%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG187+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 : n001.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 0.13s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG187+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 13:06:30 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.44 % Drodi V4.1.1
% 0.13/0.48 % Refutation found
% 0.13/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.48 fof(f1,axiom,(
% 0.13/0.48 ( e0 != e1& e0 != e2& e0 != e3& e0 != e4& e1 != e2& e1 != e3& e1 != e4& e2 != e3& e2 != e4& e3 != e4 ) ),
% 0.13/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f2,axiom,(
% 0.13/0.48 ( op(e0,e0) = e4& op(e0,e1) = e2& op(e0,e2) = e0& op(e0,e3) = e1& op(e0,e4) = e3& op(e1,e0) = e0& op(e1,e1) = e1& op(e1,e2) = e2& op(e1,e3) = e3& op(e1,e4) = e4& op(e2,e0) = e1& op(e2,e1) = e4& op(e2,e2) = e3& op(e2,e3) = e0& op(e2,e4) = e2& op(e3,e0) = e3& op(e3,e1) = e0& op(e3,e2) = e4& op(e3,e3) = e2& op(e3,e4) = e1& op(e4,e0) = e2& op(e4,e1) = e3& op(e4,e2) = e1& op(e4,e3) = e4& op(e4,e4) = e0 ) ),
% 0.13/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f3,conjecture,(
% 0.13/0.48 ( ( ( op(e0,e0) != e0& op(e0,e1) != e1& op(e0,e2) != e2& op(e0,e3) != e3& op(e0,e4) != e4 )| ( op(e1,e0) != e0& op(e1,e1) != e1& op(e1,e2) != e2& op(e1,e3) != e3& op(e1,e4) != e4 )| ( op(e2,e0) != e0& op(e2,e1) != e1& op(e2,e2) != e2& op(e2,e3) != e3& op(e2,e4) != e4 )| ( op(e3,e0) != e0& op(e3,e1) != e1& op(e3,e2) != e2& op(e3,e3) != e3& op(e3,e4) != e4 )| ( op(e4,e0) != e0& op(e4,e1) != e1& op(e4,e2) != e2& op(e4,e3) != 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 ) ),
% 0.13/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.48 fof(f4,negated_conjecture,(
% 0.13/0.48 ~(( ( ( op(e0,e0) != e0& op(e0,e1) != e1& op(e0,e2) != e2& op(e0,e3) != e3& op(e0,e4) != e4 )| ( op(e1,e0) != e0& op(e1,e1) != e1& op(e1,e2) != e2& op(e1,e3) != e3& op(e1,e4) != e4 )| ( op(e2,e0) != e0& op(e2,e1) != e1& op(e2,e2) != e2& op(e2,e3) != e3& op(e2,e4) != e4 )| ( op(e3,e0) != e0& op(e3,e1) != e1& op(e3,e2) != e2& op(e3,e3) != e3& op(e3,e4) != e4 )| ( op(e4,e0) != e0& op(e4,e1) != e1& op(e4,e2) != e2& op(e4,e3) != 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 ) )),
% 0.13/0.48 inference(negated_conjecture,[status(cth)],[f3])).
% 0.13/0.48 fof(f6,plain,(
% 0.13/0.48 ~e0=e2),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.48 fof(f8,plain,(
% 0.13/0.48 ~e0=e4),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.48 fof(f10,plain,(
% 0.13/0.48 ~e1=e3),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.48 fof(f14,plain,(
% 0.13/0.48 ~e3=e4),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.48 fof(f15,plain,(
% 0.13/0.48 op(e0,e0)=e4),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f16,plain,(
% 0.13/0.48 op(e0,e1)=e2),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f17,plain,(
% 0.13/0.48 op(e0,e2)=e0),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f18,plain,(
% 0.13/0.48 op(e0,e3)=e1),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f19,plain,(
% 0.13/0.48 op(e0,e4)=e3),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f20,plain,(
% 0.13/0.48 op(e1,e0)=e0),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f21,plain,(
% 0.13/0.48 op(e1,e1)=e1),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f22,plain,(
% 0.13/0.48 op(e1,e2)=e2),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f23,plain,(
% 0.13/0.48 op(e1,e3)=e3),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f24,plain,(
% 0.13/0.48 op(e1,e4)=e4),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f25,plain,(
% 0.13/0.48 op(e2,e0)=e1),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f26,plain,(
% 0.13/0.48 op(e2,e1)=e4),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f27,plain,(
% 0.13/0.48 op(e2,e2)=e3),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f28,plain,(
% 0.13/0.48 op(e2,e3)=e0),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f29,plain,(
% 0.13/0.48 op(e2,e4)=e2),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f30,plain,(
% 0.13/0.48 op(e3,e0)=e3),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f31,plain,(
% 0.13/0.48 op(e3,e1)=e0),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f32,plain,(
% 0.13/0.48 op(e3,e2)=e4),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f33,plain,(
% 0.13/0.48 op(e3,e3)=e2),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f34,plain,(
% 0.13/0.48 op(e3,e4)=e1),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f35,plain,(
% 0.13/0.48 op(e4,e0)=e2),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f36,plain,(
% 0.13/0.48 op(e4,e1)=e3),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f37,plain,(
% 0.13/0.48 op(e4,e2)=e1),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f38,plain,(
% 0.13/0.48 op(e4,e3)=e4),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f39,plain,(
% 0.13/0.48 op(e4,e4)=e0),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.48 fof(f40,plain,(
% 0.13/0.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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)),
% 0.13/0.48 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.48 fof(f41,definition,(
% 0.13/0.48 sP0_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/0.48 fof(f42,plain,(
% 0.13/0.48 (((((((((((((((((((((((((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),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f40,f41])).
% 0.13/0.48 fof(f44,plain,(
% 0.13/0.48 sP0_prd|~op(e1,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),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.48 fof(f48,definition,(
% 0.13/0.48 sP1_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.13/0.48 fof(f49,plain,(
% 0.13/0.48 sP0_prd<=>(sP1_prd|((((~op(e4,e0)=e4&~op(e4,e1)=e4)&~op(e4,e2)=e4)&~op(e4,e3)=e4)&~op(e4,e4)=e4))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f41,f48])).
% 0.13/0.48 fof(f50,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f49])).
% 0.13/0.48 fof(f54,plain,(
% 0.13/0.48 ~sP0_prd|sP1_prd|~op(e4,e3)=e4),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/0.48 fof(f58,definition,(
% 0.13/0.48 sP2_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.13/0.48 fof(f59,plain,(
% 0.13/0.48 sP1_prd<=>(sP2_prd|((((~op(e0,e4)=e3&~op(e1,e4)=e3)&~op(e2,e4)=e3)&~op(e3,e4)=e3)&~op(e4,e4)=e3))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f48,f58])).
