%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG094+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 11:49:36 AM UTC 2026
% Result : Theorem 0.15s 5.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG094+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.52 % Computer : n006.cluster.edu
% 0.11/5.52 % Model : x86_64 x86_64
% 0.11/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.52 % Memory : 8046.5625MB
% 0.11/5.52 % OS : Linux 6.8.0-71-generic
% 0.11/5.52 % CPULimit : 300
% 0.11/5.52 % WCLimit : 300
% 0.11/5.52 % DateTime : Mon Sep 21 12:56:04 UTC 2026
% 0.11/5.52 % CPUTime :
% 0.15/5.62 % Drodi V4.1.1
% 0.15/5.65 % Refutation found
% 0.15/5.65 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.65 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.65 fof(f1,axiom,(
% 0.15/5.65 ( e0 != e1& e0 != e2& e0 != e3& e0 != e4& e1 != e2& e1 != e3& e1 != e4& e2 != e3& e2 != e4& e3 != e4 ) ),
% 0.15/5.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.65 fof(f2,axiom,(
% 0.15/5.65 ( op(e0,e0) = e0& op(e0,e1) = e1& op(e0,e2) = e2& op(e0,e3) = e3& op(e0,e4) = e4& op(e1,e0) = e1& op(e1,e1) = e2& op(e1,e2) = e3& op(e1,e3) = e4& op(e1,e4) = e0& op(e2,e0) = e2& op(e2,e1) = e4& op(e2,e2) = e1& op(e2,e3) = e0& op(e2,e4) = e3& op(e3,e0) = e3& op(e3,e1) = e0& op(e3,e2) = e4& op(e3,e3) = e1& op(e3,e4) = e2& op(e4,e0) = e4& op(e4,e1) = e3& op(e4,e2) = e0& op(e4,e3) = e2& op(e4,e4) = e1 ) ),
% 0.15/5.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.65 fof(f3,axiom,(
% 0.15/5.65 unit = e0 ),
% 0.15/5.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.65 fof(f4,conjecture,(
% 0.15/5.65 ( ( ( op(e0,e0) = e0& op(e0,e0) = e0& op(e0,e0) != e0 )| ( op(e0,e0) = e1& op(e1,e1) = e0& op(e0,e1) != e0 )| ( op(e0,e0) = e2& op(e2,e2) = e0& op(e0,e2) != e0 )| ( op(e0,e0) = e3& op(e3,e3) = e0& op(e0,e3) != e0 )| ( op(e0,e0) = e4& op(e4,e4) = e0& op(e0,e4) != e0 )| ( op(e1,e1) = e0& op(e0,e0) = e1& op(e1,e0) != e1 )| ( op(e1,e1) = e1& op(e1,e1) = e1& op(e1,e1) != e1 )| ( op(e1,e1) = e2& op(e2,e2) = e1& op(e1,e2) != e1 )| ( op(e1,e1) = e3& op(e3,e3) = e1& op(e1,e3) != e1 )| ( op(e1,e1) = e4& op(e4,e4) = e1& op(e1,e4) != e1 )| ( op(e2,e2) = e0& op(e0,e0) = e2& op(e2,e0) != e2 )| ( op(e2,e2) = e1& op(e1,e1) = e2& op(e2,e1) != e2 )| ( op(e2,e2) = e2& op(e2,e2) = e2& op(e2,e2) != e2 )| ( op(e2,e2) = e3& op(e3,e3) = e2& op(e2,e3) != e2 )| ( op(e2,e2) = e4& op(e4,e4) = e2& op(e2,e4) != e2 )| ( op(e3,e3) = e0& op(e0,e0) = e3& op(e3,e0) != e3 )| ( op(e3,e3) = e1& op(e1,e1) = e3& op(e3,e1) != e3 )| ( op(e3,e3) = e2& op(e2,e2) = e3& op(e3,e2) != e3 )| ( op(e3,e3) = e3& op(e3,e3) = e3& op(e3,e3) != e3 )| ( op(e3,e3) = e4& op(e4,e4) = e3& op(e3,e4) != e3 )| ( op(e4,e4) = e0& op(e0,e0) = e4& op(e4,e0) != e4 )| ( op(e4,e4) = e1& op(e1,e1) = e4& op(e4,e1) != e4 )| ( op(e4,e4) = e2& op(e2,e2) = e4& op(e4,e2) != e4 )| ( op(e4,e4) = e3& op(e3,e3) = e4& op(e4,e3) != e4 )| ( op(e4,e4) = e4& op(e4,e4) = e4& op(e4,e4) != e4 ) )& ( op(e0,e0) = e0| op(e0,e0) = e1| op(e0,e0) = e2| op(e0,e0) = e3| op(e0,e0) = e4 )& ( op(e0,e1) = e0| op(e0,e1) = e1| op(e0,e1) = e2| op(e0,e1) = e3| op(e0,e1) = e4 )& ( op(e0,e2) = e0| op(e0,e2) = e1| op(e0,e2) = e2| op(e0,e2) = e3| op(e0,e2) = e4 )& ( op(e0,e3) = e0| op(e0,e3) = e1| op(e0,e3) = e2| op(e0,e3) = e3| op(e0,e3) = e4 )& ( op(e0,e4) = e0| op(e0,e4) = e1| op(e0,e4) = e2| op(e0,e4) = e3| op(e0,e4) = e4 )& ( op(e1,e0) = e0| op(e1,e0) = e1| op(e1,e0) = e2| op(e1,e0) = e3| op(e1,e0) = e4 )& ( op(e1,e1) = e0| op(e1,e1) = e1| op(e1,e1) = e2| op(e1,e1) = e3| op(e1,e1) = e4 )& ( op(e1,e2) = e0| op(e1,e2) = e1| op(e1,e2) = e2| op(e1,e2) = e3| op(e1,e2) = e4 )& ( op(e1,e3) = e0| op(e1,e3) = e1| op(e1,e3) = e2| op(e1,e3) = e3| op(e1,e3) = e4 )& ( op(e1,e4) = e0| op(e1,e4) = e1| op(e1,e4) = e2| op(e1,e4) = e3| op(e1,e4) = e4 )& ( op(e2,e0) = e0| op(e2,e0) = e1| op(e2,e0) = e2| op(e2,e0) = e3| op(e2,e0) = e4 )& ( op(e2,e1) = e0| op(e2,e1) = e1| op(e2,e1) = e2| op(e2,e1) = e3| op(e2,e1) = e4 )& ( op(e2,e2) = e0| op(e2,e2) = e1| op(e2,e2) = e2| op(e2,e2) = e3| op(e2,e2) = e4 )& ( op(e2,e3) = e0| op(e2,e3) = e1| op(e2,e3) = e2| op(e2,e3) = e3| op(e2,e3) = e4 )& ( op(e2,e4) = e0| op(e2,e4) = e1| op(e2,e4) = e2| op(e2,e4) = e3| op(e2,e4) = e4 )& ( op(e3,e0) = e0| op(e3,e0) = e1| op(e3,e0) = e2| op(e3,e0) = e3| op(e3,e0) = e4 )& ( op(e3,e1) = e0| op(e3,e1) = e1| op(e3,e1) = e2| op(e3,e1) = e3| op(e3,e1) = e4 )& ( op(e3,e2) = e0| op(e3,e2) = e1| op(e3,e2) = e2| op(e3,e2) = e3| op(e3,e2) = e4 )& ( op(e3,e3) = e0| op(e3,e3) = e1| op(e3,e3) = e2| op(e3,e3) = e3| op(e3,e3) = e4 )& ( op(e3,e4) = e0| op(e3,e4) = e1| op(e3,e4) = e2| op(e3,e4) = e3| op(e3,e4) = e4 )& ( op(e4,e0) = e0| op(e4,e0) = e1| op(e4,e0) = e2| op(e4,e0) = e3| op(e4,e0) = e4 )& ( op(e4,e1) = e0| op(e4,e1) = e1| op(e4,e1) = e2| op(e4,e1) = e3| op(e4,e1) = e4 )& ( op(e4,e2) = e0| op(e4,e2) = e1| op(e4,e2) = e2| op(e4,e2) = e3| op(e4,e2) = e4 )& ( op(e4,e3) = e0| op(e4,e3) = e1| op(e4,e3) = e2| op(e4,e3) = e3| op(e4,e3) = e4 )& ( op(e4,e4) = e0| op(e4,e4) = e1| op(e4,e4) = e2| op(e4,e4) = e3| op(e4,e4) = e4 )& op(unit,e0) = e0& op(e0,unit) = e0& op(unit,e1) = e1& op(e1,unit) = e1& op(unit,e2) = e2& op(e2,unit) = e2& op(unit,e3) = e3& op(e3,unit) = e3& op(unit,e4) = e4& op(e4,unit) = e4& ( unit = e0| unit = e1| unit = e2| unit = e3| unit = e4 )& ( op(e0,e0) = e0| op(e0,e1) = e0| op(e0,e2) = e0| op(e0,e3) = e0| op(e0,e4) = e0 )& ( op(e0,e0) = e0| op(e1,e0) = e0| op(e2,e0) = e0| op(e3,e0) = e0| op(e4,e0) = e0 )& ( op(e0,e0) = e1| op(e0,e1) = e1| op(e0,e2) = e1| op(e0,e3) = e1| op(e0,e4) = e1 )& ( op(e0,e0) = e1| op(e1,e0) = e1| op(e2,e0) = e1| op(e3,e0) = e1| op(e4,e0) = e1 )& ( op(e0,e0) = e2| op(e0,e1) = e2| op(e0,e2) = e2| op(e0,e3) = e2| op(e0,e4) = e2 )& ( op(e0,e0) = e2| op(e1,e0) = e2| op(e2,e0) = e2| op(e3,e0) = e2| op(e4,e0) = e2 )& ( op(e0,e0) = e3| op(e0,e1) = e3| op(e0,e2) = e3| op(e0,e3) = e3| op(e0,e4) = e3 )& ( op(e0,e0) = e3| op(e1,e0) = e3| op(e2,e0) = e3| op(e3,e0) = e3| op(e4,e0) = e3 )& ( op(e0,e0) = e4| op(e0,e1) = e4| op(e0,e2) = e4| op(e0,e3) = e4| op(e0,e4) = e4 )& ( op(e0,e0) = e4| op(e1,e0) = e4| op(e2,e0) = e4| op(e3,e0) = e4| op(e4,e0) = e4 )& ( op(e1,e0) = e0| op(e1,e1) = e0| op(e1,e2) = e0| op(e1,e3) = e0| op(e1,e4) = e0 )& ( op(e0,e1) = e0| op(e1,e1) = e0| op(e2,e1) = e0| op(e3,e1) = e0| op(e4,e1) = e0 )& ( op(e1,e0) = e1| op(e1,e1) = e1| op(e1,e2) = e1| op(e1,e3) = e1| op(e1,e4) = e1 )& ( op(e0,e1) = e1| op(e1,e1) = e1| op(e2,e1) = e1| op(e3,e1) = e1| op(e4,e1) = e1 )& ( op(e1,e0) = e2| op(e1,e1) = e2| op(e1,e2) = e2| op(e1,e3) = e2| op(e1,e4) = e2 )& ( op(e0,e1) = e2| op(e1,e1) = e2| op(e2,e1) = e2| op(e3,e1) = e2| op(e4,e1) = e2 )& ( op(e1,e0) = e3| op(e1,e1) = e3| op(e1,e2) = e3| op(e1,e3) = e3| op(e1,e4) = e3 )& ( op(e0,e1) = e3| op(e1,e1) = e3| op(e2,e1) = e3| op(e3,e1) = e3| op(e4,e1) = e3 )& ( op(e1,e0) = e4| op(e1,e1) = e4| op(e1,e2) = e4| op(e1,e3) = e4| op(e1,e4) = e4 )& ( op(e0,e1) = e4| op(e1,e1) = e4| op(e2,e1) = e4| op(e3,e1) = e4| op(e4,e1) = e4 )& ( op(e2,e0) = e0| op(e2,e1) = e0| op(e2,e2) = e0| op(e2,e3) = e0| op(e2,e4) = e0 )& ( op(e0,e2) = e0| op(e1,e2) = e0| op(e2,e2) = e0| op(e3,e2) = e0| op(e4,e2) = e0 )& ( op(e2,e0) = e1| op(e2,e1) = e1| op(e2,e2) = e1| op(e2,e3) = e1| op(e2,e4) = e1 )& ( op(e0,e2) = e1| op(e1,e2) = e1| op(e2,e2) = e1| op(e3,e2) = e1| op(e4,e2) = e1 )& ( op(e2,e0) = e2| op(e2,e1) = e2| op(e2,e2) = e2| op(e2,e3) = e2| op(e2,e4) = e2 )& ( op(e0,e2) = e2| op(e1,e2) = e2| op(e2,e2) = e2| op(e3,e2) = e2| op(e4,e2) = e2 )& ( op(e2,e0) = e3| op(e2,e1) = e3| op(e2,e2) = e3| op(e2,e3) = e3| op(e2,e4) = e3 )& ( op(e0,e2) = e3| op(e1,e2) = e3| op(e2,e2) = e3| op(e3,e2) = e3| op(e4,e2) = e3 )& ( op(e2,e0) = e4| op(e2,e1) = e4| op(e2,e2) = e4| op(e2,e3) = e4| op(e2,e4) = e4 )& ( op(e0,e2) = e4| op(e1,e2) = e4| op(e2,e2) = e4| op(e3,e2) = e4| op(e4,e2) = e4 )& ( op(e3,e0) = e0| op(e3,e1) = e0| op(e3,e2) = e0| op(e3,e3) = e0| op(e3,e4) = e0 )& ( op(e0,e3) = e0| op(e1,e3) = e0| op(e2,e3) = e0| op(e3,e3) = e0| op(e4,e3) = e0 )& ( op(e3,e0) = e1| op(e3,e1) = e1| op(e3,e2) = e1| op(e3,e3) = e1| op(e3,e4) = e1 )& ( op(e0,e3) = e1| op(e1,e3) = e1| op(e2,e3) = e1| op(e3,e3) = e1| op(e4,e3) = e1 )& ( op(e3,e0) = e2| op(e3,e1) = e2| op(e3,e2) = e2| op(e3,e3) = e2| op(e3,e4) = e2 )& ( op(e0,e3) = e2| op(e1,e3) = e2| op(e2,e3) = e2| op(e3,e3) = e2| op(e4,e3) = e2 )& ( op(e3,e0) = e3| op(e3,e1) = e3| op(e3,e2) = e3| op(e3,e3) = e3| op(e3,e4) = e3 )& ( op(e0,e3) = e3| op(e1,e3) = e3| op(e2,e3) = e3| op(e3,e3) = e3| op(e4,e3) = e3 )& ( op(e3,e0) = e4| op(e3,e1) = e4| op(e3,e2) = e4| op(e3,e3) = e4| op(e3,e4) = e4 )& ( op(e0,e3) = e4| op(e1,e3) = e4| op(e2,e3) = e4| op(e3,e3) = e4| op(e4,e3) = e4 )& ( op(e4,e0) = e0| op(e4,e1) = e0| op(e4,e2) = e0| op(e4,e3) = e0| op(e4,e4) = e0 )& ( op(e0,e4) = e0| op(e1,e4) = e0| op(e2,e4) = e0| op(e3,e4) = e0| op(e4,e4) = e0 )& ( op(e4,e0) = e1| op(e4,e1) = e1| op(e4,e2) = e1| op(e4,e3) = e1| op(e4,e4) = e1 )& ( op(e0,e4) = e1| op(e1,e4) = e1| op(e2,e4) = e1| op(e3,e4) = e1| op(e4,e4) = e1 )& ( op(e4,e0) = e2| op(e4,e1) = e2| op(e4,e2) = e2| op(e4,e3) = e2| op(e4,e4) = e2 )& ( op(e0,e4) = e2| op(e1,e4) = e2| op(e2,e4) = e2| op(e3,e4) = e2| op(e4,e4) = e2 )& ( op(e4,e0) = e3| op(e4,e1) = e3| op(e4,e2) = e3| op(e4,e3) = e3| op(e4,e4) = e3 )& ( op(e0,e4) = e3| op(e1,e4) = e3| op(e2,e4) = e3| op(e3,e4) = e3| op(e4,e4) = e3 )& ( op(e4,e0) = e4| op(e4,e1) = e4| op(e4,e2) = e4| op(e4,e3) = e4| op(e4,e4) = e4 )& ( op(e0,e4) = e4| op(e1,e4) = e4| op(e2,e4) = e4| op(e3,e4) = e4| op(e4,e4) = e4 ) ) ),
% 0.15/5.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.65 fof(f5,negated_conjecture,(
