%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG186+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:49:46 AM UTC 2026
% Result : Theorem 0.23s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG186+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
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 13:00:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.44 % Drodi V4.1.1
% 0.23/0.47 % Refutation found
% 0.23/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.47 fof(f1,axiom,(
% 0.23/0.47 ( e0 != e1& e0 != e2& e0 != e3& e0 != e4& e1 != e2& e1 != e3& e1 != e4& e2 != e3& e2 != e4& e3 != e4 ) ),
% 0.23/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.47 fof(f2,axiom,(
% 0.23/0.47 ( op(e0,e0) = e3& op(e0,e1) = e2& op(e0,e2) = e0& op(e0,e3) = e1& op(e0,e4) = e4& op(e1,e0) = e0& op(e1,e1) = e4& op(e1,e2) = e1& op(e1,e3) = e2& op(e1,e4) = e3& op(e2,e0) = e1& op(e2,e1) = e3& op(e2,e2) = e2& op(e2,e3) = e4& op(e2,e4) = e0& op(e3,e0) = e4& op(e3,e1) = e1& op(e3,e2) = e3& op(e3,e3) = e0& op(e3,e4) = e2& op(e4,e0) = e2& op(e4,e1) = e0& op(e4,e2) = e4& op(e4,e3) = e3& op(e4,e4) = e1 ) ),
% 0.23/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.47 fof(f3,conjecture,(
% 0.23/0.47 ( ( ( op(e0,e0) != e0& op(e1,e0) != e1& op(e2,e0) != e2& op(e3,e0) != e3& op(e4,e0) != e4 )| ( op(e0,e1) != e0& op(e1,e1) != e1& op(e2,e1) != e2& op(e3,e1) != e3& op(e4,e1) != e4 )| ( op(e0,e2) != e0& op(e1,e2) != e1& op(e2,e2) != e2& op(e3,e2) != e3& op(e4,e2) != e4 )| ( op(e0,e3) != e0& op(e1,e3) != e1& op(e2,e3) != e2& op(e3,e3) != e3& op(e4,e3) != e4 )| ( op(e0,e4) != e0& op(e1,e4) != e1& op(e2,e4) != e2& op(e3,e4) != e3& 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(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 )& op(op(e0,e0),op(e0,e0)) = e0& op(op(e1,e0),op(e0,e1)) = e0& op(op(e2,e0),op(e0,e2)) = e0& op(op(e3,e0),op(e0,e3)) = e0& op(op(e4,e0),op(e0,e4)) = e0& op(op(e0,e1),op(e1,e0)) = e1& op(op(e1,e1),op(e1,e1)) = e1& op(op(e2,e1),op(e1,e2)) = e1& op(op(e3,e1),op(e1,e3)) = e1& op(op(e4,e1),op(e1,e4)) = e1& op(op(e0,e2),op(e2,e0)) = e2& op(op(e1,e2),op(e2,e1)) = e2& op(op(e2,e2),op(e2,e2)) = e2& op(op(e3,e2),op(e2,e3)) = e2& op(op(e4,e2),op(e2,e4)) = e2& op(op(e0,e3),op(e3,e0)) = e3& op(op(e1,e3),op(e3,e1)) = e3& op(op(e2,e3),op(e3,e2)) = e3& op(op(e3,e3),op(e3,e3)) = e3& op(op(e4,e3),op(e3,e4)) = e3& op(op(e0,e4),op(e4,e0)) = e4& op(op(e1,e4),op(e4,e1)) = e4& op(op(e2,e4),op(e4,e2)) = e4& op(op(e3,e4),op(e4,e3)) = e4& op(op(e4,e4),op(e4,e4)) = e4 ) ),
% 0.23/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.47 fof(f4,negated_conjecture,(
% 0.23/0.47 ~(( ( ( op(e0,e0) != e0& op(e1,e0) != e1& op(e2,e0) != e2& op(e3,e0) != e3& op(e4,e0) != e4 )| ( op(e0,e1) != e0& op(e1,e1) != e1& op(e2,e1) != e2& op(e3,e1) != e3& op(e4,e1) != e4 )| ( op(e0,e2) != e0& op(e1,e2) != e1& op(e2,e2) != e2& op(e3,e2) != e3& op(e4,e2) != e4 )| ( op(e0,e3) != e0& op(e1,e3) != e1& op(e2,e3) != e2& op(e3,e3) != e3& op(e4,e3) != e4 )| ( op(e0,e4) != e0& op(e1,e4) != e1& op(e2,e4) != e2& op(e3,e4) != e3& 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(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 )& op(op(e0,e0),op(e0,e0)) = e0& op(op(e1,e0),op(e0,e1)) = e0& op(op(e2,e0),op(e0,e2)) = e0& op(op(e3,e0),op(e0,e3)) = e0& op(op(e4,e0),op(e0,e4)) = e0& op(op(e0,e1),op(e1,e0)) = e1& op(op(e1,e1),op(e1,e1)) = e1& op(op(e2,e1),op(e1,e2)) = e1& op(op(e3,e1),op(e1,e3)) = e1& op(op(e4,e1),op(e1,e4)) = e1& op(op(e0,e2),op(e2,e0)) = e2& op(op(e1,e2),op(e2,e1)) = e2& op(op(e2,e2),op(e2,e2)) = e2& op(op(e3,e2),op(e2,e3)) = e2& op(op(e4,e2),op(e2,e4)) = e2& op(op(e0,e3),op(e3,e0)) = e3& op(op(e1,e3),op(e3,e1)) = e3& op(op(e2,e3),op(e3,e2)) = e3& op(op(e3,e3),op(e3,e3)) = e3& op(op(e4,e3),op(e3,e4)) = e3& op(op(e0,e4),op(e4,e0)) = e4& op(op(e1,e4),op(e4,e1)) = e4& op(op(e2,e4),op(e4,e2)) = e4& op(op(e3,e4),op(e4,e3)) = e4& op(op(e4,e4),op(e4,e4)) = e4 ) )),
% 0.23/0.47 inference(negated_conjecture,[status(cth)],[f3])).
% 0.23/0.47 fof(f6,plain,(
% 0.23/0.47 ~e0=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.23/0.47 fof(f8,plain,(
% 0.23/0.47 ~e0=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.23/0.47 fof(f10,plain,(
% 0.23/0.47 ~e1=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.23/0.47 fof(f12,plain,(
% 0.23/0.47 ~e2=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.23/0.47 fof(f15,plain,(
% 0.23/0.47 op(e0,e0)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f16,plain,(
% 0.23/0.47 op(e0,e1)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f17,plain,(
% 0.23/0.47 op(e0,e2)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f18,plain,(
% 0.23/0.47 op(e0,e3)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f19,plain,(
% 0.23/0.47 op(e0,e4)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f20,plain,(
% 0.23/0.47 op(e1,e0)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f21,plain,(
% 0.23/0.47 op(e1,e1)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f22,plain,(
% 0.23/0.47 op(e1,e2)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f23,plain,(
% 0.23/0.47 op(e1,e3)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f24,plain,(
% 0.23/0.47 op(e1,e4)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f25,plain,(
% 0.23/0.47 op(e2,e0)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f26,plain,(
% 0.23/0.47 op(e2,e1)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f27,plain,(
% 0.23/0.47 op(e2,e2)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f28,plain,(
% 0.23/0.47 op(e2,e3)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f29,plain,(
% 0.23/0.47 op(e2,e4)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f30,plain,(
% 0.23/0.47 op(e3,e0)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f31,plain,(
% 0.23/0.47 op(e3,e1)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f32,plain,(
% 0.23/0.47 op(e3,e2)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f33,plain,(
% 0.23/0.47 op(e3,e3)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f34,plain,(
% 0.23/0.47 op(e3,e4)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f35,plain,(
% 0.23/0.47 op(e4,e0)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f36,plain,(
% 0.23/0.47 op(e4,e1)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f37,plain,(
% 0.23/0.47 op(e4,e2)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f38,plain,(
% 0.23/0.47 op(e4,e3)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f39,plain,(
% 0.23/0.47 op(e4,e4)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.47 fof(f40,plain,(
% 0.23/0.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))|~op(op(e0,e0),op(e0,e0))=e0)|~op(op(e1,e0),op(e0,e1))=e0)|~op(op(e2,e0),op(e0,e2))=e0)|~op(op(e3,e0),op(e0,e3))=e0)|~op(op(e4,e0),op(e0,e4))=e0)|~op(op(e0,e1),op(e1,e0))=e1)|~op(op(e1,e1),op(e1,e1))=e1)|~op(op(e2,e1),op(e1,e2))=e1)|~op(op(e3,e1),op(e1,e3))=e1)|~op(op(e4,e1),op(e1,e4))=e1)|~op(op(e0,e2),op(e2,e0))=e2)|~op(op(e1,e2),op(e2,e1))=e2)|~op(op(e2,e2),op(e2,e2))=e2)|~op(op(e3,e2),op(e2,e3))=e2)|~op(op(e4,e2),op(e2,e4))=e2)|~op(op(e0,e3),op(e3,e0))=e3)|~op(op(e1,e3),op(e3,e1))=e3)|~op(op(e2,e3),op(e3,e2))=e3)|~op(op(e3,e3),op(e3,e3))=e3)|~op(op(e4,e3),op(e3,e4))=e3)|~op(op(e0,e4),op(e4,e0))=e4)|~op(op(e1,e4),op(e4,e1))=e4)|~op(op(e2,e4),op(e4,e2))=e4)|~op(op(e3,e4),op(e4,e3))=e4)|~op(op(e4,e4),op(e4,e4))=e4)),
% 0.23/0.47 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.23/0.47 fof(f41,definition,(
% 0.23/0.47 sP0_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.23/0.47 fof(f42,plain,(
% 0.23/0.47 (((((((((((((((((((((((((sP0_prd|((((~op(e0,e4)=e4&~op(e1,e4)=e4)&~op(e2,e4)=e4)&~op(e3,e4)=e4)&~op(e4,e4)=e4))|~op(op(e0,e0),op(e0,e0))=e0)|~op(op(e1,e0),op(e0,e1))=e0)|~op(op(e2,e0),op(e0,e2))=e0)|~op(op(e3,e0),op(e0,e3))=e0)|~op(op(e4,e0),op(e0,e4))=e0)|~op(op(e0,e1),op(e1,e0))=e1)|~op(op(e1,e1),op(e1,e1))=e1)|~op(op(e2,e1),op(e1,e2))=e1)|~op(op(e3,e1),op(e1,e3))=e1)|~op(op(e4,e1),op(e1,e4))=e1)|~op(op(e0,e2),op(e2,e0))=e2)|~op(op(e1,e2),op(e2,e1))=e2)|~op(op(e2,e2),op(e2,e2))=e2)|~op(op(e3,e2),op(e2,e3))=e2)|~op(op(e4,e2),op(e2,e4))=e2)|~op(op(e0,e3),op(e3,e0))=e3)|~op(op(e1,e3),op(e3,e1))=e3)|~op(op(e2,e3),op(e3,e2))=e3)|~op(op(e3,e3),op(e3,e3))=e3)|~op(op(e4,e3),op(e3,e4))=e3)|~op(op(e0,e4),op(e4,e0))=e4)|~op(op(e1,e4),op(e4,e1))=e4)|~op(op(e2,e4),op(e4,e2))=e4)|~op(op(e3,e4),op(e4,e3))=e4)|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f40,f41])).
% 0.23/0.47 fof(f43,plain,(
% 0.23/0.47 sP0_prd|~op(e0,e4)=e4|~op(op(e0,e0),op(e0,e0))=e0|~op(op(e1,e0),op(e0,e1))=e0|~op(op(e2,e0),op(e0,e2))=e0|~op(op(e3,e0),op(e0,e3))=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f42])).
% 0.23/0.47 fof(f48,definition,(
% 0.23/0.47 sP1_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.23/0.47 fof(f49,plain,(
% 0.23/0.47 sP0_prd<=>(sP1_prd|((((~op(e4,e0)=e4&~op(e4,e1)=e4)&~op(e4,e2)=e4)&~op(e4,e3)=e4)&~op(e4,e4)=e4))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f41,f48])).
% 0.23/0.47 fof(f50,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f49])).
