e21)=e21|op2(e22,e21)=e21|op2(e23,e21)=e21),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f102,plain,(
% 1.68/0.74 op2(e22,e20)=e21|op2(e22,e21)=e21|op2(e22,e22)=e21|op2(e22,e23)=e21),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f105,plain,(
% 1.68/0.74 op2(e20,e22)=e22|op2(e21,e22)=e22|op2(e22,e22)=e22|op2(e23,e22)=e22),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f106,plain,(
% 1.68/0.74 op2(e22,e20)=e23|op2(e22,e21)=e23|op2(e22,e22)=e23|op2(e22,e23)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f108,plain,(
% 1.68/0.74 op2(e23,e20)=e20|op2(e23,e21)=e20|op2(e23,e22)=e20|op2(e23,e23)=e20),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f109,plain,(
% 1.68/0.74 op2(e20,e23)=e20|op2(e21,e23)=e20|op2(e22,e23)=e20|op2(e23,e23)=e20),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f113,plain,(
% 1.68/0.74 op2(e20,e23)=e22|op2(e21,e23)=e22|op2(e22,e23)=e22|op2(e23,e23)=e22),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f115,plain,(
% 1.68/0.74 op2(e20,e23)=e23|op2(e21,e23)=e23|op2(e22,e23)=e23|op2(e23,e23)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 1.68/0.74 fof(f116,plain,(
% 1.68/0.74 ~op1(e10,e10)=op1(e11,e10)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f117,plain,(
% 1.68/0.74 ~op1(e10,e10)=op1(e12,e10)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f120,plain,(
% 1.68/0.74 ~op1(e11,e10)=op1(e13,e10)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f123,plain,(
% 1.68/0.74 ~op1(e10,e11)=op1(e12,e11)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f124,plain,(
% 1.68/0.74 ~op1(e10,e11)=op1(e13,e11)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f125,plain,(
% 1.68/0.74 ~op1(e11,e11)=op1(e12,e11)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f126,plain,(
% 1.68/0.74 ~op1(e11,e11)=op1(e13,e11)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f130,plain,(
% 1.68/0.74 ~op1(e10,e12)=op1(e13,e12)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f133,plain,(
% 1.68/0.74 ~op1(e12,e12)=op1(e13,e12)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f136,plain,(
% 1.68/0.74 ~op1(e10,e13)=op1(e13,e13)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f139,plain,(
% 1.68/0.74 ~op1(e12,e13)=op1(e13,e13)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f141,plain,(
% 1.68/0.74 ~op1(e10,e10)=op1(e10,e12)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f143,plain,(
% 1.68/0.74 ~op1(e10,e11)=op1(e10,e12)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f144,plain,(
% 1.68/0.74 ~op1(e10,e11)=op1(e10,e13)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f145,plain,(
% 1.68/0.74 ~op1(e10,e12)=op1(e10,e13)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f147,plain,(
% 1.68/0.74 ~op1(e11,e10)=op1(e11,e12)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f148,plain,(
% 1.68/0.74 ~op1(e11,e10)=op1(e11,e13)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f149,plain,(
% 1.68/0.74 ~op1(e11,e11)=op1(e11,e12)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f150,plain,(
% 1.68/0.74 ~op1(e11,e11)=op1(e11,e13)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f151,plain,(
% 1.68/0.74 ~op1(e11,e12)=op1(e11,e13)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f152,plain,(
% 1.68/0.74 ~op1(e12,e10)=op1(e12,e11)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f154,plain,(
% 1.68/0.74 ~op1(e12,e10)=op1(e12,e13)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f155,plain,(
% 1.68/0.74 ~op1(e12,e11)=op1(e12,e12)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f156,plain,(
% 1.68/0.74 ~op1(e12,e11)=op1(e12,e13)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f158,plain,(
% 1.68/0.74 ~op1(e13,e10)=op1(e13,e11)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f159,plain,(
% 1.68/0.74 ~op1(e13,e10)=op1(e13,e12)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f160,plain,(
% 1.68/0.74 ~op1(e13,e10)=op1(e13,e13)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f161,plain,(
% 1.68/0.74 ~op1(e13,e11)=op1(e13,e12)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f162,plain,(
% 1.68/0.74 ~op1(e13,e11)=op1(e13,e13)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 1.68/0.74 fof(f164,plain,(
% 1.68/0.74 ~op2(e20,e20)=op2(e21,e20)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f166,plain,(
% 1.68/0.74 ~op2(e20,e20)=op2(e23,e20)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f167,plain,(
% 1.68/0.74 ~op2(e21,e20)=op2(e22,e20)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f168,plain,(
% 1.68/0.74 ~op2(e21,e20)=op2(e23,e20)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f171,plain,(
% 1.68/0.74 ~op2(e20,e21)=op2(e22,e21)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f172,plain,(
% 1.68/0.74 ~op2(e20,e21)=op2(e23,e21)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f173,plain,(
% 1.68/0.74 ~op2(e21,e21)=op2(e22,e21)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f174,plain,(
% 1.68/0.74 ~op2(e21,e21)=op2(e23,e21)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f175,plain,(
% 1.68/0.74 ~op2(e22,e21)=op2(e23,e21)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f176,plain,(
% 1.68/0.74 ~op2(e20,e22)=op2(e21,e22)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f177,plain,(
% 1.68/0.74 ~op2(e20,e22)=op2(e22,e22)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f178,plain,(
% 1.68/0.74 ~op2(e20,e22)=op2(e23,e22)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f180,plain,(
% 1.68/0.74 ~op2(e21,e22)=op2(e23,e22)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f188,plain,(
% 1.68/0.74 ~op2(e20,e20)=op2(e20,e21)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f190,plain,(
% 1.68/0.74 ~op2(e20,e20)=op2(e20,e23)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f192,plain,(
% 1.68/0.74 ~op2(e20,e21)=op2(e20,e23)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f193,plain,(
% 1.68/0.74 ~op2(e20,e22)=op2(e20,e23)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f195,plain,(
% 1.68/0.74 ~op2(e21,e20)=op2(e21,e22)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f197,plain,(
% 1.68/0.74 ~op2(e21,e21)=op2(e21,e22)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f198,plain,(
% 1.68/0.74 ~op2(e21,e21)=op2(e21,e23)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f199,plain,(
% 1.68/0.74 ~op2(e21,e22)=op2(e21,e23)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f200,plain,(
% 1.68/0.74 ~op2(e22,e20)=op2(e22,e21)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f203,plain,(
% 1.68/0.74 ~op2(e22,e21)=op2(e22,e22)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f204,plain,(
% 1.68/0.74 ~op2(e22,e21)=op2(e22,e23)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f207,plain,(
% 1.68/0.74 ~op2(e23,e20)=op2(e23,e22)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f208,plain,(
% 1.68/0.74 ~op2(e23,e20)=op2(e23,e23)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f210,plain,(
% 1.68/0.74 ~op2(e23,e21)=op2(e23,e23)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f211,plain,(
% 1.68/0.74 ~op2(e23,e22)=op2(e23,e23)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f6])).
% 1.68/0.74 fof(f212,plain,(
% 1.68/0.74 ~e10=e11),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f7])).
% 1.68/0.74 fof(f213,plain,(
% 1.68/0.74 ~e10=e12),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f7])).
% 1.68/0.74 fof(f214,plain,(
% 1.68/0.74 ~e10=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f7])).
% 1.68/0.74 fof(f215,plain,(
% 1.68/0.74 ~e11=e12),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f7])).
% 1.68/0.74 fof(f216,plain,(
% 1.68/0.74 ~e11=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f7])).
% 1.68/0.74 fof(f217,plain,(
% 1.68/0.74 ~e12=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f7])).
% 1.68/0.74 fof(f218,plain,(
% 1.68/0.74 ~e20=e21),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f8])).
% 1.68/0.74 fof(f219,plain,(
% 1.68/0.74 ~e20=e22),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f8])).
% 1.68/0.74 fof(f220,plain,(
% 1.68/0.74 ~e20=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f8])).
% 1.68/0.74 fof(f221,plain,(
% 1.68/0.74 ~e21=e22),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f8])).
% 1.68/0.74 fof(f222,plain,(
% 1.68/0.74 ~e21=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f8])).
% 1.68/0.74 fof(f223,plain,(
% 1.68/0.74 ~e22=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f8])).
% 1.68/0.74 fof(f240,definition,(
% 1.68/0.74 sP0_prd<=>(((((~op1(e10,op1(e10,e10))=e10&~op1(e10,op1(e10,e11))=e11)&~op1(e10,op1(e10,e12))=e12)&~op1(e10,op1(e10,e13))=e13)|(((~op1(e11,op1(e11,e10))=e10&~op1(e11,op1(e11,e11))=e11)&~op1(e11,op1(e11,e12))=e12)&~op1(e11,op1(e11,e13))=e13))|(((~op1(e12,op1(e12,e10))=e10&~op1(e12,op1(e12,e11))=e11)&~op1(e12,op1(e12,e12))=e12)&~op1(e12,op1(e12,e13))=e13))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 1.68/0.74 fof(f241,definition,(
% 1.68/0.74 sP1_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e13,e13)=e13&op1(e13,e13)=e13)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e13,e13)=e13&op1(e13,e13)=e13)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e13,e13)=e13&op1(e13,e13)=e13)&op1(e12,e13)=e13)&op1(e13,e12)=e13))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 1.68/0.74 fof(f242,plain,(
% 1.68/0.74 (((((((op1(e10,e10)=e10|op1(e11,e10)=e11)|op1(e12,e10)=e12)|op1(e13,e10)=e13)&(((op1(e10,e11)=e10|op1(e11,e11)=e11)|op1(e12,e11)=e12)|op1(e13,e11)=e13))&(((op1(e10,e12)=e10|op1(e11,e12)=e11)|op1(e12,e12)=e12)|op1(e13,e12)=e13))&(((op1(e10,e13)=e10|op1(e11,e13)=e11)|op1(e12,e13)=e12)|op1(e13,e13)=e13))&(sP0_prd|(((~op1(e13,op1(e13,e10))=e10&~op1(e13,op1(e13,e11))=e11)&~op1(e13,op1(e13,e12))=e12)&~op1(e13,op1(e13,e13))=e13)))&(sP1_prd|(((op1(e13,e13)=e13&op1(e13,e13)=e13)&op1(e13,e13)=e13)&op1(e13,e13)=e13))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f10,f241,f240])).
% 1.68/0.74 fof(f243,plain,(
% 1.68/0.74 op1(e10,e10)=e10|op1(e11,e10)=e11|op1(e12,e10)=e12|op1(e13,e10)=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f242])).
% 1.68/0.74 fof(f245,plain,(
% 1.68/0.74 op1(e10,e12)=e10|op1(e11,e12)=e11|op1(e12,e12)=e12|op1(e13,e12)=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f242])).
% 1.68/0.74 fof(f246,plain,(
% 1.68/0.74 op1(e10,e13)=e10|op1(e11,e13)=e11|op1(e12,e13)=e12|op1(e13,e13)=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f242])).
% 1.68/0.74 fof(f248,plain,(
% 1.68/0.74 sP0_prd|~op1(e13,op1(e13,e11))=e11),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f242])).
% 1.68/0.74 fof(f255,definition,(
% 1.68/0.74 sP2_prd<=>(((((~op2(e20,op2(e20,e20))=e20&~op2(e20,op2(e20,e21))=e21)&~op2(e20,op2(e20,e22))=e22)&~op2(e20,op2(e20,e23))=e23)|(((~op2(e21,op2(e21,e20))=e20&~op2(e21,op2(e21,e21))=e21)&~op2(e21,op2(e21,e22))=e22)&~op2(e21,op2(e21,e23))=e23))|(((~op2(e22,op2(e22,e20))=e20&~op2(e22,op2(e22,e21))=e21)&~op2(e22,op2(e22,e22))=e22)&~op2(e22,op2(e22,e23))=e23))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 1.68/0.74 fof(f256,definition,(
% 1.68/0.74 sP3_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e22,e23)=e23)&op2(e23,e22)=e23))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 1.68/0.74 fof(f257,plain,(
% 1.68/0.74 (((((((op2(e20,e20)=e20|op2(e21,e20)=e21)|op2(e22,e20)=e22)|op2(e23,e20)=e23)&(((op2(e20,e21)=e20|op2(e21,e21)=e21)|op2(e22,e21)=e22)|op2(e23,e21)=e23))&(((op2(e20,e22)=e20|op2(e21,e22)=e21)|op2(e22,e22)=e22)|op2(e23,e22)=e23))&(((op2(e20,e23)=e20|op2(e21,e23)=e21)|op2(e22,e23)=e22)|op2(e23,e23)=e23))&(sP2_prd|(((~op2(e23,op2(e23,e20))=e20&~op2(e23,op2(e23,e21))=e21)&~op2(e23,op2(e23,e22))=e22)&~op2(e23,op2(e23,e23))=e23)))&(sP3_prd|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e23,e23)=e23)&op2(e23,e23)=e23))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f11,f256,f255])).
% 1.68/0.74 fof(f258,plain,(
% 1.68/0.74 op2(e20,e20)=e20|op2(e21,e20)=e21|op2(e22,e20)=e22|op2(e23,e20)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f257])).
% 1.68/0.74 fof(f259,plain,(
% 1.68/0.74 op2(e20,e21)=e20|op2(e21,e21)=e21|op2(e22,e21)=e22|op2(e23,e21)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f257])).
% 1.68/0.74 fof(f260,plain,(
% 1.68/0.74 op2(e20,e22)=e20|op2(e21,e22)=e21|op2(e22,e22)=e22|op2(e23,e22)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f257])).
% 1.68/0.74 fof(f261,plain,(
% 1.68/0.74 op2(e20,e23)=e20|op2(e21,e23)=e21|op2(e22,e23)=e22|op2(e23,e23)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f257])).
% 1.68/0.74 fof(f263,plain,(
% 1.68/0.74 sP2_prd|~op2(e23,op2(e23,e21))=e21),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f257])).
% 1.68/0.74 fof(f270,plain,(
% 1.68/0.74 e10=op1(e11,e11)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f12])).
% 1.68/0.74 fof(f271,plain,(
% 1.68/0.74 e12=op1(op1(op1(e11,e11),e11),op1(e11,e11))),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f12])).
% 1.68/0.74 fof(f272,plain,(
% 1.68/0.74 e13=op1(op1(e11,e11),e11)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f12])).
% 1.68/0.74 fof(f273,plain,(
% 1.68/0.74 e20=op2(e21,e21)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f13])).
% 1.68/0.74 fof(f274,plain,(
% 1.68/0.74 e22=op2(op2(op2(e21,e21),e21),op2(e21,e21))),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f13])).
% 1.68/0.74 fof(f275,plain,(
% 1.68/0.74 e23=op2(op2(e21,e21),e21)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f13])).
% 1.68/0.74 fof(f276,plain,(
% 1.68/0.74 h1(e11)=e20),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f14])).
% 1.68/0.74 fof(f277,plain,(
% 1.68/0.74 h1(e10)=op2(e20,e20)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f14])).
% 1.68/0.74 fof(f278,plain,(
% 1.68/0.74 h1(e12)=op2(op2(op2(e20,e20),e20),op2(e20,e20))),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f14])).
% 1.68/0.74 fof(f279,plain,(
% 1.68/0.74 h1(e13)=op2(op2(e20,e20),e20)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f14])).
% 1.68/0.74 fof(f280,plain,(
% 1.68/0.74 h2(e11)=e21),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f15])).
% 1.68/0.74 fof(f281,plain,(
% 1.68/0.74 h2(e10)=op2(e21,e21)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f15])).
% 1.68/0.74 fof(f282,plain,(
% 1.68/0.74 h2(e12)=op2(op2(op2(e21,e21),e21),op2(e21,e21))),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f15])).
% 1.68/0.74 fof(f283,plain,(
% 1.68/0.74 h2(e13)=op2(op2(e21,e21),e21)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f15])).
% 1.68/0.74 fof(f284,plain,(
% 1.68/0.74 h3(e11)=e22),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f16])).
% 1.68/0.74 fof(f285,plain,(
% 1.68/0.74 h3(e10)=op2(e22,e22)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f16])).
% 1.68/0.74 fof(f286,plain,(
% 1.68/0.74 h3(e12)=op2(op2(op2(e22,e22),e22),op2(e22,e22))),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f16])).
% 1.68/0.74 fof(f287,plain,(
% 1.68/0.74 h3(e13)=op2(op2(e22,e22),e22)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f16])).
% 1.68/0.74 fof(f288,plain,(
% 1.68/0.74 h4(e11)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f17])).
% 1.68/0.74 fof(f289,plain,(
% 1.68/0.74 h4(e10)=op2(e23,e23)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f17])).
% 1.68/0.74 fof(f290,plain,(
% 1.68/0.74 h4(e12)=op2(op2(op2(e23,e23),e23),op2(e23,e23))),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f17])).
% 1.68/0.74 fof(f291,plain,(
% 1.68/0.74 h4(e13)=op2(op2(e23,e23),e23)),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f17])).
% 1.68/0.74 fof(f292,plain,(
% 1.68/0.74 ((((((((((((((((((((((~h1(op1(e10,e10))=op2(h1(e10),h1(e10))|~h1(op1(e10,e11))=op2(h1(e10),h1(e11)))|~h1(op1(e10,e12))=op2(h1(e10),h1(e12)))|~h1(op1(e10,e13))=op2(h1(e10),h1(e13)))|~h1(op1(e11,e10))=op2(h1(e11),h1(e10)))|~h1(op1(e11,e11))=op2(h1(e11),h1(e11)))|~h1(op1(e11,e12))=op2(h1(e11),h1(e12)))|~h1(op1(e11,e13))=op2(h1(e11),h1(e13)))|~h1(op1(e12,e10))=op2(h1(e12),h1(e10)))|~h1(op1(e12,e11))=op2(h1(e12),h1(e11)))|~h1(op1(e12,e12))=op2(h1(e12),h1(e12)))|~h1(op1(e12,e13))=op2(h1(e12),h1(e13)))|~h1(op1(e13,e10))=op2(h1(e13),h1(e10)))|~h1(op1(e13,e11))=op2(h1(e13),h1(e11)))|~h1(op1(e13,e12))=op2(h1(e13),h1(e12)))|~h1(op1(e13,e13))=op2(h1(e13),h1(e13)))|(((~h1(e10)=e20&~h1(e11)=e20)&~h1(e12)=e20)&~h1(e13)=e20))|(((~h1(e10)=e21&~h1(e11)=e21)&~h1(e12)=e21)&~h1(e13)=e21))|(((~h1(e10)=e22&~h1(e11)=e22)&~h1(e12)=e22)&~h1(e13)=e22))|(((~h1(e10)=e23&~h1(e11)=e23)&~h1(e12)=e23)&~h1(e13)=e23))&(((((((((((((((((((~h2(op1(e10,e10))=op2(h2(e10),h2(e10))|~h2(op1(e10,e11))=op2(h2(e10),h2(e11)))|~h2(op1(e10,e12))=op2(h2(e10),h2(e12)))|~h2(op1(e10,e13))=op2(h2(e10),h2(e13)))|~h2(op1(e11,e10))=op2(h2(e11),h2(e10)))|~h2(op1(e11,e11))=op2(h2(e11),h2(e11)))|~h2(op1(e11,e12))=op2(h2(e11),h2(e12)))|~h2(op1(e11,e13))=op2(h2(e11),h2(e13)))|~h2(op1(e12,e10))=op2(h2(e12),h2(e10)))|~h2(op1(e12,e11))=op2(h2(e12),h2(e11)))|~h2(op1(e12,e12))=op2(h2(e12),h2(e12)))|~h2(op1(e12,e13))=op2(h2(e12),h2(e13)))|~h2(op1(e13,e10))=op2(h2(e13),h2(e10)))|~h2(op1(e13,e11))=op2(h2(e13),h2(e11)))|~h2(op1(e13,e12))=op2(h2(e13),h2(e12)))|~h2(op1(e13,e13))=op2(h2(e13),h2(e13)))|(((~h2(e10)=e20&~h2(e11)=e20)&~h2(e12)=e20)&~h2(e13)=e20))|(((~h2(e10)=e21&~h2(e11)=e21)&~h2(e12)=e21)&~h2(e13)=e21))|(((~h2(e10)=e22&~h2(e11)=e22)&~h2(e12)=e22)&~h2(e13)=e22))|(((~h2(e10)=e23&~h2(e11)=e23)&~h2(e12)=e23)&~h2(e13)=e23)))&(((((((((((((((((((~h3(op1(e10,e10))=op2(h3(e10),h3(e10))|~h3(op1(e10,e11))=op2(h3(e10),h3(e11)))|~h3(op1(e10,e12))=op2(h3(e10),h3(e12)))|~h3(op1(e10,e13))=op2(h3(e10),h3(e13)))|~h3(op1(e11,e10))=op2(h3(e11),h3(e10)))|~h3(op1(e11,e11))=op2(h3(e11),h3(e11)))|~h3(op1(e11,e12))=op2(h3(e11),h3(e12)))|~h3(op1(e11,e13))=op2(h3(e11),h3(e13)))|~h3(op1(e12,e10))=op2(h3(e12),h3(e10)))|~h3(op1(e12,e11))=op2(h3(e12),h3(e11)))|~h3(op1(e12,e12))=op2(h3(e12),h3(e12)))|~h3(op1(e12,e13))=op2(h3(e12),h3(e13)))|~h3(op1(e13,e10))=op2(h3(e13),h3(e10)))|~h3(op1(e13,e11))=op2(h3(e13),h3(e11)))|~h3(op1(e13,e12))=op2(h3(e13),h3(e12)))|~h3(op1(e13,e13))=op2(h3(e13),h3(e13)))|(((~h3(e10)=e20&~h3(e11)=e20)&~h3(e12)=e20)&~h3(e13)=e20))|(((~h3(e10)=e21&~h3(e11)=e21)&~h3(e12)=e21)&~h3(e13)=e21))|(((~h3(e10)=e22&~h3(e11)=e22)&~h3(e12)=e22)&~h3(e13)=e22))|(((~h3(e10)=e23&~h3(e11)=e23)&~h3(e12)=e23)&~h3(e13)=e23)))&(((((((((((((((((((~h4(op1(e10,e10))=op2(h4(e10),h4(e10))|~h4(op1(e10,e11))=op2(h4(e10),h4(e11)))|~h4(op1(e10,e12))=op2(h4(e10),h4(e12)))|~h4(op1(e10,e13))=op2(h4(e10),h4(e13)))|~h4(op1(e11,e10))=op2(h4(e11),h4(e10)))|~h4(op1(e11,e11))=op2(h4(e11),h4(e11)))|~h4(op1(e11,e12))=op2(h4(e11),h4(e12)))|~h4(op1(e11,e13))=op2(h4(e11),h4(e13)))|~h4(op1(e12,e10))=op2(h4(e12),h4(e10)))|~h4(op1(e12,e11))=op2(h4(e12),h4(e11)))|~h4(op1(e12,e12))=op2(h4(e12),h4(e12)))|~h4(op1(e12,e13))=op2(h4(e12),h4(e13)))|~h4(op1(e13,e10))=op2(h4(e13),h4(e10)))|~h4(op1(e13,e11))=op2(h4(e13),h4(e11)))|~h4(op1(e13,e12))=op2(h4(e13),h4(e12)))|~h4(op1(e13,e13))=op2(h4(e13),h4(e13)))|(((~h4(e10)=e20&~h4(e11)=e20)&~h4(e12)=e20)&~h4(e13)=e20))|(((~h4(e10)=e21&~h4(e11)=e21)&~h4(e12)=e21)&~h4(e13)=e21))|(((~h4(e10)=e22&~h4(e11)=e22)&~h4(e12)=e22)&~h4(e13)=e22))|(((~h4(e10)=e23&~h4(e11)=e23)&~h4(e12)=e23)&~h4(e13)=e23)))),
% 1.68/0.74 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 1.68/0.74 fof(f293,definition,(
% 1.68/0.74 sP4_prd<=>(((~h1(e10)=e20&~h1(e11)=e20)&~h1(e12)=e20)&~h1(e13)=e20)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 1.68/0.74 fof(f294,definition,(
% 1.68/0.74 sP5_prd<=>(((~h1(e10)=e21&~h1(e11)=e21)&~h1(e12)=e21)&~h1(e13)=e21)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 1.68/0.74 fof(f295,definition,(
% 1.68/0.74 sP6_prd<=>(((~h1(e10)=e22&~h1(e11)=e22)&~h1(e12)=e22)&~h1(e13)=e22)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 1.68/0.74 fof(f296,definition,(
% 1.68/0.74 sP7_prd<=>(((~h2(e10)=e20&~h2(e11)=e20)&~h2(e12)=e20)&~h2(e13)=e20)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 1.68/0.74 fof(f297,definition,(
% 1.68/0.74 sP8_prd<=>(((~h2(e10)=e21&~h2(e11)=e21)&~h2(e12)=e21)&~h2(e13)=e21)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 1.68/0.74 fof(f298,definition,(
% 1.68/0.74 sP9_prd<=>(((~h2(e10)=e22&~h2(e11)=e22)&~h2(e12)=e22)&~h2(e13)=e22)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 1.68/0.74 fof(f299,definition,(
% 1.68/0.74 sP10_prd<=>(((~h3(e10)=e20&~h3(e11)=e20)&~h3(e12)=e20)&~h3(e13)=e20)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 1.68/0.74 fof(f300,definition,(
% 1.68/0.74 sP11_prd<=>(((~h3(e10)=e21&~h3(e11)=e21)&~h3(e12)=e21)&~h3(e13)=e21)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 1.68/0.74 fof(f301,definition,(
% 1.68/0.74 sP12_prd<=>(((~h3(e10)=e22&~h3(e11)=e22)&~h3(e12)=e22)&~h3(e13)=e22)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 1.68/0.74 fof(f302,definition,(
% 1.68/0.74 sP13_prd<=>(((~h4(e10)=e20&~h4(e11)=e20)&~h4(e12)=e20)&~h4(e13)=e20)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 1.68/0.74 fof(f303,definition,(
% 1.68/0.74 sP14_prd<=>(((~h4(e10)=e21&~h4(e11)=e21)&~h4(e12)=e21)&~h4(e13)=e21)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 1.68/0.74 fof(f304,definition,(
% 1.68/0.74 sP15_prd<=>(((~h4(e10)=e22&~h4(e11)=e22)&~h4(e12)=e22)&~h4(e13)=e22)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 1.68/0.74 fof(f305,plain,(
% 1.68/0.74 (((((((((((((((((((((~h1(op1(e10,e10))=op2(h1(e10),h1(e10))|~h1(op1(e10,e11))=op2(h1(e10),h1(e11)))|~h1(op1(e10,e12))=op2(h1(e10),h1(e12)))|~h1(op1(e10,e13))=op2(h1(e10),h1(e13)))|~h1(op1(e11,e10))=op2(h1(e11),h1(e10)))|~h1(op1(e11,e11))=op2(h1(e11),h1(e11)))|~h1(op1(e11,e12))=op2(h1(e11),h1(e12)))|~h1(op1(e11,e13))=op2(h1(e11),h1(e13)))|~h1(op1(e12,e10))=op2(h1(e12),h1(e10)))|~h1(op1(e12,e11))=op2(h1(e12),h1(e11)))|~h1(op1(e12,e12))=op2(h1(e12),h1(e12)))|~h1(op1(e12,e13))=op2(h1(e12),h1(e13)))|~h1(op1(e13,e10))=op2(h1(e13),h1(e10)))|~h1(op1(e13,e11))=op2(h1(e13),h1(e11)))|~h1(op1(e13,e12))=op2(h1(e13),h1(e12)))|~h1(op1(e13,e13))=op2(h1(e13),h1(e13)))|sP4_prd)|sP5_prd)|sP6_prd)|(((~h1(e10)=e23&~h1(e11)=e23)&~h1(e12)=e23)&~h1(e13)=e23))&(((((((((((((((((((~h2(op1(e10,e10))=op2(h2(e10),h2(e10))|~h2(op1(e10,e11))=op2(h2(e10),h2(e11)))|~h2(op1(e10,e12))=op2(h2(e10),h2(e12)))|~h2(op1(e10,e13))=op2(h2(e10),h2(e13)))|~h2(op1(e11,e10))=op2(h2(e11),h2(e10)))|~h2(op1(e11,e11))=op2(h2(e11),h2(e11)))|~h2(op1(e11,e12))=op2(h2(e11),h2(e12)))|~h2(op1(e11,e13))=op2(h2(e11),h2(e13)))|~h2(op1(e12,e10))=op2(h2(e12),h2(e10)))|~h2(op1(e12,e11))=op2(h2(e12),h2(e11)))|~h2(op1(e12,e12))=op2(h2(e12),h2(e12)))|~h2(op1(e12,e13))=op2(h2(e12),h2(e13)))|~h2(op1(e13,e10))=op2(h2(e13),h2(e10)))|~h2(op1(e13,e11))=op2(h2(e13),h2(e11)))|~h2(op1(e13,e12))=op2(h2(e13),h2(e12)))|~h2(op1(e13,e13))=op2(h2(e13),h2(e13)))|sP7_prd)|sP8_prd)|sP9_prd)|(((~h2(e10)=e23&~h2(e11)=e23)&~h2(e12)=e23)&~h2(e13)=e23)))&(((((((((((((((((((~h3(op1(e10,e10))=op2(h3(e10),h3(e10))|~h3(op1(e10,e11))=op2(h3(e10),h3(e11)))|~h3(op1(e10,e12))=op2(h3(e10),h3(e12)))|~h3(op1(e10,e13))=op2(h3(e10),h3(e13)))|~h3(op1(e11,e10))=op2(h3(e11),h3(e10)))|~h3(op1(e11,e11))=op2(h3(e11),h3(e11)))|~h3(op1(e11,e12))=op2(h3(e11),h3(e12)))|~h3(op1(e11,e13))=op2(h3(e11),h3(e13)))|~h3(op1(e12,e10))=op2(h3(e12),h3(e10)))|~h3(op1(e12,e11))=op2(h3(e12),h3(e11)))|~h3(op1(e12,e12))=op2(h3(e12),h3(e12)))|~h3(op1(e12,e13))=op2(h3(e12),h3(e13)))|~h3(op1(e13,e10))=op2(h3(e13),h3(e10)))|~h3(op1(e13,e11))=op2(h3(e13),h3(e11)))|~h3(op1(e13,e12))=op2(h3(e13),h3(e12)))|~h3(op1(e13,e13))=op2(h3(e13),h3(e13)))|sP10_prd)|sP11_prd)|sP12_prd)|(((~h3(e10)=e23&~h3(e11)=e23)&~h3(e12)=e23)&~h3(e13)=e23)))&(((((((((((((((((((~h4(op1(e10,e10))=op2(h4(e10),h4(e10))|~h4(op1(e10,e11))=op2(h4(e10),h4(e11)))|~h4(op1(e10,e12))=op2(h4(e10),h4(e12)))|~h4(op1(e10,e13))=op2(h4(e10),h4(e13)))|~h4(op1(e11,e10))=op2(h4(e11),h4(e10)))|~h4(op1(e11,e11))=op2(h4(e11),h4(e11)))|~h4(op1(e11,e12))=op2(h4(e11),h4(e12)))|~h4(op1(e11,e13))=op2(h4(e11),h4(e13)))|~h4(op1(e12,e10))=op2(h4(e12),h4(e10)))|~h4(op1(e12,e11))=op2(h4(e12),h4(e11)))|~h4(op1(e12,e12))=op2(h4(e12),h4(e12)))|~h4(op1(e12,e13))=op2(h4(e12),h4(e13)))|~h4(op1(e13,e10))=op2(h4(e13),h4(e10)))|~h4(op1(e13,e11))=op2(h4(e13),h4(e11)))|~h4(op1(e13,e12))=op2(h4(e13),h4(e12)))|~h4(op1(e13,e13))=op2(h4(e13),h4(e13)))|sP13_prd)|sP14_prd)|sP15_prd)|(((~h4(e10)=e23&~h4(e11)=e23)&~h4(e12)=e23)&~h4(e13)=e23))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f292,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293])).
% 1.68/0.74 fof(f314,plain,(
% 1.68/0.74 ~h3(op1(e10,e10))=op2(h3(e10),h3(e10))|~h3(op1(e10,e11))=op2(h3(e10),h3(e11))|~h3(op1(e10,e12))=op2(h3(e10),h3(e12))|~h3(op1(e10,e13))=op2(h3(e10),h3(e13))|~h3(op1(e11,e10))=op2(h3(e11),h3(e10))|~h3(op1(e11,e11))=op2(h3(e11),h3(e11))|~h3(op1(e11,e12))=op2(h3(e11),h3(e12))|~h3(op1(e11,e13))=op2(h3(e11),h3(e13))|~h3(op1(e12,e10))=op2(h3(e12),h3(e10))|~h3(op1(e12,e11))=op2(h3(e12),h3(e11))|~h3(op1(e12,e12))=op2(h3(e12),h3(e12))|~h3(op1(e12,e13))=op2(h3(e12),h3(e13))|~h3(op1(e13,e10))=op2(h3(e13),h3(e10))|~h3(op1(e13,e11))=op2(h3(e13),h3(e11))|~h3(op1(e13,e12))=op2(h3(e13),h3(e12))|~h3(op1(e13,e13))=op2(h3(e13),h3(e13))|sP10_prd|sP11_prd|sP12_prd|~h3(e10)=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f305])).
% 1.68/0.74 fof(f322,definition,(
% 1.68/0.74 sP16_prd<=>((((~op1(e10,op1(e10,e10))=e10&~op1(e10,op1(e10,e11))=e11)&~op1(e10,op1(e10,e12))=e12)&~op1(e10,op1(e10,e13))=e13)|(((~op1(e11,op1(e11,e10))=e10&~op1(e11,op1(e11,e11))=e11)&~op1(e11,op1(e11,e12))=e12)&~op1(e11,op1(e11,e13))=e13))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP16_prd])],[])).
% 1.68/0.74 fof(f323,plain,(
% 1.68/0.74 sP0_prd<=>(sP16_prd|(((~op1(e12,op1(e12,e10))=e10&~op1(e12,op1(e12,e11))=e11)&~op1(e12,op1(e12,e12))=e12)&~op1(e12,op1(e12,e13))=e13))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f240,f322])).
% 1.68/0.74 fof(f324,plain,(
% 1.68/0.74 (~sP0_prd|(sP16_prd|(((~op1(e12,op1(e12,e10))=e10&~op1(e12,op1(e12,e11))=e11)&~op1(e12,op1(e12,e12))=e12)&~op1(e12,op1(e12,e13))=e13)))&(sP0_prd|(~sP16_prd&(((op1(e12,op1(e12,e10))=e10|op1(e12,op1(e12,e11))=e11)|op1(e12,op1(e12,e12))=e12)|op1(e12,op1(e12,e13))=e13)))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f323])).
% 1.68/0.74 fof(f328,plain,(
% 1.68/0.74 ~sP0_prd|sP16_prd|~op1(e12,op1(e12,e13))=e13),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f324])).
% 1.68/0.74 fof(f331,definition,(
% 1.68/0.74 sP17_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e13,e13)=e13&op1(e13,e13)=e13)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e13,e13)=e13&op1(e13,e13)=e13)&op1(e11,e13)=e13)&op1(e13,e11)=e13))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 1.68/0.74 fof(f340,definition,(
% 1.68/0.74 sP18_prd<=>((((~op2(e20,op2(e20,e20))=e20&~op2(e20,op2(e20,e21))=e21)&~op2(e20,op2(e20,e22))=e22)&~op2(e20,op2(e20,e23))=e23)|(((~op2(e21,op2(e21,e20))=e20&~op2(e21,op2(e21,e21))=e21)&~op2(e21,op2(e21,e22))=e22)&~op2(e21,op2(e21,e23))=e23))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 1.68/0.74 fof(f341,plain,(
% 1.68/0.74 sP2_prd<=>(sP18_prd|(((~op2(e22,op2(e22,e20))=e20&~op2(e22,op2(e22,e21))=e21)&~op2(e22,op2(e22,e22))=e22)&~op2(e22,op2(e22,e23))=e23))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f255,f340])).
% 1.68/0.74 fof(f342,plain,(
% 1.68/0.74 (~sP2_prd|(sP18_prd|(((~op2(e22,op2(e22,e20))=e20&~op2(e22,op2(e22,e21))=e21)&~op2(e22,op2(e22,e22))=e22)&~op2(e22,op2(e22,e23))=e23)))&(sP2_prd|(~sP18_prd&(((op2(e22,op2(e22,e20))=e20|op2(e22,op2(e22,e21))=e21)|op2(e22,op2(e22,e22))=e22)|op2(e22,op2(e22,e23))=e23)))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f341])).
% 1.68/0.74 fof(f343,plain,(
% 1.68/0.74 ~sP2_prd|sP18_prd|~op2(e22,op2(e22,e20))=e20),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f342])).
% 1.68/0.74 fof(f344,plain,(
% 1.68/0.74 ~sP2_prd|sP18_prd|~op2(e22,op2(e22,e21))=e21),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f342])).
% 1.68/0.74 fof(f345,plain,(
% 1.68/0.74 ~sP2_prd|sP18_prd|~op2(e22,op2(e22,e22))=e22),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f342])).
% 1.68/0.74 fof(f346,plain,(
% 1.68/0.74 ~sP2_prd|sP18_prd|~op2(e22,op2(e22,e23))=e23),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f342])).
% 1.68/0.74 fof(f349,definition,(
% 1.68/0.74 sP19_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e21,e23)=e23)&op2(e23,e21)=e23))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 1.68/0.74 fof(f350,plain,(
% 1.68/0.74 sP3_prd<=>(sP19_prd|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e22,e23)=e23)&op2(e23,e22)=e23))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f256,f349])).
% 1.68/0.74 fof(f351,plain,(
% 1.68/0.74 (~sP3_prd|(sP19_prd|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e22,e23)=e23)&op2(e23,e22)=e23)))&(sP3_prd|(~sP19_prd&(((~op2(e23,e23)=e23|~op2(e23,e23)=e23)|~op2(e22,e23)=e23)|~op2(e23,e22)=e23)))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f350])).
% 1.68/0.74 fof(f356,plain,(
% 1.68/0.74 sP3_prd|~sP19_prd),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f351])).
% 1.68/0.74 fof(f358,plain,(
% 1.68/0.74 (~sP4_prd|(((~h1(e10)=e20&~h1(e11)=e20)&~h1(e12)=e20)&~h1(e13)=e20))&(sP4_prd|(((h1(e10)=e20|h1(e11)=e20)|h1(e12)=e20)|h1(e13)=e20))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f293])).
% 1.68/0.74 fof(f362,plain,(
% 1.68/0.74 ~sP4_prd|~h1(e13)=e20),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f358])).
% 1.68/0.74 fof(f376,plain,(
% 1.68/0.74 (~sP7_prd|(((~h2(e10)=e20&~h2(e11)=e20)&~h2(e12)=e20)&~h2(e13)=e20))&(sP7_prd|(((h2(e10)=e20|h2(e11)=e20)|h2(e12)=e20)|h2(e13)=e20))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f296])).
% 1.68/0.74 fof(f377,plain,(
% 1.68/0.74 ~sP7_prd|~h2(e10)=e20),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f376])).
% 1.68/0.74 fof(f382,plain,(
% 1.68/0.74 (~sP8_prd|(((~h2(e10)=e21&~h2(e11)=e21)&~h2(e12)=e21)&~h2(e13)=e21))&(sP8_prd|(((h2(e10)=e21|h2(e11)=e21)|h2(e12)=e21)|h2(e13)=e21))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f297])).
% 1.68/0.74 fof(f384,plain,(
% 1.68/0.74 ~sP8_prd|~h2(e11)=e21),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f382])).