% 0.15/5.65 ~(( ( ( op(e0,e0) = e0& op(e0,e0) = e0& op(e0,e0) != e0 )| ( op(e0,e0) = e1& op(e1,e1) = e0& op(e0,e1) != e0 )| ( op(e0,e0) = e2& op(e2,e2) = e0& op(e0,e2) != e0 )| ( op(e0,e0) = e3& op(e3,e3) = e0& op(e0,e3) != e0 )| ( op(e0,e0) = e4& op(e4,e4) = e0& op(e0,e4) != e0 )| ( op(e1,e1) = e0& op(e0,e0) = e1& op(e1,e0) != e1 )| ( op(e1,e1) = e1& op(e1,e1) = e1& op(e1,e1) != e1 )| ( op(e1,e1) = e2& op(e2,e2) = e1& op(e1,e2) != e1 )| ( op(e1,e1) = e3& op(e3,e3) = e1& op(e1,e3) != e1 )| ( op(e1,e1) = e4& op(e4,e4) = e1& op(e1,e4) != e1 )| ( op(e2,e2) = e0& op(e0,e0) = e2& op(e2,e0) != e2 )| ( op(e2,e2) = e1& op(e1,e1) = e2& op(e2,e1) != e2 )| ( op(e2,e2) = e2& op(e2,e2) = e2& op(e2,e2) != e2 )| ( op(e2,e2) = e3& op(e3,e3) = e2& op(e2,e3) != e2 )| ( op(e2,e2) = e4& op(e4,e4) = e2& op(e2,e4) != e2 )| ( op(e3,e3) = e0& op(e0,e0) = e3& op(e3,e0) != e3 )| ( op(e3,e3) = e1& op(e1,e1) = e3& op(e3,e1) != e3 )| ( op(e3,e3) = e2& op(e2,e2) = e3& op(e3,e2) != e3 )| ( op(e3,e3) = e3& op(e3,e3) = e3& op(e3,e3) != e3 )| ( op(e3,e3) = e4& op(e4,e4) = e3& op(e3,e4) != e3 )| ( op(e4,e4) = e0& op(e0,e0) = e4& op(e4,e0) != e4 )| ( op(e4,e4) = e1& op(e1,e1) = e4& op(e4,e1) != e4 )| ( op(e4,e4) = e2& op(e2,e2) = e4& op(e4,e2) != e4 )| ( op(e4,e4) = e3& op(e3,e3) = e4& op(e4,e3) != e4 )| ( op(e4,e4) = e4& op(e4,e4) = e4& op(e4,e4) != e4 ) )& ( op(e0,e0) = e0| op(e0,e0) = e1| op(e0,e0) = e2| op(e0,e0) = e3| op(e0,e0) = e4 )& ( op(e0,e1) = e0| op(e0,e1) = e1| op(e0,e1) = e2| op(e0,e1) = e3| op(e0,e1) = e4 )& ( op(e0,e2) = e0| op(e0,e2) = e1| op(e0,e2) = e2| op(e0,e2) = e3| op(e0,e2) = e4 )& ( op(e0,e3) = e0| op(e0,e3) = e1| op(e0,e3) = e2| op(e0,e3) = e3| op(e0,e3) = e4 )& ( op(e0,e4) = e0| op(e0,e4) = e1| op(e0,e4) = e2| op(e0,e4) = e3| op(e0,e4) = e4 )& ( op(e1,e0) = e0| op(e1,e0) = e1| op(e1,e0) = e2| op(e1,e0) = e3| op(e1,e0) = e4 )& ( op(e1,e1) = e0| op(e1,e1) = e1| op(e1,e1) = e2| op(e1,e1) = e3| op(e1,e1) = e4 )& ( op(e1,e2) = e0| op(e1,e2) = e1| op(e1,e2) = e2| op(e1,e2) = e3| op(e1,e2) = e4 )& ( op(e1,e3) = e0| op(e1,e3) = e1| op(e1,e3) = e2| op(e1,e3) = e3| op(e1,e3) = e4 )& ( op(e1,e4) = e0| op(e1,e4) = e1| op(e1,e4) = e2| op(e1,e4) = e3| op(e1,e4) = e4 )& ( op(e2,e0) = e0| op(e2,e0) = e1| op(e2,e0) = e2| op(e2,e0) = e3| op(e2,e0) = e4 )& ( op(e2,e1) = e0| op(e2,e1) = e1| op(e2,e1) = e2| op(e2,e1) = e3| op(e2,e1) = e4 )& ( op(e2,e2) = e0| op(e2,e2) = e1| op(e2,e2) = e2| op(e2,e2) = e3| op(e2,e2) = e4 )& ( op(e2,e3) = e0| op(e2,e3) = e1| op(e2,e3) = e2| op(e2,e3) = e3| op(e2,e3) = e4 )& ( op(e2,e4) = e0| op(e2,e4) = e1| op(e2,e4) = e2| op(e2,e4) = e3| op(e2,e4) = e4 )& ( op(e3,e0) = e0| op(e3,e0) = e1| op(e3,e0) = e2| op(e3,e0) = e3| op(e3,e0) = e4 )& ( op(e3,e1) = e0| op(e3,e1) = e1| op(e3,e1) = e2| op(e3,e1) = e3| op(e3,e1) = e4 )& ( op(e3,e2) = e0| op(e3,e2) = e1| op(e3,e2) = e2| op(e3,e2) = e3| op(e3,e2) = e4 )& ( op(e3,e3) = e0| op(e3,e3) = e1| op(e3,e3) = e2| op(e3,e3) = e3| op(e3,e3) = e4 )& ( op(e3,e4) = e0| op(e3,e4) = e1| op(e3,e4) = e2| op(e3,e4) = e3| op(e3,e4) = e4 )& ( op(e4,e0) = e0| op(e4,e0) = e1| op(e4,e0) = e2| op(e4,e0) = e3| op(e4,e0) = e4 )& ( op(e4,e1) = e0| op(e4,e1) = e1| op(e4,e1) = e2| op(e4,e1) = e3| op(e4,e1) = e4 )& ( op(e4,e2) = e0| op(e4,e2) = e1| op(e4,e2) = e2| op(e4,e2) = e3| op(e4,e2) = e4 )& ( op(e4,e3) = e0| op(e4,e3) = e1| op(e4,e3) = e2| op(e4,e3) = e3| op(e4,e3) = e4 )& ( op(e4,e4) = e0| op(e4,e4) = e1| op(e4,e4) = e2| op(e4,e4) = e3| op(e4,e4) = e4 )& op(unit,e0) = e0& op(e0,unit) = e0& op(unit,e1) = e1& op(e1,unit) = e1& op(unit,e2) = e2& op(e2,unit) = e2& op(unit,e3) = e3& op(e3,unit) = e3& op(unit,e4) = e4& op(e4,unit) = e4& ( unit = e0| unit = e1| unit = e2| unit = e3| unit = e4 )& ( op(e0,e0) = e0| op(e0,e1) = e0| op(e0,e2) = e0| op(e0,e3) = e0| op(e0,e4) = e0 )& ( op(e0,e0) = e0| op(e1,e0) = e0| op(e2,e0) = e0| op(e3,e0) = e0| op(e4,e0) = e0 )& ( op(e0,e0) = e1| op(e0,e1) = e1| op(e0,e2) = e1| op(e0,e3) = e1| op(e0,e4) = e1 )& ( op(e0,e0) = e1| op(e1,e0) = e1| op(e2,e0) = e1| op(e3,e0) = e1| op(e4,e0) = e1 )& ( op(e0,e0) = e2| op(e0,e1) = e2| op(e0,e2) = e2| op(e0,e3) = e2| op(e0,e4) = e2 )& ( op(e0,e0) = e2| op(e1,e0) = e2| op(e2,e0) = e2| op(e3,e0) = e2| op(e4,e0) = e2 )& ( op(e0,e0) = e3| op(e0,e1) = e3| op(e0,e2) = e3| op(e0,e3) = e3| op(e0,e4) = e3 )& ( op(e0,e0) = e3| op(e1,e0) = e3| op(e2,e0) = e3| op(e3,e0) = e3| op(e4,e0) = e3 )& ( op(e0,e0) = e4| op(e0,e1) = e4| op(e0,e2) = e4| op(e0,e3) = e4| op(e0,e4) = e4 )& ( op(e0,e0) = e4| op(e1,e0) = e4| op(e2,e0) = e4| op(e3,e0) = e4| op(e4,e0) = e4 )& ( op(e1,e0) = e0| op(e1,e1) = e0| op(e1,e2) = e0| op(e1,e3) = e0| op(e1,e4) = e0 )& ( op(e0,e1) = e0| op(e1,e1) = e0| op(e2,e1) = e0| op(e3,e1) = e0| op(e4,e1) = e0 )& ( op(e1,e0) = e1| op(e1,e1) = e1| op(e1,e2) = e1| op(e1,e3) = e1| op(e1,e4) = e1 )& ( op(e0,e1) = e1| op(e1,e1) = e1| op(e2,e1) = e1| op(e3,e1) = e1| op(e4,e1) = e1 )& ( op(e1,e0) = e2| op(e1,e1) = e2| op(e1,e2) = e2| op(e1,e3) = e2| op(e1,e4) = e2 )& ( op(e0,e1) = e2| op(e1,e1) = e2| op(e2,e1) = e2| op(e3,e1) = e2| op(e4,e1) = e2 )& ( op(e1,e0) = e3| op(e1,e1) = e3| op(e1,e2) = e3| op(e1,e3) = e3| op(e1,e4) = e3 )& ( op(e0,e1) = e3| op(e1,e1) = e3| op(e2,e1) = e3| op(e3,e1) = e3| op(e4,e1) = e3 )& ( op(e1,e0) = e4| op(e1,e1) = e4| op(e1,e2) = e4| op(e1,e3) = e4| op(e1,e4) = e4 )& ( op(e0,e1) = e4| op(e1,e1) = e4| op(e2,e1) = e4| op(e3,e1) = e4| op(e4,e1) = e4 )& ( op(e2,e0) = e0| op(e2,e1) = e0| op(e2,e2) = e0| op(e2,e3) = e0| op(e2,e4) = e0 )& ( op(e0,e2) = e0| op(e1,e2) = e0| op(e2,e2) = e0| op(e3,e2) = e0| op(e4,e2) = e0 )& ( op(e2,e0) = e1| op(e2,e1) = e1| op(e2,e2) = e1| op(e2,e3) = e1| op(e2,e4) = e1 )& ( op(e0,e2) = e1| op(e1,e2) = e1| op(e2,e2) = e1| op(e3,e2) = e1| op(e4,e2) = e1 )& ( op(e2,e0) = e2| op(e2,e1) = e2| op(e2,e2) = e2| op(e2,e3) = e2| op(e2,e4) = e2 )& ( op(e0,e2) = e2| op(e1,e2) = e2| op(e2,e2) = e2| op(e3,e2) = e2| op(e4,e2) = e2 )& ( op(e2,e0) = e3| op(e2,e1) = e3| op(e2,e2) = e3| op(e2,e3) = e3| op(e2,e4) = e3 )& ( op(e0,e2) = e3| op(e1,e2) = e3| op(e2,e2) = e3| op(e3,e2) = e3| op(e4,e2) = e3 )& ( op(e2,e0) = e4| op(e2,e1) = e4| op(e2,e2) = e4| op(e2,e3) = e4| op(e2,e4) = e4 )& ( op(e0,e2) = e4| op(e1,e2) = e4| op(e2,e2) = e4| op(e3,e2) = e4| op(e4,e2) = e4 )& ( op(e3,e0) = e0| op(e3,e1) = e0| op(e3,e2) = e0| op(e3,e3) = e0| op(e3,e4) = e0 )& ( op(e0,e3) = e0| op(e1,e3) = e0| op(e2,e3) = e0| op(e3,e3) = e0| op(e4,e3) = e0 )& ( op(e3,e0) = e1| op(e3,e1) = e1| op(e3,e2) = e1| op(e3,e3) = e1| op(e3,e4) = e1 )& ( op(e0,e3) = e1| op(e1,e3) = e1| op(e2,e3) = e1| op(e3,e3) = e1| op(e4,e3) = e1 )& ( op(e3,e0) = e2| op(e3,e1) = e2| op(e3,e2) = e2| op(e3,e3) = e2| op(e3,e4) = e2 )& ( op(e0,e3) = e2| op(e1,e3) = e2| op(e2,e3) = e2| op(e3,e3) = e2| op(e4,e3) = e2 )& ( op(e3,e0) = e3| op(e3,e1) = e3| op(e3,e2) = e3| op(e3,e3) = e3| op(e3,e4) = e3 )& ( op(e0,e3) = e3| op(e1,e3) = e3| op(e2,e3) = e3| op(e3,e3) = e3| op(e4,e3) = e3 )& ( op(e3,e0) = e4| op(e3,e1) = e4| op(e3,e2) = e4| op(e3,e3) = e4| op(e3,e4) = e4 )& ( op(e0,e3) = e4| op(e1,e3) = e4| op(e2,e3) = e4| op(e3,e3) = e4| op(e4,e3) = e4 )& ( op(e4,e0) = e0| op(e4,e1) = e0| op(e4,e2) = e0| op(e4,e3) = e0| op(e4,e4) = e0 )& ( op(e0,e4) = e0| op(e1,e4) = e0| op(e2,e4) = e0| op(e3,e4) = e0| op(e4,e4) = e0 )& ( op(e4,e0) = e1| op(e4,e1) = e1| op(e4,e2) = e1| op(e4,e3) = e1| op(e4,e4) = e1 )& ( op(e0,e4) = e1| op(e1,e4) = e1| op(e2,e4) = e1| op(e3,e4) = e1| op(e4,e4) = e1 )& ( op(e4,e0) = e2| op(e4,e1) = e2| op(e4,e2) = e2| op(e4,e3) = e2| op(e4,e4) = e2 )& ( op(e0,e4) = e2| op(e1,e4) = e2| op(e2,e4) = e2| op(e3,e4) = e2| op(e4,e4) = e2 )& ( op(e4,e0) = e3| op(e4,e1) = e3| op(e4,e2) = e3| op(e4,e3) = e3| op(e4,e4) = e3 )& ( op(e0,e4) = e3| op(e1,e4) = e3| op(e2,e4) = e3| op(e3,e4) = e3| op(e4,e4) = e3 )& ( op(e4,e0) = e4| op(e4,e1) = e4| op(e4,e2) = e4| op(e4,e3) = e4| op(e4,e4) = e4 )& ( op(e0,e4) = e4| op(e1,e4) = e4| op(e2,e4) = e4| op(e3,e4) = e4| op(e4,e4) = e4 ) ) )),
% 0.15/5.65 inference(negated_conjecture,[status(cth)],[f4])).
% 0.15/5.65 fof(f7,plain,(
% 0.15/5.65 ~e0=e2),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/5.65 fof(f16,plain,(
% 0.15/5.65 op(e0,e0)=e0),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f17,plain,(
% 0.15/5.65 op(e0,e1)=e1),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f18,plain,(
% 0.15/5.65 op(e0,e2)=e2),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f19,plain,(
% 0.15/5.65 op(e0,e3)=e3),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f20,plain,(
% 0.15/5.65 op(e0,e4)=e4),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f21,plain,(
% 0.15/5.65 op(e1,e0)=e1),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f22,plain,(
% 0.15/5.65 op(e1,e1)=e2),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f23,plain,(
% 0.15/5.65 op(e1,e2)=e3),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f24,plain,(
% 0.15/5.65 op(e1,e3)=e4),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f25,plain,(
% 0.15/5.65 op(e1,e4)=e0),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f26,plain,(
% 0.15/5.65 op(e2,e0)=e2),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f27,plain,(
% 0.15/5.65 op(e2,e1)=e4),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f28,plain,(
% 0.15/5.65 op(e2,e2)=e1),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f29,plain,(
% 0.15/5.65 op(e2,e3)=e0),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f30,plain,(
% 0.15/5.65 op(e2,e4)=e3),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f31,plain,(
% 0.15/5.65 op(e3,e0)=e3),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f32,plain,(
% 0.15/5.65 op(e3,e1)=e0),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.65 fof(f33,plain,(
% 0.15/5.65 op(e3,e2)=e4),
% 0.15/5.65 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.66 fof(f34,plain,(
% 0.15/5.66 op(e3,e3)=e1),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.66 fof(f35,plain,(
% 0.15/5.66 op(e3,e4)=e2),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.66 fof(f36,plain,(
% 0.15/5.66 op(e4,e0)=e4),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.66 fof(f37,plain,(
% 0.15/5.66 op(e4,e1)=e3),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.66 fof(f38,plain,(
% 0.15/5.66 op(e4,e2)=e0),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.66 fof(f39,plain,(
% 0.15/5.66 op(e4,e3)=e2),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.66 fof(f40,plain,(
% 0.15/5.66 op(e4,e4)=e1),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/5.66 fof(f41,plain,(
% 0.15/5.66 unit=e0),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/5.66 fof(f42,plain,(
% 0.15/5.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3))|((((~op(e0,e4)=e3&~op(e1,e4)=e3)&~op(e2,e4)=e3)&~op(e3,e4)=e3)&~op(e4,e4)=e3))|((((~op(e4,e0)=e4&~op(e4,e1)=e4)&~op(e4,e2)=e4)&~op(e4,e3)=e4)&~op(e4,e4)=e4))|((((~op(e0,e4)=e4&~op(e1,e4)=e4)&~op(e2,e4)=e4)&~op(e3,e4)=e4)&~op(e4,e4)=e4))),
% 0.15/5.66 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.15/5.66 fof(f43,definition,(
% 0.15/5.66 sP0_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3))|((((~op(e0,e4)=e3&~op(e1,e4)=e3)&~op(e2,e4)=e3)&~op(e3,e4)=e3)&~op(e4,e4)=e3))|((((~op(e4,e0)=e4&~op(e4,e1)=e4)&~op(e4,e2)=e4)&~op(e4,e3)=e4)&~op(e4,e4)=e4))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.15/5.66 fof(f44,plain,(
% 0.15/5.66 sP0_prd|((((~op(e0,e4)=e4&~op(e1,e4)=e4)&~op(e2,e4)=e4)&~op(e3,e4)=e4)&~op(e4,e4)=e4)),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f42,f43])).
% 0.15/5.66 fof(f45,plain,(
% 0.15/5.66 sP0_prd|~op(e0,e4)=e4),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f44])).
