%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG102+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 : n026.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 11:49:37 AM UTC 2026
% Result : Theorem 10.92s 1.93s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG102+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 : n026.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 12:58:52 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.45 % Drodi V4.1.1
% 10.92/1.93 % Refutation found
% 10.92/1.93 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.92/1.93 % SZS output start CNFRefutation for theBenchmark
% 10.92/1.93 fof(f1,axiom,(
% 10.92/1.93 ( ( 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 ) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f2,axiom,(
% 10.92/1.93 ( ( 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 ) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f3,axiom,(
% 10.92/1.93 ( ( 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 ) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f4,axiom,(
% 10.92/1.93 ( ( 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 ) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f5,axiom,(
% 10.92/1.93 ( 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) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f6,axiom,(
% 10.92/1.93 ( 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) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f7,axiom,(
% 10.92/1.93 ( e10 != e11& e10 != e12& e10 != e13& e11 != e12& e11 != e13& e12 != e13 ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f8,axiom,(
% 10.92/1.93 ( e20 != e21& e20 != e22& e20 != e23& e21 != e22& e21 != e23& e22 != e23 ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f10,axiom,(
% 10.92/1.93 ( ( ( 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,e11) = e10& op1(e11,e10) != e11 )| ( op1(e10,e10) = e10& op1(e10,e10) != e10& op1(e12,e12) = e10& op1(e12,e10) != e12 )| ( op1(e10,e10) = e10& op1(e10,e10) != e10& op1(e13,e13) = e10& op1(e13,e10) != e13 )| ( op1(e10,e11) = e10& op1(e10,e10) != e11& op1(e10,e10) = e11& op1(e10,e11) != e10 )| ( op1(e10,e11) = e10& op1(e10,e10) != e11& op1(e11,e11) = e11& op1(e11,e11) != e11 )| ( op1(e10,e11) = e10& op1(e10,e10) != e11& op1(e12,e12) = e11& op1(e12,e11) != e12 )| ( op1(e10,e11) = e10& op1(e10,e10) != e11& op1(e13,e13) = e11& op1(e13,e11) != e13 )| ( op1(e10,e12) = e10& op1(e10,e10) != e12& op1(e10,e10) = e12& op1(e10,e12) != e10 )| ( op1(e10,e12) = e10& op1(e10,e10) != e12& op1(e11,e11) = e12& op1(e11,e12) != e11 )| ( op1(e10,e12) = e10& op1(e10,e10) != e12& op1(e12,e12) = e12& op1(e12,e12) != e12 )| ( op1(e10,e12) = e10& op1(e10,e10) != e12& op1(e13,e13) = e12& op1(e13,e12) != e13 )| ( op1(e10,e13) = e10& op1(e10,e10) != e13& op1(e10,e10) = e13& op1(e10,e13) != e10 )| ( op1(e10,e13) = e10& op1(e10,e10) != e13& op1(e11,e11) = e13& op1(e11,e13) != e11 )| ( op1(e10,e13) = e10& op1(e10,e10) != e13& op1(e12,e12) = e13& op1(e12,e13) != e12 )| ( op1(e10,e13) = e10& op1(e10,e10) != e13& op1(e13,e13) = e13& op1(e13,e13) != e13 )| ( op1(e11,e10) = e11& op1(e11,e11) != e10& op1(e10,e10) = e10& op1(e10,e10) != e10 )| ( op1(e11,e10) = e11& op1(e11,e11) != e10& op1(e11,e11) = e10& op1(e11,e10) != e11 )| ( op1(e11,e10) = e11& op1(e11,e11) != e10& op1(e12,e12) = e10& op1(e12,e10) != e12 )| ( op1(e11,e10) = e11& op1(e11,e11) != e10& op1(e13,e13) = e10& op1(e13,e10) != e13 )| ( op1(e11,e11) = e11& op1(e11,e11) != e11& op1(e10,e10) = e11& op1(e10,e11) != e10 )| ( 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,e12) = e11& op1(e12,e11) != e12 )| ( op1(e11,e11) = e11& op1(e11,e11) != e11& op1(e13,e13) = e11& op1(e13,e11) != e13 )| ( op1(e11,e12) = e11& op1(e11,e11) != e12& op1(e10,e10) = e12& op1(e10,e12) != e10 )| ( op1(e11,e12) = e11& op1(e11,e11) != e12& op1(e11,e11) = e12& op1(e11,e12) != e11 )| ( op1(e11,e12) = e11& op1(e11,e11) != e12& op1(e12,e12) = e12& op1(e12,e12) != e12 )| ( op1(e11,e12) = e11& op1(e11,e11) != e12& op1(e13,e13) = e12& op1(e13,e12) != e13 )| ( op1(e11,e13) = e11& op1(e11,e11) != e13& op1(e10,e10) = e13& op1(e10,e13) != e10 )| ( op1(e11,e13) = e11& op1(e11,e11) != e13& op1(e11,e11) = e13& op1(e11,e13) != e11 )| ( op1(e11,e13) = e11& op1(e11,e11) != e13& op1(e12,e12) = e13& op1(e12,e13) != e12 )| ( op1(e11,e13) = e11& op1(e11,e11) != e13& op1(e13,e13) = e13& op1(e13,e13) != e13 )| ( op1(e12,e10) = e12& op1(e12,e12) != e10& op1(e10,e10) = e10& op1(e10,e10) != e10 )| ( op1(e12,e10) = e12& op1(e12,e12) != e10& op1(e11,e11) = e10& op1(e11,e10) != e11 )| ( op1(e12,e10) = e12& op1(e12,e12) != e10& op1(e12,e12) = e10& op1(e12,e10) != e12 )| ( op1(e12,e10) = e12& op1(e12,e12) != e10& op1(e13,e13) = e10& op1(e13,e10) != e13 )| ( op1(e12,e11) = e12& op1(e12,e12) != e11& op1(e10,e10) = e11& op1(e10,e11) != e10 )| ( op1(e12,e11) = e12& op1(e12,e12) != e11& op1(e11,e11) = e11& op1(e11,e11) != e11 )| ( op1(e12,e11) = e12& op1(e12,e12) != e11& op1(e12,e12) = e11& op1(e12,e11) != e12 )| ( op1(e12,e11) = e12& op1(e12,e12) != e11& op1(e13,e13) = e11& op1(e13,e11) != e13 )| ( op1(e12,e12) = e12& op1(e12,e12) != e12& op1(e10,e10) = e12& op1(e10,e12) != e10 )| ( op1(e12,e12) = e12& op1(e12,e12) != e12& op1(e11,e11) = e12& op1(e11,e12) != e11 )| ( 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,e13) = e12& op1(e13,e12) != e13 )| ( op1(e12,e13) = e12& op1(e12,e12) != e13& op1(e10,e10) = e13& op1(e10,e13) != e10 )| ( op1(e12,e13) = e12& op1(e12,e12) != e13& op1(e11,e11) = e13& op1(e11,e13) != e11 )| ( op1(e12,e13) = e12& op1(e12,e12) != e13& op1(e12,e12) = e13& op1(e12,e13) != e12 )| ( op1(e12,e13) = e12& op1(e12,e12) != e13& op1(e13,e13) = e13& op1(e13,e13) != e13 )| ( op1(e13,e10) = e13& op1(e13,e13) != e10& op1(e10,e10) = e10& op1(e10,e10) != e10 )| ( op1(e13,e10) = e13& op1(e13,e13) != e10& op1(e11,e11) = e10& op1(e11,e10) != e11 )| ( op1(e13,e10) = e13& op1(e13,e13) != e10& op1(e12,e12) = e10& op1(e12,e10) != e12 )| ( op1(e13,e10) = e13& op1(e13,e13) != e10& op1(e13,e13) = e10& op1(e13,e10) != e13 )| ( op1(e13,e11) = e13& op1(e13,e13) != e11& op1(e10,e10) = e11& op1(e10,e11) != e10 )| ( op1(e13,e11) = e13& op1(e13,e13) != e11& op1(e11,e11) = e11& op1(e11,e11) != e11 )| ( op1(e13,e11) = e13& op1(e13,e13) != e11& op1(e12,e12) = e11& op1(e12,e11) != e12 )| ( op1(e13,e11) = e13& op1(e13,e13) != e11& op1(e13,e13) = e11& op1(e13,e11) != e13 )| ( op1(e13,e12) = e13& op1(e13,e13) != e12& op1(e10,e10) = e12& op1(e10,e12) != e10 )| ( op1(e13,e12) = e13& op1(e13,e13) != e12& op1(e11,e11) = e12& op1(e11,e12) != e11 )| ( op1(e13,e12) = e13& op1(e13,e13) != e12& op1(e12,e12) = e12& op1(e12,e12) != e12 )| ( op1(e13,e12) = e13& op1(e13,e13) != e12& op1(e13,e13) = e12& op1(e13,e12) != e13 )| ( op1(e13,e13) = e13& op1(e13,e13) != e13& op1(e10,e10) = e13& op1(e10,e13) != e10 )| ( op1(e13,e13) = e13& op1(e13,e13) != e13& op1(e11,e11) = e13& op1(e11,e13) != e11 )| ( op1(e13,e13) = e13& op1(e13,e13) != e13& op1(e12,e12) = e13& op1(e12,e13) != e12 )| ( op1(e13,e13) = e13& op1(e13,e13) != e13& op1(e13,e13) = e13& 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(e10,e10) != e10| op1(e10,e10) = e10 )& ( op1(e11,e10) != e11| op1(e11,e11) = e10 )& ( op1(e12,e10) != e12| op1(e12,e12) = e10 )& ( op1(e13,e10) != e13| op1(e13,e13) = e10 ) )| ( 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(e10,e11) != e10| op1(e10,e10) = e11 )& ( op1(e11,e11) != e11| op1(e11,e11) = e11 )& ( op1(e12,e11) != e12| op1(e12,e12) = e11 )& ( op1(e13,e11) != e13| op1(e13,e13) = e11 ) )| ( 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(e10,e12) != e10| op1(e10,e10) = e12 )& ( op1(e11,e12) != e11| op1(e11,e11) = e12 )& ( op1(e12,e12) != e12| op1(e12,e12) = e12 )& ( op1(e13,e12) != e13| op1(e13,e13) = e12 ) )| ( 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,e13) != e10| op1(e10,e10) = e13 )& ( op1(e11,e13) != e11| op1(e11,e11) = e13 )& ( op1(e12,e13) != e12| op1(e12,e12) = e13 )& ( op1(e13,e13) != e13| op1(e13,e13) = e13 ) ) ) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f11,axiom,(
% 10.92/1.93 ( ( ( 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,e21) = e20& op2(e21,e20) != e21 )| ( op2(e20,e20) = e20& op2(e20,e20) != e20& op2(e22,e22) = e20& op2(e22,e20) != e22 )| ( op2(e20,e20) = e20& op2(e20,e20) != e20& op2(e23,e23) = e20& op2(e23,e20) != e23 )| ( op2(e20,e21) = e20& op2(e20,e20) != e21& op2(e20,e20) = e21& op2(e20,e21) != e20 )| ( op2(e20,e21) = e20& op2(e20,e20) != e21& op2(e21,e21) = e21& op2(e21,e21) != e21 )| ( op2(e20,e21) = e20& op2(e20,e20) != e21& op2(e22,e22) = e21& op2(e22,e21) != e22 )| ( op2(e20,e21) = e20& op2(e20,e20) != e21& op2(e23,e23) = e21& op2(e23,e21) != e23 )| ( op2(e20,e22) = e20& op2(e20,e20) != e22& op2(e20,e20) = e22& op2(e20,e22) != e20 )| ( op2(e20,e22) = e20& op2(e20,e20) != e22& op2(e21,e21) = e22& op2(e21,e22) != e21 )| ( op2(e20,e22) = e20& op2(e20,e20) != e22& op2(e22,e22) = e22& op2(e22,e22) != e22 )| ( op2(e20,e22) = e20& op2(e20,e20) != e22& op2(e23,e23) = e22& op2(e23,e22) != e23 )| ( op2(e20,e23) = e20& op2(e20,e20) != e23& op2(e20,e20) = e23& op2(e20,e23) != e20 )| ( op2(e20,e23) = e20& op2(e20,e20) != e23& op2(e21,e21) = e23& op2(e21,e23) != e21 )| ( op2(e20,e23) = e20& op2(e20,e20) != e23& op2(e22,e22) = e23& op2(e22,e23) != e22 )| ( op2(e20,e23) = e20& op2(e20,e20) != e23& op2(e23,e23) = e23& op2(e23,e23) != e23 )| ( op2(e21,e20) = e21& op2(e21,e21) != e20& op2(e20,e20) = e20& op2(e20,e20) != e20 )| ( op2(e21,e20) = e21& op2(e21,e21) != e20& op2(e21,e21) = e20& op2(e21,e20) != e21 )| ( op2(e21,e20) = e21& op2(e21,e21) != e20& op2(e22,e22) = e20& op2(e22,e20) != e22 )| ( op2(e21,e20) = e21& op2(e21,e21) != e20& op2(e23,e23) = e20& op2(e23,e20) != e23 )| ( op2(e21,e21) = e21& op2(e21,e21) != e21& op2(e20,e20) = e21& op2(e20,e21) != e20 )| ( 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,e22) = e21& op2(e22,e21) != e22 )| ( op2(e21,e21) = e21& op2(e21,e21) != e21& op2(e23,e23) = e21& op2(e23,e21) != e23 )| ( op2(e21,e22) = e21& op2(e21,e21) != e22& op2(e20,e20) = e22& op2(e20,e22) != e20 )| ( op2(e21,e22) = e21& op2(e21,e21) != e22& op2(e21,e21) = e22& op2(e21,e22) != e21 )| ( op2(e21,e22) = e21& op2(e21,e21) != e22& op2(e22,e22) = e22& op2(e22,e22) != e22 )| ( op2(e21,e22) = e21& op2(e21,e21) != e22& op2(e23,e23) = e22& op2(e23,e22) != e23 )| ( op2(e21,e23) = e21& op2(e21,e21) != e23& op2(e20,e20) = e23& op2(e20,e23) != e20 )| ( op2(e21,e23) = e21& op2(e21,e21) != e23& op2(e21,e21) = e23& op2(e21,e23) != e21 )| ( op2(e21,e23) = e21& op2(e21,e21) != e23& op2(e22,e22) = e23& op2(e22,e23) != e22 )| ( op2(e21,e23) = e21& op2(e21,e21) != e23& op2(e23,e23) = e23& op2(e23,e23) != e23 )| ( op2(e22,e20) = e22& op2(e22,e22) != e20& op2(e20,e20) = e20& op2(e20,e20) != e20 )| ( op2(e22,e20) = e22& op2(e22,e22) != e20& op2(e21,e21) = e20& op2(e21,e20) != e21 )| ( op2(e22,e20) = e22& op2(e22,e22) != e20& op2(e22,e22) = e20& op2(e22,e20) != e22 )| ( op2(e22,e20) = e22& op2(e22,e22) != e20& op2(e23,e23) = e20& op2(e23,e20) != e23 )| ( op2(e22,e21) = e22& op2(e22,e22) != e21& op2(e20,e20) = e21& op2(e20,e21) != e20 )| ( op2(e22,e21) = e22& op2(e22,e22) != e21& op2(e21,e21) = e21& op2(e21,e21) != e21 )| ( op2(e22,e21) = e22& op2(e22,e22) != e21& op2(e22,e22) = e21& op2(e22,e21) != e22 )| ( op2(e22,e21) = e22& op2(e22,e22) != e21& op2(e23,e23) = e21& op2(e23,e21) != e23 )| ( op2(e22,e22) = e22& op2(e22,e22) != e22& op2(e20,e20) = e22& op2(e20,e22) != e20 )| ( op2(e22,e22) = e22& op2(e22,e22) != e22& op2(e21,e21) = e22& op2(e21,e22) != e21 )| ( 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,e23) = e22& op2(e23,e22) != e23 )| ( op2(e22,e23) = e22& op2(e22,e22) != e23& op2(e20,e20) = e23& op2(e20,e23) != e20 )| ( op2(e22,e23) = e22& op2(e22,e22) != e23& op2(e21,e21) = e23& op2(e21,e23) != e21 )| ( op2(e22,e23) = e22& op2(e22,e22) != e23& op2(e22,e22) = e23& op2(e22,e23) != e22 )| ( op2(e22,e23) = e22& op2(e22,e22) != e23& op2(e23,e23) = e23& op2(e23,e23) != e23 )| ( op2(e23,e20) = e23& op2(e23,e23) != e20& op2(e20,e20) = e20& op2(e20,e20) != e20 )| ( op2(e23,e20) = e23& op2(e23,e23) != e20& op2(e21,e21) = e20& op2(e21,e20) != e21 )| ( op2(e23,e20) = e23& op2(e23,e23) != e20& op2(e22,e22) = e20& op2(e22,e20) != e22 )| ( op2(e23,e20) = e23& op2(e23,e23) != e20& op2(e23,e23) = e20& op2(e23,e20) != e23 )| ( op2(e23,e21) = e23& op2(e23,e23) != e21& op2(e20,e20) = e21& op2(e20,e21) != e20 )| ( op2(e23,e21) = e23& op2(e23,e23) != e21& op2(e21,e21) = e21& op2(e21,e21) != e21 )| ( op2(e23,e21) = e23& op2(e23,e23) != e21& op2(e22,e22) = e21& op2(e22,e21) != e22 )| ( op2(e23,e21) = e23& op2(e23,e23) != e21& op2(e23,e23) = e21& op2(e23,e21) != e23 )| ( op2(e23,e22) = e23& op2(e23,e23) != e22& op2(e20,e20) = e22& op2(e20,e22) != e20 )| ( op2(e23,e22) = e23& op2(e23,e23) != e22& op2(e21,e21) = e22& op2(e21,e22) != e21 )| ( op2(e23,e22) = e23& op2(e23,e23) != e22& op2(e22,e22) = e22& op2(e22,e22) != e22 )| ( op2(e23,e22) = e23& op2(e23,e23) != e22& op2(e23,e23) = e22& op2(e23,e22) != e23 )| ( op2(e23,e23) = e23& op2(e23,e23) != e23& op2(e20,e20) = e23& op2(e20,e23) != e20 )| ( op2(e23,e23) = e23& op2(e23,e23) != e23& op2(e21,e21) = e23& op2(e21,e23) != e21 )| ( op2(e23,e23) = e23& op2(e23,e23) != e23& op2(e22,e22) = e23& op2(e22,e23) != e22 )| ( op2(e23,e23) = e23& op2(e23,e23) != e23& op2(e23,e23) = e23& 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(e20,e20) != e20| op2(e20,e20) = e20 )& ( op2(e21,e20) != e21| op2(e21,e21) = e20 )& ( op2(e22,e20) != e22| op2(e22,e22) = e20 )& ( op2(e23,e20) != e23| op2(e23,e23) = e20 ) )| ( 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(e20,e21) != e20| op2(e20,e20) = e21 )& ( op2(e21,e21) != e21| op2(e21,e21) = e21 )& ( op2(e22,e21) != e22| op2(e22,e22) = e21 )& ( op2(e23,e21) != e23| op2(e23,e23) = e21 ) )| ( 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(e20,e22) != e20| op2(e20,e20) = e22 )& ( op2(e21,e22) != e21| op2(e21,e21) = e22 )& ( op2(e22,e22) != e22| op2(e22,e22) = e22 )& ( op2(e23,e22) != e23| op2(e23,e23) = e22 ) )| ( 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,e23) != e20| op2(e20,e20) = e23 )& ( op2(e21,e23) != e21| op2(e21,e21) = e23 )& ( op2(e22,e23) != e22| op2(e22,e22) = e23 )& ( op2(e23,e23) != e23| op2(e23,e23) = e23 ) ) ) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f12,axiom,(
% 10.92/1.93 ( e10 = op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11))& e12 = op1(e11,e11)& e13 = op1(op1(e11,e11),e11) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f13,axiom,(
% 10.92/1.93 ( e20 = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21))& e22 = op2(e21,e21)& e23 = op2(op2(e21,e21),e21) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f14,axiom,(
% 10.92/1.93 ( h1(e11) = e20& h1(e10) = op2(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20))& h1(e12) = op2(e20,e20)& h1(e13) = op2(op2(e20,e20),e20) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f15,axiom,(
% 10.92/1.93 ( h2(e11) = e21& h2(e10) = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21))& h2(e12) = op2(e21,e21)& h2(e13) = op2(op2(e21,e21),e21) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f16,axiom,(
% 10.92/1.93 ( h3(e11) = e22& h3(e10) = op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22))& h3(e12) = op2(e22,e22)& h3(e13) = op2(op2(e22,e22),e22) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f17,axiom,(
% 10.92/1.93 ( h4(e11) = e23& h4(e10) = op2(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23))& h4(e12) = op2(e23,e23)& h4(e13) = op2(op2(e23,e23),e23) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f18,conjecture,(
% 10.92/1.93 ( ( 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 ) ) ) ),
% 10.92/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 10.92/1.93 fof(f19,negated_conjecture,(
% 10.92/1.93 ~(( ( 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 ) ) ) )),
% 10.92/1.93 inference(negated_conjecture,[status(cth)],[f18])).
% 10.92/1.93 fof(f20,plain,(
% 10.92/1.93 op1(e10,e10)=e10|op1(e10,e10)=e11|op1(e10,e10)=e12|op1(e10,e10)=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f1])).
% 10.92/1.93 fof(f22,plain,(
% 10.92/1.93 op1(e10,e12)=e10|op1(e10,e12)=e11|op1(e10,e12)=e12|op1(e10,e12)=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f1])).
% 10.92/1.93 fof(f23,plain,(
% 10.92/1.93 op1(e10,e13)=e10|op1(e10,e13)=e11|op1(e10,e13)=e12|op1(e10,e13)=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f1])).
% 10.92/1.93 fof(f24,plain,(
% 10.92/1.93 op1(e11,e10)=e10|op1(e11,e10)=e11|op1(e11,e10)=e12|op1(e11,e10)=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f1])).
% 10.92/1.93 fof(f27,plain,(
% 10.92/1.93 op1(e11,e13)=e10|op1(e11,e13)=e11|op1(e11,e13)=e12|op1(e11,e13)=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f1])).
% 10.92/1.93 fof(f31,plain,(
% 10.92/1.93 op1(e12,e13)=e10|op1(e12,e13)=e11|op1(e12,e13)=e12|op1(e12,e13)=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f1])).
% 10.92/1.93 fof(f32,plain,(
% 10.92/1.93 op1(e13,e10)=e10|op1(e13,e10)=e11|op1(e13,e10)=e12|op1(e13,e10)=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f1])).
% 10.92/1.93 fof(f33,plain,(
% 10.92/1.93 op1(e13,e11)=e10|op1(e13,e11)=e11|op1(e13,e11)=e12|op1(e13,e11)=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f1])).
% 10.92/1.93 fof(f34,plain,(
% 10.92/1.93 op1(e13,e12)=e10|op1(e13,e12)=e11|op1(e13,e12)=e12|op1(e13,e12)=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f1])).
% 10.92/1.93 fof(f37,plain,(
% 10.92/1.93 op1(e10,e10)=e10|op1(e11,e10)=e10|op1(e12,e10)=e10|op1(e13,e10)=e10),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f2])).
% 10.92/1.93 fof(f39,plain,(
% 10.92/1.93 op1(e10,e10)=e11|op1(e11,e10)=e11|op1(e12,e10)=e11|op1(e13,e10)=e11),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f2])).
% 10.92/1.93 fof(f42,plain,(
% 10.92/1.93 op1(e10,e10)=e13|op1(e10,e11)=e13|op1(e10,e12)=e13|op1(e10,e13)=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f2])).
% 10.92/1.93 fof(f43,plain,(
% 10.92/1.93 op1(e10,e10)=e13|op1(e11,e10)=e13|op1(e12,e10)=e13|op1(e13,e10)=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f2])).
% 10.92/1.93 fof(f44,plain,(
% 10.92/1.93 op1(e11,e10)=e10|op1(e11,e11)=e10|op1(e11,e12)=e10|op1(e11,e13)=e10),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f2])).
% 10.92/1.93 fof(f45,plain,(
% 10.92/1.93 op1(e10,e11)=e10|op1(e11,e11)=e10|op1(e12,e11)=e10|op1(e13,e11)=e10),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f2])).
% 10.92/1.93 fof(f54,plain,(
% 10.92/1.93 op1(e12,e10)=e11|op1(e12,e11)=e11|op1(e12,e12)=e11|op1(e12,e13)=e11),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f2])).
% 10.92/1.93 fof(f56,plain,(
% 10.92/1.93 op1(e12,e10)=e12|op1(e12,e11)=e12|op1(e12,e12)=e12|op1(e12,e13)=e12),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f2])).
% 10.92/1.93 fof(f63,plain,(
% 10.92/1.93 op1(e10,e13)=e11|op1(e11,e13)=e11|op1(e12,e13)=e11|op1(e13,e13)=e11),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f2])).
% 10.92/1.93 fof(f66,plain,(
% 10.92/1.93 op1(e13,e10)=e13|op1(e13,e11)=e13|op1(e13,e12)=e13|op1(e13,e13)=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f2])).
% 10.92/1.93 fof(f68,plain,(
% 10.92/1.93 op2(e20,e20)=e20|op2(e20,e20)=e21|op2(e20,e20)=e22|op2(e20,e20)=e23),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f3])).
% 10.92/1.93 fof(f70,plain,(
% 10.92/1.93 op2(e20,e22)=e20|op2(e20,e22)=e21|op2(e20,e22)=e22|op2(e20,e22)=e23),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f3])).
% 10.92/1.93 fof(f75,plain,(
% 10.92/1.93 op2(e21,e23)=e20|op2(e21,e23)=e21|op2(e21,e23)=e22|op2(e21,e23)=e23),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f3])).
% 10.92/1.93 fof(f79,plain,(
% 10.92/1.93 op2(e22,e23)=e20|op2(e22,e23)=e21|op2(e22,e23)=e22|op2(e22,e23)=e23),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f3])).
% 10.92/1.93 fof(f80,plain,(
% 10.92/1.93 op2(e23,e20)=e20|op2(e23,e20)=e21|op2(e23,e20)=e22|op2(e23,e20)=e23),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f3])).
% 10.92/1.93 fof(f81,plain,(
% 10.92/1.93 op2(e23,e21)=e20|op2(e23,e21)=e21|op2(e23,e21)=e22|op2(e23,e21)=e23),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f3])).
% 10.92/1.93 fof(f85,plain,(
% 10.92/1.93 op2(e20,e20)=e20|op2(e21,e20)=e20|op2(e22,e20)=e20|op2(e23,e20)=e20),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 10.92/1.93 fof(f87,plain,(
% 10.92/1.93 op2(e20,e20)=e21|op2(e21,e20)=e21|op2(e22,e20)=e21|op2(e23,e20)=e21),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 10.92/1.93 fof(f90,plain,(
% 10.92/1.93 op2(e20,e20)=e23|op2(e20,e21)=e23|op2(e20,e22)=e23|op2(e20,e23)=e23),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 10.92/1.93 fof(f91,plain,(
% 10.92/1.93 op2(e20,e20)=e23|op2(e21,e20)=e23|op2(e22,e20)=e23|op2(e23,e20)=e23),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 10.92/1.93 fof(f92,plain,(
% 10.92/1.93 op2(e21,e20)=e20|op2(e21,e21)=e20|op2(e21,e22)=e20|op2(e21,e23)=e20),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 10.92/1.93 fof(f93,plain,(
% 10.92/1.93 op2(e20,e21)=e20|op2(e21,e21)=e20|op2(e22,e21)=e20|op2(e23,e21)=e20),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 10.92/1.93 fof(f103,plain,(
% 10.92/1.93 op2(e20,e22)=e21|op2(e21,e22)=e21|op2(e22,e22)=e21|op2(e23,e22)=e21),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 10.92/1.93 fof(f104,plain,(
% 10.92/1.93 op2(e22,e20)=e22|op2(e22,e21)=e22|op2(e22,e22)=e22|op2(e22,e23)=e22),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 10.92/1.93 fof(f112,plain,(
% 10.92/1.93 op2(e23,e20)=e22|op2(e23,e21)=e22|op2(e23,e22)=e22|op2(e23,e23)=e22),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 10.92/1.93 fof(f113,plain,(
% 10.92/1.93 op2(e20,e23)=e22|op2(e21,e23)=e22|op2(e22,e23)=e22|op2(e23,e23)=e22),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 10.92/1.93 fof(f114,plain,(
% 10.92/1.93 op2(e23,e20)=e23|op2(e23,e21)=e23|op2(e23,e22)=e23|op2(e23,e23)=e23),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 10.92/1.93 fof(f116,plain,(
% 10.92/1.93 ~op1(e10,e10)=op1(e11,e10)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f117,plain,(
% 10.92/1.93 ~op1(e10,e10)=op1(e12,e10)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f118,plain,(
% 10.92/1.93 ~op1(e10,e10)=op1(e13,e10)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f121,plain,(
% 10.92/1.93 ~op1(e12,e10)=op1(e13,e10)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f123,plain,(
% 10.92/1.93 ~op1(e10,e11)=op1(e12,e11)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f126,plain,(
% 10.92/1.93 ~op1(e11,e11)=op1(e13,e11)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f127,plain,(
% 10.92/1.93 ~op1(e12,e11)=op1(e13,e11)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f129,plain,(
% 10.92/1.93 ~op1(e10,e12)=op1(e12,e12)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f130,plain,(
% 10.92/1.93 ~op1(e10,e12)=op1(e13,e12)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f134,plain,(
% 10.92/1.93 ~op1(e10,e13)=op1(e11,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f135,plain,(
% 10.92/1.93 ~op1(e10,e13)=op1(e12,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f136,plain,(
% 10.92/1.93 ~op1(e10,e13)=op1(e13,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f137,plain,(
% 10.92/1.93 ~op1(e11,e13)=op1(e12,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f138,plain,(
% 10.92/1.93 ~op1(e11,e13)=op1(e13,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f139,plain,(
% 10.92/1.93 ~op1(e12,e13)=op1(e13,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f140,plain,(
% 10.92/1.93 ~op1(e10,e10)=op1(e10,e11)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f141,plain,(
% 10.92/1.93 ~op1(e10,e10)=op1(e10,e12)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f142,plain,(
% 10.92/1.93 ~op1(e10,e10)=op1(e10,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f143,plain,(
% 10.92/1.93 ~op1(e10,e11)=op1(e10,e12)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f146,plain,(
% 10.92/1.93 ~op1(e11,e10)=op1(e11,e11)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f150,plain,(
% 10.92/1.93 ~op1(e11,e11)=op1(e11,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f152,plain,(
% 10.92/1.93 ~op1(e12,e10)=op1(e12,e11)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f154,plain,(
% 10.92/1.93 ~op1(e12,e10)=op1(e12,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f155,plain,(
% 10.92/1.93 ~op1(e12,e11)=op1(e12,e12)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f156,plain,(
% 10.92/1.93 ~op1(e12,e11)=op1(e12,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f158,plain,(
% 10.92/1.93 ~op1(e13,e10)=op1(e13,e11)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f159,plain,(
% 10.92/1.93 ~op1(e13,e10)=op1(e13,e12)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f160,plain,(
% 10.92/1.93 ~op1(e13,e10)=op1(e13,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f161,plain,(
% 10.92/1.93 ~op1(e13,e11)=op1(e13,e12)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f162,plain,(
% 10.92/1.93 ~op1(e13,e11)=op1(e13,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f163,plain,(
% 10.92/1.93 ~op1(e13,e12)=op1(e13,e13)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 10.92/1.93 fof(f164,plain,(
% 10.92/1.93 ~op2(e20,e20)=op2(e21,e20)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f166,plain,(
% 10.92/1.93 ~op2(e20,e20)=op2(e23,e20)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f169,plain,(
% 10.92/1.93 ~op2(e22,e20)=op2(e23,e20)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f171,plain,(
% 10.92/1.93 ~op2(e20,e21)=op2(e22,e21)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f174,plain,(
% 10.92/1.93 ~op2(e21,e21)=op2(e23,e21)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f175,plain,(
% 10.92/1.93 ~op2(e22,e21)=op2(e23,e21)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f178,plain,(
% 10.92/1.93 ~op2(e20,e22)=op2(e23,e22)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f186,plain,(
% 10.92/1.93 ~op2(e21,e23)=op2(e23,e23)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f187,plain,(
% 10.92/1.93 ~op2(e22,e23)=op2(e23,e23)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f188,plain,(
% 10.92/1.93 ~op2(e20,e20)=op2(e20,e21)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f189,plain,(
% 10.92/1.93 ~op2(e20,e20)=op2(e20,e22)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f190,plain,(
% 10.92/1.93 ~op2(e20,e20)=op2(e20,e23)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f191,plain,(
% 10.92/1.93 ~op2(e20,e21)=op2(e20,e22)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f196,plain,(
% 10.92/1.93 ~op2(e21,e20)=op2(e21,e23)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f198,plain,(
% 10.92/1.93 ~op2(e21,e21)=op2(e21,e23)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f200,plain,(
% 10.92/1.93 ~op2(e22,e20)=op2(e22,e21)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f202,plain,(
% 10.92/1.93 ~op2(e22,e20)=op2(e22,e23)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f203,plain,(
% 10.92/1.93 ~op2(e22,e21)=op2(e22,e22)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f204,plain,(
% 10.92/1.93 ~op2(e22,e21)=op2(e22,e23)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f206,plain,(
% 10.92/1.93 ~op2(e23,e20)=op2(e23,e21)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f208,plain,(
% 10.92/1.93 ~op2(e23,e20)=op2(e23,e23)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f209,plain,(
% 10.92/1.93 ~op2(e23,e21)=op2(e23,e22)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f210,plain,(
% 10.92/1.93 ~op2(e23,e21)=op2(e23,e23)),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 10.92/1.93 fof(f212,plain,(
% 10.92/1.93 ~e10=e11),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f7])).
% 10.92/1.93 fof(f213,plain,(
% 10.92/1.93 ~e10=e12),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f7])).
% 10.92/1.93 fof(f214,plain,(
% 10.92/1.93 ~e10=e13),
% 10.92/1.93 inference(cnf_transformation,[status(thm)],[f7])).
% 10.92/1.93 fof(f215,plain,(
% 10.92/1.94 ~e11=e12),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f7])).
% 10.92/1.94 fof(f216,plain,(
% 10.92/1.94 ~e11=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f7])).
% 10.92/1.94 fof(f217,plain,(
% 10.92/1.94 ~e12=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f7])).
% 10.92/1.94 fof(f218,plain,(
% 10.92/1.94 ~e20=e21),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f8])).