% 1.68/0.74 fof(f388,plain,(
% 1.68/0.74 (~sP9_prd|(((~h2(e10)=e22&~h2(e11)=e22)&~h2(e12)=e22)&~h2(e13)=e22))&(sP9_prd|(((h2(e10)=e22|h2(e11)=e22)|h2(e12)=e22)|h2(e13)=e22))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f298])).
% 1.68/0.74 fof(f391,plain,(
% 1.68/0.74 ~sP9_prd|~h2(e12)=e22),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f388])).
% 1.68/0.74 fof(f394,plain,(
% 1.68/0.74 (~sP10_prd|(((~h3(e10)=e20&~h3(e11)=e20)&~h3(e12)=e20)&~h3(e13)=e20))&(sP10_prd|(((h3(e10)=e20|h3(e11)=e20)|h3(e12)=e20)|h3(e13)=e20))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f299])).
% 1.68/0.74 fof(f398,plain,(
% 1.68/0.74 ~sP10_prd|~h3(e13)=e20),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f394])).
% 1.68/0.74 fof(f400,plain,(
% 1.68/0.74 (~sP11_prd|(((~h3(e10)=e21&~h3(e11)=e21)&~h3(e12)=e21)&~h3(e13)=e21))&(sP11_prd|(((h3(e10)=e21|h3(e11)=e21)|h3(e12)=e21)|h3(e13)=e21))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f300])).
% 1.68/0.74 fof(f403,plain,(
% 1.68/0.74 ~sP11_prd|~h3(e12)=e21),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f400])).
% 1.68/0.74 fof(f406,plain,(
% 1.68/0.74 (~sP12_prd|(((~h3(e10)=e22&~h3(e11)=e22)&~h3(e12)=e22)&~h3(e13)=e22))&(sP12_prd|(((h3(e10)=e22|h3(e11)=e22)|h3(e12)=e22)|h3(e13)=e22))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f301])).
% 1.68/0.74 fof(f408,plain,(
% 1.68/0.74 ~sP12_prd|~h3(e11)=e22),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f406])).
% 1.68/0.74 fof(f430,definition,(
% 1.68/0.74 sP20_prd<=>(((~op1(e10,op1(e10,e10))=e10&~op1(e10,op1(e10,e11))=e11)&~op1(e10,op1(e10,e12))=e12)&~op1(e10,op1(e10,e13))=e13)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP20_prd])],[])).
% 1.68/0.74 fof(f431,plain,(
% 1.68/0.74 sP16_prd<=>(sP20_prd|(((~op1(e11,op1(e11,e10))=e10&~op1(e11,op1(e11,e11))=e11)&~op1(e11,op1(e11,e12))=e12)&~op1(e11,op1(e11,e13))=e13))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f322,f430])).
% 1.68/0.74 fof(f432,plain,(
% 1.68/0.74 (~sP16_prd|(sP20_prd|(((~op1(e11,op1(e11,e10))=e10&~op1(e11,op1(e11,e11))=e11)&~op1(e11,op1(e11,e12))=e12)&~op1(e11,op1(e11,e13))=e13)))&(sP16_prd|(~sP20_prd&(((op1(e11,op1(e11,e10))=e10|op1(e11,op1(e11,e11))=e11)|op1(e11,op1(e11,e12))=e12)|op1(e11,op1(e11,e13))=e13)))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f431])).
% 1.68/0.74 fof(f435,plain,(
% 1.68/0.74 ~sP16_prd|sP20_prd|~op1(e11,op1(e11,e12))=e12),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f432])).
% 1.68/0.74 fof(f439,definition,(
% 1.68/0.74 sP21_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e13,e13)=e13&op1(e13,e13)=e13)&op1(e10,e13)=e13)&op1(e13,e10)=e13))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 1.68/0.74 fof(f448,definition,(
% 1.68/0.74 sP22_prd<=>(((~op2(e20,op2(e20,e20))=e20&~op2(e20,op2(e20,e21))=e21)&~op2(e20,op2(e20,e22))=e22)&~op2(e20,op2(e20,e23))=e23)),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 1.68/0.74 fof(f449,plain,(
% 1.68/0.74 sP18_prd<=>(sP22_prd|(((~op2(e21,op2(e21,e20))=e20&~op2(e21,op2(e21,e21))=e21)&~op2(e21,op2(e21,e22))=e22)&~op2(e21,op2(e21,e23))=e23))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f340,f448])).
% 1.68/0.74 fof(f450,plain,(
% 1.68/0.74 (~sP18_prd|(sP22_prd|(((~op2(e21,op2(e21,e20))=e20&~op2(e21,op2(e21,e21))=e21)&~op2(e21,op2(e21,e22))=e22)&~op2(e21,op2(e21,e23))=e23)))&(sP18_prd|(~sP22_prd&(((op2(e21,op2(e21,e20))=e20|op2(e21,op2(e21,e21))=e21)|op2(e21,op2(e21,e22))=e22)|op2(e21,op2(e21,e23))=e23)))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f449])).
% 1.68/0.74 fof(f452,plain,(
% 1.68/0.74 ~sP18_prd|sP22_prd|~op2(e21,op2(e21,e21))=e21),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f450])).
% 1.68/0.74 fof(f453,plain,(
% 1.68/0.74 ~sP18_prd|sP22_prd|~op2(e21,op2(e21,e22))=e22),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f450])).
% 1.68/0.74 fof(f455,plain,(
% 1.68/0.74 sP18_prd|~sP22_prd),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f450])).
% 1.68/0.74 fof(f457,definition,(
% 1.68/0.74 sP23_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e20,e23)=e23)&op2(e23,e20)=e23))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 1.68/0.74 fof(f458,plain,(
% 1.68/0.74 sP19_prd<=>(sP23_prd|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e21,e23)=e23)&op2(e23,e21)=e23))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f349,f457])).
% 1.68/0.74 fof(f459,plain,(
% 1.68/0.74 (~sP19_prd|(sP23_prd|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e21,e23)=e23)&op2(e23,e21)=e23)))&(sP19_prd|(~sP23_prd&(((~op2(e23,e23)=e23|~op2(e23,e23)=e23)|~op2(e21,e23)=e23)|~op2(e23,e21)=e23)))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f458])).
% 1.68/0.74 fof(f464,plain,(
% 1.68/0.74 sP19_prd|~sP23_prd),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f459])).
% 1.68/0.74 fof(f466,plain,(
% 1.68/0.74 (~sP20_prd|(((~op1(e10,op1(e10,e10))=e10&~op1(e10,op1(e10,e11))=e11)&~op1(e10,op1(e10,e12))=e12)&~op1(e10,op1(e10,e13))=e13))&(sP20_prd|(((op1(e10,op1(e10,e10))=e10|op1(e10,op1(e10,e11))=e11)|op1(e10,op1(e10,e12))=e12)|op1(e10,op1(e10,e13))=e13))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f430])).
% 1.68/0.74 fof(f467,plain,(
% 1.68/0.74 ~sP20_prd|~op1(e10,op1(e10,e10))=e10),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f466])).
% 1.68/0.74 fof(f472,definition,(
% 1.68/0.74 sP24_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e13,e12)=e12)&op1(e12,e13)=e12))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP24_prd])],[])).
% 1.68/0.74 fof(f481,plain,(
% 1.68/0.74 (~sP22_prd|(((~op2(e20,op2(e20,e20))=e20&~op2(e20,op2(e20,e21))=e21)&~op2(e20,op2(e20,e22))=e22)&~op2(e20,op2(e20,e23))=e23))&(sP22_prd|(((op2(e20,op2(e20,e20))=e20|op2(e20,op2(e20,e21))=e21)|op2(e20,op2(e20,e22))=e22)|op2(e20,op2(e20,e23))=e23))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f448])).
% 1.68/0.74 fof(f482,plain,(
% 1.68/0.74 ~sP22_prd|~op2(e20,op2(e20,e20))=e20),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f481])).
% 1.68/0.74 fof(f487,definition,(
% 1.68/0.74 sP25_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e23,e22)=e22)&op2(e22,e23)=e22))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP25_prd])],[])).
% 1.68/0.74 fof(f488,plain,(
% 1.68/0.74 sP23_prd<=>(sP25_prd|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e20,e23)=e23)&op2(e23,e20)=e23))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f457,f487])).
% 1.68/0.74 fof(f489,plain,(
% 1.68/0.74 (~sP23_prd|(sP25_prd|(((op2(e23,e23)=e23&op2(e23,e23)=e23)&op2(e20,e23)=e23)&op2(e23,e20)=e23)))&(sP23_prd|(~sP25_prd&(((~op2(e23,e23)=e23|~op2(e23,e23)=e23)|~op2(e20,e23)=e23)|~op2(e23,e20)=e23)))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f488])).
% 1.68/0.74 fof(f494,plain,(
% 1.68/0.74 sP23_prd|~sP25_prd),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f489])).
% 1.68/0.74 fof(f496,definition,(
% 1.68/0.74 sP26_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e12,e12)=e12)&op1(e12,e12)=e12))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP26_prd])],[])).
% 1.68/0.74 fof(f505,definition,(
% 1.68/0.74 sP27_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e22,e22)=e22)&op2(e22,e22)=e22))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP27_prd])],[])).
% 1.68/0.74 fof(f506,plain,(
% 1.68/0.74 sP25_prd<=>(sP27_prd|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e23,e22)=e22)&op2(e22,e23)=e22))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f487,f505])).
% 1.68/0.74 fof(f507,plain,(
% 1.68/0.74 (~sP25_prd|(sP27_prd|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e23,e22)=e22)&op2(e22,e23)=e22)))&(sP25_prd|(~sP27_prd&(((~op2(e23,e22)=e23|~op2(e22,e23)=e23)|~op2(e23,e22)=e22)|~op2(e22,e23)=e22)))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f506])).
% 1.68/0.74 fof(f512,plain,(
% 1.68/0.74 sP25_prd|~sP27_prd),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f507])).
% 1.68/0.74 fof(f514,definition,(
% 1.68/0.74 sP28_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e11,e12)=e12)&op1(e12,e11)=e12))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP28_prd])],[])).
% 1.68/0.74 fof(f523,definition,(
% 1.68/0.74 sP29_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e21,e22)=e22)&op2(e22,e21)=e22))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP29_prd])],[])).
% 1.68/0.74 fof(f524,plain,(
% 1.68/0.74 sP27_prd<=>(sP29_prd|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e22,e22)=e22)&op2(e22,e22)=e22))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f505,f523])).
% 1.68/0.74 fof(f525,plain,(
% 1.68/0.74 (~sP27_prd|(sP29_prd|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e22,e22)=e22)&op2(e22,e22)=e22)))&(sP27_prd|(~sP29_prd&(((~op2(e23,e22)=e23|~op2(e22,e23)=e23)|~op2(e22,e22)=e22)|~op2(e22,e22)=e22)))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f524])).
% 1.68/0.74 fof(f530,plain,(
% 1.68/0.74 sP27_prd|~sP29_prd),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f525])).
% 1.68/0.74 fof(f532,definition,(
% 1.68/0.74 sP30_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e13,e12)=e13&op1(e12,e13)=e13)&op1(e10,e12)=e12)&op1(e12,e10)=e12))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP30_prd])],[])).
% 1.68/0.74 fof(f541,definition,(
% 1.68/0.74 sP31_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e20,e22)=e22)&op2(e22,e20)=e22))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP31_prd])],[])).
% 1.68/0.74 fof(f542,plain,(
% 1.68/0.74 sP29_prd<=>(sP31_prd|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e21,e22)=e22)&op2(e22,e21)=e22))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f523,f541])).
% 1.68/0.74 fof(f543,plain,(
% 1.68/0.74 (~sP29_prd|(sP31_prd|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e21,e22)=e22)&op2(e22,e21)=e22)))&(sP29_prd|(~sP31_prd&(((~op2(e23,e22)=e23|~op2(e22,e23)=e23)|~op2(e21,e22)=e22)|~op2(e22,e21)=e22)))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f542])).
% 1.68/0.74 fof(f548,plain,(
% 1.68/0.74 sP29_prd|~sP31_prd),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f543])).
% 1.68/0.74 fof(f550,definition,(
% 1.68/0.74 sP32_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e13,e11)=e11)&op1(e11,e13)=e11))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP32_prd])],[])).
% 1.68/0.74 fof(f559,definition,(
% 1.68/0.74 sP33_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e23,e21)=e21)&op2(e21,e23)=e21))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP33_prd])],[])).
% 1.68/0.74 fof(f560,plain,(
% 1.68/0.74 sP31_prd<=>(sP33_prd|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e20,e22)=e22)&op2(e22,e20)=e22))),
% 1.68/0.74 inference(formula_renaming,[status(thm)],[f541,f559])).
% 1.68/0.74 fof(f561,plain,(
% 1.68/0.74 (~sP31_prd|(sP33_prd|(((op2(e23,e22)=e23&op2(e22,e23)=e23)&op2(e20,e22)=e22)&op2(e22,e20)=e22)))&(sP31_prd|(~sP33_prd&(((~op2(e23,e22)=e23|~op2(e22,e23)=e23)|~op2(e20,e22)=e22)|~op2(e22,e20)=e22)))),
% 1.68/0.74 inference(NNF_transformation,[status(thm)],[f560])).
% 1.68/0.74 fof(f566,plain,(
% 1.68/0.74 sP31_prd|~sP33_prd),
% 1.68/0.74 inference(cnf_transformation,[status(thm)],[f561])).
% 1.68/0.74 fof(f568,definition,(
% 1.68/0.74 sP34_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e12,e11)=e11)&op1(e11,e12)=e11))),
% 1.68/0.74 introduced(definition,[new_symbols(definition,[sP34_prd])],[])).
% 1.68/0.74 fof(f577,definition,(
% 1.68/0.74 sP35_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e22,e21)=e21)&op2(e21,e22)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP35_prd])],[])).
% 1.68/0.75 fof(f578,plain,(
% 1.68/0.75 sP33_prd<=>(sP35_prd|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e23,e21)=e21)&op2(e21,e23)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f559,f577])).
% 1.68/0.75 fof(f579,plain,(
% 1.68/0.75 (~sP33_prd|(sP35_prd|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e23,e21)=e21)&op2(e21,e23)=e21)))&(sP33_prd|(~sP35_prd&(((~op2(e23,e21)=e23|~op2(e21,e23)=e23)|~op2(e23,e21)=e21)|~op2(e21,e23)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f578])).
% 1.68/0.75 fof(f584,plain,(
% 1.68/0.75 sP33_prd|~sP35_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f579])).
% 1.68/0.75 fof(f586,definition,(
% 1.68/0.75 sP36_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e11,e11)=e11)&op1(e11,e11)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP36_prd])],[])).
% 1.68/0.75 fof(f595,definition,(
% 1.68/0.75 sP37_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e21,e21)=e21)&op2(e21,e21)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP37_prd])],[])).
% 1.68/0.75 fof(f596,plain,(
% 1.68/0.75 sP35_prd<=>(sP37_prd|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e22,e21)=e21)&op2(e21,e22)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f577,f595])).
% 1.68/0.75 fof(f597,plain,(
% 1.68/0.75 (~sP35_prd|(sP37_prd|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e22,e21)=e21)&op2(e21,e22)=e21)))&(sP35_prd|(~sP37_prd&(((~op2(e23,e21)=e23|~op2(e21,e23)=e23)|~op2(e22,e21)=e21)|~op2(e21,e22)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f596])).
% 1.68/0.75 fof(f602,plain,(
% 1.68/0.75 sP35_prd|~sP37_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f597])).
% 1.68/0.75 fof(f604,definition,(
% 1.68/0.75 sP38_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e13,e11)=e13&op1(e11,e13)=e13)&op1(e10,e11)=e11)&op1(e11,e10)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP38_prd])],[])).
% 1.68/0.75 fof(f613,definition,(
% 1.68/0.75 sP39_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP39_prd])],[])).
% 1.68/0.75 fof(f614,plain,(
% 1.68/0.75 sP37_prd<=>(sP39_prd|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e21,e21)=e21)&op2(e21,e21)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f595,f613])).
% 1.68/0.75 fof(f615,plain,(
% 1.68/0.75 (~sP37_prd|(sP39_prd|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e21,e21)=e21)&op2(e21,e21)=e21)))&(sP37_prd|(~sP39_prd&(((~op2(e23,e21)=e23|~op2(e21,e23)=e23)|~op2(e21,e21)=e21)|~op2(e21,e21)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f614])).
% 1.68/0.75 fof(f620,plain,(
% 1.68/0.75 sP37_prd|~sP39_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f615])).
% 1.68/0.75 fof(f622,definition,(
% 1.68/0.75 sP40_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e13,e10)=e10)&op1(e10,e13)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP40_prd])],[])).
% 1.68/0.75 fof(f631,definition,(
% 1.68/0.75 sP41_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP41_prd])],[])).
% 1.68/0.75 fof(f632,plain,(
% 1.68/0.75 sP39_prd<=>(sP41_prd|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f613,f631])).
% 1.68/0.75 fof(f633,plain,(
% 1.68/0.75 (~sP39_prd|(sP41_prd|(((op2(e23,e21)=e23&op2(e21,e23)=e23)&op2(e20,e21)=e21)&op2(e21,e20)=e21)))&(sP39_prd|(~sP41_prd&(((~op2(e23,e21)=e23|~op2(e21,e23)=e23)|~op2(e20,e21)=e21)|~op2(e21,e20)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f632])).
% 1.68/0.75 fof(f638,plain,(
% 1.68/0.75 sP39_prd|~sP41_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f633])).
% 1.68/0.75 fof(f640,definition,(
% 1.68/0.75 sP42_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e12,e10)=e10)&op1(e10,e12)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP42_prd])],[])).
% 1.68/0.75 fof(f649,definition,(
% 1.68/0.75 sP43_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP43_prd])],[])).
% 1.68/0.75 fof(f650,plain,(
% 1.68/0.75 sP41_prd<=>(sP43_prd|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f631,f649])).
% 1.68/0.75 fof(f651,plain,(
% 1.68/0.75 (~sP41_prd|(sP43_prd|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e23,e20)=e20)&op2(e20,e23)=e20)))&(sP41_prd|(~sP43_prd&(((~op2(e23,e20)=e23|~op2(e20,e23)=e23)|~op2(e23,e20)=e20)|~op2(e20,e23)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f650])).
% 1.68/0.75 fof(f656,plain,(
% 1.68/0.75 sP41_prd|~sP43_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f651])).
% 1.68/0.75 fof(f658,definition,(
% 1.68/0.75 sP44_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e11,e10)=e10)&op1(e10,e11)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP44_prd])],[])).
% 1.68/0.75 fof(f667,definition,(
% 1.68/0.75 sP45_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP45_prd])],[])).
% 1.68/0.75 fof(f668,plain,(
% 1.68/0.75 sP43_prd<=>(sP45_prd|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f649,f667])).
% 1.68/0.75 fof(f669,plain,(
% 1.68/0.75 (~sP43_prd|(sP45_prd|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e22,e20)=e20)&op2(e20,e22)=e20)))&(sP43_prd|(~sP45_prd&(((~op2(e23,e20)=e23|~op2(e20,e23)=e23)|~op2(e22,e20)=e20)|~op2(e20,e22)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f668])).
% 1.68/0.75 fof(f674,plain,(
% 1.68/0.75 sP43_prd|~sP45_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f669])).
% 1.68/0.75 fof(f676,definition,(
% 1.68/0.75 sP46_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e13,e10)=e13&op1(e10,e13)=e13)&op1(e10,e10)=e10)&op1(e10,e10)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP46_prd])],[])).
% 1.68/0.75 fof(f685,definition,(
% 1.68/0.75 sP47_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP47_prd])],[])).
% 1.68/0.75 fof(f686,plain,(
% 1.68/0.75 sP45_prd<=>(sP47_prd|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f667,f685])).
% 1.68/0.75 fof(f687,plain,(
% 1.68/0.75 (~sP45_prd|(sP47_prd|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e21,e20)=e20)&op2(e20,e21)=e20)))&(sP45_prd|(~sP47_prd&(((~op2(e23,e20)=e23|~op2(e20,e23)=e23)|~op2(e21,e20)=e20)|~op2(e20,e21)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f686])).
% 1.68/0.75 fof(f692,plain,(
% 1.68/0.75 sP45_prd|~sP47_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f687])).
% 1.68/0.75 fof(f694,definition,(
% 1.68/0.75 sP48_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e13,e13)=e13)&op1(e13,e13)=e13))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP48_prd])],[])).
% 1.68/0.75 fof(f703,definition,(
% 1.68/0.75 sP49_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP49_prd])],[])).
% 1.68/0.75 fof(f704,plain,(
% 1.68/0.75 sP47_prd<=>(sP49_prd|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f685,f703])).
% 1.68/0.75 fof(f705,plain,(
% 1.68/0.75 (~sP47_prd|(sP49_prd|(((op2(e23,e20)=e23&op2(e20,e23)=e23)&op2(e20,e20)=e20)&op2(e20,e20)=e20)))&(sP47_prd|(~sP49_prd&(((~op2(e23,e20)=e23|~op2(e20,e23)=e23)|~op2(e20,e20)=e20)|~op2(e20,e20)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f704])).
% 1.68/0.75 fof(f710,plain,(
% 1.68/0.75 sP47_prd|~sP49_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f705])).
% 1.68/0.75 fof(f712,definition,(
% 1.68/0.75 sP50_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e12,e13)=e13)&op1(e13,e12)=e13))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP50_prd])],[])).
% 1.68/0.75 fof(f721,definition,(
% 1.68/0.75 sP51_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP51_prd])],[])).
% 1.68/0.75 fof(f722,plain,(
% 1.68/0.75 sP49_prd<=>(sP51_prd|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f703,f721])).
% 1.68/0.75 fof(f723,plain,(
% 1.68/0.75 (~sP49_prd|(sP51_prd|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e23,e23)=e23)&op2(e23,e23)=e23)))&(sP49_prd|(~sP51_prd&(((~op2(e22,e23)=e22|~op2(e23,e22)=e22)|~op2(e23,e23)=e23)|~op2(e23,e23)=e23)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f722])).
% 1.68/0.75 fof(f728,plain,(
% 1.68/0.75 sP49_prd|~sP51_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f723])).
% 1.68/0.75 fof(f730,definition,(
% 1.68/0.75 sP52_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e11,e13)=e13)&op1(e13,e11)=e13))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP52_prd])],[])).
% 1.68/0.75 fof(f739,definition,(
% 1.68/0.75 sP53_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP53_prd])],[])).
% 1.68/0.75 fof(f740,plain,(
% 1.68/0.75 sP51_prd<=>(sP53_prd|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f721,f739])).
% 1.68/0.75 fof(f741,plain,(
% 1.68/0.75 (~sP51_prd|(sP53_prd|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e22,e23)=e23)&op2(e23,e22)=e23)))&(sP51_prd|(~sP53_prd&(((~op2(e22,e23)=e22|~op2(e23,e22)=e22)|~op2(e22,e23)=e23)|~op2(e23,e22)=e23)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f740])).
% 1.68/0.75 fof(f746,plain,(
% 1.68/0.75 sP51_prd|~sP53_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f741])).
% 1.68/0.75 fof(f748,definition,(
% 1.68/0.75 sP54_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e12,e13)=e12&op1(e13,e12)=e12)&op1(e10,e13)=e13)&op1(e13,e10)=e13))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP54_prd])],[])).
% 1.68/0.75 fof(f757,definition,(
% 1.68/0.75 sP55_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP55_prd])],[])).
% 1.68/0.75 fof(f758,plain,(
% 1.68/0.75 sP53_prd<=>(sP55_prd|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f739,f757])).
% 1.68/0.75 fof(f759,plain,(
% 1.68/0.75 (~sP53_prd|(sP55_prd|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e21,e23)=e23)&op2(e23,e21)=e23)))&(sP53_prd|(~sP55_prd&(((~op2(e22,e23)=e22|~op2(e23,e22)=e22)|~op2(e21,e23)=e23)|~op2(e23,e21)=e23)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f758])).
% 1.68/0.75 fof(f764,plain,(
% 1.68/0.75 sP53_prd|~sP55_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f759])).
% 1.68/0.75 fof(f766,definition,(
% 1.68/0.75 sP56_prd<=>((((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e13,e12)=e12)&op1(e12,e13)=e12))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP56_prd])],[])).
% 1.68/0.75 fof(f775,definition,(
% 1.68/0.75 sP57_prd<=>((((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP57_prd])],[])).
% 1.68/0.75 fof(f776,plain,(
% 1.68/0.75 sP55_prd<=>(sP57_prd|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f757,f775])).
% 1.68/0.75 fof(f777,plain,(
% 1.68/0.75 (~sP55_prd|(sP57_prd|(((op2(e22,e23)=e22&op2(e23,e22)=e22)&op2(e20,e23)=e23)&op2(e23,e20)=e23)))&(sP55_prd|(~sP57_prd&(((~op2(e22,e23)=e22|~op2(e23,e22)=e22)|~op2(e20,e23)=e23)|~op2(e23,e20)=e23)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f776])).
% 1.68/0.75 fof(f782,plain,(
% 1.68/0.75 sP55_prd|~sP57_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f777])).
% 1.68/0.75 fof(f784,definition,(
% 1.68/0.75 sP58_prd<=>(((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e12,e12)=e12)&op1(e12,e12)=e12))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP58_prd])],[])).
% 1.68/0.75 fof(f793,definition,(
% 1.68/0.75 sP59_prd<=>(((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP59_prd])],[])).
% 1.68/0.75 fof(f794,plain,(
% 1.68/0.75 sP57_prd<=>(sP59_prd|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f775,f793])).
% 1.68/0.75 fof(f795,plain,(
% 1.68/0.75 (~sP57_prd|(sP59_prd|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e23,e22)=e22)&op2(e22,e23)=e22)))&(sP57_prd|(~sP59_prd&(((~op2(e22,e22)=e22|~op2(e22,e22)=e22)|~op2(e23,e22)=e22)|~op2(e22,e23)=e22)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f794])).
% 1.68/0.75 fof(f800,plain,(
% 1.68/0.75 sP57_prd|~sP59_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f795])).
% 1.68/0.75 fof(f802,definition,(
% 1.68/0.75 sP60_prd<=>((((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e11,e12)=e12)&op1(e12,e11)=e12))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP60_prd])],[])).
% 1.68/0.75 fof(f811,definition,(
% 1.68/0.75 sP61_prd<=>((((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP61_prd])],[])).
% 1.68/0.75 fof(f812,plain,(
% 1.68/0.75 sP59_prd<=>(sP61_prd|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f793,f811])).
% 1.68/0.75 fof(f813,plain,(
% 1.68/0.75 (~sP59_prd|(sP61_prd|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e22,e22)=e22)&op2(e22,e22)=e22)))&(sP59_prd|(~sP61_prd&(((~op2(e22,e22)=e22|~op2(e22,e22)=e22)|~op2(e22,e22)=e22)|~op2(e22,e22)=e22)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f812])).
% 1.68/0.75 fof(f818,plain,(
% 1.68/0.75 sP59_prd|~sP61_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f813])).
% 1.68/0.75 fof(f820,definition,(
% 1.68/0.75 sP62_prd<=>(((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e12,e12)=e12&op1(e12,e12)=e12)&op1(e10,e12)=e12)&op1(e12,e10)=e12))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP62_prd])],[])).
% 1.68/0.75 fof(f829,definition,(
% 1.68/0.75 sP63_prd<=>(((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP63_prd])],[])).
% 1.68/0.75 fof(f830,plain,(
% 1.68/0.75 sP61_prd<=>(sP63_prd|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f811,f829])).
% 1.68/0.75 fof(f831,plain,(
% 1.68/0.75 (~sP61_prd|(sP63_prd|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e21,e22)=e22)&op2(e22,e21)=e22)))&(sP61_prd|(~sP63_prd&(((~op2(e22,e22)=e22|~op2(e22,e22)=e22)|~op2(e21,e22)=e22)|~op2(e22,e21)=e22)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f830])).
% 1.68/0.75 fof(f836,plain,(
% 1.68/0.75 sP61_prd|~sP63_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f831])).
% 1.68/0.75 fof(f838,definition,(
% 1.68/0.75 sP64_prd<=>((((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e13,e11)=e11)&op1(e11,e13)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP64_prd])],[])).
% 1.68/0.75 fof(f847,definition,(
% 1.68/0.75 sP65_prd<=>((((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP65_prd])],[])).
% 1.68/0.75 fof(f848,plain,(
% 1.68/0.75 sP63_prd<=>(sP65_prd|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f829,f847])).
% 1.68/0.75 fof(f849,plain,(
% 1.68/0.75 (~sP63_prd|(sP65_prd|(((op2(e22,e22)=e22&op2(e22,e22)=e22)&op2(e20,e22)=e22)&op2(e22,e20)=e22)))&(sP63_prd|(~sP65_prd&(((~op2(e22,e22)=e22|~op2(e22,e22)=e22)|~op2(e20,e22)=e22)|~op2(e22,e20)=e22)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f848])).
% 1.68/0.75 fof(f854,plain,(
% 1.68/0.75 sP63_prd|~sP65_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f849])).
% 1.68/0.75 fof(f856,definition,(
% 1.68/0.75 sP66_prd<=>(((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e12,e11)=e11)&op1(e11,e12)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP66_prd])],[])).
% 1.68/0.75 fof(f865,definition,(
% 1.68/0.75 sP67_prd<=>(((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP67_prd])],[])).
% 1.68/0.75 fof(f866,plain,(
% 1.68/0.75 sP65_prd<=>(sP67_prd|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f847,f865])).
% 1.68/0.75 fof(f867,plain,(
% 1.68/0.75 (~sP65_prd|(sP67_prd|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e23,e21)=e21)&op2(e21,e23)=e21)))&(sP65_prd|(~sP67_prd&(((~op2(e22,e21)=e22|~op2(e21,e22)=e22)|~op2(e23,e21)=e21)|~op2(e21,e23)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f866])).
% 1.68/0.75 fof(f872,plain,(
% 1.68/0.75 sP65_prd|~sP67_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f867])).
% 1.68/0.75 fof(f874,definition,(
% 1.68/0.75 sP68_prd<=>((((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e11,e11)=e11)&op1(e11,e11)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP68_prd])],[])).
% 1.68/0.75 fof(f883,definition,(
% 1.68/0.75 sP69_prd<=>((((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP69_prd])],[])).
% 1.68/0.75 fof(f884,plain,(
% 1.68/0.75 sP67_prd<=>(sP69_prd|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f865,f883])).
% 1.68/0.75 fof(f885,plain,(
% 1.68/0.75 (~sP67_prd|(sP69_prd|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e22,e21)=e21)&op2(e21,e22)=e21)))&(sP67_prd|(~sP69_prd&(((~op2(e22,e21)=e22|~op2(e21,e22)=e22)|~op2(e22,e21)=e21)|~op2(e21,e22)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f884])).
% 1.68/0.75 fof(f890,plain,(
% 1.68/0.75 sP67_prd|~sP69_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f885])).
% 1.68/0.75 fof(f892,definition,(
% 1.68/0.75 sP70_prd<=>(((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e12,e11)=e12&op1(e11,e12)=e12)&op1(e10,e11)=e11)&op1(e11,e10)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP70_prd])],[])).
% 1.68/0.75 fof(f901,definition,(
% 1.68/0.75 sP71_prd<=>(((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP71_prd])],[])).
% 1.68/0.75 fof(f902,plain,(
% 1.68/0.75 sP69_prd<=>(sP71_prd|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f883,f901])).
% 1.68/0.75 fof(f903,plain,(
% 1.68/0.75 (~sP69_prd|(sP71_prd|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e21,e21)=e21)&op2(e21,e21)=e21)))&(sP69_prd|(~sP71_prd&(((~op2(e22,e21)=e22|~op2(e21,e22)=e22)|~op2(e21,e21)=e21)|~op2(e21,e21)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f902])).
% 1.68/0.75 fof(f908,plain,(
% 1.68/0.75 sP69_prd|~sP71_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f903])).
% 1.68/0.75 fof(f910,definition,(
% 1.68/0.75 sP72_prd<=>((((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e13,e10)=e10)&op1(e10,e13)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP72_prd])],[])).
% 1.68/0.75 fof(f919,definition,(
% 1.68/0.75 sP73_prd<=>((((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP73_prd])],[])).
% 1.68/0.75 fof(f920,plain,(
% 1.68/0.75 sP71_prd<=>(sP73_prd|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f901,f919])).
% 1.68/0.75 fof(f921,plain,(
% 1.68/0.75 (~sP71_prd|(sP73_prd|(((op2(e22,e21)=e22&op2(e21,e22)=e22)&op2(e20,e21)=e21)&op2(e21,e20)=e21)))&(sP71_prd|(~sP73_prd&(((~op2(e22,e21)=e22|~op2(e21,e22)=e22)|~op2(e20,e21)=e21)|~op2(e21,e20)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f920])).
% 1.68/0.75 fof(f926,plain,(
% 1.68/0.75 sP71_prd|~sP73_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f921])).
% 1.68/0.75 fof(f928,definition,(
% 1.68/0.75 sP74_prd<=>(((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e12,e10)=e10)&op1(e10,e12)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP74_prd])],[])).
% 1.68/0.75 fof(f937,definition,(
% 1.68/0.75 sP75_prd<=>(((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP75_prd])],[])).
% 1.68/0.75 fof(f938,plain,(
% 1.68/0.75 sP73_prd<=>(sP75_prd|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f919,f937])).
% 1.68/0.75 fof(f939,plain,(
% 1.68/0.75 (~sP73_prd|(sP75_prd|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e23,e20)=e20)&op2(e20,e23)=e20)))&(sP73_prd|(~sP75_prd&(((~op2(e22,e20)=e22|~op2(e20,e22)=e22)|~op2(e23,e20)=e20)|~op2(e20,e23)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f938])).
% 1.68/0.75 fof(f944,plain,(
% 1.68/0.75 sP73_prd|~sP75_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f939])).
% 1.68/0.75 fof(f946,definition,(
% 1.68/0.75 sP76_prd<=>((((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e11,e10)=e10)&op1(e10,e11)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP76_prd])],[])).
% 1.68/0.75 fof(f955,definition,(
% 1.68/0.75 sP77_prd<=>((((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP77_prd])],[])).
% 1.68/0.75 fof(f956,plain,(
% 1.68/0.75 sP75_prd<=>(sP77_prd|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f937,f955])).
% 1.68/0.75 fof(f957,plain,(
% 1.68/0.75 (~sP75_prd|(sP77_prd|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e22,e20)=e20)&op2(e20,e22)=e20)))&(sP75_prd|(~sP77_prd&(((~op2(e22,e20)=e22|~op2(e20,e22)=e22)|~op2(e22,e20)=e20)|~op2(e20,e22)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f956])).
% 1.68/0.75 fof(f962,plain,(
% 1.68/0.75 sP75_prd|~sP77_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f957])).
% 1.68/0.75 fof(f964,definition,(
% 1.68/0.75 sP78_prd<=>(((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e12,e10)=e12&op1(e10,e12)=e12)&op1(e10,e10)=e10)&op1(e10,e10)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP78_prd])],[])).
% 1.68/0.75 fof(f973,definition,(
% 1.68/0.75 sP79_prd<=>(((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP79_prd])],[])).
% 1.68/0.75 fof(f974,plain,(
% 1.68/0.75 sP77_prd<=>(sP79_prd|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f955,f973])).
% 1.68/0.75 fof(f975,plain,(
% 1.68/0.75 (~sP77_prd|(sP79_prd|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e21,e20)=e20)&op2(e20,e21)=e20)))&(sP77_prd|(~sP79_prd&(((~op2(e22,e20)=e22|~op2(e20,e22)=e22)|~op2(e21,e20)=e20)|~op2(e20,e21)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f974])).
% 1.68/0.75 fof(f980,plain,(
% 1.68/0.75 sP77_prd|~sP79_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f975])).
% 1.68/0.75 fof(f982,definition,(
% 1.68/0.75 sP80_prd<=>((((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e13,e13)=e13)&op1(e13,e13)=e13))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP80_prd])],[])).
% 1.68/0.75 fof(f991,definition,(
% 1.68/0.75 sP81_prd<=>((((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP81_prd])],[])).
% 1.68/0.75 fof(f992,plain,(
% 1.68/0.75 sP79_prd<=>(sP81_prd|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f973,f991])).
% 1.68/0.75 fof(f993,plain,(
% 1.68/0.75 (~sP79_prd|(sP81_prd|(((op2(e22,e20)=e22&op2(e20,e22)=e22)&op2(e20,e20)=e20)&op2(e20,e20)=e20)))&(sP79_prd|(~sP81_prd&(((~op2(e22,e20)=e22|~op2(e20,e22)=e22)|~op2(e20,e20)=e20)|~op2(e20,e20)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f992])).
% 1.68/0.75 fof(f998,plain,(
% 1.68/0.75 sP79_prd|~sP81_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f993])).
% 1.68/0.75 fof(f1000,definition,(
% 1.68/0.75 sP82_prd<=>(((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e12,e13)=e13)&op1(e13,e12)=e13))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP82_prd])],[])).
% 1.68/0.75 fof(f1009,definition,(
% 1.68/0.75 sP83_prd<=>(((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP83_prd])],[])).
% 1.68/0.75 fof(f1010,plain,(
% 1.68/0.75 sP81_prd<=>(sP83_prd|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f991,f1009])).
% 1.68/0.75 fof(f1011,plain,(
% 1.68/0.75 (~sP81_prd|(sP83_prd|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e23,e23)=e23)&op2(e23,e23)=e23)))&(sP81_prd|(~sP83_prd&(((~op2(e21,e23)=e21|~op2(e23,e21)=e21)|~op2(e23,e23)=e23)|~op2(e23,e23)=e23)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1010])).
% 1.68/0.75 fof(f1016,plain,(
% 1.68/0.75 sP81_prd|~sP83_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1011])).
% 1.68/0.75 fof(f1018,definition,(
% 1.68/0.75 sP84_prd<=>((((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e11,e13)=e13)&op1(e13,e11)=e13))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP84_prd])],[])).
% 1.68/0.75 fof(f1027,definition,(
% 1.68/0.75 sP85_prd<=>((((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP85_prd])],[])).
% 1.68/0.75 fof(f1028,plain,(
% 1.68/0.75 sP83_prd<=>(sP85_prd|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1009,f1027])).
% 1.68/0.75 fof(f1029,plain,(
% 1.68/0.75 (~sP83_prd|(sP85_prd|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e22,e23)=e23)&op2(e23,e22)=e23)))&(sP83_prd|(~sP85_prd&(((~op2(e21,e23)=e21|~op2(e23,e21)=e21)|~op2(e22,e23)=e23)|~op2(e23,e22)=e23)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1028])).
% 1.68/0.75 fof(f1034,plain,(
% 1.68/0.75 sP83_prd|~sP85_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1029])).
% 1.68/0.75 fof(f1036,definition,(
% 1.68/0.75 sP86_prd<=>(((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e11,e13)=e11&op1(e13,e11)=e11)&op1(e10,e13)=e13)&op1(e13,e10)=e13))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP86_prd])],[])).
% 1.68/0.75 fof(f1045,definition,(
% 1.68/0.75 sP87_prd<=>(((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP87_prd])],[])).
% 1.68/0.75 fof(f1046,plain,(
% 1.68/0.75 sP85_prd<=>(sP87_prd|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1027,f1045])).
% 1.68/0.75 fof(f1047,plain,(
% 1.68/0.75 (~sP85_prd|(sP87_prd|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e21,e23)=e23)&op2(e23,e21)=e23)))&(sP85_prd|(~sP87_prd&(((~op2(e21,e23)=e21|~op2(e23,e21)=e21)|~op2(e21,e23)=e23)|~op2(e23,e21)=e23)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1046])).
% 1.68/0.75 fof(f1052,plain,(
% 1.68/0.75 sP85_prd|~sP87_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1047])).