% 0.15/5.66 fof(f50,definition,(
% 0.15/5.66 sP1_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3))|((((~op(e0,e4)=e3&~op(e1,e4)=e3)&~op(e2,e4)=e3)&~op(e3,e4)=e3)&~op(e4,e4)=e3))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.15/5.66 fof(f51,plain,(
% 0.15/5.66 sP0_prd<=>(sP1_prd|((((~op(e4,e0)=e4&~op(e4,e1)=e4)&~op(e4,e2)=e4)&~op(e4,e3)=e4)&~op(e4,e4)=e4))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f43,f50])).
% 0.15/5.66 fof(f52,plain,(
% 0.15/5.66 (~sP0_prd|(sP1_prd|((((~op(e4,e0)=e4&~op(e4,e1)=e4)&~op(e4,e2)=e4)&~op(e4,e3)=e4)&~op(e4,e4)=e4)))&(sP0_prd|(~sP1_prd&((((op(e4,e0)=e4|op(e4,e1)=e4)|op(e4,e2)=e4)|op(e4,e3)=e4)|op(e4,e4)=e4)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f51])).
% 0.15/5.66 fof(f53,plain,(
% 0.15/5.66 ~sP0_prd|sP1_prd|~op(e4,e0)=e4),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f52])).
% 0.15/5.66 fof(f60,definition,(
% 0.15/5.66 sP2_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.15/5.66 fof(f61,plain,(
% 0.15/5.66 sP1_prd<=>(sP2_prd|((((~op(e0,e4)=e3&~op(e1,e4)=e3)&~op(e2,e4)=e3)&~op(e3,e4)=e3)&~op(e4,e4)=e3))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f50,f60])).
% 0.15/5.66 fof(f62,plain,(
% 0.15/5.66 (~sP1_prd|(sP2_prd|((((~op(e0,e4)=e3&~op(e1,e4)=e3)&~op(e2,e4)=e3)&~op(e3,e4)=e3)&~op(e4,e4)=e3)))&(sP1_prd|(~sP2_prd&((((op(e0,e4)=e3|op(e1,e4)=e3)|op(e2,e4)=e3)|op(e3,e4)=e3)|op(e4,e4)=e3)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f61])).
% 0.15/5.66 fof(f65,plain,(
% 0.15/5.66 ~sP1_prd|sP2_prd|~op(e2,e4)=e3),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f62])).
% 0.15/5.66 fof(f70,definition,(
% 0.15/5.66 sP3_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.15/5.66 fof(f71,plain,(
% 0.15/5.66 sP2_prd<=>(sP3_prd|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f60,f70])).
% 0.15/5.66 fof(f72,plain,(
% 0.15/5.66 (~sP2_prd|(sP3_prd|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3)))&(sP2_prd|(~sP3_prd&((((op(e4,e0)=e3|op(e4,e1)=e3)|op(e4,e2)=e3)|op(e4,e3)=e3)|op(e4,e4)=e3)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f71])).
% 0.15/5.66 fof(f74,plain,(
% 0.15/5.66 ~sP2_prd|sP3_prd|~op(e4,e1)=e3),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f72])).
% 0.15/5.66 fof(f80,definition,(
% 0.15/5.66 sP4_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 0.15/5.66 fof(f81,plain,(
% 0.15/5.66 sP3_prd<=>(sP4_prd|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f70,f80])).
% 0.15/5.66 fof(f82,plain,(
% 0.15/5.66 (~sP3_prd|(sP4_prd|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2)))&(sP3_prd|(~sP4_prd&((((op(e0,e4)=e2|op(e1,e4)=e2)|op(e2,e4)=e2)|op(e3,e4)=e2)|op(e4,e4)=e2)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f81])).
% 0.15/5.66 fof(f86,plain,(
% 0.15/5.66 ~sP3_prd|sP4_prd|~op(e3,e4)=e2),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f82])).
% 0.15/5.66 fof(f90,definition,(
% 0.15/5.66 sP5_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.15/5.66 fof(f91,plain,(
% 0.15/5.66 sP4_prd<=>(sP5_prd|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f80,f90])).
% 0.15/5.66 fof(f92,plain,(
% 0.15/5.66 (~sP4_prd|(sP5_prd|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2)))&(sP4_prd|(~sP5_prd&((((op(e4,e0)=e2|op(e4,e1)=e2)|op(e4,e2)=e2)|op(e4,e3)=e2)|op(e4,e4)=e2)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f91])).
% 0.15/5.66 fof(f96,plain,(
% 0.15/5.66 ~sP4_prd|sP5_prd|~op(e4,e3)=e2),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f92])).
% 0.15/5.66 fof(f100,definition,(
% 0.15/5.66 sP6_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 0.15/5.66 fof(f101,plain,(
% 0.15/5.66 sP5_prd<=>(sP6_prd|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f90,f100])).
% 0.15/5.66 fof(f102,plain,(
% 0.15/5.66 (~sP5_prd|(sP6_prd|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1)))&(sP5_prd|(~sP6_prd&((((op(e0,e4)=e1|op(e1,e4)=e1)|op(e2,e4)=e1)|op(e3,e4)=e1)|op(e4,e4)=e1)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f101])).
% 0.15/5.66 fof(f107,plain,(
% 0.15/5.66 ~sP5_prd|sP6_prd|~op(e4,e4)=e1),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f102])).
% 0.15/5.66 fof(f110,definition,(
% 0.15/5.66 sP7_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 0.15/5.66 fof(f111,plain,(
% 0.15/5.66 sP6_prd<=>(sP7_prd|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f100,f110])).
% 0.15/5.66 fof(f112,plain,(
% 0.15/5.66 (~sP6_prd|(sP7_prd|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1)))&(sP6_prd|(~sP7_prd&((((op(e4,e0)=e1|op(e4,e1)=e1)|op(e4,e2)=e1)|op(e4,e3)=e1)|op(e4,e4)=e1)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f111])).
% 0.15/5.66 fof(f117,plain,(
% 0.15/5.66 ~sP6_prd|sP7_prd|~op(e4,e4)=e1),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f112])).
% 0.15/5.66 fof(f120,definition,(
% 0.15/5.66 sP8_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 0.15/5.66 fof(f121,plain,(
% 0.15/5.66 sP7_prd<=>(sP8_prd|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f110,f120])).
% 0.15/5.66 fof(f122,plain,(
% 0.15/5.66 (~sP7_prd|(sP8_prd|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0)))&(sP7_prd|(~sP8_prd&((((op(e0,e4)=e0|op(e1,e4)=e0)|op(e2,e4)=e0)|op(e3,e4)=e0)|op(e4,e4)=e0)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f121])).
% 0.15/5.66 fof(f124,plain,(
% 0.15/5.66 ~sP7_prd|sP8_prd|~op(e1,e4)=e0),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f122])).
% 0.15/5.66 fof(f130,definition,(
% 0.15/5.66 sP9_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 0.15/5.66 fof(f131,plain,(
% 0.15/5.66 sP8_prd<=>(sP9_prd|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f120,f130])).
% 0.15/5.66 fof(f132,plain,(
% 0.15/5.66 (~sP8_prd|(sP9_prd|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0)))&(sP8_prd|(~sP9_prd&((((op(e4,e0)=e0|op(e4,e1)=e0)|op(e4,e2)=e0)|op(e4,e3)=e0)|op(e4,e4)=e0)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f131])).
% 0.15/5.66 fof(f135,plain,(
% 0.15/5.66 ~sP8_prd|sP9_prd|~op(e4,e2)=e0),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f132])).
% 0.15/5.66 fof(f140,definition,(
% 0.15/5.66 sP10_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 0.15/5.66 fof(f141,plain,(
% 0.15/5.66 sP9_prd<=>(sP10_prd|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f130,f140])).
% 0.15/5.66 fof(f142,plain,(
% 0.15/5.66 (~sP9_prd|(sP10_prd|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4)))&(sP9_prd|(~sP10_prd&((((op(e0,e3)=e4|op(e1,e3)=e4)|op(e2,e3)=e4)|op(e3,e3)=e4)|op(e4,e3)=e4)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f141])).
% 0.15/5.66 fof(f144,plain,(
% 0.15/5.66 ~sP9_prd|sP10_prd|~op(e1,e3)=e4),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f142])).
% 0.15/5.66 fof(f150,definition,(
% 0.15/5.66 sP11_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 0.15/5.66 fof(f151,plain,(
% 0.15/5.66 sP10_prd<=>(sP11_prd|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f140,f150])).
% 0.15/5.66 fof(f152,plain,(
% 0.15/5.66 (~sP10_prd|(sP11_prd|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4)))&(sP10_prd|(~sP11_prd&((((op(e3,e0)=e4|op(e3,e1)=e4)|op(e3,e2)=e4)|op(e3,e3)=e4)|op(e3,e4)=e4)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f151])).
% 0.15/5.66 fof(f155,plain,(
% 0.15/5.66 ~sP10_prd|sP11_prd|~op(e3,e2)=e4),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f152])).
% 0.15/5.66 fof(f160,definition,(
% 0.15/5.66 sP12_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 0.15/5.66 fof(f161,plain,(
% 0.15/5.66 sP11_prd<=>(sP12_prd|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f150,f160])).
% 0.15/5.66 fof(f162,plain,(
% 0.15/5.66 (~sP11_prd|(sP12_prd|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3)))&(sP11_prd|(~sP12_prd&((((op(e0,e3)=e3|op(e1,e3)=e3)|op(e2,e3)=e3)|op(e3,e3)=e3)|op(e4,e3)=e3)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f161])).
% 0.15/5.66 fof(f163,plain,(
% 0.15/5.66 ~sP11_prd|sP12_prd|~op(e0,e3)=e3),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f162])).
% 0.15/5.66 fof(f170,definition,(
% 0.15/5.66 sP13_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 0.15/5.66 fof(f171,plain,(
% 0.15/5.66 sP12_prd<=>(sP13_prd|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f160,f170])).
% 0.15/5.66 fof(f172,plain,(
% 0.15/5.66 (~sP12_prd|(sP13_prd|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3)))&(sP12_prd|(~sP13_prd&((((op(e3,e0)=e3|op(e3,e1)=e3)|op(e3,e2)=e3)|op(e3,e3)=e3)|op(e3,e4)=e3)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f171])).
% 0.15/5.66 fof(f173,plain,(
% 0.15/5.66 ~sP12_prd|sP13_prd|~op(e3,e0)=e3),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f172])).
% 0.15/5.66 fof(f180,definition,(
% 0.15/5.66 sP14_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 0.15/5.66 fof(f181,plain,(
% 0.15/5.66 sP13_prd<=>(sP14_prd|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f170,f180])).
% 0.15/5.66 fof(f182,plain,(
% 0.15/5.66 (~sP13_prd|(sP14_prd|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2)))&(sP13_prd|(~sP14_prd&((((op(e0,e3)=e2|op(e1,e3)=e2)|op(e2,e3)=e2)|op(e3,e3)=e2)|op(e4,e3)=e2)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f181])).
% 0.15/5.66 fof(f187,plain,(
% 0.15/5.66 ~sP13_prd|sP14_prd|~op(e4,e3)=e2),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f182])).
% 0.15/5.66 fof(f190,definition,(
% 0.15/5.66 sP15_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 0.15/5.66 fof(f191,plain,(
% 0.15/5.66 sP14_prd<=>(sP15_prd|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f180,f190])).
% 0.15/5.66 fof(f192,plain,(
% 0.15/5.66 (~sP14_prd|(sP15_prd|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2)))&(sP14_prd|(~sP15_prd&((((op(e3,e0)=e2|op(e3,e1)=e2)|op(e3,e2)=e2)|op(e3,e3)=e2)|op(e3,e4)=e2)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f191])).
% 0.15/5.66 fof(f197,plain,(
% 0.15/5.66 ~sP14_prd|sP15_prd|~op(e3,e4)=e2),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f192])).
% 0.15/5.66 fof(f200,definition,(
% 0.15/5.66 sP16_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP16_prd])],[])).
% 0.15/5.66 fof(f201,plain,(
% 0.15/5.66 sP15_prd<=>(sP16_prd|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f190,f200])).
% 0.15/5.66 fof(f202,plain,(
% 0.15/5.66 (~sP15_prd|(sP16_prd|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1)))&(sP15_prd|(~sP16_prd&((((op(e0,e3)=e1|op(e1,e3)=e1)|op(e2,e3)=e1)|op(e3,e3)=e1)|op(e4,e3)=e1)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f201])).
% 0.15/5.66 fof(f206,plain,(
% 0.15/5.66 ~sP15_prd|sP16_prd|~op(e3,e3)=e1),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f202])).
% 0.15/5.66 fof(f210,definition,(
% 0.15/5.66 sP17_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 0.15/5.66 fof(f211,plain,(
% 0.15/5.66 sP16_prd<=>(sP17_prd|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f200,f210])).
% 0.15/5.66 fof(f212,plain,(
% 0.15/5.66 (~sP16_prd|(sP17_prd|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1)))&(sP16_prd|(~sP17_prd&((((op(e3,e0)=e1|op(e3,e1)=e1)|op(e3,e2)=e1)|op(e3,e3)=e1)|op(e3,e4)=e1)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f211])).
% 0.15/5.66 fof(f216,plain,(
% 0.15/5.66 ~sP16_prd|sP17_prd|~op(e3,e3)=e1),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f212])).
% 0.15/5.66 fof(f220,definition,(
% 0.15/5.66 sP18_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 0.15/5.66 fof(f221,plain,(
% 0.15/5.66 sP17_prd<=>(sP18_prd|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f210,f220])).
% 0.15/5.66 fof(f222,plain,(
% 0.15/5.66 (~sP17_prd|(sP18_prd|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0)))&(sP17_prd|(~sP18_prd&((((op(e0,e3)=e0|op(e1,e3)=e0)|op(e2,e3)=e0)|op(e3,e3)=e0)|op(e4,e3)=e0)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f221])).
% 0.15/5.66 fof(f225,plain,(
% 0.15/5.66 ~sP17_prd|sP18_prd|~op(e2,e3)=e0),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f222])).
% 0.15/5.66 fof(f230,definition,(
% 0.15/5.66 sP19_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 0.15/5.66 fof(f231,plain,(
% 0.15/5.66 sP18_prd<=>(sP19_prd|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f220,f230])).
% 0.15/5.66 fof(f232,plain,(
% 0.15/5.66 (~sP18_prd|(sP19_prd|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0)))&(sP18_prd|(~sP19_prd&((((op(e3,e0)=e0|op(e3,e1)=e0)|op(e3,e2)=e0)|op(e3,e3)=e0)|op(e3,e4)=e0)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f231])).
% 0.15/5.66 fof(f234,plain,(
% 0.15/5.66 ~sP18_prd|sP19_prd|~op(e3,e1)=e0),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f232])).
% 0.15/5.66 fof(f240,definition,(
% 0.15/5.66 sP20_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP20_prd])],[])).
% 0.15/5.66 fof(f241,plain,(
% 0.15/5.66 sP19_prd<=>(sP20_prd|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f230,f240])).
% 0.15/5.66 fof(f242,plain,(
% 0.15/5.66 (~sP19_prd|(sP20_prd|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4)))&(sP19_prd|(~sP20_prd&((((op(e0,e2)=e4|op(e1,e2)=e4)|op(e2,e2)=e4)|op(e3,e2)=e4)|op(e4,e2)=e4)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f241])).
% 0.15/5.66 fof(f246,plain,(
% 0.15/5.66 ~sP19_prd|sP20_prd|~op(e3,e2)=e4),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f242])).
% 0.15/5.66 fof(f250,definition,(
% 0.15/5.66 sP21_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 0.15/5.66 fof(f251,plain,(
% 0.15/5.66 sP20_prd<=>(sP21_prd|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f240,f250])).
% 0.15/5.66 fof(f252,plain,(
% 0.15/5.66 (~sP20_prd|(sP21_prd|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4)))&(sP20_prd|(~sP21_prd&((((op(e2,e0)=e4|op(e2,e1)=e4)|op(e2,e2)=e4)|op(e2,e3)=e4)|op(e2,e4)=e4)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f251])).
% 0.15/5.66 fof(f254,plain,(
% 0.15/5.66 ~sP20_prd|sP21_prd|~op(e2,e1)=e4),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f252])).
% 0.15/5.66 fof(f260,definition,(
% 0.15/5.66 sP22_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 0.15/5.66 fof(f261,plain,(
% 0.15/5.66 sP21_prd<=>(sP22_prd|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f250,f260])).
% 0.15/5.66 fof(f262,plain,(
% 0.15/5.66 (~sP21_prd|(sP22_prd|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3)))&(sP21_prd|(~sP22_prd&((((op(e0,e2)=e3|op(e1,e2)=e3)|op(e2,e2)=e3)|op(e3,e2)=e3)|op(e4,e2)=e3)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f261])).
% 0.15/5.66 fof(f264,plain,(
% 0.15/5.66 ~sP21_prd|sP22_prd|~op(e1,e2)=e3),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f262])).
% 0.15/5.66 fof(f270,definition,(
% 0.15/5.66 sP23_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 0.15/5.66 fof(f271,plain,(
% 0.15/5.66 sP22_prd<=>(sP23_prd|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f260,f270])).
% 0.15/5.66 fof(f272,plain,(
% 0.15/5.66 (~sP22_prd|(sP23_prd|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3)))&(sP22_prd|(~sP23_prd&((((op(e2,e0)=e3|op(e2,e1)=e3)|op(e2,e2)=e3)|op(e2,e3)=e3)|op(e2,e4)=e3)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f271])).
% 0.15/5.66 fof(f277,plain,(
% 0.15/5.66 ~sP22_prd|sP23_prd|~op(e2,e4)=e3),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f272])).
% 0.15/5.66 fof(f280,definition,(
% 0.15/5.66 sP24_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP24_prd])],[])).