% 0.23/0.47 fof(f53,plain,(
% 0.23/0.47 ~sP0_prd|sP1_prd|~op(e4,e2)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f50])).
% 0.23/0.47 fof(f58,definition,(
% 0.23/0.47 sP2_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.23/0.47 fof(f59,plain,(
% 0.23/0.47 sP1_prd<=>(sP2_prd|((((~op(e0,e4)=e3&~op(e1,e4)=e3)&~op(e2,e4)=e3)&~op(e3,e4)=e3)&~op(e4,e4)=e3))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f48,f58])).
% 0.23/0.47 fof(f60,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f59])).
% 0.23/0.47 fof(f62,plain,(
% 0.23/0.47 ~sP1_prd|sP2_prd|~op(e1,e4)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f60])).
% 0.23/0.47 fof(f68,definition,(
% 0.23/0.47 sP3_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.23/0.47 fof(f69,plain,(
% 0.23/0.47 sP2_prd<=>(sP3_prd|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f58,f68])).
% 0.23/0.47 fof(f70,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f69])).
% 0.23/0.47 fof(f74,plain,(
% 0.23/0.47 ~sP2_prd|sP3_prd|~op(e4,e3)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f70])).
% 0.23/0.47 fof(f78,definition,(
% 0.23/0.47 sP4_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 0.23/0.47 fof(f79,plain,(
% 0.23/0.47 sP3_prd<=>(sP4_prd|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f68,f78])).
% 0.23/0.47 fof(f80,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f79])).
% 0.23/0.47 fof(f84,plain,(
% 0.23/0.47 ~sP3_prd|sP4_prd|~op(e3,e4)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f80])).
% 0.23/0.47 fof(f88,definition,(
% 0.23/0.47 sP5_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.23/0.47 fof(f89,plain,(
% 0.23/0.47 sP4_prd<=>(sP5_prd|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f78,f88])).
% 0.23/0.47 fof(f90,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f89])).
% 0.23/0.47 fof(f91,plain,(
% 0.23/0.47 ~sP4_prd|sP5_prd|~op(e4,e0)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f90])).
% 0.23/0.47 fof(f98,definition,(
% 0.23/0.47 sP6_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 0.23/0.47 fof(f99,plain,(
% 0.23/0.47 sP5_prd<=>(sP6_prd|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f88,f98])).
% 0.23/0.47 fof(f100,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f99])).
% 0.23/0.47 fof(f105,plain,(
% 0.23/0.47 ~sP5_prd|sP6_prd|~op(e4,e4)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f100])).
% 0.23/0.47 fof(f108,definition,(
% 0.23/0.47 sP7_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 0.23/0.47 fof(f109,plain,(
% 0.23/0.47 sP6_prd<=>(sP7_prd|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f98,f108])).
% 0.23/0.47 fof(f110,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f109])).
% 0.23/0.47 fof(f115,plain,(
% 0.23/0.47 ~sP6_prd|sP7_prd|~op(e4,e4)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f110])).
% 0.23/0.47 fof(f118,definition,(
% 0.23/0.47 sP8_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 0.23/0.47 fof(f119,plain,(
% 0.23/0.47 sP7_prd<=>(sP8_prd|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f108,f118])).
% 0.23/0.47 fof(f120,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f119])).
% 0.23/0.47 fof(f123,plain,(
% 0.23/0.47 ~sP7_prd|sP8_prd|~op(e2,e4)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f120])).
% 0.23/0.47 fof(f128,definition,(
% 0.23/0.47 sP9_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 0.23/0.47 fof(f129,plain,(
% 0.23/0.47 sP8_prd<=>(sP9_prd|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f118,f128])).
% 0.23/0.47 fof(f130,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f129])).
% 0.23/0.47 fof(f132,plain,(
% 0.23/0.47 ~sP8_prd|sP9_prd|~op(e4,e1)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f130])).
% 0.23/0.47 fof(f138,definition,(
% 0.23/0.47 sP10_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 0.23/0.47 fof(f139,plain,(
% 0.23/0.47 sP9_prd<=>(sP10_prd|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f128,f138])).
% 0.23/0.47 fof(f140,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f139])).
% 0.23/0.47 fof(f143,plain,(
% 0.23/0.47 ~sP9_prd|sP10_prd|~op(e2,e3)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f140])).
% 0.23/0.47 fof(f148,definition,(
% 0.23/0.47 sP11_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 0.23/0.47 fof(f149,plain,(
% 0.23/0.47 sP10_prd<=>(sP11_prd|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f138,f148])).
% 0.23/0.47 fof(f150,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f149])).
% 0.23/0.47 fof(f151,plain,(
% 0.23/0.47 ~sP10_prd|sP11_prd|~op(e3,e0)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f150])).
% 0.23/0.47 fof(f158,definition,(
% 0.23/0.47 sP12_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 0.23/0.47 fof(f159,plain,(
% 0.23/0.47 sP11_prd<=>(sP12_prd|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f148,f158])).
% 0.23/0.47 fof(f160,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f159])).
% 0.23/0.47 fof(f165,plain,(
% 0.23/0.47 ~sP11_prd|sP12_prd|~op(e4,e3)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f160])).
% 0.23/0.47 fof(f168,definition,(
% 0.23/0.47 sP13_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 0.23/0.47 fof(f169,plain,(
% 0.23/0.47 sP12_prd<=>(sP13_prd|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f158,f168])).
% 0.23/0.47 fof(f170,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f169])).
% 0.23/0.47 fof(f173,plain,(
% 0.23/0.47 ~sP12_prd|sP13_prd|~op(e3,e2)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f170])).
% 0.23/0.47 fof(f178,definition,(
% 0.23/0.47 sP14_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 0.23/0.47 fof(f179,plain,(
% 0.23/0.47 sP13_prd<=>(sP14_prd|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f168,f178])).
% 0.23/0.47 fof(f180,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f179])).
% 0.23/0.47 fof(f182,plain,(
% 0.23/0.47 ~sP13_prd|sP14_prd|~op(e1,e3)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f180])).
% 0.23/0.47 fof(f188,definition,(
% 0.23/0.47 sP15_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 0.23/0.47 fof(f189,plain,(
% 0.23/0.47 sP14_prd<=>(sP15_prd|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f178,f188])).
% 0.23/0.47 fof(f190,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f189])).
% 0.23/0.47 fof(f195,plain,(
% 0.23/0.47 ~sP14_prd|sP15_prd|~op(e3,e4)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f190])).
% 0.23/0.47 fof(f198,definition,(
% 0.23/0.47 sP16_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP16_prd])],[])).
% 0.23/0.47 fof(f199,plain,(
% 0.23/0.47 sP15_prd<=>(sP16_prd|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f188,f198])).
% 0.23/0.47 fof(f200,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f199])).
% 0.23/0.47 fof(f201,plain,(
% 0.23/0.47 ~sP15_prd|sP16_prd|~op(e0,e3)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f200])).
% 0.23/0.47 fof(f208,definition,(
% 0.23/0.47 sP17_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 0.23/0.47 fof(f209,plain,(
% 0.23/0.47 sP16_prd<=>(sP17_prd|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f198,f208])).
% 0.23/0.47 fof(f210,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f209])).
% 0.23/0.47 fof(f212,plain,(
% 0.23/0.47 ~sP16_prd|sP17_prd|~op(e3,e1)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f210])).
% 0.23/0.47 fof(f218,definition,(
% 0.23/0.47 sP18_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 0.23/0.47 fof(f219,plain,(
% 0.23/0.47 sP17_prd<=>(sP18_prd|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f208,f218])).
% 0.23/0.47 fof(f220,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f219])).
% 0.23/0.47 fof(f224,plain,(
% 0.23/0.47 ~sP17_prd|sP18_prd|~op(e3,e3)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f220])).
% 0.23/0.47 fof(f228,definition,(
% 0.23/0.47 sP19_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 0.23/0.47 fof(f229,plain,(
% 0.23/0.47 sP18_prd<=>(sP19_prd|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f218,f228])).
% 0.23/0.47 fof(f230,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f229])).
% 0.23/0.47 fof(f234,plain,(
% 0.23/0.47 ~sP18_prd|sP19_prd|~op(e3,e3)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f230])).
% 0.23/0.47 fof(f238,definition,(
% 0.23/0.47 sP20_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP20_prd])],[])).
% 0.23/0.47 fof(f239,plain,(
% 0.23/0.47 sP19_prd<=>(sP20_prd|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f228,f238])).
% 0.23/0.47 fof(f240,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f239])).
% 0.23/0.47 fof(f245,plain,(
% 0.23/0.47 ~sP19_prd|sP20_prd|~op(e4,e2)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f240])).
% 0.23/0.47 fof(f248,definition,(
% 0.23/0.47 sP21_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 0.23/0.47 fof(f249,plain,(
% 0.23/0.47 sP20_prd<=>(sP21_prd|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f238,f248])).
% 0.23/0.47 fof(f250,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f249])).
% 0.23/0.47 fof(f254,plain,(
% 0.23/0.47 ~sP20_prd|sP21_prd|~op(e2,e3)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f250])).
% 0.23/0.47 fof(f258,definition,(
% 0.23/0.47 sP22_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 0.23/0.47 fof(f259,plain,(
% 0.23/0.47 sP21_prd<=>(sP22_prd|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f248,f258])).
% 0.23/0.47 fof(f260,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f259])).
% 0.23/0.47 fof(f264,plain,(
% 0.23/0.47 ~sP21_prd|sP22_prd|~op(e3,e2)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f260])).
% 0.23/0.47 fof(f268,definition,(
% 0.23/0.47 sP23_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 0.23/0.47 fof(f269,plain,(
% 0.23/0.47 sP22_prd<=>(sP23_prd|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f258,f268])).
% 0.23/0.47 fof(f270,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f269])).
% 0.23/0.47 fof(f272,plain,(
% 0.23/0.47 ~sP22_prd|sP23_prd|~op(e2,e1)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f270])).
% 0.23/0.47 fof(f278,definition,(
% 0.23/0.47 sP24_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP24_prd])],[])).
% 0.23/0.47 fof(f279,plain,(
% 0.23/0.47 sP23_prd<=>(sP24_prd|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f268,f278])).
% 0.23/0.47 fof(f280,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f279])).
% 0.23/0.47 fof(f283,plain,(
% 0.23/0.47 ~sP23_prd|sP24_prd|~op(e2,e2)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f280])).
% 0.23/0.47 fof(f288,definition,(
% 0.23/0.47 sP25_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP25_prd])],[])).
% 0.23/0.47 fof(f289,plain,(
% 0.23/0.47 sP24_prd<=>(sP25_prd|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f278,f288])).
% 0.23/0.47 fof(f290,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f289])).
% 0.23/0.47 fof(f293,plain,(
% 0.23/0.47 ~sP24_prd|sP25_prd|~op(e2,e2)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f290])).
% 0.23/0.47 fof(f298,definition,(
% 0.23/0.47 sP26_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP26_prd])],[])).
% 0.23/0.47 fof(f299,plain,(
% 0.23/0.47 sP25_prd<=>(sP26_prd|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f288,f298])).
% 0.23/0.47 fof(f300,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f299])).
% 0.23/0.47 fof(f302,plain,(
% 0.23/0.47 ~sP25_prd|sP26_prd|~op(e1,e2)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f300])).
% 0.23/0.47 fof(f308,definition,(
% 0.23/0.47 sP27_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP27_prd])],[])).
% 0.23/0.47 fof(f309,plain,(
% 0.23/0.47 sP26_prd<=>(sP27_prd|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f298,f308])).
% 0.23/0.47 fof(f310,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f309])).
% 0.23/0.47 fof(f311,plain,(
% 0.23/0.47 ~sP26_prd|sP27_prd|~op(e2,e0)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f310])).
% 0.23/0.47 fof(f318,definition,(
% 0.23/0.47 sP28_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP28_prd])],[])).
% 0.23/0.47 fof(f319,plain,(
% 0.23/0.47 sP27_prd<=>(sP28_prd|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f308,f318])).
% 0.23/0.47 fof(f320,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f319])).
% 0.23/0.47 fof(f321,plain,(
% 0.23/0.47 ~sP27_prd|sP28_prd|~op(e0,e2)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f320])).
% 0.23/0.47 fof(f328,definition,(
% 0.23/0.47 sP29_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP29_prd])],[])).