% 1.68/0.75 fof(f1054,definition,(
% 1.68/0.75 sP88_prd<=>((((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e13,e12)=e12)&op1(e12,e13)=e12))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP88_prd])],[])).
% 1.68/0.75 fof(f1063,definition,(
% 1.68/0.75 sP89_prd<=>((((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP89_prd])],[])).
% 1.68/0.75 fof(f1064,plain,(
% 1.68/0.75 sP87_prd<=>(sP89_prd|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1045,f1063])).
% 1.68/0.75 fof(f1065,plain,(
% 1.68/0.75 (~sP87_prd|(sP89_prd|(((op2(e21,e23)=e21&op2(e23,e21)=e21)&op2(e20,e23)=e23)&op2(e23,e20)=e23)))&(sP87_prd|(~sP89_prd&(((~op2(e21,e23)=e21|~op2(e23,e21)=e21)|~op2(e20,e23)=e23)|~op2(e23,e20)=e23)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1064])).
% 1.68/0.75 fof(f1070,plain,(
% 1.68/0.75 sP87_prd|~sP89_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1065])).
% 1.68/0.75 fof(f1072,definition,(
% 1.68/0.75 sP90_prd<=>(((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e12,e12)=e12)&op1(e12,e12)=e12))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP90_prd])],[])).
% 1.68/0.75 fof(f1081,definition,(
% 1.68/0.75 sP91_prd<=>(((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP91_prd])],[])).
% 1.68/0.75 fof(f1082,plain,(
% 1.68/0.75 sP89_prd<=>(sP91_prd|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1063,f1081])).
% 1.68/0.75 fof(f1083,plain,(
% 1.68/0.75 (~sP89_prd|(sP91_prd|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e23,e22)=e22)&op2(e22,e23)=e22)))&(sP89_prd|(~sP91_prd&(((~op2(e21,e22)=e21|~op2(e22,e21)=e21)|~op2(e23,e22)=e22)|~op2(e22,e23)=e22)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1082])).
% 1.68/0.75 fof(f1088,plain,(
% 1.68/0.75 sP89_prd|~sP91_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1083])).
% 1.68/0.75 fof(f1090,definition,(
% 1.68/0.75 sP92_prd<=>((((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e11,e12)=e12)&op1(e12,e11)=e12))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP92_prd])],[])).
% 1.68/0.75 fof(f1099,definition,(
% 1.68/0.75 sP93_prd<=>((((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP93_prd])],[])).
% 1.68/0.75 fof(f1100,plain,(
% 1.68/0.75 sP91_prd<=>(sP93_prd|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1081,f1099])).
% 1.68/0.75 fof(f1101,plain,(
% 1.68/0.75 (~sP91_prd|(sP93_prd|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e22,e22)=e22)&op2(e22,e22)=e22)))&(sP91_prd|(~sP93_prd&(((~op2(e21,e22)=e21|~op2(e22,e21)=e21)|~op2(e22,e22)=e22)|~op2(e22,e22)=e22)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1100])).
% 1.68/0.75 fof(f1106,plain,(
% 1.68/0.75 sP91_prd|~sP93_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1101])).
% 1.68/0.75 fof(f1108,definition,(
% 1.68/0.75 sP94_prd<=>(((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e11,e12)=e11&op1(e12,e11)=e11)&op1(e10,e12)=e12)&op1(e12,e10)=e12))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP94_prd])],[])).
% 1.68/0.75 fof(f1117,definition,(
% 1.68/0.75 sP95_prd<=>(((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP95_prd])],[])).
% 1.68/0.75 fof(f1118,plain,(
% 1.68/0.75 sP93_prd<=>(sP95_prd|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1099,f1117])).
% 1.68/0.75 fof(f1119,plain,(
% 1.68/0.75 (~sP93_prd|(sP95_prd|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e21,e22)=e22)&op2(e22,e21)=e22)))&(sP93_prd|(~sP95_prd&(((~op2(e21,e22)=e21|~op2(e22,e21)=e21)|~op2(e21,e22)=e22)|~op2(e22,e21)=e22)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1118])).
% 1.68/0.75 fof(f1124,plain,(
% 1.68/0.75 sP93_prd|~sP95_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1119])).
% 1.68/0.75 fof(f1126,definition,(
% 1.68/0.75 sP96_prd<=>((((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e13,e11)=e11)&op1(e11,e13)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP96_prd])],[])).
% 1.68/0.75 fof(f1135,definition,(
% 1.68/0.75 sP97_prd<=>((((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP97_prd])],[])).
% 1.68/0.75 fof(f1136,plain,(
% 1.68/0.75 sP95_prd<=>(sP97_prd|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1117,f1135])).
% 1.68/0.75 fof(f1137,plain,(
% 1.68/0.75 (~sP95_prd|(sP97_prd|(((op2(e21,e22)=e21&op2(e22,e21)=e21)&op2(e20,e22)=e22)&op2(e22,e20)=e22)))&(sP95_prd|(~sP97_prd&(((~op2(e21,e22)=e21|~op2(e22,e21)=e21)|~op2(e20,e22)=e22)|~op2(e22,e20)=e22)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1136])).
% 1.68/0.75 fof(f1142,plain,(
% 1.68/0.75 sP95_prd|~sP97_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1137])).
% 1.68/0.75 fof(f1144,definition,(
% 1.68/0.75 sP98_prd<=>(((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e12,e11)=e11)&op1(e11,e12)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP98_prd])],[])).
% 1.68/0.75 fof(f1153,definition,(
% 1.68/0.75 sP99_prd<=>(((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP99_prd])],[])).
% 1.68/0.75 fof(f1154,plain,(
% 1.68/0.75 sP97_prd<=>(sP99_prd|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1135,f1153])).
% 1.68/0.75 fof(f1155,plain,(
% 1.68/0.75 (~sP97_prd|(sP99_prd|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e23,e21)=e21)&op2(e21,e23)=e21)))&(sP97_prd|(~sP99_prd&(((~op2(e21,e21)=e21|~op2(e21,e21)=e21)|~op2(e23,e21)=e21)|~op2(e21,e23)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1154])).
% 1.68/0.75 fof(f1160,plain,(
% 1.68/0.75 sP97_prd|~sP99_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1155])).
% 1.68/0.75 fof(f1162,definition,(
% 1.68/0.75 sP100_prd<=>((((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e11,e11)=e11)&op1(e11,e11)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP100_prd])],[])).
% 1.68/0.75 fof(f1171,definition,(
% 1.68/0.75 sP101_prd<=>((((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP101_prd])],[])).
% 1.68/0.75 fof(f1172,plain,(
% 1.68/0.75 sP99_prd<=>(sP101_prd|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1153,f1171])).
% 1.68/0.75 fof(f1173,plain,(
% 1.68/0.75 (~sP99_prd|(sP101_prd|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e22,e21)=e21)&op2(e21,e22)=e21)))&(sP99_prd|(~sP101_prd&(((~op2(e21,e21)=e21|~op2(e21,e21)=e21)|~op2(e22,e21)=e21)|~op2(e21,e22)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1172])).
% 1.68/0.75 fof(f1178,plain,(
% 1.68/0.75 sP99_prd|~sP101_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1173])).
% 1.68/0.75 fof(f1180,definition,(
% 1.68/0.75 sP102_prd<=>(((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e11,e11)=e11&op1(e11,e11)=e11)&op1(e10,e11)=e11)&op1(e11,e10)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP102_prd])],[])).
% 1.68/0.75 fof(f1189,definition,(
% 1.68/0.75 sP103_prd<=>(((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP103_prd])],[])).
% 1.68/0.75 fof(f1190,plain,(
% 1.68/0.75 sP101_prd<=>(sP103_prd|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1171,f1189])).
% 1.68/0.75 fof(f1191,plain,(
% 1.68/0.75 (~sP101_prd|(sP103_prd|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e21,e21)=e21)&op2(e21,e21)=e21)))&(sP101_prd|(~sP103_prd&(((~op2(e21,e21)=e21|~op2(e21,e21)=e21)|~op2(e21,e21)=e21)|~op2(e21,e21)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1190])).
% 1.68/0.75 fof(f1196,plain,(
% 1.68/0.75 sP101_prd|~sP103_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1191])).
% 1.68/0.75 fof(f1198,definition,(
% 1.68/0.75 sP104_prd<=>((((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e13,e10)=e10)&op1(e10,e13)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP104_prd])],[])).
% 1.68/0.75 fof(f1207,definition,(
% 1.68/0.75 sP105_prd<=>((((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP105_prd])],[])).
% 1.68/0.75 fof(f1208,plain,(
% 1.68/0.75 sP103_prd<=>(sP105_prd|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1189,f1207])).
% 1.68/0.75 fof(f1209,plain,(
% 1.68/0.75 (~sP103_prd|(sP105_prd|(((op2(e21,e21)=e21&op2(e21,e21)=e21)&op2(e20,e21)=e21)&op2(e21,e20)=e21)))&(sP103_prd|(~sP105_prd&(((~op2(e21,e21)=e21|~op2(e21,e21)=e21)|~op2(e20,e21)=e21)|~op2(e21,e20)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1208])).
% 1.68/0.75 fof(f1214,plain,(
% 1.68/0.75 sP103_prd|~sP105_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1209])).
% 1.68/0.75 fof(f1216,definition,(
% 1.68/0.75 sP106_prd<=>(((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e12,e10)=e10)&op1(e10,e12)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP106_prd])],[])).
% 1.68/0.75 fof(f1225,definition,(
% 1.68/0.75 sP107_prd<=>(((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP107_prd])],[])).
% 1.68/0.75 fof(f1226,plain,(
% 1.68/0.75 sP105_prd<=>(sP107_prd|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1207,f1225])).
% 1.68/0.75 fof(f1227,plain,(
% 1.68/0.75 (~sP105_prd|(sP107_prd|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e23,e20)=e20)&op2(e20,e23)=e20)))&(sP105_prd|(~sP107_prd&(((~op2(e21,e20)=e21|~op2(e20,e21)=e21)|~op2(e23,e20)=e20)|~op2(e20,e23)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1226])).
% 1.68/0.75 fof(f1232,plain,(
% 1.68/0.75 sP105_prd|~sP107_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1227])).
% 1.68/0.75 fof(f1234,definition,(
% 1.68/0.75 sP108_prd<=>((((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e11,e10)=e10)&op1(e10,e11)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP108_prd])],[])).
% 1.68/0.75 fof(f1243,definition,(
% 1.68/0.75 sP109_prd<=>((((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP109_prd])],[])).
% 1.68/0.75 fof(f1244,plain,(
% 1.68/0.75 sP107_prd<=>(sP109_prd|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1225,f1243])).
% 1.68/0.75 fof(f1245,plain,(
% 1.68/0.75 (~sP107_prd|(sP109_prd|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e22,e20)=e20)&op2(e20,e22)=e20)))&(sP107_prd|(~sP109_prd&(((~op2(e21,e20)=e21|~op2(e20,e21)=e21)|~op2(e22,e20)=e20)|~op2(e20,e22)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1244])).
% 1.68/0.75 fof(f1250,plain,(
% 1.68/0.75 sP107_prd|~sP109_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1245])).
% 1.68/0.75 fof(f1252,definition,(
% 1.68/0.75 sP110_prd<=>(((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))|(((op1(e11,e10)=e11&op1(e10,e11)=e11)&op1(e10,e10)=e10)&op1(e10,e10)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP110_prd])],[])).
% 1.68/0.75 fof(f1261,definition,(
% 1.68/0.75 sP111_prd<=>(((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP111_prd])],[])).
% 1.68/0.75 fof(f1262,plain,(
% 1.68/0.75 sP109_prd<=>(sP111_prd|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1243,f1261])).
% 1.68/0.75 fof(f1263,plain,(
% 1.68/0.75 (~sP109_prd|(sP111_prd|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e21,e20)=e20)&op2(e20,e21)=e20)))&(sP109_prd|(~sP111_prd&(((~op2(e21,e20)=e21|~op2(e20,e21)=e21)|~op2(e21,e20)=e20)|~op2(e20,e21)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1262])).
% 1.68/0.75 fof(f1268,plain,(
% 1.68/0.75 sP109_prd|~sP111_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1263])).
% 1.68/0.75 fof(f1270,definition,(
% 1.68/0.75 sP112_prd<=>((((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e13,e13)=e13)&op1(e13,e13)=e13))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP112_prd])],[])).
% 1.68/0.75 fof(f1279,definition,(
% 1.68/0.75 sP113_prd<=>((((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP113_prd])],[])).
% 1.68/0.75 fof(f1280,plain,(
% 1.68/0.75 sP111_prd<=>(sP113_prd|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1261,f1279])).
% 1.68/0.75 fof(f1281,plain,(
% 1.68/0.75 (~sP111_prd|(sP113_prd|(((op2(e21,e20)=e21&op2(e20,e21)=e21)&op2(e20,e20)=e20)&op2(e20,e20)=e20)))&(sP111_prd|(~sP113_prd&(((~op2(e21,e20)=e21|~op2(e20,e21)=e21)|~op2(e20,e20)=e20)|~op2(e20,e20)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1280])).
% 1.68/0.75 fof(f1286,plain,(
% 1.68/0.75 sP111_prd|~sP113_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1281])).
% 1.68/0.75 fof(f1288,definition,(
% 1.68/0.75 sP114_prd<=>(((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e12,e13)=e13)&op1(e13,e12)=e13))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP114_prd])],[])).
% 1.68/0.75 fof(f1297,definition,(
% 1.68/0.75 sP115_prd<=>(((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP115_prd])],[])).
% 1.68/0.75 fof(f1298,plain,(
% 1.68/0.75 sP113_prd<=>(sP115_prd|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1279,f1297])).
% 1.68/0.75 fof(f1299,plain,(
% 1.68/0.75 (~sP113_prd|(sP115_prd|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e23,e23)=e23)&op2(e23,e23)=e23)))&(sP113_prd|(~sP115_prd&(((~op2(e20,e23)=e20|~op2(e23,e20)=e20)|~op2(e23,e23)=e23)|~op2(e23,e23)=e23)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1298])).
% 1.68/0.75 fof(f1304,plain,(
% 1.68/0.75 sP113_prd|~sP115_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1299])).
% 1.68/0.75 fof(f1306,definition,(
% 1.68/0.75 sP116_prd<=>((((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e11,e13)=e13)&op1(e13,e11)=e13))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP116_prd])],[])).
% 1.68/0.75 fof(f1315,definition,(
% 1.68/0.75 sP117_prd<=>((((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP117_prd])],[])).
% 1.68/0.75 fof(f1316,plain,(
% 1.68/0.75 sP115_prd<=>(sP117_prd|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1297,f1315])).
% 1.68/0.75 fof(f1317,plain,(
% 1.68/0.75 (~sP115_prd|(sP117_prd|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e22,e23)=e23)&op2(e23,e22)=e23)))&(sP115_prd|(~sP117_prd&(((~op2(e20,e23)=e20|~op2(e23,e20)=e20)|~op2(e22,e23)=e23)|~op2(e23,e22)=e23)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1316])).
% 1.68/0.75 fof(f1322,plain,(
% 1.68/0.75 sP115_prd|~sP117_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1317])).
% 1.68/0.75 fof(f1324,definition,(
% 1.68/0.75 sP118_prd<=>(((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))|(((op1(e10,e13)=e10&op1(e13,e10)=e10)&op1(e10,e13)=e13)&op1(e13,e10)=e13))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP118_prd])],[])).
% 1.68/0.75 fof(f1333,definition,(
% 1.68/0.75 sP119_prd<=>(((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP119_prd])],[])).
% 1.68/0.75 fof(f1334,plain,(
% 1.68/0.75 sP117_prd<=>(sP119_prd|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1315,f1333])).
% 1.68/0.75 fof(f1335,plain,(
% 1.68/0.75 (~sP117_prd|(sP119_prd|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e21,e23)=e23)&op2(e23,e21)=e23)))&(sP117_prd|(~sP119_prd&(((~op2(e20,e23)=e20|~op2(e23,e20)=e20)|~op2(e21,e23)=e23)|~op2(e23,e21)=e23)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1334])).
% 1.68/0.75 fof(f1340,plain,(
% 1.68/0.75 sP117_prd|~sP119_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1335])).
% 1.68/0.75 fof(f1342,definition,(
% 1.68/0.75 sP120_prd<=>((((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e13,e12)=e12)&op1(e12,e13)=e12))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP120_prd])],[])).
% 1.68/0.75 fof(f1351,definition,(
% 1.68/0.75 sP121_prd<=>((((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP121_prd])],[])).
% 1.68/0.75 fof(f1352,plain,(
% 1.68/0.75 sP119_prd<=>(sP121_prd|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1333,f1351])).
% 1.68/0.75 fof(f1353,plain,(
% 1.68/0.75 (~sP119_prd|(sP121_prd|(((op2(e20,e23)=e20&op2(e23,e20)=e20)&op2(e20,e23)=e23)&op2(e23,e20)=e23)))&(sP119_prd|(~sP121_prd&(((~op2(e20,e23)=e20|~op2(e23,e20)=e20)|~op2(e20,e23)=e23)|~op2(e23,e20)=e23)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1352])).
% 1.68/0.75 fof(f1358,plain,(
% 1.68/0.75 sP119_prd|~sP121_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1353])).
% 1.68/0.75 fof(f1360,definition,(
% 1.68/0.75 sP122_prd<=>(((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e12,e12)=e12)&op1(e12,e12)=e12))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP122_prd])],[])).
% 1.68/0.75 fof(f1369,definition,(
% 1.68/0.75 sP123_prd<=>(((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP123_prd])],[])).
% 1.68/0.75 fof(f1370,plain,(
% 1.68/0.75 sP121_prd<=>(sP123_prd|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1351,f1369])).
% 1.68/0.75 fof(f1371,plain,(
% 1.68/0.75 (~sP121_prd|(sP123_prd|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e23,e22)=e22)&op2(e22,e23)=e22)))&(sP121_prd|(~sP123_prd&(((~op2(e20,e22)=e20|~op2(e22,e20)=e20)|~op2(e23,e22)=e22)|~op2(e22,e23)=e22)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1370])).
% 1.68/0.75 fof(f1376,plain,(
% 1.68/0.75 sP121_prd|~sP123_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1371])).
% 1.68/0.75 fof(f1378,definition,(
% 1.68/0.75 sP124_prd<=>((((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e11,e12)=e12)&op1(e12,e11)=e12))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP124_prd])],[])).
% 1.68/0.75 fof(f1387,definition,(
% 1.68/0.75 sP125_prd<=>((((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP125_prd])],[])).
% 1.68/0.75 fof(f1388,plain,(
% 1.68/0.75 sP123_prd<=>(sP125_prd|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1369,f1387])).
% 1.68/0.75 fof(f1389,plain,(
% 1.68/0.75 (~sP123_prd|(sP125_prd|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e22,e22)=e22)&op2(e22,e22)=e22)))&(sP123_prd|(~sP125_prd&(((~op2(e20,e22)=e20|~op2(e22,e20)=e20)|~op2(e22,e22)=e22)|~op2(e22,e22)=e22)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1388])).
% 1.68/0.75 fof(f1394,plain,(
% 1.68/0.75 sP123_prd|~sP125_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1389])).
% 1.68/0.75 fof(f1396,definition,(
% 1.68/0.75 sP126_prd<=>(((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP126_prd])],[])).
% 1.68/0.75 fof(f1405,definition,(
% 1.68/0.75 sP127_prd<=>(((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP127_prd])],[])).
% 1.68/0.75 fof(f1406,plain,(
% 1.68/0.75 sP125_prd<=>(sP127_prd|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1387,f1405])).
% 1.68/0.75 fof(f1407,plain,(
% 1.68/0.75 (~sP125_prd|(sP127_prd|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e21,e22)=e22)&op2(e22,e21)=e22)))&(sP125_prd|(~sP127_prd&(((~op2(e20,e22)=e20|~op2(e22,e20)=e20)|~op2(e21,e22)=e22)|~op2(e22,e21)=e22)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1406])).
% 1.68/0.75 fof(f1412,plain,(
% 1.68/0.75 sP125_prd|~sP127_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1407])).
% 1.68/0.75 fof(f1414,definition,(
% 1.68/0.75 sP128_prd<=>((((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP128_prd])],[])).
% 1.68/0.75 fof(f1415,plain,(
% 1.68/0.75 sP126_prd<=>(sP128_prd|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1396,f1414])).
% 1.68/0.75 fof(f1416,plain,(
% 1.68/0.75 (~sP126_prd|(sP128_prd|(((op1(e10,e12)=e10&op1(e12,e10)=e10)&op1(e10,e12)=e12)&op1(e12,e10)=e12)))&(sP126_prd|(~sP128_prd&(((~op1(e10,e12)=e10|~op1(e12,e10)=e10)|~op1(e10,e12)=e12)|~op1(e12,e10)=e12)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1415])).
% 1.68/0.75 fof(f1420,plain,(
% 1.68/0.75 ~sP126_prd|sP128_prd|op1(e12,e10)=e12),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1416])).
% 1.68/0.75 fof(f1423,definition,(
% 1.68/0.75 sP129_prd<=>((((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP129_prd])],[])).
% 1.68/0.75 fof(f1424,plain,(
% 1.68/0.75 sP127_prd<=>(sP129_prd|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1405,f1423])).
% 1.68/0.75 fof(f1425,plain,(
% 1.68/0.75 (~sP127_prd|(sP129_prd|(((op2(e20,e22)=e20&op2(e22,e20)=e20)&op2(e20,e22)=e22)&op2(e22,e20)=e22)))&(sP127_prd|(~sP129_prd&(((~op2(e20,e22)=e20|~op2(e22,e20)=e20)|~op2(e20,e22)=e22)|~op2(e22,e20)=e22)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1424])).
% 1.68/0.75 fof(f1430,plain,(
% 1.68/0.75 sP127_prd|~sP129_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1425])).
% 1.68/0.75 fof(f1432,definition,(
% 1.68/0.75 sP130_prd<=>(((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP130_prd])],[])).
% 1.68/0.75 fof(f1433,plain,(
% 1.68/0.75 sP128_prd<=>(sP130_prd|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1414,f1432])).
% 1.68/0.75 fof(f1434,plain,(
% 1.68/0.75 (~sP128_prd|(sP130_prd|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e13,e11)=e11)&op1(e11,e13)=e11)))&(sP128_prd|(~sP130_prd&(((~op1(e10,e11)=e10|~op1(e11,e10)=e10)|~op1(e13,e11)=e11)|~op1(e11,e13)=e11)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1433])).
% 1.68/0.75 fof(f1435,plain,(
% 1.68/0.75 ~sP128_prd|sP130_prd|op1(e10,e11)=e10),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1434])).
% 1.68/0.75 fof(f1441,definition,(
% 1.68/0.75 sP131_prd<=>(((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP131_prd])],[])).
% 1.68/0.75 fof(f1442,plain,(
% 1.68/0.75 sP129_prd<=>(sP131_prd|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1423,f1441])).
% 1.68/0.75 fof(f1443,plain,(
% 1.68/0.75 (~sP129_prd|(sP131_prd|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e23,e21)=e21)&op2(e21,e23)=e21)))&(sP129_prd|(~sP131_prd&(((~op2(e20,e21)=e20|~op2(e21,e20)=e20)|~op2(e23,e21)=e21)|~op2(e21,e23)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1442])).
% 1.68/0.75 fof(f1448,plain,(
% 1.68/0.75 sP129_prd|~sP131_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1443])).
% 1.68/0.75 fof(f1450,definition,(
% 1.68/0.75 sP132_prd<=>((((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP132_prd])],[])).
% 1.68/0.75 fof(f1451,plain,(
% 1.68/0.75 sP130_prd<=>(sP132_prd|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1432,f1450])).
% 1.68/0.75 fof(f1452,plain,(
% 1.68/0.75 (~sP130_prd|(sP132_prd|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e12,e11)=e11)&op1(e11,e12)=e11)))&(sP130_prd|(~sP132_prd&(((~op1(e10,e11)=e10|~op1(e11,e10)=e10)|~op1(e12,e11)=e11)|~op1(e11,e12)=e11)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1451])).
% 1.68/0.75 fof(f1453,plain,(
% 1.68/0.75 ~sP130_prd|sP132_prd|op1(e10,e11)=e10),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1452])).
% 1.68/0.75 fof(f1459,definition,(
% 1.68/0.75 sP133_prd<=>((((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP133_prd])],[])).
% 1.68/0.75 fof(f1460,plain,(
% 1.68/0.75 sP131_prd<=>(sP133_prd|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1441,f1459])).
% 1.68/0.75 fof(f1461,plain,(
% 1.68/0.75 (~sP131_prd|(sP133_prd|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e22,e21)=e21)&op2(e21,e22)=e21)))&(sP131_prd|(~sP133_prd&(((~op2(e20,e21)=e20|~op2(e21,e20)=e20)|~op2(e22,e21)=e21)|~op2(e21,e22)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1460])).
% 1.68/0.75 fof(f1466,plain,(
% 1.68/0.75 sP131_prd|~sP133_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1461])).
% 1.68/0.75 fof(f1468,definition,(
% 1.68/0.75 sP134_prd<=>(((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP134_prd])],[])).
% 1.68/0.75 fof(f1469,plain,(
% 1.68/0.75 sP132_prd<=>(sP134_prd|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1450,f1468])).
% 1.68/0.75 fof(f1470,plain,(
% 1.68/0.75 (~sP132_prd|(sP134_prd|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e11,e11)=e11)&op1(e11,e11)=e11)))&(sP132_prd|(~sP134_prd&(((~op1(e10,e11)=e10|~op1(e11,e10)=e10)|~op1(e11,e11)=e11)|~op1(e11,e11)=e11)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1469])).
% 1.68/0.75 fof(f1471,plain,(
% 1.68/0.75 ~sP132_prd|sP134_prd|op1(e10,e11)=e10),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1470])).
% 1.68/0.75 fof(f1477,definition,(
% 1.68/0.75 sP135_prd<=>(((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP135_prd])],[])).
% 1.68/0.75 fof(f1478,plain,(
% 1.68/0.75 sP133_prd<=>(sP135_prd|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1459,f1477])).
% 1.68/0.75 fof(f1479,plain,(
% 1.68/0.75 (~sP133_prd|(sP135_prd|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e21,e21)=e21)&op2(e21,e21)=e21)))&(sP133_prd|(~sP135_prd&(((~op2(e20,e21)=e20|~op2(e21,e20)=e20)|~op2(e21,e21)=e21)|~op2(e21,e21)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1478])).
% 1.68/0.75 fof(f1484,plain,(
% 1.68/0.75 sP133_prd|~sP135_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1479])).
% 1.68/0.75 fof(f1486,definition,(
% 1.68/0.75 sP136_prd<=>((((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP136_prd])],[])).
% 1.68/0.75 fof(f1487,plain,(
% 1.68/0.75 sP134_prd<=>(sP136_prd|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1468,f1486])).
% 1.68/0.75 fof(f1488,plain,(
% 1.68/0.75 (~sP134_prd|(sP136_prd|(((op1(e10,e11)=e10&op1(e11,e10)=e10)&op1(e10,e11)=e11)&op1(e11,e10)=e11)))&(sP134_prd|(~sP136_prd&(((~op1(e10,e11)=e10|~op1(e11,e10)=e10)|~op1(e10,e11)=e11)|~op1(e11,e10)=e11)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1487])).
% 1.68/0.75 fof(f1489,plain,(
% 1.68/0.75 ~sP134_prd|sP136_prd|op1(e10,e11)=e10),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1488])).
% 1.68/0.75 fof(f1495,definition,(
% 1.68/0.75 sP137_prd<=>((((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP137_prd])],[])).
% 1.68/0.75 fof(f1496,plain,(
% 1.68/0.75 sP135_prd<=>(sP137_prd|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1477,f1495])).
% 1.68/0.75 fof(f1497,plain,(
% 1.68/0.75 (~sP135_prd|(sP137_prd|(((op2(e20,e21)=e20&op2(e21,e20)=e20)&op2(e20,e21)=e21)&op2(e21,e20)=e21)))&(sP135_prd|(~sP137_prd&(((~op2(e20,e21)=e20|~op2(e21,e20)=e20)|~op2(e20,e21)=e21)|~op2(e21,e20)=e21)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1496])).
% 1.68/0.75 fof(f1502,plain,(
% 1.68/0.75 sP135_prd|~sP137_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1497])).
% 1.68/0.75 fof(f1504,definition,(
% 1.68/0.75 sP138_prd<=>(((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP138_prd])],[])).
% 1.68/0.75 fof(f1505,plain,(
% 1.68/0.75 sP136_prd<=>(sP138_prd|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1486,f1504])).
% 1.68/0.75 fof(f1506,plain,(
% 1.68/0.75 (~sP136_prd|(sP138_prd|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e13,e10)=e10)&op1(e10,e13)=e10)))&(sP136_prd|(~sP138_prd&(((~op1(e10,e10)=e10|~op1(e10,e10)=e10)|~op1(e13,e10)=e10)|~op1(e10,e13)=e10)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1505])).
% 1.68/0.75 fof(f1507,plain,(
% 1.68/0.75 ~sP136_prd|sP138_prd|op1(e10,e10)=e10),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1506])).
% 1.68/0.75 fof(f1513,definition,(
% 1.68/0.75 sP139_prd<=>(((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP139_prd])],[])).
% 1.68/0.75 fof(f1514,plain,(
% 1.68/0.75 sP137_prd<=>(sP139_prd|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1495,f1513])).
% 1.68/0.75 fof(f1515,plain,(
% 1.68/0.75 (~sP137_prd|(sP139_prd|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e23,e20)=e20)&op2(e20,e23)=e20)))&(sP137_prd|(~sP139_prd&(((~op2(e20,e20)=e20|~op2(e20,e20)=e20)|~op2(e23,e20)=e20)|~op2(e20,e23)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1514])).
% 1.68/0.75 fof(f1520,plain,(
% 1.68/0.75 sP137_prd|~sP139_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1515])).
% 1.68/0.75 fof(f1522,definition,(
% 1.68/0.75 sP140_prd<=>((((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP140_prd])],[])).
% 1.68/0.75 fof(f1523,plain,(
% 1.68/0.75 sP138_prd<=>(sP140_prd|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1504,f1522])).
% 1.68/0.75 fof(f1524,plain,(
% 1.68/0.75 (~sP138_prd|(sP140_prd|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e12,e10)=e10)&op1(e10,e12)=e10)))&(sP138_prd|(~sP140_prd&(((~op1(e10,e10)=e10|~op1(e10,e10)=e10)|~op1(e12,e10)=e10)|~op1(e10,e12)=e10)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1523])).
% 1.68/0.75 fof(f1525,plain,(
% 1.68/0.75 ~sP138_prd|sP140_prd|op1(e10,e10)=e10),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1524])).
% 1.68/0.75 fof(f1531,definition,(
% 1.68/0.75 sP141_prd<=>((((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP141_prd])],[])).
% 1.68/0.75 fof(f1532,plain,(
% 1.68/0.75 sP139_prd<=>(sP141_prd|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1513,f1531])).
% 1.68/0.75 fof(f1533,plain,(
% 1.68/0.75 (~sP139_prd|(sP141_prd|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e22,e20)=e20)&op2(e20,e22)=e20)))&(sP139_prd|(~sP141_prd&(((~op2(e20,e20)=e20|~op2(e20,e20)=e20)|~op2(e22,e20)=e20)|~op2(e20,e22)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1532])).
% 1.68/0.75 fof(f1538,plain,(
% 1.68/0.75 sP139_prd|~sP141_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1533])).
% 1.68/0.75 fof(f1540,definition,(
% 1.68/0.75 sP142_prd<=>(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP142_prd])],[])).
% 1.68/0.75 fof(f1541,plain,(
% 1.68/0.75 sP140_prd<=>(sP142_prd|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1522,f1540])).
% 1.68/0.75 fof(f1542,plain,(
% 1.68/0.75 (~sP140_prd|(sP142_prd|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e11,e10)=e10)&op1(e10,e11)=e10)))&(sP140_prd|(~sP142_prd&(((~op1(e10,e10)=e10|~op1(e10,e10)=e10)|~op1(e11,e10)=e10)|~op1(e10,e11)=e10)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1541])).
% 1.68/0.75 fof(f1543,plain,(
% 1.68/0.75 ~sP140_prd|sP142_prd|op1(e10,e10)=e10),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1542])).
% 1.68/0.75 fof(f1549,definition,(
% 1.68/0.75 sP143_prd<=>(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sP143_prd])],[])).
% 1.68/0.75 fof(f1550,plain,(
% 1.68/0.75 sP141_prd<=>(sP143_prd|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20))),
% 1.68/0.75 inference(formula_renaming,[status(thm)],[f1531,f1549])).
% 1.68/0.75 fof(f1551,plain,(
% 1.68/0.75 (~sP141_prd|(sP143_prd|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e21,e20)=e20)&op2(e20,e21)=e20)))&(sP141_prd|(~sP143_prd&(((~op2(e20,e20)=e20|~op2(e20,e20)=e20)|~op2(e21,e20)=e20)|~op2(e20,e21)=e20)))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1550])).
% 1.68/0.75 fof(f1556,plain,(
% 1.68/0.75 sP141_prd|~sP143_prd),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1551])).
% 1.68/0.75 fof(f1558,plain,(
% 1.68/0.75 (~sP142_prd|(((op1(e10,e10)=e10&op1(e10,e10)=e10)&op1(e10,e10)=e10)&op1(e10,e10)=e10))&(sP142_prd|(((~op1(e10,e10)=e10|~op1(e10,e10)=e10)|~op1(e10,e10)=e10)|~op1(e10,e10)=e10))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1540])).
% 1.68/0.75 fof(f1559,plain,(
% 1.68/0.75 ~sP142_prd|op1(e10,e10)=e10),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1558])).
% 1.68/0.75 fof(f1564,plain,(
% 1.68/0.75 (~sP143_prd|(((op2(e20,e20)=e20&op2(e20,e20)=e20)&op2(e20,e20)=e20)&op2(e20,e20)=e20))&(sP143_prd|(((~op2(e20,e20)=e20|~op2(e20,e20)=e20)|~op2(e20,e20)=e20)|~op2(e20,e20)=e20))),
% 1.68/0.75 inference(NNF_transformation,[status(thm)],[f1549])).
% 1.68/0.75 fof(f1569,plain,(
% 1.68/0.75 sP143_prd|~op2(e20,e20)=e20|~op2(e20,e20)=e20|~op2(e20,e20)=e20|~op2(e20,e20)=e20),
% 1.68/0.75 inference(cnf_transformation,[status(thm)],[f1564])).
% 1.68/0.75 fof(f1570,definition,(
% 1.68/0.75 sQ0_spl <=> (op1(e10,e10)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1571,plain,(
% 1.68/0.75 op1(e10,e10)=e10|~sQ0_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1570])).
% 1.68/0.75 fof(f1573,definition,(
% 1.68/0.75 sQ1_spl <=> (op1(e10,e10)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1574,plain,(
% 1.68/0.75 op1(e10,e10)=e11|~sQ1_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1573])).
% 1.68/0.75 fof(f1583,definition,(
% 1.68/0.75 sQ4_spl <=> (op1(e10,e11)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1584,plain,(
% 1.68/0.75 op1(e10,e11)=e10|~sQ4_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1583])).
% 1.68/0.75 fof(f1586,definition,(
% 1.68/0.75 sQ5_spl <=> (op1(e10,e11)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1587,plain,(
% 1.68/0.75 op1(e10,e11)=e11|~sQ5_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1586])).
% 1.68/0.75 fof(f1589,definition,(
% 1.68/0.75 sQ6_spl <=> (op1(e10,e11)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1590,plain,(
% 1.68/0.75 op1(e10,e11)=e12|~sQ6_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1589])).
% 1.68/0.75 fof(f1592,definition,(
% 1.68/0.75 sQ7_spl <=> (op1(e10,e11)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1595,plain,(
% 1.68/0.75 sQ4_spl|sQ5_spl|sQ6_spl|sQ7_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f21,f1583,f1586,f1589,f1592])).
% 1.68/0.75 fof(f1596,definition,(
% 1.68/0.75 sQ8_spl <=> (op1(e10,e12)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1597,plain,(
% 1.68/0.75 op1(e10,e12)=e10|~sQ8_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1596])).
% 1.68/0.75 fof(f1599,definition,(
% 1.68/0.75 sQ9_spl <=> (op1(e10,e12)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1600,plain,(
% 1.68/0.75 op1(e10,e12)=e11|~sQ9_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1599])).
% 1.68/0.75 fof(f1602,definition,(
% 1.68/0.75 sQ10_spl <=> (op1(e10,e12)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1603,plain,(
% 1.68/0.75 op1(e10,e12)=e12|~sQ10_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1602])).
% 1.68/0.75 fof(f1605,definition,(
% 1.68/0.75 sQ11_spl <=> (op1(e10,e12)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1606,plain,(
% 1.68/0.75 op1(e10,e12)=e13|~sQ11_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1605])).
% 1.68/0.75 fof(f1609,definition,(
% 1.68/0.75 sQ12_spl <=> (op1(e10,e13)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1612,definition,(
% 1.68/0.75 sQ13_spl <=> (op1(e10,e13)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1613,plain,(
% 1.68/0.75 op1(e10,e13)=e11|~sQ13_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1612])).
% 1.68/0.75 fof(f1615,definition,(
% 1.68/0.75 sQ14_spl <=> (op1(e10,e13)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1616,plain,(
% 1.68/0.75 op1(e10,e13)=e12|~sQ14_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1615])).
% 1.68/0.75 fof(f1618,definition,(
% 1.68/0.75 sQ15_spl <=> (op1(e10,e13)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1619,plain,(
% 1.68/0.75 op1(e10,e13)=e13|~sQ15_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1618])).
% 1.68/0.75 fof(f1621,plain,(
% 1.68/0.75 sQ12_spl|sQ13_spl|sQ14_spl|sQ15_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f23,f1609,f1612,f1615,f1618])).
% 1.68/0.75 fof(f1622,definition,(
% 1.68/0.75 sQ16_spl <=> (op1(e11,e10)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1623,plain,(
% 1.68/0.75 op1(e11,e10)=e10|~sQ16_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1622])).
% 1.68/0.75 fof(f1625,definition,(
% 1.68/0.75 sQ17_spl <=> (op1(e11,e10)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1626,plain,(
% 1.68/0.75 op1(e11,e10)=e11|~sQ17_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1625])).
% 1.68/0.75 fof(f1628,definition,(
% 1.68/0.75 sQ18_spl <=> (op1(e11,e10)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1631,definition,(
% 1.68/0.75 sQ19_spl <=> (op1(e11,e10)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1632,plain,(
% 1.68/0.75 op1(e11,e10)=e13|~sQ19_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1631])).
% 1.68/0.75 fof(f1634,plain,(
% 1.68/0.75 sQ16_spl|sQ17_spl|sQ18_spl|sQ19_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f24,f1622,f1625,f1628,f1631])).
% 1.68/0.75 fof(f1635,definition,(
% 1.68/0.75 sQ20_spl <=> (op1(e11,e11)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1636,plain,(
% 1.68/0.75 op1(e11,e11)=e10|~sQ20_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1635])).
% 1.68/0.75 fof(f1638,definition,(
% 1.68/0.75 sQ21_spl <=> (op1(e11,e11)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1639,plain,(
% 1.68/0.75 op1(e11,e11)=e11|~sQ21_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1638])).
% 1.68/0.75 fof(f1641,definition,(
% 1.68/0.75 sQ22_spl <=> (op1(e11,e11)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1642,plain,(
% 1.68/0.75 op1(e11,e11)=e12|~sQ22_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1641])).
% 1.68/0.75 fof(f1644,definition,(
% 1.68/0.75 sQ23_spl <=> (op1(e11,e11)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1645,plain,(
% 1.68/0.75 op1(e11,e11)=e13|~sQ23_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1644])).