% 10.92/1.94 fof(f219,plain,(
% 10.92/1.94 ~e20=e22),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f8])).
% 10.92/1.94 fof(f220,plain,(
% 10.92/1.94 ~e20=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f8])).
% 10.92/1.94 fof(f221,plain,(
% 10.92/1.94 ~e21=e22),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f8])).
% 10.92/1.94 fof(f222,plain,(
% 10.92/1.94 ~e21=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f8])).
% 10.92/1.94 fof(f223,plain,(
% 10.92/1.94 ~e22=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f8])).
% 10.92/1.94 fof(f240,definition,(
% 10.92/1.94 sP0_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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 10.92/1.94 fof(f241,definition,(
% 10.92/1.94 sP1_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(e10,e10)=e10|op1(e10,e10)=e10))&(~op1(e11,e10)=e11|op1(e11,e11)=e10))&(~op1(e12,e10)=e12|op1(e12,e12)=e10))&(~op1(e13,e10)=e13|op1(e13,e13)=e10))|(((((((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(e10,e11)=e10|op1(e10,e10)=e11))&(~op1(e11,e11)=e11|op1(e11,e11)=e11))&(~op1(e12,e11)=e12|op1(e12,e12)=e11))&(~op1(e13,e11)=e13|op1(e13,e13)=e11)))|(((((((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(e10,e12)=e10|op1(e10,e10)=e12))&(~op1(e11,e12)=e11|op1(e11,e11)=e12))&(~op1(e12,e12)=e12|op1(e12,e12)=e12))&(~op1(e13,e12)=e13|op1(e13,e13)=e12)))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 10.92/1.94 fof(f242,plain,(
% 10.92/1.94 (sP0_prd|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))&(sP1_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)&(~op1(e10,e13)=e10|op1(e10,e10)=e13))&(~op1(e11,e13)=e11|op1(e11,e11)=e13))&(~op1(e12,e13)=e12|op1(e12,e12)=e13))&(~op1(e13,e13)=e13|op1(e13,e13)=e13)))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f10,f241,f240])).
% 10.92/1.94 fof(f243,plain,(
% 10.92/1.94 sP0_prd|op1(e13,e13)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f242])).
% 10.92/1.94 fof(f244,plain,(
% 10.92/1.94 sP0_prd|~op1(e13,e13)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f242])).
% 10.92/1.94 fof(f250,plain,(
% 10.92/1.94 sP1_prd|op1(e13,op1(e13,e13))=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f242])).
% 10.92/1.94 fof(f253,plain,(
% 10.92/1.94 sP1_prd|~op1(e12,e13)=e12|op1(e12,e12)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f242])).
% 10.92/1.94 fof(f255,definition,(
% 10.92/1.94 sP2_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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 10.92/1.94 fof(f256,definition,(
% 10.92/1.94 sP3_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(e20,e20)=e20|op2(e20,e20)=e20))&(~op2(e21,e20)=e21|op2(e21,e21)=e20))&(~op2(e22,e20)=e22|op2(e22,e22)=e20))&(~op2(e23,e20)=e23|op2(e23,e23)=e20))|(((((((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(e20,e21)=e20|op2(e20,e20)=e21))&(~op2(e21,e21)=e21|op2(e21,e21)=e21))&(~op2(e22,e21)=e22|op2(e22,e22)=e21))&(~op2(e23,e21)=e23|op2(e23,e23)=e21)))|(((((((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(e20,e22)=e20|op2(e20,e20)=e22))&(~op2(e21,e22)=e21|op2(e21,e21)=e22))&(~op2(e22,e22)=e22|op2(e22,e22)=e22))&(~op2(e23,e22)=e23|op2(e23,e23)=e22)))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 10.92/1.94 fof(f257,plain,(
% 10.92/1.94 (sP2_prd|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))&(sP3_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)&(~op2(e20,e23)=e20|op2(e20,e20)=e23))&(~op2(e21,e23)=e21|op2(e21,e21)=e23))&(~op2(e22,e23)=e22|op2(e22,e22)=e23))&(~op2(e23,e23)=e23|op2(e23,e23)=e23)))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f11,f256,f255])).
% 10.92/1.94 fof(f258,plain,(
% 10.92/1.94 sP2_prd|op2(e23,e23)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f257])).
% 10.92/1.94 fof(f259,plain,(
% 10.92/1.94 sP2_prd|~op2(e23,e23)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f257])).
% 10.92/1.94 fof(f265,plain,(
% 10.92/1.94 sP3_prd|op2(e23,op2(e23,e23))=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f257])).
% 10.92/1.94 fof(f268,plain,(
% 10.92/1.94 sP3_prd|~op2(e22,e23)=e22|op2(e22,e22)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f257])).
% 10.92/1.94 fof(f270,plain,(
% 10.92/1.94 e10=op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11))),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f12])).
% 10.92/1.94 fof(f271,plain,(
% 10.92/1.94 e12=op1(e11,e11)),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f12])).
% 10.92/1.94 fof(f272,plain,(
% 10.92/1.94 e13=op1(op1(e11,e11),e11)),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f12])).
% 10.92/1.94 fof(f273,plain,(
% 10.92/1.94 e20=op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21))),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f13])).
% 10.92/1.94 fof(f274,plain,(
% 10.92/1.94 e22=op2(e21,e21)),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f13])).
% 10.92/1.94 fof(f275,plain,(
% 10.92/1.94 e23=op2(op2(e21,e21),e21)),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f13])).
% 10.92/1.94 fof(f278,plain,(
% 10.92/1.94 h1(e12)=op2(e20,e20)),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f14])).
% 10.92/1.94 fof(f279,plain,(
% 10.92/1.94 h1(e13)=op2(op2(e20,e20),e20)),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f14])).
% 10.92/1.94 fof(f280,plain,(
% 10.92/1.94 h2(e11)=e21),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f15])).
% 10.92/1.94 fof(f281,plain,(
% 10.92/1.94 h2(e10)=op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21))),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f15])).
% 10.92/1.94 fof(f282,plain,(
% 10.92/1.94 h2(e12)=op2(e21,e21)),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f15])).
% 10.92/1.94 fof(f283,plain,(
% 10.92/1.94 h2(e13)=op2(op2(e21,e21),e21)),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f15])).
% 10.92/1.94 fof(f286,plain,(
% 10.92/1.94 h3(e12)=op2(e22,e22)),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f16])).
% 10.92/1.94 fof(f290,plain,(
% 10.92/1.94 h4(e12)=op2(e23,e23)),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f17])).
% 10.92/1.94 fof(f291,plain,(
% 10.92/1.94 h4(e13)=op2(op2(e23,e23),e23)),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f17])).
% 10.92/1.94 fof(f292,plain,(
% 10.92/1.94 ((((((((((((((((((((((~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)))),
% 10.92/1.94 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 10.92/1.94 fof(f293,definition,(
% 10.92/1.94 sP4_prd<=>(((~h1(e10)=e20&~h1(e11)=e20)&~h1(e12)=e20)&~h1(e13)=e20)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 10.92/1.94 fof(f294,definition,(
% 10.92/1.94 sP5_prd<=>(((~h1(e10)=e21&~h1(e11)=e21)&~h1(e12)=e21)&~h1(e13)=e21)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 10.92/1.94 fof(f295,definition,(
% 10.92/1.94 sP6_prd<=>(((~h1(e10)=e22&~h1(e11)=e22)&~h1(e12)=e22)&~h1(e13)=e22)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 10.92/1.94 fof(f296,definition,(
% 10.92/1.94 sP7_prd<=>(((~h2(e10)=e20&~h2(e11)=e20)&~h2(e12)=e20)&~h2(e13)=e20)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 10.92/1.94 fof(f297,definition,(
% 10.92/1.94 sP8_prd<=>(((~h2(e10)=e21&~h2(e11)=e21)&~h2(e12)=e21)&~h2(e13)=e21)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 10.92/1.94 fof(f298,definition,(
% 10.92/1.94 sP9_prd<=>(((~h2(e10)=e22&~h2(e11)=e22)&~h2(e12)=e22)&~h2(e13)=e22)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 10.92/1.94 fof(f299,definition,(
% 10.92/1.94 sP10_prd<=>(((~h3(e10)=e20&~h3(e11)=e20)&~h3(e12)=e20)&~h3(e13)=e20)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 10.92/1.94 fof(f300,definition,(
% 10.92/1.94 sP11_prd<=>(((~h3(e10)=e21&~h3(e11)=e21)&~h3(e12)=e21)&~h3(e13)=e21)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 10.92/1.94 fof(f301,definition,(
% 10.92/1.94 sP12_prd<=>(((~h3(e10)=e22&~h3(e11)=e22)&~h3(e12)=e22)&~h3(e13)=e22)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 10.92/1.94 fof(f302,definition,(
% 10.92/1.94 sP13_prd<=>(((~h4(e10)=e20&~h4(e11)=e20)&~h4(e12)=e20)&~h4(e13)=e20)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 10.92/1.94 fof(f303,definition,(
% 10.92/1.94 sP14_prd<=>(((~h4(e10)=e21&~h4(e11)=e21)&~h4(e12)=e21)&~h4(e13)=e21)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 10.92/1.94 fof(f304,definition,(
% 10.92/1.94 sP15_prd<=>(((~h4(e10)=e22&~h4(e11)=e22)&~h4(e12)=e22)&~h4(e13)=e22)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 10.92/1.94 fof(f305,plain,(
% 10.92/1.94 (((((((((((((((((((((~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))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f292,f304,f303,f302,f301,f300,f299,f298,f297,f296,f295,f294,f293])).
% 10.92/1.94 fof(f313,plain,(
% 10.92/1.94 ~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(e13)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f305])).
% 10.92/1.94 fof(f322,definition,(
% 10.92/1.94 sP16_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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP16_prd])],[])).
% 10.92/1.94 fof(f323,plain,(
% 10.92/1.94 sP0_prd<=>(sP16_prd|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f240,f322])).
% 10.92/1.94 fof(f324,plain,(
% 10.92/1.94 (~sP0_prd|(sP16_prd|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12)))&(sP0_prd|(~sP16_prd&(((~op1(e13,e13)=e13|op1(e13,e13)=e13)|~op1(e12,e12)=e13)|op1(e12,e13)=e12)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f323])).
% 10.92/1.94 fof(f325,plain,(
% 10.92/1.94 ~sP0_prd|sP16_prd|op1(e13,e13)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f324])).
% 10.92/1.94 fof(f326,plain,(
% 10.92/1.94 ~sP0_prd|sP16_prd|~op1(e13,e13)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f324])).
% 10.92/1.94 fof(f331,definition,(
% 10.92/1.94 sP17_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(e10,e10)=e10|op1(e10,e10)=e10))&(~op1(e11,e10)=e11|op1(e11,e11)=e10))&(~op1(e12,e10)=e12|op1(e12,e12)=e10))&(~op1(e13,e10)=e13|op1(e13,e13)=e10))|(((((((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(e10,e11)=e10|op1(e10,e10)=e11))&(~op1(e11,e11)=e11|op1(e11,e11)=e11))&(~op1(e12,e11)=e12|op1(e12,e12)=e11))&(~op1(e13,e11)=e13|op1(e13,e13)=e11)))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 10.92/1.94 fof(f332,plain,(
% 10.92/1.94 sP1_prd<=>(sP17_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)&(~op1(e10,e12)=e10|op1(e10,e10)=e12))&(~op1(e11,e12)=e11|op1(e11,e11)=e12))&(~op1(e12,e12)=e12|op1(e12,e12)=e12))&(~op1(e13,e12)=e13|op1(e13,e13)=e12)))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f241,f331])).
% 10.92/1.94 fof(f333,definition,(
% 10.92/1.94 sP18_prd<=>(~op1(e10,e12)=e10|op1(e10,e10)=e12)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 10.92/1.94 fof(f334,definition,(
% 10.92/1.94 sP19_prd<=>(~op1(e11,e12)=e11|op1(e11,e11)=e12)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 10.92/1.94 fof(f335,plain,(
% 10.92/1.94 sP1_prd<=>(sP17_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)&sP18_prd)&sP19_prd)&(~op1(e12,e12)=e12|op1(e12,e12)=e12))&(~op1(e13,e12)=e13|op1(e13,e13)=e12)))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f332,f334,f333])).
% 10.92/1.94 fof(f336,plain,(
% 10.92/1.94 (~sP1_prd|(sP17_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)&sP18_prd)&sP19_prd)&(~op1(e12,e12)=e12|op1(e12,e12)=e12))&(~op1(e13,e12)=e13|op1(e13,e13)=e12))))&(sP1_prd|(~sP17_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)|~sP18_prd)|~sP19_prd)|(op1(e12,e12)=e12&~op1(e12,e12)=e12))|(op1(e13,e12)=e13&~op1(e13,e13)=e12))))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f335])).
% 10.92/1.94 fof(f338,plain,(
% 10.92/1.94 ~sP1_prd|sP17_prd|op1(e12,op1(e12,e11))=e11),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f336])).
% 10.92/1.94 fof(f344,plain,(
% 10.92/1.94 ~sP1_prd|sP17_prd|~op1(e13,e12)=e13|op1(e13,e13)=e12),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f336])).
% 10.92/1.94 fof(f350,definition,(
% 10.92/1.94 sP20_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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP20_prd])],[])).
% 10.92/1.94 fof(f351,plain,(
% 10.92/1.94 sP2_prd<=>(sP20_prd|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f255,f350])).
% 10.92/1.94 fof(f352,plain,(
% 10.92/1.94 (~sP2_prd|(sP20_prd|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22)))&(sP2_prd|(~sP20_prd&(((~op2(e23,e23)=e23|op2(e23,e23)=e23)|~op2(e22,e22)=e23)|op2(e22,e23)=e22)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f351])).
% 10.92/1.94 fof(f353,plain,(
% 10.92/1.94 ~sP2_prd|sP20_prd|op2(e23,e23)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f352])).
% 10.92/1.94 fof(f354,plain,(
% 10.92/1.94 ~sP2_prd|sP20_prd|~op2(e23,e23)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f352])).
% 10.92/1.94 fof(f359,definition,(
% 10.92/1.94 sP21_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(e20,e20)=e20|op2(e20,e20)=e20))&(~op2(e21,e20)=e21|op2(e21,e21)=e20))&(~op2(e22,e20)=e22|op2(e22,e22)=e20))&(~op2(e23,e20)=e23|op2(e23,e23)=e20))|(((((((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(e20,e21)=e20|op2(e20,e20)=e21))&(~op2(e21,e21)=e21|op2(e21,e21)=e21))&(~op2(e22,e21)=e22|op2(e22,e22)=e21))&(~op2(e23,e21)=e23|op2(e23,e23)=e21)))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 10.92/1.94 fof(f360,plain,(
% 10.92/1.94 sP3_prd<=>(sP21_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)&(~op2(e20,e22)=e20|op2(e20,e20)=e22))&(~op2(e21,e22)=e21|op2(e21,e21)=e22))&(~op2(e22,e22)=e22|op2(e22,e22)=e22))&(~op2(e23,e22)=e23|op2(e23,e23)=e22)))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f256,f359])).
% 10.92/1.94 fof(f361,definition,(
% 10.92/1.94 sP22_prd<=>(~op2(e20,e22)=e20|op2(e20,e20)=e22)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 10.92/1.94 fof(f362,definition,(
% 10.92/1.94 sP23_prd<=>(~op2(e21,e22)=e21|op2(e21,e21)=e22)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 10.92/1.94 fof(f363,plain,(
% 10.92/1.94 sP3_prd<=>(sP21_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)&sP22_prd)&sP23_prd)&(~op2(e22,e22)=e22|op2(e22,e22)=e22))&(~op2(e23,e22)=e23|op2(e23,e23)=e22)))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f360,f362,f361])).
% 10.92/1.94 fof(f364,plain,(
% 10.92/1.94 (~sP3_prd|(sP21_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)&sP22_prd)&sP23_prd)&(~op2(e22,e22)=e22|op2(e22,e22)=e22))&(~op2(e23,e22)=e23|op2(e23,e23)=e22))))&(sP3_prd|(~sP21_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)|~sP22_prd)|~sP23_prd)|(op2(e22,e22)=e22&~op2(e22,e22)=e22))|(op2(e23,e22)=e23&~op2(e23,e23)=e22))))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f363])).
% 10.92/1.94 fof(f366,plain,(
% 10.92/1.94 ~sP3_prd|sP21_prd|op2(e22,op2(e22,e21))=e21),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f364])).
% 10.92/1.94 fof(f372,plain,(
% 10.92/1.94 ~sP3_prd|sP21_prd|~op2(e23,e22)=e23|op2(e23,e23)=e22),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f364])).
% 10.92/1.94 fof(f396,plain,(
% 10.92/1.94 (~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))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f296])).
% 10.92/1.94 fof(f397,plain,(
% 10.92/1.94 ~sP7_prd|~h2(e10)=e20),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f396])).
% 10.92/1.94 fof(f402,plain,(
% 10.92/1.94 (~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))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f297])).
% 10.92/1.94 fof(f404,plain,(
% 10.92/1.94 ~sP8_prd|~h2(e11)=e21),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f402])).
% 10.92/1.94 fof(f408,plain,(
% 10.92/1.94 (~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))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f298])).
% 10.92/1.94 fof(f411,plain,(
% 10.92/1.94 ~sP9_prd|~h2(e12)=e22),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f408])).
% 10.92/1.94 fof(f450,definition,(
% 10.92/1.94 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP24_prd])],[])).
% 10.92/1.94 fof(f451,plain,(
% 10.92/1.94 sP16_prd<=>(sP24_prd|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f322,f450])).
% 10.92/1.94 fof(f452,plain,(
% 10.92/1.94 (~sP16_prd|(sP24_prd|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11)))&(sP16_prd|(~sP24_prd&(((~op1(e13,e13)=e13|op1(e13,e13)=e13)|~op1(e11,e11)=e13)|op1(e11,e13)=e11)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f451])).
% 10.92/1.94 fof(f453,plain,(
% 10.92/1.94 ~sP16_prd|sP24_prd|op1(e13,e13)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f452])).
% 10.92/1.94 fof(f454,plain,(
% 10.92/1.94 ~sP16_prd|sP24_prd|~op1(e13,e13)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f452])).
% 10.92/1.94 fof(f459,definition,(
% 10.92/1.94 sP25_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(e10,e10)=e10|op1(e10,e10)=e10))&(~op1(e11,e10)=e11|op1(e11,e11)=e10))&(~op1(e12,e10)=e12|op1(e12,e12)=e10))&(~op1(e13,e10)=e13|op1(e13,e13)=e10))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP25_prd])],[])).
% 10.92/1.94 fof(f460,plain,(
% 10.92/1.94 sP17_prd<=>(sP25_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)&(~op1(e10,e11)=e10|op1(e10,e10)=e11))&(~op1(e11,e11)=e11|op1(e11,e11)=e11))&(~op1(e12,e11)=e12|op1(e12,e12)=e11))&(~op1(e13,e11)=e13|op1(e13,e13)=e11)))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f331,f459])).
% 10.92/1.94 fof(f461,definition,(
% 10.92/1.94 sP26_prd<=>(~op1(e10,e11)=e10|op1(e10,e10)=e11)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP26_prd])],[])).
% 10.92/1.94 fof(f462,definition,(
% 10.92/1.94 sP27_prd<=>(~op1(e11,e11)=e11|op1(e11,e11)=e11)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP27_prd])],[])).
% 10.92/1.94 fof(f463,plain,(
% 10.92/1.94 sP17_prd<=>(sP25_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)&sP26_prd)&sP27_prd)&(~op1(e12,e11)=e12|op1(e12,e12)=e11))&(~op1(e13,e11)=e13|op1(e13,e13)=e11)))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f460,f462,f461])).
% 10.92/1.94 fof(f464,plain,(
% 10.92/1.94 (~sP17_prd|(sP25_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)&sP26_prd)&sP27_prd)&(~op1(e12,e11)=e12|op1(e12,e12)=e11))&(~op1(e13,e11)=e13|op1(e13,e13)=e11))))&(sP17_prd|(~sP25_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)|~sP26_prd)|~sP27_prd)|(op1(e12,e11)=e12&~op1(e12,e12)=e11))|(op1(e13,e11)=e13&~op1(e13,e13)=e11))))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f463])).
% 10.92/1.94 fof(f469,plain,(
% 10.92/1.94 ~sP17_prd|sP25_prd|sP26_prd),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f464])).
% 10.92/1.94 fof(f486,definition,(
% 10.92/1.94 sP28_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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP28_prd])],[])).
% 10.92/1.94 fof(f487,plain,(
% 10.92/1.94 sP20_prd<=>(sP28_prd|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f350,f486])).
% 10.92/1.94 fof(f488,plain,(
% 10.92/1.94 (~sP20_prd|(sP28_prd|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21)))&(sP20_prd|(~sP28_prd&(((~op2(e23,e23)=e23|op2(e23,e23)=e23)|~op2(e21,e21)=e23)|op2(e21,e23)=e21)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f487])).
% 10.92/1.94 fof(f489,plain,(
% 10.92/1.94 ~sP20_prd|sP28_prd|op2(e23,e23)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f488])).
% 10.92/1.94 fof(f490,plain,(
% 10.92/1.94 ~sP20_prd|sP28_prd|~op2(e23,e23)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f488])).
% 10.92/1.94 fof(f495,definition,(
% 10.92/1.94 sP29_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(e20,e20)=e20|op2(e20,e20)=e20))&(~op2(e21,e20)=e21|op2(e21,e21)=e20))&(~op2(e22,e20)=e22|op2(e22,e22)=e20))&(~op2(e23,e20)=e23|op2(e23,e23)=e20))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP29_prd])],[])).
% 10.92/1.94 fof(f496,plain,(
% 10.92/1.94 sP21_prd<=>(sP29_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)&(~op2(e20,e21)=e20|op2(e20,e20)=e21))&(~op2(e21,e21)=e21|op2(e21,e21)=e21))&(~op2(e22,e21)=e22|op2(e22,e22)=e21))&(~op2(e23,e21)=e23|op2(e23,e23)=e21)))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f359,f495])).
% 10.92/1.94 fof(f497,definition,(
% 10.92/1.94 sP30_prd<=>(~op2(e20,e21)=e20|op2(e20,e20)=e21)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP30_prd])],[])).
% 10.92/1.94 fof(f498,definition,(
% 10.92/1.94 sP31_prd<=>(~op2(e21,e21)=e21|op2(e21,e21)=e21)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP31_prd])],[])).
% 10.92/1.94 fof(f499,plain,(
% 10.92/1.94 sP21_prd<=>(sP29_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)&sP30_prd)&sP31_prd)&(~op2(e22,e21)=e22|op2(e22,e22)=e21))&(~op2(e23,e21)=e23|op2(e23,e23)=e21)))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f496,f498,f497])).
% 10.92/1.94 fof(f500,plain,(
% 10.92/1.94 (~sP21_prd|(sP29_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)&sP30_prd)&sP31_prd)&(~op2(e22,e21)=e22|op2(e22,e22)=e21))&(~op2(e23,e21)=e23|op2(e23,e23)=e21))))&(sP21_prd|(~sP29_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)|~sP30_prd)|~sP31_prd)|(op2(e22,e21)=e22&~op2(e22,e22)=e21))|(op2(e23,e21)=e23&~op2(e23,e23)=e21))))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f499])).
% 10.92/1.94 fof(f505,plain,(
% 10.92/1.94 ~sP21_prd|sP29_prd|sP30_prd),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f500])).
% 10.92/1.94 fof(f522,definition,(
% 10.92/1.94 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP32_prd])],[])).
% 10.92/1.94 fof(f523,plain,(
% 10.92/1.94 sP24_prd<=>(sP32_prd|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f450,f522])).
% 10.92/1.94 fof(f524,plain,(
% 10.92/1.94 (~sP24_prd|(sP32_prd|(((op1(e13,e13)=e13&~op1(e13,e13)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10)))&(sP24_prd|(~sP32_prd&(((~op1(e13,e13)=e13|op1(e13,e13)=e13)|~op1(e10,e10)=e13)|op1(e10,e13)=e10)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f523])).
% 10.92/1.94 fof(f525,plain,(
% 10.92/1.94 ~sP24_prd|sP32_prd|op1(e13,e13)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f524])).
% 10.92/1.94 fof(f526,plain,(
% 10.92/1.94 ~sP24_prd|sP32_prd|~op1(e13,e13)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f524])).
% 10.92/1.94 fof(f531,definition,(
% 10.92/1.94 sP33_prd<=>(~op1(e10,e10)=e10|op1(e10,e10)=e10)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP33_prd])],[])).
% 10.92/1.94 fof(f532,definition,(
% 10.92/1.94 sP34_prd<=>(~op1(e11,e10)=e11|op1(e11,e11)=e10)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP34_prd])],[])).
% 10.92/1.94 fof(f533,plain,(
% 10.92/1.94 sP25_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)&sP33_prd)&sP34_prd)&(~op1(e12,e10)=e12|op1(e12,e12)=e10))&(~op1(e13,e10)=e13|op1(e13,e13)=e10))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f459,f532,f531])).
% 10.92/1.94 fof(f534,plain,(
% 10.92/1.94 (~sP25_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)&sP33_prd)&sP34_prd)&(~op1(e12,e10)=e12|op1(e12,e12)=e10))&(~op1(e13,e10)=e13|op1(e13,e13)=e10)))&(sP25_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)|~sP33_prd)|~sP34_prd)|(op1(e12,e10)=e12&~op1(e12,e12)=e10))|(op1(e13,e10)=e13&~op1(e13,e13)=e10)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f533])).
% 10.92/1.94 fof(f536,plain,(
% 10.92/1.94 ~sP25_prd|op1(e10,op1(e10,e11))=e11),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f534])).
% 10.92/1.94 fof(f547,plain,(
% 10.92/1.94 (~sP26_prd|(~op1(e10,e11)=e10|op1(e10,e10)=e11))&(sP26_prd|(op1(e10,e11)=e10&~op1(e10,e10)=e11))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f461])).
% 10.92/1.94 fof(f548,plain,(
% 10.92/1.94 ~sP26_prd|~op1(e10,e11)=e10|op1(e10,e10)=e11),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f547])).
% 10.92/1.94 fof(f555,definition,(
% 10.92/1.94 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP35_prd])],[])).
% 10.92/1.94 fof(f556,plain,(
% 10.92/1.94 sP28_prd<=>(sP35_prd|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f486,f555])).
% 10.92/1.94 fof(f557,plain,(
% 10.92/1.94 (~sP28_prd|(sP35_prd|(((op2(e23,e23)=e23&~op2(e23,e23)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20)))&(sP28_prd|(~sP35_prd&(((~op2(e23,e23)=e23|op2(e23,e23)=e23)|~op2(e20,e20)=e23)|op2(e20,e23)=e20)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f556])).
% 10.92/1.94 fof(f558,plain,(
% 10.92/1.94 ~sP28_prd|sP35_prd|op2(e23,e23)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f557])).
% 10.92/1.94 fof(f559,plain,(
% 10.92/1.94 ~sP28_prd|sP35_prd|~op2(e23,e23)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f557])).
% 10.92/1.94 fof(f564,definition,(
% 10.92/1.94 sP36_prd<=>(~op2(e20,e20)=e20|op2(e20,e20)=e20)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP36_prd])],[])).
% 10.92/1.94 fof(f565,definition,(
% 10.92/1.94 sP37_prd<=>(~op2(e21,e20)=e21|op2(e21,e21)=e20)),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP37_prd])],[])).
% 10.92/1.94 fof(f566,plain,(
% 10.92/1.94 sP29_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)&sP36_prd)&sP37_prd)&(~op2(e22,e20)=e22|op2(e22,e22)=e20))&(~op2(e23,e20)=e23|op2(e23,e23)=e20))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f495,f565,f564])).
% 10.92/1.94 fof(f567,plain,(
% 10.92/1.94 (~sP29_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)&sP36_prd)&sP37_prd)&(~op2(e22,e20)=e22|op2(e22,e22)=e20))&(~op2(e23,e20)=e23|op2(e23,e23)=e20)))&(sP29_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)|~sP36_prd)|~sP37_prd)|(op2(e22,e20)=e22&~op2(e22,e22)=e20))|(op2(e23,e20)=e23&~op2(e23,e23)=e20)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f566])).
% 10.92/1.94 fof(f569,plain,(
% 10.92/1.94 ~sP29_prd|op2(e20,op2(e20,e21))=e21),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f567])).
% 10.92/1.94 fof(f580,plain,(
% 10.92/1.94 (~sP30_prd|(~op2(e20,e21)=e20|op2(e20,e20)=e21))&(sP30_prd|(op2(e20,e21)=e20&~op2(e20,e20)=e21))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f497])).
% 10.92/1.94 fof(f581,plain,(
% 10.92/1.94 ~sP30_prd|~op2(e20,e21)=e20|op2(e20,e20)=e21),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f580])).
% 10.92/1.94 fof(f588,definition,(
% 10.92/1.94 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP38_prd])],[])).
% 10.92/1.94 fof(f589,plain,(
% 10.92/1.94 sP32_prd<=>(sP38_prd|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f522,f588])).
% 10.92/1.94 fof(f590,plain,(
% 10.92/1.94 (~sP32_prd|(sP38_prd|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13)))&(sP32_prd|(~sP38_prd&(((~op1(e13,e12)=e13|op1(e13,e13)=e12)|~op1(e13,e13)=e12)|op1(e13,e12)=e13)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f589])).
% 10.92/1.94 fof(f592,plain,(
% 10.92/1.94 ~sP32_prd|sP38_prd|~op1(e13,e13)=e12),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f590])).
% 10.92/1.94 fof(f593,plain,(
% 10.92/1.94 ~sP32_prd|sP38_prd|op1(e13,e13)=e12),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f590])).
% 10.92/1.94 fof(f605,definition,(
% 10.92/1.94 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP39_prd])],[])).
% 10.92/1.94 fof(f606,plain,(
% 10.92/1.94 sP35_prd<=>(sP39_prd|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f555,f605])).
% 10.92/1.94 fof(f607,plain,(
% 10.92/1.94 (~sP35_prd|(sP39_prd|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23)))&(sP35_prd|(~sP39_prd&(((~op2(e23,e22)=e23|op2(e23,e23)=e22)|~op2(e23,e23)=e22)|op2(e23,e22)=e23)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f606])).
% 10.92/1.94 fof(f609,plain,(
% 10.92/1.94 ~sP35_prd|sP39_prd|~op2(e23,e23)=e22),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f607])).
% 10.92/1.94 fof(f610,plain,(
% 10.92/1.94 ~sP35_prd|sP39_prd|op2(e23,e23)=e22),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f607])).
% 10.92/1.94 fof(f622,definition,(
% 10.92/1.94 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP40_prd])],[])).
% 10.92/1.94 fof(f623,plain,(
% 10.92/1.94 sP38_prd<=>(sP40_prd|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f588,f622])).
% 10.92/1.94 fof(f624,plain,(
% 10.92/1.94 (~sP38_prd|(sP40_prd|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12)))&(sP38_prd|(~sP40_prd&(((~op1(e13,e12)=e13|op1(e13,e13)=e12)|~op1(e12,e12)=e12)|op1(e12,e12)=e12)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f623])).
% 10.92/1.94 fof(f627,plain,(
% 10.92/1.94 ~sP38_prd|sP40_prd|op1(e12,e12)=e12),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f624])).
% 10.92/1.94 fof(f628,plain,(
% 10.92/1.94 ~sP38_prd|sP40_prd|~op1(e12,e12)=e12),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f624])).
% 10.92/1.94 fof(f631,definition,(
% 10.92/1.94 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP41_prd])],[])).
% 10.92/1.94 fof(f632,plain,(
% 10.92/1.94 sP39_prd<=>(sP41_prd|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f605,f631])).
% 10.92/1.94 fof(f633,plain,(
% 10.92/1.94 (~sP39_prd|(sP41_prd|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22)))&(sP39_prd|(~sP41_prd&(((~op2(e23,e22)=e23|op2(e23,e23)=e22)|~op2(e22,e22)=e22)|op2(e22,e22)=e22)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f632])).
% 10.92/1.94 fof(f636,plain,(
% 10.92/1.94 ~sP39_prd|sP41_prd|op2(e22,e22)=e22),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f633])).
% 10.92/1.94 fof(f637,plain,(
% 10.92/1.94 ~sP39_prd|sP41_prd|~op2(e22,e22)=e22),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f633])).
% 10.92/1.94 fof(f640,definition,(
% 10.92/1.94 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP42_prd])],[])).
% 10.92/1.94 fof(f641,plain,(
% 10.92/1.94 sP40_prd<=>(sP42_prd|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f622,f640])).
% 10.92/1.94 fof(f642,plain,(
% 10.92/1.94 (~sP40_prd|(sP42_prd|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11)))&(sP40_prd|(~sP42_prd&(((~op1(e13,e12)=e13|op1(e13,e13)=e12)|~op1(e11,e11)=e12)|op1(e11,e12)=e11)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f641])).
% 10.92/1.94 fof(f643,plain,(
% 10.92/1.94 ~sP40_prd|sP42_prd|op1(e13,e12)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f642])).
% 10.92/1.94 fof(f649,definition,(
% 10.92/1.94 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP43_prd])],[])).
% 10.92/1.94 fof(f650,plain,(
% 10.92/1.94 sP41_prd<=>(sP43_prd|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f631,f649])).
% 10.92/1.94 fof(f651,plain,(
% 10.92/1.94 (~sP41_prd|(sP43_prd|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21)))&(sP41_prd|(~sP43_prd&(((~op2(e23,e22)=e23|op2(e23,e23)=e22)|~op2(e21,e21)=e22)|op2(e21,e22)=e21)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f650])).
% 10.92/1.94 fof(f652,plain,(
% 10.92/1.94 ~sP41_prd|sP43_prd|op2(e23,e22)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f651])).
% 10.92/1.94 fof(f658,definition,(
% 10.92/1.94 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP44_prd])],[])).
% 10.92/1.94 fof(f659,plain,(
% 10.92/1.94 sP42_prd<=>(sP44_prd|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f640,f658])).
% 10.92/1.94 fof(f660,plain,(
% 10.92/1.94 (~sP42_prd|(sP44_prd|(((op1(e13,e12)=e13&~op1(e13,e13)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10)))&(sP42_prd|(~sP44_prd&(((~op1(e13,e12)=e13|op1(e13,e13)=e12)|~op1(e10,e10)=e12)|op1(e10,e12)=e10)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f659])).
% 10.92/1.94 fof(f661,plain,(
% 10.92/1.94 ~sP42_prd|sP44_prd|op1(e13,e12)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f660])).
% 10.92/1.94 fof(f667,definition,(
% 10.92/1.94 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP45_prd])],[])).