% 0.23/0.47 fof(f329,plain,(
% 0.23/0.47 sP28_prd<=>(sP29_prd|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f318,f328])).
% 0.23/0.47 fof(f330,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f329])).
% 0.23/0.47 fof(f335,plain,(
% 0.23/0.47 ~sP28_prd|sP29_prd|~op(e2,e4)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f330])).
% 0.23/0.47 fof(f338,definition,(
% 0.23/0.47 sP30_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP30_prd])],[])).
% 0.23/0.47 fof(f339,plain,(
% 0.23/0.47 sP29_prd<=>(sP30_prd|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f328,f338])).
% 0.23/0.47 fof(f340,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f339])).
% 0.23/0.47 fof(f342,plain,(
% 0.23/0.47 ~sP29_prd|sP30_prd|~op(e1,e1)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f340])).
% 0.23/0.47 fof(f348,definition,(
% 0.23/0.47 sP31_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP31_prd])],[])).
% 0.23/0.47 fof(f349,plain,(
% 0.23/0.47 sP30_prd<=>(sP31_prd|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f338,f348])).
% 0.23/0.47 fof(f350,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f349])).
% 0.23/0.47 fof(f352,plain,(
% 0.23/0.47 ~sP30_prd|sP31_prd|~op(e1,e1)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f350])).
% 0.23/0.47 fof(f358,definition,(
% 0.23/0.47 sP32_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP32_prd])],[])).
% 0.23/0.47 fof(f359,plain,(
% 0.23/0.47 sP31_prd<=>(sP32_prd|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f348,f358])).
% 0.23/0.47 fof(f360,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f359])).
% 0.23/0.47 fof(f363,plain,(
% 0.23/0.47 ~sP31_prd|sP32_prd|~op(e2,e1)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f360])).
% 0.23/0.47 fof(f368,definition,(
% 0.23/0.47 sP33_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP33_prd])],[])).
% 0.23/0.47 fof(f369,plain,(
% 0.23/0.47 sP32_prd<=>(sP33_prd|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f358,f368])).
% 0.23/0.47 fof(f370,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f369])).
% 0.23/0.47 fof(f375,plain,(
% 0.23/0.47 ~sP32_prd|sP33_prd|~op(e1,e4)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f370])).
% 0.23/0.47 fof(f378,definition,(
% 0.23/0.47 sP34_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP34_prd])],[])).
% 0.23/0.47 fof(f379,plain,(
% 0.23/0.47 sP33_prd<=>(sP34_prd|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f368,f378])).
% 0.23/0.47 fof(f380,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f379])).
% 0.23/0.47 fof(f381,plain,(
% 0.23/0.47 ~sP33_prd|sP34_prd|~op(e0,e1)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f380])).
% 0.23/0.47 fof(f388,definition,(
% 0.23/0.47 sP35_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP35_prd])],[])).
% 0.23/0.47 fof(f389,plain,(
% 0.23/0.47 sP34_prd<=>(sP35_prd|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f378,f388])).
% 0.23/0.47 fof(f390,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f389])).
% 0.23/0.47 fof(f394,plain,(
% 0.23/0.47 ~sP34_prd|sP35_prd|~op(e1,e3)=e2),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f390])).
% 0.23/0.47 fof(f398,definition,(
% 0.23/0.47 sP36_prd<=>((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP36_prd])],[])).
% 0.23/0.47 fof(f399,plain,(
% 0.23/0.47 sP35_prd<=>(sP36_prd|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f388,f398])).
% 0.23/0.47 fof(f400,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f399])).
% 0.23/0.47 fof(f404,plain,(
% 0.23/0.47 ~sP35_prd|sP36_prd|~op(e3,e1)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f400])).
% 0.23/0.47 fof(f408,definition,(
% 0.23/0.47 sP37_prd<=>(((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP37_prd])],[])).
% 0.23/0.47 fof(f409,plain,(
% 0.23/0.47 sP36_prd<=>(sP37_prd|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f398,f408])).
% 0.23/0.47 fof(f410,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f409])).
% 0.23/0.47 fof(f413,plain,(
% 0.23/0.47 ~sP36_prd|sP37_prd|~op(e1,e2)=e1),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f410])).
% 0.23/0.47 fof(f418,definition,(
% 0.23/0.47 sP38_prd<=>((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP38_prd])],[])).
% 0.23/0.47 fof(f419,plain,(
% 0.23/0.47 sP37_prd<=>(sP38_prd|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f408,f418])).
% 0.23/0.47 fof(f420,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f419])).
% 0.23/0.47 fof(f425,plain,(
% 0.23/0.47 ~sP37_prd|sP38_prd|~op(e4,e1)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f420])).
% 0.23/0.47 fof(f428,definition,(
% 0.23/0.47 sP39_prd<=>(((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP39_prd])],[])).
% 0.23/0.47 fof(f429,plain,(
% 0.23/0.47 sP38_prd<=>(sP39_prd|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f418,f428])).
% 0.23/0.47 fof(f430,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f429])).
% 0.23/0.47 fof(f431,plain,(
% 0.23/0.47 ~sP38_prd|sP39_prd|~op(e1,e0)=e0),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f430])).
% 0.23/0.47 fof(f438,definition,(
% 0.23/0.47 sP40_prd<=>((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP40_prd])],[])).
% 0.23/0.47 fof(f439,plain,(
% 0.23/0.47 sP39_prd<=>(sP40_prd|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f428,f438])).
% 0.23/0.47 fof(f440,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f439])).
% 0.23/0.47 fof(f444,plain,(
% 0.23/0.47 ~sP39_prd|sP40_prd|~op(e3,e0)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f440])).
% 0.23/0.47 fof(f448,definition,(
% 0.23/0.47 sP41_prd<=>(((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP41_prd])],[])).
% 0.23/0.47 fof(f449,plain,(
% 0.23/0.47 sP40_prd<=>(sP41_prd|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f438,f448])).
% 0.23/0.47 fof(f450,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f449])).
% 0.23/0.47 fof(f455,plain,(
% 0.23/0.47 ~sP40_prd|sP41_prd|~op(e0,e4)=e4),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f450])).
% 0.23/0.47 fof(f458,definition,(
% 0.23/0.47 sP42_prd<=>((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.47 introduced(definition,[new_symbols(definition,[sP42_prd])],[])).
% 0.23/0.47 fof(f459,plain,(
% 0.23/0.47 sP41_prd<=>(sP42_prd|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))),
% 0.23/0.47 inference(formula_renaming,[status(thm)],[f448,f458])).
% 0.23/0.47 fof(f460,plain,(
% 0.23/0.47 (~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)))),
% 0.23/0.47 inference(NNF_transformation,[status(thm)],[f459])).
% 0.23/0.47 fof(f461,plain,(
% 0.23/0.47 ~sP41_prd|sP42_prd|~op(e0,e0)=e3),
% 0.23/0.47 inference(cnf_transformation,[status(thm)],[f460])).
% 0.23/0.47 fof(f468,definition,(
% 0.23/0.47 sP43_prd<=>(((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP43_prd])],[])).
% 0.23/0.48 fof(f469,plain,(
% 0.23/0.48 sP42_prd<=>(sP43_prd|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f458,f468])).
% 0.23/0.48 fof(f470,plain,(
% 0.23/0.48 (~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)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f469])).
% 0.23/0.48 fof(f471,plain,(
% 0.23/0.48 ~sP42_prd|sP43_prd|~op(e0,e0)=e3),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f470])).
% 0.23/0.48 fof(f478,definition,(
% 0.23/0.48 sP44_prd<=>((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP44_prd])],[])).
% 0.23/0.48 fof(f479,plain,(
% 0.23/0.48 sP43_prd<=>(sP44_prd|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f468,f478])).
% 0.23/0.48 fof(f480,plain,(
% 0.23/0.48 (~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)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f479])).
% 0.23/0.48 fof(f485,plain,(
% 0.23/0.48 ~sP43_prd|sP44_prd|~op(e4,e0)=e2),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f480])).
% 0.23/0.48 fof(f488,definition,(
% 0.23/0.48 sP45_prd<=>(((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP45_prd])],[])).
% 0.23/0.48 fof(f489,plain,(
% 0.23/0.48 sP44_prd<=>(sP45_prd|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f478,f488])).
% 0.23/0.48 fof(f490,plain,(
% 0.23/0.48 (~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)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f489])).
% 0.23/0.48 fof(f492,plain,(
% 0.23/0.48 ~sP44_prd|sP45_prd|~op(e0,e1)=e2),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f490])).
% 0.23/0.48 fof(f498,definition,(
% 0.23/0.48 sP46_prd<=>((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP46_prd])],[])).
% 0.23/0.48 fof(f499,plain,(
% 0.23/0.48 sP45_prd<=>(sP46_prd|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f488,f498])).
% 0.23/0.48 fof(f500,plain,(
% 0.23/0.48 (~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)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f499])).
% 0.23/0.48 fof(f503,plain,(
% 0.23/0.48 ~sP45_prd|sP46_prd|~op(e2,e0)=e1),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f500])).
% 0.23/0.48 fof(f508,definition,(
% 0.23/0.48 sP47_prd<=>(((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP47_prd])],[])).
% 0.23/0.48 fof(f509,plain,(
% 0.23/0.48 sP46_prd<=>(sP47_prd|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f498,f508])).
% 0.23/0.48 fof(f510,plain,(
% 0.23/0.48 (~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)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f509])).
% 0.23/0.48 fof(f514,plain,(
% 0.23/0.48 ~sP46_prd|sP47_prd|~op(e0,e3)=e1),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f510])).
% 0.23/0.48 fof(f518,definition,(
% 0.23/0.48 sP48_prd<=>((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP48_prd])],[])).
% 0.23/0.48 fof(f519,plain,(
% 0.23/0.48 sP47_prd<=>(sP48_prd|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f508,f518])).
% 0.23/0.48 fof(f520,plain,(
% 0.23/0.48 (~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)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f519])).
% 0.23/0.48 fof(f522,plain,(
% 0.23/0.48 ~sP47_prd|sP48_prd|~op(e1,e0)=e0),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f520])).
% 0.23/0.48 fof(f528,definition,(
% 0.23/0.48 sP49_prd<=>(((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP49_prd])],[])).
% 0.23/0.48 fof(f529,plain,(
% 0.23/0.48 sP48_prd<=>(sP49_prd|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f518,f528])).
% 0.23/0.48 fof(f530,plain,(
% 0.23/0.48 (~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)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f529])).
% 0.23/0.48 fof(f533,plain,(
% 0.23/0.48 ~sP48_prd|sP49_prd|~op(e0,e2)=e0),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f530])).
% 0.23/0.48 fof(f538,definition,(
% 0.23/0.48 sP50_prd<=>((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP50_prd])],[])).
% 0.23/0.48 fof(f539,plain,(
% 0.23/0.48 sP49_prd<=>(sP50_prd|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f528,f538])).
% 0.23/0.48 fof(f540,plain,(
% 0.23/0.48 (~sP49_prd|(sP50_prd|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4)))&(sP49_prd|(~sP50_prd&((((op(e4,e4)=e0|op(e4,e4)=e1)|op(e4,e4)=e2)|op(e4,e4)=e3)|op(e4,e4)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f539])).
% 0.23/0.48 fof(f542,plain,(
% 0.23/0.48 ~sP49_prd|sP50_prd|~op(e4,e4)=e1),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f540])).
% 0.23/0.48 fof(f548,definition,(
% 0.23/0.48 sP51_prd<=>(((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP51_prd])],[])).
% 0.23/0.48 fof(f549,plain,(
% 0.23/0.48 sP50_prd<=>(sP51_prd|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f538,f548])).
% 0.23/0.48 fof(f550,plain,(
% 0.23/0.48 (~sP50_prd|(sP51_prd|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4)))&(sP50_prd|(~sP51_prd&((((op(e4,e3)=e0|op(e4,e3)=e1)|op(e4,e3)=e2)|op(e4,e3)=e3)|op(e4,e3)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f549])).
% 0.23/0.48 fof(f554,plain,(
% 0.23/0.48 ~sP50_prd|sP51_prd|~op(e4,e3)=e3),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f550])).
% 0.23/0.48 fof(f558,definition,(
% 0.23/0.48 sP52_prd<=>((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP52_prd])],[])).