% 1.68/0.75 fof(f1648,definition,(
% 1.68/0.75 sQ24_spl <=> (op1(e11,e12)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1649,plain,(
% 1.68/0.75 op1(e11,e12)=e10|~sQ24_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1648])).
% 1.68/0.75 fof(f1651,definition,(
% 1.68/0.75 sQ25_spl <=> (op1(e11,e12)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1652,plain,(
% 1.68/0.75 op1(e11,e12)=e11|~sQ25_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1651])).
% 1.68/0.75 fof(f1654,definition,(
% 1.68/0.75 sQ26_spl <=> (op1(e11,e12)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1655,plain,(
% 1.68/0.75 op1(e11,e12)=e12|~sQ26_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1654])).
% 1.68/0.75 fof(f1657,definition,(
% 1.68/0.75 sQ27_spl <=> (op1(e11,e12)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1658,plain,(
% 1.68/0.75 op1(e11,e12)=e13|~sQ27_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1657])).
% 1.68/0.75 fof(f1661,definition,(
% 1.68/0.75 sQ28_spl <=> (op1(e11,e13)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1662,plain,(
% 1.68/0.75 op1(e11,e13)=e10|~sQ28_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1661])).
% 1.68/0.75 fof(f1664,definition,(
% 1.68/0.75 sQ29_spl <=> (op1(e11,e13)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1665,plain,(
% 1.68/0.75 op1(e11,e13)=e11|~sQ29_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1664])).
% 1.68/0.75 fof(f1667,definition,(
% 1.68/0.75 sQ30_spl <=> (op1(e11,e13)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1668,plain,(
% 1.68/0.75 op1(e11,e13)=e12|~sQ30_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1667])).
% 1.68/0.75 fof(f1674,definition,(
% 1.68/0.75 sQ32_spl <=> (op1(e12,e10)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1677,definition,(
% 1.68/0.75 sQ33_spl <=> (op1(e12,e10)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1678,plain,(
% 1.68/0.75 op1(e12,e10)=e11|~sQ33_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1677])).
% 1.68/0.75 fof(f1680,definition,(
% 1.68/0.75 sQ34_spl <=> (op1(e12,e10)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1681,plain,(
% 1.68/0.75 op1(e12,e10)=e12|~sQ34_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1680])).
% 1.68/0.75 fof(f1687,definition,(
% 1.68/0.75 sQ36_spl <=> (op1(e12,e11)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1688,plain,(
% 1.68/0.75 op1(e12,e11)=e10|~sQ36_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1687])).
% 1.68/0.75 fof(f1690,definition,(
% 1.68/0.75 sQ37_spl <=> (op1(e12,e11)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1691,plain,(
% 1.68/0.75 op1(e12,e11)=e11|~sQ37_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1690])).
% 1.68/0.75 fof(f1693,definition,(
% 1.68/0.75 sQ38_spl <=> (op1(e12,e11)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1694,plain,(
% 1.68/0.75 op1(e12,e11)=e12|~sQ38_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1693])).
% 1.68/0.75 fof(f1696,definition,(
% 1.68/0.75 sQ39_spl <=> (op1(e12,e11)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1697,plain,(
% 1.68/0.75 op1(e12,e11)=e13|~sQ39_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1696])).
% 1.68/0.75 fof(f1700,definition,(
% 1.68/0.75 sQ40_spl <=> (op1(e12,e12)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1701,plain,(
% 1.68/0.75 op1(e12,e12)=e10|~sQ40_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1700])).
% 1.68/0.75 fof(f1703,definition,(
% 1.68/0.75 sQ41_spl <=> (op1(e12,e12)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1704,plain,(
% 1.68/0.75 op1(e12,e12)=e11|~sQ41_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1703])).
% 1.68/0.75 fof(f1706,definition,(
% 1.68/0.75 sQ42_spl <=> (op1(e12,e12)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1709,definition,(
% 1.68/0.75 sQ43_spl <=> (op1(e12,e12)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1710,plain,(
% 1.68/0.75 op1(e12,e12)=e13|~sQ43_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1709])).
% 1.68/0.75 fof(f1713,definition,(
% 1.68/0.75 sQ44_spl <=> (op1(e12,e13)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1714,plain,(
% 1.68/0.75 op1(e12,e13)=e10|~sQ44_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1713])).
% 1.68/0.75 fof(f1716,definition,(
% 1.68/0.75 sQ45_spl <=> (op1(e12,e13)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1717,plain,(
% 1.68/0.75 op1(e12,e13)=e11|~sQ45_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1716])).
% 1.68/0.75 fof(f1719,definition,(
% 1.68/0.75 sQ46_spl <=> (op1(e12,e13)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1722,definition,(
% 1.68/0.75 sQ47_spl <=> (op1(e12,e13)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1723,plain,(
% 1.68/0.75 op1(e12,e13)=e13|~sQ47_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1722])).
% 1.68/0.75 fof(f1725,plain,(
% 1.68/0.75 sQ44_spl|sQ45_spl|sQ46_spl|sQ47_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f31,f1713,f1716,f1719,f1722])).
% 1.68/0.75 fof(f1726,definition,(
% 1.68/0.75 sQ48_spl <=> (op1(e13,e10)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1727,plain,(
% 1.68/0.75 op1(e13,e10)=e10|~sQ48_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1726])).
% 1.68/0.75 fof(f1729,definition,(
% 1.68/0.75 sQ49_spl <=> (op1(e13,e10)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1730,plain,(
% 1.68/0.75 op1(e13,e10)=e11|~sQ49_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1729])).
% 1.68/0.75 fof(f1732,definition,(
% 1.68/0.75 sQ50_spl <=> (op1(e13,e10)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1733,plain,(
% 1.68/0.75 op1(e13,e10)=e12|~sQ50_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1732])).
% 1.68/0.75 fof(f1735,definition,(
% 1.68/0.75 sQ51_spl <=> (op1(e13,e10)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1736,plain,(
% 1.68/0.75 op1(e13,e10)=e13|~sQ51_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1735])).
% 1.68/0.75 fof(f1739,definition,(
% 1.68/0.75 sQ52_spl <=> (op1(e13,e11)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1740,plain,(
% 1.68/0.75 op1(e13,e11)=e10|~sQ52_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1739])).
% 1.68/0.75 fof(f1742,definition,(
% 1.68/0.75 sQ53_spl <=> (op1(e13,e11)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1743,plain,(
% 1.68/0.75 op1(e13,e11)=e11|~sQ53_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1742])).
% 1.68/0.75 fof(f1745,definition,(
% 1.68/0.75 sQ54_spl <=> (op1(e13,e11)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1746,plain,(
% 1.68/0.75 op1(e13,e11)=e12|~sQ54_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1745])).
% 1.68/0.75 fof(f1748,definition,(
% 1.68/0.75 sQ55_spl <=> (op1(e13,e11)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1749,plain,(
% 1.68/0.75 op1(e13,e11)=e13|~sQ55_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1748])).
% 1.68/0.75 fof(f1751,plain,(
% 1.68/0.75 sQ52_spl|sQ53_spl|sQ54_spl|sQ55_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f33,f1739,f1742,f1745,f1748])).
% 1.68/0.75 fof(f1752,definition,(
% 1.68/0.75 sQ56_spl <=> (op1(e13,e12)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1753,plain,(
% 1.68/0.75 op1(e13,e12)=e10|~sQ56_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1752])).
% 1.68/0.75 fof(f1755,definition,(
% 1.68/0.75 sQ57_spl <=> (op1(e13,e12)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1758,definition,(
% 1.68/0.75 sQ58_spl <=> (op1(e13,e12)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1759,plain,(
% 1.68/0.75 op1(e13,e12)=e12|~sQ58_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1758])).
% 1.68/0.75 fof(f1761,definition,(
% 1.68/0.75 sQ59_spl <=> (op1(e13,e12)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1762,plain,(
% 1.68/0.75 op1(e13,e12)=e13|~sQ59_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1761])).
% 1.68/0.75 fof(f1765,definition,(
% 1.68/0.75 sQ60_spl <=> (op1(e13,e13)=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1766,plain,(
% 1.68/0.75 op1(e13,e13)=e10|~sQ60_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1765])).
% 1.68/0.75 fof(f1768,definition,(
% 1.68/0.75 sQ61_spl <=> (op1(e13,e13)=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1771,definition,(
% 1.68/0.75 sQ62_spl <=> (op1(e13,e13)=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1772,plain,(
% 1.68/0.75 op1(e13,e13)=e12|~sQ62_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1771])).
% 1.68/0.75 fof(f1774,definition,(
% 1.68/0.75 sQ63_spl <=> (op1(e13,e13)=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1775,plain,(
% 1.68/0.75 op1(e13,e13)=e13|~sQ63_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1774])).
% 1.68/0.75 fof(f1778,plain,(
% 1.68/0.75 sQ0_spl|sQ4_spl|sQ8_spl|sQ12_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f36,f1570,f1583,f1596,f1609])).
% 1.68/0.75 fof(f1781,plain,(
% 1.68/0.75 sQ1_spl|sQ17_spl|sQ33_spl|sQ49_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f39,f1573,f1625,f1677,f1729])).
% 1.68/0.75 fof(f1787,plain,(
% 1.68/0.75 sQ4_spl|sQ20_spl|sQ36_spl|sQ52_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f45,f1583,f1635,f1687,f1739])).
% 1.68/0.75 fof(f1791,plain,(
% 1.68/0.75 sQ6_spl|sQ22_spl|sQ38_spl|sQ54_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f49,f1589,f1641,f1693,f1745])).
% 1.68/0.75 fof(f1794,plain,(
% 1.68/0.75 sQ32_spl|sQ36_spl|sQ40_spl|sQ44_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f52,f1674,f1687,f1700,f1713])).
% 1.68/0.75 fof(f1796,plain,(
% 1.68/0.75 sQ33_spl|sQ37_spl|sQ41_spl|sQ45_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f54,f1677,f1690,f1703,f1716])).
% 1.68/0.75 fof(f1797,plain,(
% 1.68/0.75 sQ9_spl|sQ25_spl|sQ41_spl|sQ57_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f55,f1599,f1651,f1703,f1755])).
% 1.68/0.75 fof(f1799,plain,(
% 1.68/0.75 sQ10_spl|sQ26_spl|sQ42_spl|sQ58_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f57,f1602,f1654,f1706,f1758])).
% 1.68/0.75 fof(f1801,plain,(
% 1.68/0.75 sQ11_spl|sQ27_spl|sQ43_spl|sQ59_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f59,f1605,f1657,f1709,f1761])).
% 1.68/0.75 fof(f1802,plain,(
% 1.68/0.75 sQ48_spl|sQ52_spl|sQ56_spl|sQ60_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f60,f1726,f1739,f1752,f1765])).
% 1.68/0.75 fof(f1803,plain,(
% 1.68/0.75 sQ12_spl|sQ28_spl|sQ44_spl|sQ60_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f61,f1609,f1661,f1713,f1765])).
% 1.68/0.75 fof(f1805,plain,(
% 1.68/0.75 sQ13_spl|sQ29_spl|sQ45_spl|sQ61_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f63,f1612,f1664,f1716,f1768])).
% 1.68/0.75 fof(f1806,plain,(
% 1.68/0.75 sQ50_spl|sQ54_spl|sQ58_spl|sQ62_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f64,f1732,f1745,f1758,f1771])).
% 1.68/0.75 fof(f1807,plain,(
% 1.68/0.75 sQ14_spl|sQ30_spl|sQ46_spl|sQ62_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f65,f1615,f1667,f1719,f1771])).
% 1.68/0.75 fof(f1808,plain,(
% 1.68/0.75 sQ51_spl|sQ55_spl|sQ59_spl|sQ63_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f66,f1735,f1748,f1761,f1774])).
% 1.68/0.75 fof(f1810,definition,(
% 1.68/0.75 sQ64_spl <=> (op2(e20,e20)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1811,plain,(
% 1.68/0.75 op2(e20,e20)=e20|~sQ64_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1810])).
% 1.68/0.75 fof(f1813,definition,(
% 1.68/0.75 sQ65_spl <=> (op2(e20,e20)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1814,plain,(
% 1.68/0.75 op2(e20,e20)=e21|~sQ65_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1813])).
% 1.68/0.75 fof(f1816,definition,(
% 1.68/0.75 sQ66_spl <=> (op2(e20,e20)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1817,plain,(
% 1.68/0.75 op2(e20,e20)=e22|~sQ66_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1816])).
% 1.68/0.75 fof(f1819,definition,(
% 1.68/0.75 sQ67_spl <=> (op2(e20,e20)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1820,plain,(
% 1.68/0.75 op2(e20,e20)=e23|~sQ67_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1819])).
% 1.68/0.75 fof(f1822,plain,(
% 1.68/0.75 sQ64_spl|sQ65_spl|sQ66_spl|sQ67_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f68,f1810,f1813,f1816,f1819])).
% 1.68/0.75 fof(f1823,definition,(
% 1.68/0.75 sQ68_spl <=> (op2(e20,e21)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1824,plain,(
% 1.68/0.75 op2(e20,e21)=e20|~sQ68_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1823])).
% 1.68/0.75 fof(f1826,definition,(
% 1.68/0.75 sQ69_spl <=> (op2(e20,e21)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1827,plain,(
% 1.68/0.75 op2(e20,e21)=e21|~sQ69_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1826])).
% 1.68/0.75 fof(f1829,definition,(
% 1.68/0.75 sQ70_spl <=> (op2(e20,e21)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1830,plain,(
% 1.68/0.75 op2(e20,e21)=e22|~sQ70_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1829])).
% 1.68/0.75 fof(f1832,definition,(
% 1.68/0.75 sQ71_spl <=> (op2(e20,e21)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1835,plain,(
% 1.68/0.75 sQ68_spl|sQ69_spl|sQ70_spl|sQ71_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f69,f1823,f1826,f1829,f1832])).
% 1.68/0.75 fof(f1836,definition,(
% 1.68/0.75 sQ72_spl <=> (op2(e20,e22)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1837,plain,(
% 1.68/0.75 op2(e20,e22)=e20|~sQ72_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1836])).
% 1.68/0.75 fof(f1839,definition,(
% 1.68/0.75 sQ73_spl <=> (op2(e20,e22)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1840,plain,(
% 1.68/0.75 op2(e20,e22)=e21|~sQ73_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1839])).
% 1.68/0.75 fof(f1842,definition,(
% 1.68/0.75 sQ74_spl <=> (op2(e20,e22)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1843,plain,(
% 1.68/0.75 op2(e20,e22)=e22|~sQ74_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1842])).
% 1.68/0.75 fof(f1849,definition,(
% 1.68/0.75 sQ76_spl <=> (op2(e20,e23)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1850,plain,(
% 1.68/0.75 op2(e20,e23)=e20|~sQ76_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1849])).
% 1.68/0.75 fof(f1852,definition,(
% 1.68/0.75 sQ77_spl <=> (op2(e20,e23)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1853,plain,(
% 1.68/0.75 op2(e20,e23)=e21|~sQ77_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1852])).
% 1.68/0.75 fof(f1855,definition,(
% 1.68/0.75 sQ78_spl <=> (op2(e20,e23)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1856,plain,(
% 1.68/0.75 op2(e20,e23)=e22|~sQ78_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1855])).
% 1.68/0.75 fof(f1858,definition,(
% 1.68/0.75 sQ79_spl <=> (op2(e20,e23)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1859,plain,(
% 1.68/0.75 op2(e20,e23)=e23|~sQ79_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1858])).
% 1.68/0.75 fof(f1861,plain,(
% 1.68/0.75 sQ76_spl|sQ77_spl|sQ78_spl|sQ79_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f71,f1849,f1852,f1855,f1858])).
% 1.68/0.75 fof(f1862,definition,(
% 1.68/0.75 sQ80_spl <=> (op2(e21,e20)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1863,plain,(
% 1.68/0.75 op2(e21,e20)=e20|~sQ80_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1862])).
% 1.68/0.75 fof(f1865,definition,(
% 1.68/0.75 sQ81_spl <=> (op2(e21,e20)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1866,plain,(
% 1.68/0.75 op2(e21,e20)=e21|~sQ81_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1865])).
% 1.68/0.75 fof(f1868,definition,(
% 1.68/0.75 sQ82_spl <=> (op2(e21,e20)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1869,plain,(
% 1.68/0.75 op2(e21,e20)=e22|~sQ82_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1868])).
% 1.68/0.75 fof(f1871,definition,(
% 1.68/0.75 sQ83_spl <=> (op2(e21,e20)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1872,plain,(
% 1.68/0.75 op2(e21,e20)=e23|~sQ83_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1871])).
% 1.68/0.75 fof(f1875,definition,(
% 1.68/0.75 sQ84_spl <=> (op2(e21,e21)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1876,plain,(
% 1.68/0.75 op2(e21,e21)=e20|~sQ84_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1875])).
% 1.68/0.75 fof(f1878,definition,(
% 1.68/0.75 sQ85_spl <=> (op2(e21,e21)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1879,plain,(
% 1.68/0.75 op2(e21,e21)=e21|~sQ85_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1878])).
% 1.68/0.75 fof(f1881,definition,(
% 1.68/0.75 sQ86_spl <=> (op2(e21,e21)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1882,plain,(
% 1.68/0.75 op2(e21,e21)=e22|~sQ86_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1881])).
% 1.68/0.75 fof(f1884,definition,(
% 1.68/0.75 sQ87_spl <=> (op2(e21,e21)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1885,plain,(
% 1.68/0.75 op2(e21,e21)=e23|~sQ87_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1884])).
% 1.68/0.75 fof(f1888,definition,(
% 1.68/0.75 sQ88_spl <=> (op2(e21,e22)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1889,plain,(
% 1.68/0.75 op2(e21,e22)=e20|~sQ88_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1888])).
% 1.68/0.75 fof(f1891,definition,(
% 1.68/0.75 sQ89_spl <=> (op2(e21,e22)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1892,plain,(
% 1.68/0.75 op2(e21,e22)=e21|~sQ89_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1891])).
% 1.68/0.75 fof(f1894,definition,(
% 1.68/0.75 sQ90_spl <=> (op2(e21,e22)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1895,plain,(
% 1.68/0.75 op2(e21,e22)=e22|~sQ90_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1894])).
% 1.68/0.75 fof(f1897,definition,(
% 1.68/0.75 sQ91_spl <=> (op2(e21,e22)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1898,plain,(
% 1.68/0.75 op2(e21,e22)=e23|~sQ91_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1897])).
% 1.68/0.75 fof(f1900,plain,(
% 1.68/0.75 sQ88_spl|sQ89_spl|sQ90_spl|sQ91_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f74,f1888,f1891,f1894,f1897])).
% 1.68/0.75 fof(f1901,definition,(
% 1.68/0.75 sQ92_spl <=> (op2(e21,e23)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1902,plain,(
% 1.68/0.75 op2(e21,e23)=e20|~sQ92_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1901])).
% 1.68/0.75 fof(f1903,plain,(
% 1.68/0.75 ~op2(e21,e23)=e20|sQ92_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1901])).
% 1.68/0.75 fof(f1904,definition,(
% 1.68/0.75 sQ93_spl <=> (op2(e21,e23)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1905,plain,(
% 1.68/0.75 op2(e21,e23)=e21|~sQ93_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1904])).
% 1.68/0.75 fof(f1907,definition,(
% 1.68/0.75 sQ94_spl <=> (op2(e21,e23)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1908,plain,(
% 1.68/0.75 op2(e21,e23)=e22|~sQ94_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1907])).
% 1.68/0.75 fof(f1910,definition,(
% 1.68/0.75 sQ95_spl <=> (op2(e21,e23)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1911,plain,(
% 1.68/0.75 op2(e21,e23)=e23|~sQ95_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1910])).
% 1.68/0.75 fof(f1914,definition,(
% 1.68/0.75 sQ96_spl <=> (op2(e22,e20)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1915,plain,(
% 1.68/0.75 op2(e22,e20)=e20|~sQ96_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1914])).
% 1.68/0.75 fof(f1917,definition,(
% 1.68/0.75 sQ97_spl <=> (op2(e22,e20)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1918,plain,(
% 1.68/0.75 op2(e22,e20)=e21|~sQ97_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1917])).
% 1.68/0.75 fof(f1920,definition,(
% 1.68/0.75 sQ98_spl <=> (op2(e22,e20)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1921,plain,(
% 1.68/0.75 op2(e22,e20)=e22|~sQ98_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1920])).
% 1.68/0.75 fof(f1923,definition,(
% 1.68/0.75 sQ99_spl <=> (op2(e22,e20)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1924,plain,(
% 1.68/0.75 op2(e22,e20)=e23|~sQ99_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1923])).
% 1.68/0.75 fof(f1927,definition,(
% 1.68/0.75 sQ100_spl <=> (op2(e22,e21)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1928,plain,(
% 1.68/0.75 op2(e22,e21)=e20|~sQ100_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1927])).
% 1.68/0.75 fof(f1930,definition,(
% 1.68/0.75 sQ101_spl <=> (op2(e22,e21)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1931,plain,(
% 1.68/0.75 op2(e22,e21)=e21|~sQ101_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1930])).
% 1.68/0.75 fof(f1933,definition,(
% 1.68/0.75 sQ102_spl <=> (op2(e22,e21)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1934,plain,(
% 1.68/0.75 op2(e22,e21)=e22|~sQ102_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1933])).
% 1.68/0.75 fof(f1936,definition,(
% 1.68/0.75 sQ103_spl <=> (op2(e22,e21)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1937,plain,(
% 1.68/0.75 op2(e22,e21)=e23|~sQ103_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1936])).
% 1.68/0.75 fof(f1940,definition,(
% 1.68/0.75 sQ104_spl <=> (op2(e22,e22)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1941,plain,(
% 1.68/0.75 op2(e22,e22)=e20|~sQ104_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1940])).
% 1.68/0.75 fof(f1943,definition,(
% 1.68/0.75 sQ105_spl <=> (op2(e22,e22)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1944,plain,(
% 1.68/0.75 op2(e22,e22)=e21|~sQ105_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1943])).
% 1.68/0.75 fof(f1946,definition,(
% 1.68/0.75 sQ106_spl <=> (op2(e22,e22)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1947,plain,(
% 1.68/0.75 op2(e22,e22)=e22|~sQ106_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1946])).
% 1.68/0.75 fof(f1949,definition,(
% 1.68/0.75 sQ107_spl <=> (op2(e22,e22)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1950,plain,(
% 1.68/0.75 op2(e22,e22)=e23|~sQ107_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1949])).
% 1.68/0.75 fof(f1953,definition,(
% 1.68/0.75 sQ108_spl <=> (op2(e22,e23)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1954,plain,(
% 1.68/0.75 op2(e22,e23)=e20|~sQ108_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1953])).
% 1.68/0.75 fof(f1956,definition,(
% 1.68/0.75 sQ109_spl <=> (op2(e22,e23)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1957,plain,(
% 1.68/0.75 op2(e22,e23)=e21|~sQ109_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1956])).
% 1.68/0.75 fof(f1959,definition,(
% 1.68/0.75 sQ110_spl <=> (op2(e22,e23)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1962,definition,(
% 1.68/0.75 sQ111_spl <=> (op2(e22,e23)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1963,plain,(
% 1.68/0.75 op2(e22,e23)=e23|~sQ111_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1962])).
% 1.68/0.75 fof(f1966,definition,(
% 1.68/0.75 sQ112_spl <=> (op2(e23,e20)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1967,plain,(
% 1.68/0.75 op2(e23,e20)=e20|~sQ112_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1966])).
% 1.68/0.75 fof(f1969,definition,(
% 1.68/0.75 sQ113_spl <=> (op2(e23,e20)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1970,plain,(
% 1.68/0.75 op2(e23,e20)=e21|~sQ113_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1969])).
% 1.68/0.75 fof(f1972,definition,(
% 1.68/0.75 sQ114_spl <=> (op2(e23,e20)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1973,plain,(
% 1.68/0.75 op2(e23,e20)=e22|~sQ114_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1972])).
% 1.68/0.75 fof(f1975,definition,(
% 1.68/0.75 sQ115_spl <=> (op2(e23,e20)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1976,plain,(
% 1.68/0.75 op2(e23,e20)=e23|~sQ115_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1975])).
% 1.68/0.75 fof(f1979,definition,(
% 1.68/0.75 sQ116_spl <=> (op2(e23,e21)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1980,plain,(
% 1.68/0.75 op2(e23,e21)=e20|~sQ116_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1979])).
% 1.68/0.75 fof(f1982,definition,(
% 1.68/0.75 sQ117_spl <=> (op2(e23,e21)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1983,plain,(
% 1.68/0.75 op2(e23,e21)=e21|~sQ117_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1982])).
% 1.68/0.75 fof(f1985,definition,(
% 1.68/0.75 sQ118_spl <=> (op2(e23,e21)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1986,plain,(
% 1.68/0.75 op2(e23,e21)=e22|~sQ118_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1985])).
% 1.68/0.75 fof(f1988,definition,(
% 1.68/0.75 sQ119_spl <=> (op2(e23,e21)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1989,plain,(
% 1.68/0.75 op2(e23,e21)=e23|~sQ119_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1988])).
% 1.68/0.75 fof(f1992,definition,(
% 1.68/0.75 sQ120_spl <=> (op2(e23,e22)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1993,plain,(
% 1.68/0.75 op2(e23,e22)=e20|~sQ120_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1992])).
% 1.68/0.75 fof(f1995,definition,(
% 1.68/0.75 sQ121_spl <=> (op2(e23,e22)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1996,plain,(
% 1.68/0.75 op2(e23,e22)=e21|~sQ121_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1995])).
% 1.68/0.75 fof(f1998,definition,(
% 1.68/0.75 sQ122_spl <=> (op2(e23,e22)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f1999,plain,(
% 1.68/0.75 op2(e23,e22)=e22|~sQ122_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f1998])).
% 1.68/0.75 fof(f2001,definition,(
% 1.68/0.75 sQ123_spl <=> (op2(e23,e22)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2002,plain,(
% 1.68/0.75 op2(e23,e22)=e23|~sQ123_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2001])).
% 1.68/0.75 fof(f2004,plain,(
% 1.68/0.75 sQ120_spl|sQ121_spl|sQ122_spl|sQ123_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f82,f1992,f1995,f1998,f2001])).
% 1.68/0.75 fof(f2005,definition,(
% 1.68/0.75 sQ124_spl <=> (op2(e23,e23)=e20)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2006,plain,(
% 1.68/0.75 op2(e23,e23)=e20|~sQ124_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2005])).
% 1.68/0.75 fof(f2008,definition,(
% 1.68/0.75 sQ125_spl <=> (op2(e23,e23)=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2009,plain,(
% 1.68/0.75 op2(e23,e23)=e21|~sQ125_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2008])).
% 1.68/0.75 fof(f2011,definition,(
% 1.68/0.75 sQ126_spl <=> (op2(e23,e23)=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2012,plain,(
% 1.68/0.75 op2(e23,e23)=e22|~sQ126_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2011])).
% 1.68/0.75 fof(f2014,definition,(
% 1.68/0.75 sQ127_spl <=> (op2(e23,e23)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2015,plain,(
% 1.68/0.75 op2(e23,e23)=e23|~sQ127_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2014])).
% 1.68/0.75 fof(f2017,plain,(
% 1.68/0.75 sQ124_spl|sQ125_spl|sQ126_spl|sQ127_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f83,f2005,f2008,f2011,f2014])).
% 1.68/0.75 fof(f2019,plain,(
% 1.68/0.75 sQ64_spl|sQ80_spl|sQ96_spl|sQ112_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f85,f1810,f1862,f1914,f1966])).
% 1.68/0.75 fof(f2020,plain,(
% 1.68/0.75 sQ65_spl|sQ69_spl|sQ73_spl|sQ77_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f86,f1813,f1826,f1839,f1852])).
% 1.68/0.75 fof(f2021,plain,(
% 1.68/0.75 sQ65_spl|sQ81_spl|sQ97_spl|sQ113_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f87,f1813,f1865,f1917,f1969])).
% 1.68/0.75 fof(f2022,plain,(
% 1.68/0.75 sQ66_spl|sQ70_spl|sQ74_spl|sQ78_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f88,f1816,f1829,f1842,f1855])).
% 1.68/0.75 fof(f2023,plain,(
% 1.68/0.75 sQ66_spl|sQ82_spl|sQ98_spl|sQ114_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f89,f1816,f1868,f1920,f1972])).
% 1.68/0.75 fof(f2025,plain,(
% 1.68/0.75 sQ67_spl|sQ83_spl|sQ99_spl|sQ115_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f91,f1819,f1871,f1923,f1975])).
% 1.68/0.75 fof(f2027,plain,(
% 1.68/0.75 sQ68_spl|sQ84_spl|sQ100_spl|sQ116_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f93,f1823,f1875,f1927,f1979])).
% 1.68/0.75 fof(f2028,plain,(
% 1.68/0.75 sQ81_spl|sQ85_spl|sQ89_spl|sQ93_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f94,f1865,f1878,f1891,f1904])).
% 1.68/0.75 fof(f2029,plain,(
% 1.68/0.75 sQ69_spl|sQ85_spl|sQ101_spl|sQ117_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f95,f1826,f1878,f1930,f1982])).
% 1.68/0.75 fof(f2036,plain,(
% 1.68/0.75 sQ97_spl|sQ101_spl|sQ105_spl|sQ109_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f102,f1917,f1930,f1943,f1956])).
% 1.68/0.75 fof(f2039,plain,(
% 1.68/0.75 sQ74_spl|sQ90_spl|sQ106_spl|sQ122_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f105,f1842,f1894,f1946,f1998])).
% 1.68/0.75 fof(f2040,plain,(
% 1.68/0.75 sQ99_spl|sQ103_spl|sQ107_spl|sQ111_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f106,f1923,f1936,f1949,f1962])).
% 1.68/0.75 fof(f2042,plain,(
% 1.68/0.75 sQ112_spl|sQ116_spl|sQ120_spl|sQ124_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f108,f1966,f1979,f1992,f2005])).
% 1.68/0.75 fof(f2043,plain,(
% 1.68/0.75 sQ76_spl|sQ92_spl|sQ108_spl|sQ124_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f109,f1849,f1901,f1953,f2005])).
% 1.68/0.75 fof(f2047,plain,(
% 1.68/0.75 sQ78_spl|sQ94_spl|sQ110_spl|sQ126_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f113,f1855,f1907,f1959,f2011])).
% 1.68/0.75 fof(f2049,plain,(
% 1.68/0.75 sQ79_spl|sQ95_spl|sQ111_spl|sQ127_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f115,f1858,f1910,f1962,f2014])).
% 1.68/0.75 fof(f2050,plain,(
% 1.68/0.75 sQ0_spl|sQ17_spl|sQ34_spl|sQ51_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f243,f1570,f1625,f1680,f1735])).
% 1.68/0.75 fof(f2052,plain,(
% 1.68/0.75 sQ8_spl|sQ25_spl|sQ42_spl|sQ59_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f245,f1596,f1651,f1706,f1761])).
% 1.68/0.75 fof(f2053,plain,(
% 1.68/0.75 sQ12_spl|sQ29_spl|sQ46_spl|sQ63_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f246,f1609,f1664,f1719,f1774])).
% 1.68/0.75 fof(f2054,definition,(
% 1.68/0.75 sQ128_spl <=> (sP0_prd)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2057,definition,(
% 1.68/0.75 sQ129_spl <=> (op1(e13,op1(e13,e10))=e10)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2058,plain,(
% 1.68/0.75 op1(e13,op1(e13,e10))=e10|~sQ129_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2057])).
% 1.68/0.75 fof(f2059,plain,(
% 1.68/0.75 ~op1(e13,op1(e13,e10))=e10|sQ129_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2057])).
% 1.68/0.75 fof(f2061,definition,(
% 1.68/0.75 sQ130_spl <=> (op1(e13,op1(e13,e11))=e11)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2063,plain,(
% 1.68/0.75 ~op1(e13,op1(e13,e11))=e11|sQ130_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2061])).
% 1.68/0.75 fof(f2064,plain,(
% 1.68/0.75 sQ128_spl|~sQ130_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f248,f2054,f2061])).
% 1.68/0.75 fof(f2065,definition,(
% 1.68/0.75 sQ131_spl <=> (op1(e13,op1(e13,e12))=e12)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2066,plain,(
% 1.68/0.75 op1(e13,op1(e13,e12))=e12|~sQ131_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2065])).
% 1.68/0.75 fof(f2067,plain,(
% 1.68/0.75 ~op1(e13,op1(e13,e12))=e12|sQ131_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2065])).
% 1.68/0.75 fof(f2069,definition,(
% 1.68/0.75 sQ132_spl <=> (op1(e13,op1(e13,e13))=e13)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2070,plain,(
% 1.68/0.75 op1(e13,op1(e13,e13))=e13|~sQ132_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2069])).
% 1.68/0.75 fof(f2071,plain,(
% 1.68/0.75 ~op1(e13,op1(e13,e13))=e13|sQ132_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2069])).
% 1.68/0.75 fof(f2080,plain,(
% 1.68/0.75 sQ64_spl|sQ81_spl|sQ98_spl|sQ115_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f258,f1810,f1865,f1920,f1975])).
% 1.68/0.75 fof(f2081,plain,(
% 1.68/0.75 sQ68_spl|sQ85_spl|sQ102_spl|sQ119_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f259,f1823,f1878,f1933,f1988])).
% 1.68/0.75 fof(f2082,plain,(
% 1.68/0.75 sQ72_spl|sQ89_spl|sQ106_spl|sQ123_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f260,f1836,f1891,f1946,f2001])).
% 1.68/0.75 fof(f2083,plain,(
% 1.68/0.75 sQ76_spl|sQ93_spl|sQ110_spl|sQ127_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f261,f1849,f1904,f1959,f2014])).
% 1.68/0.75 fof(f2084,definition,(
% 1.68/0.75 sQ134_spl <=> (sP2_prd)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2091,definition,(
% 1.68/0.75 sQ136_spl <=> (op2(e23,op2(e23,e21))=e21)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2093,plain,(
% 1.68/0.75 ~op2(e23,op2(e23,e21))=e21|sQ136_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2091])).
% 1.68/0.75 fof(f2094,plain,(
% 1.68/0.75 sQ134_spl|~sQ136_spl),
% 1.68/0.75 inference(split_clause,[status(thm)],[f263,f2084,f2091])).
% 1.68/0.75 fof(f2095,definition,(
% 1.68/0.75 sQ137_spl <=> (op2(e23,op2(e23,e22))=e22)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2097,plain,(
% 1.68/0.75 ~op2(e23,op2(e23,e22))=e22|sQ137_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2095])).
% 1.68/0.75 fof(f2099,definition,(
% 1.68/0.75 sQ138_spl <=> (op2(e23,op2(e23,e23))=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2101,plain,(
% 1.68/0.75 ~op2(e23,op2(e23,e23))=e23|sQ138_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2099])).
% 1.68/0.75 fof(f2103,definition,(
% 1.68/0.75 sQ139_spl <=> (sP3_prd)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2113,definition,(
% 1.68/0.75 sQ141_spl <=> (h1(op1(e10,e11))=op2(h1(e10),h1(e11)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2115,plain,(
% 1.68/0.75 ~h1(op1(e10,e11))=op2(h1(e10),h1(e11))|sQ141_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2113])).
% 1.68/0.75 fof(f2125,definition,(
% 1.68/0.75 sQ145_spl <=> (h1(op1(e11,e11))=op2(h1(e11),h1(e11)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2126,plain,(
% 1.68/0.75 h1(op1(e11,e11))=op2(h1(e11),h1(e11))|~sQ145_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2125])).
% 1.68/0.75 fof(f2127,plain,(
% 1.68/0.75 ~h1(op1(e11,e11))=op2(h1(e11),h1(e11))|sQ145_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2125])).
% 1.68/0.75 fof(f2137,definition,(
% 1.68/0.75 sQ149_spl <=> (h1(op1(e12,e11))=op2(h1(e12),h1(e11)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2139,plain,(
% 1.68/0.75 ~h1(op1(e12,e11))=op2(h1(e12),h1(e11))|sQ149_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2137])).
% 1.68/0.75 fof(f2146,definition,(
% 1.68/0.75 sQ152_spl <=> (h1(op1(e13,e10))=op2(h1(e13),h1(e10)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2148,plain,(
% 1.68/0.75 ~h1(op1(e13,e10))=op2(h1(e13),h1(e10))|sQ152_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2146])).
% 1.68/0.75 fof(f2149,definition,(
% 1.68/0.75 sQ153_spl <=> (h1(op1(e13,e11))=op2(h1(e13),h1(e11)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2150,plain,(
% 1.68/0.75 h1(op1(e13,e11))=op2(h1(e13),h1(e11))|~sQ153_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2149])).
% 1.68/0.75 fof(f2151,plain,(
% 1.68/0.75 ~h1(op1(e13,e11))=op2(h1(e13),h1(e11))|sQ153_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2149])).
% 1.68/0.75 fof(f2158,definition,(
% 1.68/0.75 sQ156_spl <=> (sP4_prd)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2167,definition,(
% 1.68/0.75 sQ159_spl <=> (h1(e10)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2169,plain,(
% 1.68/0.75 ~h1(e10)=e23|sQ159_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2167])).
% 1.68/0.75 fof(f2186,definition,(
% 1.68/0.75 sQ164_spl <=> (h2(op1(e10,e11))=op2(h2(e10),h2(e11)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2188,plain,(
% 1.68/0.75 ~h2(op1(e10,e11))=op2(h2(e10),h2(e11))|sQ164_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2186])).
% 1.68/0.75 fof(f2198,definition,(
% 1.68/0.75 sQ168_spl <=> (h2(op1(e11,e11))=op2(h2(e11),h2(e11)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2200,plain,(
% 1.68/0.75 ~h2(op1(e11,e11))=op2(h2(e11),h2(e11))|sQ168_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2198])).
% 1.68/0.75 fof(f2207,definition,(
% 1.68/0.75 sQ171_spl <=> (h2(op1(e12,e10))=op2(h2(e12),h2(e10)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2208,plain,(
% 1.68/0.75 h2(op1(e12,e10))=op2(h2(e12),h2(e10))|~sQ171_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2207])).
% 1.68/0.75 fof(f2209,plain,(
% 1.68/0.75 ~h2(op1(e12,e10))=op2(h2(e12),h2(e10))|sQ171_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2207])).
% 1.68/0.75 fof(f2210,definition,(
% 1.68/0.75 sQ172_spl <=> (h2(op1(e12,e11))=op2(h2(e12),h2(e11)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2212,plain,(
% 1.68/0.75 ~h2(op1(e12,e11))=op2(h2(e12),h2(e11))|sQ172_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2210])).
% 1.68/0.75 fof(f2219,definition,(
% 1.68/0.75 sQ175_spl <=> (h2(op1(e13,e10))=op2(h2(e13),h2(e10)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2221,plain,(
% 1.68/0.75 ~h2(op1(e13,e10))=op2(h2(e13),h2(e10))|sQ175_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2219])).
% 1.68/0.75 fof(f2222,definition,(
% 1.68/0.75 sQ176_spl <=> (h2(op1(e13,e11))=op2(h2(e13),h2(e11)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2224,plain,(
% 1.68/0.75 ~h2(op1(e13,e11))=op2(h2(e13),h2(e11))|sQ176_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2222])).
% 1.68/0.75 fof(f2231,definition,(
% 1.68/0.75 sQ179_spl <=> (sP7_prd)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2234,definition,(
% 1.68/0.75 sQ180_spl <=> (sP8_prd)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2237,definition,(
% 1.68/0.75 sQ181_spl <=> (sP9_prd)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2252,definition,(
% 1.68/0.75 sQ185_spl <=> (h2(e13)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2254,plain,(
% 1.68/0.75 ~h2(e13)=e23|sQ185_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2252])).