% 10.92/1.94 fof(f668,plain,(
% 10.92/1.94 sP43_prd<=>(sP45_prd|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f649,f667])).
% 10.92/1.94 fof(f669,plain,(
% 10.92/1.94 (~sP43_prd|(sP45_prd|(((op2(e23,e22)=e23&~op2(e23,e23)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20)))&(sP43_prd|(~sP45_prd&(((~op2(e23,e22)=e23|op2(e23,e23)=e22)|~op2(e20,e20)=e22)|op2(e20,e22)=e20)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f668])).
% 10.92/1.94 fof(f670,plain,(
% 10.92/1.94 ~sP43_prd|sP45_prd|op2(e23,e22)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f669])).
% 10.92/1.94 fof(f676,definition,(
% 10.92/1.94 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP46_prd])],[])).
% 10.92/1.94 fof(f677,plain,(
% 10.92/1.94 sP44_prd<=>(sP46_prd|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f658,f676])).
% 10.92/1.94 fof(f678,plain,(
% 10.92/1.94 (~sP44_prd|(sP46_prd|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13)))&(sP44_prd|(~sP46_prd&(((~op1(e13,e11)=e13|op1(e13,e13)=e11)|~op1(e13,e13)=e11)|op1(e13,e11)=e13)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f677])).
% 10.92/1.94 fof(f680,plain,(
% 10.92/1.94 ~sP44_prd|sP46_prd|~op1(e13,e13)=e11),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f678])).
% 10.92/1.94 fof(f681,plain,(
% 10.92/1.94 ~sP44_prd|sP46_prd|op1(e13,e13)=e11),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f678])).
% 10.92/1.94 fof(f685,definition,(
% 10.92/1.94 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP47_prd])],[])).
% 10.92/1.94 fof(f686,plain,(
% 10.92/1.94 sP45_prd<=>(sP47_prd|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f667,f685])).
% 10.92/1.94 fof(f687,plain,(
% 10.92/1.94 (~sP45_prd|(sP47_prd|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23)))&(sP45_prd|(~sP47_prd&(((~op2(e23,e21)=e23|op2(e23,e23)=e21)|~op2(e23,e23)=e21)|op2(e23,e21)=e23)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f686])).
% 10.92/1.94 fof(f689,plain,(
% 10.92/1.94 ~sP45_prd|sP47_prd|~op2(e23,e23)=e21),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f687])).
% 10.92/1.94 fof(f690,plain,(
% 10.92/1.94 ~sP45_prd|sP47_prd|op2(e23,e23)=e21),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f687])).
% 10.92/1.94 fof(f694,definition,(
% 10.92/1.94 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP48_prd])],[])).
% 10.92/1.94 fof(f695,plain,(
% 10.92/1.94 sP46_prd<=>(sP48_prd|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f676,f694])).
% 10.92/1.94 fof(f696,plain,(
% 10.92/1.94 (~sP46_prd|(sP48_prd|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12)))&(sP46_prd|(~sP48_prd&(((~op1(e13,e11)=e13|op1(e13,e13)=e11)|~op1(e12,e12)=e11)|op1(e12,e11)=e12)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f695])).
% 10.92/1.94 fof(f697,plain,(
% 10.92/1.94 ~sP46_prd|sP48_prd|op1(e13,e11)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f696])).
% 10.92/1.94 fof(f703,definition,(
% 10.92/1.94 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP49_prd])],[])).
% 10.92/1.94 fof(f704,plain,(
% 10.92/1.94 sP47_prd<=>(sP49_prd|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f685,f703])).
% 10.92/1.94 fof(f705,plain,(
% 10.92/1.94 (~sP47_prd|(sP49_prd|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22)))&(sP47_prd|(~sP49_prd&(((~op2(e23,e21)=e23|op2(e23,e23)=e21)|~op2(e22,e22)=e21)|op2(e22,e21)=e22)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f704])).
% 10.92/1.94 fof(f706,plain,(
% 10.92/1.94 ~sP47_prd|sP49_prd|op2(e23,e21)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f705])).
% 10.92/1.94 fof(f712,definition,(
% 10.92/1.94 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP50_prd])],[])).
% 10.92/1.94 fof(f713,plain,(
% 10.92/1.94 sP48_prd<=>(sP50_prd|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f694,f712])).
% 10.92/1.94 fof(f714,plain,(
% 10.92/1.94 (~sP48_prd|(sP50_prd|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11)))&(sP48_prd|(~sP50_prd&(((~op1(e13,e11)=e13|op1(e13,e13)=e11)|~op1(e11,e11)=e11)|op1(e11,e11)=e11)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f713])).
% 10.92/1.94 fof(f717,plain,(
% 10.92/1.94 ~sP48_prd|sP50_prd|op1(e11,e11)=e11),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f714])).
% 10.92/1.94 fof(f721,definition,(
% 10.92/1.94 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP51_prd])],[])).
% 10.92/1.94 fof(f722,plain,(
% 10.92/1.94 sP49_prd<=>(sP51_prd|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f703,f721])).
% 10.92/1.94 fof(f723,plain,(
% 10.92/1.94 (~sP49_prd|(sP51_prd|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21)))&(sP49_prd|(~sP51_prd&(((~op2(e23,e21)=e23|op2(e23,e23)=e21)|~op2(e21,e21)=e21)|op2(e21,e21)=e21)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f722])).
% 10.92/1.94 fof(f726,plain,(
% 10.92/1.94 ~sP49_prd|sP51_prd|op2(e21,e21)=e21),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f723])).
% 10.92/1.94 fof(f730,definition,(
% 10.92/1.94 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP52_prd])],[])).
% 10.92/1.94 fof(f731,plain,(
% 10.92/1.94 sP50_prd<=>(sP52_prd|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f712,f730])).
% 10.92/1.94 fof(f732,plain,(
% 10.92/1.94 (~sP50_prd|(sP52_prd|(((op1(e13,e11)=e13&~op1(e13,e13)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10)))&(sP50_prd|(~sP52_prd&(((~op1(e13,e11)=e13|op1(e13,e13)=e11)|~op1(e10,e10)=e11)|op1(e10,e11)=e10)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f731])).
% 10.92/1.94 fof(f733,plain,(
% 10.92/1.94 ~sP50_prd|sP52_prd|op1(e13,e11)=e13),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f732])).
% 10.92/1.94 fof(f739,definition,(
% 10.92/1.94 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP53_prd])],[])).
% 10.92/1.94 fof(f740,plain,(
% 10.92/1.94 sP51_prd<=>(sP53_prd|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f721,f739])).
% 10.92/1.94 fof(f741,plain,(
% 10.92/1.94 (~sP51_prd|(sP53_prd|(((op2(e23,e21)=e23&~op2(e23,e23)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20)))&(sP51_prd|(~sP53_prd&(((~op2(e23,e21)=e23|op2(e23,e23)=e21)|~op2(e20,e20)=e21)|op2(e20,e21)=e20)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f740])).
% 10.92/1.94 fof(f742,plain,(
% 10.92/1.94 ~sP51_prd|sP53_prd|op2(e23,e21)=e23),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f741])).
% 10.92/1.94 fof(f748,definition,(
% 10.92/1.94 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))),
% 10.92/1.94 introduced(definition,[new_symbols(definition,[sP54_prd])],[])).
% 10.92/1.94 fof(f749,plain,(
% 10.92/1.94 sP52_prd<=>(sP54_prd|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))),
% 10.92/1.94 inference(formula_renaming,[status(thm)],[f730,f748])).
% 10.92/1.94 fof(f750,plain,(
% 10.92/1.94 (~sP52_prd|(sP54_prd|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13)))&(sP52_prd|(~sP54_prd&(((~op1(e13,e10)=e13|op1(e13,e13)=e10)|~op1(e13,e13)=e10)|op1(e13,e10)=e13)))),
% 10.92/1.94 inference(NNF_transformation,[status(thm)],[f749])).
% 10.92/1.94 fof(f752,plain,(
% 10.92/1.94 ~sP52_prd|sP54_prd|~op1(e13,e13)=e10),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f750])).
% 10.92/1.94 fof(f753,plain,(
% 10.92/1.94 ~sP52_prd|sP54_prd|op1(e13,e13)=e10),
% 10.92/1.94 inference(cnf_transformation,[status(thm)],[f750])).
% 10.92/1.94 fof(f757,definition,(
% 10.92/1.94 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP55_prd])],[])).
% 10.92/1.95 fof(f758,plain,(
% 10.92/1.95 sP53_prd<=>(sP55_prd|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f739,f757])).
% 10.92/1.95 fof(f759,plain,(
% 10.92/1.95 (~sP53_prd|(sP55_prd|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23)))&(sP53_prd|(~sP55_prd&(((~op2(e23,e20)=e23|op2(e23,e23)=e20)|~op2(e23,e23)=e20)|op2(e23,e20)=e23)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f758])).
% 10.92/1.95 fof(f761,plain,(
% 10.92/1.95 ~sP53_prd|sP55_prd|~op2(e23,e23)=e20),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f759])).
% 10.92/1.95 fof(f762,plain,(
% 10.92/1.95 ~sP53_prd|sP55_prd|op2(e23,e23)=e20),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f759])).
% 10.92/1.95 fof(f766,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP56_prd])],[])).
% 10.92/1.95 fof(f767,plain,(
% 10.92/1.95 sP54_prd<=>(sP56_prd|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f748,f766])).
% 10.92/1.95 fof(f768,plain,(
% 10.92/1.95 (~sP54_prd|(sP56_prd|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12)))&(sP54_prd|(~sP56_prd&(((~op1(e13,e10)=e13|op1(e13,e13)=e10)|~op1(e12,e12)=e10)|op1(e12,e10)=e12)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f767])).
% 10.92/1.95 fof(f770,plain,(
% 10.92/1.95 ~sP54_prd|sP56_prd|~op1(e13,e13)=e10),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f768])).
% 10.92/1.95 fof(f775,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP57_prd])],[])).
% 10.92/1.95 fof(f776,plain,(
% 10.92/1.95 sP55_prd<=>(sP57_prd|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f757,f775])).
% 10.92/1.95 fof(f777,plain,(
% 10.92/1.95 (~sP55_prd|(sP57_prd|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22)))&(sP55_prd|(~sP57_prd&(((~op2(e23,e20)=e23|op2(e23,e23)=e20)|~op2(e22,e22)=e20)|op2(e22,e20)=e22)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f776])).
% 10.92/1.95 fof(f779,plain,(
% 10.92/1.95 ~sP55_prd|sP57_prd|~op2(e23,e23)=e20),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f777])).
% 10.92/1.95 fof(f784,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP58_prd])],[])).
% 10.92/1.95 fof(f785,plain,(
% 10.92/1.95 sP56_prd<=>(sP58_prd|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f766,f784])).
% 10.92/1.95 fof(f786,plain,(
% 10.92/1.95 (~sP56_prd|(sP58_prd|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11)))&(sP56_prd|(~sP58_prd&(((~op1(e13,e10)=e13|op1(e13,e13)=e10)|~op1(e11,e11)=e10)|op1(e11,e10)=e11)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f785])).
% 10.92/1.95 fof(f789,plain,(
% 10.92/1.95 ~sP56_prd|sP58_prd|op1(e11,e11)=e10),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f786])).
% 10.92/1.95 fof(f793,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP59_prd])],[])).
% 10.92/1.95 fof(f794,plain,(
% 10.92/1.95 sP57_prd<=>(sP59_prd|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f775,f793])).
% 10.92/1.95 fof(f795,plain,(
% 10.92/1.95 (~sP57_prd|(sP59_prd|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21)))&(sP57_prd|(~sP59_prd&(((~op2(e23,e20)=e23|op2(e23,e23)=e20)|~op2(e21,e21)=e20)|op2(e21,e20)=e21)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f794])).
% 10.92/1.95 fof(f798,plain,(
% 10.92/1.95 ~sP57_prd|sP59_prd|op2(e21,e21)=e20),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f795])).
% 10.92/1.95 fof(f802,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP60_prd])],[])).
% 10.92/1.95 fof(f803,plain,(
% 10.92/1.95 sP58_prd<=>(sP60_prd|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f784,f802])).
% 10.92/1.95 fof(f804,plain,(
% 10.92/1.95 (~sP58_prd|(sP60_prd|(((op1(e13,e10)=e13&~op1(e13,e13)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10)))&(sP58_prd|(~sP60_prd&(((~op1(e13,e10)=e13|op1(e13,e13)=e10)|~op1(e10,e10)=e10)|op1(e10,e10)=e10)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f803])).
% 10.92/1.95 fof(f807,plain,(
% 10.92/1.95 ~sP58_prd|sP60_prd|op1(e10,e10)=e10),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f804])).
% 10.92/1.95 fof(f808,plain,(
% 10.92/1.95 ~sP58_prd|sP60_prd|~op1(e10,e10)=e10),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f804])).
% 10.92/1.95 fof(f811,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP61_prd])],[])).
% 10.92/1.95 fof(f812,plain,(
% 10.92/1.95 sP59_prd<=>(sP61_prd|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f793,f811])).
% 10.92/1.95 fof(f813,plain,(
% 10.92/1.95 (~sP59_prd|(sP61_prd|(((op2(e23,e20)=e23&~op2(e23,e23)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20)))&(sP59_prd|(~sP61_prd&(((~op2(e23,e20)=e23|op2(e23,e23)=e20)|~op2(e20,e20)=e20)|op2(e20,e20)=e20)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f812])).
% 10.92/1.95 fof(f816,plain,(
% 10.92/1.95 ~sP59_prd|sP61_prd|op2(e20,e20)=e20),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f813])).
% 10.92/1.95 fof(f817,plain,(
% 10.92/1.95 ~sP59_prd|sP61_prd|~op2(e20,e20)=e20),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f813])).
% 10.92/1.95 fof(f820,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP62_prd])],[])).
% 10.92/1.95 fof(f821,plain,(
% 10.92/1.95 sP60_prd<=>(sP62_prd|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f802,f820])).
% 10.92/1.95 fof(f822,plain,(
% 10.92/1.95 (~sP60_prd|(sP62_prd|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13)))&(sP60_prd|(~sP62_prd&(((~op1(e12,e13)=e12|op1(e12,e12)=e13)|~op1(e13,e13)=e13)|op1(e13,e13)=e13)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f821])).
% 10.92/1.95 fof(f825,plain,(
% 10.92/1.95 ~sP60_prd|sP62_prd|op1(e13,e13)=e13),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f822])).
% 10.92/1.95 fof(f826,plain,(
% 10.92/1.95 ~sP60_prd|sP62_prd|~op1(e13,e13)=e13),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f822])).
% 10.92/1.95 fof(f829,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP63_prd])],[])).
% 10.92/1.95 fof(f830,plain,(
% 10.92/1.95 sP61_prd<=>(sP63_prd|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f811,f829])).
% 10.92/1.95 fof(f831,plain,(
% 10.92/1.95 (~sP61_prd|(sP63_prd|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23)))&(sP61_prd|(~sP63_prd&(((~op2(e22,e23)=e22|op2(e22,e22)=e23)|~op2(e23,e23)=e23)|op2(e23,e23)=e23)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f830])).
% 10.92/1.95 fof(f834,plain,(
% 10.92/1.95 ~sP61_prd|sP63_prd|op2(e23,e23)=e23),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f831])).
% 10.92/1.95 fof(f835,plain,(
% 10.92/1.95 ~sP61_prd|sP63_prd|~op2(e23,e23)=e23),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f831])).
% 10.92/1.95 fof(f838,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP64_prd])],[])).
% 10.92/1.95 fof(f839,plain,(
% 10.92/1.95 sP62_prd<=>(sP64_prd|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f820,f838])).
% 10.92/1.95 fof(f840,plain,(
% 10.92/1.95 (~sP62_prd|(sP64_prd|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12)))&(sP62_prd|(~sP64_prd&(((~op1(e12,e13)=e12|op1(e12,e12)=e13)|~op1(e12,e12)=e13)|op1(e12,e13)=e12)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f839])).
% 10.92/1.95 fof(f842,plain,(
% 10.92/1.95 ~sP62_prd|sP64_prd|~op1(e12,e12)=e13),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f840])).
% 10.92/1.95 fof(f843,plain,(
% 10.92/1.95 ~sP62_prd|sP64_prd|op1(e12,e12)=e13),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f840])).
% 10.92/1.95 fof(f847,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP65_prd])],[])).
% 10.92/1.95 fof(f848,plain,(
% 10.92/1.95 sP63_prd<=>(sP65_prd|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f829,f847])).
% 10.92/1.95 fof(f849,plain,(
% 10.92/1.95 (~sP63_prd|(sP65_prd|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22)))&(sP63_prd|(~sP65_prd&(((~op2(e22,e23)=e22|op2(e22,e22)=e23)|~op2(e22,e22)=e23)|op2(e22,e23)=e22)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f848])).
% 10.92/1.95 fof(f851,plain,(
% 10.92/1.95 ~sP63_prd|sP65_prd|~op2(e22,e22)=e23),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f849])).
% 10.92/1.95 fof(f852,plain,(
% 10.92/1.95 ~sP63_prd|sP65_prd|op2(e22,e22)=e23),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f849])).
% 10.92/1.95 fof(f856,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP66_prd])],[])).
% 10.92/1.95 fof(f857,plain,(
% 10.92/1.95 sP64_prd<=>(sP66_prd|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f838,f856])).
% 10.92/1.95 fof(f858,plain,(
% 10.92/1.95 (~sP64_prd|(sP66_prd|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11)))&(sP64_prd|(~sP66_prd&(((~op1(e12,e13)=e12|op1(e12,e12)=e13)|~op1(e11,e11)=e13)|op1(e11,e13)=e11)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f857])).
% 10.92/1.95 fof(f861,plain,(
% 10.92/1.95 ~sP64_prd|sP66_prd|op1(e11,e11)=e13),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f858])).
% 10.92/1.95 fof(f865,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP67_prd])],[])).
% 10.92/1.95 fof(f866,plain,(
% 10.92/1.95 sP65_prd<=>(sP67_prd|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f847,f865])).
% 10.92/1.95 fof(f867,plain,(
% 10.92/1.95 (~sP65_prd|(sP67_prd|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21)))&(sP65_prd|(~sP67_prd&(((~op2(e22,e23)=e22|op2(e22,e22)=e23)|~op2(e21,e21)=e23)|op2(e21,e23)=e21)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f866])).
% 10.92/1.95 fof(f870,plain,(
% 10.92/1.95 ~sP65_prd|sP67_prd|op2(e21,e21)=e23),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f867])).
% 10.92/1.95 fof(f874,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((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,e13)=e12)&~op1(e13,e12)=e13))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP68_prd])],[])).
% 10.92/1.95 fof(f875,plain,(
% 10.92/1.95 sP66_prd<=>(sP68_prd|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f856,f874])).
% 10.92/1.95 fof(f876,plain,(
% 10.92/1.95 (~sP66_prd|(sP68_prd|(((op1(e12,e13)=e12&~op1(e12,e12)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10)))&(sP66_prd|(~sP68_prd&(((~op1(e12,e13)=e12|op1(e12,e12)=e13)|~op1(e10,e10)=e13)|op1(e10,e13)=e10)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f875])).
% 10.92/1.95 fof(f879,plain,(
% 10.92/1.95 ~sP66_prd|sP68_prd|op1(e10,e10)=e13),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f876])).
% 10.92/1.95 fof(f883,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((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,e23)=e22)&~op2(e23,e22)=e23))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP69_prd])],[])).
% 10.92/1.95 fof(f884,plain,(
% 10.92/1.95 sP67_prd<=>(sP69_prd|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f865,f883])).
% 10.92/1.95 fof(f885,plain,(
% 10.92/1.95 (~sP67_prd|(sP69_prd|(((op2(e22,e23)=e22&~op2(e22,e22)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20)))&(sP67_prd|(~sP69_prd&(((~op2(e22,e23)=e22|op2(e22,e22)=e23)|~op2(e20,e20)=e23)|op2(e20,e23)=e20)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f884])).
% 10.92/1.95 fof(f888,plain,(
% 10.92/1.95 ~sP67_prd|sP69_prd|op2(e20,e20)=e23),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f885])).
% 10.92/1.95 fof(f892,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP70_prd])],[])).
% 10.92/1.95 fof(f893,plain,(
% 10.92/1.95 sP68_prd<=>(sP70_prd|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f874,f892])).
% 10.92/1.95 fof(f894,plain,(
% 10.92/1.95 (~sP68_prd|(sP70_prd|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13)))&(sP68_prd|(~sP70_prd&(((~op1(e12,e12)=e12|op1(e12,e12)=e12)|~op1(e13,e13)=e12)|op1(e13,e12)=e13)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f893])).
% 10.92/1.95 fof(f895,plain,(
% 10.92/1.95 ~sP68_prd|sP70_prd|op1(e12,e12)=e12),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f894])).
% 10.92/1.95 fof(f896,plain,(
% 10.92/1.95 ~sP68_prd|sP70_prd|~op1(e12,e12)=e12),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f894])).
% 10.92/1.95 fof(f901,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP71_prd])],[])).
% 10.92/1.95 fof(f902,plain,(
% 10.92/1.95 sP69_prd<=>(sP71_prd|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f883,f901])).
% 10.92/1.95 fof(f903,plain,(
% 10.92/1.95 (~sP69_prd|(sP71_prd|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23)))&(sP69_prd|(~sP71_prd&(((~op2(e22,e22)=e22|op2(e22,e22)=e22)|~op2(e23,e23)=e22)|op2(e23,e22)=e23)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f902])).
% 10.92/1.95 fof(f904,plain,(
% 10.92/1.95 ~sP69_prd|sP71_prd|op2(e22,e22)=e22),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f903])).
% 10.92/1.95 fof(f905,plain,(
% 10.92/1.95 ~sP69_prd|sP71_prd|~op2(e22,e22)=e22),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f903])).
% 10.92/1.95 fof(f910,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP72_prd])],[])).
% 10.92/1.95 fof(f911,plain,(
% 10.92/1.95 sP70_prd<=>(sP72_prd|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f892,f910])).
% 10.92/1.95 fof(f912,plain,(
% 10.92/1.95 (~sP70_prd|(sP72_prd|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12)))&(sP70_prd|(~sP72_prd&(((~op1(e12,e12)=e12|op1(e12,e12)=e12)|~op1(e12,e12)=e12)|op1(e12,e12)=e12)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f911])).
% 10.92/1.95 fof(f913,plain,(
% 10.92/1.95 ~sP70_prd|sP72_prd|op1(e12,e12)=e12),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f912])).
% 10.92/1.95 fof(f914,plain,(
% 10.92/1.95 ~sP70_prd|sP72_prd|~op1(e12,e12)=e12),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f912])).
% 10.92/1.95 fof(f919,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP73_prd])],[])).
% 10.92/1.95 fof(f920,plain,(
% 10.92/1.95 sP71_prd<=>(sP73_prd|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f901,f919])).
% 10.92/1.95 fof(f921,plain,(
% 10.92/1.95 (~sP71_prd|(sP73_prd|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22)))&(sP71_prd|(~sP73_prd&(((~op2(e22,e22)=e22|op2(e22,e22)=e22)|~op2(e22,e22)=e22)|op2(e22,e22)=e22)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f920])).
% 10.92/1.95 fof(f922,plain,(
% 10.92/1.95 ~sP71_prd|sP73_prd|op2(e22,e22)=e22),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f921])).
% 10.92/1.95 fof(f923,plain,(
% 10.92/1.95 ~sP71_prd|sP73_prd|~op2(e22,e22)=e22),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f921])).
% 10.92/1.95 fof(f928,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP74_prd])],[])).
% 10.92/1.95 fof(f929,plain,(
% 10.92/1.95 sP72_prd<=>(sP74_prd|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f910,f928])).
% 10.92/1.95 fof(f930,plain,(
% 10.92/1.95 (~sP72_prd|(sP74_prd|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11)))&(sP72_prd|(~sP74_prd&(((~op1(e12,e12)=e12|op1(e12,e12)=e12)|~op1(e11,e11)=e12)|op1(e11,e12)=e11)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f929])).
% 10.92/1.95 fof(f931,plain,(
% 10.92/1.95 ~sP72_prd|sP74_prd|op1(e12,e12)=e12),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f930])).
% 10.92/1.95 fof(f932,plain,(
% 10.92/1.95 ~sP72_prd|sP74_prd|~op1(e12,e12)=e12),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f930])).
% 10.92/1.95 fof(f937,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP75_prd])],[])).
% 10.92/1.95 fof(f938,plain,(
% 10.92/1.95 sP73_prd<=>(sP75_prd|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f919,f937])).
% 10.92/1.95 fof(f939,plain,(
% 10.92/1.95 (~sP73_prd|(sP75_prd|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21)))&(sP73_prd|(~sP75_prd&(((~op2(e22,e22)=e22|op2(e22,e22)=e22)|~op2(e21,e21)=e22)|op2(e21,e22)=e21)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f938])).
% 10.92/1.95 fof(f940,plain,(
% 10.92/1.95 ~sP73_prd|sP75_prd|op2(e22,e22)=e22),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f939])).
% 10.92/1.95 fof(f941,plain,(
% 10.92/1.95 ~sP73_prd|sP75_prd|~op2(e22,e22)=e22),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f939])).
% 10.92/1.95 fof(f946,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP76_prd])],[])).
% 10.92/1.95 fof(f947,plain,(
% 10.92/1.95 sP74_prd<=>(sP76_prd|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f928,f946])).
% 10.92/1.95 fof(f948,plain,(
% 10.92/1.95 (~sP74_prd|(sP76_prd|(((op1(e12,e12)=e12&~op1(e12,e12)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10)))&(sP74_prd|(~sP76_prd&(((~op1(e12,e12)=e12|op1(e12,e12)=e12)|~op1(e10,e10)=e12)|op1(e10,e12)=e10)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f947])).
% 10.92/1.95 fof(f949,plain,(
% 10.92/1.95 ~sP74_prd|sP76_prd|op1(e12,e12)=e12),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f948])).
% 10.92/1.95 fof(f950,plain,(
% 10.92/1.95 ~sP74_prd|sP76_prd|~op1(e12,e12)=e12),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f948])).
% 10.92/1.95 fof(f955,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP77_prd])],[])).
% 10.92/1.95 fof(f956,plain,(
% 10.92/1.95 sP75_prd<=>(sP77_prd|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f937,f955])).
% 10.92/1.95 fof(f957,plain,(
% 10.92/1.95 (~sP75_prd|(sP77_prd|(((op2(e22,e22)=e22&~op2(e22,e22)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20)))&(sP75_prd|(~sP77_prd&(((~op2(e22,e22)=e22|op2(e22,e22)=e22)|~op2(e20,e20)=e22)|op2(e20,e22)=e20)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f956])).
% 10.92/1.95 fof(f958,plain,(
% 10.92/1.95 ~sP75_prd|sP77_prd|op2(e22,e22)=e22),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f957])).
% 10.92/1.95 fof(f959,plain,(
% 10.92/1.95 ~sP75_prd|sP77_prd|~op2(e22,e22)=e22),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f957])).
% 10.92/1.95 fof(f964,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP78_prd])],[])).
% 10.92/1.95 fof(f965,plain,(
% 10.92/1.95 sP76_prd<=>(sP78_prd|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f946,f964])).
% 10.92/1.95 fof(f966,plain,(
% 10.92/1.95 (~sP76_prd|(sP78_prd|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13)))&(sP76_prd|(~sP78_prd&(((~op1(e12,e11)=e12|op1(e12,e12)=e11)|~op1(e13,e13)=e11)|op1(e13,e11)=e13)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f965])).
% 10.92/1.95 fof(f967,plain,(
% 10.92/1.95 ~sP76_prd|sP78_prd|op1(e12,e11)=e12),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f966])).
% 10.92/1.95 fof(f973,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP79_prd])],[])).
% 10.92/1.95 fof(f974,plain,(
% 10.92/1.95 sP77_prd<=>(sP79_prd|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f955,f973])).
% 10.92/1.95 fof(f975,plain,(
% 10.92/1.95 (~sP77_prd|(sP79_prd|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23)))&(sP77_prd|(~sP79_prd&(((~op2(e22,e21)=e22|op2(e22,e22)=e21)|~op2(e23,e23)=e21)|op2(e23,e21)=e23)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f974])).
% 10.92/1.95 fof(f976,plain,(
% 10.92/1.95 ~sP77_prd|sP79_prd|op2(e22,e21)=e22),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f975])).
% 10.92/1.95 fof(f982,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP80_prd])],[])).
% 10.92/1.95 fof(f983,plain,(
% 10.92/1.95 sP78_prd<=>(sP80_prd|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f964,f982])).
% 10.92/1.95 fof(f984,plain,(
% 10.92/1.95 (~sP78_prd|(sP80_prd|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12)))&(sP78_prd|(~sP80_prd&(((~op1(e12,e11)=e12|op1(e12,e12)=e11)|~op1(e12,e12)=e11)|op1(e12,e11)=e12)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f983])).
% 10.92/1.95 fof(f985,plain,(
% 10.92/1.95 ~sP78_prd|sP80_prd|op1(e12,e11)=e12),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f984])).
% 10.92/1.95 fof(f991,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP81_prd])],[])).
% 10.92/1.95 fof(f992,plain,(
% 10.92/1.95 sP79_prd<=>(sP81_prd|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f973,f991])).
% 10.92/1.95 fof(f993,plain,(
% 10.92/1.95 (~sP79_prd|(sP81_prd|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22)))&(sP79_prd|(~sP81_prd&(((~op2(e22,e21)=e22|op2(e22,e22)=e21)|~op2(e22,e22)=e21)|op2(e22,e21)=e22)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f992])).
% 10.92/1.95 fof(f994,plain,(
% 10.92/1.95 ~sP79_prd|sP81_prd|op2(e22,e21)=e22),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f993])).
% 10.92/1.95 fof(f1000,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP82_prd])],[])).
% 10.92/1.95 fof(f1001,plain,(
% 10.92/1.95 sP80_prd<=>(sP82_prd|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f982,f1000])).
% 10.92/1.95 fof(f1002,plain,(
% 10.92/1.95 (~sP80_prd|(sP82_prd|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11)))&(sP80_prd|(~sP82_prd&(((~op1(e12,e11)=e12|op1(e12,e12)=e11)|~op1(e11,e11)=e11)|op1(e11,e11)=e11)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1001])).
% 10.92/1.95 fof(f1003,plain,(
% 10.92/1.95 ~sP80_prd|sP82_prd|op1(e12,e11)=e12),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1002])).
% 10.92/1.95 fof(f1009,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP83_prd])],[])).
% 10.92/1.95 fof(f1010,plain,(
% 10.92/1.95 sP81_prd<=>(sP83_prd|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f991,f1009])).
% 10.92/1.95 fof(f1011,plain,(
% 10.92/1.95 (~sP81_prd|(sP83_prd|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21)))&(sP81_prd|(~sP83_prd&(((~op2(e22,e21)=e22|op2(e22,e22)=e21)|~op2(e21,e21)=e21)|op2(e21,e21)=e21)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1010])).
% 10.92/1.95 fof(f1012,plain,(
% 10.92/1.95 ~sP81_prd|sP83_prd|op2(e22,e21)=e22),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1011])).
% 10.92/1.95 fof(f1018,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP84_prd])],[])).
% 10.92/1.95 fof(f1019,plain,(
% 10.92/1.95 sP82_prd<=>(sP84_prd|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1000,f1018])).
% 10.92/1.95 fof(f1020,plain,(
% 10.92/1.95 (~sP82_prd|(sP84_prd|(((op1(e12,e11)=e12&~op1(e12,e12)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10)))&(sP82_prd|(~sP84_prd&(((~op1(e12,e11)=e12|op1(e12,e12)=e11)|~op1(e10,e10)=e11)|op1(e10,e11)=e10)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1019])).
% 10.92/1.95 fof(f1021,plain,(
% 10.92/1.95 ~sP82_prd|sP84_prd|op1(e12,e11)=e12),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1020])).
% 10.92/1.95 fof(f1027,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP85_prd])],[])).
% 10.92/1.95 fof(f1028,plain,(
% 10.92/1.95 sP83_prd<=>(sP85_prd|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1009,f1027])).
% 10.92/1.95 fof(f1029,plain,(
% 10.92/1.95 (~sP83_prd|(sP85_prd|(((op2(e22,e21)=e22&~op2(e22,e22)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20)))&(sP83_prd|(~sP85_prd&(((~op2(e22,e21)=e22|op2(e22,e22)=e21)|~op2(e20,e20)=e21)|op2(e20,e21)=e20)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1028])).
% 10.92/1.95 fof(f1030,plain,(
% 10.92/1.95 ~sP83_prd|sP85_prd|op2(e22,e21)=e22),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1029])).
% 10.92/1.95 fof(f1036,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP86_prd])],[])).
% 10.92/1.95 fof(f1037,plain,(
% 10.92/1.95 sP84_prd<=>(sP86_prd|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1018,f1036])).
% 10.92/1.95 fof(f1038,plain,(
% 10.92/1.95 (~sP84_prd|(sP86_prd|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13)))&(sP84_prd|(~sP86_prd&(((~op1(e12,e10)=e12|op1(e12,e12)=e10)|~op1(e13,e13)=e10)|op1(e13,e10)=e13)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1037])).
% 10.92/1.95 fof(f1042,plain,(
% 10.92/1.95 ~sP84_prd|sP86_prd|~op1(e13,e10)=e13),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1038])).
% 10.92/1.95 fof(f1045,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP87_prd])],[])).
% 10.92/1.95 fof(f1046,plain,(
% 10.92/1.95 sP85_prd<=>(sP87_prd|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1027,f1045])).
% 10.92/1.95 fof(f1047,plain,(
% 10.92/1.95 (~sP85_prd|(sP87_prd|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23)))&(sP85_prd|(~sP87_prd&(((~op2(e22,e20)=e22|op2(e22,e22)=e20)|~op2(e23,e23)=e20)|op2(e23,e20)=e23)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1046])).
% 10.92/1.95 fof(f1051,plain,(
% 10.92/1.95 ~sP85_prd|sP87_prd|~op2(e23,e20)=e23),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1047])).
% 10.92/1.95 fof(f1054,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP88_prd])],[])).
% 10.92/1.95 fof(f1055,plain,(
% 10.92/1.95 sP86_prd<=>(sP88_prd|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1036,f1054])).
% 10.92/1.95 fof(f1056,plain,(
% 10.92/1.95 (~sP86_prd|(sP88_prd|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12)))&(sP86_prd|(~sP88_prd&(((~op1(e12,e10)=e12|op1(e12,e12)=e10)|~op1(e12,e12)=e10)|op1(e12,e10)=e12)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1055])).