% 0.23/0.48 fof(f559,plain,(
% 0.23/0.48 sP51_prd<=>(sP52_prd|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f548,f558])).
% 0.23/0.48 fof(f560,plain,(
% 0.23/0.48 (~sP51_prd|(sP52_prd|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4)))&(sP51_prd|(~sP52_prd&((((op(e4,e2)=e0|op(e4,e2)=e1)|op(e4,e2)=e2)|op(e4,e2)=e3)|op(e4,e2)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f559])).
% 0.23/0.48 fof(f565,plain,(
% 0.23/0.48 ~sP51_prd|sP52_prd|~op(e4,e2)=e4),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f560])).
% 0.23/0.48 fof(f568,definition,(
% 0.23/0.48 sP53_prd<=>(((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP53_prd])],[])).
% 0.23/0.48 fof(f569,plain,(
% 0.23/0.48 sP52_prd<=>(sP53_prd|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f558,f568])).
% 0.23/0.48 fof(f570,plain,(
% 0.23/0.48 (~sP52_prd|(sP53_prd|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4)))&(sP52_prd|(~sP53_prd&((((op(e4,e1)=e0|op(e4,e1)=e1)|op(e4,e1)=e2)|op(e4,e1)=e3)|op(e4,e1)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f569])).
% 0.23/0.48 fof(f571,plain,(
% 0.23/0.48 ~sP52_prd|sP53_prd|~op(e4,e1)=e0),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f570])).
% 0.23/0.48 fof(f578,definition,(
% 0.23/0.48 sP54_prd<=>((((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP54_prd])],[])).
% 0.23/0.48 fof(f579,plain,(
% 0.23/0.48 sP53_prd<=>(sP54_prd|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f568,f578])).
% 0.23/0.48 fof(f580,plain,(
% 0.23/0.48 (~sP53_prd|(sP54_prd|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4)))&(sP53_prd|(~sP54_prd&((((op(e4,e0)=e0|op(e4,e0)=e1)|op(e4,e0)=e2)|op(e4,e0)=e3)|op(e4,e0)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f579])).
% 0.23/0.48 fof(f583,plain,(
% 0.23/0.48 ~sP53_prd|sP54_prd|~op(e4,e0)=e2),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f580])).
% 0.23/0.48 fof(f588,definition,(
% 0.23/0.48 sP55_prd<=>(((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP55_prd])],[])).
% 0.23/0.48 fof(f589,plain,(
% 0.23/0.48 sP54_prd<=>(sP55_prd|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f578,f588])).
% 0.23/0.48 fof(f590,plain,(
% 0.23/0.48 (~sP54_prd|(sP55_prd|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4)))&(sP54_prd|(~sP55_prd&((((op(e3,e4)=e0|op(e3,e4)=e1)|op(e3,e4)=e2)|op(e3,e4)=e3)|op(e3,e4)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f589])).
% 0.23/0.48 fof(f593,plain,(
% 0.23/0.48 ~sP54_prd|sP55_prd|~op(e3,e4)=e2),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f590])).
% 0.23/0.48 fof(f598,definition,(
% 0.23/0.48 sP56_prd<=>((((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP56_prd])],[])).
% 0.23/0.48 fof(f599,plain,(
% 0.23/0.48 sP55_prd<=>(sP56_prd|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f588,f598])).
% 0.23/0.48 fof(f600,plain,(
% 0.23/0.48 (~sP55_prd|(sP56_prd|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4)))&(sP55_prd|(~sP56_prd&((((op(e3,e3)=e0|op(e3,e3)=e1)|op(e3,e3)=e2)|op(e3,e3)=e3)|op(e3,e3)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f599])).
% 0.23/0.48 fof(f601,plain,(
% 0.23/0.48 ~sP55_prd|sP56_prd|~op(e3,e3)=e0),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f600])).
% 0.23/0.48 fof(f608,definition,(
% 0.23/0.48 sP57_prd<=>(((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP57_prd])],[])).
% 0.23/0.48 fof(f609,plain,(
% 0.23/0.48 sP56_prd<=>(sP57_prd|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f598,f608])).
% 0.23/0.48 fof(f610,plain,(
% 0.23/0.48 (~sP56_prd|(sP57_prd|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4)))&(sP56_prd|(~sP57_prd&((((op(e3,e2)=e0|op(e3,e2)=e1)|op(e3,e2)=e2)|op(e3,e2)=e3)|op(e3,e2)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f609])).
% 0.23/0.48 fof(f614,plain,(
% 0.23/0.48 ~sP56_prd|sP57_prd|~op(e3,e2)=e3),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f610])).
% 0.23/0.48 fof(f618,definition,(
% 0.23/0.48 sP58_prd<=>((((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP58_prd])],[])).
% 0.23/0.48 fof(f619,plain,(
% 0.23/0.48 sP57_prd<=>(sP58_prd|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f608,f618])).
% 0.23/0.48 fof(f620,plain,(
% 0.23/0.48 (~sP57_prd|(sP58_prd|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4)))&(sP57_prd|(~sP58_prd&((((op(e3,e1)=e0|op(e3,e1)=e1)|op(e3,e1)=e2)|op(e3,e1)=e3)|op(e3,e1)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f619])).
% 0.23/0.48 fof(f622,plain,(
% 0.23/0.48 ~sP57_prd|sP58_prd|~op(e3,e1)=e1),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f620])).
% 0.23/0.48 fof(f628,definition,(
% 0.23/0.48 sP59_prd<=>(((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP59_prd])],[])).
% 0.23/0.48 fof(f629,plain,(
% 0.23/0.48 sP58_prd<=>(sP59_prd|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f618,f628])).
% 0.23/0.48 fof(f630,plain,(
% 0.23/0.48 (~sP58_prd|(sP59_prd|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4)))&(sP58_prd|(~sP59_prd&((((op(e3,e0)=e0|op(e3,e0)=e1)|op(e3,e0)=e2)|op(e3,e0)=e3)|op(e3,e0)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f629])).
% 0.23/0.48 fof(f635,plain,(
% 0.23/0.48 ~sP58_prd|sP59_prd|~op(e3,e0)=e4),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f630])).
% 0.23/0.48 fof(f638,definition,(
% 0.23/0.48 sP60_prd<=>((((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP60_prd])],[])).
% 0.23/0.48 fof(f639,plain,(
% 0.23/0.48 sP59_prd<=>(sP60_prd|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f628,f638])).
% 0.23/0.48 fof(f640,plain,(
% 0.23/0.48 (~sP59_prd|(sP60_prd|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4)))&(sP59_prd|(~sP60_prd&((((op(e2,e4)=e0|op(e2,e4)=e1)|op(e2,e4)=e2)|op(e2,e4)=e3)|op(e2,e4)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f639])).
% 0.23/0.48 fof(f641,plain,(
% 0.23/0.48 ~sP59_prd|sP60_prd|~op(e2,e4)=e0),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f640])).
% 0.23/0.48 fof(f648,definition,(
% 0.23/0.48 sP61_prd<=>(((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP61_prd])],[])).
% 0.23/0.48 fof(f649,plain,(
% 0.23/0.48 sP60_prd<=>(sP61_prd|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f638,f648])).
% 0.23/0.48 fof(f650,plain,(
% 0.23/0.48 (~sP60_prd|(sP61_prd|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4)))&(sP60_prd|(~sP61_prd&((((op(e2,e3)=e0|op(e2,e3)=e1)|op(e2,e3)=e2)|op(e2,e3)=e3)|op(e2,e3)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f649])).
% 0.23/0.48 fof(f655,plain,(
% 0.23/0.48 ~sP60_prd|sP61_prd|~op(e2,e3)=e4),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f650])).
% 0.23/0.48 fof(f658,definition,(
% 0.23/0.48 sP62_prd<=>((((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP62_prd])],[])).
% 0.23/0.48 fof(f659,plain,(
% 0.23/0.48 sP61_prd<=>(sP62_prd|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f648,f658])).
% 0.23/0.48 fof(f660,plain,(
% 0.23/0.48 (~sP61_prd|(sP62_prd|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4)))&(sP61_prd|(~sP62_prd&((((op(e2,e2)=e0|op(e2,e2)=e1)|op(e2,e2)=e2)|op(e2,e2)=e3)|op(e2,e2)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f659])).
% 0.23/0.48 fof(f663,plain,(
% 0.23/0.48 ~sP61_prd|sP62_prd|~op(e2,e2)=e2),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f660])).
% 0.23/0.48 fof(f668,definition,(
% 0.23/0.48 sP63_prd<=>(((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP63_prd])],[])).
% 0.23/0.48 fof(f669,plain,(
% 0.23/0.48 sP62_prd<=>(sP63_prd|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f658,f668])).
% 0.23/0.48 fof(f670,plain,(
% 0.23/0.48 (~sP62_prd|(sP63_prd|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4)))&(sP62_prd|(~sP63_prd&((((op(e2,e1)=e0|op(e2,e1)=e1)|op(e2,e1)=e2)|op(e2,e1)=e3)|op(e2,e1)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f669])).
% 0.23/0.48 fof(f674,plain,(
% 0.23/0.48 ~sP62_prd|sP63_prd|~op(e2,e1)=e3),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f670])).
% 0.23/0.48 fof(f678,definition,(
% 0.23/0.48 sP64_prd<=>((((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP64_prd])],[])).
% 0.23/0.48 fof(f679,plain,(
% 0.23/0.48 sP63_prd<=>(sP64_prd|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f668,f678])).
% 0.23/0.48 fof(f680,plain,(
% 0.23/0.48 (~sP63_prd|(sP64_prd|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4)))&(sP63_prd|(~sP64_prd&((((op(e2,e0)=e0|op(e2,e0)=e1)|op(e2,e0)=e2)|op(e2,e0)=e3)|op(e2,e0)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f679])).
% 0.23/0.48 fof(f682,plain,(
% 0.23/0.48 ~sP63_prd|sP64_prd|~op(e2,e0)=e1),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f680])).
% 0.23/0.48 fof(f688,definition,(
% 0.23/0.48 sP65_prd<=>(((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP65_prd])],[])).
% 0.23/0.48 fof(f689,plain,(
% 0.23/0.48 sP64_prd<=>(sP65_prd|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f678,f688])).
% 0.23/0.48 fof(f690,plain,(
% 0.23/0.48 (~sP64_prd|(sP65_prd|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4)))&(sP64_prd|(~sP65_prd&((((op(e1,e4)=e0|op(e1,e4)=e1)|op(e1,e4)=e2)|op(e1,e4)=e3)|op(e1,e4)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f689])).
% 0.23/0.48 fof(f694,plain,(
% 0.23/0.48 ~sP64_prd|sP65_prd|~op(e1,e4)=e3),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f690])).
% 0.23/0.48 fof(f698,definition,(
% 0.23/0.48 sP66_prd<=>((((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP66_prd])],[])).
% 0.23/0.48 fof(f699,plain,(
% 0.23/0.48 sP65_prd<=>(sP66_prd|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f688,f698])).
% 0.23/0.48 fof(f700,plain,(
% 0.23/0.48 (~sP65_prd|(sP66_prd|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4)))&(sP65_prd|(~sP66_prd&((((op(e1,e3)=e0|op(e1,e3)=e1)|op(e1,e3)=e2)|op(e1,e3)=e3)|op(e1,e3)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f699])).
% 0.23/0.48 fof(f703,plain,(
% 0.23/0.48 ~sP65_prd|sP66_prd|~op(e1,e3)=e2),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f700])).
% 0.23/0.48 fof(f708,definition,(
% 0.23/0.48 sP67_prd<=>(((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP67_prd])],[])).
% 0.23/0.48 fof(f709,plain,(
% 0.23/0.48 sP66_prd<=>(sP67_prd|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f698,f708])).
% 0.23/0.48 fof(f710,plain,(
% 0.23/0.48 (~sP66_prd|(sP67_prd|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4)))&(sP66_prd|(~sP67_prd&((((op(e1,e2)=e0|op(e1,e2)=e1)|op(e1,e2)=e2)|op(e1,e2)=e3)|op(e1,e2)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f709])).
% 0.23/0.48 fof(f712,plain,(
% 0.23/0.48 ~sP66_prd|sP67_prd|~op(e1,e2)=e1),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f710])).