% 1.68/0.75 fof(f2256,definition,(
% 1.68/0.75 sQ186_spl <=> (h3(op1(e10,e10))=op2(h3(e10),h3(e10)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2258,plain,(
% 1.68/0.75 ~h3(op1(e10,e10))=op2(h3(e10),h3(e10))|sQ186_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2256])).
% 1.68/0.75 fof(f2259,definition,(
% 1.68/0.75 sQ187_spl <=> (h3(op1(e10,e11))=op2(h3(e10),h3(e11)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2261,plain,(
% 1.68/0.75 ~h3(op1(e10,e11))=op2(h3(e10),h3(e11))|sQ187_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2259])).
% 1.68/0.75 fof(f2262,definition,(
% 1.68/0.75 sQ188_spl <=> (h3(op1(e10,e12))=op2(h3(e10),h3(e12)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2264,plain,(
% 1.68/0.75 ~h3(op1(e10,e12))=op2(h3(e10),h3(e12))|sQ188_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2262])).
% 1.68/0.75 fof(f2265,definition,(
% 1.68/0.75 sQ189_spl <=> (h3(op1(e10,e13))=op2(h3(e10),h3(e13)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2267,plain,(
% 1.68/0.75 ~h3(op1(e10,e13))=op2(h3(e10),h3(e13))|sQ189_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2265])).
% 1.68/0.75 fof(f2268,definition,(
% 1.68/0.75 sQ190_spl <=> (h3(op1(e11,e10))=op2(h3(e11),h3(e10)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2270,plain,(
% 1.68/0.75 ~h3(op1(e11,e10))=op2(h3(e11),h3(e10))|sQ190_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2268])).
% 1.68/0.75 fof(f2271,definition,(
% 1.68/0.75 sQ191_spl <=> (h3(op1(e11,e11))=op2(h3(e11),h3(e11)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2272,plain,(
% 1.68/0.75 h3(op1(e11,e11))=op2(h3(e11),h3(e11))|~sQ191_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2271])).
% 1.68/0.75 fof(f2273,plain,(
% 1.68/0.75 ~h3(op1(e11,e11))=op2(h3(e11),h3(e11))|sQ191_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2271])).
% 1.68/0.75 fof(f2274,definition,(
% 1.68/0.75 sQ192_spl <=> (h3(op1(e11,e12))=op2(h3(e11),h3(e12)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2276,plain,(
% 1.68/0.75 ~h3(op1(e11,e12))=op2(h3(e11),h3(e12))|sQ192_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2274])).
% 1.68/0.75 fof(f2277,definition,(
% 1.68/0.75 sQ193_spl <=> (h3(op1(e11,e13))=op2(h3(e11),h3(e13)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2279,plain,(
% 1.68/0.75 ~h3(op1(e11,e13))=op2(h3(e11),h3(e13))|sQ193_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2277])).
% 1.68/0.75 fof(f2280,definition,(
% 1.68/0.75 sQ194_spl <=> (h3(op1(e12,e10))=op2(h3(e12),h3(e10)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2282,plain,(
% 1.68/0.75 ~h3(op1(e12,e10))=op2(h3(e12),h3(e10))|sQ194_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2280])).
% 1.68/0.75 fof(f2283,definition,(
% 1.68/0.75 sQ195_spl <=> (h3(op1(e12,e11))=op2(h3(e12),h3(e11)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2285,plain,(
% 1.68/0.75 ~h3(op1(e12,e11))=op2(h3(e12),h3(e11))|sQ195_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2283])).
% 1.68/0.75 fof(f2286,definition,(
% 1.68/0.75 sQ196_spl <=> (h3(op1(e12,e12))=op2(h3(e12),h3(e12)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2288,plain,(
% 1.68/0.75 ~h3(op1(e12,e12))=op2(h3(e12),h3(e12))|sQ196_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2286])).
% 1.68/0.75 fof(f2289,definition,(
% 1.68/0.75 sQ197_spl <=> (h3(op1(e12,e13))=op2(h3(e12),h3(e13)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2291,plain,(
% 1.68/0.75 ~h3(op1(e12,e13))=op2(h3(e12),h3(e13))|sQ197_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2289])).
% 1.68/0.75 fof(f2292,definition,(
% 1.68/0.75 sQ198_spl <=> (h3(op1(e13,e10))=op2(h3(e13),h3(e10)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2294,plain,(
% 1.68/0.75 ~h3(op1(e13,e10))=op2(h3(e13),h3(e10))|sQ198_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2292])).
% 1.68/0.75 fof(f2295,definition,(
% 1.68/0.75 sQ199_spl <=> (h3(op1(e13,e11))=op2(h3(e13),h3(e11)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2297,plain,(
% 1.68/0.75 ~h3(op1(e13,e11))=op2(h3(e13),h3(e11))|sQ199_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2295])).
% 1.68/0.75 fof(f2298,definition,(
% 1.68/0.75 sQ200_spl <=> (h3(op1(e13,e12))=op2(h3(e13),h3(e12)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2300,plain,(
% 1.68/0.75 ~h3(op1(e13,e12))=op2(h3(e13),h3(e12))|sQ200_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2298])).
% 1.68/0.75 fof(f2301,definition,(
% 1.68/0.75 sQ201_spl <=> (h3(op1(e13,e13))=op2(h3(e13),h3(e13)))),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2303,plain,(
% 1.68/0.75 ~h3(op1(e13,e13))=op2(h3(e13),h3(e13))|sQ201_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2301])).
% 1.68/0.75 fof(f2304,definition,(
% 1.68/0.75 sQ202_spl <=> (sP10_prd)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2307,definition,(
% 1.68/0.75 sQ203_spl <=> (sP11_prd)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2310,definition,(
% 1.68/0.75 sQ204_spl <=> (sP12_prd)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2313,definition,(
% 1.68/0.75 sQ205_spl <=> (h3(e10)=e23)),
% 1.68/0.75 introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition])).
% 1.68/0.75 fof(f2315,plain,(
% 1.68/0.75 ~h3(e10)=e23|sQ205_spl),
% 1.68/0.75 inference(component_clause,[status(thm)],[f2313])).
% 1.68/0.75 fof(f2316,plain,(
% 1.68/0.75 ~sQ186_spl|~sQ187_spl|~sQ188_spl|~sQ189_spl|~sQ190_spl|~sQ191_spl|~sQ192_spl|~sQ193_spl|~sQ194_spl|~sQ195_spl|~sQ196_spl|~sQ197_spl|~sQ198_spl|~sQ199_spl|~sQ200_spl|~sQ201_spl|sQ202_spl|sQ203_spl|sQ204_spl|~sQ205_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f314,f2256,f2259,f2262,f2265,f2268,f2271,f2274,f2277,f2280,f2283,f2286,f2289,f2292,f2295,f2298,f2301,f2304,f2307,f2310,f2313])).
% 1.68/0.76 fof(f2332,definition,(
% 1.68/0.76 sQ210_spl <=> (h4(op1(e10,e11))=op2(h4(e10),h4(e11)))),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2334,plain,(
% 1.68/0.76 ~h4(op1(e10,e11))=op2(h4(e10),h4(e11))|sQ210_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2332])).
% 1.68/0.76 fof(f2344,definition,(
% 1.68/0.76 sQ214_spl <=> (h4(op1(e11,e11))=op2(h4(e11),h4(e11)))),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2345,plain,(
% 1.68/0.76 h4(op1(e11,e11))=op2(h4(e11),h4(e11))|~sQ214_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2344])).
% 1.68/0.76 fof(f2346,plain,(
% 1.68/0.76 ~h4(op1(e11,e11))=op2(h4(e11),h4(e11))|sQ214_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2344])).
% 1.68/0.76 fof(f2356,definition,(
% 1.68/0.76 sQ218_spl <=> (h4(op1(e12,e11))=op2(h4(e12),h4(e11)))),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2358,plain,(
% 1.68/0.76 ~h4(op1(e12,e11))=op2(h4(e12),h4(e11))|sQ218_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2356])).
% 1.68/0.76 fof(f2365,definition,(
% 1.68/0.76 sQ221_spl <=> (h4(op1(e13,e10))=op2(h4(e13),h4(e10)))),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2367,plain,(
% 1.68/0.76 ~h4(op1(e13,e10))=op2(h4(e13),h4(e10))|sQ221_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2365])).
% 1.68/0.76 fof(f2368,definition,(
% 1.68/0.76 sQ222_spl <=> (h4(op1(e13,e11))=op2(h4(e13),h4(e11)))),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2370,plain,(
% 1.68/0.76 ~h4(op1(e13,e11))=op2(h4(e13),h4(e11))|sQ222_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2368])).
% 1.68/0.76 fof(f2386,definition,(
% 1.68/0.76 sQ228_spl <=> (h4(e10)=e23)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2387,plain,(
% 1.68/0.76 h4(e10)=e23|~sQ228_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2386])).
% 1.68/0.76 fof(f2388,plain,(
% 1.68/0.76 ~h4(e10)=e23|sQ228_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2386])).
% 1.68/0.76 fof(f2390,definition,(
% 1.68/0.76 sQ229_spl <=> (h4(e11)=e23)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2392,plain,(
% 1.68/0.76 ~h4(e11)=e23|sQ229_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2390])).
% 1.68/0.76 fof(f2394,definition,(
% 1.68/0.76 sQ230_spl <=> (h4(e12)=e23)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2395,plain,(
% 1.68/0.76 h4(e12)=e23|~sQ230_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2394])).
% 1.68/0.76 fof(f2396,plain,(
% 1.68/0.76 ~h4(e12)=e23|sQ230_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2394])).
% 1.68/0.76 fof(f2398,definition,(
% 1.68/0.76 sQ231_spl <=> (h4(e13)=e23)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2400,plain,(
% 1.68/0.76 ~h4(e13)=e23|sQ231_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2398])).
% 1.68/0.76 fof(f2402,definition,(
% 1.68/0.76 sQ232_spl <=> (sP16_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2417,definition,(
% 1.68/0.76 sQ236_spl <=> (op1(e12,op1(e12,e13))=e13)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2419,plain,(
% 1.68/0.76 ~op1(e12,op1(e12,e13))=e13|sQ236_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2417])).
% 1.68/0.76 fof(f2420,plain,(
% 1.68/0.76 ~sQ128_spl|sQ232_spl|~sQ236_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f328,f2054,f2402,f2417])).
% 1.68/0.76 fof(f2432,definition,(
% 1.68/0.76 sQ238_spl <=> (sP18_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2435,definition,(
% 1.68/0.76 sQ239_spl <=> (op2(e22,op2(e22,e20))=e20)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2437,plain,(
% 1.68/0.76 ~op2(e22,op2(e22,e20))=e20|sQ239_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2435])).
% 1.68/0.76 fof(f2438,plain,(
% 1.68/0.76 ~sQ134_spl|sQ238_spl|~sQ239_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f343,f2084,f2432,f2435])).
% 1.68/0.76 fof(f2439,definition,(
% 1.68/0.76 sQ240_spl <=> (op2(e22,op2(e22,e21))=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2441,plain,(
% 1.68/0.76 ~op2(e22,op2(e22,e21))=e21|sQ240_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2439])).
% 1.68/0.76 fof(f2442,plain,(
% 1.68/0.76 ~sQ134_spl|sQ238_spl|~sQ240_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f344,f2084,f2432,f2439])).
% 1.68/0.76 fof(f2443,definition,(
% 1.68/0.76 sQ241_spl <=> (op2(e22,op2(e22,e22))=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2446,plain,(
% 1.68/0.76 ~sQ134_spl|sQ238_spl|~sQ241_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f345,f2084,f2432,f2443])).
% 1.68/0.76 fof(f2447,definition,(
% 1.68/0.76 sQ242_spl <=> (op2(e22,op2(e22,e23))=e23)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2449,plain,(
% 1.68/0.76 ~op2(e22,op2(e22,e23))=e23|sQ242_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2447])).
% 1.68/0.76 fof(f2450,plain,(
% 1.68/0.76 ~sQ134_spl|sQ238_spl|~sQ242_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f346,f2084,f2432,f2447])).
% 1.68/0.76 fof(f2453,definition,(
% 1.68/0.76 sQ243_spl <=> (sP19_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2460,plain,(
% 1.68/0.76 sQ139_spl|~sQ243_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f356,f2103,f2453])).
% 1.68/0.76 fof(f2474,definition,(
% 1.68/0.76 sQ247_spl <=> (h1(e13)=e20)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2475,plain,(
% 1.68/0.76 h1(e13)=e20|~sQ247_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2474])).
% 1.68/0.76 fof(f2476,plain,(
% 1.68/0.76 ~h1(e13)=e20|sQ247_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2474])).
% 1.68/0.76 fof(f2477,plain,(
% 1.68/0.76 ~sQ156_spl|~sQ247_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f362,f2158,f2474])).
% 1.68/0.76 fof(f2479,definition,(
% 1.68/0.76 sQ248_spl <=> (h1(e10)=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2480,plain,(
% 1.68/0.76 h1(e10)=e21|~sQ248_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2479])).
% 1.68/0.76 fof(f2481,plain,(
% 1.68/0.76 ~h1(e10)=e21|sQ248_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2479])).
% 1.68/0.76 fof(f2483,definition,(
% 1.68/0.76 sQ249_spl <=> (h1(e11)=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2484,plain,(
% 1.68/0.76 h1(e11)=e21|~sQ249_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2483])).
% 1.68/0.76 fof(f2487,definition,(
% 1.68/0.76 sQ250_spl <=> (h1(e12)=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2488,plain,(
% 1.68/0.76 h1(e12)=e21|~sQ250_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2487])).
% 1.68/0.76 fof(f2496,definition,(
% 1.68/0.76 sQ252_spl <=> (h1(e10)=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2497,plain,(
% 1.68/0.76 h1(e10)=e22|~sQ252_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2496])).
% 1.68/0.76 fof(f2500,definition,(
% 1.68/0.76 sQ253_spl <=> (h1(e11)=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2501,plain,(
% 1.68/0.76 h1(e11)=e22|~sQ253_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2500])).
% 1.68/0.76 fof(f2513,definition,(
% 1.68/0.76 sQ256_spl <=> (h2(e10)=e20)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2515,plain,(
% 1.68/0.76 ~h2(e10)=e20|sQ256_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2513])).
% 1.68/0.76 fof(f2516,plain,(
% 1.68/0.76 ~sQ179_spl|~sQ256_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f377,f2231,f2513])).
% 1.68/0.76 fof(f2521,definition,(
% 1.68/0.76 sQ258_spl <=> (h2(e12)=e20)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2522,plain,(
% 1.68/0.76 h2(e12)=e20|~sQ258_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2521])).
% 1.68/0.76 fof(f2525,definition,(
% 1.68/0.76 sQ259_spl <=> (h2(e13)=e20)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2526,plain,(
% 1.68/0.76 h2(e13)=e20|~sQ259_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2525])).
% 1.68/0.76 fof(f2530,definition,(
% 1.68/0.76 sQ260_spl <=> (h2(e10)=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2531,plain,(
% 1.68/0.76 h2(e10)=e21|~sQ260_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2530])).
% 1.68/0.76 fof(f2534,definition,(
% 1.68/0.76 sQ261_spl <=> (h2(e11)=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2536,plain,(
% 1.68/0.76 ~h2(e11)=e21|sQ261_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2534])).
% 1.68/0.76 fof(f2537,plain,(
% 1.68/0.76 ~sQ180_spl|~sQ261_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f384,f2234,f2534])).
% 1.68/0.76 fof(f2538,definition,(
% 1.68/0.76 sQ262_spl <=> (h2(e12)=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2539,plain,(
% 1.68/0.76 h2(e12)=e21|~sQ262_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2538])).
% 1.68/0.76 fof(f2542,definition,(
% 1.68/0.76 sQ263_spl <=> (h2(e13)=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2543,plain,(
% 1.68/0.76 h2(e13)=e21|~sQ263_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2542])).
% 1.68/0.76 fof(f2547,definition,(
% 1.68/0.76 sQ264_spl <=> (h2(e10)=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2548,plain,(
% 1.68/0.76 h2(e10)=e22|~sQ264_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2547])).
% 1.68/0.76 fof(f2551,definition,(
% 1.68/0.76 sQ265_spl <=> (h2(e11)=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2552,plain,(
% 1.68/0.76 h2(e11)=e22|~sQ265_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2551])).
% 1.68/0.76 fof(f2555,definition,(
% 1.68/0.76 sQ266_spl <=> (h2(e12)=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2556,plain,(
% 1.68/0.76 h2(e12)=e22|~sQ266_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2555])).
% 1.68/0.76 fof(f2557,plain,(
% 1.68/0.76 ~h2(e12)=e22|sQ266_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2555])).
% 1.68/0.76 fof(f2558,plain,(
% 1.68/0.76 ~sQ181_spl|~sQ266_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f391,f2237,f2555])).
% 1.68/0.76 fof(f2559,definition,(
% 1.68/0.76 sQ267_spl <=> (h2(e13)=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2560,plain,(
% 1.68/0.76 h2(e13)=e22|~sQ267_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2559])).
% 1.68/0.76 fof(f2564,definition,(
% 1.68/0.76 sQ268_spl <=> (h3(e10)=e20)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2565,plain,(
% 1.68/0.76 h3(e10)=e20|~sQ268_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2564])).
% 1.68/0.76 fof(f2568,definition,(
% 1.68/0.76 sQ269_spl <=> (h3(e11)=e20)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2569,plain,(
% 1.68/0.76 h3(e11)=e20|~sQ269_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2568])).
% 1.68/0.76 fof(f2576,definition,(
% 1.68/0.76 sQ271_spl <=> (h3(e13)=e20)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2577,plain,(
% 1.68/0.76 h3(e13)=e20|~sQ271_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2576])).
% 1.68/0.76 fof(f2578,plain,(
% 1.68/0.76 ~h3(e13)=e20|sQ271_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2576])).
% 1.68/0.76 fof(f2579,plain,(
% 1.68/0.76 ~sQ202_spl|~sQ271_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f398,f2304,f2576])).
% 1.68/0.76 fof(f2585,definition,(
% 1.68/0.76 sQ273_spl <=> (h3(e11)=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2586,plain,(
% 1.68/0.76 h3(e11)=e21|~sQ273_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2585])).
% 1.68/0.76 fof(f2589,definition,(
% 1.68/0.76 sQ274_spl <=> (h3(e12)=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2590,plain,(
% 1.68/0.76 h3(e12)=e21|~sQ274_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2589])).
% 1.68/0.76 fof(f2591,plain,(
% 1.68/0.76 ~h3(e12)=e21|sQ274_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2589])).
% 1.68/0.76 fof(f2592,plain,(
% 1.68/0.76 ~sQ203_spl|~sQ274_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f403,f2307,f2589])).
% 1.68/0.76 fof(f2598,definition,(
% 1.68/0.76 sQ276_spl <=> (h3(e10)=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2599,plain,(
% 1.68/0.76 h3(e10)=e22|~sQ276_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2598])).
% 1.68/0.76 fof(f2602,definition,(
% 1.68/0.76 sQ277_spl <=> (h3(e11)=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2604,plain,(
% 1.68/0.76 ~h3(e11)=e22|sQ277_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2602])).
% 1.68/0.76 fof(f2605,plain,(
% 1.68/0.76 ~sQ204_spl|~sQ277_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f408,f2310,f2602])).
% 1.68/0.76 fof(f2606,definition,(
% 1.68/0.76 sQ278_spl <=> (h3(e12)=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2607,plain,(
% 1.68/0.76 h3(e12)=e22|~sQ278_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2606])).
% 1.68/0.76 fof(f2619,definition,(
% 1.68/0.76 sQ281_spl <=> (h4(e11)=e20)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2620,plain,(
% 1.68/0.76 h4(e11)=e20|~sQ281_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2619])).
% 1.68/0.76 fof(f2632,definition,(
% 1.68/0.76 sQ284_spl <=> (h4(e10)=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2633,plain,(
% 1.68/0.76 h4(e10)=e21|~sQ284_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2632])).
% 1.68/0.76 fof(f2636,definition,(
% 1.68/0.76 sQ285_spl <=> (h4(e11)=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2637,plain,(
% 1.68/0.76 h4(e11)=e21|~sQ285_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2636])).
% 1.68/0.76 fof(f2649,definition,(
% 1.68/0.76 sQ288_spl <=> (h4(e10)=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2653,definition,(
% 1.68/0.76 sQ289_spl <=> (h4(e11)=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2654,plain,(
% 1.68/0.76 h4(e11)=e22|~sQ289_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2653])).
% 1.68/0.76 fof(f2666,definition,(
% 1.68/0.76 sQ292_spl <=> (sP20_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2669,definition,(
% 1.68/0.76 sQ293_spl <=> (op1(e11,op1(e11,e10))=e10)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2670,plain,(
% 1.68/0.76 op1(e11,op1(e11,e10))=e10|~sQ293_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2669])).
% 1.68/0.76 fof(f2671,plain,(
% 1.68/0.76 ~op1(e11,op1(e11,e10))=e10|sQ293_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2669])).
% 1.68/0.76 fof(f2673,definition,(
% 1.68/0.76 sQ294_spl <=> (op1(e11,op1(e11,e11))=e11)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2674,plain,(
% 1.68/0.76 op1(e11,op1(e11,e11))=e11|~sQ294_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2673])).
% 1.68/0.76 fof(f2675,plain,(
% 1.68/0.76 ~op1(e11,op1(e11,e11))=e11|sQ294_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2673])).
% 1.68/0.76 fof(f2677,definition,(
% 1.68/0.76 sQ295_spl <=> (op1(e11,op1(e11,e12))=e12)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2679,plain,(
% 1.68/0.76 ~op1(e11,op1(e11,e12))=e12|sQ295_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2677])).
% 1.68/0.76 fof(f2680,plain,(
% 1.68/0.76 ~sQ232_spl|sQ292_spl|~sQ295_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f435,f2402,f2666,f2677])).
% 1.68/0.76 fof(f2696,definition,(
% 1.68/0.76 sQ298_spl <=> (sP22_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2699,definition,(
% 1.68/0.76 sQ299_spl <=> (op2(e21,op2(e21,e20))=e20)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2700,plain,(
% 1.68/0.76 op2(e21,op2(e21,e20))=e20|~sQ299_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2699])).
% 1.68/0.76 fof(f2703,definition,(
% 1.68/0.76 sQ300_spl <=> (op2(e21,op2(e21,e21))=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2704,plain,(
% 1.68/0.76 op2(e21,op2(e21,e21))=e21|~sQ300_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2703])).
% 1.68/0.76 fof(f2705,plain,(
% 1.68/0.76 ~op2(e21,op2(e21,e21))=e21|sQ300_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2703])).
% 1.68/0.76 fof(f2706,plain,(
% 1.68/0.76 ~sQ238_spl|sQ298_spl|~sQ300_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f452,f2432,f2696,f2703])).
% 1.68/0.76 fof(f2707,definition,(
% 1.68/0.76 sQ301_spl <=> (op2(e21,op2(e21,e22))=e22)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2709,plain,(
% 1.68/0.76 ~op2(e21,op2(e21,e22))=e22|sQ301_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2707])).
% 1.68/0.76 fof(f2710,plain,(
% 1.68/0.76 ~sQ238_spl|sQ298_spl|~sQ301_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f453,f2432,f2696,f2707])).
% 1.68/0.76 fof(f2715,plain,(
% 1.68/0.76 sQ238_spl|~sQ298_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f455,f2432,f2696])).
% 1.68/0.76 fof(f2717,definition,(
% 1.68/0.76 sQ303_spl <=> (sP23_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2724,plain,(
% 1.68/0.76 sQ243_spl|~sQ303_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f464,f2453,f2717])).
% 1.68/0.76 fof(f2726,definition,(
% 1.68/0.76 sQ304_spl <=> (op1(e10,op1(e10,e10))=e10)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2728,plain,(
% 1.68/0.76 ~op1(e10,op1(e10,e10))=e10|sQ304_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2726])).
% 1.68/0.76 fof(f2729,plain,(
% 1.68/0.76 ~sQ292_spl|~sQ304_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f467,f2666,f2726])).
% 1.68/0.76 fof(f2752,definition,(
% 1.68/0.76 sQ309_spl <=> (op2(e20,op2(e20,e20))=e20)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2754,plain,(
% 1.68/0.76 ~op2(e20,op2(e20,e20))=e20|sQ309_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2752])).
% 1.68/0.76 fof(f2755,plain,(
% 1.68/0.76 ~sQ298_spl|~sQ309_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f482,f2696,f2752])).
% 1.68/0.76 fof(f2756,definition,(
% 1.68/0.76 sQ310_spl <=> (op2(e20,op2(e20,e21))=e21)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2758,plain,(
% 1.68/0.76 ~op2(e20,op2(e20,e21))=e21|sQ310_spl),
% 1.68/0.76 inference(component_clause,[status(thm)],[f2756])).
% 1.68/0.76 fof(f2769,definition,(
% 1.68/0.76 sQ313_spl <=> (sP25_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2776,plain,(
% 1.68/0.76 sQ303_spl|~sQ313_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f494,f2717,f2769])).
% 1.68/0.76 fof(f2787,definition,(
% 1.68/0.76 sQ315_spl <=> (sP27_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2794,plain,(
% 1.68/0.76 sQ313_spl|~sQ315_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f512,f2769,f2787])).
% 1.68/0.76 fof(f2805,definition,(
% 1.68/0.76 sQ317_spl <=> (sP29_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2812,plain,(
% 1.68/0.76 sQ315_spl|~sQ317_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f530,f2787,f2805])).
% 1.68/0.76 fof(f2823,definition,(
% 1.68/0.76 sQ319_spl <=> (sP31_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2830,plain,(
% 1.68/0.76 sQ317_spl|~sQ319_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f548,f2805,f2823])).
% 1.68/0.76 fof(f2841,definition,(
% 1.68/0.76 sQ321_spl <=> (sP33_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2848,plain,(
% 1.68/0.76 sQ319_spl|~sQ321_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f566,f2823,f2841])).
% 1.68/0.76 fof(f2859,definition,(
% 1.68/0.76 sQ323_spl <=> (sP35_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2866,plain,(
% 1.68/0.76 sQ321_spl|~sQ323_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f584,f2841,f2859])).
% 1.68/0.76 fof(f2877,definition,(
% 1.68/0.76 sQ325_spl <=> (sP37_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2884,plain,(
% 1.68/0.76 sQ323_spl|~sQ325_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f602,f2859,f2877])).
% 1.68/0.76 fof(f2895,definition,(
% 1.68/0.76 sQ327_spl <=> (sP39_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2902,plain,(
% 1.68/0.76 sQ325_spl|~sQ327_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f620,f2877,f2895])).
% 1.68/0.76 fof(f2913,definition,(
% 1.68/0.76 sQ329_spl <=> (sP41_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2920,plain,(
% 1.68/0.76 sQ327_spl|~sQ329_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f638,f2895,f2913])).
% 1.68/0.76 fof(f2931,definition,(
% 1.68/0.76 sQ331_spl <=> (sP43_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2938,plain,(
% 1.68/0.76 sQ329_spl|~sQ331_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f656,f2913,f2931])).
% 1.68/0.76 fof(f2949,definition,(
% 1.68/0.76 sQ333_spl <=> (sP45_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2956,plain,(
% 1.68/0.76 sQ331_spl|~sQ333_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f674,f2931,f2949])).
% 1.68/0.76 fof(f2967,definition,(
% 1.68/0.76 sQ335_spl <=> (sP47_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2974,plain,(
% 1.68/0.76 sQ333_spl|~sQ335_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f692,f2949,f2967])).
% 1.68/0.76 fof(f2985,definition,(
% 1.68/0.76 sQ337_spl <=> (sP49_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f2992,plain,(
% 1.68/0.76 sQ335_spl|~sQ337_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f710,f2967,f2985])).
% 1.68/0.76 fof(f3003,definition,(
% 1.68/0.76 sQ339_spl <=> (sP51_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3010,plain,(
% 1.68/0.76 sQ337_spl|~sQ339_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f728,f2985,f3003])).
% 1.68/0.76 fof(f3021,definition,(
% 1.68/0.76 sQ341_spl <=> (sP53_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3028,plain,(
% 1.68/0.76 sQ339_spl|~sQ341_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f746,f3003,f3021])).
% 1.68/0.76 fof(f3039,definition,(
% 1.68/0.76 sQ343_spl <=> (sP55_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3046,plain,(
% 1.68/0.76 sQ341_spl|~sQ343_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f764,f3021,f3039])).
% 1.68/0.76 fof(f3057,definition,(
% 1.68/0.76 sQ345_spl <=> (sP57_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3064,plain,(
% 1.68/0.76 sQ343_spl|~sQ345_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f782,f3039,f3057])).
% 1.68/0.76 fof(f3075,definition,(
% 1.68/0.76 sQ347_spl <=> (sP59_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3082,plain,(
% 1.68/0.76 sQ345_spl|~sQ347_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f800,f3057,f3075])).
% 1.68/0.76 fof(f3093,definition,(
% 1.68/0.76 sQ349_spl <=> (sP61_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3100,plain,(
% 1.68/0.76 sQ347_spl|~sQ349_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f818,f3075,f3093])).
% 1.68/0.76 fof(f3111,definition,(
% 1.68/0.76 sQ351_spl <=> (sP63_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3118,plain,(
% 1.68/0.76 sQ349_spl|~sQ351_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f836,f3093,f3111])).
% 1.68/0.76 fof(f3129,definition,(
% 1.68/0.76 sQ353_spl <=> (sP65_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3136,plain,(
% 1.68/0.76 sQ351_spl|~sQ353_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f854,f3111,f3129])).
% 1.68/0.76 fof(f3147,definition,(
% 1.68/0.76 sQ355_spl <=> (sP67_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3154,plain,(
% 1.68/0.76 sQ353_spl|~sQ355_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f872,f3129,f3147])).
% 1.68/0.76 fof(f3165,definition,(
% 1.68/0.76 sQ357_spl <=> (sP69_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3172,plain,(
% 1.68/0.76 sQ355_spl|~sQ357_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f890,f3147,f3165])).
% 1.68/0.76 fof(f3183,definition,(
% 1.68/0.76 sQ359_spl <=> (sP71_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3190,plain,(
% 1.68/0.76 sQ357_spl|~sQ359_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f908,f3165,f3183])).
% 1.68/0.76 fof(f3201,definition,(
% 1.68/0.76 sQ361_spl <=> (sP73_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3208,plain,(
% 1.68/0.76 sQ359_spl|~sQ361_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f926,f3183,f3201])).
% 1.68/0.76 fof(f3219,definition,(
% 1.68/0.76 sQ363_spl <=> (sP75_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3226,plain,(
% 1.68/0.76 sQ361_spl|~sQ363_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f944,f3201,f3219])).
% 1.68/0.76 fof(f3237,definition,(
% 1.68/0.76 sQ365_spl <=> (sP77_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3244,plain,(
% 1.68/0.76 sQ363_spl|~sQ365_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f962,f3219,f3237])).
% 1.68/0.76 fof(f3255,definition,(
% 1.68/0.76 sQ367_spl <=> (sP79_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3262,plain,(
% 1.68/0.76 sQ365_spl|~sQ367_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f980,f3237,f3255])).
% 1.68/0.76 fof(f3273,definition,(
% 1.68/0.76 sQ369_spl <=> (sP81_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3280,plain,(
% 1.68/0.76 sQ367_spl|~sQ369_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f998,f3255,f3273])).
% 1.68/0.76 fof(f3291,definition,(
% 1.68/0.76 sQ371_spl <=> (sP83_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3298,plain,(
% 1.68/0.76 sQ369_spl|~sQ371_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1016,f3273,f3291])).
% 1.68/0.76 fof(f3309,definition,(
% 1.68/0.76 sQ373_spl <=> (sP85_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3316,plain,(
% 1.68/0.76 sQ371_spl|~sQ373_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1034,f3291,f3309])).
% 1.68/0.76 fof(f3327,definition,(
% 1.68/0.76 sQ375_spl <=> (sP87_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3334,plain,(
% 1.68/0.76 sQ373_spl|~sQ375_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1052,f3309,f3327])).
% 1.68/0.76 fof(f3345,definition,(
% 1.68/0.76 sQ377_spl <=> (sP89_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3352,plain,(
% 1.68/0.76 sQ375_spl|~sQ377_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1070,f3327,f3345])).
% 1.68/0.76 fof(f3363,definition,(
% 1.68/0.76 sQ379_spl <=> (sP91_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3370,plain,(
% 1.68/0.76 sQ377_spl|~sQ379_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1088,f3345,f3363])).
% 1.68/0.76 fof(f3381,definition,(
% 1.68/0.76 sQ381_spl <=> (sP93_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3388,plain,(
% 1.68/0.76 sQ379_spl|~sQ381_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1106,f3363,f3381])).
% 1.68/0.76 fof(f3399,definition,(
% 1.68/0.76 sQ383_spl <=> (sP95_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3406,plain,(
% 1.68/0.76 sQ381_spl|~sQ383_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1124,f3381,f3399])).
% 1.68/0.76 fof(f3417,definition,(
% 1.68/0.76 sQ385_spl <=> (sP97_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3424,plain,(
% 1.68/0.76 sQ383_spl|~sQ385_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1142,f3399,f3417])).
% 1.68/0.76 fof(f3435,definition,(
% 1.68/0.76 sQ387_spl <=> (sP99_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3442,plain,(
% 1.68/0.76 sQ385_spl|~sQ387_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1160,f3417,f3435])).
% 1.68/0.76 fof(f3453,definition,(
% 1.68/0.76 sQ389_spl <=> (sP101_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3460,plain,(
% 1.68/0.76 sQ387_spl|~sQ389_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1178,f3435,f3453])).
% 1.68/0.76 fof(f3471,definition,(
% 1.68/0.76 sQ391_spl <=> (sP103_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3478,plain,(
% 1.68/0.76 sQ389_spl|~sQ391_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1196,f3453,f3471])).
% 1.68/0.76 fof(f3489,definition,(
% 1.68/0.76 sQ393_spl <=> (sP105_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3496,plain,(
% 1.68/0.76 sQ391_spl|~sQ393_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1214,f3471,f3489])).
% 1.68/0.76 fof(f3507,definition,(
% 1.68/0.76 sQ395_spl <=> (sP107_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3514,plain,(
% 1.68/0.76 sQ393_spl|~sQ395_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1232,f3489,f3507])).
% 1.68/0.76 fof(f3525,definition,(
% 1.68/0.76 sQ397_spl <=> (sP109_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3532,plain,(
% 1.68/0.76 sQ395_spl|~sQ397_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1250,f3507,f3525])).
% 1.68/0.76 fof(f3543,definition,(
% 1.68/0.76 sQ399_spl <=> (sP111_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3550,plain,(
% 1.68/0.76 sQ397_spl|~sQ399_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1268,f3525,f3543])).
% 1.68/0.76 fof(f3561,definition,(
% 1.68/0.76 sQ401_spl <=> (sP113_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3568,plain,(
% 1.68/0.76 sQ399_spl|~sQ401_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1286,f3543,f3561])).
% 1.68/0.76 fof(f3579,definition,(
% 1.68/0.76 sQ403_spl <=> (sP115_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3586,plain,(
% 1.68/0.76 sQ401_spl|~sQ403_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1304,f3561,f3579])).
% 1.68/0.76 fof(f3597,definition,(
% 1.68/0.76 sQ405_spl <=> (sP117_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3604,plain,(
% 1.68/0.76 sQ403_spl|~sQ405_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1322,f3579,f3597])).
% 1.68/0.76 fof(f3615,definition,(
% 1.68/0.76 sQ407_spl <=> (sP119_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3622,plain,(
% 1.68/0.76 sQ405_spl|~sQ407_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1340,f3597,f3615])).
% 1.68/0.76 fof(f3633,definition,(
% 1.68/0.76 sQ409_spl <=> (sP121_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3640,plain,(
% 1.68/0.76 sQ407_spl|~sQ409_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1358,f3615,f3633])).
% 1.68/0.76 fof(f3651,definition,(
% 1.68/0.76 sQ411_spl <=> (sP123_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3658,plain,(
% 1.68/0.76 sQ409_spl|~sQ411_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1376,f3633,f3651])).
% 1.68/0.76 fof(f3669,definition,(
% 1.68/0.76 sQ413_spl <=> (sP125_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3676,plain,(
% 1.68/0.76 sQ411_spl|~sQ413_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1394,f3651,f3669])).
% 1.68/0.76 fof(f3678,definition,(
% 1.68/0.76 sQ414_spl <=> (sP126_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3687,definition,(
% 1.68/0.76 sQ415_spl <=> (sP127_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3694,plain,(
% 1.68/0.76 sQ413_spl|~sQ415_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1412,f3669,f3687])).
% 1.68/0.76 fof(f3696,definition,(
% 1.68/0.76 sQ416_spl <=> (sP128_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3702,plain,(
% 1.68/0.76 ~sQ414_spl|sQ416_spl|sQ34_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1420,f3678,f3696,f1680])).
% 1.68/0.76 fof(f3705,definition,(
% 1.68/0.76 sQ417_spl <=> (sP129_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3712,plain,(
% 1.68/0.76 sQ415_spl|~sQ417_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1430,f3687,f3705])).
% 1.68/0.76 fof(f3714,definition,(
% 1.68/0.76 sQ418_spl <=> (sP130_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3717,plain,(
% 1.68/0.76 ~sQ416_spl|sQ418_spl|sQ4_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1435,f3696,f3714,f1583])).
% 1.68/0.76 fof(f3723,definition,(
% 1.68/0.76 sQ419_spl <=> (sP131_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3730,plain,(
% 1.68/0.76 sQ417_spl|~sQ419_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1448,f3705,f3723])).
% 1.68/0.76 fof(f3732,definition,(
% 1.68/0.76 sQ420_spl <=> (sP132_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3735,plain,(
% 1.68/0.76 ~sQ418_spl|sQ420_spl|sQ4_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1453,f3714,f3732,f1583])).
% 1.68/0.76 fof(f3741,definition,(
% 1.68/0.76 sQ421_spl <=> (sP133_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3748,plain,(
% 1.68/0.76 sQ419_spl|~sQ421_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1466,f3723,f3741])).
% 1.68/0.76 fof(f3750,definition,(
% 1.68/0.76 sQ422_spl <=> (sP134_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition])).
% 1.68/0.76 fof(f3753,plain,(
% 1.68/0.76 ~sQ420_spl|sQ422_spl|sQ4_spl),
% 1.68/0.76 inference(split_clause,[status(thm)],[f1471,f3732,f3750,f1583])).
% 1.68/0.76 fof(f3759,definition,(
% 1.68/0.76 sQ423_spl <=> (sP135_prd)),
% 1.68/0.76 introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition])).
% 1.68/0.77 fof(f3766,plain,(
% 1.68/0.77 sQ421_spl|~sQ423_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f1484,f3741,f3759])).
% 1.68/0.77 fof(f3768,definition,(
% 1.68/0.77 sQ424_spl <=> (sP136_prd)),
% 1.68/0.77 introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition])).
% 1.68/0.77 fof(f3771,plain,(
% 1.68/0.77 ~sQ422_spl|sQ424_spl|sQ4_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f1489,f3750,f3768,f1583])).
% 1.68/0.77 fof(f3777,definition,(
% 1.68/0.77 sQ425_spl <=> (sP137_prd)),
% 1.68/0.77 introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition])).
% 1.68/0.77 fof(f3784,plain,(
% 1.68/0.77 sQ423_spl|~sQ425_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f1502,f3759,f3777])).
% 1.68/0.77 fof(f3786,definition,(
% 1.68/0.77 sQ426_spl <=> (sP138_prd)),
% 1.68/0.77 introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition])).
% 1.68/0.77 fof(f3789,plain,(
% 1.68/0.77 ~sQ424_spl|sQ426_spl|sQ0_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f1507,f3768,f3786,f1570])).