% 0.13/0.48 fof(f60,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f59])).
% 0.13/0.48 fof(f61,plain,(
% 0.13/0.48 ~sP1_prd|sP2_prd|~op(e0,e4)=e3),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f60])).
% 0.13/0.48 fof(f68,definition,(
% 0.13/0.48 sP3_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.13/0.48 fof(f69,plain,(
% 0.13/0.48 sP2_prd<=>(sP3_prd|((((~op(e4,e0)=e3&~op(e4,e1)=e3)&~op(e4,e2)=e3)&~op(e4,e3)=e3)&~op(e4,e4)=e3))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f58,f68])).
% 0.13/0.48 fof(f70,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f69])).
% 0.13/0.48 fof(f72,plain,(
% 0.13/0.48 ~sP2_prd|sP3_prd|~op(e4,e1)=e3),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f70])).
% 0.13/0.48 fof(f78,definition,(
% 0.13/0.48 sP4_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 0.13/0.48 fof(f79,plain,(
% 0.13/0.48 sP3_prd<=>(sP4_prd|((((~op(e0,e4)=e2&~op(e1,e4)=e2)&~op(e2,e4)=e2)&~op(e3,e4)=e2)&~op(e4,e4)=e2))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f68,f78])).
% 0.13/0.48 fof(f80,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f79])).
% 0.13/0.48 fof(f83,plain,(
% 0.13/0.48 ~sP3_prd|sP4_prd|~op(e2,e4)=e2),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f80])).
% 0.13/0.48 fof(f88,definition,(
% 0.13/0.48 sP5_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.13/0.48 fof(f89,plain,(
% 0.13/0.48 sP4_prd<=>(sP5_prd|((((~op(e4,e0)=e2&~op(e4,e1)=e2)&~op(e4,e2)=e2)&~op(e4,e3)=e2)&~op(e4,e4)=e2))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f78,f88])).
% 0.13/0.48 fof(f90,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f89])).
% 0.13/0.48 fof(f91,plain,(
% 0.13/0.48 ~sP4_prd|sP5_prd|~op(e4,e0)=e2),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f90])).
% 0.13/0.48 fof(f98,definition,(
% 0.13/0.48 sP6_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 0.13/0.48 fof(f99,plain,(
% 0.13/0.48 sP5_prd<=>(sP6_prd|((((~op(e0,e4)=e1&~op(e1,e4)=e1)&~op(e2,e4)=e1)&~op(e3,e4)=e1)&~op(e4,e4)=e1))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f88,f98])).
% 0.13/0.48 fof(f100,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f99])).
% 0.13/0.48 fof(f104,plain,(
% 0.13/0.48 ~sP5_prd|sP6_prd|~op(e3,e4)=e1),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f100])).
% 0.13/0.48 fof(f108,definition,(
% 0.13/0.48 sP7_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 0.13/0.48 fof(f109,plain,(
% 0.13/0.48 sP6_prd<=>(sP7_prd|((((~op(e4,e0)=e1&~op(e4,e1)=e1)&~op(e4,e2)=e1)&~op(e4,e3)=e1)&~op(e4,e4)=e1))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f98,f108])).
% 0.13/0.48 fof(f110,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f109])).
% 0.13/0.48 fof(f113,plain,(
% 0.13/0.48 ~sP6_prd|sP7_prd|~op(e4,e2)=e1),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f110])).
% 0.13/0.48 fof(f118,definition,(
% 0.13/0.48 sP8_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 0.13/0.48 fof(f119,plain,(
% 0.13/0.48 sP7_prd<=>(sP8_prd|((((~op(e0,e4)=e0&~op(e1,e4)=e0)&~op(e2,e4)=e0)&~op(e3,e4)=e0)&~op(e4,e4)=e0))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f108,f118])).
% 0.13/0.48 fof(f120,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f119])).
% 0.13/0.48 fof(f125,plain,(
% 0.13/0.48 ~sP7_prd|sP8_prd|~op(e4,e4)=e0),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f120])).
% 0.13/0.48 fof(f128,definition,(
% 0.13/0.48 sP9_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 0.13/0.48 fof(f129,plain,(
% 0.13/0.48 sP8_prd<=>(sP9_prd|((((~op(e4,e0)=e0&~op(e4,e1)=e0)&~op(e4,e2)=e0)&~op(e4,e3)=e0)&~op(e4,e4)=e0))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f118,f128])).
% 0.13/0.48 fof(f130,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f129])).
% 0.13/0.48 fof(f135,plain,(
% 0.13/0.48 ~sP8_prd|sP9_prd|~op(e4,e4)=e0),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f130])).
% 0.13/0.48 fof(f138,definition,(
% 0.13/0.48 sP10_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 0.13/0.48 fof(f139,plain,(
% 0.13/0.48 sP9_prd<=>(sP10_prd|((((~op(e0,e3)=e4&~op(e1,e3)=e4)&~op(e2,e3)=e4)&~op(e3,e3)=e4)&~op(e4,e3)=e4))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f128,f138])).
% 0.13/0.48 fof(f140,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f139])).
% 0.13/0.48 fof(f145,plain,(
% 0.13/0.48 ~sP9_prd|sP10_prd|~op(e4,e3)=e4),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f140])).
% 0.13/0.48 fof(f148,definition,(
% 0.13/0.48 sP11_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 0.13/0.48 fof(f149,plain,(
% 0.13/0.48 sP10_prd<=>(sP11_prd|((((~op(e3,e0)=e4&~op(e3,e1)=e4)&~op(e3,e2)=e4)&~op(e3,e3)=e4)&~op(e3,e4)=e4))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f138,f148])).
% 0.13/0.48 fof(f150,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f149])).
% 0.13/0.48 fof(f153,plain,(
% 0.13/0.48 ~sP10_prd|sP11_prd|~op(e3,e2)=e4),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f150])).
% 0.13/0.48 fof(f158,definition,(
% 0.13/0.48 sP12_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 0.13/0.48 fof(f159,plain,(
% 0.13/0.48 sP11_prd<=>(sP12_prd|((((~op(e0,e3)=e3&~op(e1,e3)=e3)&~op(e2,e3)=e3)&~op(e3,e3)=e3)&~op(e4,e3)=e3))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f148,f158])).
% 0.13/0.48 fof(f160,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f159])).
% 0.13/0.48 fof(f162,plain,(
% 0.13/0.48 ~sP11_prd|sP12_prd|~op(e1,e3)=e3),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f160])).
% 0.13/0.48 fof(f168,definition,(
% 0.13/0.48 sP13_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP13_prd])],[])).