% 0.23/0.48 fof(f718,definition,(
% 0.23/0.48 sP68_prd<=>((((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP68_prd])],[])).
% 0.23/0.48 fof(f719,plain,(
% 0.23/0.48 sP67_prd<=>(sP68_prd|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f708,f718])).
% 0.23/0.48 fof(f720,plain,(
% 0.23/0.48 (~sP67_prd|(sP68_prd|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4)))&(sP67_prd|(~sP68_prd&((((op(e1,e1)=e0|op(e1,e1)=e1)|op(e1,e1)=e2)|op(e1,e1)=e3)|op(e1,e1)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f719])).
% 0.23/0.48 fof(f725,plain,(
% 0.23/0.48 ~sP67_prd|sP68_prd|~op(e1,e1)=e4),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f720])).
% 0.23/0.48 fof(f728,definition,(
% 0.23/0.48 sP69_prd<=>(((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP69_prd])],[])).
% 0.23/0.48 fof(f729,plain,(
% 0.23/0.48 sP68_prd<=>(sP69_prd|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f718,f728])).
% 0.23/0.48 fof(f730,plain,(
% 0.23/0.48 (~sP68_prd|(sP69_prd|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4)))&(sP68_prd|(~sP69_prd&((((op(e1,e0)=e0|op(e1,e0)=e1)|op(e1,e0)=e2)|op(e1,e0)=e3)|op(e1,e0)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f729])).
% 0.23/0.48 fof(f731,plain,(
% 0.23/0.48 ~sP68_prd|sP69_prd|~op(e1,e0)=e0),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f730])).
% 0.23/0.48 fof(f738,definition,(
% 0.23/0.48 sP70_prd<=>((((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP70_prd])],[])).
% 0.23/0.48 fof(f739,plain,(
% 0.23/0.48 sP69_prd<=>(sP70_prd|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f728,f738])).
% 0.23/0.48 fof(f740,plain,(
% 0.23/0.48 (~sP69_prd|(sP70_prd|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4)))&(sP69_prd|(~sP70_prd&((((op(e0,e4)=e0|op(e0,e4)=e1)|op(e0,e4)=e2)|op(e0,e4)=e3)|op(e0,e4)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f739])).
% 0.23/0.48 fof(f745,plain,(
% 0.23/0.48 ~sP69_prd|sP70_prd|~op(e0,e4)=e4),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f740])).
% 0.23/0.48 fof(f748,definition,(
% 0.23/0.48 sP71_prd<=>(((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP71_prd])],[])).
% 0.23/0.48 fof(f749,plain,(
% 0.23/0.48 sP70_prd<=>(sP71_prd|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f738,f748])).
% 0.23/0.48 fof(f750,plain,(
% 0.23/0.48 (~sP70_prd|(sP71_prd|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4)))&(sP70_prd|(~sP71_prd&((((op(e0,e3)=e0|op(e0,e3)=e1)|op(e0,e3)=e2)|op(e0,e3)=e3)|op(e0,e3)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f749])).
% 0.23/0.48 fof(f752,plain,(
% 0.23/0.48 ~sP70_prd|sP71_prd|~op(e0,e3)=e1),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f750])).
% 0.23/0.48 fof(f758,definition,(
% 0.23/0.48 sP72_prd<=>((((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|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))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP72_prd])],[])).
% 0.23/0.48 fof(f759,plain,(
% 0.23/0.48 sP71_prd<=>(sP72_prd|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f748,f758])).
% 0.23/0.48 fof(f760,plain,(
% 0.23/0.48 (~sP71_prd|(sP72_prd|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4)))&(sP71_prd|(~sP72_prd&((((op(e0,e2)=e0|op(e0,e2)=e1)|op(e0,e2)=e2)|op(e0,e2)=e3)|op(e0,e2)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f759])).
% 0.23/0.48 fof(f761,plain,(
% 0.23/0.48 ~sP71_prd|sP72_prd|~op(e0,e2)=e0),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f760])).
% 0.23/0.48 fof(f768,definition,(
% 0.23/0.48 sP73_prd<=>(((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|op(e4,e4)=e4))|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP73_prd])],[])).
% 0.23/0.48 fof(f769,plain,(
% 0.23/0.48 sP72_prd<=>(sP73_prd|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f758,f768])).
% 0.23/0.48 fof(f770,plain,(
% 0.23/0.48 (~sP72_prd|(sP73_prd|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4)))&(sP72_prd|(~sP73_prd&((((op(e0,e1)=e0|op(e0,e1)=e1)|op(e0,e1)=e2)|op(e0,e1)=e3)|op(e0,e1)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f769])).
% 0.23/0.48 fof(f773,plain,(
% 0.23/0.48 ~sP72_prd|sP73_prd|~op(e0,e1)=e2),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f770])).
% 0.23/0.48 fof(f778,definition,(
% 0.23/0.48 sP74_prd<=>((((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|op(e4,e4)=e4))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP74_prd])],[])).
% 0.23/0.48 fof(f779,plain,(
% 0.23/0.48 sP73_prd<=>(sP74_prd|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f768,f778])).
% 0.23/0.48 fof(f780,plain,(
% 0.23/0.48 (~sP73_prd|(sP74_prd|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4)))&(sP73_prd|(~sP74_prd&((((op(e0,e0)=e0|op(e0,e0)=e1)|op(e0,e0)=e2)|op(e0,e0)=e3)|op(e0,e0)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f779])).
% 0.23/0.48 fof(f784,plain,(
% 0.23/0.48 ~sP73_prd|sP74_prd|~op(e0,e0)=e3),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f780])).
% 0.23/0.48 fof(f788,definition,(
% 0.23/0.48 sP75_prd<=>(((((((op(e0,e0)=e0|op(e1,e0)=e1)|op(e2,e0)=e2)|op(e3,e0)=e3)|op(e4,e0)=e4)&((((op(e0,e1)=e0|op(e1,e1)=e1)|op(e2,e1)=e2)|op(e3,e1)=e3)|op(e4,e1)=e4))&((((op(e0,e2)=e0|op(e1,e2)=e1)|op(e2,e2)=e2)|op(e3,e2)=e3)|op(e4,e2)=e4))&((((op(e0,e3)=e0|op(e1,e3)=e1)|op(e2,e3)=e2)|op(e3,e3)=e3)|op(e4,e3)=e4))),
% 0.23/0.48 introduced(definition,[new_symbols(definition,[sP75_prd])],[])).
% 0.23/0.48 fof(f789,plain,(
% 0.23/0.48 sP74_prd<=>(sP75_prd&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|op(e4,e4)=e4))),
% 0.23/0.48 inference(formula_renaming,[status(thm)],[f778,f788])).
% 0.23/0.48 fof(f790,plain,(
% 0.23/0.48 (~sP74_prd|(sP75_prd&((((op(e0,e4)=e0|op(e1,e4)=e1)|op(e2,e4)=e2)|op(e3,e4)=e3)|op(e4,e4)=e4)))&(sP74_prd|(~sP75_prd|((((~op(e0,e4)=e0&~op(e1,e4)=e1)&~op(e2,e4)=e2)&~op(e3,e4)=e3)&~op(e4,e4)=e4)))),
% 0.23/0.48 inference(NNF_transformation,[status(thm)],[f789])).
% 0.23/0.48 fof(f792,plain,(
% 0.23/0.48 ~sP74_prd|op(e0,e4)=e0|op(e1,e4)=e1|op(e2,e4)=e2|op(e3,e4)=e3|op(e4,e4)=e4),
% 0.23/0.48 inference(cnf_transformation,[status(thm)],[f790])).
% 0.23/0.48 fof(f835,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~op(op(e0,e0),op(e0,e0))=e0|~op(op(e1,e0),op(e0,e1))=e0|~op(op(e2,e0),op(e0,e2))=e0|~op(op(e3,e0),op(e0,e3))=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f19,f43])).
% 0.23/0.48 fof(f836,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~op(e3,op(e0,e0))=e0|~op(op(e1,e0),op(e0,e1))=e0|~op(op(e2,e0),op(e0,e2))=e0|~op(op(e3,e0),op(e0,e3))=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f15,f835])).
% 0.23/0.48 fof(f837,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~op(e3,e3)=e0|~op(op(e1,e0),op(e0,e1))=e0|~op(op(e2,e0),op(e0,e2))=e0|~op(op(e3,e0),op(e0,e3))=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f15,f836])).
% 0.23/0.48 fof(f838,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~op(op(e1,e0),op(e0,e1))=e0|~op(op(e2,e0),op(e0,e2))=e0|~op(op(e3,e0),op(e0,e3))=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f33,f837])).
% 0.23/0.48 fof(f839,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~op(e0,op(e0,e1))=e0|~op(op(e2,e0),op(e0,e2))=e0|~op(op(e3,e0),op(e0,e3))=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f20,f838])).
% 0.23/0.48 fof(f840,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~op(e0,e2)=e0|~op(op(e2,e0),op(e0,e2))=e0|~op(op(e3,e0),op(e0,e3))=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f16,f839])).
% 0.23/0.48 fof(f841,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~op(op(e2,e0),op(e0,e2))=e0|~op(op(e3,e0),op(e0,e3))=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f17,f840])).
% 0.23/0.48 fof(f842,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~op(e1,op(e0,e2))=e0|~op(op(e3,e0),op(e0,e3))=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f25,f841])).
% 0.23/0.48 fof(f843,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~op(e1,e0)=e0|~op(op(e3,e0),op(e0,e3))=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f17,f842])).
% 0.23/0.48 fof(f844,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~op(op(e3,e0),op(e0,e3))=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f20,f843])).
% 0.23/0.48 fof(f845,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~op(e4,op(e0,e3))=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f30,f844])).
% 0.23/0.48 fof(f846,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~op(e4,e1)=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f18,f845])).
% 0.23/0.48 fof(f847,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~op(op(e4,e0),op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f36,f846])).
% 0.23/0.48 fof(f848,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~op(e2,op(e0,e4))=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f35,f847])).
% 0.23/0.48 fof(f849,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~op(e2,e4)=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f19,f848])).
% 0.23/0.48 fof(f850,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~op(op(e0,e1),op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f29,f849])).
% 0.23/0.48 fof(f851,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~op(e2,op(e1,e0))=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f16,f850])).
% 0.23/0.48 fof(f852,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~op(e2,e0)=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f20,f851])).
% 0.23/0.48 fof(f853,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~op(op(e1,e1),op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f25,f852])).
% 0.23/0.48 fof(f854,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~op(e4,op(e1,e1))=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f21,f853])).
% 0.23/0.48 fof(f855,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~op(e4,e4)=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f21,f854])).
% 0.23/0.48 fof(f856,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~op(op(e2,e1),op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f39,f855])).
% 0.23/0.48 fof(f857,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~op(e3,op(e1,e2))=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f26,f856])).
% 0.23/0.48 fof(f858,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~op(e3,e1)=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f22,f857])).
% 0.23/0.48 fof(f859,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~op(op(e3,e1),op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f31,f858])).
% 0.23/0.48 fof(f860,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~op(e1,op(e1,e3))=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f31,f859])).
% 0.23/0.48 fof(f861,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~op(e1,e2)=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f23,f860])).
% 0.23/0.48 fof(f862,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~op(op(e4,e1),op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f22,f861])).
% 0.23/0.48 fof(f863,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~op(e0,op(e1,e4))=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f36,f862])).
% 0.23/0.48 fof(f864,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~op(e0,e3)=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f24,f863])).
% 0.23/0.48 fof(f865,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~op(op(e0,e2),op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f18,f864])).
% 0.23/0.48 fof(f866,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~op(e0,op(e2,e0))=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f17,f865])).
% 0.23/0.48 fof(f867,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~op(e0,e1)=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f25,f866])).
% 0.23/0.48 fof(f868,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~op(op(e1,e2),op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f16,f867])).
% 0.23/0.48 fof(f869,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~op(e1,op(e2,e1))=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f22,f868])).
% 0.23/0.48 fof(f870,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~op(e1,e3)=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f26,f869])).
% 0.23/0.48 fof(f871,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~op(op(e2,e2),op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f23,f870])).
% 0.23/0.48 fof(f872,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~op(e2,op(e2,e2))=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f27,f871])).
% 0.23/0.48 fof(f873,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~op(e2,e2)=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f27,f872])).