% 1.68/0.77 fof(f3795,definition,(
% 1.68/0.77 sQ427_spl <=> (sP139_prd)),
% 1.68/0.77 introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition])).
% 1.68/0.77 fof(f3802,plain,(
% 1.68/0.77 sQ425_spl|~sQ427_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f1520,f3777,f3795])).
% 1.68/0.77 fof(f3804,definition,(
% 1.68/0.77 sQ428_spl <=> (sP140_prd)),
% 1.68/0.77 introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition])).
% 1.68/0.77 fof(f3807,plain,(
% 1.68/0.77 ~sQ426_spl|sQ428_spl|sQ0_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f1525,f3786,f3804,f1570])).
% 1.68/0.77 fof(f3813,definition,(
% 1.68/0.77 sQ429_spl <=> (sP141_prd)),
% 1.68/0.77 introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition])).
% 1.68/0.77 fof(f3820,plain,(
% 1.68/0.77 sQ427_spl|~sQ429_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f1538,f3795,f3813])).
% 1.68/0.77 fof(f3822,definition,(
% 1.68/0.77 sQ430_spl <=> (sP142_prd)),
% 1.68/0.77 introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition])).
% 1.68/0.77 fof(f3825,plain,(
% 1.68/0.77 ~sQ428_spl|sQ430_spl|sQ0_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f1543,f3804,f3822,f1570])).
% 1.68/0.77 fof(f3831,definition,(
% 1.68/0.77 sQ431_spl <=> (sP143_prd)),
% 1.68/0.77 introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition])).
% 1.68/0.77 fof(f3838,plain,(
% 1.68/0.77 sQ429_spl|~sQ431_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f1556,f3813,f3831])).
% 1.68/0.77 fof(f3840,plain,(
% 1.68/0.77 ~sQ430_spl|sQ0_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f1559,f3822,f1570])).
% 1.68/0.77 fof(f3849,plain,(
% 1.68/0.77 sQ431_spl|~sQ64_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f1569,f3831,f1810])).
% 1.68/0.77 fof(f3850,plain,(
% 1.68/0.77 ~e10=op1(e11,e13)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f270,f150])).
% 1.68/0.77 fof(f3851,plain,(
% 1.68/0.77 ~e10=op1(e11,e12)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f270,f149])).
% 1.68/0.77 fof(f3853,plain,(
% 1.68/0.77 ~e10=op1(e13,e11)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f270,f126])).
% 1.68/0.77 fof(f3854,plain,(
% 1.68/0.77 ~e10=op1(e12,e11)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f270,f125])).
% 1.68/0.77 fof(f3856,plain,(
% 1.68/0.77 e12=op1(op1(e10,e11),op1(e11,e11))),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f270,f271])).
% 1.68/0.77 fof(f3857,plain,(
% 1.68/0.77 e12=op1(op1(e10,e11),e10)),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f270,f3856])).
% 1.68/0.77 fof(f3858,plain,(
% 1.68/0.77 e12=op1(e13,e10)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3864,f3857])).
% 1.68/0.77 fof(f3859,plain,(
% 1.68/0.77 ~e13=op1(e10,e13)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3864,f144])).
% 1.68/0.77 fof(f3860,plain,(
% 1.68/0.77 ~e13=op1(e10,e12)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3864,f143])).
% 1.68/0.77 fof(f3862,plain,(
% 1.68/0.77 ~e13=op1(e13,e11)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3864,f124])).
% 1.68/0.77 fof(f3863,plain,(
% 1.68/0.77 ~e13=op1(e12,e11)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3864,f123])).
% 1.68/0.77 fof(f3864,plain,(
% 1.68/0.77 e13=op1(e10,e11)),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f270,f272])).
% 1.68/0.77 fof(f3865,plain,(
% 1.68/0.77 ~e20=op2(e21,e23)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f273,f198])).
% 1.68/0.77 fof(f3866,plain,(
% 1.68/0.77 ~e20=op2(e21,e22)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f273,f197])).
% 1.68/0.77 fof(f3868,plain,(
% 1.68/0.77 ~e20=op2(e23,e21)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f273,f174])).
% 1.68/0.77 fof(f3869,plain,(
% 1.68/0.77 ~e20=op2(e22,e21)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f273,f173])).
% 1.68/0.77 fof(f3871,plain,(
% 1.68/0.77 e22=op2(op2(e20,e21),op2(e21,e21))),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f273,f274])).
% 1.68/0.77 fof(f3872,plain,(
% 1.68/0.77 e22=op2(op2(e20,e21),e20)),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f273,f3871])).
% 1.68/0.77 fof(f3873,plain,(
% 1.68/0.77 e22=op2(e23,e20)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3879,f3872])).
% 1.68/0.77 fof(f3874,plain,(
% 1.68/0.77 ~e23=op2(e20,e23)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3879,f192])).
% 1.68/0.77 fof(f3876,plain,(
% 1.68/0.77 ~op2(e20,e20)=e23),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3879,f188])).
% 1.68/0.77 fof(f3877,plain,(
% 1.68/0.77 ~e23=op2(e23,e21)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3879,f172])).
% 1.68/0.77 fof(f3878,plain,(
% 1.68/0.77 ~e23=op2(e22,e21)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3879,f171])).
% 1.68/0.77 fof(f3879,plain,(
% 1.68/0.77 e23=op2(e20,e21)),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f273,f275])).
% 1.68/0.77 fof(f3880,plain,(
% 1.68/0.77 ~h1(e10)=op2(e20,e23)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f277,f190])).
% 1.68/0.77 fof(f3882,plain,(
% 1.68/0.77 ~h1(e10)=op2(e23,e20)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f277,f166])).
% 1.68/0.77 fof(f3884,plain,(
% 1.68/0.77 ~h1(e10)=op2(e21,e20)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f277,f164])).
% 1.68/0.77 fof(f3885,plain,(
% 1.68/0.77 h1(e12)=op2(op2(h1(e10),e20),op2(e20,e20))),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f277,f278])).
% 1.68/0.77 fof(f3886,plain,(
% 1.68/0.77 h1(e12)=op2(op2(h1(e10),e20),h1(e10))),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f277,f3885])).
% 1.68/0.77 fof(f3887,plain,(
% 1.68/0.77 h1(e12)=op2(h1(e13),h1(e10))),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3888,f3886])).
% 1.68/0.77 fof(f3888,plain,(
% 1.68/0.77 h1(e13)=op2(h1(e10),e20)),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f277,f279])).
% 1.68/0.77 fof(f3889,plain,(
% 1.68/0.77 h2(e10)=e20),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f273,f281])).
% 1.68/0.77 fof(f3890,plain,(
% 1.68/0.77 h2(e12)=op2(op2(e20,e21),op2(e21,e21))),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f273,f282])).
% 1.68/0.77 fof(f3891,plain,(
% 1.68/0.77 h2(e12)=op2(e23,op2(e21,e21))),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3879,f3890])).
% 1.68/0.77 fof(f3892,plain,(
% 1.68/0.77 ~h2(e12)=op2(e23,e23)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3897,f208])).
% 1.68/0.77 fof(f3893,plain,(
% 1.68/0.77 ~h2(e12)=op2(e23,e22)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3897,f207])).
% 1.68/0.77 fof(f3896,plain,(
% 1.68/0.77 ~op2(e21,e20)=h2(e12)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3897,f168])).
% 1.68/0.77 fof(f3897,plain,(
% 1.68/0.77 h2(e12)=op2(e23,e20)),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f273,f3891])).
% 1.68/0.77 fof(f3898,plain,(
% 1.68/0.77 h2(e13)=op2(e20,e21)),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f273,f283])).
% 1.68/0.77 fof(f3899,plain,(
% 1.68/0.77 h2(e13)=e23),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3879,f3898])).
% 1.68/0.77 fof(f3901,plain,(
% 1.68/0.77 ~op2(e22,e21)=h3(e10)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f285,f203])).
% 1.68/0.77 fof(f3905,plain,(
% 1.68/0.77 ~op2(e20,e22)=h3(e10)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f285,f177])).
% 1.68/0.77 fof(f3906,plain,(
% 1.68/0.77 h3(e12)=op2(op2(h3(e10),e22),op2(e22,e22))),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f285,f286])).
% 1.68/0.77 fof(f3907,plain,(
% 1.68/0.77 h3(e12)=op2(op2(h3(e10),e22),h3(e10))),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f285,f3906])).
% 1.68/0.77 fof(f3908,plain,(
% 1.68/0.77 h3(e12)=op2(h3(e13),h3(e10))),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3909,f3907])).
% 1.68/0.77 fof(f3909,plain,(
% 1.68/0.77 h3(e13)=op2(h3(e10),e22)),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f285,f287])).
% 1.68/0.77 fof(f3910,plain,(
% 1.68/0.77 ~op2(e23,e22)=h4(e10)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f289,f211])).
% 1.68/0.77 fof(f3911,plain,(
% 1.68/0.77 ~op2(e23,e21)=h4(e10)),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f289,f210])).
% 1.68/0.77 fof(f3915,plain,(
% 1.68/0.77 h4(e12)=op2(op2(h4(e10),e23),op2(e23,e23))),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f289,f290])).
% 1.68/0.77 fof(f3916,plain,(
% 1.68/0.77 h4(e12)=op2(op2(h4(e10),e23),h4(e10))),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f289,f3915])).
% 1.68/0.77 fof(f3917,plain,(
% 1.68/0.77 h4(e12)=op2(h4(e13),h4(e10))),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3918,f3916])).
% 1.68/0.77 fof(f3918,plain,(
% 1.68/0.77 h4(e13)=op2(h4(e10),e23)),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f289,f291])).
% 1.68/0.77 fof(f3919,plain,(
% 1.68/0.77 ~h4(op1(e13,e11))=op2(h4(e13),e23)|sQ222_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f288,f2370])).
% 1.68/0.77 fof(f3920,plain,(
% 1.68/0.77 ~h4(op1(e12,e11))=op2(h4(e12),e23)|sQ218_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f288,f2358])).
% 1.68/0.77 fof(f3923,plain,(
% 1.68/0.77 ~h4(e10)=op2(h4(e11),h4(e11))|sQ214_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f270,f2346])).
% 1.68/0.77 fof(f3924,plain,(
% 1.68/0.77 ~h4(e10)=op2(e23,h4(e11))|sQ214_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f288,f3923])).
% 1.68/0.77 fof(f3925,plain,(
% 1.68/0.77 ~h4(e10)=op2(e23,e23)|sQ214_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f288,f3924])).
% 1.68/0.77 fof(f3926,plain,(
% 1.68/0.77 ~h4(e10)=h4(e10)|sQ214_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f289,f3925])).
% 1.68/0.77 fof(f3927,plain,(
% 1.68/0.77 $false|sQ214_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f3926])).
% 1.68/0.77 fof(f3928,plain,(
% 1.68/0.77 sQ214_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f3927])).
% 1.68/0.77 fof(f3930,plain,(
% 1.68/0.77 ~h4(e13)=op2(h4(e10),h4(e11))|sQ210_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3864,f2334])).
% 1.68/0.77 fof(f3931,plain,(
% 1.68/0.77 ~h4(e13)=op2(h4(e10),e23)|sQ210_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f288,f3930])).
% 1.68/0.77 fof(f3932,plain,(
% 1.68/0.77 ~h4(e13)=h4(e13)|sQ210_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3918,f3931])).
% 1.68/0.77 fof(f3933,plain,(
% 1.68/0.77 $false|sQ210_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f3932])).
% 1.68/0.77 fof(f3934,plain,(
% 1.68/0.77 sQ210_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f3933])).
% 1.68/0.77 fof(f3935,plain,(
% 1.68/0.77 ~h3(op1(e13,e11))=op2(h3(e13),e22)|sQ199_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f284,f2297])).
% 1.68/0.77 fof(f3936,plain,(
% 1.68/0.77 ~h3(op1(e12,e11))=op2(h3(e12),e22)|sQ195_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f284,f2285])).
% 1.68/0.77 fof(f3937,plain,(
% 1.68/0.77 ~h3(op1(e11,e13))=op2(e22,h3(e13))|sQ193_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f284,f2279])).
% 1.68/0.77 fof(f3938,plain,(
% 1.68/0.77 ~h3(op1(e11,e12))=op2(e22,h3(e12))|sQ192_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f284,f2276])).
% 1.68/0.77 fof(f3939,plain,(
% 1.68/0.77 ~h3(e10)=op2(h3(e11),h3(e11))|sQ191_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f270,f2273])).
% 1.68/0.77 fof(f3940,plain,(
% 1.68/0.77 ~h3(e10)=op2(e22,h3(e11))|sQ191_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f284,f3939])).
% 1.68/0.77 fof(f3941,plain,(
% 1.68/0.77 ~h3(e10)=op2(e22,e22)|sQ191_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f284,f3940])).
% 1.68/0.77 fof(f3942,plain,(
% 1.68/0.77 ~h3(e10)=h3(e10)|sQ191_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f285,f3941])).
% 1.68/0.77 fof(f3943,plain,(
% 1.68/0.77 $false|sQ191_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f3942])).
% 1.68/0.77 fof(f3944,plain,(
% 1.68/0.77 sQ191_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f3943])).
% 1.68/0.77 fof(f3945,plain,(
% 1.68/0.77 ~h3(op1(e11,e10))=op2(e22,h3(e10))|sQ190_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f284,f2270])).
% 1.68/0.77 fof(f3946,plain,(
% 1.68/0.77 ~h3(e13)=op2(h3(e10),h3(e11))|sQ187_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3864,f2261])).
% 1.68/0.77 fof(f3947,plain,(
% 1.68/0.77 ~h3(e13)=op2(h3(e10),e22)|sQ187_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f284,f3946])).
% 1.68/0.77 fof(f3948,plain,(
% 1.68/0.77 ~h3(e13)=h3(e13)|sQ187_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3909,f3947])).
% 1.68/0.77 fof(f3949,plain,(
% 1.68/0.77 $false|sQ187_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f3948])).
% 1.68/0.77 fof(f3950,plain,(
% 1.68/0.77 sQ187_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f3949])).
% 1.68/0.77 fof(f3955,plain,(
% 1.68/0.77 ~h2(op1(e13,e11))=op2(e23,h2(e11))|sQ176_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3899,f2224])).
% 1.68/0.77 fof(f3956,plain,(
% 1.68/0.77 ~h2(op1(e13,e11))=op2(e23,e21)|sQ176_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f280,f3955])).
% 1.68/0.77 fof(f3957,plain,(
% 1.68/0.77 ~h2(op1(e13,e10))=op2(e23,h2(e10))|sQ175_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3899,f2221])).
% 1.68/0.77 fof(f3958,plain,(
% 1.68/0.77 ~h2(op1(e13,e10))=op2(e23,e20)|sQ175_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3889,f3957])).
% 1.68/0.77 fof(f3959,plain,(
% 1.68/0.77 ~h2(op1(e13,e10))=h2(e12)|sQ175_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3897,f3958])).
% 1.68/0.77 fof(f3961,plain,(
% 1.68/0.77 ~h2(op1(e12,e11))=op2(h2(e12),e21)|sQ172_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f280,f2212])).
% 1.68/0.77 fof(f3962,plain,(
% 1.68/0.77 ~h2(op1(e12,e10))=op2(h2(e12),e20)|sQ171_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3889,f2209])).
% 1.68/0.77 fof(f3966,plain,(
% 1.68/0.77 ~h2(e10)=op2(h2(e11),h2(e11))|sQ168_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f270,f2200])).
% 1.68/0.77 fof(f3967,plain,(
% 1.68/0.77 ~e20=op2(h2(e11),h2(e11))|sQ168_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3889,f3966])).
% 1.68/0.77 fof(f3968,plain,(
% 1.68/0.77 ~e20=op2(e21,h2(e11))|sQ168_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f280,f3967])).
% 1.68/0.77 fof(f3969,plain,(
% 1.68/0.77 ~e20=op2(e21,e21)|sQ168_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f280,f3968])).
% 1.68/0.77 fof(f3970,plain,(
% 1.68/0.77 ~e20=e20|sQ168_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f273,f3969])).
% 1.68/0.77 fof(f3971,plain,(
% 1.68/0.77 $false|sQ168_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f3970])).
% 1.68/0.77 fof(f3972,plain,(
% 1.68/0.77 sQ168_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f3971])).
% 1.68/0.77 fof(f3978,plain,(
% 1.68/0.77 ~h2(e13)=op2(h2(e10),h2(e11))|sQ164_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3864,f2188])).
% 1.68/0.77 fof(f3979,plain,(
% 1.68/0.77 ~e23=op2(h2(e10),h2(e11))|sQ164_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3899,f3978])).
% 1.68/0.77 fof(f3980,plain,(
% 1.68/0.77 ~e23=op2(e20,h2(e11))|sQ164_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3889,f3979])).
% 1.68/0.77 fof(f3981,plain,(
% 1.68/0.77 ~e23=op2(e20,e21)|sQ164_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f280,f3980])).
% 1.68/0.77 fof(f3982,plain,(
% 1.68/0.77 ~e23=e23|sQ164_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3879,f3981])).
% 1.68/0.77 fof(f3983,plain,(
% 1.68/0.77 $false|sQ164_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f3982])).
% 1.68/0.77 fof(f3984,plain,(
% 1.68/0.77 sQ164_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f3983])).
% 1.68/0.77 fof(f3988,plain,(
% 1.68/0.77 ~h1(op1(e13,e11))=op2(h1(e13),e20)|sQ153_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f276,f2151])).
% 1.68/0.77 fof(f3989,plain,(
% 1.68/0.77 ~h1(op1(e12,e11))=op2(h1(e12),e20)|sQ149_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f276,f2139])).
% 1.68/0.77 fof(f3992,plain,(
% 1.68/0.77 ~h1(e10)=op2(h1(e11),h1(e11))|sQ145_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f270,f2127])).
% 1.68/0.77 fof(f3993,plain,(
% 1.68/0.77 ~h1(e10)=op2(e20,h1(e11))|sQ145_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f276,f3992])).
% 1.68/0.77 fof(f3994,plain,(
% 1.68/0.77 ~h1(e10)=op2(e20,e20)|sQ145_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f276,f3993])).
% 1.68/0.77 fof(f3995,plain,(
% 1.68/0.77 ~h1(e10)=h1(e10)|sQ145_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f277,f3994])).
% 1.68/0.77 fof(f3996,plain,(
% 1.68/0.77 $false|sQ145_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f3995])).
% 1.68/0.77 fof(f3997,plain,(
% 1.68/0.77 sQ145_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f3996])).
% 1.68/0.77 fof(f3999,plain,(
% 1.68/0.77 ~h1(e13)=op2(h1(e10),h1(e11))|sQ141_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3864,f2115])).
% 1.68/0.77 fof(f4000,plain,(
% 1.68/0.77 ~h1(e13)=op2(h1(e10),e20)|sQ141_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f276,f3999])).
% 1.68/0.77 fof(f4001,plain,(
% 1.68/0.77 ~h1(e13)=h1(e13)|sQ141_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3888,f4000])).
% 1.68/0.77 fof(f4002,plain,(
% 1.68/0.77 $false|sQ141_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f4001])).
% 1.68/0.77 fof(f4003,plain,(
% 1.68/0.77 sQ141_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4002])).
% 1.68/0.77 fof(f4004,plain,(
% 1.68/0.77 h4(e10)=e22|~sQ126_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f2012,f289])).
% 1.68/0.77 fof(f4006,plain,(
% 1.68/0.77 ~op2(e21,e22)=e22|~sQ94_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1908,f199])).
% 1.68/0.77 fof(f4011,plain,(
% 1.68/0.77 ~op2(e20,e22)=e22|~sQ78_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1856,f193])).
% 1.68/0.77 fof(f4015,plain,(
% 1.68/0.77 ~op2(e22,e21)=e22|~sQ118_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1986,f175])).
% 1.68/0.77 fof(f4016,plain,(
% 1.68/0.77 h2(e12)=e22|~sQ114_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1973,f3897])).
% 1.68/0.77 fof(f4022,plain,(
% 1.68/0.77 e22=e21|~sQ78_spl|~sQ77_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1856,f1853])).
% 1.68/0.77 fof(f4023,plain,(
% 1.68/0.77 $false|~sQ78_spl|~sQ77_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4022,f221])).
% 1.68/0.77 fof(f4024,plain,(
% 1.68/0.77 ~sQ78_spl|~sQ77_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4023])).
% 1.68/0.77 fof(f4025,plain,(
% 1.68/0.77 ~op2(e21,e22)=e21|~sQ121_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1996,f180])).
% 1.68/0.77 fof(f4030,plain,(
% 1.68/0.77 e20=e21|~sQ108_spl|~sQ109_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1954,f1957])).
% 1.68/0.77 fof(f4034,plain,(
% 1.68/0.77 h3(e10)=e23|~sQ107_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1950,f285])).
% 1.68/0.77 fof(f4035,plain,(
% 1.68/0.77 ~op2(e21,e20)=e23|~sQ91_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1898,f195])).
% 1.68/0.77 fof(f4039,plain,(
% 1.68/0.77 e23=e21|~sQ107_spl|~sQ105_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1950,f1944])).
% 1.68/0.77 fof(f4040,plain,(
% 1.68/0.77 $false|~sQ107_spl|~sQ105_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4039,f222])).
% 1.68/0.77 fof(f4041,plain,(
% 1.68/0.77 ~sQ107_spl|~sQ105_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4040])).
% 1.68/0.77 fof(f4045,plain,(
% 1.68/0.77 e23=e21|~sQ99_spl|~sQ97_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1924,f1918])).
% 1.68/0.77 fof(f4046,plain,(
% 1.68/0.77 $false|~sQ99_spl|~sQ97_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4045,f222])).
% 1.68/0.77 fof(f4047,plain,(
% 1.68/0.77 ~sQ99_spl|~sQ97_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4046])).
% 1.68/0.77 fof(f4054,plain,(
% 1.68/0.77 e20=e23|~sQ87_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1885,f273])).
% 1.68/0.77 fof(f4059,plain,(
% 1.68/0.77 e23=e22|~sQ70_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3879,f1830])).
% 1.68/0.77 fof(f4060,plain,(
% 1.68/0.77 $false|~sQ70_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4059,f223])).
% 1.68/0.77 fof(f4061,plain,(
% 1.68/0.77 ~sQ70_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4060])).
% 1.68/0.77 fof(f4065,plain,(
% 1.68/0.77 h1(e10)=e23|~sQ67_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1820,f277])).
% 1.68/0.77 fof(f4075,plain,(
% 1.68/0.77 ~op1(e13,e10)=e12|~sQ62_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1772,f160])).
% 1.68/0.77 fof(f4082,plain,(
% 1.68/0.77 ~op1(e11,e12)=e12|~sQ30_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1668,f151])).
% 1.68/0.77 fof(f4089,plain,(
% 1.68/0.77 ~op1(e10,e12)=e12|~sQ14_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1616,f145])).
% 1.68/0.77 fof(f4096,plain,(
% 1.68/0.77 ~op1(e13,e10)=e12|~sQ54_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1746,f158])).
% 1.68/0.77 fof(f4104,plain,(
% 1.68/0.77 ~op1(e11,e10)=e12|~sQ50_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1733,f120])).
% 1.68/0.77 fof(f4115,plain,(
% 1.68/0.77 ~op1(e12,e10)=e11|~sQ45_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1717,f154])).
% 1.68/0.77 fof(f4116,plain,(
% 1.68/0.77 e12=e11|~sQ14_spl|~sQ13_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1616,f1613])).
% 1.68/0.77 fof(f4117,plain,(
% 1.68/0.77 $false|~sQ14_spl|~sQ13_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4116,f215])).
% 1.68/0.77 fof(f4118,plain,(
% 1.68/0.77 ~sQ14_spl|~sQ13_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4117])).
% 1.68/0.77 fof(f4126,plain,(
% 1.68/0.77 e12=e11|~sQ50_spl|~sQ49_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1733,f1730])).
% 1.68/0.77 fof(f4127,plain,(
% 1.68/0.77 $false|~sQ50_spl|~sQ49_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4126,f215])).
% 1.68/0.77 fof(f4128,plain,(
% 1.68/0.77 ~sQ50_spl|~sQ49_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4127])).
% 1.68/0.77 fof(f4129,plain,(
% 1.68/0.77 e10=e11|~sQ44_spl|~sQ45_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1714,f1717])).
% 1.68/0.77 fof(f4145,plain,(
% 1.68/0.77 ~op1(e11,e10)=e13|~sQ27_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1658,f147])).
% 1.68/0.77 fof(f4163,plain,(
% 1.68/0.77 e13=e11|~sQ43_spl|~sQ41_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1710,f1704])).
% 1.68/0.77 fof(f4164,plain,(
% 1.68/0.77 $false|~sQ43_spl|~sQ41_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4163,f216])).
% 1.68/0.77 fof(f4165,plain,(
% 1.68/0.77 ~sQ43_spl|~sQ41_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4164])).
% 1.68/0.77 fof(f4178,plain,(
% 1.68/0.77 e10=e13|~sQ23_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1645,f270])).
% 1.68/0.77 fof(f4180,plain,(
% 1.68/0.77 ~h3(e13)=op2(e22,h3(e10))|~sQ19_spl|sQ190_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1632,f3945])).
% 1.68/0.77 fof(f4186,plain,(
% 1.68/0.77 e13=e12|~sQ6_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3864,f1590])).
% 1.68/0.77 fof(f4187,plain,(
% 1.68/0.77 $false|~sQ6_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4186,f217])).
% 1.68/0.77 fof(f4188,plain,(
% 1.68/0.77 ~sQ6_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4187])).
% 1.68/0.77 fof(f4200,plain,(
% 1.68/0.77 ~op2(e23,e20)=e22|~sQ120_spl|sQ137_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1993,f2097])).
% 1.68/0.77 fof(f4203,plain,(
% 1.68/0.77 ~op1(e13,e10)=e12|~sQ56_spl|sQ131_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1753,f2067])).
% 1.68/0.77 fof(f4205,plain,(
% 1.68/0.77 ~e23=e23|sQ229_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f288,f2392])).
% 1.68/0.77 fof(f4206,plain,(
% 1.68/0.77 $false|sQ229_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f4205])).
% 1.68/0.77 fof(f4207,plain,(
% 1.68/0.77 sQ229_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4206])).
% 1.68/0.77 fof(f4209,plain,(
% 1.68/0.77 ~e23=e23|sQ185_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3899,f2254])).
% 1.68/0.77 fof(f4210,plain,(
% 1.68/0.77 $false|sQ185_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f4209])).
% 1.68/0.77 fof(f4211,plain,(
% 1.68/0.77 sQ185_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4210])).
% 1.68/0.77 fof(f4216,plain,(
% 1.68/0.77 e13=e10|~sQ59_spl|~sQ56_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1762,f1753])).
% 1.68/0.77 fof(f4217,plain,(
% 1.68/0.77 e23=e20|~sQ111_spl|~sQ108_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1963,f1954])).
% 1.68/0.77 fof(f4222,plain,(
% 1.68/0.77 op2(e21,e20)=e21|~sQ84_spl|~sQ300_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1876,f2704])).
% 1.68/0.77 fof(f4227,plain,(
% 1.68/0.77 op1(e11,e10)=e11|~sQ20_spl|~sQ294_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1636,f2674])).
% 1.68/0.77 fof(f4228,plain,(
% 1.68/0.77 e10=e11|~sQ16_spl|~sQ20_spl|~sQ294_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1623,f4227])).
% 1.68/0.77 fof(f4229,plain,(
% 1.68/0.77 $false|~sQ16_spl|~sQ20_spl|~sQ294_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4228,f212])).
% 1.68/0.77 fof(f4230,plain,(
% 1.68/0.77 ~sQ16_spl|~sQ20_spl|~sQ294_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4229])).
% 1.68/0.77 fof(f4234,plain,(
% 1.68/0.77 e23=e22|~sQ289_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f288,f2654])).
% 1.68/0.77 fof(f4235,plain,(
% 1.68/0.77 $false|~sQ289_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4234,f223])).
% 1.68/0.77 fof(f4236,plain,(
% 1.68/0.77 ~sQ289_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4235])).
% 1.68/0.77 fof(f4244,plain,(
% 1.68/0.77 e23=e21|~sQ285_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f288,f2637])).
% 1.68/0.77 fof(f4245,plain,(
% 1.68/0.77 $false|~sQ285_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4244,f222])).
% 1.68/0.77 fof(f4246,plain,(
% 1.68/0.77 ~sQ285_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4245])).
% 1.68/0.77 fof(f4250,plain,(
% 1.68/0.77 e23=e20|~sQ281_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f288,f2620])).
% 1.68/0.77 fof(f4251,plain,(
% 1.68/0.77 $false|~sQ281_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4250,f220])).
% 1.68/0.77 fof(f4252,plain,(
% 1.68/0.77 ~sQ281_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4251])).
% 1.68/0.77 fof(f4260,plain,(
% 1.68/0.77 e22=e21|~sQ278_spl|~sQ274_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f2607,f2590])).
% 1.68/0.77 fof(f4261,plain,(
% 1.68/0.77 $false|~sQ278_spl|~sQ274_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4260,f221])).
% 1.68/0.77 fof(f4262,plain,(
% 1.68/0.77 ~sQ278_spl|~sQ274_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4261])).
% 1.68/0.77 fof(f4263,plain,(
% 1.68/0.77 e22=e21|~sQ273_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f284,f2586])).
% 1.68/0.77 fof(f4264,plain,(
% 1.68/0.77 $false|~sQ273_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4263,f221])).
% 1.68/0.77 fof(f4265,plain,(
% 1.68/0.77 ~sQ273_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4264])).
% 1.68/0.77 fof(f4269,plain,(
% 1.68/0.77 e20=e22|~sQ269_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f2569,f284])).
% 1.68/0.77 fof(f4270,plain,(
% 1.68/0.77 e23=e22|~sQ267_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3899,f2560])).
% 1.68/0.77 fof(f4271,plain,(
% 1.68/0.77 $false|~sQ267_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4270,f223])).
% 1.68/0.77 fof(f4272,plain,(
% 1.68/0.77 ~sQ267_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4271])).
% 1.68/0.77 fof(f4274,plain,(
% 1.68/0.77 e22=e21|~sQ265_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f2552,f280])).
% 1.68/0.77 fof(f4275,plain,(
% 1.68/0.77 e20=e22|~sQ264_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3889,f2548])).
% 1.68/0.77 fof(f4276,plain,(
% 1.68/0.77 $false|~sQ264_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4275,f219])).
% 1.68/0.77 fof(f4277,plain,(
% 1.68/0.77 ~sQ264_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4276])).
% 1.68/0.77 fof(f4278,plain,(
% 1.68/0.77 e23=e21|~sQ263_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3899,f2543])).
% 1.68/0.77 fof(f4279,plain,(
% 1.68/0.77 $false|~sQ263_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4278,f222])).
% 1.68/0.77 fof(f4280,plain,(
% 1.68/0.77 ~sQ263_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4279])).
% 1.68/0.77 fof(f4281,plain,(
% 1.68/0.77 e22=e21|~sQ266_spl|~sQ262_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f2556,f2539])).
% 1.68/0.77 fof(f4282,plain,(
% 1.68/0.77 $false|~sQ266_spl|~sQ262_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4281,f221])).
% 1.68/0.77 fof(f4283,plain,(
% 1.68/0.77 ~sQ266_spl|~sQ262_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4282])).
% 1.68/0.77 fof(f4284,plain,(
% 1.68/0.77 e20=e21|~sQ260_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3889,f2531])).
% 1.68/0.77 fof(f4285,plain,(
% 1.68/0.77 $false|~sQ260_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4284,f218])).
% 1.68/0.77 fof(f4286,plain,(
% 1.68/0.77 ~sQ260_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4285])).
% 1.68/0.77 fof(f4287,plain,(
% 1.68/0.77 e23=e20|~sQ259_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3899,f2526])).
% 1.68/0.77 fof(f4288,plain,(
% 1.68/0.77 $false|~sQ259_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4287,f220])).
% 1.68/0.77 fof(f4289,plain,(
% 1.68/0.77 ~sQ259_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4288])).
% 1.68/0.77 fof(f4293,plain,(
% 1.68/0.77 e20=e22|~sQ253_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f276,f2501])).
% 1.68/0.77 fof(f4294,plain,(
% 1.68/0.77 $false|~sQ253_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4293,f219])).
% 1.68/0.77 fof(f4295,plain,(
% 1.68/0.77 ~sQ253_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4294])).
% 1.68/0.77 fof(f4303,plain,(
% 1.68/0.77 e20=e21|~sQ249_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f276,f2484])).
% 1.68/0.77 fof(f4304,plain,(
% 1.68/0.77 $false|~sQ249_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4303,f218])).
% 1.68/0.77 fof(f4305,plain,(
% 1.68/0.77 ~sQ249_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4304])).
% 1.68/0.77 fof(f4310,plain,(
% 1.68/0.77 ~e10=e10|~sQ52_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1740,f3853])).
% 1.68/0.77 fof(f4311,plain,(
% 1.68/0.77 $false|~sQ52_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f4310])).
% 1.68/0.77 fof(f4312,plain,(
% 1.68/0.77 ~sQ52_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4311])).
% 1.68/0.77 fof(f4314,plain,(
% 1.68/0.77 $false|~sQ56_spl|sQ131_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3858,f4203])).
% 1.68/0.77 fof(f4315,plain,(
% 1.68/0.77 ~sQ56_spl|sQ131_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4314])).
% 1.68/0.77 fof(f4318,plain,(
% 1.68/0.77 ~e20=e20|~sQ116_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1980,f3868])).
% 1.68/0.77 fof(f4319,plain,(
% 1.68/0.77 $false|~sQ116_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f4318])).
% 1.68/0.77 fof(f4320,plain,(
% 1.68/0.77 ~sQ116_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4319])).
% 1.68/0.77 fof(f4322,plain,(
% 1.68/0.77 $false|~sQ120_spl|sQ137_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3873,f4200])).
% 1.68/0.77 fof(f4323,plain,(
% 1.68/0.77 ~sQ120_spl|sQ137_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4322])).
% 1.68/0.77 fof(f4325,plain,(
% 1.68/0.77 h1(e12)=op2(e20,h1(e10))|~sQ247_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f2475,f3887])).
% 1.68/0.77 fof(f4338,plain,(
% 1.68/0.77 ~op2(e20,e22)=e20|~sQ268_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f2565,f3905])).
% 1.68/0.77 fof(f4343,plain,(
% 1.68/0.77 ~e23=h4(e10)|~sQ123_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f2002,f3910])).
% 1.68/0.77 fof(f4354,plain,(
% 1.68/0.77 $false|~sQ119_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1989,f3877])).
% 1.68/0.77 fof(f4355,plain,(
% 1.68/0.77 ~sQ119_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4354])).
% 1.68/0.77 fof(f4356,plain,(
% 1.68/0.77 $false|~sQ55_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1749,f3862])).
% 1.68/0.77 fof(f4357,plain,(
% 1.68/0.77 ~sQ55_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4356])).
% 1.68/0.77 fof(f4366,plain,(
% 1.68/0.77 ~op2(e20,e23)=e21|sQ310_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3879,f2758])).
% 1.68/0.77 fof(f4393,plain,(
% 1.68/0.77 h1(e10)=op2(h1(e11),h1(e11))|~sQ20_spl|~sQ145_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1636,f2126])).
% 1.68/0.77 fof(f4394,plain,(
% 1.68/0.77 h1(e10)=op2(e20,h1(e11))|~sQ20_spl|~sQ145_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f276,f4393])).
% 1.68/0.77 fof(f4395,plain,(
% 1.68/0.77 h1(e10)=op2(e20,e20)|~sQ20_spl|~sQ145_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f276,f4394])).
% 1.68/0.77 fof(f4410,plain,(
% 1.68/0.77 ~sQ90_spl|~sQ94_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4006,f1894,f1907])).
% 1.68/0.77 fof(f4413,plain,(
% 1.68/0.77 h4(e10)=e21|~sQ125_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f2009,f289])).
% 1.68/0.77 fof(f4416,plain,(
% 1.68/0.77 $false|sQ310_spl|~sQ77_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1853,f4366])).
% 1.68/0.77 fof(f4417,plain,(
% 1.68/0.77 sQ310_spl|~sQ77_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4416])).
% 1.68/0.77 fof(f4419,plain,(
% 1.68/0.77 ~sQ89_spl|~sQ121_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4025,f1891,f1995])).
% 1.68/0.77 fof(f4424,plain,(
% 1.68/0.77 $false|~sQ108_spl|~sQ109_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4030,f218])).
% 1.68/0.77 fof(f4425,plain,(
% 1.68/0.77 ~sQ108_spl|~sQ109_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4424])).
% 1.68/0.77 fof(f4435,plain,(
% 1.68/0.77 $false|~sQ100_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1928,f3869])).
% 1.68/0.77 fof(f4436,plain,(
% 1.68/0.77 ~sQ100_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4435])).
% 1.68/0.77 fof(f4438,plain,(
% 1.68/0.77 e20=e22|~sQ86_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f273,f1882])).
% 1.68/0.77 fof(f4439,plain,(
% 1.68/0.77 $false|~sQ86_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4438,f219])).
% 1.68/0.77 fof(f4440,plain,(
% 1.68/0.77 ~sQ86_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4439])).
% 1.68/0.77 fof(f4442,plain,(
% 1.68/0.77 e23=e20|~sQ68_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3879,f1824])).
% 1.68/0.77 fof(f4443,plain,(
% 1.68/0.77 $false|~sQ68_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4442,f220])).
% 1.68/0.77 fof(f4444,plain,(
% 1.68/0.77 ~sQ68_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4443])).
% 1.68/0.77 fof(f4447,plain,(
% 1.68/0.77 ~e21=op2(e22,e20)|~sQ81_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1866,f167])).
% 1.68/0.77 fof(f4459,plain,(
% 1.68/0.77 ~sQ26_spl|~sQ30_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4082,f1654,f1667])).
% 1.68/0.77 fof(f4481,plain,(
% 1.68/0.77 ~e13=op1(e13,e13)|~sQ47_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1723,f139])).
% 1.68/0.77 fof(f4532,plain,(
% 1.68/0.77 $false|~sQ44_spl|~sQ45_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4129,f212])).
% 1.68/0.77 fof(f4533,plain,(
% 1.68/0.77 ~sQ44_spl|~sQ45_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4532])).
% 1.68/0.77 fof(f4546,plain,(
% 1.68/0.77 e10=e11|~sQ40_spl|~sQ41_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1701,f1704])).
% 1.68/0.77 fof(f4547,plain,(
% 1.68/0.77 $false|~sQ40_spl|~sQ41_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4546,f212])).
% 1.68/0.77 fof(f4548,plain,(
% 1.68/0.77 ~sQ40_spl|~sQ41_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4547])).
% 1.68/0.77 fof(f4553,plain,(
% 1.68/0.77 ~e11=op1(e10,e12)|~sQ1_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1574,f141])).
% 1.68/0.77 fof(f4554,plain,(
% 1.68/0.77 $false|~sQ45_spl|~sQ33_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1678,f4115])).
% 1.68/0.77 fof(f4555,plain,(
% 1.68/0.77 ~sQ45_spl|~sQ33_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4554])).
% 1.68/0.77 fof(f4562,plain,(
% 1.68/0.77 $false|~sQ36_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1688,f3854])).
% 1.68/0.77 fof(f4563,plain,(
% 1.68/0.77 ~sQ36_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4562])).
% 1.68/0.77 fof(f4565,plain,(
% 1.68/0.77 e10=e12|~sQ20_spl|~sQ22_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1636,f1642])).
% 1.68/0.77 fof(f4566,plain,(
% 1.68/0.77 $false|~sQ20_spl|~sQ22_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4565,f213])).