% 0.13/0.48 fof(f169,plain,(
% 0.13/0.48 sP12_prd<=>(sP13_prd|((((~op(e3,e0)=e3&~op(e3,e1)=e3)&~op(e3,e2)=e3)&~op(e3,e3)=e3)&~op(e3,e4)=e3))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f158,f168])).
% 0.13/0.48 fof(f170,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f169])).
% 0.13/0.48 fof(f171,plain,(
% 0.13/0.48 ~sP12_prd|sP13_prd|~op(e3,e0)=e3),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f170])).
% 0.13/0.48 fof(f178,definition,(
% 0.13/0.48 sP14_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP14_prd])],[])).
% 0.13/0.48 fof(f179,plain,(
% 0.13/0.48 sP13_prd<=>(sP14_prd|((((~op(e0,e3)=e2&~op(e1,e3)=e2)&~op(e2,e3)=e2)&~op(e3,e3)=e2)&~op(e4,e3)=e2))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f168,f178])).
% 0.13/0.48 fof(f180,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f179])).
% 0.13/0.48 fof(f184,plain,(
% 0.13/0.48 ~sP13_prd|sP14_prd|~op(e3,e3)=e2),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f180])).
% 0.13/0.48 fof(f188,definition,(
% 0.13/0.48 sP15_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP15_prd])],[])).
% 0.13/0.48 fof(f189,plain,(
% 0.13/0.48 sP14_prd<=>(sP15_prd|((((~op(e3,e0)=e2&~op(e3,e1)=e2)&~op(e3,e2)=e2)&~op(e3,e3)=e2)&~op(e3,e4)=e2))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f178,f188])).
% 0.13/0.48 fof(f190,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f189])).
% 0.13/0.48 fof(f194,plain,(
% 0.13/0.48 ~sP14_prd|sP15_prd|~op(e3,e3)=e2),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f190])).
% 0.13/0.48 fof(f198,definition,(
% 0.13/0.48 sP16_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP16_prd])],[])).
% 0.13/0.48 fof(f199,plain,(
% 0.13/0.48 sP15_prd<=>(sP16_prd|((((~op(e0,e3)=e1&~op(e1,e3)=e1)&~op(e2,e3)=e1)&~op(e3,e3)=e1)&~op(e4,e3)=e1))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f188,f198])).
% 0.13/0.48 fof(f200,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f199])).
% 0.13/0.48 fof(f201,plain,(
% 0.13/0.48 ~sP15_prd|sP16_prd|~op(e0,e3)=e1),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f200])).
% 0.13/0.48 fof(f208,definition,(
% 0.13/0.48 sP17_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP17_prd])],[])).
% 0.13/0.48 fof(f209,plain,(
% 0.13/0.48 sP16_prd<=>(sP17_prd|((((~op(e3,e0)=e1&~op(e3,e1)=e1)&~op(e3,e2)=e1)&~op(e3,e3)=e1)&~op(e3,e4)=e1))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f198,f208])).
% 0.13/0.48 fof(f210,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f209])).
% 0.13/0.48 fof(f215,plain,(
% 0.13/0.48 ~sP16_prd|sP17_prd|~op(e3,e4)=e1),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f210])).
% 0.13/0.48 fof(f218,definition,(
% 0.13/0.48 sP18_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP18_prd])],[])).
% 0.13/0.48 fof(f219,plain,(
% 0.13/0.48 sP17_prd<=>(sP18_prd|((((~op(e0,e3)=e0&~op(e1,e3)=e0)&~op(e2,e3)=e0)&~op(e3,e3)=e0)&~op(e4,e3)=e0))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f208,f218])).
% 0.13/0.48 fof(f220,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f219])).
% 0.13/0.48 fof(f223,plain,(
% 0.13/0.48 ~sP17_prd|sP18_prd|~op(e2,e3)=e0),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f220])).
% 0.13/0.48 fof(f228,definition,(
% 0.13/0.48 sP19_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP19_prd])],[])).
% 0.13/0.48 fof(f229,plain,(
% 0.13/0.48 sP18_prd<=>(sP19_prd|((((~op(e3,e0)=e0&~op(e3,e1)=e0)&~op(e3,e2)=e0)&~op(e3,e3)=e0)&~op(e3,e4)=e0))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f218,f228])).
% 0.13/0.48 fof(f230,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f229])).
% 0.13/0.48 fof(f232,plain,(
% 0.13/0.48 ~sP18_prd|sP19_prd|~op(e3,e1)=e0),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f230])).
% 0.13/0.48 fof(f238,definition,(
% 0.13/0.48 sP20_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP20_prd])],[])).
% 0.13/0.48 fof(f239,plain,(
% 0.13/0.48 sP19_prd<=>(sP20_prd|((((~op(e0,e2)=e4&~op(e1,e2)=e4)&~op(e2,e2)=e4)&~op(e3,e2)=e4)&~op(e4,e2)=e4))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f228,f238])).
% 0.13/0.48 fof(f240,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f239])).
% 0.13/0.48 fof(f244,plain,(
% 0.13/0.48 ~sP19_prd|sP20_prd|~op(e3,e2)=e4),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f240])).
% 0.13/0.48 fof(f248,definition,(
% 0.13/0.48 sP21_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP21_prd])],[])).
% 0.13/0.48 fof(f249,plain,(
% 0.13/0.48 sP20_prd<=>(sP21_prd|((((~op(e2,e0)=e4&~op(e2,e1)=e4)&~op(e2,e2)=e4)&~op(e2,e3)=e4)&~op(e2,e4)=e4))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f238,f248])).
% 0.13/0.48 fof(f250,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f249])).
% 0.13/0.48 fof(f252,plain,(
% 0.13/0.48 ~sP20_prd|sP21_prd|~op(e2,e1)=e4),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f250])).
% 0.13/0.48 fof(f258,definition,(
% 0.13/0.48 sP22_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP22_prd])],[])).
% 0.13/0.48 fof(f259,plain,(
% 0.13/0.48 sP21_prd<=>(sP22_prd|((((~op(e0,e2)=e3&~op(e1,e2)=e3)&~op(e2,e2)=e3)&~op(e3,e2)=e3)&~op(e4,e2)=e3))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f248,f258])).
% 0.13/0.48 fof(f260,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f259])).
% 0.13/0.48 fof(f263,plain,(
% 0.13/0.48 ~sP21_prd|sP22_prd|~op(e2,e2)=e3),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f260])).
% 0.13/0.48 fof(f268,definition,(
% 0.13/0.48 sP23_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP23_prd])],[])).