% 0.23/0.48 fof(f874,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~op(op(e3,e2),op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f27,f873])).
% 0.23/0.48 fof(f875,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~op(e3,op(e2,e3))=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f32,f874])).
% 0.23/0.48 fof(f876,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~op(e3,e4)=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f28,f875])).
% 0.23/0.48 fof(f877,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~op(op(e4,e2),op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f34,f876])).
% 0.23/0.48 fof(f878,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~op(e4,op(e2,e4))=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f37,f877])).
% 0.23/0.48 fof(f879,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~op(e4,e0)=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f29,f878])).
% 0.23/0.48 fof(f880,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~op(op(e0,e3),op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f35,f879])).
% 0.23/0.48 fof(f881,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~op(e1,op(e3,e0))=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f18,f880])).
% 0.23/0.48 fof(f882,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~op(e1,e4)=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f30,f881])).
% 0.23/0.48 fof(f883,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~op(op(e1,e3),op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f24,f882])).
% 0.23/0.48 fof(f884,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~op(e2,op(e3,e1))=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f23,f883])).
% 0.23/0.48 fof(f885,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~op(e2,e1)=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f31,f884])).
% 0.23/0.48 fof(f886,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~op(op(e2,e3),op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f26,f885])).
% 0.23/0.48 fof(f887,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~op(e4,op(e3,e2))=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f28,f886])).
% 0.23/0.48 fof(f888,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~op(e4,e3)=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f32,f887])).
% 0.23/0.48 fof(f889,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~op(op(e3,e3),op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f38,f888])).
% 0.23/0.48 fof(f890,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~op(e0,op(e3,e3))=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f33,f889])).
% 0.23/0.48 fof(f891,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~op(e0,e0)=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f33,f890])).
% 0.23/0.48 fof(f892,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~op(op(e4,e3),op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f15,f891])).
% 0.23/0.48 fof(f893,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~op(e3,op(e3,e4))=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f38,f892])).
% 0.23/0.48 fof(f894,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~op(e3,e2)=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f34,f893])).
% 0.23/0.48 fof(f895,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~op(op(e0,e4),op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f32,f894])).
% 0.23/0.48 fof(f896,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~op(e4,op(e4,e0))=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f19,f895])).
% 0.23/0.48 fof(f897,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~op(e4,e2)=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f35,f896])).
% 0.23/0.48 fof(f898,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~op(op(e1,e4),op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f37,f897])).
% 0.23/0.48 fof(f899,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~op(e3,op(e4,e1))=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f24,f898])).
% 0.23/0.48 fof(f900,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~op(e3,e0)=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f36,f899])).
% 0.23/0.48 fof(f901,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~e4=e4|~op(op(e2,e4),op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f30,f900])).
% 0.23/0.48 fof(f902,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~e4=e4|~op(e0,op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f29,f901])).
% 0.23/0.48 fof(f903,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~e4=e4|~op(e0,e4)=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f37,f902])).
% 0.23/0.48 fof(f904,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~e4=e4|~e4=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f19,f903])).
% 0.23/0.48 fof(f905,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~e4=e4|~e4=e4|~op(e2,op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f34,f904])).
% 0.23/0.48 fof(f906,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~e4=e4|~e4=e4|~op(e2,e3)=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f38,f905])).
% 0.23/0.48 fof(f907,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~e4=e4|~e4=e4|~e4=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f28,f906])).
% 0.23/0.48 fof(f908,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~e4=e4|~e4=e4|~e4=e4|~op(e1,op(e4,e4))=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f39,f907])).
% 0.23/0.48 fof(f909,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~e4=e4|~e4=e4|~e4=e4|~op(e1,e1)=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f39,f908])).
% 0.23/0.48 fof(f910,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e2=e2|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e3=e3|~e4=e4|~e4=e4|~e4=e4|~e4=e4|~e4=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f21,f909])).
% 0.23/0.48 fof(f911,plain,(
% 0.23/0.48 sP0_prd|~e4=e4|~e0=e0|~e1=e1|~e2=e2|~e3=e3),
% 0.23/0.48 inference(duplicate_literals_removal,[status(thm)],[f910])).
% 0.23/0.48 fof(f912,plain,(
% 0.23/0.48 sP0_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f911])).
% 0.23/0.48 fof(f1227,plain,(
% 0.23/0.48 ~sP0_prd|sP1_prd|~e4=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f37,f53])).
% 0.23/0.48 fof(f1228,plain,(
% 0.23/0.48 ~sP0_prd|sP1_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1227])).
% 0.23/0.48 fof(f1229,plain,(
% 0.23/0.48 sP1_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1228,f912])).
% 0.23/0.48 fof(f1235,plain,(
% 0.23/0.48 ~sP1_prd|sP2_prd|~e3=e3),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f24,f62])).
% 0.23/0.48 fof(f1236,plain,(
% 0.23/0.48 ~sP1_prd|sP2_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1235])).
% 0.23/0.48 fof(f1237,plain,(
% 0.23/0.48 sP2_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1236,f1229])).
% 0.23/0.48 fof(f1245,plain,(
% 0.23/0.48 ~sP2_prd|sP3_prd|~e3=e3),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f38,f74])).
% 0.23/0.48 fof(f1246,plain,(
% 0.23/0.48 ~sP2_prd|sP3_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1245])).
% 0.23/0.48 fof(f1247,plain,(
% 0.23/0.48 sP3_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1246,f1237])).
% 0.23/0.48 fof(f1255,plain,(
% 0.23/0.48 ~sP3_prd|sP4_prd|~e2=e2),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f34,f84])).
% 0.23/0.48 fof(f1256,plain,(
% 0.23/0.48 ~sP3_prd|sP4_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1255])).
% 0.23/0.48 fof(f1257,plain,(
% 0.23/0.48 sP4_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1256,f1247])).
% 0.23/0.48 fof(f1262,plain,(
% 0.23/0.48 ~sP4_prd|sP5_prd|~e2=e2),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f35,f91])).
% 0.23/0.48 fof(f1263,plain,(
% 0.23/0.48 ~sP4_prd|sP5_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1262])).
% 0.23/0.48 fof(f1264,plain,(
% 0.23/0.48 sP5_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1263,f1257])).
% 0.23/0.48 fof(f1273,plain,(
% 0.23/0.48 ~sP5_prd|sP6_prd|~e1=e1),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f39,f105])).
% 0.23/0.48 fof(f1274,plain,(
% 0.23/0.48 ~sP5_prd|sP6_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1273])).
% 0.23/0.48 fof(f1275,plain,(
% 0.23/0.48 sP6_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1274,f1264])).
% 0.23/0.48 fof(f1284,plain,(
% 0.23/0.48 ~sP6_prd|sP7_prd|~e1=e1),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f39,f115])).
% 0.23/0.48 fof(f1285,plain,(
% 0.23/0.48 ~sP6_prd|sP7_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1284])).
% 0.23/0.48 fof(f1286,plain,(
% 0.23/0.48 sP7_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1285,f1275])).
% 0.23/0.48 fof(f1293,plain,(
% 0.23/0.48 ~sP7_prd|sP8_prd|~e0=e0),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f29,f123])).
% 0.23/0.48 fof(f1294,plain,(
% 0.23/0.48 ~sP7_prd|sP8_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1293])).
% 0.23/0.48 fof(f1295,plain,(
% 0.23/0.48 sP8_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1294,f1286])).
% 0.23/0.48 fof(f1301,plain,(
% 0.23/0.48 ~sP8_prd|sP9_prd|~e0=e0),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f36,f132])).
% 0.23/0.48 fof(f1302,plain,(
% 0.23/0.48 ~sP8_prd|sP9_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1301])).
% 0.23/0.48 fof(f1303,plain,(
% 0.23/0.48 sP9_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1302,f1295])).
% 0.23/0.48 fof(f1310,plain,(
% 0.23/0.48 ~sP9_prd|sP10_prd|~e4=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f28,f143])).
% 0.23/0.48 fof(f1311,plain,(
% 0.23/0.48 ~sP9_prd|sP10_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1310])).
% 0.23/0.48 fof(f1312,plain,(
% 0.23/0.48 sP10_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1311,f1303])).
% 0.23/0.48 fof(f1317,plain,(
% 0.23/0.48 ~sP10_prd|sP11_prd|~e4=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f30,f151])).
% 0.23/0.48 fof(f1318,plain,(
% 0.23/0.48 ~sP10_prd|sP11_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1317])).
% 0.23/0.48 fof(f1319,plain,(
% 0.23/0.48 sP11_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1318,f1312])).
% 0.23/0.48 fof(f1328,plain,(
% 0.23/0.48 ~sP11_prd|sP12_prd|~e3=e3),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f38,f165])).
% 0.23/0.48 fof(f1329,plain,(
% 0.23/0.48 ~sP11_prd|sP12_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1328])).
% 0.23/0.48 fof(f1330,plain,(
% 0.23/0.48 sP12_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1329,f1319])).
% 0.23/0.48 fof(f1337,plain,(
% 0.23/0.48 ~sP12_prd|sP13_prd|~e3=e3),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f32,f173])).
% 0.23/0.48 fof(f1338,plain,(
% 0.23/0.48 ~sP12_prd|sP13_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1337])).
% 0.23/0.48 fof(f1339,plain,(
% 0.23/0.48 sP13_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1338,f1330])).
% 0.23/0.48 fof(f1345,plain,(
% 0.23/0.48 ~sP13_prd|sP14_prd|~e2=e2),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f23,f182])).
% 0.23/0.48 fof(f1346,plain,(
% 0.23/0.48 ~sP13_prd|sP14_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1345])).
% 0.23/0.48 fof(f1347,plain,(
% 0.23/0.48 sP14_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1346,f1339])).
% 0.23/0.48 fof(f1356,plain,(
% 0.23/0.48 ~sP14_prd|sP15_prd|~e2=e2),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f34,f195])).
% 0.23/0.48 fof(f1357,plain,(
% 0.23/0.48 ~sP14_prd|sP15_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1356])).
% 0.23/0.48 fof(f1358,plain,(
% 0.23/0.48 sP15_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1357,f1347])).
% 0.23/0.48 fof(f1363,plain,(
% 0.23/0.48 ~sP15_prd|sP16_prd|~e1=e1),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f18,f201])).
% 0.23/0.48 fof(f1364,plain,(
% 0.23/0.48 ~sP15_prd|sP16_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1363])).
% 0.23/0.48 fof(f1365,plain,(
% 0.23/0.48 sP16_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1364,f1358])).
% 0.23/0.48 fof(f1371,plain,(
% 0.23/0.48 ~sP16_prd|sP17_prd|~e1=e1),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f31,f212])).
% 0.23/0.48 fof(f1372,plain,(
% 0.23/0.48 ~sP16_prd|sP17_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1371])).
% 0.23/0.48 fof(f1373,plain,(
% 0.23/0.48 sP17_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1372,f1365])).
% 0.23/0.48 fof(f1381,plain,(
% 0.23/0.48 ~sP17_prd|sP18_prd|~e0=e0),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f33,f224])).
% 0.23/0.48 fof(f1382,plain,(
% 0.23/0.48 ~sP17_prd|sP18_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1381])).
% 0.23/0.48 fof(f1383,plain,(
% 0.23/0.48 sP18_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1382,f1373])).
% 0.23/0.48 fof(f1391,plain,(
% 0.23/0.48 ~sP18_prd|sP19_prd|~e0=e0),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f33,f234])).
% 0.23/0.48 fof(f1392,plain,(
% 0.23/0.48 ~sP18_prd|sP19_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1391])).
% 0.23/0.48 fof(f1393,plain,(
% 0.23/0.48 sP19_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1392,f1383])).
% 0.23/0.48 fof(f1402,plain,(
% 0.23/0.48 ~sP19_prd|sP20_prd|~e4=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f37,f245])).
% 0.23/0.48 fof(f1403,plain,(
% 0.23/0.48 ~sP19_prd|sP20_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1402])).
% 0.23/0.48 fof(f1404,plain,(
% 0.23/0.48 sP20_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1403,f1393])).
% 0.23/0.48 fof(f1412,plain,(
% 0.23/0.48 ~sP20_prd|sP21_prd|~e4=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f28,f254])).