% 0.15/5.66 fof(f281,plain,(
% 0.15/5.66 sP23_prd<=>(sP24_prd|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f270,f280])).
% 0.15/5.66 fof(f282,plain,(
% 0.15/5.66 (~sP23_prd|(sP24_prd|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2)))&(sP23_prd|(~sP24_prd&((((op(e0,e2)=e2|op(e1,e2)=e2)|op(e2,e2)=e2)|op(e3,e2)=e2)|op(e4,e2)=e2)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f281])).
% 0.15/5.66 fof(f283,plain,(
% 0.15/5.66 ~sP23_prd|sP24_prd|~op(e0,e2)=e2),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f282])).
% 0.15/5.66 fof(f290,definition,(
% 0.15/5.66 sP25_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP25_prd])],[])).
% 0.15/5.66 fof(f291,plain,(
% 0.15/5.66 sP24_prd<=>(sP25_prd|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f280,f290])).
% 0.15/5.66 fof(f292,plain,(
% 0.15/5.66 (~sP24_prd|(sP25_prd|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2)))&(sP24_prd|(~sP25_prd&((((op(e2,e0)=e2|op(e2,e1)=e2)|op(e2,e2)=e2)|op(e2,e3)=e2)|op(e2,e4)=e2)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f291])).
% 0.15/5.66 fof(f293,plain,(
% 0.15/5.66 ~sP24_prd|sP25_prd|~op(e2,e0)=e2),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f292])).
% 0.15/5.66 fof(f300,definition,(
% 0.15/5.66 sP26_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP26_prd])],[])).
% 0.15/5.66 fof(f301,plain,(
% 0.15/5.66 sP25_prd<=>(sP26_prd|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f290,f300])).
% 0.15/5.66 fof(f302,plain,(
% 0.15/5.66 (~sP25_prd|(sP26_prd|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1)))&(sP25_prd|(~sP26_prd&((((op(e0,e2)=e1|op(e1,e2)=e1)|op(e2,e2)=e1)|op(e3,e2)=e1)|op(e4,e2)=e1)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f301])).
% 0.15/5.66 fof(f305,plain,(
% 0.15/5.66 ~sP25_prd|sP26_prd|~op(e2,e2)=e1),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f302])).
% 0.15/5.66 fof(f310,definition,(
% 0.15/5.66 sP27_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP27_prd])],[])).
% 0.15/5.66 fof(f311,plain,(
% 0.15/5.66 sP26_prd<=>(sP27_prd|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f300,f310])).
% 0.15/5.66 fof(f312,plain,(
% 0.15/5.66 (~sP26_prd|(sP27_prd|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1)))&(sP26_prd|(~sP27_prd&((((op(e2,e0)=e1|op(e2,e1)=e1)|op(e2,e2)=e1)|op(e2,e3)=e1)|op(e2,e4)=e1)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f311])).
% 0.15/5.66 fof(f315,plain,(
% 0.15/5.66 ~sP26_prd|sP27_prd|~op(e2,e2)=e1),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f312])).
% 0.15/5.66 fof(f320,definition,(
% 0.15/5.66 sP28_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP28_prd])],[])).
% 0.15/5.66 fof(f321,plain,(
% 0.15/5.66 sP27_prd<=>(sP28_prd|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f310,f320])).
% 0.15/5.66 fof(f322,plain,(
% 0.15/5.66 (~sP27_prd|(sP28_prd|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0)))&(sP27_prd|(~sP28_prd&((((op(e0,e2)=e0|op(e1,e2)=e0)|op(e2,e2)=e0)|op(e3,e2)=e0)|op(e4,e2)=e0)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f321])).
% 0.15/5.66 fof(f327,plain,(
% 0.15/5.66 ~sP27_prd|sP28_prd|~op(e4,e2)=e0),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f322])).
% 0.15/5.66 fof(f330,definition,(
% 0.15/5.66 sP29_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP29_prd])],[])).
% 0.15/5.66 fof(f331,plain,(
% 0.15/5.66 sP28_prd<=>(sP29_prd|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f320,f330])).
% 0.15/5.66 fof(f332,plain,(
% 0.15/5.66 (~sP28_prd|(sP29_prd|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0)))&(sP28_prd|(~sP29_prd&((((op(e2,e0)=e0|op(e2,e1)=e0)|op(e2,e2)=e0)|op(e2,e3)=e0)|op(e2,e4)=e0)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f331])).
% 0.15/5.66 fof(f336,plain,(
% 0.15/5.66 ~sP28_prd|sP29_prd|~op(e2,e3)=e0),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f332])).
% 0.15/5.66 fof(f340,definition,(
% 0.15/5.66 sP30_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP30_prd])],[])).
% 0.15/5.66 fof(f341,plain,(
% 0.15/5.66 sP29_prd<=>(sP30_prd|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f330,f340])).
% 0.15/5.66 fof(f342,plain,(
% 0.15/5.66 (~sP29_prd|(sP30_prd|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4)))&(sP29_prd|(~sP30_prd&((((op(e0,e1)=e4|op(e1,e1)=e4)|op(e2,e1)=e4)|op(e3,e1)=e4)|op(e4,e1)=e4)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f341])).
% 0.15/5.66 fof(f345,plain,(
% 0.15/5.66 ~sP29_prd|sP30_prd|~op(e2,e1)=e4),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f342])).
% 0.15/5.66 fof(f350,definition,(
% 0.15/5.66 sP31_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP31_prd])],[])).
% 0.15/5.66 fof(f351,plain,(
% 0.15/5.66 sP30_prd<=>(sP31_prd|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f340,f350])).
% 0.15/5.66 fof(f352,plain,(
% 0.15/5.66 (~sP30_prd|(sP31_prd|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4)))&(sP30_prd|(~sP31_prd&((((op(e1,e0)=e4|op(e1,e1)=e4)|op(e1,e2)=e4)|op(e1,e3)=e4)|op(e1,e4)=e4)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f351])).
% 0.15/5.66 fof(f356,plain,(
% 0.15/5.66 ~sP30_prd|sP31_prd|~op(e1,e3)=e4),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f352])).
% 0.15/5.66 fof(f360,definition,(
% 0.15/5.66 sP32_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP32_prd])],[])).
% 0.15/5.66 fof(f361,plain,(
% 0.15/5.66 sP31_prd<=>(sP32_prd|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f350,f360])).
% 0.15/5.66 fof(f362,plain,(
% 0.15/5.66 (~sP31_prd|(sP32_prd|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3)))&(sP31_prd|(~sP32_prd&((((op(e0,e1)=e3|op(e1,e1)=e3)|op(e2,e1)=e3)|op(e3,e1)=e3)|op(e4,e1)=e3)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f361])).
% 0.15/5.66 fof(f367,plain,(
% 0.15/5.66 ~sP31_prd|sP32_prd|~op(e4,e1)=e3),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f362])).
% 0.15/5.66 fof(f370,definition,(
% 0.15/5.66 sP33_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP33_prd])],[])).
% 0.15/5.66 fof(f371,plain,(
% 0.15/5.66 sP32_prd<=>(sP33_prd|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f360,f370])).
% 0.15/5.66 fof(f372,plain,(
% 0.15/5.66 (~sP32_prd|(sP33_prd|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3)))&(sP32_prd|(~sP33_prd&((((op(e1,e0)=e3|op(e1,e1)=e3)|op(e1,e2)=e3)|op(e1,e3)=e3)|op(e1,e4)=e3)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f371])).
% 0.15/5.66 fof(f375,plain,(
% 0.15/5.66 ~sP32_prd|sP33_prd|~op(e1,e2)=e3),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f372])).
% 0.15/5.66 fof(f380,definition,(
% 0.15/5.66 sP34_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP34_prd])],[])).
% 0.15/5.66 fof(f381,plain,(
% 0.15/5.66 sP33_prd<=>(sP34_prd|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f370,f380])).
% 0.15/5.66 fof(f382,plain,(
% 0.15/5.66 (~sP33_prd|(sP34_prd|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2)))&(sP33_prd|(~sP34_prd&((((op(e0,e1)=e2|op(e1,e1)=e2)|op(e2,e1)=e2)|op(e3,e1)=e2)|op(e4,e1)=e2)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f381])).
% 0.15/5.66 fof(f384,plain,(
% 0.15/5.66 ~sP33_prd|sP34_prd|~op(e1,e1)=e2),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f382])).
% 0.15/5.66 fof(f390,definition,(
% 0.15/5.66 sP35_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP35_prd])],[])).
% 0.15/5.66 fof(f391,plain,(
% 0.15/5.66 sP34_prd<=>(sP35_prd|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f380,f390])).
% 0.15/5.66 fof(f392,plain,(
% 0.15/5.66 (~sP34_prd|(sP35_prd|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2)))&(sP34_prd|(~sP35_prd&((((op(e1,e0)=e2|op(e1,e1)=e2)|op(e1,e2)=e2)|op(e1,e3)=e2)|op(e1,e4)=e2)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f391])).
% 0.15/5.66 fof(f394,plain,(
% 0.15/5.66 ~sP34_prd|sP35_prd|~op(e1,e1)=e2),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f392])).
% 0.15/5.66 fof(f400,definition,(
% 0.15/5.66 sP36_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP36_prd])],[])).
% 0.15/5.66 fof(f401,plain,(
% 0.15/5.66 sP35_prd<=>(sP36_prd|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f390,f400])).
% 0.15/5.66 fof(f402,plain,(
% 0.15/5.66 (~sP35_prd|(sP36_prd|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1)))&(sP35_prd|(~sP36_prd&((((op(e0,e1)=e1|op(e1,e1)=e1)|op(e2,e1)=e1)|op(e3,e1)=e1)|op(e4,e1)=e1)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f401])).
% 0.15/5.66 fof(f403,plain,(
% 0.15/5.66 ~sP35_prd|sP36_prd|~op(e0,e1)=e1),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f402])).
% 0.15/5.66 fof(f410,definition,(
% 0.15/5.66 sP37_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP37_prd])],[])).
% 0.15/5.66 fof(f411,plain,(
% 0.15/5.66 sP36_prd<=>(sP37_prd|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f400,f410])).
% 0.15/5.66 fof(f412,plain,(
% 0.15/5.66 (~sP36_prd|(sP37_prd|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1)))&(sP36_prd|(~sP37_prd&((((op(e1,e0)=e1|op(e1,e1)=e1)|op(e1,e2)=e1)|op(e1,e3)=e1)|op(e1,e4)=e1)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f411])).
% 0.15/5.66 fof(f413,plain,(
% 0.15/5.66 ~sP36_prd|sP37_prd|~op(e1,e0)=e1),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f412])).
% 0.15/5.66 fof(f420,definition,(
% 0.15/5.66 sP38_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP38_prd])],[])).
% 0.15/5.66 fof(f421,plain,(
% 0.15/5.66 sP37_prd<=>(sP38_prd|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f410,f420])).
% 0.15/5.66 fof(f422,plain,(
% 0.15/5.66 (~sP37_prd|(sP38_prd|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0)))&(sP37_prd|(~sP38_prd&((((op(e0,e1)=e0|op(e1,e1)=e0)|op(e2,e1)=e0)|op(e3,e1)=e0)|op(e4,e1)=e0)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f421])).
% 0.15/5.66 fof(f426,plain,(
% 0.15/5.66 ~sP37_prd|sP38_prd|~op(e3,e1)=e0),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f422])).
% 0.15/5.66 fof(f430,definition,(
% 0.15/5.66 sP39_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP39_prd])],[])).
% 0.15/5.66 fof(f431,plain,(
% 0.15/5.66 sP38_prd<=>(sP39_prd|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f420,f430])).
% 0.15/5.66 fof(f432,plain,(
% 0.15/5.66 (~sP38_prd|(sP39_prd|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0)))&(sP38_prd|(~sP39_prd&((((op(e1,e0)=e0|op(e1,e1)=e0)|op(e1,e2)=e0)|op(e1,e3)=e0)|op(e1,e4)=e0)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f431])).
% 0.15/5.66 fof(f437,plain,(
% 0.15/5.66 ~sP38_prd|sP39_prd|~op(e1,e4)=e0),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f432])).
% 0.15/5.66 fof(f440,definition,(
% 0.15/5.66 sP40_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP40_prd])],[])).
% 0.15/5.66 fof(f441,plain,(
% 0.15/5.66 sP39_prd<=>(sP40_prd|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f430,f440])).
% 0.15/5.66 fof(f442,plain,(
% 0.15/5.66 (~sP39_prd|(sP40_prd|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4)))&(sP39_prd|(~sP40_prd&((((op(e0,e0)=e4|op(e1,e0)=e4)|op(e2,e0)=e4)|op(e3,e0)=e4)|op(e4,e0)=e4)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f441])).
% 0.15/5.66 fof(f447,plain,(
% 0.15/5.66 ~sP39_prd|sP40_prd|~op(e4,e0)=e4),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f442])).
% 0.15/5.66 fof(f450,definition,(
% 0.15/5.66 sP41_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP41_prd])],[])).
% 0.15/5.66 fof(f451,plain,(
% 0.15/5.66 sP40_prd<=>(sP41_prd|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f440,f450])).
% 0.15/5.66 fof(f452,plain,(
% 0.15/5.66 (~sP40_prd|(sP41_prd|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4)))&(sP40_prd|(~sP41_prd&((((op(e0,e0)=e4|op(e0,e1)=e4)|op(e0,e2)=e4)|op(e0,e3)=e4)|op(e0,e4)=e4)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f451])).
% 0.15/5.66 fof(f457,plain,(
% 0.15/5.66 ~sP40_prd|sP41_prd|~op(e0,e4)=e4),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f452])).
% 0.15/5.66 fof(f460,definition,(
% 0.15/5.66 sP42_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP42_prd])],[])).
% 0.15/5.66 fof(f461,plain,(
% 0.15/5.66 sP41_prd<=>(sP42_prd|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f450,f460])).
% 0.15/5.66 fof(f462,plain,(
% 0.15/5.66 (~sP41_prd|(sP42_prd|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3)))&(sP41_prd|(~sP42_prd&((((op(e0,e0)=e3|op(e1,e0)=e3)|op(e2,e0)=e3)|op(e3,e0)=e3)|op(e4,e0)=e3)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f461])).
% 0.15/5.66 fof(f466,plain,(
% 0.15/5.66 ~sP41_prd|sP42_prd|~op(e3,e0)=e3),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f462])).
% 0.15/5.66 fof(f470,definition,(
% 0.15/5.66 sP43_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP43_prd])],[])).
% 0.15/5.66 fof(f471,plain,(
% 0.15/5.66 sP42_prd<=>(sP43_prd|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f460,f470])).
% 0.15/5.66 fof(f472,plain,(
% 0.15/5.66 (~sP42_prd|(sP43_prd|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3)))&(sP42_prd|(~sP43_prd&((((op(e0,e0)=e3|op(e0,e1)=e3)|op(e0,e2)=e3)|op(e0,e3)=e3)|op(e0,e4)=e3)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f471])).
% 0.15/5.66 fof(f476,plain,(
% 0.15/5.66 ~sP42_prd|sP43_prd|~op(e0,e3)=e3),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f472])).
% 0.15/5.66 fof(f480,definition,(
% 0.15/5.66 sP44_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP44_prd])],[])).
% 0.15/5.66 fof(f481,plain,(
% 0.15/5.66 sP43_prd<=>(sP44_prd|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f470,f480])).
% 0.15/5.66 fof(f482,plain,(
% 0.15/5.66 (~sP43_prd|(sP44_prd|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2)))&(sP43_prd|(~sP44_prd&((((op(e0,e0)=e2|op(e1,e0)=e2)|op(e2,e0)=e2)|op(e3,e0)=e2)|op(e4,e0)=e2)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f481])).
% 0.15/5.66 fof(f485,plain,(
% 0.15/5.66 ~sP43_prd|sP44_prd|~op(e2,e0)=e2),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f482])).
% 0.15/5.66 fof(f490,definition,(
% 0.15/5.66 sP45_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP45_prd])],[])).
% 0.15/5.66 fof(f491,plain,(
% 0.15/5.66 sP44_prd<=>(sP45_prd|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f480,f490])).
% 0.15/5.66 fof(f492,plain,(
% 0.15/5.66 (~sP44_prd|(sP45_prd|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2)))&(sP44_prd|(~sP45_prd&((((op(e0,e0)=e2|op(e0,e1)=e2)|op(e0,e2)=e2)|op(e0,e3)=e2)|op(e0,e4)=e2)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f491])).
% 0.15/5.66 fof(f495,plain,(
% 0.15/5.66 ~sP44_prd|sP45_prd|~op(e0,e2)=e2),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f492])).
% 0.15/5.66 fof(f500,definition,(
% 0.15/5.66 sP46_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP46_prd])],[])).
% 0.15/5.66 fof(f501,plain,(
% 0.15/5.66 sP45_prd<=>(sP46_prd|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f490,f500])).
% 0.15/5.66 fof(f502,plain,(
% 0.15/5.66 (~sP45_prd|(sP46_prd|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1)))&(sP45_prd|(~sP46_prd&((((op(e0,e0)=e1|op(e1,e0)=e1)|op(e2,e0)=e1)|op(e3,e0)=e1)|op(e4,e0)=e1)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f501])).
% 0.15/5.66 fof(f504,plain,(
% 0.15/5.66 ~sP45_prd|sP46_prd|~op(e1,e0)=e1),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f502])).
% 0.15/5.66 fof(f510,definition,(
% 0.15/5.66 sP47_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP47_prd])],[])).