% 0.13/0.48 fof(f269,plain,(
% 0.13/0.48 sP22_prd<=>(sP23_prd|((((~op(e2,e0)=e3&~op(e2,e1)=e3)&~op(e2,e2)=e3)&~op(e2,e3)=e3)&~op(e2,e4)=e3))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f258,f268])).
% 0.13/0.48 fof(f270,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f269])).
% 0.13/0.48 fof(f273,plain,(
% 0.13/0.48 ~sP22_prd|sP23_prd|~op(e2,e2)=e3),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f270])).
% 0.13/0.48 fof(f278,definition,(
% 0.13/0.48 sP24_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP24_prd])],[])).
% 0.13/0.48 fof(f279,plain,(
% 0.13/0.48 sP23_prd<=>(sP24_prd|((((~op(e0,e2)=e2&~op(e1,e2)=e2)&~op(e2,e2)=e2)&~op(e3,e2)=e2)&~op(e4,e2)=e2))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f268,f278])).
% 0.13/0.48 fof(f280,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f279])).
% 0.13/0.48 fof(f282,plain,(
% 0.13/0.48 ~sP23_prd|sP24_prd|~op(e1,e2)=e2),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f280])).
% 0.13/0.48 fof(f288,definition,(
% 0.13/0.48 sP25_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP25_prd])],[])).
% 0.13/0.48 fof(f289,plain,(
% 0.13/0.48 sP24_prd<=>(sP25_prd|((((~op(e2,e0)=e2&~op(e2,e1)=e2)&~op(e2,e2)=e2)&~op(e2,e3)=e2)&~op(e2,e4)=e2))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f278,f288])).
% 0.13/0.48 fof(f290,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f289])).
% 0.13/0.48 fof(f295,plain,(
% 0.13/0.48 ~sP24_prd|sP25_prd|~op(e2,e4)=e2),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f290])).
% 0.13/0.48 fof(f298,definition,(
% 0.13/0.48 sP26_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP26_prd])],[])).
% 0.13/0.48 fof(f299,plain,(
% 0.13/0.48 sP25_prd<=>(sP26_prd|((((~op(e0,e2)=e1&~op(e1,e2)=e1)&~op(e2,e2)=e1)&~op(e3,e2)=e1)&~op(e4,e2)=e1))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f288,f298])).
% 0.13/0.48 fof(f300,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f299])).
% 0.13/0.48 fof(f305,plain,(
% 0.13/0.48 ~sP25_prd|sP26_prd|~op(e4,e2)=e1),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f300])).
% 0.13/0.48 fof(f308,definition,(
% 0.13/0.48 sP27_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP27_prd])],[])).
% 0.13/0.48 fof(f309,plain,(
% 0.13/0.48 sP26_prd<=>(sP27_prd|((((~op(e2,e0)=e1&~op(e2,e1)=e1)&~op(e2,e2)=e1)&~op(e2,e3)=e1)&~op(e2,e4)=e1))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f298,f308])).
% 0.13/0.48 fof(f310,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f309])).
% 0.13/0.48 fof(f311,plain,(
% 0.13/0.48 ~sP26_prd|sP27_prd|~op(e2,e0)=e1),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f310])).
% 0.13/0.48 fof(f318,definition,(
% 0.13/0.48 sP28_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP28_prd])],[])).
% 0.13/0.48 fof(f319,plain,(
% 0.13/0.48 sP27_prd<=>(sP28_prd|((((~op(e0,e2)=e0&~op(e1,e2)=e0)&~op(e2,e2)=e0)&~op(e3,e2)=e0)&~op(e4,e2)=e0))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f308,f318])).
% 0.13/0.48 fof(f320,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f319])).
% 0.13/0.48 fof(f321,plain,(
% 0.13/0.48 ~sP27_prd|sP28_prd|~op(e0,e2)=e0),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f320])).
% 0.13/0.48 fof(f328,definition,(
% 0.13/0.48 sP29_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.48 introduced(definition,[new_symbols(definition,[sP29_prd])],[])).
% 0.13/0.48 fof(f329,plain,(
% 0.13/0.48 sP28_prd<=>(sP29_prd|((((~op(e2,e0)=e0&~op(e2,e1)=e0)&~op(e2,e2)=e0)&~op(e2,e3)=e0)&~op(e2,e4)=e0))),
% 0.13/0.48 inference(formula_renaming,[status(thm)],[f318,f328])).
% 0.13/0.48 fof(f330,plain,(
% 0.13/0.48 (~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)))),
% 0.13/0.48 inference(NNF_transformation,[status(thm)],[f329])).
% 0.13/0.48 fof(f334,plain,(
% 0.13/0.48 ~sP28_prd|sP29_prd|~op(e2,e3)=e0),
% 0.13/0.48 inference(cnf_transformation,[status(thm)],[f330])).
% 0.13/0.48 fof(f338,definition,(
% 0.13/0.48 sP30_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP30_prd])],[])).
% 0.13/0.49 fof(f339,plain,(
% 0.13/0.49 sP29_prd<=>(sP30_prd|((((~op(e0,e1)=e4&~op(e1,e1)=e4)&~op(e2,e1)=e4)&~op(e3,e1)=e4)&~op(e4,e1)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f328,f338])).
% 0.13/0.49 fof(f340,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f339])).
% 0.13/0.49 fof(f343,plain,(
% 0.13/0.49 ~sP29_prd|sP30_prd|~op(e2,e1)=e4),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f340])).
% 0.13/0.49 fof(f348,definition,(
% 0.13/0.49 sP31_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP31_prd])],[])).
% 0.13/0.49 fof(f349,plain,(
% 0.13/0.49 sP30_prd<=>(sP31_prd|((((~op(e1,e0)=e4&~op(e1,e1)=e4)&~op(e1,e2)=e4)&~op(e1,e3)=e4)&~op(e1,e4)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f338,f348])).
% 0.13/0.49 fof(f350,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f349])).
% 0.13/0.49 fof(f355,plain,(
% 0.13/0.49 ~sP30_prd|sP31_prd|~op(e1,e4)=e4),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f350])).
% 0.13/0.49 fof(f358,definition,(
% 0.13/0.49 sP32_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP32_prd])],[])).
% 0.13/0.49 fof(f359,plain,(
% 0.13/0.49 sP31_prd<=>(sP32_prd|((((~op(e0,e1)=e3&~op(e1,e1)=e3)&~op(e2,e1)=e3)&~op(e3,e1)=e3)&~op(e4,e1)=e3))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f348,f358])).
% 0.13/0.49 fof(f360,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f359])).
% 0.13/0.49 fof(f365,plain,(
% 0.13/0.49 ~sP31_prd|sP32_prd|~op(e4,e1)=e3),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f360])).
% 0.13/0.49 fof(f368,definition,(
% 0.13/0.49 sP33_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP33_prd])],[])).