% 0.23/0.48 fof(f1413,plain,(
% 0.23/0.48 ~sP20_prd|sP21_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1412])).
% 0.23/0.48 fof(f1414,plain,(
% 0.23/0.48 sP21_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1413,f1404])).
% 0.23/0.48 fof(f1422,plain,(
% 0.23/0.48 ~sP21_prd|sP22_prd|~e3=e3),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f32,f264])).
% 0.23/0.48 fof(f1423,plain,(
% 0.23/0.48 ~sP21_prd|sP22_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1422])).
% 0.23/0.48 fof(f1424,plain,(
% 0.23/0.48 sP22_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1423,f1414])).
% 0.23/0.48 fof(f1430,plain,(
% 0.23/0.48 ~sP22_prd|sP23_prd|~e3=e3),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f26,f272])).
% 0.23/0.48 fof(f1431,plain,(
% 0.23/0.48 ~sP22_prd|sP23_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1430])).
% 0.23/0.48 fof(f1432,plain,(
% 0.23/0.48 sP23_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1431,f1424])).
% 0.23/0.48 fof(f1439,plain,(
% 0.23/0.48 ~sP23_prd|sP24_prd|~e2=e2),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f27,f283])).
% 0.23/0.48 fof(f1440,plain,(
% 0.23/0.48 ~sP23_prd|sP24_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1439])).
% 0.23/0.48 fof(f1441,plain,(
% 0.23/0.48 sP24_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1440,f1432])).
% 0.23/0.48 fof(f1448,plain,(
% 0.23/0.48 ~sP24_prd|sP25_prd|~e2=e2),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f27,f293])).
% 0.23/0.48 fof(f1449,plain,(
% 0.23/0.48 ~sP24_prd|sP25_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1448])).
% 0.23/0.48 fof(f1450,plain,(
% 0.23/0.48 sP25_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1449,f1441])).
% 0.23/0.48 fof(f1456,plain,(
% 0.23/0.48 ~sP25_prd|sP26_prd|~e1=e1),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f22,f302])).
% 0.23/0.48 fof(f1457,plain,(
% 0.23/0.48 ~sP25_prd|sP26_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1456])).
% 0.23/0.48 fof(f1458,plain,(
% 0.23/0.48 sP26_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1457,f1450])).
% 0.23/0.48 fof(f1463,plain,(
% 0.23/0.48 ~sP26_prd|sP27_prd|~e1=e1),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f25,f311])).
% 0.23/0.48 fof(f1464,plain,(
% 0.23/0.48 ~sP26_prd|sP27_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1463])).
% 0.23/0.48 fof(f1465,plain,(
% 0.23/0.48 sP27_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1464,f1458])).
% 0.23/0.48 fof(f1470,plain,(
% 0.23/0.48 ~sP27_prd|sP28_prd|~e0=e0),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f17,f321])).
% 0.23/0.48 fof(f1471,plain,(
% 0.23/0.48 ~sP27_prd|sP28_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1470])).
% 0.23/0.48 fof(f1472,plain,(
% 0.23/0.48 sP28_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1471,f1465])).
% 0.23/0.48 fof(f1481,plain,(
% 0.23/0.48 ~sP28_prd|sP29_prd|~e0=e0),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f29,f335])).
% 0.23/0.48 fof(f1482,plain,(
% 0.23/0.48 ~sP28_prd|sP29_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1481])).
% 0.23/0.48 fof(f1483,plain,(
% 0.23/0.48 sP29_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1482,f1472])).
% 0.23/0.48 fof(f1489,plain,(
% 0.23/0.48 ~sP29_prd|sP30_prd|~e4=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f21,f342])).
% 0.23/0.48 fof(f1490,plain,(
% 0.23/0.48 ~sP29_prd|sP30_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1489])).
% 0.23/0.48 fof(f1491,plain,(
% 0.23/0.48 sP30_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1490,f1483])).
% 0.23/0.48 fof(f1497,plain,(
% 0.23/0.48 ~sP30_prd|sP31_prd|~e4=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f21,f352])).
% 0.23/0.48 fof(f1498,plain,(
% 0.23/0.48 ~sP30_prd|sP31_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1497])).
% 0.23/0.48 fof(f1499,plain,(
% 0.23/0.48 sP31_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1498,f1491])).
% 0.23/0.48 fof(f1506,plain,(
% 0.23/0.48 ~sP31_prd|sP32_prd|~e3=e3),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f26,f363])).
% 0.23/0.48 fof(f1507,plain,(
% 0.23/0.48 ~sP31_prd|sP32_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1506])).
% 0.23/0.48 fof(f1508,plain,(
% 0.23/0.48 sP32_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1507,f1499])).
% 0.23/0.48 fof(f1517,plain,(
% 0.23/0.48 ~sP32_prd|sP33_prd|~e3=e3),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f24,f375])).
% 0.23/0.48 fof(f1518,plain,(
% 0.23/0.48 ~sP32_prd|sP33_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1517])).
% 0.23/0.48 fof(f1519,plain,(
% 0.23/0.48 sP33_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1518,f1508])).
% 0.23/0.48 fof(f1524,plain,(
% 0.23/0.48 ~sP33_prd|sP34_prd|~e2=e2),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f16,f381])).
% 0.23/0.48 fof(f1525,plain,(
% 0.23/0.48 ~sP33_prd|sP34_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1524])).
% 0.23/0.48 fof(f1526,plain,(
% 0.23/0.48 sP34_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1525,f1519])).
% 0.23/0.48 fof(f1534,plain,(
% 0.23/0.48 ~sP34_prd|sP35_prd|~e2=e2),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f23,f394])).
% 0.23/0.48 fof(f1535,plain,(
% 0.23/0.48 ~sP34_prd|sP35_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1534])).
% 0.23/0.48 fof(f1536,plain,(
% 0.23/0.48 sP35_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1535,f1526])).
% 0.23/0.48 fof(f1544,plain,(
% 0.23/0.48 ~sP35_prd|sP36_prd|~e1=e1),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f31,f404])).
% 0.23/0.48 fof(f1545,plain,(
% 0.23/0.48 ~sP35_prd|sP36_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1544])).
% 0.23/0.48 fof(f1546,plain,(
% 0.23/0.48 sP36_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1545,f1536])).
% 0.23/0.48 fof(f1553,plain,(
% 0.23/0.48 ~sP36_prd|sP37_prd|~e1=e1),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f22,f413])).
% 0.23/0.48 fof(f1554,plain,(
% 0.23/0.48 ~sP36_prd|sP37_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1553])).
% 0.23/0.48 fof(f1555,plain,(
% 0.23/0.48 sP37_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1554,f1546])).
% 0.23/0.48 fof(f1564,plain,(
% 0.23/0.48 ~sP37_prd|sP38_prd|~e0=e0),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f36,f425])).
% 0.23/0.48 fof(f1565,plain,(
% 0.23/0.48 ~sP37_prd|sP38_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1564])).
% 0.23/0.48 fof(f1566,plain,(
% 0.23/0.48 sP38_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1565,f1555])).
% 0.23/0.48 fof(f1571,plain,(
% 0.23/0.48 ~sP38_prd|sP39_prd|~e0=e0),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f20,f431])).
% 0.23/0.48 fof(f1572,plain,(
% 0.23/0.48 ~sP38_prd|sP39_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1571])).
% 0.23/0.48 fof(f1573,plain,(
% 0.23/0.48 sP39_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1572,f1566])).
% 0.23/0.48 fof(f1581,plain,(
% 0.23/0.48 ~sP39_prd|sP40_prd|~e4=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f30,f444])).
% 0.23/0.48 fof(f1582,plain,(
% 0.23/0.48 ~sP39_prd|sP40_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1581])).
% 0.23/0.48 fof(f1583,plain,(
% 0.23/0.48 sP40_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1582,f1573])).
% 0.23/0.48 fof(f1592,plain,(
% 0.23/0.48 ~sP40_prd|sP41_prd|~e4=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f19,f455])).
% 0.23/0.48 fof(f1593,plain,(
% 0.23/0.48 ~sP40_prd|sP41_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1592])).
% 0.23/0.48 fof(f1594,plain,(
% 0.23/0.48 sP41_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1593,f1583])).
% 0.23/0.48 fof(f1599,plain,(
% 0.23/0.48 ~sP41_prd|sP42_prd|~e3=e3),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f15,f461])).
% 0.23/0.48 fof(f1600,plain,(
% 0.23/0.48 ~sP41_prd|sP42_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1599])).
% 0.23/0.48 fof(f1601,plain,(
% 0.23/0.48 sP42_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1600,f1594])).
% 0.23/0.48 fof(f1606,plain,(
% 0.23/0.48 ~sP42_prd|sP43_prd|~e3=e3),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f15,f471])).
% 0.23/0.48 fof(f1607,plain,(
% 0.23/0.48 ~sP42_prd|sP43_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1606])).
% 0.23/0.48 fof(f1608,plain,(
% 0.23/0.48 sP43_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1607,f1601])).
% 0.23/0.48 fof(f1617,plain,(
% 0.23/0.48 ~sP43_prd|sP44_prd|~e2=e2),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f35,f485])).
% 0.23/0.48 fof(f1618,plain,(
% 0.23/0.48 ~sP43_prd|sP44_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1617])).
% 0.23/0.48 fof(f1619,plain,(
% 0.23/0.48 sP44_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1618,f1608])).
% 0.23/0.48 fof(f1625,plain,(
% 0.23/0.48 ~sP44_prd|sP45_prd|~e2=e2),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f16,f492])).
% 0.23/0.48 fof(f1626,plain,(
% 0.23/0.48 ~sP44_prd|sP45_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1625])).
% 0.23/0.48 fof(f1627,plain,(
% 0.23/0.48 sP45_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1626,f1619])).
% 0.23/0.48 fof(f1634,plain,(
% 0.23/0.48 ~sP45_prd|sP46_prd|~e1=e1),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f25,f503])).
% 0.23/0.48 fof(f1635,plain,(
% 0.23/0.48 ~sP45_prd|sP46_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1634])).
% 0.23/0.48 fof(f1636,plain,(
% 0.23/0.48 sP46_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1635,f1627])).
% 0.23/0.48 fof(f1644,plain,(
% 0.23/0.48 ~sP46_prd|sP47_prd|~e1=e1),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f18,f514])).
% 0.23/0.48 fof(f1645,plain,(
% 0.23/0.48 ~sP46_prd|sP47_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1644])).
% 0.23/0.48 fof(f1646,plain,(
% 0.23/0.48 sP47_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1645,f1636])).
% 0.23/0.48 fof(f1652,plain,(
% 0.23/0.48 ~sP47_prd|sP48_prd|~e0=e0),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f20,f522])).
% 0.23/0.48 fof(f1653,plain,(
% 0.23/0.48 ~sP47_prd|sP48_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1652])).
% 0.23/0.48 fof(f1654,plain,(
% 0.23/0.48 sP48_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1653,f1646])).
% 0.23/0.48 fof(f1661,plain,(
% 0.23/0.48 ~sP48_prd|sP49_prd|~e0=e0),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f17,f533])).
% 0.23/0.48 fof(f1662,plain,(
% 0.23/0.48 ~sP48_prd|sP49_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1661])).
% 0.23/0.48 fof(f1663,plain,(
% 0.23/0.48 sP49_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1662,f1654])).
% 0.23/0.48 fof(f1669,plain,(
% 0.23/0.48 ~sP49_prd|sP50_prd|~e1=e1),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f39,f542])).
% 0.23/0.48 fof(f1670,plain,(
% 0.23/0.48 ~sP49_prd|sP50_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1669])).
% 0.23/0.48 fof(f1671,plain,(
% 0.23/0.48 sP50_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1670,f1663])).
% 0.23/0.48 fof(f1679,plain,(
% 0.23/0.48 ~sP50_prd|sP51_prd|~e3=e3),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f38,f554])).
% 0.23/0.48 fof(f1680,plain,(
% 0.23/0.48 ~sP50_prd|sP51_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1679])).
% 0.23/0.48 fof(f1681,plain,(
% 0.23/0.48 sP51_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1680,f1671])).
% 0.23/0.48 fof(f1690,plain,(
% 0.23/0.48 ~sP51_prd|sP52_prd|~e4=e4),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f37,f565])).