% 10.92/1.95 fof(f1058,plain,(
% 10.92/1.95 ~sP86_prd|sP88_prd|~op1(e12,e12)=e10),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1056])).
% 10.92/1.95 fof(f1059,plain,(
% 10.92/1.95 ~sP86_prd|sP88_prd|op1(e12,e12)=e10),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1056])).
% 10.92/1.95 fof(f1063,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP89_prd])],[])).
% 10.92/1.95 fof(f1064,plain,(
% 10.92/1.95 sP87_prd<=>(sP89_prd|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1045,f1063])).
% 10.92/1.95 fof(f1065,plain,(
% 10.92/1.95 (~sP87_prd|(sP89_prd|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22)))&(sP87_prd|(~sP89_prd&(((~op2(e22,e20)=e22|op2(e22,e22)=e20)|~op2(e22,e22)=e20)|op2(e22,e20)=e22)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1064])).
% 10.92/1.95 fof(f1067,plain,(
% 10.92/1.95 ~sP87_prd|sP89_prd|~op2(e22,e22)=e20),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1065])).
% 10.92/1.95 fof(f1068,plain,(
% 10.92/1.95 ~sP87_prd|sP89_prd|op2(e22,e22)=e20),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1065])).
% 10.92/1.95 fof(f1072,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP90_prd])],[])).
% 10.92/1.95 fof(f1073,plain,(
% 10.92/1.95 sP88_prd<=>(sP90_prd|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1054,f1072])).
% 10.92/1.95 fof(f1074,plain,(
% 10.92/1.95 (~sP88_prd|(sP90_prd|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11)))&(sP88_prd|(~sP90_prd&(((~op1(e12,e10)=e12|op1(e12,e12)=e10)|~op1(e11,e11)=e10)|op1(e11,e10)=e11)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1073])).
% 10.92/1.95 fof(f1077,plain,(
% 10.92/1.95 ~sP88_prd|sP90_prd|op1(e11,e11)=e10),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1074])).
% 10.92/1.95 fof(f1081,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP91_prd])],[])).
% 10.92/1.95 fof(f1082,plain,(
% 10.92/1.95 sP89_prd<=>(sP91_prd|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1063,f1081])).
% 10.92/1.95 fof(f1083,plain,(
% 10.92/1.95 (~sP89_prd|(sP91_prd|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21)))&(sP89_prd|(~sP91_prd&(((~op2(e22,e20)=e22|op2(e22,e22)=e20)|~op2(e21,e21)=e20)|op2(e21,e20)=e21)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1082])).
% 10.92/1.95 fof(f1086,plain,(
% 10.92/1.95 ~sP89_prd|sP91_prd|op2(e21,e21)=e20),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1083])).
% 10.92/1.95 fof(f1090,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP92_prd])],[])).
% 10.92/1.95 fof(f1091,plain,(
% 10.92/1.95 sP90_prd<=>(sP92_prd|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1072,f1090])).
% 10.92/1.95 fof(f1092,plain,(
% 10.92/1.95 (~sP90_prd|(sP92_prd|(((op1(e12,e10)=e12&~op1(e12,e12)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10)))&(sP90_prd|(~sP92_prd&(((~op1(e12,e10)=e12|op1(e12,e12)=e10)|~op1(e10,e10)=e10)|op1(e10,e10)=e10)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1091])).
% 10.92/1.95 fof(f1095,plain,(
% 10.92/1.95 ~sP90_prd|sP92_prd|op1(e10,e10)=e10),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1092])).
% 10.92/1.95 fof(f1096,plain,(
% 10.92/1.95 ~sP90_prd|sP92_prd|~op1(e10,e10)=e10),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1092])).
% 10.92/1.95 fof(f1099,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP93_prd])],[])).
% 10.92/1.95 fof(f1100,plain,(
% 10.92/1.95 sP91_prd<=>(sP93_prd|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1081,f1099])).
% 10.92/1.95 fof(f1101,plain,(
% 10.92/1.95 (~sP91_prd|(sP93_prd|(((op2(e22,e20)=e22&~op2(e22,e22)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20)))&(sP91_prd|(~sP93_prd&(((~op2(e22,e20)=e22|op2(e22,e22)=e20)|~op2(e20,e20)=e20)|op2(e20,e20)=e20)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1100])).
% 10.92/1.95 fof(f1104,plain,(
% 10.92/1.95 ~sP91_prd|sP93_prd|op2(e20,e20)=e20),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1101])).
% 10.92/1.95 fof(f1105,plain,(
% 10.92/1.95 ~sP91_prd|sP93_prd|~op2(e20,e20)=e20),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1101])).
% 10.92/1.95 fof(f1108,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP94_prd])],[])).
% 10.92/1.95 fof(f1109,plain,(
% 10.92/1.95 sP92_prd<=>(sP94_prd|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1090,f1108])).
% 10.92/1.95 fof(f1110,plain,(
% 10.92/1.95 (~sP92_prd|(sP94_prd|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13)))&(sP92_prd|(~sP94_prd&(((~op1(e11,e13)=e11|op1(e11,e11)=e13)|~op1(e13,e13)=e13)|op1(e13,e13)=e13)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1109])).
% 10.92/1.95 fof(f1113,plain,(
% 10.92/1.95 ~sP92_prd|sP94_prd|op1(e13,e13)=e13),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1110])).
% 10.92/1.95 fof(f1114,plain,(
% 10.92/1.95 ~sP92_prd|sP94_prd|~op1(e13,e13)=e13),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1110])).
% 10.92/1.95 fof(f1117,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP95_prd])],[])).
% 10.92/1.95 fof(f1118,plain,(
% 10.92/1.95 sP93_prd<=>(sP95_prd|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1099,f1117])).
% 10.92/1.95 fof(f1119,plain,(
% 10.92/1.95 (~sP93_prd|(sP95_prd|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23)))&(sP93_prd|(~sP95_prd&(((~op2(e21,e23)=e21|op2(e21,e21)=e23)|~op2(e23,e23)=e23)|op2(e23,e23)=e23)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1118])).
% 10.92/1.95 fof(f1122,plain,(
% 10.92/1.95 ~sP93_prd|sP95_prd|op2(e23,e23)=e23),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1119])).
% 10.92/1.95 fof(f1123,plain,(
% 10.92/1.95 ~sP93_prd|sP95_prd|~op2(e23,e23)=e23),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1119])).
% 10.92/1.95 fof(f1126,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP96_prd])],[])).
% 10.92/1.95 fof(f1127,plain,(
% 10.92/1.95 sP94_prd<=>(sP96_prd|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1108,f1126])).
% 10.92/1.95 fof(f1128,plain,(
% 10.92/1.95 (~sP94_prd|(sP96_prd|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12)))&(sP94_prd|(~sP96_prd&(((~op1(e11,e13)=e11|op1(e11,e11)=e13)|~op1(e12,e12)=e13)|op1(e12,e13)=e12)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1127])).
% 10.92/1.95 fof(f1131,plain,(
% 10.92/1.95 ~sP94_prd|sP96_prd|op1(e12,e12)=e13),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1128])).
% 10.92/1.95 fof(f1135,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP97_prd])],[])).
% 10.92/1.95 fof(f1136,plain,(
% 10.92/1.95 sP95_prd<=>(sP97_prd|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1117,f1135])).
% 10.92/1.95 fof(f1137,plain,(
% 10.92/1.95 (~sP95_prd|(sP97_prd|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22)))&(sP95_prd|(~sP97_prd&(((~op2(e21,e23)=e21|op2(e21,e21)=e23)|~op2(e22,e22)=e23)|op2(e22,e23)=e22)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1136])).
% 10.92/1.95 fof(f1140,plain,(
% 10.92/1.95 ~sP95_prd|sP97_prd|op2(e22,e22)=e23),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1137])).
% 10.92/1.95 fof(f1144,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP98_prd])],[])).
% 10.92/1.95 fof(f1145,plain,(
% 10.92/1.95 sP96_prd<=>(sP98_prd|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1126,f1144])).
% 10.92/1.95 fof(f1146,plain,(
% 10.92/1.95 (~sP96_prd|(sP98_prd|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11)))&(sP96_prd|(~sP98_prd&(((~op1(e11,e13)=e11|op1(e11,e11)=e13)|~op1(e11,e11)=e13)|op1(e11,e13)=e11)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1145])).
% 10.92/1.95 fof(f1149,plain,(
% 10.92/1.95 ~sP96_prd|sP98_prd|op1(e11,e11)=e13),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1146])).
% 10.92/1.95 fof(f1153,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP99_prd])],[])).
% 10.92/1.95 fof(f1154,plain,(
% 10.92/1.95 sP97_prd<=>(sP99_prd|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1135,f1153])).
% 10.92/1.95 fof(f1155,plain,(
% 10.92/1.95 (~sP97_prd|(sP99_prd|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21)))&(sP97_prd|(~sP99_prd&(((~op2(e21,e23)=e21|op2(e21,e21)=e23)|~op2(e21,e21)=e23)|op2(e21,e23)=e21)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1154])).
% 10.92/1.95 fof(f1158,plain,(
% 10.92/1.95 ~sP97_prd|sP99_prd|op2(e21,e21)=e23),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1155])).
% 10.92/1.95 fof(f1162,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP100_prd])],[])).
% 10.92/1.95 fof(f1163,plain,(
% 10.92/1.95 sP98_prd<=>(sP100_prd|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1144,f1162])).
% 10.92/1.95 fof(f1164,plain,(
% 10.92/1.95 (~sP98_prd|(sP100_prd|(((op1(e11,e13)=e11&~op1(e11,e11)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10)))&(sP98_prd|(~sP100_prd&(((~op1(e11,e13)=e11|op1(e11,e11)=e13)|~op1(e10,e10)=e13)|op1(e10,e13)=e10)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1163])).
% 10.92/1.95 fof(f1167,plain,(
% 10.92/1.95 ~sP98_prd|sP100_prd|op1(e10,e10)=e13),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1164])).
% 10.92/1.95 fof(f1171,definition,(
% 10.92/1.95 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))),
% 10.92/1.95 introduced(definition,[new_symbols(definition,[sP101_prd])],[])).
% 10.92/1.95 fof(f1172,plain,(
% 10.92/1.95 sP99_prd<=>(sP101_prd|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))),
% 10.92/1.95 inference(formula_renaming,[status(thm)],[f1153,f1171])).
% 10.92/1.95 fof(f1173,plain,(
% 10.92/1.95 (~sP99_prd|(sP101_prd|(((op2(e21,e23)=e21&~op2(e21,e21)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20)))&(sP99_prd|(~sP101_prd&(((~op2(e21,e23)=e21|op2(e21,e21)=e23)|~op2(e20,e20)=e23)|op2(e20,e23)=e20)))),
% 10.92/1.95 inference(NNF_transformation,[status(thm)],[f1172])).
% 10.92/1.95 fof(f1176,plain,(
% 10.92/1.95 ~sP99_prd|sP101_prd|op2(e20,e20)=e23),
% 10.92/1.95 inference(cnf_transformation,[status(thm)],[f1173])).
% 10.92/1.95 fof(f1180,definition,(
% 10.92/1.95 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP102_prd])],[])).
% 10.92/1.96 fof(f1181,plain,(
% 10.92/1.96 sP100_prd<=>(sP102_prd|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1162,f1180])).
% 10.92/1.96 fof(f1182,plain,(
% 10.92/1.96 (~sP100_prd|(sP102_prd|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13)))&(sP100_prd|(~sP102_prd&(((~op1(e11,e12)=e11|op1(e11,e11)=e12)|~op1(e13,e13)=e12)|op1(e13,e12)=e13)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1181])).
% 10.92/1.96 fof(f1184,plain,(
% 10.92/1.96 ~sP100_prd|sP102_prd|~op1(e11,e11)=e12),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1182])).
% 10.92/1.96 fof(f1189,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP103_prd])],[])).
% 10.92/1.96 fof(f1190,plain,(
% 10.92/1.96 sP101_prd<=>(sP103_prd|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1171,f1189])).
% 10.92/1.96 fof(f1191,plain,(
% 10.92/1.96 (~sP101_prd|(sP103_prd|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23)))&(sP101_prd|(~sP103_prd&(((~op2(e21,e22)=e21|op2(e21,e21)=e22)|~op2(e23,e23)=e22)|op2(e23,e22)=e23)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1190])).
% 10.92/1.96 fof(f1193,plain,(
% 10.92/1.96 ~sP101_prd|sP103_prd|~op2(e21,e21)=e22),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1191])).
% 10.92/1.96 fof(f1198,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP104_prd])],[])).
% 10.92/1.96 fof(f1199,plain,(
% 10.92/1.96 sP102_prd<=>(sP104_prd|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1180,f1198])).
% 10.92/1.96 fof(f1200,plain,(
% 10.92/1.96 (~sP102_prd|(sP104_prd|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12)))&(sP102_prd|(~sP104_prd&(((~op1(e11,e12)=e11|op1(e11,e11)=e12)|~op1(e12,e12)=e12)|op1(e12,e12)=e12)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1199])).
% 10.92/1.96 fof(f1202,plain,(
% 10.92/1.96 ~sP102_prd|sP104_prd|~op1(e11,e11)=e12),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1200])).
% 10.92/1.96 fof(f1207,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP105_prd])],[])).
% 10.92/1.96 fof(f1208,plain,(
% 10.92/1.96 sP103_prd<=>(sP105_prd|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1189,f1207])).
% 10.92/1.96 fof(f1209,plain,(
% 10.92/1.96 (~sP103_prd|(sP105_prd|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22)))&(sP103_prd|(~sP105_prd&(((~op2(e21,e22)=e21|op2(e21,e21)=e22)|~op2(e22,e22)=e22)|op2(e22,e22)=e22)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1208])).
% 10.92/1.96 fof(f1211,plain,(
% 10.92/1.96 ~sP103_prd|sP105_prd|~op2(e21,e21)=e22),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1209])).
% 10.92/1.96 fof(f1216,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP106_prd])],[])).
% 10.92/1.96 fof(f1217,plain,(
% 10.92/1.96 sP104_prd<=>(sP106_prd|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1198,f1216])).
% 10.92/1.96 fof(f1218,plain,(
% 10.92/1.96 (~sP104_prd|(sP106_prd|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11)))&(sP104_prd|(~sP106_prd&(((~op1(e11,e12)=e11|op1(e11,e11)=e12)|~op1(e11,e11)=e12)|op1(e11,e12)=e11)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1217])).
% 10.92/1.96 fof(f1220,plain,(
% 10.92/1.96 ~sP104_prd|sP106_prd|~op1(e11,e11)=e12),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1218])).
% 10.92/1.96 fof(f1225,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP107_prd])],[])).
% 10.92/1.96 fof(f1226,plain,(
% 10.92/1.96 sP105_prd<=>(sP107_prd|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1207,f1225])).
% 10.92/1.96 fof(f1227,plain,(
% 10.92/1.96 (~sP105_prd|(sP107_prd|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21)))&(sP105_prd|(~sP107_prd&(((~op2(e21,e22)=e21|op2(e21,e21)=e22)|~op2(e21,e21)=e22)|op2(e21,e22)=e21)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1226])).
% 10.92/1.96 fof(f1229,plain,(
% 10.92/1.96 ~sP105_prd|sP107_prd|~op2(e21,e21)=e22),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1227])).
% 10.92/1.96 fof(f1234,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP108_prd])],[])).
% 10.92/1.96 fof(f1235,plain,(
% 10.92/1.96 sP106_prd<=>(sP108_prd|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1216,f1234])).
% 10.92/1.96 fof(f1236,plain,(
% 10.92/1.96 (~sP106_prd|(sP108_prd|(((op1(e11,e12)=e11&~op1(e11,e11)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10)))&(sP106_prd|(~sP108_prd&(((~op1(e11,e12)=e11|op1(e11,e11)=e12)|~op1(e10,e10)=e12)|op1(e10,e12)=e10)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1235])).
% 10.92/1.96 fof(f1238,plain,(
% 10.92/1.96 ~sP106_prd|sP108_prd|~op1(e11,e11)=e12),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1236])).
% 10.92/1.96 fof(f1243,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP109_prd])],[])).
% 10.92/1.96 fof(f1244,plain,(
% 10.92/1.96 sP107_prd<=>(sP109_prd|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1225,f1243])).
% 10.92/1.96 fof(f1245,plain,(
% 10.92/1.96 (~sP107_prd|(sP109_prd|(((op2(e21,e22)=e21&~op2(e21,e21)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20)))&(sP107_prd|(~sP109_prd&(((~op2(e21,e22)=e21|op2(e21,e21)=e22)|~op2(e20,e20)=e22)|op2(e20,e22)=e20)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1244])).
% 10.92/1.96 fof(f1247,plain,(
% 10.92/1.96 ~sP107_prd|sP109_prd|~op2(e21,e21)=e22),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1245])).
% 10.92/1.96 fof(f1252,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((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,e12)=e11)&~op1(e12,e11)=e12))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP110_prd])],[])).
% 10.92/1.96 fof(f1253,plain,(
% 10.92/1.96 sP108_prd<=>(sP110_prd|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1234,f1252])).
% 10.92/1.96 fof(f1254,plain,(
% 10.92/1.96 (~sP108_prd|(sP110_prd|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13)))&(sP108_prd|(~sP110_prd&(((~op1(e11,e11)=e11|op1(e11,e11)=e11)|~op1(e13,e13)=e11)|op1(e13,e11)=e13)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1253])).
% 10.92/1.96 fof(f1255,plain,(
% 10.92/1.96 ~sP108_prd|sP110_prd|op1(e11,e11)=e11),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1254])).
% 10.92/1.96 fof(f1261,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((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,e22)=e21)&~op2(e22,e21)=e22))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP111_prd])],[])).
% 10.92/1.96 fof(f1262,plain,(
% 10.92/1.96 sP109_prd<=>(sP111_prd|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1243,f1261])).
% 10.92/1.96 fof(f1263,plain,(
% 10.92/1.96 (~sP109_prd|(sP111_prd|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23)))&(sP109_prd|(~sP111_prd&(((~op2(e21,e21)=e21|op2(e21,e21)=e21)|~op2(e23,e23)=e21)|op2(e23,e21)=e23)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1262])).
% 10.92/1.96 fof(f1264,plain,(
% 10.92/1.96 ~sP109_prd|sP111_prd|op2(e21,e21)=e21),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1263])).
% 10.92/1.96 fof(f1270,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP112_prd])],[])).
% 10.92/1.96 fof(f1271,plain,(
% 10.92/1.96 sP110_prd<=>(sP112_prd|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1252,f1270])).
% 10.92/1.96 fof(f1272,plain,(
% 10.92/1.96 (~sP110_prd|(sP112_prd|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12)))&(sP110_prd|(~sP112_prd&(((~op1(e11,e11)=e11|op1(e11,e11)=e11)|~op1(e12,e12)=e11)|op1(e12,e11)=e12)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1271])).
% 10.92/1.96 fof(f1273,plain,(
% 10.92/1.96 ~sP110_prd|sP112_prd|op1(e11,e11)=e11),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1272])).
% 10.92/1.96 fof(f1279,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP113_prd])],[])).
% 10.92/1.96 fof(f1280,plain,(
% 10.92/1.96 sP111_prd<=>(sP113_prd|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1261,f1279])).
% 10.92/1.96 fof(f1281,plain,(
% 10.92/1.96 (~sP111_prd|(sP113_prd|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22)))&(sP111_prd|(~sP113_prd&(((~op2(e21,e21)=e21|op2(e21,e21)=e21)|~op2(e22,e22)=e21)|op2(e22,e21)=e22)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1280])).
% 10.92/1.96 fof(f1282,plain,(
% 10.92/1.96 ~sP111_prd|sP113_prd|op2(e21,e21)=e21),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1281])).
% 10.92/1.96 fof(f1288,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP114_prd])],[])).
% 10.92/1.96 fof(f1289,plain,(
% 10.92/1.96 sP112_prd<=>(sP114_prd|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1270,f1288])).
% 10.92/1.96 fof(f1290,plain,(
% 10.92/1.96 (~sP112_prd|(sP114_prd|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11)))&(sP112_prd|(~sP114_prd&(((~op1(e11,e11)=e11|op1(e11,e11)=e11)|~op1(e11,e11)=e11)|op1(e11,e11)=e11)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1289])).
% 10.92/1.96 fof(f1291,plain,(
% 10.92/1.96 ~sP112_prd|sP114_prd|op1(e11,e11)=e11),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1290])).
% 10.92/1.96 fof(f1297,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP115_prd])],[])).
% 10.92/1.96 fof(f1298,plain,(
% 10.92/1.96 sP113_prd<=>(sP115_prd|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1279,f1297])).
% 10.92/1.96 fof(f1299,plain,(
% 10.92/1.96 (~sP113_prd|(sP115_prd|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21)))&(sP113_prd|(~sP115_prd&(((~op2(e21,e21)=e21|op2(e21,e21)=e21)|~op2(e21,e21)=e21)|op2(e21,e21)=e21)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1298])).
% 10.92/1.96 fof(f1300,plain,(
% 10.92/1.96 ~sP113_prd|sP115_prd|op2(e21,e21)=e21),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1299])).
% 10.92/1.96 fof(f1306,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP116_prd])],[])).
% 10.92/1.96 fof(f1307,plain,(
% 10.92/1.96 sP114_prd<=>(sP116_prd|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1288,f1306])).
% 10.92/1.96 fof(f1308,plain,(
% 10.92/1.96 (~sP114_prd|(sP116_prd|(((op1(e11,e11)=e11&~op1(e11,e11)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10)))&(sP114_prd|(~sP116_prd&(((~op1(e11,e11)=e11|op1(e11,e11)=e11)|~op1(e10,e10)=e11)|op1(e10,e11)=e10)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1307])).
% 10.92/1.96 fof(f1309,plain,(
% 10.92/1.96 ~sP114_prd|sP116_prd|op1(e11,e11)=e11),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1308])).
% 10.92/1.96 fof(f1315,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP117_prd])],[])).
% 10.92/1.96 fof(f1316,plain,(
% 10.92/1.96 sP115_prd<=>(sP117_prd|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1297,f1315])).
% 10.92/1.96 fof(f1317,plain,(
% 10.92/1.96 (~sP115_prd|(sP117_prd|(((op2(e21,e21)=e21&~op2(e21,e21)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20)))&(sP115_prd|(~sP117_prd&(((~op2(e21,e21)=e21|op2(e21,e21)=e21)|~op2(e20,e20)=e21)|op2(e20,e21)=e20)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1316])).
% 10.92/1.96 fof(f1318,plain,(
% 10.92/1.96 ~sP115_prd|sP117_prd|op2(e21,e21)=e21),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1317])).
% 10.92/1.96 fof(f1324,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP118_prd])],[])).
% 10.92/1.96 fof(f1325,plain,(
% 10.92/1.96 sP116_prd<=>(sP118_prd|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1306,f1324])).
% 10.92/1.96 fof(f1326,plain,(
% 10.92/1.96 (~sP116_prd|(sP118_prd|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13)))&(sP116_prd|(~sP118_prd&(((~op1(e11,e10)=e11|op1(e11,e11)=e10)|~op1(e13,e13)=e10)|op1(e13,e10)=e13)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1325])).
% 10.92/1.96 fof(f1327,plain,(
% 10.92/1.96 ~sP116_prd|sP118_prd|op1(e11,e10)=e11),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1326])).
% 10.92/1.96 fof(f1333,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP119_prd])],[])).
% 10.92/1.96 fof(f1334,plain,(
% 10.92/1.96 sP117_prd<=>(sP119_prd|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1315,f1333])).
% 10.92/1.96 fof(f1335,plain,(
% 10.92/1.96 (~sP117_prd|(sP119_prd|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23)))&(sP117_prd|(~sP119_prd&(((~op2(e21,e20)=e21|op2(e21,e21)=e20)|~op2(e23,e23)=e20)|op2(e23,e20)=e23)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1334])).
% 10.92/1.96 fof(f1336,plain,(
% 10.92/1.96 ~sP117_prd|sP119_prd|op2(e21,e20)=e21),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1335])).
% 10.92/1.96 fof(f1342,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP120_prd])],[])).
% 10.92/1.96 fof(f1343,plain,(
% 10.92/1.96 sP118_prd<=>(sP120_prd|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1324,f1342])).
% 10.92/1.96 fof(f1344,plain,(
% 10.92/1.96 (~sP118_prd|(sP120_prd|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12)))&(sP118_prd|(~sP120_prd&(((~op1(e11,e10)=e11|op1(e11,e11)=e10)|~op1(e12,e12)=e10)|op1(e12,e10)=e12)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1343])).
% 10.92/1.96 fof(f1345,plain,(
% 10.92/1.96 ~sP118_prd|sP120_prd|op1(e11,e10)=e11),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1344])).
% 10.92/1.96 fof(f1351,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP121_prd])],[])).
% 10.92/1.96 fof(f1352,plain,(
% 10.92/1.96 sP119_prd<=>(sP121_prd|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1333,f1351])).
% 10.92/1.96 fof(f1353,plain,(
% 10.92/1.96 (~sP119_prd|(sP121_prd|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22)))&(sP119_prd|(~sP121_prd&(((~op2(e21,e20)=e21|op2(e21,e21)=e20)|~op2(e22,e22)=e20)|op2(e22,e20)=e22)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1352])).
% 10.92/1.96 fof(f1354,plain,(
% 10.92/1.96 ~sP119_prd|sP121_prd|op2(e21,e20)=e21),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1353])).
% 10.92/1.96 fof(f1360,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP122_prd])],[])).
% 10.92/1.96 fof(f1361,plain,(
% 10.92/1.96 sP120_prd<=>(sP122_prd|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1342,f1360])).
% 10.92/1.96 fof(f1362,plain,(
% 10.92/1.96 (~sP120_prd|(sP122_prd|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11)))&(sP120_prd|(~sP122_prd&(((~op1(e11,e10)=e11|op1(e11,e11)=e10)|~op1(e11,e11)=e10)|op1(e11,e10)=e11)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1361])).
% 10.92/1.96 fof(f1365,plain,(
% 10.92/1.96 ~sP120_prd|sP122_prd|op1(e11,e11)=e10),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1362])).
% 10.92/1.96 fof(f1369,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP123_prd])],[])).
% 10.92/1.96 fof(f1370,plain,(
% 10.92/1.96 sP121_prd<=>(sP123_prd|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1351,f1369])).
% 10.92/1.96 fof(f1371,plain,(
% 10.92/1.96 (~sP121_prd|(sP123_prd|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21)))&(sP121_prd|(~sP123_prd&(((~op2(e21,e20)=e21|op2(e21,e21)=e20)|~op2(e21,e21)=e20)|op2(e21,e20)=e21)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1370])).
% 10.92/1.96 fof(f1374,plain,(
% 10.92/1.96 ~sP121_prd|sP123_prd|op2(e21,e21)=e20),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1371])).
% 10.92/1.96 fof(f1378,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP124_prd])],[])).
% 10.92/1.96 fof(f1379,plain,(
% 10.92/1.96 sP122_prd<=>(sP124_prd|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1360,f1378])).
% 10.92/1.96 fof(f1380,plain,(
% 10.92/1.96 (~sP122_prd|(sP124_prd|(((op1(e11,e10)=e11&~op1(e11,e11)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10)))&(sP122_prd|(~sP124_prd&(((~op1(e11,e10)=e11|op1(e11,e11)=e10)|~op1(e10,e10)=e10)|op1(e10,e10)=e10)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1379])).
% 10.92/1.96 fof(f1383,plain,(
% 10.92/1.96 ~sP122_prd|sP124_prd|op1(e10,e10)=e10),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1380])).
% 10.92/1.96 fof(f1384,plain,(
% 10.92/1.96 ~sP122_prd|sP124_prd|~op1(e10,e10)=e10),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1380])).
% 10.92/1.96 fof(f1387,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP125_prd])],[])).
% 10.92/1.96 fof(f1388,plain,(
% 10.92/1.96 sP123_prd<=>(sP125_prd|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1369,f1387])).
% 10.92/1.96 fof(f1389,plain,(
% 10.92/1.96 (~sP123_prd|(sP125_prd|(((op2(e21,e20)=e21&~op2(e21,e21)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20)))&(sP123_prd|(~sP125_prd&(((~op2(e21,e20)=e21|op2(e21,e21)=e20)|~op2(e20,e20)=e20)|op2(e20,e20)=e20)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1388])).
% 10.92/1.96 fof(f1392,plain,(
% 10.92/1.96 ~sP123_prd|sP125_prd|op2(e20,e20)=e20),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1389])).
% 10.92/1.96 fof(f1393,plain,(
% 10.92/1.96 ~sP123_prd|sP125_prd|~op2(e20,e20)=e20),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1389])).
% 10.92/1.96 fof(f1396,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP126_prd])],[])).
% 10.92/1.96 fof(f1397,plain,(
% 10.92/1.96 sP124_prd<=>(sP126_prd|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1378,f1396])).
% 10.92/1.96 fof(f1398,plain,(
% 10.92/1.96 (~sP124_prd|(sP126_prd|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e13,e13)=e13)&~op1(e13,e13)=e13)))&(sP124_prd|(~sP126_prd&(((~op1(e10,e13)=e10|op1(e10,e10)=e13)|~op1(e13,e13)=e13)|op1(e13,e13)=e13)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1397])).
% 10.92/1.96 fof(f1401,plain,(
% 10.92/1.96 ~sP124_prd|sP126_prd|op1(e13,e13)=e13),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1398])).
% 10.92/1.96 fof(f1402,plain,(
% 10.92/1.96 ~sP124_prd|sP126_prd|~op1(e13,e13)=e13),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1398])).
% 10.92/1.96 fof(f1405,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP127_prd])],[])).
% 10.92/1.96 fof(f1406,plain,(
% 10.92/1.96 sP125_prd<=>(sP127_prd|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1387,f1405])).
% 10.92/1.96 fof(f1407,plain,(
% 10.92/1.96 (~sP125_prd|(sP127_prd|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e23,e23)=e23)&~op2(e23,e23)=e23)))&(sP125_prd|(~sP127_prd&(((~op2(e20,e23)=e20|op2(e20,e20)=e23)|~op2(e23,e23)=e23)|op2(e23,e23)=e23)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1406])).
% 10.92/1.96 fof(f1410,plain,(
% 10.92/1.96 ~sP125_prd|sP127_prd|op2(e23,e23)=e23),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1407])).
% 10.92/1.96 fof(f1411,plain,(
% 10.92/1.96 ~sP125_prd|sP127_prd|~op2(e23,e23)=e23),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1407])).
% 10.92/1.96 fof(f1414,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP128_prd])],[])).
% 10.92/1.96 fof(f1415,plain,(
% 10.92/1.96 sP126_prd<=>(sP128_prd|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1396,f1414])).
% 10.92/1.96 fof(f1416,plain,(
% 10.92/1.96 (~sP126_prd|(sP128_prd|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e12,e12)=e13)&~op1(e12,e13)=e12)))&(sP126_prd|(~sP128_prd&(((~op1(e10,e13)=e10|op1(e10,e10)=e13)|~op1(e12,e12)=e13)|op1(e12,e13)=e12)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1415])).
% 10.92/1.96 fof(f1419,plain,(
% 10.92/1.96 ~sP126_prd|sP128_prd|op1(e12,e12)=e13),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1416])).
% 10.92/1.96 fof(f1423,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP129_prd])],[])).
% 10.92/1.96 fof(f1424,plain,(
% 10.92/1.96 sP127_prd<=>(sP129_prd|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1405,f1423])).
% 10.92/1.96 fof(f1425,plain,(
% 10.92/1.96 (~sP127_prd|(sP129_prd|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e22,e22)=e23)&~op2(e22,e23)=e22)))&(sP127_prd|(~sP129_prd&(((~op2(e20,e23)=e20|op2(e20,e20)=e23)|~op2(e22,e22)=e23)|op2(e22,e23)=e22)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1424])).
% 10.92/1.96 fof(f1428,plain,(
% 10.92/1.96 ~sP127_prd|sP129_prd|op2(e22,e22)=e23),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1425])).
% 10.92/1.96 fof(f1432,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP130_prd])],[])).
% 10.92/1.96 fof(f1433,plain,(
% 10.92/1.96 sP128_prd<=>(sP130_prd|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1414,f1432])).
% 10.92/1.96 fof(f1434,plain,(
% 10.92/1.96 (~sP128_prd|(sP130_prd|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e11,e11)=e13)&~op1(e11,e13)=e11)))&(sP128_prd|(~sP130_prd&(((~op1(e10,e13)=e10|op1(e10,e10)=e13)|~op1(e11,e11)=e13)|op1(e11,e13)=e11)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1433])).
% 10.92/1.96 fof(f1437,plain,(
% 10.92/1.96 ~sP128_prd|sP130_prd|op1(e11,e11)=e13),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1434])).
% 10.92/1.96 fof(f1441,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP131_prd])],[])).
% 10.92/1.96 fof(f1442,plain,(
% 10.92/1.96 sP129_prd<=>(sP131_prd|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1423,f1441])).
% 10.92/1.96 fof(f1443,plain,(
% 10.92/1.96 (~sP129_prd|(sP131_prd|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e21,e21)=e23)&~op2(e21,e23)=e21)))&(sP129_prd|(~sP131_prd&(((~op2(e20,e23)=e20|op2(e20,e20)=e23)|~op2(e21,e21)=e23)|op2(e21,e23)=e21)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1442])).
% 10.92/1.96 fof(f1446,plain,(
% 10.92/1.96 ~sP129_prd|sP131_prd|op2(e21,e21)=e23),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1443])).
% 10.92/1.96 fof(f1450,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP132_prd])],[])).
% 10.92/1.96 fof(f1451,plain,(
% 10.92/1.96 sP130_prd<=>(sP132_prd|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1432,f1450])).
% 10.92/1.96 fof(f1452,plain,(
% 10.92/1.96 (~sP130_prd|(sP132_prd|(((op1(e10,e13)=e10&~op1(e10,e10)=e13)&op1(e10,e10)=e13)&~op1(e10,e13)=e10)))&(sP130_prd|(~sP132_prd&(((~op1(e10,e13)=e10|op1(e10,e10)=e13)|~op1(e10,e10)=e13)|op1(e10,e13)=e10)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1451])).
% 10.92/1.96 fof(f1454,plain,(
% 10.92/1.96 ~sP130_prd|sP132_prd|~op1(e10,e10)=e13),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1452])).
% 10.92/1.96 fof(f1455,plain,(
% 10.92/1.96 ~sP130_prd|sP132_prd|op1(e10,e10)=e13),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1452])).
% 10.92/1.96 fof(f1459,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP133_prd])],[])).
% 10.92/1.96 fof(f1460,plain,(
% 10.92/1.96 sP131_prd<=>(sP133_prd|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1441,f1459])).