% 0.13/0.49 fof(f369,plain,(
% 0.13/0.49 sP32_prd<=>(sP33_prd|((((~op(e1,e0)=e3&~op(e1,e1)=e3)&~op(e1,e2)=e3)&~op(e1,e3)=e3)&~op(e1,e4)=e3))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f358,f368])).
% 0.13/0.49 fof(f370,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f369])).
% 0.13/0.49 fof(f374,plain,(
% 0.13/0.49 ~sP32_prd|sP33_prd|~op(e1,e3)=e3),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f370])).
% 0.13/0.49 fof(f378,definition,(
% 0.13/0.49 sP34_prd<=>((((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP34_prd])],[])).
% 0.13/0.49 fof(f379,plain,(
% 0.13/0.49 sP33_prd<=>(sP34_prd|((((~op(e0,e1)=e2&~op(e1,e1)=e2)&~op(e2,e1)=e2)&~op(e3,e1)=e2)&~op(e4,e1)=e2))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f368,f378])).
% 0.13/0.49 fof(f380,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f379])).
% 0.13/0.49 fof(f381,plain,(
% 0.13/0.49 ~sP33_prd|sP34_prd|~op(e0,e1)=e2),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f380])).
% 0.13/0.49 fof(f388,definition,(
% 0.13/0.49 sP35_prd<=>(((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP35_prd])],[])).
% 0.13/0.49 fof(f389,plain,(
% 0.13/0.49 sP34_prd<=>(sP35_prd|((((~op(e1,e0)=e2&~op(e1,e1)=e2)&~op(e1,e2)=e2)&~op(e1,e3)=e2)&~op(e1,e4)=e2))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f378,f388])).
% 0.13/0.49 fof(f390,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f389])).
% 0.13/0.49 fof(f393,plain,(
% 0.13/0.49 ~sP34_prd|sP35_prd|~op(e1,e2)=e2),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f390])).
% 0.13/0.49 fof(f398,definition,(
% 0.13/0.49 sP36_prd<=>((((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP36_prd])],[])).
% 0.13/0.49 fof(f399,plain,(
% 0.13/0.49 sP35_prd<=>(sP36_prd|((((~op(e0,e1)=e1&~op(e1,e1)=e1)&~op(e2,e1)=e1)&~op(e3,e1)=e1)&~op(e4,e1)=e1))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f388,f398])).
% 0.13/0.49 fof(f400,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f399])).
% 0.13/0.49 fof(f402,plain,(
% 0.13/0.49 ~sP35_prd|sP36_prd|~op(e1,e1)=e1),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f400])).
% 0.13/0.49 fof(f408,definition,(
% 0.13/0.49 sP37_prd<=>(((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP37_prd])],[])).
% 0.13/0.49 fof(f409,plain,(
% 0.13/0.49 sP36_prd<=>(sP37_prd|((((~op(e1,e0)=e1&~op(e1,e1)=e1)&~op(e1,e2)=e1)&~op(e1,e3)=e1)&~op(e1,e4)=e1))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f398,f408])).
% 0.13/0.49 fof(f410,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f409])).
% 0.13/0.49 fof(f412,plain,(
% 0.13/0.49 ~sP36_prd|sP37_prd|~op(e1,e1)=e1),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f410])).
% 0.13/0.49 fof(f418,definition,(
% 0.13/0.49 sP38_prd<=>((((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP38_prd])],[])).
% 0.13/0.49 fof(f419,plain,(
% 0.13/0.49 sP37_prd<=>(sP38_prd|((((~op(e0,e1)=e0&~op(e1,e1)=e0)&~op(e2,e1)=e0)&~op(e3,e1)=e0)&~op(e4,e1)=e0))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f408,f418])).
% 0.13/0.49 fof(f420,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f419])).
% 0.13/0.49 fof(f424,plain,(
% 0.13/0.49 ~sP37_prd|sP38_prd|~op(e3,e1)=e0),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f420])).
% 0.13/0.49 fof(f428,definition,(
% 0.13/0.49 sP39_prd<=>(((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP39_prd])],[])).
% 0.13/0.49 fof(f429,plain,(
% 0.13/0.49 sP38_prd<=>(sP39_prd|((((~op(e1,e0)=e0&~op(e1,e1)=e0)&~op(e1,e2)=e0)&~op(e1,e3)=e0)&~op(e1,e4)=e0))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f418,f428])).
% 0.13/0.49 fof(f430,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f429])).
% 0.13/0.49 fof(f431,plain,(
% 0.13/0.49 ~sP38_prd|sP39_prd|~op(e1,e0)=e0),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f430])).
% 0.13/0.49 fof(f438,definition,(
% 0.13/0.49 sP40_prd<=>((((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP40_prd])],[])).
% 0.13/0.49 fof(f439,plain,(
% 0.13/0.49 sP39_prd<=>(sP40_prd|((((~op(e0,e0)=e4&~op(e1,e0)=e4)&~op(e2,e0)=e4)&~op(e3,e0)=e4)&~op(e4,e0)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f428,f438])).
% 0.13/0.49 fof(f440,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f439])).
% 0.13/0.49 fof(f441,plain,(
% 0.13/0.49 ~sP39_prd|sP40_prd|~op(e0,e0)=e4),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f440])).
% 0.13/0.49 fof(f448,definition,(
% 0.13/0.49 sP41_prd<=>(((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP41_prd])],[])).
% 0.13/0.49 fof(f449,plain,(
% 0.13/0.49 sP40_prd<=>(sP41_prd|((((~op(e0,e0)=e4&~op(e0,e1)=e4)&~op(e0,e2)=e4)&~op(e0,e3)=e4)&~op(e0,e4)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f438,f448])).
% 0.13/0.49 fof(f450,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f449])).
% 0.13/0.49 fof(f451,plain,(
% 0.13/0.49 ~sP40_prd|sP41_prd|~op(e0,e0)=e4),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f450])).
% 0.13/0.49 fof(f458,definition,(
% 0.13/0.49 sP42_prd<=>((((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP42_prd])],[])).
% 0.13/0.49 fof(f459,plain,(
% 0.13/0.49 sP41_prd<=>(sP42_prd|((((~op(e0,e0)=e3&~op(e1,e0)=e3)&~op(e2,e0)=e3)&~op(e3,e0)=e3)&~op(e4,e0)=e3))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f448,f458])).
% 0.13/0.49 fof(f460,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f459])).
% 0.13/0.49 fof(f464,plain,(
% 0.13/0.49 ~sP41_prd|sP42_prd|~op(e3,e0)=e3),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f460])).