% 0.15/5.66 fof(f511,plain,(
% 0.15/5.66 sP46_prd<=>(sP47_prd|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f500,f510])).
% 0.15/5.66 fof(f512,plain,(
% 0.15/5.66 (~sP46_prd|(sP47_prd|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1)))&(sP46_prd|(~sP47_prd&((((op(e0,e0)=e1|op(e0,e1)=e1)|op(e0,e2)=e1)|op(e0,e3)=e1)|op(e0,e4)=e1)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f511])).
% 0.15/5.66 fof(f514,plain,(
% 0.15/5.66 ~sP46_prd|sP47_prd|~op(e0,e1)=e1),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f512])).
% 0.15/5.66 fof(f520,definition,(
% 0.15/5.66 sP48_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))),
% 0.15/5.66 introduced(definition,[new_symbols(definition,[sP48_prd])],[])).
% 0.15/5.66 fof(f521,plain,(
% 0.15/5.66 sP47_prd<=>(sP48_prd|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))),
% 0.15/5.66 inference(formula_renaming,[status(thm)],[f510,f520])).
% 0.15/5.66 fof(f522,plain,(
% 0.15/5.66 (~sP47_prd|(sP48_prd|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0)))&(sP47_prd|(~sP48_prd&((((op(e0,e0)=e0|op(e1,e0)=e0)|op(e2,e0)=e0)|op(e3,e0)=e0)|op(e4,e0)=e0)))),
% 0.15/5.66 inference(NNF_transformation,[status(thm)],[f521])).
% 0.15/5.66 fof(f523,plain,(
% 0.15/5.66 ~sP47_prd|sP48_prd|~op(e0,e0)=e0),
% 0.15/5.66 inference(cnf_transformation,[status(thm)],[f522])).
% 0.15/5.66 fof(f530,definition,(
% 0.15/5.66 sP49_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP49_prd])],[])).
% 0.15/5.67 fof(f531,plain,(
% 0.15/5.67 sP48_prd<=>(sP49_prd|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f520,f530])).
% 0.15/5.67 fof(f532,plain,(
% 0.15/5.67 (~sP48_prd|(sP49_prd|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0)))&(sP48_prd|(~sP49_prd&((((op(e0,e0)=e0|op(e0,e1)=e0)|op(e0,e2)=e0)|op(e0,e3)=e0)|op(e0,e4)=e0)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f531])).
% 0.15/5.67 fof(f533,plain,(
% 0.15/5.67 ~sP48_prd|sP49_prd|~op(e0,e0)=e0),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f532])).
% 0.15/5.67 fof(f540,definition,(
% 0.15/5.67 sP50_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP50_prd])],[])).
% 0.15/5.67 fof(f541,plain,(
% 0.15/5.67 sP49_prd<=>(sP50_prd|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f530,f540])).
% 0.15/5.67 fof(f542,plain,(
% 0.15/5.67 (~sP49_prd|(sP50_prd|((((~unit=e0&~unit=e1)&~unit=e2)&~unit=e3)&~unit=e4)))&(sP49_prd|(~sP50_prd&((((unit=e0|unit=e1)|unit=e2)|unit=e3)|unit=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f541])).
% 0.15/5.67 fof(f543,plain,(
% 0.15/5.67 ~sP49_prd|sP50_prd|~unit=e0),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f542])).
% 0.15/5.67 fof(f550,definition,(
% 0.15/5.67 sP51_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP51_prd])],[])).
% 0.15/5.67 fof(f551,plain,(
% 0.15/5.67 sP50_prd<=>(((((((((((sP51_prd|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4)),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f540,f550])).
% 0.15/5.67 fof(f552,plain,(
% 0.15/5.67 (~sP50_prd|(((((((((((sP51_prd|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))|~op(unit,e0)=e0)|~op(e0,unit)=e0)|~op(unit,e1)=e1)|~op(e1,unit)=e1)|~op(unit,e2)=e2)|~op(e2,unit)=e2)|~op(unit,e3)=e3)|~op(e3,unit)=e3)|~op(unit,e4)=e4)|~op(e4,unit)=e4))&(sP50_prd|(((((((((((~sP51_prd&((((op(e4,e4)=e0|op(e4,e4)=e1)|op(e4,e4)=e2)|op(e4,e4)=e3)|op(e4,e4)=e4))&op(unit,e0)=e0)&op(e0,unit)=e0)&op(unit,e1)=e1)&op(e1,unit)=e1)&op(unit,e2)=e2)&op(e2,unit)=e2)&op(unit,e3)=e3)&op(e3,unit)=e3)&op(unit,e4)=e4)&op(e4,unit)=e4))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f551])).
% 0.15/5.67 fof(f554,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~op(e4,e4)=e1|~op(unit,e0)=e0|~op(e0,unit)=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f552])).
% 0.15/5.67 fof(f570,definition,(
% 0.15/5.67 sP52_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP52_prd])],[])).
% 0.15/5.67 fof(f571,plain,(
% 0.15/5.67 sP51_prd<=>(sP52_prd|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f550,f570])).
% 0.15/5.67 fof(f572,plain,(
% 0.15/5.67 (~sP51_prd|(sP52_prd|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4)))&(sP51_prd|(~sP52_prd&((((op(e4,e3)=e0|op(e4,e3)=e1)|op(e4,e3)=e2)|op(e4,e3)=e3)|op(e4,e3)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f571])).
% 0.15/5.67 fof(f575,plain,(
% 0.15/5.67 ~sP51_prd|sP52_prd|~op(e4,e3)=e2),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f572])).
% 0.15/5.67 fof(f580,definition,(
% 0.15/5.67 sP53_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP53_prd])],[])).
% 0.15/5.67 fof(f581,plain,(
% 0.15/5.67 sP52_prd<=>(sP53_prd|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f570,f580])).
% 0.15/5.67 fof(f582,plain,(
% 0.15/5.67 (~sP52_prd|(sP53_prd|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4)))&(sP52_prd|(~sP53_prd&((((op(e4,e2)=e0|op(e4,e2)=e1)|op(e4,e2)=e2)|op(e4,e2)=e3)|op(e4,e2)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f581])).
% 0.15/5.67 fof(f583,plain,(
% 0.15/5.67 ~sP52_prd|sP53_prd|~op(e4,e2)=e0),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f582])).
% 0.15/5.67 fof(f590,definition,(
% 0.15/5.67 sP54_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP54_prd])],[])).
% 0.15/5.67 fof(f591,plain,(
% 0.15/5.67 sP53_prd<=>(sP54_prd|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f580,f590])).
% 0.15/5.67 fof(f592,plain,(
% 0.15/5.67 (~sP53_prd|(sP54_prd|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4)))&(sP53_prd|(~sP54_prd&((((op(e4,e1)=e0|op(e4,e1)=e1)|op(e4,e1)=e2)|op(e4,e1)=e3)|op(e4,e1)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f591])).
% 0.15/5.67 fof(f596,plain,(
% 0.15/5.67 ~sP53_prd|sP54_prd|~op(e4,e1)=e3),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f592])).
% 0.15/5.67 fof(f600,definition,(
% 0.15/5.67 sP55_prd<=>((((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP55_prd])],[])).
% 0.15/5.67 fof(f601,plain,(
% 0.15/5.67 sP54_prd<=>(sP55_prd|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f590,f600])).
% 0.15/5.67 fof(f602,plain,(
% 0.15/5.67 (~sP54_prd|(sP55_prd|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4)))&(sP54_prd|(~sP55_prd&((((op(e4,e0)=e0|op(e4,e0)=e1)|op(e4,e0)=e2)|op(e4,e0)=e3)|op(e4,e0)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f601])).
% 0.15/5.67 fof(f607,plain,(
% 0.15/5.67 ~sP54_prd|sP55_prd|~op(e4,e0)=e4),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f602])).
% 0.15/5.67 fof(f610,definition,(
% 0.15/5.67 sP56_prd<=>(((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP56_prd])],[])).
% 0.15/5.67 fof(f611,plain,(
% 0.15/5.67 sP55_prd<=>(sP56_prd|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f600,f610])).
% 0.15/5.67 fof(f612,plain,(
% 0.15/5.67 (~sP55_prd|(sP56_prd|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4)))&(sP55_prd|(~sP56_prd&((((op(e3,e4)=e0|op(e3,e4)=e1)|op(e3,e4)=e2)|op(e3,e4)=e3)|op(e3,e4)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f611])).
% 0.15/5.67 fof(f615,plain,(
% 0.15/5.67 ~sP55_prd|sP56_prd|~op(e3,e4)=e2),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f612])).
% 0.15/5.67 fof(f620,definition,(
% 0.15/5.67 sP57_prd<=>((((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP57_prd])],[])).
% 0.15/5.67 fof(f621,plain,(
% 0.15/5.67 sP56_prd<=>(sP57_prd|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f610,f620])).
% 0.15/5.67 fof(f622,plain,(
% 0.15/5.67 (~sP56_prd|(sP57_prd|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4)))&(sP56_prd|(~sP57_prd&((((op(e3,e3)=e0|op(e3,e3)=e1)|op(e3,e3)=e2)|op(e3,e3)=e3)|op(e3,e3)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f621])).
% 0.15/5.67 fof(f624,plain,(
% 0.15/5.67 ~sP56_prd|sP57_prd|~op(e3,e3)=e1),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f622])).
% 0.15/5.67 fof(f630,definition,(
% 0.15/5.67 sP58_prd<=>(((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP58_prd])],[])).
% 0.15/5.67 fof(f631,plain,(
% 0.15/5.67 sP57_prd<=>(sP58_prd|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f620,f630])).
% 0.15/5.67 fof(f632,plain,(
% 0.15/5.67 (~sP57_prd|(sP58_prd|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4)))&(sP57_prd|(~sP58_prd&((((op(e3,e2)=e0|op(e3,e2)=e1)|op(e3,e2)=e2)|op(e3,e2)=e3)|op(e3,e2)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f631])).
% 0.15/5.67 fof(f637,plain,(
% 0.15/5.67 ~sP57_prd|sP58_prd|~op(e3,e2)=e4),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f632])).
% 0.15/5.67 fof(f640,definition,(
% 0.15/5.67 sP59_prd<=>((((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP59_prd])],[])).
% 0.15/5.67 fof(f641,plain,(
% 0.15/5.67 sP58_prd<=>(sP59_prd|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f630,f640])).
% 0.15/5.67 fof(f642,plain,(
% 0.15/5.67 (~sP58_prd|(sP59_prd|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4)))&(sP58_prd|(~sP59_prd&((((op(e3,e1)=e0|op(e3,e1)=e1)|op(e3,e1)=e2)|op(e3,e1)=e3)|op(e3,e1)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f641])).
% 0.15/5.67 fof(f643,plain,(
% 0.15/5.67 ~sP58_prd|sP59_prd|~op(e3,e1)=e0),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f642])).
% 0.15/5.67 fof(f650,definition,(
% 0.15/5.67 sP60_prd<=>(((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP60_prd])],[])).
% 0.15/5.67 fof(f651,plain,(
% 0.15/5.67 sP59_prd<=>(sP60_prd|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f640,f650])).
% 0.15/5.67 fof(f652,plain,(
% 0.15/5.67 (~sP59_prd|(sP60_prd|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4)))&(sP59_prd|(~sP60_prd&((((op(e3,e0)=e0|op(e3,e0)=e1)|op(e3,e0)=e2)|op(e3,e0)=e3)|op(e3,e0)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f651])).
% 0.15/5.67 fof(f656,plain,(
% 0.15/5.67 ~sP59_prd|sP60_prd|~op(e3,e0)=e3),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f652])).
% 0.15/5.67 fof(f660,definition,(
% 0.15/5.67 sP61_prd<=>((((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP61_prd])],[])).
% 0.15/5.67 fof(f661,plain,(
% 0.15/5.67 sP60_prd<=>(sP61_prd|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f650,f660])).
% 0.15/5.67 fof(f662,plain,(
% 0.15/5.67 (~sP60_prd|(sP61_prd|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4)))&(sP60_prd|(~sP61_prd&((((op(e2,e4)=e0|op(e2,e4)=e1)|op(e2,e4)=e2)|op(e2,e4)=e3)|op(e2,e4)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f661])).
% 0.15/5.67 fof(f666,plain,(
% 0.15/5.67 ~sP60_prd|sP61_prd|~op(e2,e4)=e3),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f662])).
% 0.15/5.67 fof(f670,definition,(
% 0.15/5.67 sP62_prd<=>(((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP62_prd])],[])).
% 0.15/5.67 fof(f671,plain,(
% 0.15/5.67 sP61_prd<=>(sP62_prd|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f660,f670])).
% 0.15/5.67 fof(f672,plain,(
% 0.15/5.67 (~sP61_prd|(sP62_prd|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4)))&(sP61_prd|(~sP62_prd&((((op(e2,e3)=e0|op(e2,e3)=e1)|op(e2,e3)=e2)|op(e2,e3)=e3)|op(e2,e3)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f671])).
% 0.15/5.67 fof(f673,plain,(
% 0.15/5.67 ~sP61_prd|sP62_prd|~op(e2,e3)=e0),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f672])).
% 0.15/5.67 fof(f680,definition,(
% 0.15/5.67 sP63_prd<=>((((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP63_prd])],[])).
% 0.15/5.67 fof(f681,plain,(
% 0.15/5.67 sP62_prd<=>(sP63_prd|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f670,f680])).
% 0.15/5.67 fof(f682,plain,(
% 0.15/5.67 (~sP62_prd|(sP63_prd|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4)))&(sP62_prd|(~sP63_prd&((((op(e2,e2)=e0|op(e2,e2)=e1)|op(e2,e2)=e2)|op(e2,e2)=e3)|op(e2,e2)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f681])).
% 0.15/5.67 fof(f684,plain,(
% 0.15/5.67 ~sP62_prd|sP63_prd|~op(e2,e2)=e1),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f682])).
% 0.15/5.67 fof(f690,definition,(
% 0.15/5.67 sP64_prd<=>(((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP64_prd])],[])).
% 0.15/5.67 fof(f691,plain,(
% 0.15/5.67 sP63_prd<=>(sP64_prd|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f680,f690])).
% 0.15/5.67 fof(f692,plain,(
% 0.15/5.67 (~sP63_prd|(sP64_prd|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4)))&(sP63_prd|(~sP64_prd&((((op(e2,e1)=e0|op(e2,e1)=e1)|op(e2,e1)=e2)|op(e2,e1)=e3)|op(e2,e1)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f691])).
% 0.15/5.67 fof(f697,plain,(
% 0.15/5.67 ~sP63_prd|sP64_prd|~op(e2,e1)=e4),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f692])).
% 0.15/5.67 fof(f700,definition,(
% 0.15/5.67 sP65_prd<=>((((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP65_prd])],[])).
% 0.15/5.67 fof(f701,plain,(
% 0.15/5.67 sP64_prd<=>(sP65_prd|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f690,f700])).
% 0.15/5.67 fof(f702,plain,(
% 0.15/5.67 (~sP64_prd|(sP65_prd|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4)))&(sP64_prd|(~sP65_prd&((((op(e2,e0)=e0|op(e2,e0)=e1)|op(e2,e0)=e2)|op(e2,e0)=e3)|op(e2,e0)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f701])).
% 0.15/5.67 fof(f705,plain,(
% 0.15/5.67 ~sP64_prd|sP65_prd|~op(e2,e0)=e2),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f702])).
% 0.15/5.67 fof(f710,definition,(
% 0.15/5.67 sP66_prd<=>(((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP66_prd])],[])).
% 0.15/5.67 fof(f711,plain,(
% 0.15/5.67 sP65_prd<=>(sP66_prd|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f700,f710])).
% 0.15/5.67 fof(f712,plain,(
% 0.15/5.67 (~sP65_prd|(sP66_prd|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4)))&(sP65_prd|(~sP66_prd&((((op(e1,e4)=e0|op(e1,e4)=e1)|op(e1,e4)=e2)|op(e1,e4)=e3)|op(e1,e4)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f711])).
% 0.15/5.67 fof(f713,plain,(
% 0.15/5.67 ~sP65_prd|sP66_prd|~op(e1,e4)=e0),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f712])).
% 0.15/5.67 fof(f720,definition,(
% 0.15/5.67 sP67_prd<=>((((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP67_prd])],[])).
% 0.15/5.67 fof(f721,plain,(
% 0.15/5.67 sP66_prd<=>(sP67_prd|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f710,f720])).
% 0.15/5.67 fof(f722,plain,(
% 0.15/5.67 (~sP66_prd|(sP67_prd|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4)))&(sP66_prd|(~sP67_prd&((((op(e1,e3)=e0|op(e1,e3)=e1)|op(e1,e3)=e2)|op(e1,e3)=e3)|op(e1,e3)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f721])).
% 0.15/5.67 fof(f727,plain,(
% 0.15/5.67 ~sP66_prd|sP67_prd|~op(e1,e3)=e4),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f722])).
% 0.15/5.67 fof(f730,definition,(
% 0.15/5.67 sP68_prd<=>(((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP68_prd])],[])).
% 0.15/5.67 fof(f731,plain,(
% 0.15/5.67 sP67_prd<=>(sP68_prd|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f720,f730])).
% 0.15/5.67 fof(f732,plain,(
% 0.15/5.67 (~sP67_prd|(sP68_prd|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4)))&(sP67_prd|(~sP68_prd&((((op(e1,e2)=e0|op(e1,e2)=e1)|op(e1,e2)=e2)|op(e1,e2)=e3)|op(e1,e2)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f731])).
% 0.15/5.67 fof(f736,plain,(
% 0.15/5.67 ~sP67_prd|sP68_prd|~op(e1,e2)=e3),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f732])).