% 10.92/1.96 fof(f1461,plain,(
% 10.92/1.96 (~sP131_prd|(sP133_prd|(((op2(e20,e23)=e20&~op2(e20,e20)=e23)&op2(e20,e20)=e23)&~op2(e20,e23)=e20)))&(sP131_prd|(~sP133_prd&(((~op2(e20,e23)=e20|op2(e20,e20)=e23)|~op2(e20,e20)=e23)|op2(e20,e23)=e20)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1460])).
% 10.92/1.96 fof(f1463,plain,(
% 10.92/1.96 ~sP131_prd|sP133_prd|~op2(e20,e20)=e23),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1461])).
% 10.92/1.96 fof(f1464,plain,(
% 10.92/1.96 ~sP131_prd|sP133_prd|op2(e20,e20)=e23),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1461])).
% 10.92/1.96 fof(f1468,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP134_prd])],[])).
% 10.92/1.96 fof(f1469,plain,(
% 10.92/1.96 sP132_prd<=>(sP134_prd|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1450,f1468])).
% 10.92/1.96 fof(f1470,plain,(
% 10.92/1.96 (~sP132_prd|(sP134_prd|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e13,e13)=e12)&~op1(e13,e12)=e13)))&(sP132_prd|(~sP134_prd&(((~op1(e10,e12)=e10|op1(e10,e10)=e12)|~op1(e13,e13)=e12)|op1(e13,e12)=e13)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1469])).
% 10.92/1.96 fof(f1473,plain,(
% 10.92/1.96 ~sP132_prd|sP134_prd|op1(e13,e13)=e12),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1470])).
% 10.92/1.96 fof(f1477,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP135_prd])],[])).
% 10.92/1.96 fof(f1478,plain,(
% 10.92/1.96 sP133_prd<=>(sP135_prd|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1459,f1477])).
% 10.92/1.96 fof(f1479,plain,(
% 10.92/1.96 (~sP133_prd|(sP135_prd|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e23,e23)=e22)&~op2(e23,e22)=e23)))&(sP133_prd|(~sP135_prd&(((~op2(e20,e22)=e20|op2(e20,e20)=e22)|~op2(e23,e23)=e22)|op2(e23,e22)=e23)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1478])).
% 10.92/1.96 fof(f1482,plain,(
% 10.92/1.96 ~sP133_prd|sP135_prd|op2(e23,e23)=e22),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1479])).
% 10.92/1.96 fof(f1486,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP136_prd])],[])).
% 10.92/1.96 fof(f1487,plain,(
% 10.92/1.96 sP134_prd<=>(sP136_prd|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1468,f1486])).
% 10.92/1.96 fof(f1488,plain,(
% 10.92/1.96 (~sP134_prd|(sP136_prd|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e12,e12)=e12)&~op1(e12,e12)=e12)))&(sP134_prd|(~sP136_prd&(((~op1(e10,e12)=e10|op1(e10,e10)=e12)|~op1(e12,e12)=e12)|op1(e12,e12)=e12)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1487])).
% 10.92/1.96 fof(f1491,plain,(
% 10.92/1.96 ~sP134_prd|sP136_prd|op1(e12,e12)=e12),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1488])).
% 10.92/1.96 fof(f1492,plain,(
% 10.92/1.96 ~sP134_prd|sP136_prd|~op1(e12,e12)=e12),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1488])).
% 10.92/1.96 fof(f1495,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP137_prd])],[])).
% 10.92/1.96 fof(f1496,plain,(
% 10.92/1.96 sP135_prd<=>(sP137_prd|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1477,f1495])).
% 10.92/1.96 fof(f1497,plain,(
% 10.92/1.96 (~sP135_prd|(sP137_prd|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e22,e22)=e22)&~op2(e22,e22)=e22)))&(sP135_prd|(~sP137_prd&(((~op2(e20,e22)=e20|op2(e20,e20)=e22)|~op2(e22,e22)=e22)|op2(e22,e22)=e22)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1496])).
% 10.92/1.96 fof(f1500,plain,(
% 10.92/1.96 ~sP135_prd|sP137_prd|op2(e22,e22)=e22),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1497])).
% 10.92/1.96 fof(f1501,plain,(
% 10.92/1.96 ~sP135_prd|sP137_prd|~op2(e22,e22)=e22),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1497])).
% 10.92/1.96 fof(f1504,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP138_prd])],[])).
% 10.92/1.96 fof(f1505,plain,(
% 10.92/1.96 sP136_prd<=>(sP138_prd|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1486,f1504])).
% 10.92/1.96 fof(f1506,plain,(
% 10.92/1.96 (~sP136_prd|(sP138_prd|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e11,e11)=e12)&~op1(e11,e12)=e11)))&(sP136_prd|(~sP138_prd&(((~op1(e10,e12)=e10|op1(e10,e10)=e12)|~op1(e11,e11)=e12)|op1(e11,e12)=e11)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1505])).
% 10.92/1.96 fof(f1507,plain,(
% 10.92/1.96 ~sP136_prd|sP138_prd|op1(e10,e12)=e10),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1506])).
% 10.92/1.96 fof(f1513,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP139_prd])],[])).
% 10.92/1.96 fof(f1514,plain,(
% 10.92/1.96 sP137_prd<=>(sP139_prd|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1495,f1513])).
% 10.92/1.96 fof(f1515,plain,(
% 10.92/1.96 (~sP137_prd|(sP139_prd|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e21,e21)=e22)&~op2(e21,e22)=e21)))&(sP137_prd|(~sP139_prd&(((~op2(e20,e22)=e20|op2(e20,e20)=e22)|~op2(e21,e21)=e22)|op2(e21,e22)=e21)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1514])).
% 10.92/1.96 fof(f1516,plain,(
% 10.92/1.96 ~sP137_prd|sP139_prd|op2(e20,e22)=e20),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1515])).
% 10.92/1.96 fof(f1522,definition,(
% 10.92/1.96 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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP140_prd])],[])).
% 10.92/1.96 fof(f1523,plain,(
% 10.92/1.96 sP138_prd<=>(sP140_prd|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1504,f1522])).
% 10.92/1.96 fof(f1524,plain,(
% 10.92/1.96 (~sP138_prd|(sP140_prd|(((op1(e10,e12)=e10&~op1(e10,e10)=e12)&op1(e10,e10)=e12)&~op1(e10,e12)=e10)))&(sP138_prd|(~sP140_prd&(((~op1(e10,e12)=e10|op1(e10,e10)=e12)|~op1(e10,e10)=e12)|op1(e10,e12)=e10)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1523])).
% 10.92/1.96 fof(f1526,plain,(
% 10.92/1.96 ~sP138_prd|sP140_prd|~op1(e10,e10)=e12),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1524])).
% 10.92/1.96 fof(f1527,plain,(
% 10.92/1.96 ~sP138_prd|sP140_prd|op1(e10,e10)=e12),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1524])).
% 10.92/1.96 fof(f1531,definition,(
% 10.92/1.96 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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP141_prd])],[])).
% 10.92/1.96 fof(f1532,plain,(
% 10.92/1.96 sP139_prd<=>(sP141_prd|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1513,f1531])).
% 10.92/1.96 fof(f1533,plain,(
% 10.92/1.96 (~sP139_prd|(sP141_prd|(((op2(e20,e22)=e20&~op2(e20,e20)=e22)&op2(e20,e20)=e22)&~op2(e20,e22)=e20)))&(sP139_prd|(~sP141_prd&(((~op2(e20,e22)=e20|op2(e20,e20)=e22)|~op2(e20,e20)=e22)|op2(e20,e22)=e20)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1532])).
% 10.92/1.96 fof(f1535,plain,(
% 10.92/1.96 ~sP139_prd|sP141_prd|~op2(e20,e20)=e22),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1533])).
% 10.92/1.96 fof(f1536,plain,(
% 10.92/1.96 ~sP139_prd|sP141_prd|op2(e20,e20)=e22),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1533])).
% 10.92/1.96 fof(f1540,definition,(
% 10.92/1.96 sP142_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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP142_prd])],[])).
% 10.92/1.96 fof(f1541,plain,(
% 10.92/1.96 sP140_prd<=>(sP142_prd|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1522,f1540])).
% 10.92/1.96 fof(f1542,plain,(
% 10.92/1.96 (~sP140_prd|(sP142_prd|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e13,e13)=e11)&~op1(e13,e11)=e13)))&(sP140_prd|(~sP142_prd&(((~op1(e10,e11)=e10|op1(e10,e10)=e11)|~op1(e13,e13)=e11)|op1(e13,e11)=e13)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1541])).
% 10.92/1.96 fof(f1545,plain,(
% 10.92/1.96 ~sP140_prd|sP142_prd|op1(e13,e13)=e11),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1542])).
% 10.92/1.96 fof(f1549,definition,(
% 10.92/1.96 sP143_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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP143_prd])],[])).
% 10.92/1.96 fof(f1550,plain,(
% 10.92/1.96 sP141_prd<=>(sP143_prd|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1531,f1549])).
% 10.92/1.96 fof(f1551,plain,(
% 10.92/1.96 (~sP141_prd|(sP143_prd|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e23,e23)=e21)&~op2(e23,e21)=e23)))&(sP141_prd|(~sP143_prd&(((~op2(e20,e21)=e20|op2(e20,e20)=e21)|~op2(e23,e23)=e21)|op2(e23,e21)=e23)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1550])).
% 10.92/1.96 fof(f1554,plain,(
% 10.92/1.96 ~sP141_prd|sP143_prd|op2(e23,e23)=e21),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1551])).
% 10.92/1.96 fof(f1558,definition,(
% 10.92/1.96 sP144_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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP144_prd])],[])).
% 10.92/1.96 fof(f1559,plain,(
% 10.92/1.96 sP142_prd<=>(sP144_prd|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1540,f1558])).
% 10.92/1.96 fof(f1560,plain,(
% 10.92/1.96 (~sP142_prd|(sP144_prd|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e12,e12)=e11)&~op1(e12,e11)=e12)))&(sP142_prd|(~sP144_prd&(((~op1(e10,e11)=e10|op1(e10,e10)=e11)|~op1(e12,e12)=e11)|op1(e12,e11)=e12)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1559])).
% 10.92/1.96 fof(f1562,plain,(
% 10.92/1.96 ~sP142_prd|sP144_prd|~op1(e10,e10)=e11),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1560])).
% 10.92/1.96 fof(f1567,definition,(
% 10.92/1.96 sP145_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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP145_prd])],[])).
% 10.92/1.96 fof(f1568,plain,(
% 10.92/1.96 sP143_prd<=>(sP145_prd|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1549,f1567])).
% 10.92/1.96 fof(f1569,plain,(
% 10.92/1.96 (~sP143_prd|(sP145_prd|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e22,e22)=e21)&~op2(e22,e21)=e22)))&(sP143_prd|(~sP145_prd&(((~op2(e20,e21)=e20|op2(e20,e20)=e21)|~op2(e22,e22)=e21)|op2(e22,e21)=e22)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1568])).
% 10.92/1.96 fof(f1571,plain,(
% 10.92/1.96 ~sP143_prd|sP145_prd|~op2(e20,e20)=e21),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1569])).
% 10.92/1.96 fof(f1576,definition,(
% 10.92/1.96 sP146_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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP146_prd])],[])).
% 10.92/1.96 fof(f1577,plain,(
% 10.92/1.96 sP144_prd<=>(sP146_prd|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1558,f1576])).
% 10.92/1.96 fof(f1578,plain,(
% 10.92/1.96 (~sP144_prd|(sP146_prd|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e11,e11)=e11)&~op1(e11,e11)=e11)))&(sP144_prd|(~sP146_prd&(((~op1(e10,e11)=e10|op1(e10,e10)=e11)|~op1(e11,e11)=e11)|op1(e11,e11)=e11)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1577])).
% 10.92/1.96 fof(f1581,plain,(
% 10.92/1.96 ~sP144_prd|sP146_prd|op1(e11,e11)=e11),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1578])).
% 10.92/1.96 fof(f1585,definition,(
% 10.92/1.96 sP147_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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP147_prd])],[])).
% 10.92/1.96 fof(f1586,plain,(
% 10.92/1.96 sP145_prd<=>(sP147_prd|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1567,f1585])).
% 10.92/1.96 fof(f1587,plain,(
% 10.92/1.96 (~sP145_prd|(sP147_prd|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e21,e21)=e21)&~op2(e21,e21)=e21)))&(sP145_prd|(~sP147_prd&(((~op2(e20,e21)=e20|op2(e20,e20)=e21)|~op2(e21,e21)=e21)|op2(e21,e21)=e21)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1586])).
% 10.92/1.96 fof(f1590,plain,(
% 10.92/1.96 ~sP145_prd|sP147_prd|op2(e21,e21)=e21),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1587])).
% 10.92/1.96 fof(f1594,definition,(
% 10.92/1.96 sP148_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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP148_prd])],[])).
% 10.92/1.96 fof(f1595,plain,(
% 10.92/1.96 sP146_prd<=>(sP148_prd|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1576,f1594])).
% 10.92/1.96 fof(f1596,plain,(
% 10.92/1.96 (~sP146_prd|(sP148_prd|(((op1(e10,e11)=e10&~op1(e10,e10)=e11)&op1(e10,e10)=e11)&~op1(e10,e11)=e10)))&(sP146_prd|(~sP148_prd&(((~op1(e10,e11)=e10|op1(e10,e10)=e11)|~op1(e10,e10)=e11)|op1(e10,e11)=e10)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1595])).
% 10.92/1.96 fof(f1598,plain,(
% 10.92/1.96 ~sP146_prd|sP148_prd|~op1(e10,e10)=e11),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1596])).
% 10.92/1.96 fof(f1599,plain,(
% 10.92/1.96 ~sP146_prd|sP148_prd|op1(e10,e10)=e11),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1596])).
% 10.92/1.96 fof(f1603,definition,(
% 10.92/1.96 sP149_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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP149_prd])],[])).
% 10.92/1.96 fof(f1604,plain,(
% 10.92/1.96 sP147_prd<=>(sP149_prd|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1585,f1603])).
% 10.92/1.96 fof(f1605,plain,(
% 10.92/1.96 (~sP147_prd|(sP149_prd|(((op2(e20,e21)=e20&~op2(e20,e20)=e21)&op2(e20,e20)=e21)&~op2(e20,e21)=e20)))&(sP147_prd|(~sP149_prd&(((~op2(e20,e21)=e20|op2(e20,e20)=e21)|~op2(e20,e20)=e21)|op2(e20,e21)=e20)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1604])).
% 10.92/1.96 fof(f1607,plain,(
% 10.92/1.96 ~sP147_prd|sP149_prd|~op2(e20,e20)=e21),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1605])).
% 10.92/1.96 fof(f1608,plain,(
% 10.92/1.96 ~sP147_prd|sP149_prd|op2(e20,e20)=e21),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1605])).
% 10.92/1.96 fof(f1612,definition,(
% 10.92/1.96 sP150_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,e11)=e10)&~op1(e11,e10)=e11))|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP150_prd])],[])).
% 10.92/1.96 fof(f1613,plain,(
% 10.92/1.96 sP148_prd<=>(sP150_prd|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1594,f1612])).
% 10.92/1.96 fof(f1614,plain,(
% 10.92/1.96 (~sP148_prd|(sP150_prd|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e13,e13)=e10)&~op1(e13,e10)=e13)))&(sP148_prd|(~sP150_prd&(((~op1(e10,e10)=e10|op1(e10,e10)=e10)|~op1(e13,e13)=e10)|op1(e13,e10)=e13)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1613])).
% 10.92/1.96 fof(f1615,plain,(
% 10.92/1.96 ~sP148_prd|sP150_prd|op1(e10,e10)=e10),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1614])).
% 10.92/1.96 fof(f1616,plain,(
% 10.92/1.96 ~sP148_prd|sP150_prd|~op1(e10,e10)=e10),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1614])).
% 10.92/1.96 fof(f1621,definition,(
% 10.92/1.96 sP151_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,e21)=e20)&~op2(e21,e20)=e21))|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP151_prd])],[])).
% 10.92/1.96 fof(f1622,plain,(
% 10.92/1.96 sP149_prd<=>(sP151_prd|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1603,f1621])).
% 10.92/1.96 fof(f1623,plain,(
% 10.92/1.96 (~sP149_prd|(sP151_prd|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e23,e23)=e20)&~op2(e23,e20)=e23)))&(sP149_prd|(~sP151_prd&(((~op2(e20,e20)=e20|op2(e20,e20)=e20)|~op2(e23,e23)=e20)|op2(e23,e20)=e23)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1622])).
% 10.92/1.96 fof(f1624,plain,(
% 10.92/1.96 ~sP149_prd|sP151_prd|op2(e20,e20)=e20),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1623])).
% 10.92/1.96 fof(f1625,plain,(
% 10.92/1.96 ~sP149_prd|sP151_prd|~op2(e20,e20)=e20),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1623])).
% 10.92/1.96 fof(f1630,definition,(
% 10.92/1.96 sP152_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,e11)=e10)&~op1(e11,e10)=e11))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP152_prd])],[])).
% 10.92/1.96 fof(f1631,plain,(
% 10.92/1.96 sP150_prd<=>(sP152_prd|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1612,f1630])).
% 10.92/1.96 fof(f1632,plain,(
% 10.92/1.96 (~sP150_prd|(sP152_prd|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e12,e12)=e10)&~op1(e12,e10)=e12)))&(sP150_prd|(~sP152_prd&(((~op1(e10,e10)=e10|op1(e10,e10)=e10)|~op1(e12,e12)=e10)|op1(e12,e10)=e12)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1631])).
% 10.92/1.96 fof(f1633,plain,(
% 10.92/1.96 ~sP150_prd|sP152_prd|op1(e10,e10)=e10),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1632])).
% 10.92/1.96 fof(f1634,plain,(
% 10.92/1.96 ~sP150_prd|sP152_prd|~op1(e10,e10)=e10),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1632])).
% 10.92/1.96 fof(f1639,definition,(
% 10.92/1.96 sP153_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,e21)=e20)&~op2(e21,e20)=e21))),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP153_prd])],[])).
% 10.92/1.96 fof(f1640,plain,(
% 10.92/1.96 sP151_prd<=>(sP153_prd|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1621,f1639])).
% 10.92/1.96 fof(f1641,plain,(
% 10.92/1.96 (~sP151_prd|(sP153_prd|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e22,e22)=e20)&~op2(e22,e20)=e22)))&(sP151_prd|(~sP153_prd&(((~op2(e20,e20)=e20|op2(e20,e20)=e20)|~op2(e22,e22)=e20)|op2(e22,e20)=e22)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1640])).
% 10.92/1.96 fof(f1642,plain,(
% 10.92/1.96 ~sP151_prd|sP153_prd|op2(e20,e20)=e20),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1641])).
% 10.92/1.96 fof(f1643,plain,(
% 10.92/1.96 ~sP151_prd|sP153_prd|~op2(e20,e20)=e20),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1641])).
% 10.92/1.96 fof(f1648,definition,(
% 10.92/1.96 sP154_prd<=>(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10)),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP154_prd])],[])).
% 10.92/1.96 fof(f1649,plain,(
% 10.92/1.96 sP152_prd<=>(sP154_prd|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1630,f1648])).
% 10.92/1.96 fof(f1650,plain,(
% 10.92/1.96 (~sP152_prd|(sP154_prd|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e11,e11)=e10)&~op1(e11,e10)=e11)))&(sP152_prd|(~sP154_prd&(((~op1(e10,e10)=e10|op1(e10,e10)=e10)|~op1(e11,e11)=e10)|op1(e11,e10)=e11)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1649])).
% 10.92/1.96 fof(f1651,plain,(
% 10.92/1.96 ~sP152_prd|sP154_prd|op1(e10,e10)=e10),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1650])).
% 10.92/1.96 fof(f1652,plain,(
% 10.92/1.96 ~sP152_prd|sP154_prd|~op1(e10,e10)=e10),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1650])).
% 10.92/1.96 fof(f1657,definition,(
% 10.92/1.96 sP155_prd<=>(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20)),
% 10.92/1.96 introduced(definition,[new_symbols(definition,[sP155_prd])],[])).
% 10.92/1.96 fof(f1658,plain,(
% 10.92/1.96 sP153_prd<=>(sP155_prd|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21))),
% 10.92/1.96 inference(formula_renaming,[status(thm)],[f1639,f1657])).
% 10.92/1.96 fof(f1659,plain,(
% 10.92/1.96 (~sP153_prd|(sP155_prd|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e21,e21)=e20)&~op2(e21,e20)=e21)))&(sP153_prd|(~sP155_prd&(((~op2(e20,e20)=e20|op2(e20,e20)=e20)|~op2(e21,e21)=e20)|op2(e21,e20)=e21)))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1658])).
% 10.92/1.96 fof(f1660,plain,(
% 10.92/1.96 ~sP153_prd|sP155_prd|op2(e20,e20)=e20),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1659])).
% 10.92/1.96 fof(f1661,plain,(
% 10.92/1.96 ~sP153_prd|sP155_prd|~op2(e20,e20)=e20),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1659])).
% 10.92/1.96 fof(f1666,plain,(
% 10.92/1.96 (~sP154_prd|(((op1(e10,e10)=e10&~op1(e10,e10)=e10)&op1(e10,e10)=e10)&~op1(e10,e10)=e10))&(sP154_prd|(((~op1(e10,e10)=e10|op1(e10,e10)=e10)|~op1(e10,e10)=e10)|op1(e10,e10)=e10))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1648])).
% 10.92/1.96 fof(f1667,plain,(
% 10.92/1.96 ~sP154_prd|op1(e10,e10)=e10),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1666])).
% 10.92/1.96 fof(f1668,plain,(
% 10.92/1.96 ~sP154_prd|~op1(e10,e10)=e10),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1666])).
% 10.92/1.96 fof(f1672,plain,(
% 10.92/1.96 (~sP155_prd|(((op2(e20,e20)=e20&~op2(e20,e20)=e20)&op2(e20,e20)=e20)&~op2(e20,e20)=e20))&(sP155_prd|(((~op2(e20,e20)=e20|op2(e20,e20)=e20)|~op2(e20,e20)=e20)|op2(e20,e20)=e20))),
% 10.92/1.96 inference(NNF_transformation,[status(thm)],[f1657])).
% 10.92/1.96 fof(f1673,plain,(
% 10.92/1.96 ~sP155_prd|op2(e20,e20)=e20),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1672])).
% 10.92/1.96 fof(f1674,plain,(
% 10.92/1.96 ~sP155_prd|~op2(e20,e20)=e20),
% 10.92/1.96 inference(cnf_transformation,[status(thm)],[f1672])).
% 10.92/1.96 fof(f1678,plain,(
% 10.92/1.96 sP0_prd),
% 10.92/1.96 inference(forward_subsumption_resolution,[status(thm)],[f244,f243])).
% 10.92/1.96 fof(f1679,plain,(
% 10.92/1.96 sP2_prd),
% 10.92/1.96 inference(forward_subsumption_resolution,[status(thm)],[f259,f258])).
% 10.92/1.96 fof(f1680,plain,(
% 10.92/1.96 e10=op1(op1(op1(e11,e11),e11),op1(e12,e11))),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f271,f270])).
% 10.92/1.96 fof(f1682,plain,(
% 10.92/1.96 ~e12=op1(e11,e13)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f271,f150])).
% 10.92/1.96 fof(f1684,plain,(
% 10.92/1.96 ~op1(e11,e10)=e12),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f271,f146])).
% 10.92/1.96 fof(f1685,plain,(
% 10.92/1.96 ~e12=op1(e13,e11)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f271,f126])).
% 10.92/1.96 fof(f1694,plain,(
% 10.92/1.96 op1(e10,e11)=e10|e12=e10|op1(e12,e11)=e10|op1(e13,e11)=e10),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f271,f45])).
% 10.92/1.96 fof(f1695,plain,(
% 10.92/1.96 op1(e11,e10)=e10|e12=e10|op1(e11,e12)=e10|op1(e11,e13)=e10),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f271,f44])).
% 10.92/1.96 fof(f1697,plain,(
% 10.92/1.96 ~e13=op1(e12,e13)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1707,f156])).
% 10.92/1.96 fof(f1698,plain,(
% 10.92/1.96 ~e13=op1(e12,e12)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1707,f155])).
% 10.92/1.96 fof(f1699,plain,(
% 10.92/1.96 ~op1(e12,e10)=e13),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1707,f152])).
% 10.92/1.96 fof(f1700,plain,(
% 10.92/1.96 ~e13=op1(e13,e11)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1707,f127])).
% 10.92/1.96 fof(f1701,plain,(
% 10.92/1.96 ~op1(e10,e11)=e13),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1707,f123])).
% 10.92/1.96 fof(f1703,plain,(
% 10.92/1.96 op1(e12,e10)=e12|e13=e12|op1(e12,e12)=e12|op1(e12,e13)=e12),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1707,f56])).
% 10.92/1.96 fof(f1704,plain,(
% 10.92/1.96 op1(e12,e10)=e11|e13=e11|op1(e12,e12)=e11|op1(e12,e13)=e11),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1707,f54])).
% 10.92/1.96 fof(f1707,plain,(
% 10.92/1.96 e13=op1(e12,e11)),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f271,f272])).
% 10.92/1.96 fof(f1708,plain,(
% 10.92/1.96 e20=op2(op2(op2(e21,e21),e21),op2(e22,e21))),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f274,f273])).
% 10.92/1.96 fof(f1710,plain,(
% 10.92/1.96 ~e22=op2(e21,e23)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f274,f198])).
% 10.92/1.96 fof(f1713,plain,(
% 10.92/1.96 ~e22=op2(e23,e21)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f274,f174])).
% 10.92/1.96 fof(f1722,plain,(
% 10.92/1.96 op2(e20,e21)=e20|e22=e20|op2(e22,e21)=e20|op2(e23,e21)=e20),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f274,f93])).
% 10.92/1.96 fof(f1723,plain,(
% 10.92/1.96 op2(e21,e20)=e20|e22=e20|op2(e21,e22)=e20|op2(e21,e23)=e20),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f274,f92])).
% 10.92/1.96 fof(f1725,plain,(
% 10.92/1.96 ~e23=op2(e22,e23)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1735,f204])).
% 10.92/1.96 fof(f1726,plain,(
% 10.92/1.96 ~e23=op2(e22,e22)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1735,f203])).
% 10.92/1.96 fof(f1727,plain,(
% 10.92/1.96 ~op2(e22,e20)=e23),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1735,f200])).
% 10.92/1.96 fof(f1728,plain,(
% 10.92/1.96 ~e23=op2(e23,e21)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1735,f175])).
% 10.92/1.96 fof(f1729,plain,(
% 10.92/1.96 ~op2(e20,e21)=e23),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1735,f171])).
% 10.92/1.96 fof(f1731,plain,(
% 10.92/1.96 op2(e22,e20)=e22|e23=e22|op2(e22,e22)=e22|op2(e22,e23)=e22),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f1735,f104])).
% 10.92/1.96 fof(f1735,plain,(
% 10.92/1.96 e23=op2(e22,e21)),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f274,f275])).
% 10.92/1.96 fof(f1738,plain,(
% 10.92/1.96 ~h1(e12)=op2(e20,e23)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f278,f190])).
% 10.92/1.96 fof(f1739,plain,(
% 10.92/1.96 ~h1(e12)=op2(e20,e22)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f278,f189])).
% 10.92/1.96 fof(f1740,plain,(
% 10.92/1.96 ~h1(e12)=op2(e20,e21)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f278,f188])).
% 10.92/1.96 fof(f1741,plain,(
% 10.92/1.96 ~h1(e12)=op2(e23,e20)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f278,f166])).
% 10.92/1.96 fof(f1743,plain,(
% 10.92/1.96 ~h1(e12)=op2(e21,e20)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f278,f164])).
% 10.92/1.96 fof(f1744,plain,(
% 10.92/1.96 h1(e12)=e23|op2(e21,e20)=e23|op2(e22,e20)=e23|op2(e23,e20)=e23),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f278,f91])).
% 10.92/1.96 fof(f1745,plain,(
% 10.92/1.96 h1(e12)=e23|op2(e20,e21)=e23|op2(e20,e22)=e23|op2(e20,e23)=e23),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f278,f90])).
% 10.92/1.96 fof(f1748,plain,(
% 10.92/1.96 h1(e12)=e21|op2(e21,e20)=e21|op2(e22,e20)=e21|op2(e23,e20)=e21),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f278,f87])).
% 10.92/1.96 fof(f1750,plain,(
% 10.92/1.96 h1(e12)=e20|op2(e21,e20)=e20|op2(e22,e20)=e20|op2(e23,e20)=e20),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f278,f85])).
% 10.92/1.96 fof(f1752,plain,(
% 10.92/1.96 op2(e20,e20)=e20|op2(e20,e20)=e21|op2(e20,e20)=e22|h1(e12)=e23),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f278,f68])).
% 10.92/1.96 fof(f1753,plain,(
% 10.92/1.96 h1(e13)=op2(h1(e12),e20)),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f278,f279])).
% 10.92/1.96 fof(f1754,plain,(
% 10.92/1.96 h2(e10)=e20),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f273,f281])).
% 10.92/1.96 fof(f1755,plain,(
% 10.92/1.96 h2(e12)=e22),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f274,f282])).
% 10.92/1.96 fof(f1756,plain,(
% 10.92/1.96 h2(e13)=op2(e22,e21)),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f274,f283])).
% 10.92/1.96 fof(f1757,plain,(
% 10.92/1.96 h2(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1735,f1756])).
% 10.92/1.96 fof(f1759,plain,(
% 10.92/1.96 sP3_prd|~op2(e22,e23)=e22|h3(e12)=e23),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f286,f268])).
% 10.92/1.96 fof(f1767,plain,(
% 10.92/1.96 op2(e20,e22)=e21|op2(e21,e22)=e21|h3(e12)=e21|op2(e23,e22)=e21),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f286,f103])).
% 10.92/1.96 fof(f1772,plain,(
% 10.92/1.96 sP3_prd|op2(e23,h4(e12))=e23),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f290,f265])).
% 10.92/1.96 fof(f1774,plain,(
% 10.92/1.96 ~op2(e23,e21)=h4(e12)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f290,f210])).
% 10.92/1.96 fof(f1775,plain,(
% 10.92/1.96 ~op2(e23,e20)=h4(e12)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f290,f208])).
% 10.92/1.96 fof(f1776,plain,(
% 10.92/1.96 ~op2(e22,e23)=h4(e12)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f290,f187])).
% 10.92/1.96 fof(f1777,plain,(
% 10.92/1.96 ~op2(e21,e23)=h4(e12)),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f290,f186])).
% 10.92/1.96 fof(f1780,plain,(
% 10.92/1.96 op2(e23,e20)=e23|op2(e23,e21)=e23|op2(e23,e22)=e23|h4(e12)=e23),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f290,f114])).
% 10.92/1.96 fof(f1781,plain,(
% 10.92/1.96 op2(e20,e23)=e22|op2(e21,e23)=e22|op2(e22,e23)=e22|h4(e12)=e22),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f290,f113])).
% 10.92/1.96 fof(f1782,plain,(
% 10.92/1.96 op2(e23,e20)=e22|op2(e23,e21)=e22|op2(e23,e22)=e22|h4(e12)=e22),
% 10.92/1.96 inference(backward_demodulation,[status(thm)],[f290,f112])).
% 10.92/1.96 fof(f1788,plain,(
% 10.92/1.96 h4(e13)=op2(h4(e12),e23)),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f290,f291])).
% 10.92/1.96 fof(f1971,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=op2(e20,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1754,f313])).
% 10.92/1.96 fof(f1972,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=op2(e20,e20)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1754,f1971])).
% 10.92/1.96 fof(f1973,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f278,f1972])).
% 10.92/1.96 fof(f1974,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1754,f1973])).
% 10.92/1.96 fof(f1975,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f280,f1974])).
% 10.92/1.96 fof(f1976,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1754,f1975])).
% 10.92/1.96 fof(f1977,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1755,f1976])).
% 10.92/1.96 fof(f1978,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1754,f1977])).
% 10.92/1.96 fof(f1979,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1757,f1978])).
% 10.92/1.96 fof(f1980,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f280,f1979])).
% 10.92/1.96 fof(f1981,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1754,f1980])).
% 10.92/1.96 fof(f1982,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(e12)=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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f271,f1981])).
% 10.92/1.96 fof(f1983,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1755,f1982])).
% 10.92/1.96 fof(f1984,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=op2(e21,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f280,f1983])).
% 10.92/1.96 fof(f1985,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=op2(e21,e21)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f280,f1984])).
% 10.92/1.96 fof(f1986,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f274,f1985])).
% 10.92/1.96 fof(f1987,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f280,f1986])).
% 10.92/1.96 fof(f1988,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1755,f1987])).
% 10.92/1.96 fof(f1989,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f280,f1988])).
% 10.92/1.96 fof(f1990,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1757,f1989])).
% 10.92/1.96 fof(f1991,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1755,f1990])).
% 10.92/1.96 fof(f1992,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1754,f1991])).
% 10.92/1.96 fof(f1993,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(e13)=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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1707,f1992])).
% 10.92/1.96 fof(f1994,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1757,f1993])).
% 10.92/1.96 fof(f1995,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=op2(e22,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1755,f1994])).
% 10.92/1.96 fof(f1996,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=op2(e22,e21)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f280,f1995])).
% 10.92/1.96 fof(f1997,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1735,f1996])).
% 10.92/1.96 fof(f1998,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=op2(e22,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1755,f1997])).
% 10.92/1.96 fof(f1999,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=op2(e22,e22)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1755,f1998])).
% 10.92/1.96 fof(f2000,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f286,f1999])).
% 10.92/1.96 fof(f2001,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1755,f2000])).
% 10.92/1.96 fof(f2002,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1757,f2001])).
% 10.92/1.96 fof(f2003,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1757,f2002])).
% 10.92/1.96 fof(f2004,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1754,f2003])).
% 10.92/1.96 fof(f2005,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1757,f2004])).
% 10.92/1.96 fof(f2006,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~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(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f280,f2005])).
% 10.92/1.96 fof(f2007,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,h2(e12))|~h2(op1(e13,e13))=op2(h2(e13),h2(e13))|sP7_prd|sP8_prd|sP9_prd|~h2(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1757,f2006])).
% 10.92/1.96 fof(f2008,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~h2(op1(e13,e13))=op2(h2(e13),h2(e13))|sP7_prd|sP8_prd|sP9_prd|~h2(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1755,f2007])).
% 10.92/1.96 fof(f2009,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~h2(op1(e13,e13))=op2(e23,h2(e13))|sP7_prd|sP8_prd|sP9_prd|~h2(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1757,f2008])).