% 0.13/0.49 fof(f468,definition,(
% 0.13/0.49 sP43_prd<=>(((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP43_prd])],[])).
% 0.13/0.49 fof(f469,plain,(
% 0.13/0.49 sP42_prd<=>(sP43_prd|((((~op(e0,e0)=e3&~op(e0,e1)=e3)&~op(e0,e2)=e3)&~op(e0,e3)=e3)&~op(e0,e4)=e3))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f458,f468])).
% 0.13/0.49 fof(f470,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f469])).
% 0.13/0.49 fof(f475,plain,(
% 0.13/0.49 ~sP42_prd|sP43_prd|~op(e0,e4)=e3),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f470])).
% 0.13/0.49 fof(f478,definition,(
% 0.13/0.49 sP44_prd<=>((((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP44_prd])],[])).
% 0.13/0.49 fof(f479,plain,(
% 0.13/0.49 sP43_prd<=>(sP44_prd|((((~op(e0,e0)=e2&~op(e1,e0)=e2)&~op(e2,e0)=e2)&~op(e3,e0)=e2)&~op(e4,e0)=e2))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f468,f478])).
% 0.13/0.49 fof(f480,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f479])).
% 0.13/0.49 fof(f485,plain,(
% 0.13/0.49 ~sP43_prd|sP44_prd|~op(e4,e0)=e2),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f480])).
% 0.13/0.49 fof(f488,definition,(
% 0.13/0.49 sP45_prd<=>(((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP45_prd])],[])).
% 0.13/0.49 fof(f489,plain,(
% 0.13/0.49 sP44_prd<=>(sP45_prd|((((~op(e0,e0)=e2&~op(e0,e1)=e2)&~op(e0,e2)=e2)&~op(e0,e3)=e2)&~op(e0,e4)=e2))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f478,f488])).
% 0.13/0.49 fof(f490,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f489])).
% 0.13/0.49 fof(f492,plain,(
% 0.13/0.49 ~sP44_prd|sP45_prd|~op(e0,e1)=e2),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f490])).
% 0.13/0.49 fof(f498,definition,(
% 0.13/0.49 sP46_prd<=>((((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP46_prd])],[])).
% 0.13/0.49 fof(f499,plain,(
% 0.13/0.49 sP45_prd<=>(sP46_prd|((((~op(e0,e0)=e1&~op(e1,e0)=e1)&~op(e2,e0)=e1)&~op(e3,e0)=e1)&~op(e4,e0)=e1))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f488,f498])).
% 0.13/0.49 fof(f500,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f499])).
% 0.13/0.49 fof(f503,plain,(
% 0.13/0.49 ~sP45_prd|sP46_prd|~op(e2,e0)=e1),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f500])).
% 0.13/0.49 fof(f508,definition,(
% 0.13/0.49 sP47_prd<=>(((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP47_prd])],[])).
% 0.13/0.49 fof(f509,plain,(
% 0.13/0.49 sP46_prd<=>(sP47_prd|((((~op(e0,e0)=e1&~op(e0,e1)=e1)&~op(e0,e2)=e1)&~op(e0,e3)=e1)&~op(e0,e4)=e1))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f498,f508])).
% 0.13/0.49 fof(f510,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f509])).
% 0.13/0.49 fof(f514,plain,(
% 0.13/0.49 ~sP46_prd|sP47_prd|~op(e0,e3)=e1),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f510])).
% 0.13/0.49 fof(f518,definition,(
% 0.13/0.49 sP48_prd<=>((((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP48_prd])],[])).
% 0.13/0.49 fof(f519,plain,(
% 0.13/0.49 sP47_prd<=>(sP48_prd|((((~op(e0,e0)=e0&~op(e1,e0)=e0)&~op(e2,e0)=e0)&~op(e3,e0)=e0)&~op(e4,e0)=e0))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f508,f518])).
% 0.13/0.49 fof(f520,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f519])).
% 0.13/0.49 fof(f522,plain,(
% 0.13/0.49 ~sP47_prd|sP48_prd|~op(e1,e0)=e0),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f520])).
% 0.13/0.49 fof(f528,definition,(
% 0.13/0.49 sP49_prd<=>(((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP49_prd])],[])).
% 0.13/0.49 fof(f529,plain,(
% 0.13/0.49 sP48_prd<=>(sP49_prd|((((~op(e0,e0)=e0&~op(e0,e1)=e0)&~op(e0,e2)=e0)&~op(e0,e3)=e0)&~op(e0,e4)=e0))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f518,f528])).
% 0.13/0.49 fof(f530,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f529])).
% 0.13/0.49 fof(f533,plain,(
% 0.13/0.49 ~sP48_prd|sP49_prd|~op(e0,e2)=e0),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f530])).
% 0.13/0.49 fof(f538,definition,(
% 0.13/0.49 sP50_prd<=>((((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP50_prd])],[])).
% 0.13/0.49 fof(f539,plain,(
% 0.13/0.49 sP49_prd<=>(sP50_prd|((((~op(e4,e4)=e0&~op(e4,e4)=e1)&~op(e4,e4)=e2)&~op(e4,e4)=e3)&~op(e4,e4)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f528,f538])).
% 0.13/0.49 fof(f540,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f539])).
% 0.13/0.49 fof(f541,plain,(
% 0.13/0.49 ~sP49_prd|sP50_prd|~op(e4,e4)=e0),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f540])).
% 0.13/0.49 fof(f548,definition,(
% 0.13/0.49 sP51_prd<=>(((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP51_prd])],[])).
% 0.13/0.49 fof(f549,plain,(
% 0.13/0.49 sP50_prd<=>(sP51_prd|((((~op(e4,e3)=e0&~op(e4,e3)=e1)&~op(e4,e3)=e2)&~op(e4,e3)=e3)&~op(e4,e3)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f538,f548])).
% 0.13/0.49 fof(f550,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f549])).
% 0.13/0.49 fof(f555,plain,(
% 0.13/0.49 ~sP50_prd|sP51_prd|~op(e4,e3)=e4),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f550])).
% 0.13/0.49 fof(f558,definition,(
% 0.13/0.49 sP52_prd<=>((((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP52_prd])],[])).
% 0.13/0.49 fof(f559,plain,(
% 0.13/0.49 sP51_prd<=>(sP52_prd|((((~op(e4,e2)=e0&~op(e4,e2)=e1)&~op(e4,e2)=e2)&~op(e4,e2)=e3)&~op(e4,e2)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f548,f558])).
% 0.13/0.49 fof(f560,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f559])).
% 0.13/0.49 fof(f562,plain,(
% 0.13/0.49 ~sP51_prd|sP52_prd|~op(e4,e2)=e1),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f560])).