% 1.68/0.77 fof(f4567,plain,(
% 1.68/0.77 ~sQ20_spl|~sQ22_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4566])).
% 1.68/0.77 fof(f4569,plain,(
% 1.68/0.77 e13=e10|~sQ4_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3864,f1584])).
% 1.68/0.77 fof(f4570,plain,(
% 1.68/0.77 $false|~sQ4_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4569,f214])).
% 1.68/0.77 fof(f4571,plain,(
% 1.68/0.77 ~sQ4_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4570])).
% 1.68/0.77 fof(f4573,plain,(
% 1.68/0.77 ~op1(e10,e10)=e11|~sQ17_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1626,f116])).
% 1.68/0.77 fof(f4577,plain,(
% 1.68/0.77 ~e11=op1(e11,e12)|~sQ17_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1626,f147])).
% 1.68/0.77 fof(f4594,plain,(
% 1.68/0.77 ~e22=op2(e22,e21)|~sQ98_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1921,f200])).
% 1.68/0.77 fof(f4596,plain,(
% 1.68/0.77 $false|~sQ79_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1859,f3874])).
% 1.68/0.77 fof(f4597,plain,(
% 1.68/0.77 ~sQ79_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4596])).
% 1.68/0.77 fof(f4598,plain,(
% 1.68/0.77 ~op2(e21,e20)=e21|sQ300_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f273,f2705])).
% 1.68/0.77 fof(f4604,plain,(
% 1.68/0.77 ~e10=op1(e10,e13)|~sQ8_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1597,f145])).
% 1.68/0.77 fof(f4607,plain,(
% 1.68/0.77 ~e12=op1(e12,e11)|~sQ34_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1681,f152])).
% 1.68/0.77 fof(f4612,plain,(
% 1.68/0.77 $false|~sQ15_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1619,f3859])).
% 1.68/0.77 fof(f4613,plain,(
% 1.68/0.77 ~sQ15_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4612])).
% 1.68/0.77 fof(f4630,plain,(
% 1.68/0.77 ~h3(e13)=e20|~sQ268_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f4632,f4338])).
% 1.68/0.77 fof(f4632,plain,(
% 1.68/0.77 h3(e13)=op2(e20,e22)|~sQ268_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f2565,f3909])).
% 1.68/0.77 fof(f4637,plain,(
% 1.68/0.77 $false|~sQ269_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4269,f219])).
% 1.68/0.77 fof(f4638,plain,(
% 1.68/0.77 ~sQ269_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4637])).
% 1.68/0.77 fof(f4647,plain,(
% 1.68/0.77 ~e21=e21|sQ261_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f280,f2536])).
% 1.68/0.77 fof(f4648,plain,(
% 1.68/0.77 $false|sQ261_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f4647])).
% 1.68/0.77 fof(f4649,plain,(
% 1.68/0.77 sQ261_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4648])).
% 1.68/0.77 fof(f4650,plain,(
% 1.68/0.77 $false|~sQ265_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4274,f221])).
% 1.68/0.77 fof(f4651,plain,(
% 1.68/0.77 ~sQ265_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4650])).
% 1.68/0.77 fof(f4668,plain,(
% 1.68/0.77 ~op1(e13,e11)=e11|~sQ53_spl|sQ130_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1743,f2063])).
% 1.68/0.77 fof(f4669,plain,(
% 1.68/0.77 ~e11=e11|~sQ53_spl|sQ130_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1743,f4668])).
% 1.68/0.77 fof(f4670,plain,(
% 1.68/0.77 $false|~sQ53_spl|sQ130_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f4669])).
% 1.68/0.77 fof(f4671,plain,(
% 1.68/0.77 ~sQ53_spl|sQ130_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4670])).
% 1.68/0.77 fof(f4673,plain,(
% 1.68/0.77 e12=e10|~sQ48_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1727,f3858])).
% 1.68/0.77 fof(f4674,plain,(
% 1.68/0.77 $false|~sQ48_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4673,f213])).
% 1.68/0.77 fof(f4675,plain,(
% 1.68/0.77 ~sQ48_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4674])).
% 1.68/0.77 fof(f4677,plain,(
% 1.68/0.77 ~op2(e23,e21)=e21|~sQ117_spl|sQ136_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1983,f2093])).
% 1.68/0.77 fof(f4678,plain,(
% 1.68/0.77 ~e21=e21|~sQ117_spl|sQ136_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1983,f4677])).
% 1.68/0.77 fof(f4679,plain,(
% 1.68/0.77 $false|~sQ117_spl|sQ136_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f4678])).
% 1.68/0.77 fof(f4680,plain,(
% 1.68/0.77 ~sQ117_spl|sQ136_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4679])).
% 1.68/0.77 fof(f4690,plain,(
% 1.68/0.77 sQ284_spl|~sQ125_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4413,f2632,f2008])).
% 1.68/0.77 fof(f4693,plain,(
% 1.68/0.77 $false|~sQ103_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1937,f3878])).
% 1.68/0.77 fof(f4694,plain,(
% 1.68/0.77 ~sQ103_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4693])).
% 1.68/0.77 fof(f4695,plain,(
% 1.68/0.77 ~e22=op2(e22,e23)|~sQ102_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1934,f204])).
% 1.68/0.77 fof(f4698,plain,(
% 1.68/0.77 $false|~sQ87_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4054,f220])).
% 1.68/0.77 fof(f4699,plain,(
% 1.68/0.77 ~sQ87_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4698])).
% 1.68/0.77 fof(f4701,plain,(
% 1.68/0.77 e22=e23|~sQ115_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1976,f3873])).
% 1.68/0.77 fof(f4707,plain,(
% 1.68/0.77 ~op2(e21,e22)=e21|~sQ93_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1905,f199])).
% 1.68/0.77 fof(f4710,plain,(
% 1.68/0.77 e23=e21|~sQ69_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3879,f1827])).
% 1.68/0.77 fof(f4711,plain,(
% 1.68/0.77 $false|~sQ69_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4710,f222])).
% 1.68/0.77 fof(f4712,plain,(
% 1.68/0.77 ~sQ69_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4711])).
% 1.68/0.77 fof(f4714,plain,(
% 1.68/0.77 e21=op2(e20,e20)|~sQ248_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f2480,f277])).
% 1.68/0.77 fof(f4721,plain,(
% 1.68/0.77 ~h1(e10)=h2(e12)),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3897,f3882])).
% 1.68/0.77 fof(f4730,plain,(
% 1.68/0.77 ~sQ63_spl|~sQ47_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4481,f1774,f1722])).
% 1.68/0.77 fof(f4731,plain,(
% 1.68/0.77 ~e11=op1(e13,e13)|~sQ53_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1743,f162])).
% 1.68/0.77 fof(f4735,plain,(
% 1.68/0.77 ~h3(op1(e13,e10))=h3(e12)|sQ198_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3908,f2294])).
% 1.68/0.77 fof(f4742,plain,(
% 1.68/0.77 $false|~sQ24_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1649,f3851])).
% 1.68/0.77 fof(f4743,plain,(
% 1.68/0.77 ~sQ24_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4742])).
% 1.68/0.77 fof(f4746,plain,(
% 1.68/0.77 ~e10=op1(e13,e12)|~sQ8_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1597,f130])).
% 1.68/0.77 fof(f4750,plain,(
% 1.68/0.77 $false|~sQ39_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1697,f3863])).
% 1.68/0.77 fof(f4751,plain,(
% 1.68/0.77 ~sQ39_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4750])).
% 1.68/0.77 fof(f4763,plain,(
% 1.68/0.77 $false|~sQ23_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4178,f214])).
% 1.68/0.77 fof(f4764,plain,(
% 1.68/0.77 ~sQ23_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4763])).
% 1.68/0.77 fof(f4765,plain,(
% 1.68/0.77 ~op1(e11,e10)=e11|sQ294_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f270,f2675])).
% 1.68/0.77 fof(f4781,plain,(
% 1.68/0.77 h3(e10)=op2(h3(e11),h3(e11))|~sQ191_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f270,f2272])).
% 1.68/0.77 fof(f4782,plain,(
% 1.68/0.77 h4(e10)=op2(h4(e11),h4(e11))|~sQ214_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f270,f2345])).
% 1.68/0.77 fof(f4783,plain,(
% 1.68/0.77 h4(e10)=op2(e23,h4(e11))|~sQ214_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f288,f4782])).
% 1.68/0.77 fof(f4784,plain,(
% 1.68/0.77 h4(e10)=op2(e23,e23)|~sQ214_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f288,f4783])).
% 1.68/0.77 fof(f4786,plain,(
% 1.68/0.77 ~e12=op1(e12,e12)|~sQ38_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1694,f155])).
% 1.68/0.77 fof(f4788,plain,(
% 1.68/0.77 ~h3(e12)=op2(h3(e12),e22)|~sQ38_spl|sQ195_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1694,f3936])).
% 1.68/0.77 fof(f4810,plain,(
% 1.68/0.77 ~op1(e11,e10)=e11|~sQ29_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1665,f148])).
% 1.68/0.77 fof(f4811,plain,(
% 1.68/0.77 ~op1(e11,e12)=e11|~sQ29_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1665,f151])).
% 1.68/0.77 fof(f4816,plain,(
% 1.68/0.77 e13=e11|~sQ5_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3864,f1587])).
% 1.68/0.77 fof(f4817,plain,(
% 1.68/0.77 $false|~sQ5_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4816,f216])).
% 1.68/0.77 fof(f4818,plain,(
% 1.68/0.77 ~sQ5_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4817])).
% 1.68/0.77 fof(f4855,plain,(
% 1.68/0.77 ~h2(e11)=op2(e23,e21)|~sQ53_spl|sQ176_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1743,f3956])).
% 1.68/0.77 fof(f4856,plain,(
% 1.68/0.77 ~e21=op2(e23,e21)|~sQ53_spl|sQ176_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f280,f4855])).
% 1.68/0.77 fof(f4858,plain,(
% 1.68/0.77 e22=e21|~sQ102_spl|~sQ101_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1934,f1931])).
% 1.68/0.77 fof(f4859,plain,(
% 1.68/0.77 $false|~sQ102_spl|~sQ101_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4858,f221])).
% 1.68/0.77 fof(f4860,plain,(
% 1.68/0.77 ~sQ102_spl|~sQ101_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4859])).
% 1.68/0.77 fof(f4861,plain,(
% 1.68/0.77 ~sQ74_spl|~sQ78_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4011,f1842,f1855])).
% 1.68/0.77 fof(f4875,plain,(
% 1.68/0.77 ~h1(e11)=op2(h1(e13),e20)|~sQ53_spl|sQ153_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1743,f3988])).
% 1.68/0.77 fof(f4876,plain,(
% 1.68/0.77 ~e20=op2(h1(e13),e20)|~sQ53_spl|sQ153_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f276,f4875])).
% 1.68/0.77 fof(f4877,plain,(
% 1.68/0.77 ~e20=op2(e20,e20)|~sQ247_spl|~sQ53_spl|sQ153_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f2475,f4876])).
% 1.68/0.77 fof(f4880,plain,(
% 1.68/0.77 ~h4(e11)=op2(h4(e13),e23)|~sQ53_spl|sQ222_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1743,f3919])).
% 1.68/0.77 fof(f4881,plain,(
% 1.68/0.77 ~e23=op2(h4(e13),e23)|~sQ53_spl|sQ222_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f288,f4880])).
% 1.68/0.77 fof(f4891,plain,(
% 1.68/0.77 ~e22=h3(e10)|~sQ102_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1934,f3901])).
% 1.68/0.77 fof(f4892,plain,(
% 1.68/0.77 $false|~sQ102_spl|~sQ276_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2599,f4891])).
% 1.68/0.77 fof(f4893,plain,(
% 1.68/0.77 ~sQ102_spl|~sQ276_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4892])).
% 1.68/0.77 fof(f4897,plain,(
% 1.68/0.77 h3(e10)=op2(h3(e11),e22)|~sQ191_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f284,f4781])).
% 1.68/0.77 fof(f4910,plain,(
% 1.68/0.77 ~h2(e12)=op2(h2(e12),e21)|~sQ38_spl|sQ172_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1694,f3961])).
% 1.68/0.77 fof(f4926,plain,(
% 1.68/0.77 op1(e13,e13)=e12|~sQ59_spl|~sQ131_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f1762,f2066])).
% 1.68/0.77 fof(f4927,plain,(
% 1.68/0.77 $false|~sQ59_spl|~sQ56_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4216,f214])).
% 1.68/0.77 fof(f4928,plain,(
% 1.68/0.77 ~sQ59_spl|~sQ56_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4927])).
% 1.68/0.77 fof(f4929,plain,(
% 1.68/0.77 ~sQ1_spl|~sQ17_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4573,f1573,f1625])).
% 1.68/0.77 fof(f4933,plain,(
% 1.68/0.77 ~sQ25_spl|~sQ17_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4577,f1651,f1625])).
% 1.68/0.77 fof(f4943,plain,(
% 1.68/0.77 ~sQ38_spl|~sQ34_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4607,f1693,f1680])).
% 1.68/0.77 fof(f4952,plain,(
% 1.68/0.77 e12=e13|~sQ51_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1736,f3858])).
% 1.68/0.77 fof(f4953,plain,(
% 1.68/0.77 $false|~sQ51_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4952,f217])).
% 1.68/0.77 fof(f4954,plain,(
% 1.68/0.77 ~sQ51_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4953])).
% 1.68/0.77 fof(f4955,plain,(
% 1.68/0.77 ~h2(e12)=h4(e10)|~sQ214_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f4784,f3892])).
% 1.68/0.77 fof(f4956,plain,(
% 1.68/0.77 ~op2(e23,h4(e10))=e23|~sQ214_spl|sQ138_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f4784,f2101])).
% 1.68/0.77 fof(f4958,plain,(
% 1.68/0.77 ~sQ110_spl|~sQ102_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4695,f1959,f1933])).
% 1.68/0.77 fof(f4976,plain,(
% 1.68/0.77 ~sQ97_spl|~sQ81_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4447,f1917,f1865])).
% 1.68/0.77 fof(f4978,plain,(
% 1.68/0.77 $false|sQ300_spl|~sQ81_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1866,f4598])).
% 1.68/0.77 fof(f4979,plain,(
% 1.68/0.77 sQ300_spl|~sQ81_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f4978])).
% 1.68/0.77 fof(f4996,plain,(
% 1.68/0.77 h2(e12)=e22),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f3873,f3897])).
% 1.68/0.77 fof(f5021,plain,(
% 1.68/0.77 ~sQ19_spl|~sQ27_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4145,f1631,f1657])).
% 1.68/0.77 fof(f5026,plain,(
% 1.68/0.77 ~sQ42_spl|~sQ38_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4786,f1706,f1693])).
% 1.68/0.77 fof(f5045,plain,(
% 1.68/0.77 ~op2(e23,e21)=e21|~sQ284_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f2633,f3911])).
% 1.68/0.77 fof(f5070,plain,(
% 1.68/0.77 h3(e10)=op2(e22,e22)|~sQ191_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f284,f4897])).
% 1.68/0.77 fof(f5117,plain,(
% 1.68/0.77 ~e12=op1(e12,e13)|~sQ38_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1694,f156])).
% 1.68/0.77 fof(f5128,plain,(
% 1.68/0.77 ~h2(e12)=h2(e12)|sQ175_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3858,f3959])).
% 1.68/0.77 fof(f5133,plain,(
% 1.68/0.77 ~h3(e12)=h3(e12)|sQ198_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3858,f4735])).
% 1.68/0.77 fof(f5138,plain,(
% 1.68/0.77 ~h4(e12)=op2(h4(e13),h4(e10))|sQ221_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3858,f2367])).
% 1.68/0.77 fof(f5140,plain,(
% 1.68/0.77 ~e12=op1(e13,e12)),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3858,f159])).
% 1.68/0.77 fof(f5143,plain,(
% 1.68/0.77 ~op1(e13,e12)=e10|sQ129_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3858,f2059])).
% 1.68/0.77 fof(f5144,plain,(
% 1.68/0.77 ~e12=op1(e13,e13)),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3858,f160])).
% 1.68/0.77 fof(f5151,plain,(
% 1.68/0.77 e20=e21|~sQ85_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f273,f1879])).
% 1.68/0.77 fof(f5152,plain,(
% 1.68/0.77 $false|~sQ85_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f5151,f218])).
% 1.68/0.77 fof(f5153,plain,(
% 1.68/0.77 ~sQ85_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f5152])).
% 1.68/0.77 fof(f5159,plain,(
% 1.68/0.77 ~sQ102_spl|~sQ118_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4015,f1933,f1985])).
% 1.68/0.77 fof(f5162,plain,(
% 1.68/0.77 e22=e21|~sQ113_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3873,f1970])).
% 1.68/0.77 fof(f5163,plain,(
% 1.68/0.77 $false|~sQ113_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f5162,f221])).
% 1.68/0.77 fof(f5164,plain,(
% 1.68/0.77 ~sQ113_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f5163])).
% 1.68/0.77 fof(f5168,plain,(
% 1.68/0.77 e20=e21|~sQ96_spl|~sQ97_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1915,f1918])).
% 1.68/0.77 fof(f5169,plain,(
% 1.68/0.77 $false|~sQ96_spl|~sQ97_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f5168,f218])).
% 1.68/0.77 fof(f5170,plain,(
% 1.68/0.77 ~sQ96_spl|~sQ97_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f5169])).
% 1.68/0.77 fof(f5183,plain,(
% 1.68/0.77 ~sQ102_spl|~sQ98_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4594,f1933,f1920])).
% 1.68/0.77 fof(f5195,plain,(
% 1.68/0.77 ~e21=op2(e21,e22)|~sQ73_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1840,f176])).
% 1.68/0.77 fof(f5196,plain,(
% 1.68/0.77 ~e21=e21|~sQ89_spl|~sQ73_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1892,f5195])).
% 1.68/0.77 fof(f5197,plain,(
% 1.68/0.77 $false|~sQ89_spl|~sQ73_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f5196])).
% 1.68/0.77 fof(f5198,plain,(
% 1.68/0.77 ~sQ89_spl|~sQ73_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f5197])).
% 1.68/0.77 fof(f5202,plain,(
% 1.68/0.77 sQ288_spl|~sQ126_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4004,f2649,f2011])).
% 1.68/0.77 fof(f5206,plain,(
% 1.68/0.77 ~h4(e12)=op2(h4(e12),e23)|~sQ38_spl|sQ218_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1694,f3920])).
% 1.68/0.77 fof(f5214,plain,(
% 1.68/0.77 $false|sQ266_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4996,f2557])).
% 1.68/0.77 fof(f5215,plain,(
% 1.68/0.77 sQ266_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f5214])).
% 1.68/0.77 fof(f5217,plain,(
% 1.68/0.77 h1(e10)=e21|~sQ65_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1814,f277])).
% 1.68/0.77 fof(f5218,plain,(
% 1.68/0.77 $false|sQ248_spl|~sQ65_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f5217,f2481])).
% 1.68/0.77 fof(f5219,plain,(
% 1.68/0.77 sQ248_spl|~sQ65_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f5218])).
% 1.68/0.77 fof(f5220,plain,(
% 1.68/0.77 $false|sQ129_spl|~sQ56_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1753,f5143])).
% 1.68/0.77 fof(f5221,plain,(
% 1.68/0.77 sQ129_spl|~sQ56_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f5220])).
% 1.68/0.77 fof(f5222,plain,(
% 1.68/0.77 ~op1(e13,e13)=e13|~sQ63_spl|sQ132_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1775,f2071])).
% 1.68/0.77 fof(f5223,plain,(
% 1.68/0.77 ~e13=e13|~sQ63_spl|sQ132_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1775,f5222])).
% 1.68/0.77 fof(f5224,plain,(
% 1.68/0.77 $false|~sQ63_spl|sQ132_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f5223])).
% 1.68/0.77 fof(f5225,plain,(
% 1.68/0.77 ~sQ63_spl|sQ132_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f5224])).
% 1.68/0.77 fof(f5234,plain,(
% 1.68/0.77 ~sQ61_spl|~sQ53_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4731,f1768,f1742])).
% 1.68/0.77 fof(f5252,plain,(
% 1.68/0.77 ~h1(e12)=op2(h1(e13),h1(e10))|sQ152_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f3858,f2148])).
% 1.68/0.77 fof(f5266,plain,(
% 1.68/0.77 ~sQ117_spl|~sQ284_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f5045,f1982,f2632])).
% 1.68/0.77 fof(f5285,plain,(
% 1.68/0.77 ~sQ12_spl|~sQ8_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4604,f1609,f1596])).
% 1.68/0.77 fof(f5288,plain,(
% 1.68/0.77 ~sQ56_spl|~sQ8_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4746,f1752,f1596])).
% 1.68/0.77 fof(f5289,plain,(
% 1.68/0.77 e12=e11|~sQ38_spl|~sQ37_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f1694,f1691])).
% 1.68/0.77 fof(f5290,plain,(
% 1.68/0.77 $false|~sQ38_spl|~sQ37_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f5289,f215])).
% 1.68/0.77 fof(f5291,plain,(
% 1.68/0.77 ~sQ38_spl|~sQ37_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f5290])).
% 1.68/0.77 fof(f5295,plain,(
% 1.68/0.77 ~sQ10_spl|~sQ14_spl),
% 1.68/0.77 inference(split_clause,[status(thm)],[f4089,f1602,f1615])).
% 1.68/0.77 fof(f5315,plain,(
% 1.68/0.77 $false|sQ294_spl|~sQ17_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1626,f4765])).
% 1.68/0.77 fof(f5316,plain,(
% 1.68/0.77 sQ294_spl|~sQ17_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f5315])).
% 1.68/0.77 fof(f5335,plain,(
% 1.68/0.77 $false|sQ175_spl),
% 1.68/0.77 inference(trivial_equality_resolution,[status(thm)],[f5128])).
% 1.68/0.77 fof(f5336,plain,(
% 1.68/0.77 sQ175_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f5335])).
% 1.68/0.77 fof(f5338,plain,(
% 1.68/0.77 e23=e20|~sQ127_spl|~sQ124_spl),
% 1.68/0.77 inference(forward_demodulation,[status(thm)],[f2015,f2006])).
% 1.68/0.77 fof(f5339,plain,(
% 1.68/0.77 $false|~sQ127_spl|~sQ124_spl),
% 1.68/0.77 inference(forward_subsumption_resolution,[status(thm)],[f5338,f220])).
% 1.68/0.77 fof(f5340,plain,(
% 1.68/0.77 ~sQ127_spl|~sQ124_spl),
% 1.68/0.77 inference(contradiction_clause,[status(thm)],[f5339])).
% 1.68/0.77 fof(f5376,plain,(
% 1.68/0.77 ~h2(op1(e12,e10))=op2(e22,e20)|~sQ114_spl|sQ171_spl),
% 1.68/0.77 inference(backward_demodulation,[status(thm)],[f4016,f3962])).
% 1.68/0.78 fof(f5412,plain,(
% 1.68/0.78 ~e22=op2(e23,e22)|~sQ114_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4016,f3893])).
% 1.68/0.78 fof(f5413,plain,(
% 1.68/0.78 ~e22=e22|~sQ122_spl|~sQ114_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1999,f5412])).
% 1.68/0.78 fof(f5414,plain,(
% 1.68/0.78 $false|~sQ122_spl|~sQ114_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f5413])).
% 1.68/0.78 fof(f5415,plain,(
% 1.68/0.78 ~sQ122_spl|~sQ114_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5414])).
% 1.68/0.78 fof(f5430,plain,(
% 1.68/0.78 ~e20=op2(e23,e22)|~sQ72_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1837,f178])).
% 1.68/0.78 fof(f5461,plain,(
% 1.68/0.78 ~e12=e12|~sQ54_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f3858,f4096])).
% 1.68/0.78 fof(f5462,plain,(
% 1.68/0.78 $false|~sQ54_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f5461])).
% 1.68/0.78 fof(f5463,plain,(
% 1.68/0.78 ~sQ54_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5462])).
% 1.68/0.78 fof(f5485,plain,(
% 1.68/0.78 ~sQ25_spl|~sQ29_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f4811,f1651,f1664])).
% 1.68/0.78 fof(f5503,plain,(
% 1.68/0.78 ~sQ50_spl|~sQ62_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f4075,f1732,f1771])).
% 1.68/0.78 fof(f5525,plain,(
% 1.68/0.78 h4(e10)=e23|~sQ127_spl|~sQ214_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2015,f4784])).
% 1.68/0.78 fof(f5526,plain,(
% 1.68/0.78 $false|sQ228_spl|~sQ127_spl|~sQ214_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f5525,f2388])).
% 1.68/0.78 fof(f5527,plain,(
% 1.68/0.78 sQ228_spl|~sQ127_spl|~sQ214_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5526])).
% 1.68/0.78 fof(f5534,plain,(
% 1.68/0.78 ~op2(e22,e20)=e20|~sQ96_spl|sQ239_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1915,f2437])).
% 1.68/0.78 fof(f5535,plain,(
% 1.68/0.78 ~e20=e20|~sQ96_spl|sQ239_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1915,f5534])).
% 1.68/0.78 fof(f5536,plain,(
% 1.68/0.78 $false|~sQ96_spl|sQ239_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f5535])).
% 1.68/0.78 fof(f5537,plain,(
% 1.68/0.78 ~sQ96_spl|sQ239_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5536])).
% 1.68/0.78 fof(f5538,plain,(
% 1.68/0.78 ~op2(e22,e22)=e21|~sQ102_spl|sQ240_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1934,f2441])).
% 1.68/0.78 fof(f5543,plain,(
% 1.68/0.78 ~e10=op1(e12,e10)|~sQ0_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1571,f117])).
% 1.68/0.78 fof(f5548,plain,(
% 1.68/0.78 ~e10=op1(e11,e10)|~sQ0_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1571,f116])).
% 1.68/0.78 fof(f5549,plain,(
% 1.68/0.78 e10=e11|~sQ21_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f270,f1639])).
% 1.68/0.78 fof(f5550,plain,(
% 1.68/0.78 $false|~sQ21_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f5549,f212])).
% 1.68/0.78 fof(f5551,plain,(
% 1.68/0.78 ~sQ21_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5550])).
% 1.68/0.78 fof(f5567,plain,(
% 1.68/0.78 ~e11=op1(e10,e13)|~sQ9_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1600,f145])).
% 1.68/0.78 fof(f5585,plain,(
% 1.68/0.78 ~sQ46_spl|~sQ38_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5117,f1719,f1693])).
% 1.68/0.78 fof(f5586,plain,(
% 1.68/0.78 ~e22=op2(h2(e12),e21)|~sQ38_spl|sQ172_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4996,f4910])).
% 1.68/0.78 fof(f5587,plain,(
% 1.68/0.78 ~e22=op2(e22,e21)|~sQ38_spl|sQ172_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4996,f5586])).
% 1.68/0.78 fof(f5588,plain,(
% 1.68/0.78 ~e22=e22|~sQ102_spl|~sQ38_spl|sQ172_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1934,f5587])).
% 1.68/0.78 fof(f5589,plain,(
% 1.68/0.78 $false|~sQ102_spl|~sQ38_spl|sQ172_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f5588])).
% 1.68/0.78 fof(f5590,plain,(
% 1.68/0.78 ~sQ102_spl|~sQ38_spl|sQ172_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5589])).
% 1.68/0.78 fof(f5601,plain,(
% 1.68/0.78 ~op1(e11,e11)=e10|~sQ294_spl|sQ293_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f5606,f2671])).
% 1.68/0.78 fof(f5606,plain,(
% 1.68/0.78 op1(e11,e10)=e11|~sQ294_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f270,f2674])).
% 1.68/0.78 fof(f5616,plain,(
% 1.68/0.78 e22=e20|~sQ112_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1967,f3873])).
% 1.68/0.78 fof(f5636,plain,(
% 1.68/0.78 $false|~sQ92_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1902,f3865])).
% 1.68/0.78 fof(f5637,plain,(
% 1.68/0.78 ~sQ92_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5636])).
% 1.68/0.78 fof(f5652,plain,(
% 1.68/0.78 ~e22=h4(e10)|~sQ214_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4996,f4955])).
% 1.68/0.78 fof(f5664,plain,(
% 1.68/0.78 ~h1(e10)=e22),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4996,f4721])).
% 1.68/0.78 fof(f5683,plain,(
% 1.68/0.78 $false|~sQ58_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1759,f5140])).
% 1.68/0.78 fof(f5684,plain,(
% 1.68/0.78 ~sQ58_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5683])).
% 1.68/0.78 fof(f5690,plain,(
% 1.68/0.78 ~e11=op1(e13,e12)|~sQ53_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1743,f161])).
% 1.68/0.78 fof(f5692,plain,(
% 1.68/0.78 ~sQ117_spl|~sQ53_spl|sQ176_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f4856,f1982,f1742,f2222])).
% 1.68/0.78 fof(f5695,plain,(
% 1.68/0.78 op1(e13,e10)=e12|~sQ129_spl|~sQ131_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f5704,f2066])).
% 1.68/0.78 fof(f5704,plain,(
% 1.68/0.78 op1(e13,e12)=e10|~sQ129_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f3858,f2058])).
% 1.68/0.78 fof(f5740,plain,(
% 1.68/0.78 h4(e13)=op2(e23,e23)|~sQ127_spl|~sQ214_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f5525,f3918])).
% 1.68/0.78 fof(f5742,plain,(
% 1.68/0.78 ~op2(e23,e23)=e23|~sQ127_spl|~sQ214_spl|sQ138_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f5525,f4956])).
% 1.68/0.78 fof(f5757,plain,(
% 1.68/0.78 e20=e22|~sQ258_spl|~sQ114_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2522,f4016])).
% 1.68/0.78 fof(f5758,plain,(
% 1.68/0.78 $false|~sQ258_spl|~sQ114_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f5757,f219])).
% 1.68/0.78 fof(f5759,plain,(
% 1.68/0.78 ~sQ258_spl|~sQ114_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5758])).
% 1.68/0.78 fof(f5760,plain,(
% 1.68/0.78 ~sQ120_spl|~sQ72_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5430,f1992,f1836])).
% 1.68/0.78 fof(f5762,plain,(
% 1.68/0.78 ~sQ13_spl|~sQ9_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5567,f1612,f1599])).
% 1.68/0.78 fof(f5775,plain,(
% 1.68/0.78 $false|~sQ59_spl|~sQ131_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f4926,f5144])).
% 1.68/0.78 fof(f5776,plain,(
% 1.68/0.78 ~sQ59_spl|~sQ131_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5775])).
% 1.68/0.78 fof(f5778,plain,(
% 1.68/0.78 ~sQ17_spl|~sQ29_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f4810,f1625,f1664])).
% 1.68/0.78 fof(f5795,plain,(
% 1.68/0.78 op1(e13,e10)=e13|~sQ60_spl|~sQ132_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1766,f2070])).
% 1.68/0.78 fof(f5796,plain,(
% 1.68/0.78 ~op1(e10,e13)=e10|~sQ60_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1766,f136])).
% 1.68/0.78 fof(f5797,plain,(
% 1.68/0.78 ~op1(e12,e13)=e10|~sQ60_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1766,f139])).
% 1.68/0.78 fof(f5825,plain,(
% 1.68/0.78 $false|~sQ111_spl|~sQ108_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f4217,f220])).
% 1.68/0.78 fof(f5826,plain,(
% 1.68/0.78 ~sQ111_spl|~sQ108_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5825])).
% 1.68/0.78 fof(f5829,plain,(
% 1.68/0.78 ~sQ105_spl|~sQ102_spl|sQ240_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5538,f1943,f1933,f2439])).
% 1.68/0.78 fof(f5831,plain,(
% 1.68/0.78 e20=e22|~sQ72_spl|~sQ74_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1837,f1843])).
% 1.68/0.78 fof(f5832,plain,(
% 1.68/0.78 $false|~sQ72_spl|~sQ74_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f5831,f219])).
% 1.68/0.78 fof(f5833,plain,(
% 1.68/0.78 ~sQ72_spl|~sQ74_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5832])).
% 1.68/0.78 fof(f5843,plain,(
% 1.68/0.78 e23=e22|~sQ95_spl|~sQ94_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1911,f1908])).
% 1.68/0.78 fof(f5844,plain,(
% 1.68/0.78 $false|~sQ95_spl|~sQ94_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f5843,f223])).
% 1.68/0.78 fof(f5845,plain,(
% 1.68/0.78 ~sQ95_spl|~sQ94_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5844])).
% 1.68/0.78 fof(f5857,plain,(
% 1.68/0.78 h1(e10)=e22|~sQ66_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1817,f277])).
% 1.68/0.78 fof(f5858,plain,(
% 1.68/0.78 $false|~sQ66_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f5857,f5664])).
% 1.68/0.78 fof(f5859,plain,(
% 1.68/0.78 ~sQ66_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5858])).
% 1.68/0.78 fof(f5860,plain,(
% 1.68/0.78 ~h1(e10)=e23|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4395,f3876])).
% 1.68/0.78 fof(f5874,plain,(
% 1.68/0.78 ~sQ20_spl|~sQ294_spl|sQ293_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5601,f1635,f2673,f2669])).
% 1.68/0.78 fof(f5882,plain,(
% 1.68/0.78 e10=e12|~sQ60_spl|~sQ62_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1766,f1772])).
% 1.68/0.78 fof(f5883,plain,(
% 1.68/0.78 $false|~sQ60_spl|~sQ62_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f5882,f213])).
% 1.68/0.78 fof(f5884,plain,(
% 1.68/0.78 ~sQ60_spl|~sQ62_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5883])).
% 1.68/0.78 fof(f5887,plain,(
% 1.68/0.78 ~sQ57_spl|~sQ53_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5690,f1755,f1742])).
% 1.68/0.78 fof(f5895,plain,(
% 1.68/0.78 ~op2(e21,e20)=e22),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f4996,f3896])).
% 1.68/0.78 fof(f5899,plain,(
% 1.68/0.78 ~e20=e20|sQ256_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f3889,f2515])).
% 1.68/0.78 fof(f5900,plain,(
% 1.68/0.78 $false|sQ256_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f5899])).
% 1.68/0.78 fof(f5901,plain,(
% 1.68/0.78 sQ256_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5900])).
% 1.68/0.78 fof(f5904,plain,(
% 1.68/0.78 sQ51_spl|~sQ60_spl|~sQ132_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5795,f1735,f1765,f2069])).
% 1.68/0.78 fof(f5905,plain,(
% 1.68/0.78 ~sQ12_spl|~sQ60_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5796,f1609,f1765])).
% 1.68/0.78 fof(f5906,plain,(
% 1.68/0.78 ~sQ44_spl|~sQ60_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5797,f1713,f1765])).
% 1.68/0.78 fof(f5919,plain,(
% 1.68/0.78 ~h1(e12)=op2(h1(e12),e20)|~sQ38_spl|sQ149_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1694,f3989])).
% 1.68/0.78 fof(f5953,plain,(
% 1.68/0.78 $false|~sQ115_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f4701,f223])).
% 1.68/0.78 fof(f5954,plain,(
% 1.68/0.78 ~sQ115_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5953])).
% 1.68/0.78 fof(f5970,plain,(
% 1.68/0.78 $false|sQ205_spl|~sQ107_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f4034,f2315])).
% 1.68/0.78 fof(f5971,plain,(
% 1.68/0.78 sQ205_spl|~sQ107_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f5970])).
% 1.68/0.78 fof(f5972,plain,(
% 1.68/0.78 h3(e10)=e20|~sQ104_spl|~sQ191_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1941,f5070])).
% 1.68/0.78 fof(f5974,plain,(
% 1.68/0.78 ~h3(op1(e10,e12))=op2(h3(e10),e21)|~sQ274_spl|sQ188_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f2590,f2264])).
% 1.68/0.78 fof(f5980,plain,(
% 1.68/0.78 ~h3(op1(e12,e12))=op2(h3(e12),e21)|~sQ274_spl|sQ196_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f2590,f2288])).
% 1.68/0.78 fof(f5986,plain,(
% 1.68/0.78 ~sQ89_spl|~sQ93_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f4707,f1891,f1904])).
% 1.68/0.78 fof(f6000,plain,(
% 1.68/0.78 ~sQ288_spl|~sQ214_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5652,f2649,f2344])).
% 1.68/0.78 fof(f6012,plain,(
% 1.68/0.78 ~sQ32_spl|~sQ0_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5543,f1674,f1570])).
% 1.68/0.78 fof(f6014,plain,(
% 1.68/0.78 ~sQ16_spl|~sQ0_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5548,f1622,f1570])).
% 1.68/0.78 fof(f6019,plain,(
% 1.68/0.78 ~h3(op1(e11,e12))=op2(e22,e21)|~sQ274_spl|sQ192_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2590,f3938])).
% 1.68/0.78 fof(f6020,plain,(
% 1.68/0.78 ~h3(op1(e11,e12))=e22|~sQ102_spl|~sQ274_spl|sQ192_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1934,f6019])).
% 1.68/0.78 fof(f6041,plain,(
% 1.68/0.78 ~sQ9_spl|~sQ1_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f4553,f1599,f1573])).
% 1.68/0.78 fof(f6051,plain,(
% 1.68/0.78 ~sQ18_spl|~sQ50_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f4104,f1628,f1732])).
% 1.68/0.78 fof(f6056,plain,(
% 1.68/0.78 ~e22=e22|~sQ82_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1869,f5895])).
% 1.68/0.78 fof(f6057,plain,(
% 1.68/0.78 $false|~sQ82_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f6056])).
% 1.68/0.78 fof(f6058,plain,(
% 1.68/0.78 ~sQ82_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6057])).
% 1.68/0.78 fof(f6096,plain,(
% 1.68/0.78 ~sQ64_spl|~sQ247_spl|~sQ53_spl|sQ153_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f4877,f1810,f2474,f1742,f2149])).
% 1.68/0.78 fof(f6105,plain,(
% 1.68/0.78 ~sQ228_spl|~sQ123_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f4343,f2386,f2001])).
% 1.68/0.78 fof(f6118,plain,(
% 1.68/0.78 $false|~sQ112_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f5616,f219])).
% 1.68/0.78 fof(f6119,plain,(
% 1.68/0.78 ~sQ112_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6118])).
% 1.68/0.78 fof(f6123,plain,(
% 1.68/0.78 ~h3(e11)=op2(h3(e13),e22)|~sQ53_spl|sQ199_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1743,f3935])).
% 1.68/0.78 fof(f6124,plain,(
% 1.68/0.78 ~e22=op2(h3(e13),e22)|~sQ53_spl|sQ199_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f284,f6123])).
% 1.68/0.78 fof(f6139,plain,(
% 1.68/0.78 e21=e20|~sQ64_spl|~sQ248_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1811,f4714])).
% 1.68/0.78 fof(f6140,plain,(
% 1.68/0.78 $false|~sQ64_spl|~sQ248_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f6139,f218])).
% 1.68/0.78 fof(f6141,plain,(
% 1.68/0.78 ~sQ64_spl|~sQ248_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6140])).
% 1.68/0.78 fof(f6149,plain,(
% 1.68/0.78 ~op2(e20,e20)=e20|~sQ64_spl|sQ309_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1811,f2754])).
% 1.68/0.78 fof(f6150,plain,(
% 1.68/0.78 ~e20=e20|~sQ64_spl|sQ309_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1811,f6149])).
% 1.68/0.78 fof(f6151,plain,(
% 1.68/0.78 $false|~sQ64_spl|sQ309_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f6150])).
% 1.68/0.78 fof(f6152,plain,(
% 1.68/0.78 ~sQ64_spl|sQ309_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6151])).
% 1.68/0.78 fof(f6175,plain,(
% 1.68/0.78 ~op1(e10,e10)=e10|~sQ0_spl|sQ304_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1571,f2728])).
% 1.68/0.78 fof(f6184,plain,(
% 1.68/0.78 ~h2(e11)=op2(e22,e20)|~sQ33_spl|~sQ114_spl|sQ171_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1678,f5376])).