% 0.23/0.48 fof(f1691,plain,(
% 0.23/0.48 ~sP51_prd|sP52_prd),
% 0.23/0.48 inference(trivial_equality_resolution,[status(thm)],[f1690])).
% 0.23/0.48 fof(f1692,plain,(
% 0.23/0.48 sP52_prd),
% 0.23/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1691,f1681])).
% 0.23/0.48 fof(f1697,plain,(
% 0.23/0.48 ~sP52_prd|sP53_prd|~e0=e0),
% 0.23/0.48 inference(forward_demodulation,[status(thm)],[f36,f571])).
% 0.23/0.49 fof(f1698,plain,(
% 0.23/0.49 ~sP52_prd|sP53_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1697])).
% 0.23/0.49 fof(f1699,plain,(
% 0.23/0.49 sP53_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1698,f1692])).
% 0.23/0.49 fof(f1706,plain,(
% 0.23/0.49 ~sP53_prd|sP54_prd|~e2=e2),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f35,f583])).
% 0.23/0.49 fof(f1707,plain,(
% 0.23/0.49 ~sP53_prd|sP54_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1706])).
% 0.23/0.49 fof(f1708,plain,(
% 0.23/0.49 sP54_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1707,f1699])).
% 0.23/0.49 fof(f1715,plain,(
% 0.23/0.49 ~sP54_prd|sP55_prd|~e2=e2),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f34,f593])).
% 0.23/0.49 fof(f1716,plain,(
% 0.23/0.49 ~sP54_prd|sP55_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1715])).
% 0.23/0.49 fof(f1717,plain,(
% 0.23/0.49 sP55_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1716,f1708])).
% 0.23/0.49 fof(f1722,plain,(
% 0.23/0.49 ~sP55_prd|sP56_prd|~e0=e0),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f33,f601])).
% 0.23/0.49 fof(f1723,plain,(
% 0.23/0.49 ~sP55_prd|sP56_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1722])).
% 0.23/0.49 fof(f1724,plain,(
% 0.23/0.49 sP56_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1723,f1717])).
% 0.23/0.49 fof(f1732,plain,(
% 0.23/0.49 ~sP56_prd|sP57_prd|~e3=e3),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f32,f614])).
% 0.23/0.49 fof(f1733,plain,(
% 0.23/0.49 ~sP56_prd|sP57_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1732])).
% 0.23/0.49 fof(f1734,plain,(
% 0.23/0.49 sP57_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1733,f1724])).
% 0.23/0.49 fof(f1740,plain,(
% 0.23/0.49 ~sP57_prd|sP58_prd|~e1=e1),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f31,f622])).
% 0.23/0.49 fof(f1741,plain,(
% 0.23/0.49 ~sP57_prd|sP58_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1740])).
% 0.23/0.49 fof(f1742,plain,(
% 0.23/0.49 sP58_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1741,f1734])).
% 0.23/0.49 fof(f1751,plain,(
% 0.23/0.49 ~sP58_prd|sP59_prd|~e4=e4),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f30,f635])).
% 0.23/0.49 fof(f1752,plain,(
% 0.23/0.49 ~sP58_prd|sP59_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1751])).
% 0.23/0.49 fof(f1753,plain,(
% 0.23/0.49 sP59_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1752,f1742])).
% 0.23/0.49 fof(f1758,plain,(
% 0.23/0.49 ~sP59_prd|sP60_prd|~e0=e0),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f29,f641])).
% 0.23/0.49 fof(f1759,plain,(
% 0.23/0.49 ~sP59_prd|sP60_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1758])).
% 0.23/0.49 fof(f1760,plain,(
% 0.23/0.49 sP60_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1759,f1753])).
% 0.23/0.49 fof(f1769,plain,(
% 0.23/0.49 ~sP60_prd|sP61_prd|~e4=e4),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f28,f655])).
% 0.23/0.49 fof(f1770,plain,(
% 0.23/0.49 ~sP60_prd|sP61_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1769])).
% 0.23/0.49 fof(f1771,plain,(
% 0.23/0.49 sP61_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1770,f1760])).
% 0.23/0.49 fof(f1778,plain,(
% 0.23/0.49 ~sP61_prd|sP62_prd|~e2=e2),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f27,f663])).
% 0.23/0.49 fof(f1779,plain,(
% 0.23/0.49 ~sP61_prd|sP62_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1778])).
% 0.23/0.49 fof(f1780,plain,(
% 0.23/0.49 sP62_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1779,f1771])).
% 0.23/0.49 fof(f1788,plain,(
% 0.23/0.49 ~sP62_prd|sP63_prd|~e3=e3),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f26,f674])).
% 0.23/0.49 fof(f1789,plain,(
% 0.23/0.49 ~sP62_prd|sP63_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1788])).
% 0.23/0.49 fof(f1790,plain,(
% 0.23/0.49 sP63_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1789,f1780])).
% 0.23/0.49 fof(f1796,plain,(
% 0.23/0.49 ~sP63_prd|sP64_prd|~e1=e1),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f25,f682])).
% 0.23/0.49 fof(f1797,plain,(
% 0.23/0.49 ~sP63_prd|sP64_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1796])).
% 0.23/0.49 fof(f1798,plain,(
% 0.23/0.49 sP64_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1797,f1790])).
% 0.23/0.49 fof(f1806,plain,(
% 0.23/0.49 ~sP64_prd|sP65_prd|~e3=e3),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f24,f694])).
% 0.23/0.49 fof(f1807,plain,(
% 0.23/0.49 ~sP64_prd|sP65_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1806])).
% 0.23/0.49 fof(f1808,plain,(
% 0.23/0.49 sP65_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1807,f1798])).
% 0.23/0.49 fof(f1815,plain,(
% 0.23/0.49 ~sP65_prd|sP66_prd|~e2=e2),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f23,f703])).
% 0.23/0.49 fof(f1816,plain,(
% 0.23/0.49 ~sP65_prd|sP66_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1815])).
% 0.23/0.49 fof(f1817,plain,(
% 0.23/0.49 sP66_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1816,f1808])).
% 0.23/0.49 fof(f1823,plain,(
% 0.23/0.49 ~sP66_prd|sP67_prd|~e1=e1),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f22,f712])).
% 0.23/0.49 fof(f1824,plain,(
% 0.23/0.49 ~sP66_prd|sP67_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1823])).
% 0.23/0.49 fof(f1825,plain,(
% 0.23/0.49 sP67_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1824,f1817])).
% 0.23/0.49 fof(f1834,plain,(
% 0.23/0.49 ~sP67_prd|sP68_prd|~e4=e4),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f21,f725])).
% 0.23/0.49 fof(f1835,plain,(
% 0.23/0.49 ~sP67_prd|sP68_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1834])).
% 0.23/0.49 fof(f1836,plain,(
% 0.23/0.49 sP68_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1835,f1825])).
% 0.23/0.49 fof(f1841,plain,(
% 0.23/0.49 ~sP68_prd|sP69_prd|~e0=e0),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f20,f731])).
% 0.23/0.49 fof(f1842,plain,(
% 0.23/0.49 ~sP68_prd|sP69_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1841])).
% 0.23/0.49 fof(f1843,plain,(
% 0.23/0.49 sP69_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1842,f1836])).
% 0.23/0.49 fof(f1852,plain,(
% 0.23/0.49 ~sP69_prd|sP70_prd|~e4=e4),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f19,f745])).
% 0.23/0.49 fof(f1853,plain,(
% 0.23/0.49 ~sP69_prd|sP70_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1852])).
% 0.23/0.49 fof(f1854,plain,(
% 0.23/0.49 sP70_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1853,f1843])).
% 0.23/0.49 fof(f1860,plain,(
% 0.23/0.49 ~sP70_prd|sP71_prd|~e1=e1),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f18,f752])).
% 0.23/0.49 fof(f1861,plain,(
% 0.23/0.49 ~sP70_prd|sP71_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1860])).
% 0.23/0.49 fof(f1862,plain,(
% 0.23/0.49 sP71_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1861,f1854])).
% 0.23/0.49 fof(f1867,plain,(
% 0.23/0.49 ~sP71_prd|sP72_prd|~e0=e0),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f17,f761])).
% 0.23/0.49 fof(f1868,plain,(
% 0.23/0.49 ~sP71_prd|sP72_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1867])).
% 0.23/0.49 fof(f1869,plain,(
% 0.23/0.49 sP72_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1868,f1862])).
% 0.23/0.49 fof(f1876,plain,(
% 0.23/0.49 ~sP72_prd|sP73_prd|~e2=e2),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f16,f773])).
% 0.23/0.49 fof(f1877,plain,(
% 0.23/0.49 ~sP72_prd|sP73_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1876])).
% 0.23/0.49 fof(f1878,plain,(
% 0.23/0.49 sP73_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1877,f1869])).
% 0.23/0.49 fof(f1886,plain,(
% 0.23/0.49 ~sP73_prd|sP74_prd|~e3=e3),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f15,f784])).
% 0.23/0.49 fof(f1887,plain,(
% 0.23/0.49 ~sP73_prd|sP74_prd),
% 0.23/0.49 inference(trivial_equality_resolution,[status(thm)],[f1886])).
% 0.23/0.49 fof(f1888,plain,(
% 0.23/0.49 sP74_prd),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1887,f1878])).
% 0.23/0.49 fof(f1894,plain,(
% 0.23/0.49 ~sP74_prd|e4=e0|op(e1,e4)=e1|op(e2,e4)=e2|op(e3,e4)=e3|op(e4,e4)=e4),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f19,f792])).
% 0.23/0.49 fof(f1895,plain,(
% 0.23/0.49 ~sP74_prd|e4=e0|e3=e1|op(e2,e4)=e2|op(e3,e4)=e3|op(e4,e4)=e4),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f24,f1894])).
% 0.23/0.49 fof(f1896,plain,(
% 0.23/0.49 ~sP74_prd|e4=e0|e3=e1|e0=e2|op(e3,e4)=e3|op(e4,e4)=e4),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f29,f1895])).
% 0.23/0.49 fof(f1897,plain,(
% 0.23/0.49 ~sP74_prd|e4=e0|e3=e1|e0=e2|e2=e3|op(e4,e4)=e4),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f34,f1896])).
% 0.23/0.49 fof(f1898,plain,(
% 0.23/0.49 ~sP74_prd|e4=e0|e3=e1|e0=e2|e2=e3|e1=e4),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f39,f1897])).
% 0.23/0.49 fof(f1899,plain,(
% 0.23/0.49 e4=e0|e3=e1|e0=e2|e2=e3|e1=e4),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1898,f1888])).
% 0.23/0.49 fof(f1949,plain,(
% 0.23/0.49 e4=e0|e3=e1|e0=e2|e1=e4),
% 0.23/0.49 inference(resolution,[status(thm)],[f1899,f12])).
% 0.23/0.49 fof(f1965,plain,(
% 0.23/0.49 e3=e1|e0=e2|e1=e4),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1949,f8])).
% 0.23/0.49 fof(f1981,plain,(
% 0.23/0.49 e0=e2|e1=e4),
% 0.23/0.49 inference(resolution,[status(thm)],[f1965,f10])).
% 0.23/0.49 fof(f1997,plain,(
% 0.23/0.49 op(e4,e4)=e4),
% 0.23/0.49 inference(backward_demodulation,[status(thm)],[f2014,f39])).
% 0.23/0.49 fof(f1998,plain,(
% 0.23/0.49 op(e4,e4)=e0),
% 0.23/0.49 inference(backward_demodulation,[status(thm)],[f2014,f36])).
% 0.23/0.49 fof(f2014,plain,(
% 0.23/0.49 e1=e4),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1981,f6])).
% 0.23/0.49 fof(f2030,plain,(
% 0.23/0.49 e4=e0),
% 0.23/0.49 inference(forward_demodulation,[status(thm)],[f1997,f1998])).
% 0.23/0.49 fof(f2031,plain,(
% 0.23/0.49 $false),
% 0.23/0.49 inference(forward_subsumption_resolution,[status(thm)],[f2030,f8])).
% 0.23/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.50 % Elapsed time: 0.129971 seconds
% 0.23/0.50 % CPU time: 0.301356 seconds
% 0.23/0.50 % Total memory used: 92.920 MB
% 0.23/0.50 % Net memory used: 92.646 MB
%------------------------------------------------------------------------------