% 0.15/5.67 fof(f740,definition,(
% 0.15/5.67 sP69_prd<=>((((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP69_prd])],[])).
% 0.15/5.67 fof(f741,plain,(
% 0.15/5.67 sP68_prd<=>(sP69_prd|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f730,f740])).
% 0.15/5.67 fof(f742,plain,(
% 0.15/5.67 (~sP68_prd|(sP69_prd|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4)))&(sP68_prd|(~sP69_prd&((((op(e1,e1)=e0|op(e1,e1)=e1)|op(e1,e1)=e2)|op(e1,e1)=e3)|op(e1,e1)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f741])).
% 0.15/5.67 fof(f745,plain,(
% 0.15/5.67 ~sP68_prd|sP69_prd|~op(e1,e1)=e2),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f742])).
% 0.15/5.67 fof(f750,definition,(
% 0.15/5.67 sP70_prd<=>(((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP70_prd])],[])).
% 0.15/5.67 fof(f751,plain,(
% 0.15/5.67 sP69_prd<=>(sP70_prd|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f740,f750])).
% 0.15/5.67 fof(f752,plain,(
% 0.15/5.67 (~sP69_prd|(sP70_prd|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4)))&(sP69_prd|(~sP70_prd&((((op(e1,e0)=e0|op(e1,e0)=e1)|op(e1,e0)=e2)|op(e1,e0)=e3)|op(e1,e0)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f751])).
% 0.15/5.67 fof(f754,plain,(
% 0.15/5.67 ~sP69_prd|sP70_prd|~op(e1,e0)=e1),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f752])).
% 0.15/5.67 fof(f760,definition,(
% 0.15/5.67 sP71_prd<=>((((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP71_prd])],[])).
% 0.15/5.67 fof(f761,plain,(
% 0.15/5.67 sP70_prd<=>(sP71_prd|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f750,f760])).
% 0.15/5.67 fof(f762,plain,(
% 0.15/5.67 (~sP70_prd|(sP71_prd|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4)))&(sP70_prd|(~sP71_prd&((((op(e0,e4)=e0|op(e0,e4)=e1)|op(e0,e4)=e2)|op(e0,e4)=e3)|op(e0,e4)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f761])).
% 0.15/5.67 fof(f767,plain,(
% 0.15/5.67 ~sP70_prd|sP71_prd|~op(e0,e4)=e4),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f762])).
% 0.15/5.67 fof(f770,definition,(
% 0.15/5.67 sP72_prd<=>(((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP72_prd])],[])).
% 0.15/5.67 fof(f771,plain,(
% 0.15/5.67 sP71_prd<=>(sP72_prd|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f760,f770])).
% 0.15/5.67 fof(f772,plain,(
% 0.15/5.67 (~sP71_prd|(sP72_prd|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4)))&(sP71_prd|(~sP72_prd&((((op(e0,e3)=e0|op(e0,e3)=e1)|op(e0,e3)=e2)|op(e0,e3)=e3)|op(e0,e3)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f771])).
% 0.15/5.67 fof(f776,plain,(
% 0.15/5.67 ~sP71_prd|sP72_prd|~op(e0,e3)=e3),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f772])).
% 0.15/5.67 fof(f780,definition,(
% 0.15/5.67 sP73_prd<=>((((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP73_prd])],[])).
% 0.15/5.67 fof(f781,plain,(
% 0.15/5.67 sP72_prd<=>(sP73_prd|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f770,f780])).
% 0.15/5.67 fof(f782,plain,(
% 0.15/5.67 (~sP72_prd|(sP73_prd|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4)))&(sP72_prd|(~sP73_prd&((((op(e0,e2)=e0|op(e0,e2)=e1)|op(e0,e2)=e2)|op(e0,e2)=e3)|op(e0,e2)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f781])).
% 0.15/5.67 fof(f785,plain,(
% 0.15/5.67 ~sP72_prd|sP73_prd|~op(e0,e2)=e2),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f782])).
% 0.15/5.67 fof(f790,definition,(
% 0.15/5.67 sP74_prd<=>(((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP74_prd])],[])).
% 0.15/5.67 fof(f791,plain,(
% 0.15/5.67 sP73_prd<=>(sP74_prd|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f780,f790])).
% 0.15/5.67 fof(f792,plain,(
% 0.15/5.67 (~sP73_prd|(sP74_prd|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4)))&(sP73_prd|(~sP74_prd&((((op(e0,e1)=e0|op(e0,e1)=e1)|op(e0,e1)=e2)|op(e0,e1)=e3)|op(e0,e1)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f791])).
% 0.15/5.67 fof(f794,plain,(
% 0.15/5.67 ~sP73_prd|sP74_prd|~op(e0,e1)=e1),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f792])).
% 0.15/5.67 fof(f800,definition,(
% 0.15/5.67 sP75_prd<=>((((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP75_prd])],[])).
% 0.15/5.67 fof(f801,plain,(
% 0.15/5.67 sP74_prd<=>(sP75_prd|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f790,f800])).
% 0.15/5.67 fof(f802,plain,(
% 0.15/5.67 (~sP74_prd|(sP75_prd|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4)))&(sP74_prd|(~sP75_prd&((((op(e0,e0)=e0|op(e0,e0)=e1)|op(e0,e0)=e2)|op(e0,e0)=e3)|op(e0,e0)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f801])).
% 0.15/5.67 fof(f803,plain,(
% 0.15/5.67 ~sP74_prd|sP75_prd|~op(e0,e0)=e0),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f802])).
% 0.15/5.67 fof(f810,definition,(
% 0.15/5.67 sP76_prd<=>(((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP76_prd])],[])).
% 0.15/5.67 fof(f811,plain,(
% 0.15/5.67 sP75_prd<=>(sP76_prd&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f800,f810])).
% 0.15/5.67 fof(f812,plain,(
% 0.15/5.67 (~sP75_prd|(sP76_prd&((~op(e4,e4)=e4|~op(e4,e4)=e4)|op(e4,e4)=e4)))&(sP75_prd|(~sP76_prd|((op(e4,e4)=e4&op(e4,e4)=e4)&~op(e4,e4)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f811])).
% 0.15/5.67 fof(f813,plain,(
% 0.15/5.67 ~sP75_prd|sP76_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f812])).
% 0.15/5.67 fof(f818,definition,(
% 0.15/5.67 sP77_prd<=>((((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP77_prd])],[])).
% 0.15/5.67 fof(f819,plain,(
% 0.15/5.67 sP76_prd<=>(sP77_prd&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f810,f818])).
% 0.15/5.67 fof(f820,plain,(
% 0.15/5.67 (~sP76_prd|(sP77_prd&((~op(e4,e4)=e3|~op(e3,e3)=e4)|op(e4,e3)=e4)))&(sP76_prd|(~sP77_prd|((op(e4,e4)=e3&op(e3,e3)=e4)&~op(e4,e3)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f819])).
% 0.15/5.67 fof(f821,plain,(
% 0.15/5.67 ~sP76_prd|sP77_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f820])).
% 0.15/5.67 fof(f826,definition,(
% 0.15/5.67 sP78_prd<=>(((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP78_prd])],[])).
% 0.15/5.67 fof(f827,plain,(
% 0.15/5.67 sP77_prd<=>(sP78_prd&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f818,f826])).
% 0.15/5.67 fof(f828,plain,(
% 0.15/5.67 (~sP77_prd|(sP78_prd&((~op(e4,e4)=e2|~op(e2,e2)=e4)|op(e4,e2)=e4)))&(sP77_prd|(~sP78_prd|((op(e4,e4)=e2&op(e2,e2)=e4)&~op(e4,e2)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f827])).
% 0.15/5.67 fof(f829,plain,(
% 0.15/5.67 ~sP77_prd|sP78_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f828])).
% 0.15/5.67 fof(f834,definition,(
% 0.15/5.67 sP79_prd<=>((((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP79_prd])],[])).
% 0.15/5.67 fof(f835,plain,(
% 0.15/5.67 sP78_prd<=>(sP79_prd&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f826,f834])).
% 0.15/5.67 fof(f836,plain,(
% 0.15/5.67 (~sP78_prd|(sP79_prd&((~op(e4,e4)=e1|~op(e1,e1)=e4)|op(e4,e1)=e4)))&(sP78_prd|(~sP79_prd|((op(e4,e4)=e1&op(e1,e1)=e4)&~op(e4,e1)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f835])).
% 0.15/5.67 fof(f837,plain,(
% 0.15/5.67 ~sP78_prd|sP79_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f836])).
% 0.15/5.67 fof(f842,definition,(
% 0.15/5.67 sP80_prd<=>(((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP80_prd])],[])).
% 0.15/5.67 fof(f843,plain,(
% 0.15/5.67 sP79_prd<=>(sP80_prd&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f834,f842])).
% 0.15/5.67 fof(f844,plain,(
% 0.15/5.67 (~sP79_prd|(sP80_prd&((~op(e4,e4)=e0|~op(e0,e0)=e4)|op(e4,e0)=e4)))&(sP79_prd|(~sP80_prd|((op(e4,e4)=e0&op(e0,e0)=e4)&~op(e4,e0)=e4)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f843])).
% 0.15/5.67 fof(f845,plain,(
% 0.15/5.67 ~sP79_prd|sP80_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f844])).
% 0.15/5.67 fof(f850,definition,(
% 0.15/5.67 sP81_prd<=>((((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP81_prd])],[])).
% 0.15/5.67 fof(f851,plain,(
% 0.15/5.67 sP80_prd<=>(sP81_prd&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f842,f850])).
% 0.15/5.67 fof(f852,plain,(
% 0.15/5.67 (~sP80_prd|(sP81_prd&((~op(e3,e3)=e4|~op(e4,e4)=e3)|op(e3,e4)=e3)))&(sP80_prd|(~sP81_prd|((op(e3,e3)=e4&op(e4,e4)=e3)&~op(e3,e4)=e3)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f851])).
% 0.15/5.67 fof(f853,plain,(
% 0.15/5.67 ~sP80_prd|sP81_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f852])).
% 0.15/5.67 fof(f858,definition,(
% 0.15/5.67 sP82_prd<=>(((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP82_prd])],[])).
% 0.15/5.67 fof(f859,plain,(
% 0.15/5.67 sP81_prd<=>(sP82_prd&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f850,f858])).
% 0.15/5.67 fof(f860,plain,(
% 0.15/5.67 (~sP81_prd|(sP82_prd&((~op(e3,e3)=e3|~op(e3,e3)=e3)|op(e3,e3)=e3)))&(sP81_prd|(~sP82_prd|((op(e3,e3)=e3&op(e3,e3)=e3)&~op(e3,e3)=e3)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f859])).
% 0.15/5.67 fof(f861,plain,(
% 0.15/5.67 ~sP81_prd|sP82_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f860])).
% 0.15/5.67 fof(f866,definition,(
% 0.15/5.67 sP83_prd<=>((((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP83_prd])],[])).
% 0.15/5.67 fof(f867,plain,(
% 0.15/5.67 sP82_prd<=>(sP83_prd&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f858,f866])).
% 0.15/5.67 fof(f868,plain,(
% 0.15/5.67 (~sP82_prd|(sP83_prd&((~op(e3,e3)=e2|~op(e2,e2)=e3)|op(e3,e2)=e3)))&(sP82_prd|(~sP83_prd|((op(e3,e3)=e2&op(e2,e2)=e3)&~op(e3,e2)=e3)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f867])).
% 0.15/5.67 fof(f869,plain,(
% 0.15/5.67 ~sP82_prd|sP83_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f868])).
% 0.15/5.67 fof(f874,definition,(
% 0.15/5.67 sP84_prd<=>(((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP84_prd])],[])).
% 0.15/5.67 fof(f875,plain,(
% 0.15/5.67 sP83_prd<=>(sP84_prd&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f866,f874])).
% 0.15/5.67 fof(f876,plain,(
% 0.15/5.67 (~sP83_prd|(sP84_prd&((~op(e3,e3)=e1|~op(e1,e1)=e3)|op(e3,e1)=e3)))&(sP83_prd|(~sP84_prd|((op(e3,e3)=e1&op(e1,e1)=e3)&~op(e3,e1)=e3)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f875])).
% 0.15/5.67 fof(f877,plain,(
% 0.15/5.67 ~sP83_prd|sP84_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f876])).
% 0.15/5.67 fof(f882,definition,(
% 0.15/5.67 sP85_prd<=>((((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP85_prd])],[])).
% 0.15/5.67 fof(f883,plain,(
% 0.15/5.67 sP84_prd<=>(sP85_prd&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f874,f882])).
% 0.15/5.67 fof(f884,plain,(
% 0.15/5.67 (~sP84_prd|(sP85_prd&((~op(e3,e3)=e0|~op(e0,e0)=e3)|op(e3,e0)=e3)))&(sP84_prd|(~sP85_prd|((op(e3,e3)=e0&op(e0,e0)=e3)&~op(e3,e0)=e3)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f883])).
% 0.15/5.67 fof(f885,plain,(
% 0.15/5.67 ~sP84_prd|sP85_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f884])).
% 0.15/5.67 fof(f890,definition,(
% 0.15/5.67 sP86_prd<=>(((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP86_prd])],[])).
% 0.15/5.67 fof(f891,plain,(
% 0.15/5.67 sP85_prd<=>(sP86_prd&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f882,f890])).
% 0.15/5.67 fof(f892,plain,(
% 0.15/5.67 (~sP85_prd|(sP86_prd&((~op(e2,e2)=e4|~op(e4,e4)=e2)|op(e2,e4)=e2)))&(sP85_prd|(~sP86_prd|((op(e2,e2)=e4&op(e4,e4)=e2)&~op(e2,e4)=e2)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f891])).
% 0.15/5.67 fof(f893,plain,(
% 0.15/5.67 ~sP85_prd|sP86_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f892])).
% 0.15/5.67 fof(f898,definition,(
% 0.15/5.67 sP87_prd<=>((((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP87_prd])],[])).
% 0.15/5.67 fof(f899,plain,(
% 0.15/5.67 sP86_prd<=>(sP87_prd&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f890,f898])).
% 0.15/5.67 fof(f900,plain,(
% 0.15/5.67 (~sP86_prd|(sP87_prd&((~op(e2,e2)=e3|~op(e3,e3)=e2)|op(e2,e3)=e2)))&(sP86_prd|(~sP87_prd|((op(e2,e2)=e3&op(e3,e3)=e2)&~op(e2,e3)=e2)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f899])).
% 0.15/5.67 fof(f901,plain,(
% 0.15/5.67 ~sP86_prd|sP87_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f900])).
% 0.15/5.67 fof(f906,definition,(
% 0.15/5.67 sP88_prd<=>(((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP88_prd])],[])).
% 0.15/5.67 fof(f907,plain,(
% 0.15/5.67 sP87_prd<=>(sP88_prd&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f898,f906])).
% 0.15/5.67 fof(f908,plain,(
% 0.15/5.67 (~sP87_prd|(sP88_prd&((~op(e2,e2)=e2|~op(e2,e2)=e2)|op(e2,e2)=e2)))&(sP87_prd|(~sP88_prd|((op(e2,e2)=e2&op(e2,e2)=e2)&~op(e2,e2)=e2)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f907])).
% 0.15/5.67 fof(f909,plain,(
% 0.15/5.67 ~sP87_prd|sP88_prd),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f908])).
% 0.15/5.67 fof(f914,definition,(
% 0.15/5.67 sP89_prd<=>((((((((((((~op(e0,e0)=e0|~op(e0,e0)=e0)|op(e0,e0)=e0)&((~op(e0,e0)=e1|~op(e1,e1)=e0)|op(e0,e1)=e0))&((~op(e0,e0)=e2|~op(e2,e2)=e0)|op(e0,e2)=e0))&((~op(e0,e0)=e3|~op(e3,e3)=e0)|op(e0,e3)=e0))&((~op(e0,e0)=e4|~op(e4,e4)=e0)|op(e0,e4)=e0))&((~op(e1,e1)=e0|~op(e0,e0)=e1)|op(e1,e0)=e1))&((~op(e1,e1)=e1|~op(e1,e1)=e1)|op(e1,e1)=e1))&((~op(e1,e1)=e2|~op(e2,e2)=e1)|op(e1,e2)=e1))&((~op(e1,e1)=e3|~op(e3,e3)=e1)|op(e1,e3)=e1))&((~op(e1,e1)=e4|~op(e4,e4)=e1)|op(e1,e4)=e1))&((~op(e2,e2)=e0|~op(e0,e0)=e2)|op(e2,e0)=e2))),
% 0.15/5.67 introduced(definition,[new_symbols(definition,[sP89_prd])],[])).
% 0.15/5.67 fof(f915,plain,(
% 0.15/5.67 sP88_prd<=>(sP89_prd&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2))),
% 0.15/5.67 inference(formula_renaming,[status(thm)],[f906,f914])).
% 0.15/5.67 fof(f916,plain,(
% 0.15/5.67 (~sP88_prd|(sP89_prd&((~op(e2,e2)=e1|~op(e1,e1)=e2)|op(e2,e1)=e2)))&(sP88_prd|(~sP89_prd|((op(e2,e2)=e1&op(e1,e1)=e2)&~op(e2,e1)=e2)))),
% 0.15/5.67 inference(NNF_transformation,[status(thm)],[f915])).
% 0.15/5.67 fof(f918,plain,(
% 0.15/5.67 ~sP88_prd|~op(e2,e2)=e1|~op(e1,e1)=e2|op(e2,e1)=e2),
% 0.15/5.67 inference(cnf_transformation,[status(thm)],[f916])).