% 0.13/0.49 fof(f568,definition,(
% 0.13/0.49 sP53_prd<=>(((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP53_prd])],[])).
% 0.13/0.49 fof(f569,plain,(
% 0.13/0.49 sP52_prd<=>(sP53_prd|((((~op(e4,e1)=e0&~op(e4,e1)=e1)&~op(e4,e1)=e2)&~op(e4,e1)=e3)&~op(e4,e1)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f558,f568])).
% 0.13/0.49 fof(f570,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f569])).
% 0.13/0.49 fof(f574,plain,(
% 0.13/0.49 ~sP52_prd|sP53_prd|~op(e4,e1)=e3),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f570])).
% 0.13/0.49 fof(f578,definition,(
% 0.13/0.49 sP54_prd<=>((((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP54_prd])],[])).
% 0.13/0.49 fof(f579,plain,(
% 0.13/0.49 sP53_prd<=>(sP54_prd|((((~op(e4,e0)=e0&~op(e4,e0)=e1)&~op(e4,e0)=e2)&~op(e4,e0)=e3)&~op(e4,e0)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f568,f578])).
% 0.13/0.49 fof(f580,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f579])).
% 0.13/0.49 fof(f583,plain,(
% 0.13/0.49 ~sP53_prd|sP54_prd|~op(e4,e0)=e2),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f580])).
% 0.13/0.49 fof(f588,definition,(
% 0.13/0.49 sP55_prd<=>(((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP55_prd])],[])).
% 0.13/0.49 fof(f589,plain,(
% 0.13/0.49 sP54_prd<=>(sP55_prd|((((~op(e3,e4)=e0&~op(e3,e4)=e1)&~op(e3,e4)=e2)&~op(e3,e4)=e3)&~op(e3,e4)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f578,f588])).
% 0.13/0.49 fof(f590,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f589])).
% 0.13/0.49 fof(f592,plain,(
% 0.13/0.49 ~sP54_prd|sP55_prd|~op(e3,e4)=e1),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f590])).
% 0.13/0.49 fof(f598,definition,(
% 0.13/0.49 sP56_prd<=>((((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP56_prd])],[])).
% 0.13/0.49 fof(f599,plain,(
% 0.13/0.49 sP55_prd<=>(sP56_prd|((((~op(e3,e3)=e0&~op(e3,e3)=e1)&~op(e3,e3)=e2)&~op(e3,e3)=e3)&~op(e3,e3)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f588,f598])).
% 0.13/0.49 fof(f600,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f599])).
% 0.13/0.49 fof(f603,plain,(
% 0.13/0.49 ~sP55_prd|sP56_prd|~op(e3,e3)=e2),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f600])).
% 0.13/0.49 fof(f608,definition,(
% 0.13/0.49 sP57_prd<=>(((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP57_prd])],[])).
% 0.13/0.49 fof(f609,plain,(
% 0.13/0.49 sP56_prd<=>(sP57_prd|((((~op(e3,e2)=e0&~op(e3,e2)=e1)&~op(e3,e2)=e2)&~op(e3,e2)=e3)&~op(e3,e2)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f598,f608])).
% 0.13/0.49 fof(f610,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f609])).
% 0.13/0.49 fof(f615,plain,(
% 0.13/0.49 ~sP56_prd|sP57_prd|~op(e3,e2)=e4),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f610])).
% 0.13/0.49 fof(f618,definition,(
% 0.13/0.49 sP58_prd<=>((((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP58_prd])],[])).
% 0.13/0.49 fof(f619,plain,(
% 0.13/0.49 sP57_prd<=>(sP58_prd|((((~op(e3,e1)=e0&~op(e3,e1)=e1)&~op(e3,e1)=e2)&~op(e3,e1)=e3)&~op(e3,e1)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f608,f618])).
% 0.13/0.49 fof(f620,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f619])).
% 0.13/0.49 fof(f621,plain,(
% 0.13/0.49 ~sP57_prd|sP58_prd|~op(e3,e1)=e0),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f620])).
% 0.13/0.49 fof(f628,definition,(
% 0.13/0.49 sP59_prd<=>(((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP59_prd])],[])).
% 0.13/0.49 fof(f629,plain,(
% 0.13/0.49 sP58_prd<=>(sP59_prd|((((~op(e3,e0)=e0&~op(e3,e0)=e1)&~op(e3,e0)=e2)&~op(e3,e0)=e3)&~op(e3,e0)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f618,f628])).
% 0.13/0.49 fof(f630,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f629])).
% 0.13/0.49 fof(f634,plain,(
% 0.13/0.49 ~sP58_prd|sP59_prd|~op(e3,e0)=e3),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f630])).
% 0.13/0.49 fof(f638,definition,(
% 0.13/0.49 sP60_prd<=>((((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP60_prd])],[])).
% 0.13/0.49 fof(f639,plain,(
% 0.13/0.49 sP59_prd<=>(sP60_prd|((((~op(e2,e4)=e0&~op(e2,e4)=e1)&~op(e2,e4)=e2)&~op(e2,e4)=e3)&~op(e2,e4)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f628,f638])).
% 0.13/0.49 fof(f640,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f639])).
% 0.13/0.49 fof(f643,plain,(
% 0.13/0.49 ~sP59_prd|sP60_prd|~op(e2,e4)=e2),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f640])).
% 0.13/0.49 fof(f648,definition,(
% 0.13/0.49 sP61_prd<=>(((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP61_prd])],[])).
% 0.13/0.49 fof(f649,plain,(
% 0.13/0.49 sP60_prd<=>(sP61_prd|((((~op(e2,e3)=e0&~op(e2,e3)=e1)&~op(e2,e3)=e2)&~op(e2,e3)=e3)&~op(e2,e3)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f638,f648])).
% 0.13/0.49 fof(f650,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f649])).
% 0.13/0.49 fof(f651,plain,(
% 0.13/0.49 ~sP60_prd|sP61_prd|~op(e2,e3)=e0),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f650])).
% 0.13/0.49 fof(f658,definition,(
% 0.13/0.49 sP62_prd<=>((((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP62_prd])],[])).
% 0.13/0.49 fof(f659,plain,(
% 0.13/0.49 sP61_prd<=>(sP62_prd|((((~op(e2,e2)=e0&~op(e2,e2)=e1)&~op(e2,e2)=e2)&~op(e2,e2)=e3)&~op(e2,e2)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f648,f658])).
% 0.13/0.49 fof(f660,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f659])).
% 0.13/0.49 fof(f664,plain,(
% 0.13/0.49 ~sP61_prd|sP62_prd|~op(e2,e2)=e3),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f660])).
% 0.13/0.49 fof(f668,definition,(
% 0.13/0.49 sP63_prd<=>(((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP63_prd])],[])).