% 10.92/1.96 fof(f2010,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~h2(op1(e13,e13))=op2(e23,e23)|sP7_prd|sP8_prd|sP9_prd|~h2(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1757,f2009])).
% 10.92/1.96 fof(f2011,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~h2(op1(e13,e13))=h4(e12)|sP7_prd|sP8_prd|sP9_prd|~h2(e13)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f290,f2010])).
% 10.92/1.96 fof(f2012,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~h2(op1(e13,e13))=h4(e12)|sP7_prd|sP8_prd|sP9_prd|~e23=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1757,f2011])).
% 10.92/1.96 fof(f2013,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~e22=e22|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~e23=e23|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~h2(op1(e13,e13))=h4(e12)|sP7_prd|sP8_prd|sP9_prd),
% 10.92/1.96 inference(duplicate_literals_removal,[status(thm)],[f2012])).
% 10.92/1.96 fof(f2014,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~h2(op1(e13,e13))=h4(e12)|sP7_prd|sP8_prd|sP9_prd),
% 10.92/1.96 inference(trivial_equality_resolution,[status(thm)],[f2013])).
% 10.92/1.96 fof(f2121,plain,(
% 10.92/1.96 sP16_prd|op1(e13,e13)=e13),
% 10.92/1.96 inference(forward_subsumption_resolution,[status(thm)],[f325,f1678])).
% 10.92/1.96 fof(f2123,plain,(
% 10.92/1.96 sP16_prd|~op1(e13,e13)=e13),
% 10.92/1.96 inference(forward_subsumption_resolution,[status(thm)],[f326,f1678])).
% 10.92/1.96 fof(f2126,plain,(
% 10.92/1.96 ~sP1_prd|sP17_prd|op1(e12,e13)=e11),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1707,f338])).
% 10.92/1.96 fof(f2133,plain,(
% 10.92/1.96 ~sP2_prd|sP20_prd|h4(e12)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f290,f353])).
% 10.92/1.96 fof(f2134,plain,(
% 10.92/1.96 sP20_prd|h4(e12)=e23),
% 10.92/1.96 inference(forward_subsumption_resolution,[status(thm)],[f2133,f1679])).
% 10.92/1.96 fof(f2135,plain,(
% 10.92/1.96 ~sP2_prd|sP20_prd|~h4(e12)=e23),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f290,f354])).
% 10.92/1.96 fof(f2137,plain,(
% 10.92/1.96 sP20_prd|~h4(e12)=e23),
% 10.92/1.96 inference(forward_subsumption_resolution,[status(thm)],[f2135,f1679])).
% 10.92/1.96 fof(f2141,plain,(
% 10.92/1.96 ~sP3_prd|sP21_prd|op2(e22,e23)=e21),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1735,f366])).
% 10.92/1.96 fof(f2143,plain,(
% 10.92/1.96 ~sP3_prd|sP21_prd|~op2(e23,e22)=e23|h4(e12)=e22),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f290,f372])).
% 10.92/1.96 fof(f2171,plain,(
% 10.92/1.96 ~sP7_prd|~e20=e20),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1754,f397])).
% 10.92/1.96 fof(f2172,plain,(
% 10.92/1.96 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~h2(op1(e13,e13))=h4(e12)|sP8_prd|sP9_prd),
% 10.92/1.96 inference(backward_subsumption_resolution,[status(thm)],[f2014,f2173])).
% 10.92/1.96 fof(f2173,plain,(
% 10.92/1.96 ~sP7_prd),
% 10.92/1.96 inference(trivial_equality_resolution,[status(thm)],[f2171])).
% 10.92/1.96 fof(f2178,plain,(
% 10.92/1.96 ~sP8_prd|~e21=e21),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f280,f404])).
% 10.92/1.96 fof(f2179,plain,(
% 10.92/1.96 ~sP8_prd),
% 10.92/1.96 inference(trivial_equality_resolution,[status(thm)],[f2178])).
% 10.92/1.96 fof(f2185,plain,(
% 10.92/1.96 ~sP9_prd|~e22=e22),
% 10.92/1.96 inference(forward_demodulation,[status(thm)],[f1755,f411])).
% 10.92/1.96 fof(f2186,plain,(
% 10.92/1.97 ~sP9_prd),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2185])).
% 10.92/1.97 fof(f2210,plain,(
% 10.92/1.97 sP24_prd|op1(e13,e13)=e13),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f453,f2121])).
% 10.92/1.97 fof(f2212,plain,(
% 10.92/1.97 sP24_prd|~op1(e13,e13)=e13),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f454,f2123])).
% 10.92/1.97 fof(f2229,plain,(
% 10.92/1.97 ~sP20_prd|sP28_prd|h4(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f489])).
% 10.92/1.97 fof(f2230,plain,(
% 10.92/1.97 sP28_prd|h4(e12)=e23),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2229,f2134])).
% 10.92/1.97 fof(f2231,plain,(
% 10.92/1.97 ~sP20_prd|sP28_prd|~h4(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f490])).
% 10.92/1.97 fof(f2233,plain,(
% 10.92/1.97 sP28_prd|~h4(e12)=e23),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2231,f2137])).
% 10.92/1.97 fof(f2258,plain,(
% 10.92/1.97 sP32_prd|op1(e13,e13)=e13),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f525,f2210])).
% 10.92/1.97 fof(f2259,plain,(
% 10.92/1.97 sP32_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2258,f2260])).
% 10.92/1.97 fof(f2260,plain,(
% 10.92/1.97 sP32_prd|~op1(e13,e13)=e13),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f526,f2212])).
% 10.92/1.97 fof(f2266,plain,(
% 10.92/1.97 ~sP28_prd|sP35_prd|h4(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f558])).
% 10.92/1.97 fof(f2267,plain,(
% 10.92/1.97 sP35_prd|h4(e12)=e23),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2266,f2230])).
% 10.92/1.97 fof(f2268,plain,(
% 10.92/1.97 ~sP28_prd|sP35_prd|~h4(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f559])).
% 10.92/1.97 fof(f2269,plain,(
% 10.92/1.97 sP35_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2267,f2270])).
% 10.92/1.97 fof(f2270,plain,(
% 10.92/1.97 sP35_prd|~h4(e12)=e23),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2268,f2233])).
% 10.92/1.97 fof(f2283,plain,(
% 10.92/1.97 ~sP30_prd|~op2(e20,e21)=e20|h1(e12)=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f581])).
% 10.92/1.97 fof(f2290,plain,(
% 10.92/1.97 ~sP32_prd|sP38_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f593,f592])).
% 10.92/1.97 fof(f2299,plain,(
% 10.92/1.97 ~sP35_prd|sP39_prd|~h4(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f609])).
% 10.92/1.97 fof(f2300,plain,(
% 10.92/1.97 ~sP35_prd|sP39_prd|h4(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f610])).
% 10.92/1.97 fof(f2301,plain,(
% 10.92/1.97 ~sP35_prd|sP39_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2300,f2299])).
% 10.92/1.97 fof(f2312,plain,(
% 10.92/1.97 ~sP38_prd|sP40_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f628,f627])).
% 10.92/1.97 fof(f2314,plain,(
% 10.92/1.97 ~sP39_prd|sP41_prd|h3(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f636])).
% 10.92/1.97 fof(f2315,plain,(
% 10.92/1.97 ~sP39_prd|sP41_prd|~h3(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f637])).
% 10.92/1.97 fof(f2316,plain,(
% 10.92/1.97 ~sP39_prd|sP41_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2315,f2314])).
% 10.92/1.97 fof(f2327,plain,(
% 10.92/1.97 ~sP44_prd|sP46_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f681,f680])).
% 10.92/1.97 fof(f2328,plain,(
% 10.92/1.97 ~sP45_prd|sP47_prd|~h4(e12)=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f689])).
% 10.92/1.97 fof(f2329,plain,(
% 10.92/1.97 ~sP45_prd|sP47_prd|h4(e12)=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f690])).
% 10.92/1.97 fof(f2330,plain,(
% 10.92/1.97 ~sP45_prd|sP47_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2329,f2328])).
% 10.92/1.97 fof(f2341,plain,(
% 10.92/1.97 ~sP48_prd|sP50_prd|e12=e11),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f717])).
% 10.92/1.97 fof(f2342,plain,(
% 10.92/1.97 ~sP48_prd|sP50_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2341,f215])).
% 10.92/1.97 fof(f2345,plain,(
% 10.92/1.97 ~sP49_prd|sP51_prd|e22=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f726])).
% 10.92/1.97 fof(f2346,plain,(
% 10.92/1.97 ~sP49_prd|sP51_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2345,f221])).
% 10.92/1.97 fof(f2352,plain,(
% 10.92/1.97 ~sP52_prd|sP54_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f753,f752])).
% 10.92/1.97 fof(f2353,plain,(
% 10.92/1.97 ~sP53_prd|sP55_prd|~h4(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f761])).
% 10.92/1.97 fof(f2354,plain,(
% 10.92/1.97 ~sP53_prd|sP55_prd|h4(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f762])).
% 10.92/1.97 fof(f2355,plain,(
% 10.92/1.97 ~sP53_prd|sP55_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2354,f2353])).
% 10.92/1.97 fof(f2356,plain,(
% 10.92/1.97 ~sP55_prd|sP57_prd|~h4(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f779])).
% 10.92/1.97 fof(f2360,plain,(
% 10.92/1.97 ~sP56_prd|sP58_prd|e12=e10),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f789])).
% 10.92/1.97 fof(f2361,plain,(
% 10.92/1.97 ~sP56_prd|sP58_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2360,f213])).
% 10.92/1.97 fof(f2364,plain,(
% 10.92/1.97 ~sP57_prd|sP59_prd|e22=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f798])).
% 10.92/1.97 fof(f2365,plain,(
% 10.92/1.97 ~sP57_prd|sP59_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2364,f219])).
% 10.92/1.97 fof(f2368,plain,(
% 10.92/1.97 ~sP58_prd|sP60_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f808,f807])).
% 10.92/1.97 fof(f2370,plain,(
% 10.92/1.97 ~sP59_prd|sP61_prd|h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f816])).
% 10.92/1.97 fof(f2371,plain,(
% 10.92/1.97 ~sP59_prd|sP61_prd|~h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f817])).
% 10.92/1.97 fof(f2372,plain,(
% 10.92/1.97 ~sP59_prd|sP61_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2371,f2370])).
% 10.92/1.97 fof(f2373,plain,(
% 10.92/1.97 ~sP60_prd|sP62_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f826,f825])).
% 10.92/1.97 fof(f2375,plain,(
% 10.92/1.97 ~sP61_prd|sP63_prd|h4(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f834])).
% 10.92/1.97 fof(f2376,plain,(
% 10.92/1.97 ~sP61_prd|sP63_prd|~h4(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f835])).
% 10.92/1.97 fof(f2377,plain,(
% 10.92/1.97 ~sP61_prd|sP63_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2376,f2375])).
% 10.92/1.97 fof(f2378,plain,(
% 10.92/1.97 ~sP62_prd|sP64_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f843,f842])).
% 10.92/1.97 fof(f2379,plain,(
% 10.92/1.97 ~sP63_prd|sP65_prd|~h3(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f851])).
% 10.92/1.97 fof(f2380,plain,(
% 10.92/1.97 ~sP63_prd|sP65_prd|h3(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f852])).
% 10.92/1.97 fof(f2381,plain,(
% 10.92/1.97 ~sP63_prd|sP65_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2380,f2379])).
% 10.92/1.97 fof(f2382,plain,(
% 10.92/1.97 ~sP64_prd|sP66_prd|e12=e13),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f861])).
% 10.92/1.97 fof(f2383,plain,(
% 10.92/1.97 ~sP64_prd|sP66_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2382,f217])).
% 10.92/1.97 fof(f2386,plain,(
% 10.92/1.97 ~sP65_prd|sP67_prd|e22=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f870])).
% 10.92/1.97 fof(f2387,plain,(
% 10.92/1.97 ~sP65_prd|sP67_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2386,f223])).
% 10.92/1.97 fof(f2391,plain,(
% 10.92/1.97 ~sP67_prd|sP69_prd|h1(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f888])).
% 10.92/1.97 fof(f2394,plain,(
% 10.92/1.97 ~sP68_prd|sP70_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f896,f895])).
% 10.92/1.97 fof(f2395,plain,(
% 10.92/1.97 ~sP69_prd|sP71_prd|h3(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f904])).
% 10.92/1.97 fof(f2396,plain,(
% 10.92/1.97 ~sP69_prd|sP71_prd|~h3(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f905])).
% 10.92/1.97 fof(f2397,plain,(
% 10.92/1.97 ~sP69_prd|sP71_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2396,f2395])).
% 10.92/1.97 fof(f2399,plain,(
% 10.92/1.97 ~sP70_prd|sP72_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f914,f913])).
% 10.92/1.97 fof(f2400,plain,(
% 10.92/1.97 ~sP71_prd|sP73_prd|h3(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f922])).
% 10.92/1.97 fof(f2401,plain,(
% 10.92/1.97 ~sP71_prd|sP73_prd|~h3(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f923])).
% 10.92/1.97 fof(f2402,plain,(
% 10.92/1.97 ~sP71_prd|sP73_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2401,f2400])).
% 10.92/1.97 fof(f2405,plain,(
% 10.92/1.97 ~sP72_prd|sP74_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f932,f931])).
% 10.92/1.97 fof(f2406,plain,(
% 10.92/1.97 ~sP73_prd|sP75_prd|h3(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f940])).
% 10.92/1.97 fof(f2407,plain,(
% 10.92/1.97 ~sP73_prd|sP75_prd|~h3(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f941])).
% 10.92/1.97 fof(f2408,plain,(
% 10.92/1.97 ~sP73_prd|sP75_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2407,f2406])).
% 10.92/1.97 fof(f2409,plain,(
% 10.92/1.97 ~sP74_prd|sP76_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f950,f949])).
% 10.92/1.97 fof(f2410,plain,(
% 10.92/1.97 ~sP75_prd|sP77_prd|h3(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f958])).
% 10.92/1.97 fof(f2411,plain,(
% 10.92/1.97 ~sP75_prd|sP77_prd|~h3(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f959])).
% 10.92/1.97 fof(f2412,plain,(
% 10.92/1.97 ~sP75_prd|sP77_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2411,f2410])).
% 10.92/1.97 fof(f2414,plain,(
% 10.92/1.97 ~sP76_prd|sP78_prd|e13=e12),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1707,f967])).
% 10.92/1.97 fof(f2415,plain,(
% 10.92/1.97 ~sP76_prd|sP78_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2414,f217])).
% 10.92/1.97 fof(f2417,plain,(
% 10.92/1.97 ~sP77_prd|sP79_prd|e23=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1735,f976])).
% 10.92/1.97 fof(f2418,plain,(
% 10.92/1.97 ~sP77_prd|sP79_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2417,f223])).
% 10.92/1.97 fof(f2424,plain,(
% 10.92/1.97 ~sP78_prd|sP80_prd|e13=e12),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1707,f985])).
% 10.92/1.97 fof(f2425,plain,(
% 10.92/1.97 ~sP78_prd|sP80_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2424,f217])).
% 10.92/1.97 fof(f2427,plain,(
% 10.92/1.97 ~sP79_prd|sP81_prd|e23=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1735,f994])).
% 10.92/1.97 fof(f2428,plain,(
% 10.92/1.97 ~sP79_prd|sP81_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2427,f223])).
% 10.92/1.97 fof(f2432,plain,(
% 10.92/1.97 ~sP80_prd|sP82_prd|e13=e12),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1707,f1003])).
% 10.92/1.97 fof(f2433,plain,(
% 10.92/1.97 ~sP80_prd|sP82_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2432,f217])).
% 10.92/1.97 fof(f2436,plain,(
% 10.92/1.97 ~sP81_prd|sP83_prd|e23=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1735,f1012])).
% 10.92/1.97 fof(f2437,plain,(
% 10.92/1.97 ~sP81_prd|sP83_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2436,f223])).
% 10.92/1.97 fof(f2441,plain,(
% 10.92/1.97 ~sP82_prd|sP84_prd|e13=e12),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1707,f1021])).
% 10.92/1.97 fof(f2442,plain,(
% 10.92/1.97 ~sP82_prd|sP84_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2441,f217])).
% 10.92/1.97 fof(f2444,plain,(
% 10.92/1.97 ~sP83_prd|sP85_prd|e23=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1735,f1030])).
% 10.92/1.97 fof(f2445,plain,(
% 10.92/1.97 ~sP83_prd|sP85_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2444,f223])).
% 10.92/1.97 fof(f2455,plain,(
% 10.92/1.97 ~sP86_prd|sP88_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1059,f1058])).
% 10.92/1.97 fof(f2456,plain,(
% 10.92/1.97 ~sP87_prd|sP89_prd|~h3(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f1067])).
% 10.92/1.97 fof(f2457,plain,(
% 10.92/1.97 ~sP87_prd|sP89_prd|h3(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f1068])).
% 10.92/1.97 fof(f2458,plain,(
% 10.92/1.97 ~sP87_prd|sP89_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2457,f2456])).
% 10.92/1.97 fof(f2459,plain,(
% 10.92/1.97 ~sP88_prd|sP90_prd|e12=e10),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1077])).
% 10.92/1.97 fof(f2460,plain,(
% 10.92/1.97 ~sP88_prd|sP90_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2459,f213])).
% 10.92/1.97 fof(f2463,plain,(
% 10.92/1.97 ~sP89_prd|sP91_prd|e22=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1086])).
% 10.92/1.97 fof(f2464,plain,(
% 10.92/1.97 ~sP89_prd|sP91_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2463,f219])).
% 10.92/1.97 fof(f2467,plain,(
% 10.92/1.97 ~sP90_prd|sP92_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1096,f1095])).
% 10.92/1.97 fof(f2469,plain,(
% 10.92/1.97 ~sP91_prd|sP93_prd|h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1104])).
% 10.92/1.97 fof(f2470,plain,(
% 10.92/1.97 ~sP91_prd|sP93_prd|~h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1105])).
% 10.92/1.97 fof(f2471,plain,(
% 10.92/1.97 ~sP91_prd|sP93_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2470,f2469])).
% 10.92/1.97 fof(f2473,plain,(
% 10.92/1.97 ~sP92_prd|sP94_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1114,f1113])).
% 10.92/1.97 fof(f2475,plain,(
% 10.92/1.97 ~sP93_prd|sP95_prd|h4(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f1122])).
% 10.92/1.97 fof(f2476,plain,(
% 10.92/1.97 ~sP93_prd|sP95_prd|~h4(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f1123])).
% 10.92/1.97 fof(f2477,plain,(
% 10.92/1.97 ~sP93_prd|sP95_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2476,f2475])).
% 10.92/1.97 fof(f2482,plain,(
% 10.92/1.97 ~sP95_prd|sP97_prd|h3(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f1140])).
% 10.92/1.97 fof(f2487,plain,(
% 10.92/1.97 ~sP96_prd|sP98_prd|e12=e13),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1149])).
% 10.92/1.97 fof(f2488,plain,(
% 10.92/1.97 ~sP96_prd|sP98_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2487,f217])).
% 10.92/1.97 fof(f2490,plain,(
% 10.92/1.97 ~sP97_prd|sP99_prd|e22=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1158])).
% 10.92/1.97 fof(f2491,plain,(
% 10.92/1.97 ~sP97_prd|sP99_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2490,f223])).
% 10.92/1.97 fof(f2496,plain,(
% 10.92/1.97 ~sP99_prd|sP101_prd|h1(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1176])).
% 10.92/1.97 fof(f2500,plain,(
% 10.92/1.97 ~sP100_prd|sP102_prd|~e12=e12),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1184])).
% 10.92/1.97 fof(f2501,plain,(
% 10.92/1.97 ~sP100_prd|sP102_prd),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2500])).
% 10.92/1.97 fof(f2502,plain,(
% 10.92/1.97 ~sP101_prd|sP103_prd|~e22=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1193])).
% 10.92/1.97 fof(f2503,plain,(
% 10.92/1.97 ~sP101_prd|sP103_prd),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2502])).
% 10.92/1.97 fof(f2505,plain,(
% 10.92/1.97 ~sP102_prd|sP104_prd|~e12=e12),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1202])).
% 10.92/1.97 fof(f2506,plain,(
% 10.92/1.97 ~sP102_prd|sP104_prd),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2505])).
% 10.92/1.97 fof(f2507,plain,(
% 10.92/1.97 ~sP103_prd|sP105_prd|~e22=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1211])).
% 10.92/1.97 fof(f2508,plain,(
% 10.92/1.97 ~sP103_prd|sP105_prd),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2507])).
% 10.92/1.97 fof(f2511,plain,(
% 10.92/1.97 ~sP104_prd|sP106_prd|~e12=e12),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1220])).
% 10.92/1.97 fof(f2512,plain,(
% 10.92/1.97 ~sP104_prd|sP106_prd),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2511])).
% 10.92/1.97 fof(f2513,plain,(
% 10.92/1.97 ~sP105_prd|sP107_prd|~e22=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1229])).
% 10.92/1.97 fof(f2514,plain,(
% 10.92/1.97 ~sP105_prd|sP107_prd),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2513])).
% 10.92/1.97 fof(f2515,plain,(
% 10.92/1.97 ~sP106_prd|sP108_prd|~e12=e12),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1238])).
% 10.92/1.97 fof(f2516,plain,(
% 10.92/1.97 ~sP106_prd|sP108_prd),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2515])).
% 10.92/1.97 fof(f2517,plain,(
% 10.92/1.97 ~sP107_prd|sP109_prd|~e22=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1247])).
% 10.92/1.97 fof(f2518,plain,(
% 10.92/1.97 ~sP107_prd|sP109_prd),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2517])).
% 10.92/1.97 fof(f2520,plain,(
% 10.92/1.97 ~sP108_prd|sP110_prd|e12=e11),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1255])).
% 10.92/1.97 fof(f2521,plain,(
% 10.92/1.97 ~sP108_prd|sP110_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2520,f215])).
% 10.92/1.97 fof(f2523,plain,(
% 10.92/1.97 ~sP109_prd|sP111_prd|e22=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1264])).
% 10.92/1.97 fof(f2524,plain,(
% 10.92/1.97 ~sP109_prd|sP111_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2523,f221])).
% 10.92/1.97 fof(f2527,plain,(
% 10.92/1.97 ~sP110_prd|sP112_prd|e12=e11),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1273])).
% 10.92/1.97 fof(f2528,plain,(
% 10.92/1.97 ~sP110_prd|sP112_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2527,f215])).
% 10.92/1.97 fof(f2531,plain,(
% 10.92/1.97 ~sP111_prd|sP113_prd|e22=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1282])).
% 10.92/1.97 fof(f2532,plain,(
% 10.92/1.97 ~sP111_prd|sP113_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2531,f221])).
% 10.92/1.97 fof(f2536,plain,(
% 10.92/1.97 ~sP112_prd|sP114_prd|e12=e11),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1291])).
% 10.92/1.97 fof(f2537,plain,(
% 10.92/1.97 ~sP112_prd|sP114_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2536,f215])).
% 10.92/1.97 fof(f2541,plain,(
% 10.92/1.97 ~sP113_prd|sP115_prd|e22=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1300])).
% 10.92/1.97 fof(f2542,plain,(
% 10.92/1.97 ~sP113_prd|sP115_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2541,f221])).
% 10.92/1.97 fof(f2546,plain,(
% 10.92/1.97 ~sP114_prd|sP116_prd|e12=e11),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1309])).
% 10.92/1.97 fof(f2547,plain,(
% 10.92/1.97 ~sP114_prd|sP116_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2546,f215])).
% 10.92/1.97 fof(f2549,plain,(
% 10.92/1.97 ~sP115_prd|sP117_prd|e22=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1318])).
% 10.92/1.97 fof(f2550,plain,(
% 10.92/1.97 ~sP115_prd|sP117_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2549,f221])).
% 10.92/1.97 fof(f2570,plain,(
% 10.92/1.97 ~sP120_prd|sP122_prd|e12=e10),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1365])).
% 10.92/1.97 fof(f2571,plain,(
% 10.92/1.97 ~sP120_prd|sP122_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2570,f213])).
% 10.92/1.97 fof(f2573,plain,(
% 10.92/1.97 ~sP121_prd|sP123_prd|e22=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1374])).
% 10.92/1.97 fof(f2574,plain,(
% 10.92/1.97 ~sP121_prd|sP123_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2573,f219])).
% 10.92/1.97 fof(f2576,plain,(
% 10.92/1.97 ~sP122_prd|sP124_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1384,f1383])).
% 10.92/1.97 fof(f2578,plain,(
% 10.92/1.97 ~sP123_prd|sP125_prd|h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1392])).
% 10.92/1.97 fof(f2579,plain,(
% 10.92/1.97 ~sP123_prd|sP125_prd|~h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1393])).
% 10.92/1.97 fof(f2580,plain,(
% 10.92/1.97 ~sP123_prd|sP125_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2579,f2578])).
% 10.92/1.97 fof(f2581,plain,(
% 10.92/1.97 ~sP124_prd|sP126_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1402,f1401])).
% 10.92/1.97 fof(f2583,plain,(
% 10.92/1.97 ~sP125_prd|sP127_prd|h4(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f1410])).
% 10.92/1.97 fof(f2584,plain,(
% 10.92/1.97 ~sP125_prd|sP127_prd|~h4(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f1411])).
% 10.92/1.97 fof(f2585,plain,(
% 10.92/1.97 ~sP125_prd|sP127_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2584,f2583])).
% 10.92/1.97 fof(f2587,plain,(
% 10.92/1.97 ~sP127_prd|sP129_prd|h3(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f1428])).
% 10.92/1.97 fof(f2590,plain,(
% 10.92/1.97 ~sP128_prd|sP130_prd|e12=e13),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1437])).
% 10.92/1.97 fof(f2591,plain,(
% 10.92/1.97 ~sP128_prd|sP130_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2590,f217])).
% 10.92/1.97 fof(f2594,plain,(
% 10.92/1.97 ~sP129_prd|sP131_prd|e22=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1446])).
% 10.92/1.97 fof(f2595,plain,(
% 10.92/1.97 ~sP129_prd|sP131_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2594,f223])).
% 10.92/1.97 fof(f2598,plain,(
% 10.92/1.97 ~sP130_prd|sP132_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1455,f1454])).
% 10.92/1.97 fof(f2599,plain,(
% 10.92/1.97 ~sP131_prd|sP133_prd|~h1(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1463])).
% 10.92/1.97 fof(f2600,plain,(
% 10.92/1.97 ~sP131_prd|sP133_prd|h1(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1464])).
% 10.92/1.97 fof(f2601,plain,(
% 10.92/1.97 ~sP131_prd|sP133_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2600,f2599])).
% 10.92/1.97 fof(f2603,plain,(
% 10.92/1.97 ~sP133_prd|sP135_prd|h4(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f1482])).
% 10.92/1.97 fof(f2606,plain,(
% 10.92/1.97 ~sP134_prd|sP136_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1492,f1491])).
% 10.92/1.97 fof(f2608,plain,(
% 10.92/1.97 ~sP135_prd|sP137_prd|h3(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f1500])).
% 10.92/1.97 fof(f2609,plain,(
% 10.92/1.97 ~sP135_prd|sP137_prd|~h3(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f1501])).
% 10.92/1.97 fof(f2610,plain,(
% 10.92/1.97 ~sP135_prd|sP137_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2609,f2608])).
% 10.92/1.97 fof(f2617,plain,(
% 10.92/1.97 ~sP138_prd|sP140_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1527,f1526])).
% 10.92/1.97 fof(f2618,plain,(
% 10.92/1.97 ~sP139_prd|sP141_prd|~h1(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1535])).
% 10.92/1.97 fof(f2619,plain,(
% 10.92/1.97 ~sP139_prd|sP141_prd|h1(e12)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1536])).
% 10.92/1.97 fof(f2620,plain,(
% 10.92/1.97 ~sP139_prd|sP141_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2619,f2618])).
% 10.92/1.97 fof(f2622,plain,(
% 10.92/1.97 ~sP141_prd|sP143_prd|h4(e12)=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f290,f1554])).
% 10.92/1.97 fof(f2628,plain,(
% 10.92/1.97 ~sP143_prd|sP145_prd|~h1(e12)=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1571])).
% 10.92/1.97 fof(f2635,plain,(
% 10.92/1.97 ~sP144_prd|sP146_prd|e12=e11),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1581])).
% 10.92/1.97 fof(f2636,plain,(
% 10.92/1.97 ~sP144_prd|sP146_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2635,f215])).
% 10.92/1.97 fof(f2639,plain,(
% 10.92/1.97 ~sP145_prd|sP147_prd|e22=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1590])).
% 10.92/1.97 fof(f2640,plain,(
% 10.92/1.97 ~sP145_prd|sP147_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2639,f221])).
% 10.92/1.97 fof(f2642,plain,(
% 10.92/1.97 ~sP146_prd|sP148_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1599,f1598])).
% 10.92/1.97 fof(f2643,plain,(
% 10.92/1.97 ~sP147_prd|sP149_prd|~h1(e12)=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1607])).
% 10.92/1.97 fof(f2644,plain,(
% 10.92/1.97 ~sP147_prd|sP149_prd|h1(e12)=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1608])).
% 10.92/1.97 fof(f2645,plain,(
% 10.92/1.97 ~sP147_prd|sP149_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2644,f2643])).
% 10.92/1.97 fof(f2646,plain,(
% 10.92/1.97 ~sP148_prd|sP150_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1616,f1615])).
% 10.92/1.97 fof(f2647,plain,(
% 10.92/1.97 ~sP149_prd|sP151_prd|h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1624])).
% 10.92/1.97 fof(f2648,plain,(
% 10.92/1.97 ~sP149_prd|sP151_prd|~h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1625])).
% 10.92/1.97 fof(f2649,plain,(
% 10.92/1.97 ~sP149_prd|sP151_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2648,f2647])).
% 10.92/1.97 fof(f2651,plain,(
% 10.92/1.97 ~sP150_prd|sP152_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1634,f1633])).
% 10.92/1.97 fof(f2652,plain,(
% 10.92/1.97 ~sP151_prd|sP153_prd|h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1642])).
% 10.92/1.97 fof(f2653,plain,(
% 10.92/1.97 ~sP151_prd|sP153_prd|~h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1643])).
% 10.92/1.97 fof(f2654,plain,(
% 10.92/1.97 ~sP151_prd|sP153_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2653,f2652])).
% 10.92/1.97 fof(f2656,plain,(
% 10.92/1.97 ~sP152_prd|sP154_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1652,f1651])).
% 10.92/1.97 fof(f2658,plain,(
% 10.92/1.97 ~sP153_prd|sP155_prd|h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1660])).
% 10.92/1.97 fof(f2659,plain,(
% 10.92/1.97 ~sP153_prd|sP155_prd|~h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1661])).
% 10.92/1.97 fof(f2660,plain,(
% 10.92/1.97 ~sP153_prd|sP155_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2659,f2658])).
% 10.92/1.97 fof(f2662,plain,(
% 10.92/1.97 ~sP152_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2656,f2663])).
% 10.92/1.97 fof(f2663,plain,(
% 10.92/1.97 ~sP154_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1668,f1667])).
% 10.92/1.97 fof(f2664,plain,(
% 10.92/1.97 ~sP155_prd|h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1673])).
% 10.92/1.97 fof(f2665,plain,(
% 10.92/1.97 ~sP155_prd|~h1(e12)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1674])).
% 10.92/1.97 fof(f2666,plain,(
% 10.92/1.97 ~sP153_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2660,f2667])).
% 10.92/1.97 fof(f2667,plain,(
% 10.92/1.97 ~sP155_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2665,f2664])).
% 10.92/1.97 fof(f2670,plain,(
% 10.92/1.97 e10=op1(op1(e12,e11),op1(e12,e11))),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f271,f1680])).
% 10.92/1.97 fof(f2671,plain,(
% 10.92/1.97 e10=op1(e13,op1(e12,e11))),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1707,f2670])).
% 10.92/1.97 fof(f2673,plain,(
% 10.92/1.97 ~sP140_prd|sP142_prd|e10=e11),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f1545])).
% 10.92/1.97 fof(f2675,plain,(
% 10.92/1.97 ~sP132_prd|sP134_prd|e10=e12),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f1473])).
% 10.92/1.97 fof(f2681,plain,(
% 10.92/1.97 ~sP54_prd|sP56_prd|~e10=e10),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f770])).
% 10.92/1.97 fof(f2694,plain,(
% 10.92/1.97 ~sP1_prd|sP17_prd|~op1(e13,e12)=e13|e10=e12),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f344])).
% 10.92/1.97 fof(f2697,plain,(
% 10.92/1.97 sP1_prd|op1(e13,e10)=e13),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f250])).
% 10.92/1.97 fof(f2698,plain,(
% 10.92/1.97 ~op1(e13,e12)=e10),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f163])).
% 10.92/1.97 fof(f2699,plain,(
% 10.92/1.97 ~op1(e13,e11)=e10),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f162])).
% 10.92/1.97 fof(f2700,plain,(
% 10.92/1.97 ~op1(e13,e10)=e10),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f160])).
% 10.92/1.97 fof(f2701,plain,(
% 10.92/1.97 ~op1(e12,e13)=e10),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f139])).
% 10.92/1.97 fof(f2702,plain,(
% 10.92/1.97 ~op1(e11,e13)=e10),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f138])).
% 10.92/1.97 fof(f2703,plain,(
% 10.92/1.97 ~op1(e10,e13)=e10),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f136])).
% 10.92/1.97 fof(f2705,plain,(
% 10.92/1.97 op1(e13,e10)=e13|op1(e13,e11)=e13|op1(e13,e12)=e13|e10=e13),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f66])).
% 10.92/1.97 fof(f2708,plain,(
% 10.92/1.97 op1(e10,e13)=e11|op1(e11,e13)=e11|op1(e12,e13)=e11|e10=e11),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2713,f63])).
% 10.92/1.97 fof(f2713,plain,(
% 10.92/1.97 e10=op1(e13,e13)),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1707,f2671])).
% 10.92/1.97 fof(f2715,plain,(
% 10.92/1.97 op1(e11,e13)=e10|op1(e11,e13)=e11|op1(e11,e13)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f27,f1682])).
% 10.92/1.97 fof(f2719,plain,(
% 10.92/1.97 op1(e11,e10)=e10|op1(e11,e10)=e11|op1(e11,e10)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f24,f1684])).
% 10.92/1.97 fof(f2720,plain,(
% 10.92/1.97 op1(e13,e11)=e10|op1(e13,e11)=e11|op1(e13,e11)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f33,f1685])).