% 0.15/5.67 fof(f1007,plain,(
% 0.15/5.67 sP0_prd|~e4=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f20,f45])).
% 0.15/5.67 fof(f1008,plain,(
% 0.15/5.67 sP0_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1007])).
% 0.15/5.67 fof(f1013,plain,(
% 0.15/5.67 ~sP0_prd|sP1_prd|~e4=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f36,f53])).
% 0.15/5.67 fof(f1014,plain,(
% 0.15/5.67 ~sP0_prd|sP1_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1013])).
% 0.15/5.67 fof(f1015,plain,(
% 0.15/5.67 sP1_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1014,f1008])).
% 0.15/5.67 fof(f1022,plain,(
% 0.15/5.67 ~sP1_prd|sP2_prd|~e3=e3),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f30,f65])).
% 0.15/5.67 fof(f1023,plain,(
% 0.15/5.67 ~sP1_prd|sP2_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1022])).
% 0.15/5.67 fof(f1024,plain,(
% 0.15/5.67 sP2_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1023,f1015])).
% 0.15/5.67 fof(f1030,plain,(
% 0.15/5.67 ~sP2_prd|sP3_prd|~e3=e3),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f37,f74])).
% 0.15/5.67 fof(f1031,plain,(
% 0.15/5.67 ~sP2_prd|sP3_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1030])).
% 0.15/5.67 fof(f1032,plain,(
% 0.15/5.67 sP3_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1031,f1024])).
% 0.15/5.67 fof(f1040,plain,(
% 0.15/5.67 ~sP3_prd|sP4_prd|~e2=e2),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f35,f86])).
% 0.15/5.67 fof(f1041,plain,(
% 0.15/5.67 ~sP3_prd|sP4_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1040])).
% 0.15/5.67 fof(f1042,plain,(
% 0.15/5.67 sP4_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1041,f1032])).
% 0.15/5.67 fof(f1050,plain,(
% 0.15/5.67 ~sP4_prd|sP5_prd|~e2=e2),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f39,f96])).
% 0.15/5.67 fof(f1051,plain,(
% 0.15/5.67 ~sP4_prd|sP5_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1050])).
% 0.15/5.67 fof(f1052,plain,(
% 0.15/5.67 sP5_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1051,f1042])).
% 0.15/5.67 fof(f1061,plain,(
% 0.15/5.67 ~sP5_prd|sP6_prd|~e1=e1),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f40,f107])).
% 0.15/5.67 fof(f1062,plain,(
% 0.15/5.67 ~sP5_prd|sP6_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1061])).
% 0.15/5.67 fof(f1063,plain,(
% 0.15/5.67 sP6_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1062,f1052])).
% 0.15/5.67 fof(f1072,plain,(
% 0.15/5.67 ~sP6_prd|sP7_prd|~e1=e1),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f40,f117])).
% 0.15/5.67 fof(f1073,plain,(
% 0.15/5.67 ~sP6_prd|sP7_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1072])).
% 0.15/5.67 fof(f1074,plain,(
% 0.15/5.67 sP7_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1073,f1063])).
% 0.15/5.67 fof(f1080,plain,(
% 0.15/5.67 ~sP7_prd|sP8_prd|~e0=e0),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f25,f124])).
% 0.15/5.67 fof(f1081,plain,(
% 0.15/5.67 ~sP7_prd|sP8_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1080])).
% 0.15/5.67 fof(f1082,plain,(
% 0.15/5.67 sP8_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1081,f1074])).
% 0.15/5.67 fof(f1089,plain,(
% 0.15/5.67 ~sP8_prd|sP9_prd|~e0=e0),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f38,f135])).
% 0.15/5.67 fof(f1090,plain,(
% 0.15/5.67 ~sP8_prd|sP9_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1089])).
% 0.15/5.67 fof(f1091,plain,(
% 0.15/5.67 sP9_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1090,f1082])).
% 0.15/5.67 fof(f1097,plain,(
% 0.15/5.67 ~sP9_prd|sP10_prd|~e4=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f24,f144])).
% 0.15/5.67 fof(f1098,plain,(
% 0.15/5.67 ~sP9_prd|sP10_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1097])).
% 0.15/5.67 fof(f1099,plain,(
% 0.15/5.67 sP10_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1098,f1091])).
% 0.15/5.67 fof(f1106,plain,(
% 0.15/5.67 ~sP10_prd|sP11_prd|~e4=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f33,f155])).
% 0.15/5.67 fof(f1107,plain,(
% 0.15/5.67 ~sP10_prd|sP11_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1106])).
% 0.15/5.67 fof(f1108,plain,(
% 0.15/5.67 sP11_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1107,f1099])).
% 0.15/5.67 fof(f1113,plain,(
% 0.15/5.67 ~sP11_prd|sP12_prd|~e3=e3),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f19,f163])).
% 0.15/5.67 fof(f1114,plain,(
% 0.15/5.67 ~sP11_prd|sP12_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1113])).
% 0.15/5.67 fof(f1115,plain,(
% 0.15/5.67 sP12_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1114,f1108])).
% 0.15/5.67 fof(f1120,plain,(
% 0.15/5.67 ~sP12_prd|sP13_prd|~e3=e3),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f31,f173])).
% 0.15/5.67 fof(f1121,plain,(
% 0.15/5.67 ~sP12_prd|sP13_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1120])).
% 0.15/5.67 fof(f1122,plain,(
% 0.15/5.67 sP13_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1121,f1115])).
% 0.15/5.67 fof(f1131,plain,(
% 0.15/5.67 ~sP13_prd|sP14_prd|~e2=e2),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f39,f187])).
% 0.15/5.67 fof(f1132,plain,(
% 0.15/5.67 ~sP13_prd|sP14_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1131])).
% 0.15/5.67 fof(f1133,plain,(
% 0.15/5.67 sP14_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1132,f1122])).
% 0.15/5.67 fof(f1142,plain,(
% 0.15/5.67 ~sP14_prd|sP15_prd|~e2=e2),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f35,f197])).
% 0.15/5.67 fof(f1143,plain,(
% 0.15/5.67 ~sP14_prd|sP15_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1142])).
% 0.15/5.67 fof(f1144,plain,(
% 0.15/5.67 sP15_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1143,f1133])).
% 0.15/5.67 fof(f1152,plain,(
% 0.15/5.67 ~sP15_prd|sP16_prd|~e1=e1),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f34,f206])).
% 0.15/5.67 fof(f1153,plain,(
% 0.15/5.67 ~sP15_prd|sP16_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1152])).
% 0.15/5.67 fof(f1154,plain,(
% 0.15/5.67 sP16_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1153,f1144])).
% 0.15/5.67 fof(f1162,plain,(
% 0.15/5.67 ~sP16_prd|sP17_prd|~e1=e1),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f34,f216])).
% 0.15/5.67 fof(f1163,plain,(
% 0.15/5.67 ~sP16_prd|sP17_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1162])).
% 0.15/5.67 fof(f1164,plain,(
% 0.15/5.67 sP17_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1163,f1154])).
% 0.15/5.67 fof(f1171,plain,(
% 0.15/5.67 ~sP17_prd|sP18_prd|~e0=e0),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f29,f225])).
% 0.15/5.67 fof(f1172,plain,(
% 0.15/5.67 ~sP17_prd|sP18_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1171])).
% 0.15/5.67 fof(f1173,plain,(
% 0.15/5.67 sP18_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1172,f1164])).
% 0.15/5.67 fof(f1179,plain,(
% 0.15/5.67 ~sP18_prd|sP19_prd|~e0=e0),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f32,f234])).
% 0.15/5.67 fof(f1180,plain,(
% 0.15/5.67 ~sP18_prd|sP19_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1179])).
% 0.15/5.67 fof(f1181,plain,(
% 0.15/5.67 sP19_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1180,f1173])).
% 0.15/5.67 fof(f1189,plain,(
% 0.15/5.67 ~sP19_prd|sP20_prd|~e4=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f33,f246])).
% 0.15/5.67 fof(f1190,plain,(
% 0.15/5.67 ~sP19_prd|sP20_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1189])).
% 0.15/5.67 fof(f1191,plain,(
% 0.15/5.67 sP20_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1190,f1181])).
% 0.15/5.67 fof(f1197,plain,(
% 0.15/5.67 ~sP20_prd|sP21_prd|~e4=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f27,f254])).
% 0.15/5.67 fof(f1198,plain,(
% 0.15/5.67 ~sP20_prd|sP21_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1197])).
% 0.15/5.67 fof(f1199,plain,(
% 0.15/5.67 sP21_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1198,f1191])).
% 0.15/5.67 fof(f1205,plain,(
% 0.15/5.67 ~sP21_prd|sP22_prd|~e3=e3),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f23,f264])).
% 0.15/5.67 fof(f1206,plain,(
% 0.15/5.67 ~sP21_prd|sP22_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1205])).
% 0.15/5.67 fof(f1207,plain,(
% 0.15/5.67 sP22_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1206,f1199])).
% 0.15/5.67 fof(f1216,plain,(
% 0.15/5.67 ~sP22_prd|sP23_prd|~e3=e3),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f30,f277])).
% 0.15/5.67 fof(f1217,plain,(
% 0.15/5.67 ~sP22_prd|sP23_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1216])).
% 0.15/5.67 fof(f1218,plain,(
% 0.15/5.67 sP23_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1217,f1207])).
% 0.15/5.67 fof(f1223,plain,(
% 0.15/5.67 ~sP23_prd|sP24_prd|~e2=e2),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f18,f283])).
% 0.15/5.67 fof(f1224,plain,(
% 0.15/5.67 ~sP23_prd|sP24_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1223])).
% 0.15/5.67 fof(f1225,plain,(
% 0.15/5.67 sP24_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1224,f1218])).
% 0.15/5.67 fof(f1230,plain,(
% 0.15/5.67 ~sP24_prd|sP25_prd|~e2=e2),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f26,f293])).
% 0.15/5.67 fof(f1231,plain,(
% 0.15/5.67 ~sP24_prd|sP25_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1230])).
% 0.15/5.67 fof(f1232,plain,(
% 0.15/5.67 sP25_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1231,f1225])).
% 0.15/5.67 fof(f1239,plain,(
% 0.15/5.67 ~sP25_prd|sP26_prd|~e1=e1),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f28,f305])).
% 0.15/5.67 fof(f1240,plain,(
% 0.15/5.67 ~sP25_prd|sP26_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1239])).
% 0.15/5.67 fof(f1241,plain,(
% 0.15/5.67 sP26_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1240,f1232])).
% 0.15/5.67 fof(f1248,plain,(
% 0.15/5.67 ~sP26_prd|sP27_prd|~e1=e1),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f28,f315])).
% 0.15/5.67 fof(f1249,plain,(
% 0.15/5.67 ~sP26_prd|sP27_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1248])).
% 0.15/5.67 fof(f1250,plain,(
% 0.15/5.67 sP27_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1249,f1241])).
% 0.15/5.67 fof(f1259,plain,(
% 0.15/5.67 ~sP27_prd|sP28_prd|~e0=e0),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f38,f327])).
% 0.15/5.67 fof(f1260,plain,(
% 0.15/5.67 ~sP27_prd|sP28_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1259])).
% 0.15/5.67 fof(f1261,plain,(
% 0.15/5.67 sP28_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1260,f1250])).
% 0.15/5.67 fof(f1269,plain,(
% 0.15/5.67 ~sP28_prd|sP29_prd|~e0=e0),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f29,f336])).
% 0.15/5.67 fof(f1270,plain,(
% 0.15/5.67 ~sP28_prd|sP29_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1269])).
% 0.15/5.67 fof(f1271,plain,(
% 0.15/5.67 sP29_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1270,f1261])).
% 0.15/5.67 fof(f1278,plain,(
% 0.15/5.67 ~sP29_prd|sP30_prd|~e4=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f27,f345])).
% 0.15/5.67 fof(f1279,plain,(
% 0.15/5.67 ~sP29_prd|sP30_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1278])).
% 0.15/5.67 fof(f1280,plain,(
% 0.15/5.67 sP30_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1279,f1271])).
% 0.15/5.67 fof(f1288,plain,(
% 0.15/5.67 ~sP30_prd|sP31_prd|~e4=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f24,f356])).
% 0.15/5.67 fof(f1289,plain,(
% 0.15/5.67 ~sP30_prd|sP31_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1288])).
% 0.15/5.67 fof(f1290,plain,(
% 0.15/5.67 sP31_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1289,f1280])).
% 0.15/5.67 fof(f1299,plain,(
% 0.15/5.67 ~sP31_prd|sP32_prd|~e3=e3),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f37,f367])).
% 0.15/5.67 fof(f1300,plain,(
% 0.15/5.67 ~sP31_prd|sP32_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1299])).
% 0.15/5.67 fof(f1301,plain,(
% 0.15/5.67 sP32_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1300,f1290])).
% 0.15/5.67 fof(f1308,plain,(
% 0.15/5.67 ~sP32_prd|sP33_prd|~e3=e3),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f23,f375])).
% 0.15/5.67 fof(f1309,plain,(
% 0.15/5.67 ~sP32_prd|sP33_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1308])).
% 0.15/5.67 fof(f1310,plain,(
% 0.15/5.67 sP33_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1309,f1301])).
% 0.15/5.67 fof(f1316,plain,(
% 0.15/5.67 ~sP33_prd|sP34_prd|~e2=e2),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f22,f384])).
% 0.15/5.67 fof(f1317,plain,(
% 0.15/5.67 ~sP33_prd|sP34_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1316])).
% 0.15/5.67 fof(f1318,plain,(
% 0.15/5.67 sP34_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1317,f1310])).
% 0.15/5.67 fof(f1324,plain,(
% 0.15/5.67 ~sP34_prd|sP35_prd|~e2=e2),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f22,f394])).
% 0.15/5.67 fof(f1325,plain,(
% 0.15/5.67 ~sP34_prd|sP35_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1324])).
% 0.15/5.67 fof(f1326,plain,(
% 0.15/5.67 sP35_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1325,f1318])).
% 0.15/5.67 fof(f1331,plain,(
% 0.15/5.67 ~sP35_prd|sP36_prd|~e1=e1),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f17,f403])).
% 0.15/5.67 fof(f1332,plain,(
% 0.15/5.67 ~sP35_prd|sP36_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1331])).
% 0.15/5.67 fof(f1333,plain,(
% 0.15/5.67 sP36_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1332,f1326])).
% 0.15/5.67 fof(f1338,plain,(
% 0.15/5.67 ~sP36_prd|sP37_prd|~e1=e1),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f21,f413])).
% 0.15/5.67 fof(f1339,plain,(
% 0.15/5.67 ~sP36_prd|sP37_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1338])).
% 0.15/5.67 fof(f1340,plain,(
% 0.15/5.67 sP37_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1339,f1333])).
% 0.15/5.67 fof(f1348,plain,(
% 0.15/5.67 ~sP37_prd|sP38_prd|~e0=e0),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f32,f426])).
% 0.15/5.67 fof(f1349,plain,(
% 0.15/5.67 ~sP37_prd|sP38_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1348])).
% 0.15/5.67 fof(f1350,plain,(
% 0.15/5.67 sP38_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1349,f1340])).
% 0.15/5.67 fof(f1359,plain,(
% 0.15/5.67 ~sP38_prd|sP39_prd|~e0=e0),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f25,f437])).
% 0.15/5.67 fof(f1360,plain,(
% 0.15/5.67 ~sP38_prd|sP39_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1359])).
% 0.15/5.67 fof(f1361,plain,(
% 0.15/5.67 sP39_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1360,f1350])).
% 0.15/5.67 fof(f1370,plain,(
% 0.15/5.67 ~sP39_prd|sP40_prd|~e4=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f36,f447])).
% 0.15/5.67 fof(f1371,plain,(
% 0.15/5.67 ~sP39_prd|sP40_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1370])).
% 0.15/5.67 fof(f1372,plain,(
% 0.15/5.67 sP40_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1371,f1361])).
% 0.15/5.67 fof(f1381,plain,(
% 0.15/5.67 ~sP40_prd|sP41_prd|~e4=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f20,f457])).
% 0.15/5.67 fof(f1382,plain,(
% 0.15/5.67 ~sP40_prd|sP41_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1381])).
% 0.15/5.67 fof(f1383,plain,(
% 0.15/5.67 sP41_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1382,f1372])).
% 0.15/5.67 fof(f1391,plain,(
% 0.15/5.67 ~sP41_prd|sP42_prd|~e3=e3),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f31,f466])).
% 0.15/5.67 fof(f1392,plain,(
% 0.15/5.67 ~sP41_prd|sP42_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1391])).
% 0.15/5.67 fof(f1393,plain,(
% 0.15/5.67 sP42_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1392,f1383])).
% 0.15/5.67 fof(f1401,plain,(
% 0.15/5.67 ~sP42_prd|sP43_prd|~e3=e3),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f19,f476])).
% 0.15/5.67 fof(f1402,plain,(
% 0.15/5.67 ~sP42_prd|sP43_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1401])).
% 0.15/5.67 fof(f1403,plain,(
% 0.15/5.67 sP43_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1402,f1393])).
% 0.15/5.67 fof(f1410,plain,(
% 0.15/5.67 ~sP43_prd|sP44_prd|~e2=e2),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f26,f485])).
% 0.15/5.67 fof(f1411,plain,(
% 0.15/5.67 ~sP43_prd|sP44_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1410])).
% 0.15/5.67 fof(f1412,plain,(
% 0.15/5.67 sP44_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1411,f1403])).
% 0.15/5.67 fof(f1419,plain,(
% 0.15/5.67 ~sP44_prd|sP45_prd|~e2=e2),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f18,f495])).