% 1.68/0.78 fof(f6185,plain,(
% 1.68/0.78 ~e21=op2(e22,e20)|~sQ33_spl|~sQ114_spl|sQ171_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f280,f6184])).
% 1.68/0.78 fof(f6223,plain,(
% 1.68/0.78 ~h3(e10)=op2(h3(e10),h3(e10))|~sQ0_spl|sQ186_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1571,f2258])).
% 1.68/0.78 fof(f6262,plain,(
% 1.68/0.78 $false|sQ159_spl|~sQ67_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f4065,f2169])).
% 1.68/0.78 fof(f6263,plain,(
% 1.68/0.78 sQ159_spl|~sQ67_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6262])).
% 1.68/0.78 fof(f6270,plain,(
% 1.68/0.78 ~h3(e12)=op2(e21,e22)|~sQ274_spl|~sQ38_spl|sQ195_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f2590,f4788])).
% 1.68/0.78 fof(f6276,plain,(
% 1.68/0.78 e20=e22|~sQ76_spl|~sQ78_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1850,f1856])).
% 1.68/0.78 fof(f6277,plain,(
% 1.68/0.78 $false|~sQ76_spl|~sQ78_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f6276,f219])).
% 1.68/0.78 fof(f6278,plain,(
% 1.68/0.78 ~sQ76_spl|~sQ78_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6277])).
% 1.68/0.78 fof(f6279,plain,(
% 1.68/0.78 ~e22=e22|sQ277_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f284,f2604])).
% 1.68/0.78 fof(f6280,plain,(
% 1.68/0.78 $false|sQ277_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f6279])).
% 1.68/0.78 fof(f6281,plain,(
% 1.68/0.78 sQ277_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6280])).
% 1.68/0.78 fof(f6289,plain,(
% 1.68/0.78 ~sQ0_spl|sQ304_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f6175,f1570,f2726])).
% 1.68/0.78 fof(f6296,plain,(
% 1.68/0.78 ~h3(op1(e12,e10))=op2(e21,h3(e10))|~sQ274_spl|sQ194_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2590,f2282])).
% 1.68/0.78 fof(f6298,plain,(
% 1.68/0.78 ~h3(op1(e12,e13))=op2(e21,h3(e13))|~sQ274_spl|sQ197_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2590,f2291])).
% 1.68/0.78 fof(f6300,plain,(
% 1.68/0.78 ~h3(op1(e13,e12))=op2(h3(e13),e21)|~sQ274_spl|sQ200_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2590,f2300])).
% 1.68/0.78 fof(f6302,plain,(
% 1.68/0.78 ~e10=op1(e13,e12)|~sQ40_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1701,f133])).
% 1.68/0.78 fof(f6313,plain,(
% 1.68/0.78 sQ81_spl|~sQ84_spl|~sQ300_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f4222,f1865,f1875,f2703])).
% 1.68/0.78 fof(f6330,plain,(
% 1.68/0.78 ~sQ159_spl|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5860,f2167,f1635,f2125])).
% 1.68/0.78 fof(f6332,plain,(
% 1.68/0.78 ~e21=op2(e21,e22)|~sQ274_spl|~sQ38_spl|sQ195_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2590,f6270])).
% 1.68/0.78 fof(f6340,plain,(
% 1.68/0.78 h1(e11)=op2(h1(e13),h1(e11))|~sQ53_spl|~sQ153_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1743,f2150])).
% 1.68/0.78 fof(f6341,plain,(
% 1.68/0.78 e20=op2(h1(e13),h1(e11))|~sQ53_spl|~sQ153_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f276,f6340])).
% 1.68/0.78 fof(f6342,plain,(
% 1.68/0.78 e20=op2(h1(e13),e20)|~sQ53_spl|~sQ153_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f276,f6341])).
% 1.68/0.78 fof(f6368,plain,(
% 1.68/0.78 $false|~sQ40_spl|~sQ56_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1753,f6302])).
% 1.68/0.78 fof(f6369,plain,(
% 1.68/0.78 ~sQ40_spl|~sQ56_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6368])).
% 1.68/0.78 fof(f6373,plain,(
% 1.68/0.78 $false|~sQ11_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1606,f3860])).
% 1.68/0.78 fof(f6374,plain,(
% 1.68/0.78 ~sQ11_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6373])).
% 1.68/0.78 fof(f6391,plain,(
% 1.68/0.78 e23=e21|~sQ95_spl|~sQ93_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1911,f1905])).
% 1.68/0.78 fof(f6392,plain,(
% 1.68/0.78 $false|~sQ95_spl|~sQ93_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f6391,f222])).
% 1.68/0.78 fof(f6393,plain,(
% 1.68/0.78 ~sQ95_spl|~sQ93_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6392])).
% 1.68/0.78 fof(f6415,plain,(
% 1.68/0.78 sQ268_spl|~sQ104_spl|~sQ191_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5972,f2564,f1940,f2271])).
% 1.68/0.78 fof(f6427,plain,(
% 1.68/0.78 sQ50_spl|~sQ129_spl|~sQ131_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5695,f1732,f2057,f2065])).
% 1.68/0.78 fof(f6437,plain,(
% 1.68/0.78 $false|~sQ252_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f2497,f5664])).
% 1.68/0.78 fof(f6438,plain,(
% 1.68/0.78 ~sQ252_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6437])).
% 1.68/0.78 fof(f6440,plain,(
% 1.68/0.78 ~sQ83_spl|~sQ91_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f4035,f1871,f1897])).
% 1.68/0.78 fof(f6454,plain,(
% 1.68/0.78 h1(e13)=op2(e20,e20)|~sQ64_spl|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f6456,f3888])).
% 1.68/0.78 fof(f6456,plain,(
% 1.68/0.78 h1(e10)=e20|~sQ64_spl|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1811,f4395])).
% 1.68/0.78 fof(f6466,plain,(
% 1.68/0.78 e21=op2(h1(e13),h1(e10))|~sQ250_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2488,f3887])).
% 1.68/0.78 fof(f6467,plain,(
% 1.68/0.78 e21=op2(h1(e13),e20)|~sQ64_spl|~sQ20_spl|~sQ145_spl|~sQ250_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f6456,f6466])).
% 1.68/0.78 fof(f6468,plain,(
% 1.68/0.78 e21=e20|~sQ53_spl|~sQ153_spl|~sQ64_spl|~sQ20_spl|~sQ145_spl|~sQ250_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f6342,f6467])).
% 1.68/0.78 fof(f6469,plain,(
% 1.68/0.78 $false|~sQ53_spl|~sQ153_spl|~sQ64_spl|~sQ20_spl|~sQ145_spl|~sQ250_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f6468,f218])).
% 1.68/0.78 fof(f6470,plain,(
% 1.68/0.78 ~sQ53_spl|~sQ153_spl|~sQ64_spl|~sQ20_spl|~sQ145_spl|~sQ250_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6469])).
% 1.68/0.78 fof(f6471,plain,(
% 1.68/0.78 ~h1(e12)=op2(h1(e13),e20)|~sQ64_spl|~sQ20_spl|~sQ145_spl|sQ152_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f6456,f5252])).
% 1.68/0.78 fof(f6472,plain,(
% 1.68/0.78 ~h1(e12)=e20|~sQ53_spl|~sQ153_spl|~sQ64_spl|~sQ20_spl|~sQ145_spl|sQ152_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f6342,f6471])).
% 1.68/0.78 fof(f6490,plain,(
% 1.68/0.78 e23=e20|~sQ83_spl|~sQ80_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1872,f1863])).
% 1.68/0.78 fof(f6491,plain,(
% 1.68/0.78 $false|~sQ83_spl|~sQ80_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f6490,f220])).
% 1.68/0.78 fof(f6492,plain,(
% 1.68/0.78 ~sQ83_spl|~sQ80_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6491])).
% 1.68/0.78 fof(f6496,plain,(
% 1.68/0.78 op2(e21,e23)=e20|~sQ83_spl|~sQ299_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1872,f2700])).
% 1.68/0.78 fof(f6497,plain,(
% 1.68/0.78 ~h3(op1(e12,e12))=op2(e21,e21)|~sQ274_spl|sQ196_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2590,f5980])).
% 1.68/0.78 fof(f6498,plain,(
% 1.68/0.78 ~h3(op1(e12,e12))=e20|~sQ274_spl|sQ196_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f273,f6497])).
% 1.68/0.78 fof(f6509,plain,(
% 1.68/0.78 ~h3(e11)=op2(e21,h3(e10))|~sQ33_spl|~sQ274_spl|sQ194_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1678,f6296])).
% 1.68/0.78 fof(f6511,plain,(
% 1.68/0.78 ~sQ97_spl|~sQ33_spl|~sQ114_spl|sQ171_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f6185,f1917,f1677,f1972,f2207])).
% 1.68/0.78 fof(f6517,plain,(
% 1.68/0.78 ~e20=e20|~sQ83_spl|~sQ299_spl|sQ92_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f6496,f1903])).
% 1.68/0.78 fof(f6518,plain,(
% 1.68/0.78 $false|~sQ83_spl|~sQ299_spl|sQ92_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f6517])).
% 1.68/0.78 fof(f6519,plain,(
% 1.68/0.78 ~sQ83_spl|~sQ299_spl|sQ92_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6518])).
% 1.68/0.78 fof(f6525,plain,(
% 1.68/0.78 ~op2(e22,e23)=e23|~sQ111_spl|sQ242_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1963,f2449])).
% 1.68/0.78 fof(f6576,plain,(
% 1.68/0.78 $false|~sQ28_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1662,f3850])).
% 1.68/0.78 fof(f6577,plain,(
% 1.68/0.78 ~sQ28_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6576])).
% 1.68/0.78 fof(f6589,plain,(
% 1.68/0.78 op1(e11,e13)=e10|~sQ19_spl|~sQ293_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1632,f2670])).
% 1.68/0.78 fof(f6597,plain,(
% 1.68/0.78 h1(e13)=e20|~sQ64_spl|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1811,f6454])).
% 1.68/0.78 fof(f6598,plain,(
% 1.68/0.78 $false|sQ247_spl|~sQ64_spl|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f6597,f2476])).
% 1.68/0.78 fof(f6599,plain,(
% 1.68/0.78 sQ247_spl|~sQ64_spl|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6598])).
% 1.68/0.78 fof(f6605,plain,(
% 1.68/0.78 h1(e12)=op2(h1(e13),e20)|~sQ64_spl|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f6456,f3887])).
% 1.68/0.78 fof(f6606,plain,(
% 1.68/0.78 h1(e12)=e20|~sQ53_spl|~sQ153_spl|~sQ64_spl|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f6342,f6605])).
% 1.68/0.78 fof(f6607,plain,(
% 1.68/0.78 $false|sQ152_spl|~sQ53_spl|~sQ153_spl|~sQ64_spl|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f6606,f6472])).
% 1.68/0.78 fof(f6608,plain,(
% 1.68/0.78 sQ152_spl|~sQ53_spl|~sQ153_spl|~sQ64_spl|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6607])).
% 1.68/0.78 fof(f6626,plain,(
% 1.68/0.78 ~e20=op2(e20,e23)|~sQ64_spl|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f6456,f3880])).
% 1.68/0.78 fof(f6636,plain,(
% 1.68/0.78 ~sQ89_spl|~sQ274_spl|~sQ38_spl|sQ195_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f6332,f1891,f2589,f1693,f2283])).
% 1.68/0.78 fof(f6647,plain,(
% 1.68/0.78 ~e20=e20|~sQ88_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1889,f3866])).
% 1.68/0.78 fof(f6648,plain,(
% 1.68/0.78 $false|~sQ88_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f6647])).
% 1.68/0.78 fof(f6649,plain,(
% 1.68/0.78 ~sQ88_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6648])).
% 1.68/0.78 fof(f6771,plain,(
% 1.68/0.78 ~op1(e12,e13)=e13|~sQ47_spl|sQ236_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1723,f2419])).
% 1.68/0.78 fof(f6791,plain,(
% 1.68/0.78 h2(e11)=op2(h2(e12),h2(e10))|~sQ33_spl|~sQ171_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1678,f2208])).
% 1.68/0.78 fof(f6792,plain,(
% 1.68/0.78 e21=op2(h2(e12),h2(e10))|~sQ33_spl|~sQ171_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f280,f6791])).
% 1.68/0.78 fof(f6793,plain,(
% 1.68/0.78 e21=op2(e22,h2(e10))|~sQ33_spl|~sQ171_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4996,f6792])).
% 1.68/0.78 fof(f6794,plain,(
% 1.68/0.78 e21=op2(e22,e20)|~sQ33_spl|~sQ171_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f3889,f6793])).
% 1.68/0.78 fof(f6798,plain,(
% 1.68/0.78 ~sQ111_spl|sQ242_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f6525,f1962,f2447])).
% 1.68/0.78 fof(f6816,plain,(
% 1.68/0.78 sQ28_spl|~sQ19_spl|~sQ293_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f6589,f1661,f1631,f2669])).
% 1.68/0.78 fof(f6834,plain,(
% 1.68/0.78 h1(e12)=op2(e20,e20)|~sQ64_spl|~sQ20_spl|~sQ145_spl|~sQ247_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f6456,f4325])).
% 1.68/0.78 fof(f6838,plain,(
% 1.68/0.78 h1(e12)=e20|~sQ64_spl|~sQ20_spl|~sQ145_spl|~sQ247_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1811,f6834])).
% 1.68/0.78 fof(f6898,plain,(
% 1.68/0.78 ~op2(e21,e22)=e22|~sQ90_spl|sQ301_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1895,f2709])).
% 1.68/0.78 fof(f6899,plain,(
% 1.68/0.78 ~e22=e22|~sQ90_spl|sQ301_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1895,f6898])).
% 1.68/0.78 fof(f6900,plain,(
% 1.68/0.78 $false|~sQ90_spl|sQ301_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f6899])).
% 1.68/0.78 fof(f6901,plain,(
% 1.68/0.78 ~sQ90_spl|sQ301_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f6900])).
% 1.68/0.78 fof(f7024,plain,(
% 1.68/0.78 ~e21=op2(e21,e20)|~sQ248_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2480,f3884])).
% 1.68/0.78 fof(f7031,plain,(
% 1.68/0.78 h4(e12)=op2(h4(e13),e23)|~sQ228_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f2387,f3917])).
% 1.68/0.78 fof(f7032,plain,(
% 1.68/0.78 h4(e13)=op2(e23,e23)|~sQ228_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f2387,f3918])).
% 1.68/0.78 fof(f7049,plain,(
% 1.68/0.78 $false|~sQ248_spl|~sQ81_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f1866,f7024])).
% 1.68/0.78 fof(f7050,plain,(
% 1.68/0.78 ~sQ248_spl|~sQ81_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7049])).
% 1.68/0.78 fof(f7057,plain,(
% 1.68/0.78 h4(e13)=e23|~sQ127_spl|~sQ214_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2015,f5740])).
% 1.68/0.78 fof(f7058,plain,(
% 1.68/0.78 $false|sQ231_spl|~sQ127_spl|~sQ214_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f7057,f2400])).
% 1.68/0.78 fof(f7059,plain,(
% 1.68/0.78 sQ231_spl|~sQ127_spl|~sQ214_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7058])).
% 1.68/0.78 fof(f7062,plain,(
% 1.68/0.78 ~sQ127_spl|~sQ214_spl|sQ138_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f5742,f2014,f2344,f2099])).
% 1.68/0.78 fof(f7072,plain,(
% 1.68/0.78 ~h3(e11)=op2(h3(e10),h3(e13))|~sQ13_spl|sQ189_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1613,f2267])).
% 1.68/0.78 fof(f7073,plain,(
% 1.68/0.78 ~e22=op2(h3(e10),h3(e13))|~sQ13_spl|sQ189_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f284,f7072])).
% 1.68/0.78 fof(f7074,plain,(
% 1.68/0.78 h3(e10)=e22|~sQ106_spl|~sQ191_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1947,f5070])).
% 1.68/0.78 fof(f7075,plain,(
% 1.68/0.78 $false|~sQ102_spl|~sQ106_spl|~sQ191_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f7074,f4891])).
% 1.68/0.78 fof(f7076,plain,(
% 1.68/0.78 ~sQ102_spl|~sQ106_spl|~sQ191_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7075])).
% 1.68/0.78 fof(f7108,plain,(
% 1.68/0.78 ~e23=h4(e12)|~sQ228_spl|~sQ53_spl|sQ222_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f7031,f4881])).
% 1.68/0.78 fof(f7109,plain,(
% 1.68/0.78 h4(e12)=op2(e23,e23)|~sQ127_spl|~sQ228_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f7116,f7031])).
% 1.68/0.78 fof(f7116,plain,(
% 1.68/0.78 h4(e13)=e23|~sQ127_spl|~sQ228_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2015,f7032])).
% 1.68/0.78 fof(f7145,plain,(
% 1.68/0.78 ~sQ76_spl|~sQ64_spl|~sQ20_spl|~sQ145_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f6626,f1849,f1810,f1635,f2125])).
% 1.68/0.78 fof(f7159,plain,(
% 1.68/0.78 ~e20=op2(h1(e12),e20)|~sQ64_spl|~sQ20_spl|~sQ145_spl|~sQ247_spl|~sQ38_spl|sQ149_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f6838,f5919])).
% 1.68/0.78 fof(f7160,plain,(
% 1.68/0.78 ~e20=op2(e20,e20)|~sQ64_spl|~sQ20_spl|~sQ145_spl|~sQ247_spl|~sQ38_spl|sQ149_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f6838,f7159])).
% 1.68/0.78 fof(f7161,plain,(
% 1.68/0.78 ~e20=e20|~sQ64_spl|~sQ20_spl|~sQ145_spl|~sQ247_spl|~sQ38_spl|sQ149_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1811,f7160])).
% 1.68/0.78 fof(f7162,plain,(
% 1.68/0.78 $false|~sQ64_spl|~sQ20_spl|~sQ145_spl|~sQ247_spl|~sQ38_spl|sQ149_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f7161])).
% 1.68/0.78 fof(f7163,plain,(
% 1.68/0.78 ~sQ64_spl|~sQ20_spl|~sQ145_spl|~sQ247_spl|~sQ38_spl|sQ149_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7162])).
% 1.68/0.78 fof(f7217,plain,(
% 1.68/0.78 h4(e12)=e23|~sQ127_spl|~sQ228_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2015,f7109])).
% 1.68/0.78 fof(f7218,plain,(
% 1.68/0.78 $false|sQ230_spl|~sQ127_spl|~sQ228_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f7217,f2396])).
% 1.68/0.78 fof(f7219,plain,(
% 1.68/0.78 sQ230_spl|~sQ127_spl|~sQ228_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7218])).
% 1.68/0.78 fof(f7284,plain,(
% 1.68/0.78 $false|sQ198_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f5133])).
% 1.68/0.78 fof(f7285,plain,(
% 1.68/0.78 sQ198_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7284])).
% 1.68/0.78 fof(f7298,plain,(
% 1.68/0.78 ~h4(e12)=op2(e23,h4(e10))|~sQ127_spl|~sQ228_spl|sQ221_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f7116,f5138])).
% 1.68/0.78 fof(f7299,plain,(
% 1.68/0.78 ~h4(e12)=op2(e23,e23)|~sQ127_spl|~sQ228_spl|sQ221_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2387,f7298])).
% 1.68/0.78 fof(f7300,plain,(
% 1.68/0.78 ~h4(e12)=e23|~sQ127_spl|~sQ228_spl|sQ221_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2015,f7299])).
% 1.68/0.78 fof(f7336,plain,(
% 1.68/0.78 ~h3(e10)=op2(h3(e10),e23)|~sQ107_spl|~sQ0_spl|sQ186_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f4034,f6223])).
% 1.68/0.78 fof(f7343,plain,(
% 1.68/0.78 h3(e13)=op2(e23,e22)|~sQ107_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f4034,f3909])).
% 1.68/0.78 fof(f7344,plain,(
% 1.68/0.78 ~h3(e13)=op2(e22,e23)|~sQ107_spl|~sQ19_spl|sQ190_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f4034,f4180])).
% 1.68/0.78 fof(f7345,plain,(
% 1.68/0.78 h3(e12)=op2(h3(e13),e23)|~sQ107_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f4034,f3908])).
% 1.68/0.78 fof(f7484,plain,(
% 1.68/0.78 ~sQ230_spl|~sQ228_spl|~sQ53_spl|sQ222_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f7108,f2394,f2386,f1742,f2368])).
% 1.68/0.78 fof(f7489,plain,(
% 1.68/0.78 ~h4(e12)=op2(e23,e23)|~sQ230_spl|~sQ38_spl|sQ218_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f2395,f5206])).
% 1.68/0.78 fof(f7518,plain,(
% 1.68/0.78 ~op1(e11,e12)=e12|~sQ26_spl|sQ295_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1655,f2679])).
% 1.68/0.78 fof(f7519,plain,(
% 1.68/0.78 ~e12=e12|~sQ26_spl|sQ295_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1655,f7518])).
% 1.68/0.78 fof(f7520,plain,(
% 1.68/0.78 $false|~sQ26_spl|sQ295_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f7519])).
% 1.68/0.78 fof(f7521,plain,(
% 1.68/0.78 ~sQ26_spl|sQ295_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7520])).
% 1.68/0.78 fof(f7523,plain,(
% 1.68/0.78 ~e23=op2(h3(e10),e23)|~sQ107_spl|~sQ0_spl|sQ186_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4034,f7336])).
% 1.68/0.78 fof(f7524,plain,(
% 1.68/0.78 ~e23=op2(e23,e23)|~sQ107_spl|~sQ0_spl|sQ186_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4034,f7523])).
% 1.68/0.78 fof(f7525,plain,(
% 1.68/0.78 ~e23=e23|~sQ127_spl|~sQ107_spl|~sQ0_spl|sQ186_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2015,f7524])).
% 1.68/0.78 fof(f7526,plain,(
% 1.68/0.78 $false|~sQ127_spl|~sQ107_spl|~sQ0_spl|sQ186_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f7525])).
% 1.68/0.78 fof(f7527,plain,(
% 1.68/0.78 ~sQ127_spl|~sQ107_spl|~sQ0_spl|sQ186_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7526])).
% 1.68/0.78 fof(f7529,plain,(
% 1.68/0.78 h3(e13)=e20|~sQ120_spl|~sQ107_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1993,f7343])).
% 1.68/0.78 fof(f7530,plain,(
% 1.68/0.78 $false|sQ271_spl|~sQ120_spl|~sQ107_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f7529,f2578])).
% 1.68/0.78 fof(f7531,plain,(
% 1.68/0.78 sQ271_spl|~sQ120_spl|~sQ107_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7530])).
% 1.68/0.78 fof(f7532,plain,(
% 1.68/0.78 ~h3(e13)=e20|~sQ108_spl|~sQ107_spl|~sQ19_spl|sQ190_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1954,f7344])).
% 1.68/0.78 fof(f7561,plain,(
% 1.68/0.78 ~sQ230_spl|~sQ127_spl|~sQ228_spl|sQ221_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f7300,f2394,f2014,f2386,f2365])).
% 1.68/0.78 fof(f7570,plain,(
% 1.68/0.78 ~e23=op2(e23,e23)|~sQ230_spl|~sQ38_spl|sQ218_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2395,f7489])).
% 1.68/0.78 fof(f7571,plain,(
% 1.68/0.78 ~e23=e23|~sQ127_spl|~sQ230_spl|~sQ38_spl|sQ218_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2015,f7570])).
% 1.68/0.78 fof(f7572,plain,(
% 1.68/0.78 $false|~sQ127_spl|~sQ230_spl|~sQ38_spl|sQ218_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f7571])).
% 1.68/0.78 fof(f7573,plain,(
% 1.68/0.78 ~sQ127_spl|~sQ230_spl|~sQ38_spl|sQ218_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7572])).
% 1.68/0.78 fof(f7590,plain,(
% 1.68/0.78 ~sQ47_spl|sQ236_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f6771,f1722,f2417])).
% 1.68/0.78 fof(f7598,plain,(
% 1.68/0.78 $false|~sQ108_spl|~sQ19_spl|sQ190_spl|~sQ120_spl|~sQ107_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f7529,f7532])).
% 1.68/0.78 fof(f7599,plain,(
% 1.68/0.78 ~sQ108_spl|~sQ19_spl|sQ190_spl|~sQ120_spl|~sQ107_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7598])).
% 1.68/0.78 fof(f7600,plain,(
% 1.68/0.78 h3(e12)=op2(e20,e23)|~sQ271_spl|~sQ107_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f2577,f7345])).
% 1.68/0.78 fof(f7604,plain,(
% 1.68/0.78 ~e22=op2(e20,e22)|~sQ271_spl|~sQ53_spl|sQ199_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f2577,f6124])).
% 1.68/0.78 fof(f7629,plain,(
% 1.68/0.78 ~h3(op1(e11,e13))=op2(e22,e20)|~sQ271_spl|sQ193_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2577,f3937])).
% 1.68/0.78 fof(f7630,plain,(
% 1.68/0.78 ~h3(op1(e11,e13))=e21|~sQ33_spl|~sQ171_spl|~sQ271_spl|sQ193_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f6794,f7629])).
% 1.68/0.78 fof(f7652,plain,(
% 1.68/0.78 ~sQ271_spl|~sQ268_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f4630,f2576,f2564])).
% 1.68/0.78 fof(f7732,plain,(
% 1.68/0.78 ~e22=op2(e23,h3(e13))|~sQ107_spl|~sQ13_spl|sQ189_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4034,f7073])).
% 1.68/0.78 fof(f7733,plain,(
% 1.68/0.78 ~e22=op2(e23,e20)|~sQ271_spl|~sQ107_spl|~sQ13_spl|sQ189_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2577,f7732])).
% 1.68/0.78 fof(f7734,plain,(
% 1.68/0.78 ~e22=e22|~sQ271_spl|~sQ107_spl|~sQ13_spl|sQ189_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f3873,f7733])).
% 1.68/0.78 fof(f7735,plain,(
% 1.68/0.78 $false|~sQ271_spl|~sQ107_spl|~sQ13_spl|sQ189_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f7734])).
% 1.68/0.78 fof(f7736,plain,(
% 1.68/0.78 ~sQ271_spl|~sQ107_spl|~sQ13_spl|sQ189_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7735])).
% 1.68/0.78 fof(f7758,plain,(
% 1.68/0.78 ~h3(e12)=e21|~sQ30_spl|~sQ33_spl|~sQ171_spl|~sQ271_spl|sQ193_spl),
% 1.68/0.78 inference(backward_demodulation,[status(thm)],[f1668,f7630])).
% 1.68/0.78 fof(f7810,plain,(
% 1.68/0.78 h3(e12)=e21|~sQ77_spl|~sQ271_spl|~sQ107_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1853,f7600])).
% 1.68/0.78 fof(f7811,plain,(
% 1.68/0.78 $false|sQ274_spl|~sQ77_spl|~sQ271_spl|~sQ107_spl),
% 1.68/0.78 inference(forward_subsumption_resolution,[status(thm)],[f7810,f2591])).
% 1.68/0.78 fof(f7812,plain,(
% 1.68/0.78 sQ274_spl|~sQ77_spl|~sQ271_spl|~sQ107_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7811])).
% 1.68/0.78 fof(f7813,plain,(
% 1.68/0.78 ~sQ74_spl|~sQ271_spl|~sQ53_spl|sQ199_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f7604,f1842,f2576,f1742,f2295])).
% 1.68/0.78 fof(f7867,plain,(
% 1.68/0.78 ~sQ274_spl|~sQ30_spl|~sQ33_spl|~sQ171_spl|~sQ271_spl|sQ193_spl),
% 1.68/0.78 inference(split_clause,[status(thm)],[f7758,f2589,f1667,f1677,f2207,f2576,f2277])).
% 1.68/0.78 fof(f7895,plain,(
% 1.68/0.78 ~h3(e10)=op2(e21,h3(e13))|~sQ44_spl|~sQ274_spl|sQ197_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1714,f6298])).
% 1.68/0.78 fof(f7896,plain,(
% 1.68/0.78 ~e23=op2(e21,h3(e13))|~sQ107_spl|~sQ44_spl|~sQ274_spl|sQ197_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4034,f7895])).
% 1.68/0.78 fof(f7897,plain,(
% 1.68/0.78 ~e23=op2(e21,e20)|~sQ271_spl|~sQ107_spl|~sQ44_spl|~sQ274_spl|sQ197_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2577,f7896])).
% 1.68/0.78 fof(f7898,plain,(
% 1.68/0.78 ~e23=e23|~sQ83_spl|~sQ271_spl|~sQ107_spl|~sQ44_spl|~sQ274_spl|sQ197_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1872,f7897])).
% 1.68/0.78 fof(f7899,plain,(
% 1.68/0.78 $false|~sQ83_spl|~sQ271_spl|~sQ107_spl|~sQ44_spl|~sQ274_spl|sQ197_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f7898])).
% 1.68/0.78 fof(f7900,plain,(
% 1.68/0.78 ~sQ83_spl|~sQ271_spl|~sQ107_spl|~sQ44_spl|~sQ274_spl|sQ197_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7899])).
% 1.68/0.78 fof(f7901,plain,(
% 1.68/0.78 ~h3(e11)=e22|~sQ25_spl|~sQ102_spl|~sQ274_spl|sQ192_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1652,f6020])).
% 1.68/0.78 fof(f7902,plain,(
% 1.68/0.78 ~e22=e22|~sQ25_spl|~sQ102_spl|~sQ274_spl|sQ192_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f284,f7901])).
% 1.68/0.78 fof(f7903,plain,(
% 1.68/0.78 $false|~sQ25_spl|~sQ102_spl|~sQ274_spl|sQ192_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f7902])).
% 1.68/0.78 fof(f7904,plain,(
% 1.68/0.78 ~sQ25_spl|~sQ102_spl|~sQ274_spl|sQ192_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7903])).
% 1.68/0.78 fof(f7905,plain,(
% 1.68/0.78 ~h3(e10)=op2(h3(e13),e21)|~sQ56_spl|~sQ274_spl|sQ200_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1753,f6300])).
% 1.68/0.78 fof(f7906,plain,(
% 1.68/0.78 ~e23=op2(h3(e13),e21)|~sQ107_spl|~sQ56_spl|~sQ274_spl|sQ200_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4034,f7905])).
% 1.68/0.78 fof(f7907,plain,(
% 1.68/0.78 ~e23=op2(e20,e21)|~sQ271_spl|~sQ107_spl|~sQ56_spl|~sQ274_spl|sQ200_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2577,f7906])).
% 1.68/0.78 fof(f7908,plain,(
% 1.68/0.78 ~e23=e23|~sQ271_spl|~sQ107_spl|~sQ56_spl|~sQ274_spl|sQ200_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f3879,f7907])).
% 1.68/0.78 fof(f7909,plain,(
% 1.68/0.78 $false|~sQ271_spl|~sQ107_spl|~sQ56_spl|~sQ274_spl|sQ200_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f7908])).
% 1.68/0.78 fof(f7910,plain,(
% 1.68/0.78 ~sQ271_spl|~sQ107_spl|~sQ56_spl|~sQ274_spl|sQ200_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7909])).
% 1.68/0.78 fof(f7911,plain,(
% 1.68/0.78 ~h3(e13)=e20|~sQ43_spl|~sQ274_spl|sQ196_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1710,f6498])).
% 1.68/0.78 fof(f7912,plain,(
% 1.68/0.78 ~e20=e20|~sQ271_spl|~sQ43_spl|~sQ274_spl|sQ196_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2577,f7911])).
% 1.68/0.78 fof(f7913,plain,(
% 1.68/0.78 $false|~sQ271_spl|~sQ43_spl|~sQ274_spl|sQ196_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f7912])).
% 1.68/0.78 fof(f7914,plain,(
% 1.68/0.78 ~sQ271_spl|~sQ43_spl|~sQ274_spl|sQ196_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7913])).
% 1.68/0.78 fof(f7915,plain,(
% 1.68/0.78 ~e22=op2(e21,h3(e10))|~sQ33_spl|~sQ274_spl|sQ194_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f284,f6509])).
% 1.68/0.78 fof(f7916,plain,(
% 1.68/0.78 ~e22=op2(e21,e23)|~sQ107_spl|~sQ33_spl|~sQ274_spl|sQ194_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4034,f7915])).
% 1.68/0.78 fof(f7917,plain,(
% 1.68/0.78 ~e22=e22|~sQ94_spl|~sQ107_spl|~sQ33_spl|~sQ274_spl|sQ194_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1908,f7916])).
% 1.68/0.78 fof(f7918,plain,(
% 1.68/0.78 $false|~sQ94_spl|~sQ107_spl|~sQ33_spl|~sQ274_spl|sQ194_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f7917])).
% 1.68/0.78 fof(f7919,plain,(
% 1.68/0.78 ~sQ94_spl|~sQ107_spl|~sQ33_spl|~sQ274_spl|sQ194_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7918])).
% 1.68/0.78 fof(f7922,plain,(
% 1.68/0.78 ~h3(e12)=op2(h3(e10),e21)|~sQ10_spl|~sQ274_spl|sQ188_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1603,f5974])).
% 1.68/0.78 fof(f7923,plain,(
% 1.68/0.78 ~e21=op2(h3(e10),e21)|~sQ77_spl|~sQ271_spl|~sQ107_spl|~sQ10_spl|~sQ274_spl|sQ188_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f7810,f7922])).
% 1.68/0.78 fof(f7924,plain,(
% 1.68/0.78 ~e21=op2(e23,e21)|~sQ77_spl|~sQ271_spl|~sQ107_spl|~sQ10_spl|~sQ274_spl|sQ188_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f4034,f7923])).
% 1.68/0.78 fof(f7925,plain,(
% 1.68/0.78 ~e21=e21|~sQ117_spl|~sQ77_spl|~sQ271_spl|~sQ107_spl|~sQ10_spl|~sQ274_spl|sQ188_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1983,f7924])).
% 1.68/0.78 fof(f7926,plain,(
% 1.68/0.78 $false|~sQ117_spl|~sQ77_spl|~sQ271_spl|~sQ107_spl|~sQ10_spl|~sQ274_spl|sQ188_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f7925])).
% 1.68/0.78 fof(f7927,plain,(
% 1.68/0.78 ~sQ117_spl|~sQ77_spl|~sQ271_spl|~sQ107_spl|~sQ10_spl|~sQ274_spl|sQ188_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7926])).
% 1.68/0.78 fof(f7976,plain,(
% 1.68/0.78 ~h3(e13)=op2(h3(e13),h3(e13))|~sQ63_spl|sQ201_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1775,f2303])).
% 1.68/0.78 fof(f7977,plain,(
% 1.68/0.78 ~e20=op2(h3(e13),h3(e13))|~sQ271_spl|~sQ63_spl|sQ201_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2577,f7976])).
% 1.68/0.78 fof(f7978,plain,(
% 1.68/0.78 ~e20=op2(e20,h3(e13))|~sQ271_spl|~sQ63_spl|sQ201_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2577,f7977])).
% 1.68/0.78 fof(f7979,plain,(
% 1.68/0.78 ~e20=op2(e20,e20)|~sQ271_spl|~sQ63_spl|sQ201_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f2577,f7978])).
% 1.68/0.78 fof(f7980,plain,(
% 1.68/0.78 ~e20=e20|~sQ64_spl|~sQ271_spl|~sQ63_spl|sQ201_spl),
% 1.68/0.78 inference(forward_demodulation,[status(thm)],[f1811,f7979])).
% 1.68/0.78 fof(f7981,plain,(
% 1.68/0.78 $false|~sQ64_spl|~sQ271_spl|~sQ63_spl|sQ201_spl),
% 1.68/0.78 inference(trivial_equality_resolution,[status(thm)],[f7980])).
% 1.68/0.78 fof(f7982,plain,(
% 1.68/0.78 ~sQ64_spl|~sQ271_spl|~sQ63_spl|sQ201_spl),
% 1.68/0.78 inference(contradiction_clause,[status(thm)],[f7981])).
% 1.68/0.78 fof(f7983,plain,(
% 1.68/0.78 $false),
% 1.68/0.78 inference(sat_refutation,[status(thm)],[f1595,f1621,f1634,f1725,f1751,f1778,f1781,f1787,f1791,f1794,f1796,f1797,f1799,f1801,f1802,f1803,f1805,f1806,f1807,f1808,f1822,f1835,f1861,f1900,f2004,f2017,f2019,f2020,f2021,f2022,f2023,f2025,f2027,f2028,f2029,f2036,f2039,f2040,f2042,f2043,f2047,f2049,f2050,f2052,f2053,f2064,f2080,f2081,f2082,f2083,f2094,f2316,f2420,f2438,f2442,f2446,f2450,f2460,f2477,f2516,f2537,f2558,f2579,f2592,f2605,f2680,f2706,f2710,f2715,f2724,f2729,f2755,f2776,f2794,f2812,f2830,f2848,f2866,f2884,f2902,f2920,f2938,f2956,f2974,f2992,f3010,f3028,f3046,f3064,f3082,f3100,f3118,f3136,f3154,f3172,f3190,f3208,f3226,f3244,f3262,f3280,f3298,f3316,f3334,f3352,f3370,f3388,f3406,f3424,f3442,f3460,f3478,f3496,f3514,f3532,f3550,f3568,f3586,f3604,f3622,f3640,f3658,f3676,f3694,f3702,f3712,f3717,f3730,f3735,f3748,f3753,f3766,f3771,f3784,f3789,f3802,f3807,f3820,f3825,f3838,f3840,f3849,f3928,f3934,f3944,f3950,f3972,f3984,f3997,f4003,f4024,f4041,f4047,f4061,f4118,f4128,f4165,f4188,f4207,f4211,f4230,f4236,f4246,f4252,f4262,f4265,f4272,f4277,f4280,f4283,f4286,f4289,f4295,f4305,f4312,f4315,f4320,f4323,f4355,f4357,f4410,f4417,f4419,f4425,f4436,f4440,f4444,f4459,f4533,f4548,f4555,f4563,f4567,f4571,f4597,f4613,f4638,f4649,f4651,f4671,f4675,f4680,f4690,f4694,f4699,f4712,f4730,f4743,f4751,f4764,f4818,f4860,f4861,f4893,f4928,f4929,f4933,f4943,f4954,f4958,f4976,f4979,f5021,f5026,f5153,f5159,f5164,f5170,f5183,f5198,f5202,f5215,f5219,f5221,f5225,f5234,f5266,f5285,f5288,f5291,f5295,f5316,f5336,f5340,f5415,f5463,f5485,f5503,f5527,f5537,f5551,f5585,f5590,f5637,f5684,f5692,f5759,f5760,f5762,f5776,f5778,f5826,f5829,f5833,f5845,f5859,f5874,f5884,f5887,f5901,f5904,f5905,f5906,f5954,f5971,f5986,f6000,f6012,f6014,f6041,f6051,f6058,f6096,f6105,f6119,f6141,f6152,f6263,f6278,f6281,f6289,f6313,f6330,f6369,f6374,f6393,f6415,f6427,f6438,f6440,f6470,f6492,f6511,f6519,f6577,f6599,f6608,f6636,f6649,f6798,f6816,f6901,f7050,f7059,f7062,f7076,f7145,f7163,f7219,f7285,f7484,f7521,f7527,f7531,f7561,f7573,f7590,f7599,f7652,f7736,f7812,f7813,f7867,f7900,f7904,f7910,f7914,f7919,f7927,f7982])).
% 1.68/0.78 % SZS output end CNFRefutation for theBenchmark.p
% 1.68/0.78 % Elapsed time: 0.417017 seconds
% 1.68/0.78 % CPU time: 2.788281 seconds
% 1.68/0.78 % Total memory used: 189.992 MB
% 1.68/0.78 % Net memory used: 188.291 MB
%------------------------------------------------------------------------------