% 10.92/1.97 fof(f2728,plain,(
% 10.92/1.97 op1(e10,e11)=e10|e12=e10|e13=e10|op1(e13,e11)=e10),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1707,f1694])).
% 10.92/1.97 fof(f2729,plain,(
% 10.92/1.97 op1(e10,e11)=e10|e13=e10|op1(e13,e11)=e10),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2728,f213])).
% 10.92/1.97 fof(f2730,plain,(
% 10.92/1.97 op1(e11,e10)=e10|op1(e11,e12)=e10|op1(e11,e13)=e10),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1695,f213])).
% 10.92/1.97 fof(f2733,plain,(
% 10.92/1.97 op1(e12,e13)=e10|op1(e12,e13)=e11|op1(e12,e13)=e12),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f31,f1697])).
% 10.92/1.97 fof(f2734,plain,(
% 10.92/1.97 ~sP126_prd|sP128_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f1419,f1698])).
% 10.92/1.97 fof(f2735,plain,(
% 10.92/1.97 ~sP94_prd|sP96_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f1131,f1698])).
% 10.92/1.97 fof(f2738,plain,(
% 10.92/1.97 sP1_prd|~op1(e12,e13)=e12),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f253,f1698])).
% 10.92/1.97 fof(f2741,plain,(
% 10.92/1.97 op1(e10,e10)=e13|op1(e11,e10)=e13|op1(e13,e10)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f43,f1699])).
% 10.92/1.97 fof(f2743,plain,(
% 10.92/1.97 ~sP50_prd|sP52_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f733,f1700])).
% 10.92/1.97 fof(f2744,plain,(
% 10.92/1.97 ~sP46_prd|sP48_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f697,f1700])).
% 10.92/1.97 fof(f2745,plain,(
% 10.92/1.97 op1(e10,e10)=e13|op1(e10,e12)=e13|op1(e10,e13)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f42,f1701])).
% 10.92/1.97 fof(f2746,plain,(
% 10.92/1.97 op1(e12,e10)=e12|op1(e12,e12)=e12|op1(e12,e13)=e12),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1703,f217])).
% 10.92/1.97 fof(f2747,plain,(
% 10.92/1.97 op1(e12,e10)=e11|op1(e12,e12)=e11|op1(e12,e13)=e11),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1704,f216])).
% 10.92/1.97 fof(f2749,plain,(
% 10.92/1.97 e20=op2(op2(e22,e21),op2(e22,e21))),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f274,f1708])).
% 10.92/1.97 fof(f2750,plain,(
% 10.92/1.97 e20=op2(e23,op2(e22,e21))),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1735,f2749])).
% 10.92/1.97 fof(f2751,plain,(
% 10.92/1.97 h4(e12)=e20),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2752,f290])).
% 10.92/1.97 fof(f2752,plain,(
% 10.92/1.97 e20=op2(e23,e23)),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1735,f2750])).
% 10.92/1.97 fof(f2754,plain,(
% 10.92/1.97 op2(e21,e23)=e20|op2(e21,e23)=e21|op2(e21,e23)=e23),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f75,f1710])).
% 10.92/1.97 fof(f2757,plain,(
% 10.92/1.97 op2(e23,e21)=e20|op2(e23,e21)=e21|op2(e23,e21)=e23),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f81,f1713])).
% 10.92/1.97 fof(f2764,plain,(
% 10.92/1.97 op2(e20,e21)=e20|e22=e20|e23=e20|op2(e23,e21)=e20),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1735,f1722])).
% 10.92/1.97 fof(f2765,plain,(
% 10.92/1.97 op2(e20,e21)=e20|e23=e20|op2(e23,e21)=e20),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2764,f219])).
% 10.92/1.97 fof(f2766,plain,(
% 10.92/1.97 op2(e21,e20)=e20|op2(e21,e22)=e20|op2(e21,e23)=e20),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1723,f219])).
% 10.92/1.97 fof(f2769,plain,(
% 10.92/1.97 op2(e22,e23)=e20|op2(e22,e23)=e21|op2(e22,e23)=e22),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f79,f1725])).
% 10.92/1.97 fof(f2770,plain,(
% 10.92/1.97 ~sP127_prd|sP129_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2587,f2774])).
% 10.92/1.97 fof(f2771,plain,(
% 10.92/1.97 ~sP95_prd|sP97_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2482,f2774])).
% 10.92/1.97 fof(f2774,plain,(
% 10.92/1.97 ~e23=h3(e12)),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f1726])).
% 10.92/1.97 fof(f2777,plain,(
% 10.92/1.97 ~sP51_prd|sP53_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f742,f1728])).
% 10.92/1.97 fof(f2778,plain,(
% 10.92/1.97 ~sP47_prd|sP49_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f706,f1728])).
% 10.92/1.97 fof(f2779,plain,(
% 10.92/1.97 op2(e22,e20)=e22|e23=e22|h3(e12)=e22|op2(e22,e23)=e22),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f286,f1731])).
% 10.92/1.97 fof(f2780,plain,(
% 10.92/1.97 op2(e22,e20)=e22|h3(e12)=e22|op2(e22,e23)=e22),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2779,f223])).
% 10.92/1.97 fof(f2788,plain,(
% 10.92/1.97 h1(e12)=e23|op2(e21,e20)=e23|op2(e23,e20)=e23),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1744,f1727])).
% 10.92/1.97 fof(f2789,plain,(
% 10.92/1.97 h1(e12)=e23|op2(e20,e22)=e23|op2(e20,e23)=e23),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1745,f1729])).
% 10.92/1.97 fof(f2792,plain,(
% 10.92/1.97 h1(e12)=e20|op2(e20,e20)=e21|op2(e20,e20)=e22|h1(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f1752])).
% 10.92/1.97 fof(f2793,plain,(
% 10.92/1.97 h1(e12)=e20|h1(e12)=e21|op2(e20,e20)=e22|h1(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f2792])).
% 10.92/1.97 fof(f2794,plain,(
% 10.92/1.97 h1(e12)=e20|h1(e12)=e21|h1(e12)=e22|h1(e12)=e23),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f2793])).
% 10.92/1.97 fof(f2798,plain,(
% 10.92/1.97 sP3_prd|~op2(e22,e23)=e22),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1759,f2774])).
% 10.92/1.97 fof(f2808,plain,(
% 10.92/1.97 op2(e23,e20)=e23|op2(e23,e22)=e23|h4(e12)=e23),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1780,f1728])).
% 10.92/1.97 fof(f2809,plain,(
% 10.92/1.97 op2(e20,e23)=e22|op2(e22,e23)=e22|h4(e12)=e22),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1781,f1710])).
% 10.92/1.97 fof(f2810,plain,(
% 10.92/1.97 op2(e23,e20)=e22|op2(e23,e22)=e22|h4(e12)=e22),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f1782,f1713])).
% 10.92/1.97 fof(f2822,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~h2(e10)=h4(e12)|sP8_prd|sP9_prd),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f2713,f2172])).
% 10.92/1.97 fof(f2823,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~e20=h4(e12)|sP8_prd|sP9_prd),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1754,f2822])).
% 10.92/1.97 fof(f2824,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~e20=h4(e12)|sP9_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2823,f2179])).
% 10.92/1.97 fof(f2839,plain,(
% 10.92/1.97 sP38_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2290,f2259])).
% 10.92/1.97 fof(f2842,plain,(
% 10.92/1.97 sP39_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2301,f2269])).
% 10.92/1.97 fof(f2848,plain,(
% 10.92/1.97 ~sP150_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2651,f2662])).
% 10.92/1.97 fof(f2849,plain,(
% 10.92/1.97 ~sP151_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2654,f2666])).
% 10.92/1.97 fof(f2850,plain,(
% 10.92/1.97 ~sP140_prd|sP142_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2673,f212])).
% 10.92/1.97 fof(f2851,plain,(
% 10.92/1.97 ~sP132_prd|sP134_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2675,f213])).
% 10.92/1.97 fof(f2854,plain,(
% 10.92/1.97 ~sP54_prd|sP56_prd),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2681])).
% 10.92/1.97 fof(f2857,plain,(
% 10.92/1.97 ~sP1_prd|sP17_prd|~op1(e13,e12)=e13),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2694,f213])).
% 10.92/1.97 fof(f2859,plain,(
% 10.92/1.97 op1(e13,e12)=e11|op1(e13,e12)=e12|op1(e13,e12)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f34,f2698])).
% 10.92/1.97 fof(f2860,plain,(
% 10.92/1.97 op1(e10,e11)=e10|e13=e10),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2729,f2699])).
% 10.92/1.97 fof(f2861,plain,(
% 10.92/1.97 op1(e10,e10)=e10|op1(e11,e10)=e10|op1(e12,e10)=e10),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f37,f2700])).
% 10.92/1.97 fof(f2862,plain,(
% 10.92/1.97 op1(e13,e10)=e11|op1(e13,e10)=e12|op1(e13,e10)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f32,f2700])).
% 10.92/1.97 fof(f2864,plain,(
% 10.92/1.97 op1(e11,e10)=e10|op1(e11,e12)=e10),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2730,f2702])).
% 10.92/1.97 fof(f2868,plain,(
% 10.92/1.97 op1(e10,e13)=e11|op1(e10,e13)=e12|op1(e10,e13)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f23,f2703])).
% 10.92/1.97 fof(f2870,plain,(
% 10.92/1.97 op1(e13,e10)=e13|op1(e13,e12)=e13|e10=e13),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2705,f1700])).
% 10.92/1.97 fof(f2873,plain,(
% 10.92/1.97 op1(e10,e13)=e11|op1(e11,e13)=e11|op1(e12,e13)=e11),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2708,f212])).
% 10.92/1.97 fof(f2875,plain,(
% 10.92/1.97 op1(e11,e13)=e11|op1(e11,e13)=e13),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2715,f2702])).
% 10.92/1.97 fof(f2876,plain,(
% 10.92/1.97 op1(e13,e11)=e11|op1(e13,e11)=e13),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2720,f2699])).
% 10.92/1.97 fof(f2878,plain,(
% 10.92/1.97 op1(e12,e13)=e11|op1(e12,e13)=e12),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2733,f2701])).
% 10.92/1.97 fof(f2884,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e11))=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~e20=e20|sP9_prd),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f2824])).
% 10.92/1.97 fof(f2889,plain,(
% 10.92/1.97 op2(e23,e20)=e22|op2(e23,e22)=e22|e20=e22),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f2810])).
% 10.92/1.97 fof(f2890,plain,(
% 10.92/1.97 op2(e20,e23)=e22|op2(e22,e23)=e22|e20=e22),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f2809])).
% 10.92/1.97 fof(f2891,plain,(
% 10.92/1.97 op2(e23,e20)=e23|op2(e23,e22)=e23|e20=e23),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f2808])).
% 10.92/1.97 fof(f2894,plain,(
% 10.92/1.97 ~op2(e21,e23)=e20),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f1777])).
% 10.92/1.97 fof(f2895,plain,(
% 10.92/1.97 ~op2(e22,e23)=e20),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f1776])).
% 10.92/1.97 fof(f2896,plain,(
% 10.92/1.97 ~op2(e23,e20)=e20),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f1775])).
% 10.92/1.97 fof(f2897,plain,(
% 10.92/1.97 ~op2(e23,e21)=e20),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f1774])).
% 10.92/1.97 fof(f2899,plain,(
% 10.92/1.97 sP3_prd|op2(e23,e20)=e23),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f1772])).
% 10.92/1.97 fof(f2900,plain,(
% 10.92/1.97 ~sP141_prd|sP143_prd|e20=e21),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f2622])).
% 10.92/1.97 fof(f2902,plain,(
% 10.92/1.97 ~sP133_prd|sP135_prd|e20=e22),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f2603])).
% 10.92/1.97 fof(f2908,plain,(
% 10.92/1.97 ~sP55_prd|sP57_prd|~e20=e20),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f2356])).
% 10.92/1.97 fof(f2922,plain,(
% 10.92/1.97 ~sP3_prd|sP21_prd|~op2(e23,e22)=e23|e20=e22),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f2143])).
% 10.92/1.97 fof(f2923,plain,(
% 10.92/1.97 h4(e13)=op2(e20,e23)),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2751,f1788])).
% 10.92/1.97 fof(f2924,plain,(
% 10.92/1.97 op2(e23,e21)=e20|op2(e23,e21)=e21),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2757,f1728])).
% 10.92/1.97 fof(f2927,plain,(
% 10.92/1.97 sP40_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2312,f2839])).
% 10.92/1.97 fof(f2928,plain,(
% 10.92/1.97 sP41_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2316,f2842])).
% 10.92/1.97 fof(f2929,plain,(
% 10.92/1.97 ~sP148_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2646,f2848])).
% 10.92/1.97 fof(f2930,plain,(
% 10.92/1.97 ~sP149_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2649,f2849])).
% 10.92/1.97 fof(f2945,plain,(
% 10.92/1.97 ~sP26_prd|~e10=e10|op1(e10,e10)=e11),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2952,f548])).
% 10.92/1.97 fof(f2946,plain,(
% 10.92/1.97 ~sP25_prd|op1(e10,e10)=e11),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2952,f536])).
% 10.92/1.97 fof(f2948,plain,(
% 10.92/1.97 ~e10=op1(e10,e12)),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2952,f143])).
% 10.92/1.97 fof(f2949,plain,(
% 10.92/1.97 ~op1(e10,e10)=e10),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2952,f140])).
% 10.92/1.97 fof(f2952,plain,(
% 10.92/1.97 op1(e10,e11)=e10),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2860,f214])).
% 10.92/1.97 fof(f2963,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~h2(e10)=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~e20=e20|sP9_prd),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f2952,f2884])).
% 10.92/1.97 fof(f2964,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~e20=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|~e20=e20|sP9_prd),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f1754,f2963])).
% 10.92/1.97 fof(f2965,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~e20=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)|sP9_prd),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2964])).
% 10.92/1.97 fof(f2966,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~e20=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=op2(e20,e23)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2965,f2186])).
% 10.92/1.97 fof(f2969,plain,(
% 10.92/1.97 op2(e23,e20)=e22|op2(e23,e22)=e22),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2889,f219])).
% 10.92/1.97 fof(f2970,plain,(
% 10.92/1.97 op2(e20,e23)=e22|op2(e22,e23)=e22),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2890,f219])).
% 10.92/1.97 fof(f2971,plain,(
% 10.92/1.97 op2(e23,e20)=e23|op2(e23,e22)=e23),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2891,f220])).
% 10.92/1.97 fof(f2977,plain,(
% 10.92/1.97 op2(e21,e23)=e21|op2(e21,e23)=e23),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2754,f2894])).
% 10.92/1.97 fof(f2978,plain,(
% 10.92/1.97 op2(e21,e20)=e20|op2(e21,e22)=e20),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2766,f2894])).
% 10.92/1.97 fof(f2979,plain,(
% 10.92/1.97 op2(e22,e23)=e21|op2(e22,e23)=e22),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2769,f2895])).
% 10.92/1.97 fof(f2981,plain,(
% 10.92/1.97 h1(e12)=e20|op2(e21,e20)=e20|op2(e22,e20)=e20),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f1750,f2896])).
% 10.92/1.97 fof(f2982,plain,(
% 10.92/1.97 op2(e23,e20)=e21|op2(e23,e20)=e22|op2(e23,e20)=e23),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f80,f2896])).
% 10.92/1.97 fof(f2983,plain,(
% 10.92/1.97 op2(e23,e21)=e21),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2924,f2897])).
% 10.92/1.97 fof(f2984,plain,(
% 10.92/1.97 op2(e20,e21)=e20|e23=e20),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2765,f2897])).
% 10.92/1.97 fof(f2987,plain,(
% 10.92/1.97 ~sP141_prd|sP143_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2900,f218])).
% 10.92/1.97 fof(f2988,plain,(
% 10.92/1.97 ~sP133_prd|sP135_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2902,f219])).
% 10.92/1.97 fof(f2991,plain,(
% 10.92/1.97 ~sP55_prd|sP57_prd),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2908])).
% 10.92/1.97 fof(f2998,plain,(
% 10.92/1.97 ~sP3_prd|sP21_prd|~op2(e23,e22)=e23),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2922,f219])).
% 10.92/1.97 fof(f3001,plain,(
% 10.92/1.97 h4(e13)=e22|op2(e22,e23)=e22),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2923,f2970])).
% 10.92/1.97 fof(f3003,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~e20=op2(e20,e21)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2923,f2966])).
% 10.92/1.97 fof(f3009,plain,(
% 10.92/1.97 h1(e12)=e23|op2(e20,e22)=e23|h4(e13)=e23),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2923,f2789])).
% 10.92/1.97 fof(f3010,plain,(
% 10.92/1.97 ~h1(e12)=h4(e13)),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2923,f1738])).
% 10.92/1.97 fof(f3017,plain,(
% 10.92/1.97 sP42_prd|op1(e13,e12)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f643,f2927])).
% 10.92/1.97 fof(f3019,plain,(
% 10.92/1.97 sP43_prd|op2(e23,e22)=e23),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f652,f2928])).
% 10.92/1.97 fof(f3020,plain,(
% 10.92/1.97 ~sP146_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2642,f2929])).
% 10.92/1.97 fof(f3021,plain,(
% 10.92/1.97 ~sP147_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2645,f2930])).
% 10.92/1.97 fof(f3024,plain,(
% 10.92/1.97 ~sP26_prd|op1(e10,e10)=e11),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f2945])).
% 10.92/1.97 fof(f3027,plain,(
% 10.92/1.97 ~sP136_prd|sP138_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f1507,f2948])).
% 10.92/1.97 fof(f3029,plain,(
% 10.92/1.97 op1(e10,e12)=e11|op1(e10,e12)=e12|op1(e10,e12)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f22,f2948])).
% 10.92/1.97 fof(f3030,plain,(
% 10.92/1.97 op1(e11,e10)=e10|op1(e12,e10)=e10),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2861,f2949])).
% 10.92/1.97 fof(f3031,plain,(
% 10.92/1.97 op1(e10,e10)=e11|op1(e10,e10)=e12|op1(e10,e10)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f20,f2949])).
% 10.92/1.97 fof(f3042,plain,(
% 10.92/1.97 ~e21=op2(e23,e22)),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2983,f209])).
% 10.92/1.97 fof(f3043,plain,(
% 10.92/1.97 ~op2(e23,e20)=e21),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f2983,f206])).
% 10.92/1.97 fof(f3047,plain,(
% 10.92/1.97 ~h1(e12)=e20),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f3056,f1740])).
% 10.92/1.97 fof(f3053,plain,(
% 10.92/1.97 ~sP30_prd|~e20=e20|h1(e12)=e21),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f3056,f2283])).
% 10.92/1.97 fof(f3054,plain,(
% 10.92/1.97 ~sP29_prd|op2(e20,e20)=e21),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f3056,f569])).
% 10.92/1.97 fof(f3055,plain,(
% 10.92/1.97 ~e20=op2(e20,e22)),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f3056,f191])).
% 10.92/1.97 fof(f3056,plain,(
% 10.92/1.97 op2(e20,e21)=e20),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f2984,f220])).
% 10.92/1.97 fof(f3057,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~e20=e20|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=op2(e23,e21)|~h2(op1(e13,e12))=op2(e23,e22)),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f3056,f3003])).
% 10.92/1.97 fof(f3058,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~e20=e20|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=e21|~h2(op1(e13,e12))=op2(e23,e22)),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f2983,f3057])).
% 10.92/1.97 fof(f3059,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e11))=e21|~h2(op1(e13,e12))=op2(e23,e22)),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f3058])).
% 10.92/1.97 fof(f3068,plain,(
% 10.92/1.97 sP44_prd|op1(e13,e12)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f661,f3017])).
% 10.92/1.97 fof(f3069,plain,(
% 10.92/1.97 sP45_prd|op2(e23,e22)=e23),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f670,f3019])).
% 10.92/1.97 fof(f3071,plain,(
% 10.92/1.97 ~sP144_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2636,f3020])).
% 10.92/1.97 fof(f3072,plain,(
% 10.92/1.97 ~sP145_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2640,f3021])).
% 10.92/1.97 fof(f3076,plain,(
% 10.92/1.97 op2(e20,e22)=e21|op2(e21,e22)=e21|h3(e12)=e21),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f1767,f3042])).
% 10.92/1.97 fof(f3077,plain,(
% 10.92/1.97 op2(e23,e20)=e22|op2(e23,e20)=e23),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2982,f3043])).
% 10.92/1.97 fof(f3078,plain,(
% 10.92/1.97 h1(e12)=e21|op2(e21,e20)=e21|op2(e22,e20)=e21),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f1748,f3043])).
% 10.92/1.97 fof(f3080,plain,(
% 10.92/1.97 op2(e21,e20)=e20|op2(e22,e20)=e20),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2981,f3047])).
% 10.92/1.97 fof(f3081,plain,(
% 10.92/1.97 h1(e12)=e21|h1(e12)=e22|h1(e12)=e23),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2794,f3047])).
% 10.92/1.97 fof(f3083,plain,(
% 10.92/1.97 ~sP30_prd|h1(e12)=e21),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f3053])).
% 10.92/1.97 fof(f3084,plain,(
% 10.92/1.97 ~sP29_prd|h1(e12)=e21),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f278,f3054])).
% 10.92/1.97 fof(f3086,plain,(
% 10.92/1.97 ~sP137_prd|sP139_prd),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f1516,f3055])).
% 10.92/1.97 fof(f3088,plain,(
% 10.92/1.97 op2(e20,e22)=e21|op2(e20,e22)=e22|op2(e20,e22)=e23),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f70,f3055])).
% 10.92/1.97 fof(f3092,plain,(
% 10.92/1.97 ~sP142_prd|~op1(e10,e10)=e11),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f1562,f3071])).
% 10.92/1.97 fof(f3094,plain,(
% 10.92/1.97 ~sP143_prd|~h1(e12)=e21),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2628,f3072])).
% 10.92/1.97 fof(f3257,plain,(
% 10.92/1.97 op1(e12,e10)=e11|op1(e12,e12)=e11|e12=e11|op1(e12,e10)=e12|op1(e12,e12)=e12),
% 10.92/1.97 inference(paramodulation,[status(thm)],[f2746,f2747])).
% 10.92/1.97 fof(f3264,plain,(
% 10.92/1.97 op1(e12,e10)=e11|op1(e12,e12)=e11|op1(e12,e10)=e12|op1(e12,e12)=e12),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f3257,f215])).
% 10.92/1.97 fof(f3324,plain,(
% 10.92/1.97 h1(e12)=e21|~sP21_prd|sP29_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3083,f505])).
% 10.92/1.97 fof(f3326,plain,(
% 10.92/1.97 h1(e12)=e21|~sP21_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f3324,f3084])).
% 10.92/1.97 fof(f3338,plain,(
% 10.92/1.97 ~h1(e12)=e21|~sP141_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3094,f2987])).
% 10.92/1.97 fof(f3358,plain,(
% 10.92/1.97 h1(e12)=e21|~sP3_prd|op2(e22,e23)=e21),
% 10.92/1.97 inference(resolution,[status(thm)],[f3326,f2141])).
% 10.92/1.97 fof(f3360,plain,(
% 10.92/1.97 ~h1(e12)=e21|~sP139_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3338,f2620])).
% 10.92/1.97 fof(f3362,plain,(
% 10.92/1.97 ~h1(e12)=e21|~sP137_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3360,f3086])).
% 10.92/1.97 fof(f3368,plain,(
% 10.92/1.97 ~h1(e12)=e21|~sP135_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3362,f2610])).
% 10.92/1.97 fof(f3370,plain,(
% 10.92/1.97 ~h1(e12)=e21|~sP133_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3368,f2988])).
% 10.92/1.97 fof(f3372,plain,(
% 10.92/1.97 ~h1(e12)=e21|~sP131_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3370,f2601])).
% 10.92/1.97 fof(f3380,plain,(
% 10.92/1.97 ~h1(e12)=e21|~sP129_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3372,f2595])).
% 10.92/1.97 fof(f3382,plain,(
% 10.92/1.97 ~h1(e12)=e21|~sP127_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3380,f2770])).
% 10.92/1.97 fof(f3399,plain,(
% 10.92/1.97 ~h1(e12)=e21|~sP125_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3382,f2585])).
% 10.92/1.97 fof(f3401,plain,(
% 10.92/1.97 ~h1(e12)=e21|~sP123_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3399,f2580])).
% 10.92/1.97 fof(f3403,plain,(
% 10.92/1.97 ~h1(e12)=e21|~sP121_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3401,f2574])).
% 10.92/1.97 fof(f3413,plain,(
% 10.92/1.97 ~h1(e12)=e21|~sP119_prd|op2(e21,e20)=e21),
% 10.92/1.97 inference(resolution,[status(thm)],[f3403,f1354])).
% 10.92/1.97 fof(f3430,plain,(
% 10.92/1.97 op1(e10,e10)=e11|~sP17_prd|sP25_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3024,f469])).
% 10.92/1.97 fof(f3431,plain,(
% 10.92/1.97 op1(e10,e10)=e11|~sP17_prd),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f3430,f2946])).
% 10.92/1.97 fof(f3483,plain,(
% 10.92/1.97 op1(e10,e13)=e11|op1(e11,e13)=e11|e12=e11|op1(e12,e10)=e12|op1(e12,e12)=e12),
% 10.92/1.97 inference(paramodulation,[status(thm)],[f2746,f2873])).
% 10.92/1.97 fof(f3494,plain,(
% 10.92/1.97 op1(e10,e13)=e11|op1(e11,e13)=e11|op1(e12,e10)=e12|op1(e12,e12)=e12),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f3483,f215])).
% 10.92/1.97 fof(f3498,plain,(
% 10.92/1.97 ~op1(e10,e10)=e11|~sP140_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3092,f2850])).
% 10.92/1.97 fof(f3522,plain,(
% 10.92/1.97 ~op1(e10,e13)=e13|op1(e11,e13)=e11),
% 10.92/1.97 inference(paramodulation,[status(thm)],[f2875,f134])).
% 10.92/1.97 fof(f3534,plain,(
% 10.92/1.97 op1(e10,e10)=e11|~sP1_prd|~op1(e13,e12)=e13),
% 10.92/1.97 inference(resolution,[status(thm)],[f3431,f2857])).
% 10.92/1.97 fof(f3537,plain,(
% 10.92/1.97 op1(e10,e10)=e11|~sP1_prd|op1(e12,e13)=e11),
% 10.92/1.97 inference(resolution,[status(thm)],[f3431,f2126])).
% 10.92/1.97 fof(f3569,plain,(
% 10.92/1.97 ~op1(e10,e10)=e11|~sP138_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3498,f2617])).
% 10.92/1.97 fof(f3576,plain,(
% 10.92/1.97 ~op1(e10,e10)=e11|~sP136_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3569,f3027])).
% 10.92/1.97 fof(f3578,plain,(
% 10.92/1.97 ~op1(e10,e10)=e11|~sP134_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3576,f2606])).
% 10.92/1.97 fof(f3580,plain,(
% 10.92/1.97 op1(e13,e11)=e11),
% 10.92/1.97 inference(resolution,[status(thm)],[f2876,f1700])).
% 10.92/1.97 fof(f3599,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(e11)=e21|~h2(op1(e13,e12))=op2(e23,e22)),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f3580,f3059])).
% 10.92/1.97 fof(f3600,plain,(
% 10.92/1.97 ~e11=op1(e13,e12)),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f3580,f161])).
% 10.92/1.97 fof(f3601,plain,(
% 10.92/1.97 ~op1(e13,e10)=e11),
% 10.92/1.97 inference(backward_demodulation,[status(thm)],[f3580,f158])).
% 10.92/1.97 fof(f3617,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~e21=e21|~h2(op1(e13,e12))=op2(e23,e22)),
% 10.92/1.97 inference(forward_demodulation,[status(thm)],[f280,f3599])).
% 10.92/1.97 fof(f3618,plain,(
% 10.92/1.97 ~h2(op1(e10,e10))=h1(e12)|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e12))=op2(e23,e22)),
% 10.92/1.97 inference(trivial_equality_resolution,[status(thm)],[f3617])).
% 10.92/1.97 fof(f3620,plain,(
% 10.92/1.97 op1(e13,e12)=e12|op1(e13,e12)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2859,f3600])).
% 10.92/1.97 fof(f3621,plain,(
% 10.92/1.97 op1(e10,e10)=e11|op1(e11,e10)=e11|op1(e12,e10)=e11),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f39,f3601])).
% 10.92/1.97 fof(f3622,plain,(
% 10.92/1.97 op1(e13,e10)=e12|op1(e13,e10)=e13),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f2862,f3601])).
% 10.92/1.97 fof(f3632,plain,(
% 10.92/1.97 ~op1(e10,e10)=e11|~sP132_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3578,f2851])).
% 10.92/1.97 fof(f3634,plain,(
% 10.92/1.97 ~op1(e10,e10)=e11|~sP130_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3632,f2598])).
% 10.92/1.97 fof(f3666,plain,(
% 10.92/1.97 ~op1(e10,e10)=e11|~sP128_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3634,f2591])).
% 10.92/1.97 fof(f3668,plain,(
% 10.92/1.97 ~op1(e10,e10)=e11|~sP126_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3666,f2734])).
% 10.92/1.97 fof(f3684,plain,(
% 10.92/1.97 ~op1(e10,e10)=e11|~sP124_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3668,f2581])).
% 10.92/1.97 fof(f3686,plain,(
% 10.92/1.97 ~op1(e10,e10)=e11|~sP122_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3684,f2576])).
% 10.92/1.97 fof(f3688,plain,(
% 10.92/1.97 ~op1(e10,e10)=e11|~sP120_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f3686,f2571])).
% 10.92/1.97 fof(f3711,plain,(
% 10.92/1.97 ~op1(e10,e10)=e11|~sP118_prd|op1(e11,e10)=e11),
% 10.92/1.97 inference(resolution,[status(thm)],[f3688,f1345])).
% 10.92/1.97 fof(f3712,plain,(
% 10.92/1.97 ~sP3_prd|~op2(e23,e22)=e23|h1(e12)=e21),
% 10.92/1.97 inference(resolution,[status(thm)],[f2998,f3326])).
% 10.92/1.97 fof(f3914,plain,(
% 10.92/1.97 ~op2(e21,e20)=e23|op2(e21,e23)=e21),
% 10.92/1.97 inference(paramodulation,[status(thm)],[f2977,f196])).
% 10.92/1.97 fof(f4058,plain,(
% 10.92/1.97 op2(e20,e22)=e21|e20=e21|h3(e12)=e21|op2(e21,e20)=e20),
% 10.92/1.97 inference(paramodulation,[status(thm)],[f2978,f3076])).
% 10.92/1.97 fof(f4069,plain,(
% 10.92/1.97 op2(e20,e22)=e21|h3(e12)=e21|op2(e21,e20)=e20),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f4058,f218])).
% 10.92/1.97 fof(f4093,plain,(
% 10.92/1.97 ~h1(e12)=e23|op2(e23,e20)=e22),
% 10.92/1.97 inference(paramodulation,[status(thm)],[f3077,f1741])).
% 10.92/1.97 fof(f4124,plain,(
% 10.92/1.97 h1(e12)=e21|op2(e22,e23)=e21|~op2(e22,e23)=e22),
% 10.92/1.97 inference(resolution,[status(thm)],[f3358,f2798])).
% 10.92/1.97 fof(f4128,plain,(
% 10.92/1.97 h1(e12)=e21|op2(e22,e23)=e21),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f4124,f2979])).
% 10.92/1.97 fof(f4131,plain,(
% 10.92/1.97 h1(e12)=e21|e22=e21|h4(e13)=e22),
% 10.92/1.97 inference(paramodulation,[status(thm)],[f3001,f4128])).
% 10.92/1.97 fof(f4145,plain,(
% 10.92/1.97 ~op2(e22,e20)=e21|h1(e12)=e21),
% 10.92/1.97 inference(paramodulation,[status(thm)],[f4128,f202])).
% 10.92/1.97 fof(f4147,plain,(
% 10.92/1.97 h1(e12)=e21|h4(e13)=e22),
% 10.92/1.97 inference(forward_subsumption_resolution,[status(thm)],[f4131,f221])).
% 10.92/1.97 fof(f4152,plain,(
% 10.92/1.97 h1(e12)=e21|op2(e21,e20)=e21),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f3078,f4145])).
% 10.92/1.97 fof(f4155,plain,(
% 10.92/1.97 ~sP119_prd|op2(e21,e20)=e21),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f3413,f4152])).
% 10.92/1.97 fof(f4156,plain,(
% 10.92/1.97 ~sP117_prd|op2(e21,e20)=e21),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f1336,f4155])).
% 10.92/1.97 fof(f4157,plain,(
% 10.92/1.97 h1(e12)=e21|h1(e12)=e22|op2(e23,e20)=e22),
% 10.92/1.97 inference(resolution,[status(thm)],[f3081,f4093])).
% 10.92/1.97 fof(f4184,plain,(
% 10.92/1.97 op2(e21,e20)=e21|~sP115_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f4156,f2550])).
% 10.92/1.97 fof(f4185,plain,(
% 10.92/1.97 op2(e21,e20)=e21|~sP113_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f4184,f2542])).
% 10.92/1.97 fof(f4186,plain,(
% 10.92/1.97 op2(e21,e20)=e21|~sP111_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f4185,f2532])).
% 10.92/1.97 fof(f4197,plain,(
% 10.92/1.97 ~op1(e13,e10)=e13|op1(e13,e12)=e12),
% 10.92/1.97 inference(paramodulation,[status(thm)],[f3620,f159])).
% 10.92/1.97 fof(f4200,plain,(
% 10.92/1.97 ~op1(e10,e12)=e13|op1(e13,e12)=e12),
% 10.92/1.97 inference(paramodulation,[status(thm)],[f3620,f130])).
% 10.92/1.97 fof(f4213,plain,(
% 10.92/1.97 op2(e21,e20)=e21|~sP109_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f4186,f2524])).
% 10.92/1.97 fof(f4214,plain,(
% 10.92/1.97 op2(e21,e20)=e21|~sP107_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f4213,f2518])).
% 10.92/1.97 fof(f4215,plain,(
% 10.92/1.97 op2(e21,e20)=e21|~sP105_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f4214,f2514])).
% 10.92/1.97 fof(f4216,plain,(
% 10.92/1.97 op2(e21,e20)=e21|~sP103_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f4215,f2508])).
% 10.92/1.97 fof(f4217,plain,(
% 10.92/1.97 op2(e21,e20)=e21|~sP101_prd),
% 10.92/1.97 inference(resolution,[status(thm)],[f4216,f2503])).