% 0.15/5.67 fof(f1420,plain,(
% 0.15/5.67 ~sP44_prd|sP45_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1419])).
% 0.15/5.67 fof(f1421,plain,(
% 0.15/5.67 sP45_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1420,f1412])).
% 0.15/5.67 fof(f1427,plain,(
% 0.15/5.67 ~sP45_prd|sP46_prd|~e1=e1),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f21,f504])).
% 0.15/5.67 fof(f1428,plain,(
% 0.15/5.67 ~sP45_prd|sP46_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1427])).
% 0.15/5.67 fof(f1429,plain,(
% 0.15/5.67 sP46_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1428,f1421])).
% 0.15/5.67 fof(f1435,plain,(
% 0.15/5.67 ~sP46_prd|sP47_prd|~e1=e1),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f17,f514])).
% 0.15/5.67 fof(f1436,plain,(
% 0.15/5.67 ~sP46_prd|sP47_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1435])).
% 0.15/5.67 fof(f1437,plain,(
% 0.15/5.67 sP47_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1436,f1429])).
% 0.15/5.67 fof(f1442,plain,(
% 0.15/5.67 ~sP47_prd|sP48_prd|~e0=e0),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f16,f523])).
% 0.15/5.67 fof(f1443,plain,(
% 0.15/5.67 ~sP47_prd|sP48_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1442])).
% 0.15/5.67 fof(f1444,plain,(
% 0.15/5.67 sP48_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1443,f1437])).
% 0.15/5.67 fof(f1449,plain,(
% 0.15/5.67 ~sP48_prd|sP49_prd|~e0=e0),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f16,f533])).
% 0.15/5.67 fof(f1450,plain,(
% 0.15/5.67 ~sP48_prd|sP49_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1449])).
% 0.15/5.67 fof(f1451,plain,(
% 0.15/5.67 sP49_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1450,f1444])).
% 0.15/5.67 fof(f1456,plain,(
% 0.15/5.67 ~sP49_prd|sP50_prd|~e0=e0),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f41,f543])).
% 0.15/5.67 fof(f1457,plain,(
% 0.15/5.67 ~sP49_prd|sP50_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1456])).
% 0.15/5.67 fof(f1458,plain,(
% 0.15/5.67 sP50_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1457,f1451])).
% 0.15/5.67 fof(f1486,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~op(unit,e0)=e0|~op(e0,unit)=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f40,f554])).
% 0.15/5.67 fof(f1487,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~op(e0,e0)=e0|~op(e0,unit)=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f41,f1486])).
% 0.15/5.67 fof(f1488,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~op(e0,unit)=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f16,f1487])).
% 0.15/5.67 fof(f1489,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~op(e0,e0)=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f41,f1488])).
% 0.15/5.67 fof(f1490,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~op(unit,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f16,f1489])).
% 0.15/5.67 fof(f1491,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~op(e0,e1)=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f41,f1490])).
% 0.15/5.67 fof(f1492,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~op(e1,unit)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f17,f1491])).
% 0.15/5.67 fof(f1493,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~op(e1,e0)=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f41,f1492])).
% 0.15/5.67 fof(f1494,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~op(unit,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f21,f1493])).
% 0.15/5.67 fof(f1495,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~op(e0,e2)=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f41,f1494])).
% 0.15/5.67 fof(f1496,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~op(e2,unit)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f18,f1495])).
% 0.15/5.67 fof(f1497,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~op(e2,e0)=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f41,f1496])).
% 0.15/5.67 fof(f1498,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~op(unit,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f26,f1497])).
% 0.15/5.67 fof(f1499,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~op(e0,e3)=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f41,f1498])).
% 0.15/5.67 fof(f1500,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~op(e3,unit)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f19,f1499])).
% 0.15/5.67 fof(f1501,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~op(e3,e0)=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f41,f1500])).
% 0.15/5.67 fof(f1502,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~op(unit,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f31,f1501])).
% 0.15/5.67 fof(f1503,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~op(e0,e4)=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f41,f1502])).
% 0.15/5.67 fof(f1504,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e4=e4|~op(e4,unit)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f20,f1503])).
% 0.15/5.67 fof(f1505,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e4=e4|~op(e4,e0)=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f41,f1504])).
% 0.15/5.67 fof(f1506,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e4=e4|~e4=e4),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f36,f1505])).
% 0.15/5.67 fof(f1507,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd|~e1=e1|~e0=e0|~e2=e2|~e3=e3|~e4=e4),
% 0.15/5.67 inference(duplicate_literals_removal,[status(thm)],[f1506])).
% 0.15/5.67 fof(f1508,plain,(
% 0.15/5.67 ~sP50_prd|sP51_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1507])).
% 0.15/5.67 fof(f1509,plain,(
% 0.15/5.67 sP51_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1508,f1458])).
% 0.15/5.67 fof(f1592,plain,(
% 0.15/5.67 ~sP51_prd|sP52_prd|~e2=e2),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f39,f575])).
% 0.15/5.67 fof(f1593,plain,(
% 0.15/5.67 ~sP51_prd|sP52_prd),
% 0.15/5.67 inference(trivial_equality_resolution,[status(thm)],[f1592])).
% 0.15/5.67 fof(f1594,plain,(
% 0.15/5.67 sP52_prd),
% 0.15/5.67 inference(forward_subsumption_resolution,[status(thm)],[f1593,f1509])).
% 0.15/5.67 fof(f1599,plain,(
% 0.15/5.67 ~sP52_prd|sP53_prd|~e0=e0),
% 0.15/5.67 inference(forward_demodulation,[status(thm)],[f38,f583])).
% 0.15/5.67 fof(f1600,plain,(
% 0.15/5.67 ~sP52_prd|sP53_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1599])).
% 0.15/5.68 fof(f1601,plain,(
% 0.15/5.68 sP53_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1600,f1594])).
% 0.15/5.68 fof(f1609,plain,(
% 0.15/5.68 ~sP53_prd|sP54_prd|~e3=e3),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f37,f596])).
% 0.15/5.68 fof(f1610,plain,(
% 0.15/5.68 ~sP53_prd|sP54_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1609])).
% 0.15/5.68 fof(f1611,plain,(
% 0.15/5.68 sP54_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1610,f1601])).
% 0.15/5.68 fof(f1620,plain,(
% 0.15/5.68 ~sP54_prd|sP55_prd|~e4=e4),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f36,f607])).
% 0.15/5.68 fof(f1621,plain,(
% 0.15/5.68 ~sP54_prd|sP55_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1620])).
% 0.15/5.68 fof(f1622,plain,(
% 0.15/5.68 sP55_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1621,f1611])).
% 0.15/5.68 fof(f1629,plain,(
% 0.15/5.68 ~sP55_prd|sP56_prd|~e2=e2),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f35,f615])).
% 0.15/5.68 fof(f1630,plain,(
% 0.15/5.68 ~sP55_prd|sP56_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1629])).
% 0.15/5.68 fof(f1631,plain,(
% 0.15/5.68 sP56_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1630,f1622])).
% 0.15/5.68 fof(f1637,plain,(
% 0.15/5.68 ~sP56_prd|sP57_prd|~e1=e1),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f34,f624])).
% 0.15/5.68 fof(f1638,plain,(
% 0.15/5.68 ~sP56_prd|sP57_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1637])).
% 0.15/5.68 fof(f1639,plain,(
% 0.15/5.68 sP57_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1638,f1631])).
% 0.15/5.68 fof(f1648,plain,(
% 0.15/5.68 ~sP57_prd|sP58_prd|~e4=e4),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f33,f637])).
% 0.15/5.68 fof(f1649,plain,(
% 0.15/5.68 ~sP57_prd|sP58_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1648])).
% 0.15/5.68 fof(f1650,plain,(
% 0.15/5.68 sP58_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1649,f1639])).
% 0.15/5.68 fof(f1655,plain,(
% 0.15/5.68 ~sP58_prd|sP59_prd|~e0=e0),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f32,f643])).
% 0.15/5.68 fof(f1656,plain,(
% 0.15/5.68 ~sP58_prd|sP59_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1655])).
% 0.15/5.68 fof(f1657,plain,(
% 0.15/5.68 sP59_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1656,f1650])).
% 0.15/5.68 fof(f1665,plain,(
% 0.15/5.68 ~sP59_prd|sP60_prd|~e3=e3),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f31,f656])).
% 0.15/5.68 fof(f1666,plain,(
% 0.15/5.68 ~sP59_prd|sP60_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1665])).
% 0.15/5.68 fof(f1667,plain,(
% 0.15/5.68 sP60_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1666,f1657])).
% 0.15/5.68 fof(f1675,plain,(
% 0.15/5.68 ~sP60_prd|sP61_prd|~e3=e3),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f30,f666])).
% 0.15/5.68 fof(f1676,plain,(
% 0.15/5.68 ~sP60_prd|sP61_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1675])).
% 0.15/5.68 fof(f1677,plain,(
% 0.15/5.68 sP61_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1676,f1667])).
% 0.15/5.68 fof(f1682,plain,(
% 0.15/5.68 ~sP61_prd|sP62_prd|~e0=e0),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f29,f673])).
% 0.15/5.68 fof(f1683,plain,(
% 0.15/5.68 ~sP61_prd|sP62_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1682])).
% 0.15/5.68 fof(f1684,plain,(
% 0.15/5.68 sP62_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1683,f1677])).
% 0.15/5.68 fof(f1690,plain,(
% 0.15/5.68 ~sP62_prd|sP63_prd|~e1=e1),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f28,f684])).
% 0.15/5.68 fof(f1691,plain,(
% 0.15/5.68 ~sP62_prd|sP63_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1690])).
% 0.15/5.68 fof(f1692,plain,(
% 0.15/5.68 sP63_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1691,f1684])).
% 0.15/5.68 fof(f1701,plain,(
% 0.15/5.68 ~sP63_prd|sP64_prd|~e4=e4),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f27,f697])).
% 0.15/5.68 fof(f1702,plain,(
% 0.15/5.68 ~sP63_prd|sP64_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1701])).
% 0.15/5.68 fof(f1703,plain,(
% 0.15/5.68 sP64_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1702,f1692])).
% 0.15/5.68 fof(f1710,plain,(
% 0.15/5.68 ~sP64_prd|sP65_prd|~e2=e2),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f26,f705])).
% 0.15/5.68 fof(f1711,plain,(
% 0.15/5.68 ~sP64_prd|sP65_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1710])).
% 0.15/5.68 fof(f1712,plain,(
% 0.15/5.68 sP65_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1711,f1703])).
% 0.15/5.68 fof(f1717,plain,(
% 0.15/5.68 ~sP65_prd|sP66_prd|~e0=e0),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f25,f713])).
% 0.15/5.68 fof(f1718,plain,(
% 0.15/5.68 ~sP65_prd|sP66_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1717])).
% 0.15/5.68 fof(f1719,plain,(
% 0.15/5.68 sP66_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1718,f1712])).
% 0.15/5.68 fof(f1728,plain,(
% 0.15/5.68 ~sP66_prd|sP67_prd|~e4=e4),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f24,f727])).
% 0.15/5.68 fof(f1729,plain,(
% 0.15/5.68 ~sP66_prd|sP67_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1728])).
% 0.15/5.68 fof(f1730,plain,(
% 0.15/5.68 sP67_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1729,f1719])).
% 0.15/5.68 fof(f1738,plain,(
% 0.15/5.68 ~sP67_prd|sP68_prd|~e3=e3),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f23,f736])).
% 0.15/5.68 fof(f1739,plain,(
% 0.15/5.68 ~sP67_prd|sP68_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1738])).
% 0.15/5.68 fof(f1740,plain,(
% 0.15/5.68 sP68_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1739,f1730])).
% 0.15/5.68 fof(f1747,plain,(
% 0.15/5.68 ~sP68_prd|sP69_prd|~e2=e2),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f22,f745])).
% 0.15/5.68 fof(f1748,plain,(
% 0.15/5.68 ~sP68_prd|sP69_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1747])).
% 0.15/5.68 fof(f1749,plain,(
% 0.15/5.68 sP69_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1748,f1740])).
% 0.15/5.68 fof(f1755,plain,(
% 0.15/5.68 ~sP69_prd|sP70_prd|~e1=e1),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f21,f754])).
% 0.15/5.68 fof(f1756,plain,(
% 0.15/5.68 ~sP69_prd|sP70_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1755])).
% 0.15/5.68 fof(f1757,plain,(
% 0.15/5.68 sP70_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1756,f1749])).
% 0.15/5.68 fof(f1766,plain,(
% 0.15/5.68 ~sP70_prd|sP71_prd|~e4=e4),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f20,f767])).
% 0.15/5.68 fof(f1767,plain,(
% 0.15/5.68 ~sP70_prd|sP71_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1766])).
% 0.15/5.68 fof(f1768,plain,(
% 0.15/5.68 sP71_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1767,f1757])).
% 0.15/5.68 fof(f1776,plain,(
% 0.15/5.68 ~sP71_prd|sP72_prd|~e3=e3),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f19,f776])).
% 0.15/5.68 fof(f1777,plain,(
% 0.15/5.68 ~sP71_prd|sP72_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1776])).
% 0.15/5.68 fof(f1778,plain,(
% 0.15/5.68 sP72_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1777,f1768])).
% 0.15/5.68 fof(f1785,plain,(
% 0.15/5.68 ~sP72_prd|sP73_prd|~e2=e2),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f18,f785])).
% 0.15/5.68 fof(f1786,plain,(
% 0.15/5.68 ~sP72_prd|sP73_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1785])).
% 0.15/5.68 fof(f1787,plain,(
% 0.15/5.68 sP73_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1786,f1778])).
% 0.15/5.68 fof(f1793,plain,(
% 0.15/5.68 ~sP73_prd|sP74_prd|~e1=e1),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f17,f794])).
% 0.15/5.68 fof(f1794,plain,(
% 0.15/5.68 ~sP73_prd|sP74_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1793])).
% 0.15/5.68 fof(f1795,plain,(
% 0.15/5.68 sP74_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1794,f1787])).
% 0.15/5.68 fof(f1800,plain,(
% 0.15/5.68 ~sP74_prd|sP75_prd|~e0=e0),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f16,f803])).
% 0.15/5.68 fof(f1801,plain,(
% 0.15/5.68 ~sP74_prd|sP75_prd),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1800])).
% 0.15/5.68 fof(f1802,plain,(
% 0.15/5.68 sP75_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1801,f1795])).
% 0.15/5.68 fof(f1807,plain,(
% 0.15/5.68 sP76_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f813,f1802])).
% 0.15/5.68 fof(f1811,plain,(
% 0.15/5.68 sP77_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f821,f1807])).
% 0.15/5.68 fof(f1818,plain,(
% 0.15/5.68 sP78_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f829,f1811])).
% 0.15/5.68 fof(f1825,plain,(
% 0.15/5.68 sP79_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f837,f1818])).
% 0.15/5.68 fof(f1832,plain,(
% 0.15/5.68 sP80_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f845,f1825])).
% 0.15/5.68 fof(f1839,plain,(
% 0.15/5.68 sP81_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f853,f1832])).
% 0.15/5.68 fof(f1846,plain,(
% 0.15/5.68 sP82_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f861,f1839])).
% 0.15/5.68 fof(f1850,plain,(
% 0.15/5.68 sP83_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f869,f1846])).
% 0.15/5.68 fof(f1857,plain,(
% 0.15/5.68 sP84_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f877,f1850])).
% 0.15/5.68 fof(f1864,plain,(
% 0.15/5.68 sP85_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f885,f1857])).
% 0.15/5.68 fof(f1871,plain,(
% 0.15/5.68 sP86_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f893,f1864])).
% 0.15/5.68 fof(f1878,plain,(
% 0.15/5.68 sP87_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f901,f1871])).
% 0.15/5.68 fof(f1885,plain,(
% 0.15/5.68 sP88_prd),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f909,f1878])).
% 0.15/5.68 fof(f1890,plain,(
% 0.15/5.68 ~sP88_prd|~e1=e1|~op(e1,e1)=e2|op(e2,e1)=e2),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f28,f918])).
% 0.15/5.68 fof(f1891,plain,(
% 0.15/5.68 ~sP88_prd|~e1=e1|~e2=e2|op(e2,e1)=e2),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f22,f1890])).
% 0.15/5.68 fof(f1892,plain,(
% 0.15/5.68 ~sP88_prd|~e1=e1|~e2=e2|e4=e2),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f27,f1891])).
% 0.15/5.68 fof(f1893,plain,(
% 0.15/5.68 ~sP88_prd|e4=e2),
% 0.15/5.68 inference(trivial_equality_resolution,[status(thm)],[f1892])).
% 0.15/5.68 fof(f1895,plain,(
% 0.15/5.68 op(e2,e3)=e2),
% 0.15/5.68 inference(backward_demodulation,[status(thm)],[f1910,f39])).
% 0.15/5.68 fof(f1910,plain,(
% 0.15/5.68 e4=e2),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f1893,f1885])).
% 0.15/5.68 fof(f2032,plain,(
% 0.15/5.68 e0=e2),
% 0.15/5.68 inference(forward_demodulation,[status(thm)],[f29,f1895])).
% 0.15/5.68 fof(f2033,plain,(
% 0.15/5.68 $false),
% 0.15/5.68 inference(forward_subsumption_resolution,[status(thm)],[f2032,f7])).
% 0.15/5.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.69 % Elapsed time: 0.165456 seconds
% 0.15/5.69 % CPU time: 0.342387 seconds
% 0.15/5.69 % Total memory used: 139.845 MB
% 0.15/5.69 % Net memory used: 139.207 MB
%------------------------------------------------------------------------------