% 10.92/1.97 fof(f4228,plain,(
% 10.92/1.97 ~op1(e10,e10)=e13|op1(e13,e10)=e12),
% 10.92/1.97 inference(paramodulation,[status(thm)],[f3622,f118])).
% 10.92/1.97 fof(f4252,plain,(
% 10.92/1.97 ~h1(e12)=e22|h1(e12)=e21),
% 10.92/1.97 inference(paramodulation,[status(thm)],[f4147,f3010])).
% 10.92/1.97 fof(f4262,plain,(
% 10.92/1.97 h1(e12)=e21|op2(e23,e20)=e22),
% 10.92/1.97 inference(backward_subsumption_resolution,[status(thm)],[f4157,f4252])).
% 10.92/1.97 fof(f4487,plain,(
% 10.92/1.97 ~op2(e23,e22)=e23|h1(e12)=e21|op2(e23,e20)=e23),
% 10.92/1.98 inference(resolution,[status(thm)],[f3712,f2899])).
% 10.92/1.98 fof(f4492,plain,(
% 10.92/1.98 h1(e12)=e21|op2(e23,e20)=e23),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f4487,f2971])).
% 10.92/1.98 fof(f4493,plain,(
% 10.92/1.98 h1(e12)=e21|e22=e23|h1(e12)=e21),
% 10.92/1.98 inference(paramodulation,[status(thm)],[f4262,f4492])).
% 10.92/1.98 fof(f4506,plain,(
% 10.92/1.98 h1(e12)=e21|e22=e23),
% 10.92/1.98 inference(duplicate_literals_removal,[status(thm)],[f4493])).
% 10.92/1.98 fof(f4545,plain,(
% 10.92/1.98 e21=e23|op2(e20,e22)=e23|h4(e13)=e23),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4644,f3009])).
% 10.92/1.98 fof(f4556,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~h2(op1(e11,e10))=op2(e21,e20)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e12))=op2(e23,e22)),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4644,f3618])).
% 10.92/1.98 fof(f4572,plain,(
% 10.92/1.98 e21=e23|op2(e21,e20)=e23|op2(e23,e20)=e23),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4644,f2788])).
% 10.92/1.98 fof(f4575,plain,(
% 10.92/1.98 ~e21=op2(e21,e20)),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4644,f1743])).
% 10.92/1.98 fof(f4579,plain,(
% 10.92/1.98 ~e21=op2(e20,e22)),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4644,f1739])).
% 10.92/1.98 fof(f4581,plain,(
% 10.92/1.98 ~sP99_prd|sP101_prd|e21=e23),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4644,f2496])).
% 10.92/1.98 fof(f4582,plain,(
% 10.92/1.98 ~sP67_prd|sP69_prd|e21=e23),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4644,f2391])).
% 10.92/1.98 fof(f4586,plain,(
% 10.92/1.98 h1(e13)=op2(e21,e20)),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4644,f1753])).
% 10.92/1.98 fof(f4644,plain,(
% 10.92/1.98 h1(e12)=e21),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f4506,f223])).
% 10.92/1.98 fof(f4650,plain,(
% 10.92/1.98 op2(e20,e22)=e23|h4(e13)=e23),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f4545,f222])).
% 10.92/1.98 fof(f4713,plain,(
% 10.92/1.98 op2(e21,e20)=e23|op2(e23,e20)=e23),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f4572,f222])).
% 10.92/1.98 fof(f4714,plain,(
% 10.92/1.98 ~sP101_prd),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f4217,f4575])).
% 10.92/1.98 fof(f4748,plain,(
% 10.92/1.98 op2(e20,e22)=e22|op2(e20,e22)=e23),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f3088,f4579])).
% 10.92/1.98 fof(f4752,plain,(
% 10.92/1.98 h3(e12)=e21|op2(e21,e20)=e20),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f4069,f4579])).
% 10.92/1.98 fof(f4753,plain,(
% 10.92/1.98 ~sP99_prd|sP101_prd),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f4581,f222])).
% 10.92/1.98 fof(f4754,plain,(
% 10.92/1.98 ~sP67_prd|sP69_prd),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f4582,f222])).
% 10.92/1.98 fof(f4759,plain,(
% 10.92/1.98 h1(e13)=e20|op2(e22,e20)=e20),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4586,f3080])).
% 10.92/1.98 fof(f4761,plain,(
% 10.92/1.98 h1(e13)=e20|op2(e21,e22)=e20),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4586,f2978])).
% 10.92/1.98 fof(f4772,plain,(
% 10.92/1.98 h1(e13)=e23|op2(e23,e20)=e23),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4586,f4713])).
% 10.92/1.98 fof(f4773,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~h2(op1(e11,e10))=h1(e13)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e12))=op2(e23,e22)),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4586,f4556])).
% 10.92/1.98 fof(f4779,plain,(
% 10.92/1.98 ~h1(e13)=e23|op2(e21,e23)=e21),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f4586,f3914])).
% 10.92/1.98 fof(f4813,plain,(
% 10.92/1.98 ~sP99_prd),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f4753,f4714])).
% 10.92/1.98 fof(f4828,plain,(
% 10.92/1.98 h3(e12)=e21|h1(e13)=e20),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f4586,f4752])).
% 10.92/1.98 fof(f4834,plain,(
% 10.92/1.98 ~sP97_prd),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f2491,f4813])).
% 10.92/1.98 fof(f4835,plain,(
% 10.92/1.98 ~sP95_prd),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f2771,f4834])).
% 10.92/1.98 fof(f4836,plain,(
% 10.92/1.98 ~sP93_prd),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f2477,f4835])).
% 10.92/1.98 fof(f4837,plain,(
% 10.92/1.98 ~sP91_prd),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f2471,f4836])).
% 10.92/1.98 fof(f4838,plain,(
% 10.92/1.98 ~sP89_prd),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f2464,f4837])).
% 10.92/1.98 fof(f4839,plain,(
% 10.92/1.98 ~sP87_prd),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f2458,f4838])).
% 10.92/1.98 fof(f4840,plain,(
% 10.92/1.98 ~sP85_prd|~op2(e23,e20)=e23),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f1051,f4839])).
% 10.92/1.98 fof(f4857,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~h2(e13)=h1(e13)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e12))=op2(e23,e22)|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(paramodulation,[status(thm)],[f2719,f4773])).
% 10.92/1.98 fof(f4858,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~e23=h1(e13)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e12))=op2(e23,e22)|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f1757,f4857])).
% 10.92/1.98 fof(f5077,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP83_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f4840,f2445])).
% 10.92/1.98 fof(f5122,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP81_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5077,f2437])).
% 10.92/1.98 fof(f5124,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP79_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5122,f2428])).
% 10.92/1.98 fof(f5136,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP77_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5124,f2418])).
% 10.92/1.98 fof(f5138,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP75_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5136,f2412])).
% 10.92/1.98 fof(f5140,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP73_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5138,f2408])).
% 10.92/1.98 fof(f5162,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP71_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5140,f2402])).
% 10.92/1.98 fof(f5164,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP69_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5162,f2397])).
% 10.92/1.98 fof(f5176,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP67_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5164,f4754])).
% 10.92/1.98 fof(f5178,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP65_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5176,f2387])).
% 10.92/1.98 fof(f5180,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP63_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5178,f2381])).
% 10.92/1.98 fof(f5208,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP61_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5180,f2377])).
% 10.92/1.98 fof(f5210,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP59_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5208,f2372])).
% 10.92/1.98 fof(f5237,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP57_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5210,f2365])).
% 10.92/1.98 fof(f5239,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP55_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5237,f2991])).
% 10.92/1.98 fof(f5241,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP53_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5239,f2355])).
% 10.92/1.98 fof(f5274,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP51_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5241,f2777])).
% 10.92/1.98 fof(f5276,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP49_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5274,f2346])).
% 10.92/1.98 fof(f5296,plain,(
% 10.92/1.98 ~op1(e10,e12)=e12|op1(e12,e10)=e11|op1(e12,e12)=e11|op1(e12,e10)=e12),
% 10.92/1.98 inference(paramodulation,[status(thm)],[f3264,f129])).
% 10.92/1.98 fof(f5303,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP47_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5276,f2778])).
% 10.92/1.98 fof(f5305,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|~sP45_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f5303,f2330])).
% 10.92/1.98 fof(f5309,plain,(
% 10.92/1.98 ~op2(e23,e20)=e23|op2(e23,e22)=e23),
% 10.92/1.98 inference(resolution,[status(thm)],[f5305,f3069])).
% 10.92/1.98 fof(f5318,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~e23=h1(e13)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=op2(e23,e20)|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f5351,f4858])).
% 10.92/1.98 fof(f5323,plain,(
% 10.92/1.98 op2(e23,e20)=e22|e23=e22),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f5351,f2969])).
% 10.92/1.98 fof(f5335,plain,(
% 10.92/1.98 ~op2(e20,e22)=e23),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f5351,f178])).
% 10.92/1.98 fof(f5351,plain,(
% 10.92/1.98 op2(e23,e22)=e23),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f5309,f2971])).
% 10.92/1.98 fof(f5379,plain,(
% 10.92/1.98 h1(e13)=e23|e22=e23),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f5409,f4772])).
% 10.92/1.98 fof(f5392,plain,(
% 10.92/1.98 ~op2(e22,e20)=e22),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f5409,f169])).
% 10.92/1.98 fof(f5394,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~e23=h1(e13)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f5409,f5318])).
% 10.92/1.98 fof(f5409,plain,(
% 10.92/1.98 op2(e23,e20)=e22),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f5323,f223])).
% 10.92/1.98 fof(f5436,plain,(
% 10.92/1.98 op2(e20,e22)=e22),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f4748,f5335])).
% 10.92/1.98 fof(f5437,plain,(
% 10.92/1.98 h4(e13)=e23),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f4650,f5335])).
% 10.92/1.98 fof(f5461,plain,(
% 10.92/1.98 e23=e20|op2(e21,e22)=e20),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f5487,f4761])).
% 10.92/1.98 fof(f5462,plain,(
% 10.92/1.98 e23=e20|op2(e22,e20)=e20),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f5487,f4759])).
% 10.92/1.98 fof(f5480,plain,(
% 10.92/1.98 ~e23=e23|op2(e21,e23)=e21),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f5487,f4779])).
% 10.92/1.98 fof(f5484,plain,(
% 10.92/1.98 h3(e12)=e21|e23=e20),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f5487,f4828])).
% 10.92/1.98 fof(f5487,plain,(
% 10.92/1.98 h1(e13)=e23),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f5379,f223])).
% 10.92/1.98 fof(f5512,plain,(
% 10.92/1.98 h3(e12)=e22|op2(e22,e23)=e22),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f2780,f5392])).
% 10.92/1.98 fof(f5520,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~e23=e23|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f5487,f5394])).
% 10.92/1.98 fof(f5521,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=op2(e20,e22)|~h2(op1(e10,e13))=h4(e13)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(trivial_equality_resolution,[status(thm)],[f5520])).
% 10.92/1.98 fof(f5549,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=h4(e13)|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f5436,f5521])).
% 10.92/1.98 fof(f5635,plain,(
% 10.92/1.98 op2(e21,e22)=e20),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f5461,f220])).
% 10.92/1.98 fof(f5643,plain,(
% 10.92/1.98 op2(e22,e20)=e20),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f5462,f220])).
% 10.92/1.98 fof(f5752,plain,(
% 10.92/1.98 op2(e21,e23)=e21),
% 10.92/1.98 inference(trivial_equality_resolution,[status(thm)],[f5480])).
% 10.92/1.98 fof(f5767,plain,(
% 10.92/1.98 h3(e12)=e21),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f5484,f220])).
% 10.92/1.98 fof(f5802,plain,(
% 10.92/1.98 e21=e22|op2(e22,e23)=e22),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f5767,f5512])).
% 10.92/1.98 fof(f5806,plain,(
% 10.92/1.98 op2(e22,e23)=e22),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f5802,f221])).
% 10.92/1.98 fof(f5845,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e12))=op2(e21,e22)|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f5437,f5549])).
% 10.92/1.98 fof(f5846,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e12))=e20|~h2(op1(e11,e13))=op2(e21,e23)|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f5635,f5845])).
% 10.92/1.98 fof(f5847,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e12))=e20|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=op2(e22,e20)|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f5752,f5846])).
% 10.92/1.98 fof(f5848,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e12))=e20|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=h3(e12)|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f5643,f5847])).
% 10.92/1.98 fof(f5849,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e12))=e20|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=op2(e22,e23)|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f5767,f5848])).
% 10.92/1.98 fof(f5850,plain,(
% 10.92/1.98 ~h2(op1(e10,e10))=e21|~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e12))=e20|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f5806,f5849])).
% 10.92/1.98 fof(f6082,plain,(
% 10.92/1.98 op1(e13,e12)=e12|op1(e13,e10)=e12),
% 10.92/1.98 inference(resolution,[status(thm)],[f4197,f3622])).
% 10.92/1.98 fof(f6083,plain,(
% 10.92/1.98 op1(e13,e12)=e12|op1(e10,e10)=e13|op1(e11,e10)=e13),
% 10.92/1.98 inference(resolution,[status(thm)],[f4197,f2741])).
% 10.92/1.98 fof(f6122,plain,(
% 10.92/1.98 op1(e13,e12)=e12|op1(e10,e12)=e11|op1(e10,e12)=e12),
% 10.92/1.98 inference(resolution,[status(thm)],[f4200,f3029])).
% 10.92/1.98 fof(f6129,plain,(
% 10.92/1.98 op1(e13,e10)=e12|op1(e10,e10)=e11|op1(e10,e10)=e12),
% 10.92/1.98 inference(resolution,[status(thm)],[f4228,f3031])).
% 10.92/1.98 fof(f6155,plain,(
% 10.92/1.98 op1(e10,e10)=e11|~op1(e13,e12)=e13|op1(e13,e10)=e13),
% 10.92/1.98 inference(resolution,[status(thm)],[f3534,f2697])).
% 10.92/1.98 fof(f6181,plain,(
% 10.92/1.98 op1(e10,e10)=e11|op1(e12,e13)=e11|~op1(e12,e13)=e12),
% 10.92/1.98 inference(resolution,[status(thm)],[f3537,f2738])).
% 10.92/1.98 fof(f6186,plain,(
% 10.92/1.98 op1(e10,e10)=e11|op1(e12,e13)=e11),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f6181,f2878])).
% 10.92/1.98 fof(f6203,plain,(
% 10.92/1.98 ~op1(e12,e10)=e11|op1(e10,e10)=e11),
% 10.92/1.98 inference(paramodulation,[status(thm)],[f6186,f154])).
% 10.92/1.98 fof(f6204,plain,(
% 10.92/1.98 ~op1(e11,e13)=e11|op1(e10,e10)=e11),
% 10.92/1.98 inference(paramodulation,[status(thm)],[f6186,f137])).
% 10.92/1.98 fof(f6205,plain,(
% 10.92/1.98 ~op1(e10,e13)=e11|op1(e10,e10)=e11),
% 10.92/1.98 inference(paramodulation,[status(thm)],[f6186,f135])).
% 10.92/1.98 fof(f6209,plain,(
% 10.92/1.98 op1(e10,e10)=e11|op1(e11,e10)=e11),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f3621,f6203])).
% 10.92/1.98 fof(f6214,plain,(
% 10.92/1.98 ~sP118_prd|op1(e11,e10)=e11),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f3711,f6209])).
% 10.92/1.98 fof(f6215,plain,(
% 10.92/1.98 ~sP116_prd|op1(e11,e10)=e11),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f1327,f6214])).
% 10.92/1.98 fof(f6220,plain,(
% 10.92/1.98 op1(e11,e10)=e11|~sP114_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6215,f2547])).
% 10.92/1.98 fof(f6222,plain,(
% 10.92/1.98 op1(e11,e10)=e11|~sP112_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6220,f2537])).
% 10.92/1.98 fof(f6244,plain,(
% 10.92/1.98 ~op1(e10,e12)=e12|op1(e10,e13)=e11|op1(e11,e13)=e11|op1(e12,e10)=e12),
% 10.92/1.98 inference(paramodulation,[status(thm)],[f3494,f129])).
% 10.92/1.98 fof(f6256,plain,(
% 10.92/1.98 op1(e11,e10)=e11|~sP110_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6222,f2528])).
% 10.92/1.98 fof(f6257,plain,(
% 10.92/1.98 op1(e11,e10)=e11|~sP108_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6256,f2521])).
% 10.92/1.98 fof(f6260,plain,(
% 10.92/1.98 op1(e11,e10)=e11|~sP106_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6257,f2516])).
% 10.92/1.98 fof(f6261,plain,(
% 10.92/1.98 op1(e11,e10)=e11|~sP104_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6260,f2512])).
% 10.92/1.98 fof(f6262,plain,(
% 10.92/1.98 op1(e11,e10)=e11|~sP102_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6261,f2506])).
% 10.92/1.98 fof(f6263,plain,(
% 10.92/1.98 op1(e11,e10)=e11|~sP100_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6262,f2501])).
% 10.92/1.98 fof(f6290,plain,(
% 10.92/1.98 op1(e11,e10)=e11|~sP98_prd|op1(e10,e10)=e13),
% 10.92/1.98 inference(resolution,[status(thm)],[f6263,f1167])).
% 10.92/1.98 fof(f6300,plain,(
% 10.92/1.98 op1(e10,e10)=e11|~op1(e10,e13)=e13),
% 10.92/1.98 inference(resolution,[status(thm)],[f6204,f3522])).
% 10.92/1.98 fof(f6337,plain,(
% 10.92/1.98 op1(e10,e10)=e11|op1(e10,e13)=e11|op1(e10,e13)=e12),
% 10.92/1.98 inference(resolution,[status(thm)],[f6300,f2868])).
% 10.92/1.98 fof(f6342,plain,(
% 10.92/1.98 op1(e10,e10)=e11|op1(e10,e13)=e12),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f6337,f6205])).
% 10.92/1.98 fof(f6396,plain,(
% 10.92/1.98 ~op1(e10,e10)=e12|op1(e10,e10)=e11),
% 10.92/1.98 inference(paramodulation,[status(thm)],[f6342,f142])).
% 10.92/1.98 fof(f6400,plain,(
% 10.92/1.98 op1(e13,e10)=e12|op1(e10,e10)=e11),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f6129,f6396])).
% 10.92/1.98 fof(f6571,plain,(
% 10.92/1.98 op1(e11,e10)=e11|op1(e10,e10)=e13|~sP96_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6290,f2488])).
% 10.92/1.98 fof(f6611,plain,(
% 10.92/1.98 op1(e11,e10)=e11|op1(e10,e10)=e13|~sP94_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6571,f2735])).
% 10.92/1.98 fof(f6653,plain,(
% 10.92/1.98 op1(e11,e10)=e11|op1(e10,e10)=e13|~sP92_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6611,f2473])).
% 10.92/1.98 fof(f6677,plain,(
% 10.92/1.98 op1(e11,e10)=e11|op1(e10,e10)=e13|~sP90_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6653,f2467])).
% 10.92/1.98 fof(f6711,plain,(
% 10.92/1.98 op1(e11,e10)=e11|op1(e10,e10)=e13|~sP88_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6677,f2460])).
% 10.92/1.98 fof(f6733,plain,(
% 10.92/1.98 op1(e11,e10)=e11|op1(e10,e10)=e13|~sP86_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f6711,f2455])).
% 10.92/1.98 fof(f7575,plain,(
% 10.92/1.98 op1(e10,e10)=e11|op1(e13,e10)=e13|op1(e13,e12)=e12),
% 10.92/1.98 inference(resolution,[status(thm)],[f6155,f3620])).
% 10.92/1.98 fof(f7586,plain,(
% 10.92/1.98 op1(e10,e10)=e11|op1(e13,e12)=e12),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f7575,f4197])).
% 10.92/1.98 fof(f7619,plain,(
% 10.92/1.98 ~op1(e13,e10)=e12|op1(e10,e10)=e11),
% 10.92/1.98 inference(paramodulation,[status(thm)],[f7586,f159])).
% 10.92/1.98 fof(f7626,plain,(
% 10.92/1.98 op1(e13,e12)=e12|e11=e13|op1(e11,e10)=e13),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f7897,f6083])).
% 10.92/1.98 fof(f7672,plain,(
% 10.92/1.98 op1(e11,e10)=e11|e11=e13|~sP86_prd),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f7897,f6733])).
% 10.92/1.98 fof(f7728,plain,(
% 10.92/1.98 ~h2(e11)=e21|~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e12))=e20|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f7897,f5850])).
% 10.92/1.98 fof(f7738,plain,(
% 10.92/1.98 e11=e13|op1(e10,e12)=e13|op1(e10,e13)=e13),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f7897,f2745])).
% 10.92/1.98 fof(f7760,plain,(
% 10.92/1.98 ~sP66_prd|sP68_prd|e11=e13),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f7897,f879])).
% 10.92/1.98 fof(f7764,plain,(
% 10.92/1.98 ~e11=op1(e10,e13)),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f7897,f142])).
% 10.92/1.98 fof(f7765,plain,(
% 10.92/1.98 ~e11=op1(e10,e12)),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f7897,f141])).
% 10.92/1.98 fof(f7767,plain,(
% 10.92/1.98 ~e11=op1(e12,e10)),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f7897,f117])).
% 10.92/1.98 fof(f7768,plain,(
% 10.92/1.98 ~e11=op1(e11,e10)),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f7897,f116])).
% 10.92/1.98 fof(f7897,plain,(
% 10.92/1.98 op1(e10,e10)=e11),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f7619,f6400])).
% 10.92/1.98 fof(f7898,plain,(
% 10.92/1.98 op1(e13,e12)=e12|op1(e11,e10)=e13),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f7626,f216])).
% 10.92/1.98 fof(f7900,plain,(
% 10.92/1.98 op1(e11,e10)=e11|~sP86_prd),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f7672,f216])).
% 10.92/1.98 fof(f7918,plain,(
% 10.92/1.98 ~e21=e21|~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e12))=e20|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f280,f7728])).
% 10.92/1.98 fof(f7919,plain,(
% 10.92/1.98 ~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e12))=e20|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e11),
% 10.92/1.98 inference(trivial_equality_resolution,[status(thm)],[f7918])).
% 10.92/1.98 fof(f7930,plain,(
% 10.92/1.98 op1(e10,e12)=e13|op1(e10,e13)=e13),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f7738,f216])).
% 10.92/1.98 fof(f7956,plain,(
% 10.92/1.98 ~sP66_prd|sP68_prd),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f7760,f216])).
% 10.92/1.98 fof(f7969,plain,(
% 10.92/1.98 ~op1(e10,e12)=e12|op1(e11,e13)=e11|op1(e12,e10)=e12),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f6244,f7764])).
% 10.92/1.98 fof(f7973,plain,(
% 10.92/1.98 op1(e13,e12)=e12|op1(e10,e12)=e12),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f6122,f7765])).
% 10.92/1.98 fof(f8001,plain,(
% 10.92/1.98 ~op1(e10,e12)=e12|op1(e12,e12)=e11|op1(e12,e10)=e12),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f5296,f7767])).
% 10.92/1.98 fof(f8019,plain,(
% 10.92/1.98 ~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e12))=e20|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f7919,f7768])).
% 10.92/1.98 fof(f8028,plain,(
% 10.92/1.98 ~sP86_prd),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f7900,f7768])).
% 10.92/1.98 fof(f8104,plain,(
% 10.92/1.98 ~sP84_prd|~op1(e13,e10)=e13),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f1042,f8028])).
% 10.92/1.98 fof(f8142,plain,(
% 10.92/1.98 ~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(e10)=e20|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e10),
% 10.92/1.98 inference(paramodulation,[status(thm)],[f2864,f8019])).
% 10.92/1.98 fof(f8146,plain,(
% 10.92/1.98 ~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~e20=e20|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10|op1(e11,e10)=e10),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f1754,f8142])).
% 10.92/1.98 fof(f8147,plain,(
% 10.92/1.98 ~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~e20=e20|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10),
% 10.92/1.98 inference(duplicate_literals_removal,[status(thm)],[f8146])).
% 10.92/1.98 fof(f8148,plain,(
% 10.92/1.98 ~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(op1(e13,e10))=e22|~h2(op1(e13,e12))=e23|op1(e11,e10)=e10),
% 10.92/1.98 inference(trivial_equality_resolution,[status(thm)],[f8147])).
% 10.92/1.98 fof(f8225,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP82_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8104,f2442])).
% 10.92/1.98 fof(f8231,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP80_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8225,f2433])).
% 10.92/1.98 fof(f8252,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP78_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8231,f2425])).
% 10.92/1.98 fof(f8255,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP76_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8252,f2415])).
% 10.92/1.98 fof(f8300,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP74_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8255,f2409])).
% 10.92/1.98 fof(f8310,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP72_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8300,f2405])).
% 10.92/1.98 fof(f8349,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP70_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8310,f2399])).
% 10.92/1.98 fof(f8352,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP68_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8349,f2394])).
% 10.92/1.98 fof(f8369,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP66_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8352,f7956])).
% 10.92/1.98 fof(f8379,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP64_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8369,f2383])).
% 10.92/1.98 fof(f8395,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP62_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8379,f2378])).
% 10.92/1.98 fof(f8398,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP60_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8395,f2373])).
% 10.92/1.98 fof(f8419,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP58_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8398,f2368])).
% 10.92/1.98 fof(f8428,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP56_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8419,f2361])).
% 10.92/1.98 fof(f8444,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP54_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8428,f2854])).
% 10.92/1.98 fof(f8447,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP52_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8444,f2352])).
% 10.92/1.98 fof(f8468,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP50_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8447,f2743])).
% 10.92/1.98 fof(f8478,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP48_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8468,f2342])).
% 10.92/1.98 fof(f8494,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP46_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8478,f2744])).
% 10.92/1.98 fof(f8497,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|~sP44_prd),
% 10.92/1.98 inference(resolution,[status(thm)],[f8494,f2327])).
% 10.92/1.98 fof(f8520,plain,(
% 10.92/1.98 ~op1(e13,e10)=e13|op1(e13,e12)=e13),
% 10.92/1.98 inference(resolution,[status(thm)],[f8497,f3068])).
% 10.92/1.98 fof(f8521,plain,(
% 10.92/1.98 op1(e13,e12)=e13|e10=e13),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f2870,f8520])).
% 10.92/1.98 fof(f8526,plain,(
% 10.92/1.98 ~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(op1(e13,e10))=e22|~h2(e13)=e23|op1(e11,e10)=e10),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f8599,f8148])).
% 10.92/1.98 fof(f8531,plain,(
% 10.92/1.98 e13=e12|op1(e13,e10)=e12),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f8599,f6082])).
% 10.92/1.98 fof(f8532,plain,(
% 10.92/1.98 ~op1(e10,e12)=e13|e13=e12),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f8599,f4200])).
% 10.92/1.98 fof(f8582,plain,(
% 10.92/1.98 e13=e12|op1(e10,e12)=e12),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f8599,f7973])).
% 10.92/1.98 fof(f8583,plain,(
% 10.92/1.98 e13=e12|op1(e11,e10)=e13),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f8599,f7898])).
% 10.92/1.98 fof(f8599,plain,(
% 10.92/1.98 op1(e13,e12)=e13),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f8521,f214])).
% 10.92/1.98 fof(f8604,plain,(
% 10.92/1.98 ~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(op1(e13,e10))=e22|~e23=e23|op1(e11,e10)=e10),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f1757,f8526])).
% 10.92/1.98 fof(f8605,plain,(
% 10.92/1.98 ~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(op1(e13,e10))=e22|op1(e11,e10)=e10),
% 10.92/1.98 inference(trivial_equality_resolution,[status(thm)],[f8604])).
% 10.92/1.98 fof(f8649,plain,(
% 10.92/1.98 ~op1(e12,e10)=e12),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f8685,f121])).
% 10.92/1.98 fof(f8653,plain,(
% 10.92/1.98 ~h2(op1(e10,e12))=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(e12)=e22|op1(e11,e10)=e10),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f8685,f8605])).
% 10.92/1.98 fof(f8685,plain,(
% 10.92/1.98 op1(e13,e10)=e12),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f8531,f217])).
% 10.92/1.98 fof(f8686,plain,(
% 10.92/1.98 op1(e10,e13)=e13),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f7930,f8690])).
% 10.92/1.98 fof(f8690,plain,(
% 10.92/1.98 ~op1(e10,e12)=e13),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f8532,f217])).
% 10.92/1.98 fof(f8801,plain,(
% 10.92/1.98 ~e12=e12|op1(e12,e12)=e11|op1(e12,e10)=e12),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f8816,f8001])).
% 10.92/1.98 fof(f8805,plain,(
% 10.92/1.98 ~e12=e12|op1(e11,e13)=e11|op1(e12,e10)=e12),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f8816,f7969])).
% 10.92/1.98 fof(f8816,plain,(
% 10.92/1.98 op1(e10,e12)=e12),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f8582,f217])).
% 10.92/1.98 fof(f8824,plain,(
% 10.92/1.98 e13=e10|op1(e12,e10)=e10),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f8841,f3030])).
% 10.92/1.98 fof(f8841,plain,(
% 10.92/1.98 op1(e11,e10)=e13),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f8583,f217])).
% 10.92/1.98 fof(f8885,plain,(
% 10.92/1.98 op1(e12,e12)=e12|op1(e12,e13)=e12),
% 10.92/1.98 inference(backward_subsumption_resolution,[status(thm)],[f2746,f8649])).
% 10.92/1.98 fof(f8904,plain,(
% 10.92/1.98 ~h2(e12)=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(e12)=e22|op1(e11,e10)=e10),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f8816,f8653])).
% 10.92/1.98 fof(f8905,plain,(
% 10.92/1.98 ~e22=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~h2(e12)=e22|op1(e11,e10)=e10),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f1755,f8904])).
% 10.92/1.98 fof(f8906,plain,(
% 10.92/1.98 ~e22=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~e22=e22|op1(e11,e10)=e10),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f1755,f8905])).
% 10.92/1.98 fof(f8907,plain,(
% 10.92/1.98 ~e22=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|~e22=e22|e13=e10),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f8841,f8906])).
% 10.92/1.98 fof(f8908,plain,(
% 10.92/1.98 ~e22=e22|~h2(op1(e10,e13))=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|e13=e10),
% 10.92/1.98 inference(duplicate_literals_removal,[status(thm)],[f8907])).
% 10.92/1.98 fof(f8909,plain,(
% 10.92/1.98 ~h2(op1(e10,e13))=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22|e13=e10),
% 10.92/1.98 inference(trivial_equality_resolution,[status(thm)],[f8908])).
% 10.92/1.98 fof(f8910,plain,(
% 10.92/1.98 ~h2(op1(e10,e13))=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f8909,f214])).
% 10.92/1.98 fof(f8945,plain,(
% 10.92/1.98 ~h2(e13)=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22),
% 10.92/1.98 inference(backward_demodulation,[status(thm)],[f8686,f8910])).
% 10.92/1.98 fof(f8979,plain,(
% 10.92/1.98 op1(e12,e12)=e11|op1(e12,e10)=e12),
% 10.92/1.98 inference(trivial_equality_resolution,[status(thm)],[f8801])).
% 10.92/1.98 fof(f9013,plain,(
% 10.92/1.98 op1(e12,e12)=e11),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f8979,f8649])).
% 10.92/1.98 fof(f9014,plain,(
% 10.92/1.98 op1(e11,e13)=e11|op1(e12,e10)=e12),
% 10.92/1.98 inference(trivial_equality_resolution,[status(thm)],[f8805])).
% 10.92/1.98 fof(f9024,plain,(
% 10.92/1.98 op1(e11,e13)=e11),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f9014,f8649])).
% 10.92/1.98 fof(f9049,plain,(
% 10.92/1.98 op1(e12,e10)=e10),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f8824,f214])).
% 10.92/1.98 fof(f9084,plain,(
% 10.92/1.98 e11=e12|op1(e12,e13)=e12),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f9013,f8885])).
% 10.92/1.98 fof(f9088,plain,(
% 10.92/1.98 op1(e12,e13)=e12),
% 10.92/1.98 inference(forward_subsumption_resolution,[status(thm)],[f9084,f215])).
% 10.92/1.98 fof(f9097,plain,(
% 10.92/1.98 ~e23=e23|~h2(op1(e11,e13))=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f1757,f8945])).
% 10.92/1.98 fof(f9098,plain,(
% 10.92/1.98 ~e23=e23|~h2(e11)=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f9024,f9097])).
% 10.92/1.98 fof(f9099,plain,(
% 10.92/1.98 ~e23=e23|~e21=e21|~h2(op1(e12,e10))=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f280,f9098])).
% 10.92/1.98 fof(f9100,plain,(
% 10.92/1.98 ~e23=e23|~e21=e21|~h2(e10)=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f9049,f9099])).
% 10.92/1.98 fof(f9101,plain,(
% 10.92/1.98 ~e23=e23|~e21=e21|~e20=e20|~h2(op1(e12,e12))=e21|~h2(op1(e12,e13))=e22),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f1754,f9100])).
% 10.92/1.98 fof(f9102,plain,(
% 10.92/1.98 ~e23=e23|~e21=e21|~e20=e20|~h2(e11)=e21|~h2(op1(e12,e13))=e22),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f9013,f9101])).
% 10.92/1.98 fof(f9103,plain,(
% 10.92/1.98 ~e23=e23|~e21=e21|~e20=e20|~e21=e21|~h2(op1(e12,e13))=e22),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f280,f9102])).
% 10.92/1.98 fof(f9104,plain,(
% 10.92/1.98 ~e23=e23|~e21=e21|~e20=e20|~e21=e21|~h2(e12)=e22),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f9088,f9103])).
% 10.92/1.98 fof(f9105,plain,(
% 10.92/1.98 ~e23=e23|~e21=e21|~e20=e20|~e21=e21|~e22=e22),
% 10.92/1.98 inference(forward_demodulation,[status(thm)],[f1755,f9104])).
% 10.92/1.98 fof(f9106,plain,(
% 10.92/1.98 ~e23=e23|~e21=e21|~e20=e20|~e22=e22),
% 10.92/1.98 inference(duplicate_literals_removal,[status(thm)],[f9105])).
% 10.92/1.98 fof(f9107,plain,(
% 10.92/1.98 $false),
% 10.92/1.98 inference(trivial_equality_resolution,[status(thm)],[f9106])).
% 10.92/1.98 % SZS output end CNFRefutation for theBenchmark.p
% 10.92/1.98 % Elapsed time: 1.611318 seconds
% 10.92/1.98 % CPU time: 11.802893 seconds
% 10.92/1.98 % Total memory used: 225.510 MB
% 10.92/1.98 % Net memory used: 221.788 MB
%------------------------------------------------------------------------------