% 0.13/0.49 fof(f669,plain,(
% 0.13/0.49 sP62_prd<=>(sP63_prd|((((~op(e2,e1)=e0&~op(e2,e1)=e1)&~op(e2,e1)=e2)&~op(e2,e1)=e3)&~op(e2,e1)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f658,f668])).
% 0.13/0.49 fof(f670,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f669])).
% 0.13/0.49 fof(f675,plain,(
% 0.13/0.49 ~sP62_prd|sP63_prd|~op(e2,e1)=e4),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f670])).
% 0.13/0.49 fof(f678,definition,(
% 0.13/0.49 sP64_prd<=>((((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP64_prd])],[])).
% 0.13/0.49 fof(f679,plain,(
% 0.13/0.49 sP63_prd<=>(sP64_prd|((((~op(e2,e0)=e0&~op(e2,e0)=e1)&~op(e2,e0)=e2)&~op(e2,e0)=e3)&~op(e2,e0)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f668,f678])).
% 0.13/0.49 fof(f680,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f679])).
% 0.13/0.49 fof(f682,plain,(
% 0.13/0.49 ~sP63_prd|sP64_prd|~op(e2,e0)=e1),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f680])).
% 0.13/0.49 fof(f688,definition,(
% 0.13/0.49 sP65_prd<=>(((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP65_prd])],[])).
% 0.13/0.49 fof(f689,plain,(
% 0.13/0.49 sP64_prd<=>(sP65_prd|((((~op(e1,e4)=e0&~op(e1,e4)=e1)&~op(e1,e4)=e2)&~op(e1,e4)=e3)&~op(e1,e4)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f678,f688])).
% 0.13/0.49 fof(f690,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f689])).
% 0.13/0.49 fof(f695,plain,(
% 0.13/0.49 ~sP64_prd|sP65_prd|~op(e1,e4)=e4),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f690])).
% 0.13/0.49 fof(f698,definition,(
% 0.13/0.49 sP66_prd<=>((((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.49 introduced(definition,[new_symbols(definition,[sP66_prd])],[])).
% 0.13/0.49 fof(f699,plain,(
% 0.13/0.49 sP65_prd<=>(sP66_prd|((((~op(e1,e3)=e0&~op(e1,e3)=e1)&~op(e1,e3)=e2)&~op(e1,e3)=e3)&~op(e1,e3)=e4))),
% 0.13/0.49 inference(formula_renaming,[status(thm)],[f688,f698])).
% 0.13/0.49 fof(f700,plain,(
% 0.13/0.49 (~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)))),
% 0.13/0.49 inference(NNF_transformation,[status(thm)],[f699])).
% 0.13/0.49 fof(f704,plain,(
% 0.13/0.49 ~sP65_prd|sP66_prd|~op(e1,e3)=e3),
% 0.13/0.49 inference(cnf_transformation,[status(thm)],[f700])).
% 0.13/0.49 fof(f708,definition,(
% 0.13/0.49 sP67_prd<=>(((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.50 introduced(definition,[new_symbols(definition,[sP67_prd])],[])).
% 0.13/0.50 fof(f709,plain,(
% 0.13/0.50 sP66_prd<=>(sP67_prd|((((~op(e1,e2)=e0&~op(e1,e2)=e1)&~op(e1,e2)=e2)&~op(e1,e2)=e3)&~op(e1,e2)=e4))),
% 0.13/0.50 inference(formula_renaming,[status(thm)],[f698,f708])).
% 0.13/0.50 fof(f710,plain,(
% 0.13/0.50 (~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)))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f709])).
% 0.13/0.50 fof(f713,plain,(
% 0.13/0.50 ~sP66_prd|sP67_prd|~op(e1,e2)=e2),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f710])).
% 0.13/0.50 fof(f718,definition,(
% 0.13/0.50 sP68_prd<=>((((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.50 introduced(definition,[new_symbols(definition,[sP68_prd])],[])).
% 0.13/0.50 fof(f719,plain,(
% 0.13/0.50 sP67_prd<=>(sP68_prd|((((~op(e1,e1)=e0&~op(e1,e1)=e1)&~op(e1,e1)=e2)&~op(e1,e1)=e3)&~op(e1,e1)=e4))),
% 0.13/0.50 inference(formula_renaming,[status(thm)],[f708,f718])).
% 0.13/0.50 fof(f720,plain,(
% 0.13/0.50 (~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)))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f719])).
% 0.13/0.50 fof(f722,plain,(
% 0.13/0.50 ~sP67_prd|sP68_prd|~op(e1,e1)=e1),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f720])).
% 0.13/0.50 fof(f728,definition,(
% 0.13/0.50 sP69_prd<=>(((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.50 introduced(definition,[new_symbols(definition,[sP69_prd])],[])).
% 0.13/0.50 fof(f729,plain,(
% 0.13/0.50 sP68_prd<=>(sP69_prd|((((~op(e1,e0)=e0&~op(e1,e0)=e1)&~op(e1,e0)=e2)&~op(e1,e0)=e3)&~op(e1,e0)=e4))),
% 0.13/0.50 inference(formula_renaming,[status(thm)],[f718,f728])).
% 0.13/0.50 fof(f730,plain,(
% 0.13/0.50 (~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)))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f729])).
% 0.13/0.50 fof(f731,plain,(
% 0.13/0.50 ~sP68_prd|sP69_prd|~op(e1,e0)=e0),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f730])).
% 0.13/0.50 fof(f738,definition,(
% 0.13/0.50 sP70_prd<=>((((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.50 introduced(definition,[new_symbols(definition,[sP70_prd])],[])).
% 0.13/0.50 fof(f739,plain,(
% 0.13/0.50 sP69_prd<=>(sP70_prd|((((~op(e0,e4)=e0&~op(e0,e4)=e1)&~op(e0,e4)=e2)&~op(e0,e4)=e3)&~op(e0,e4)=e4))),
% 0.13/0.50 inference(formula_renaming,[status(thm)],[f728,f738])).
% 0.13/0.50 fof(f740,plain,(
% 0.13/0.50 (~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)))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f739])).
% 0.13/0.50 fof(f744,plain,(
% 0.13/0.50 ~sP69_prd|sP70_prd|~op(e0,e4)=e3),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f740])).
% 0.13/0.50 fof(f748,definition,(
% 0.13/0.50 sP71_prd<=>(((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.50 introduced(definition,[new_symbols(definition,[sP71_prd])],[])).
% 0.13/0.50 fof(f749,plain,(
% 0.13/0.50 sP70_prd<=>(sP71_prd|((((~op(e0,e3)=e0&~op(e0,e3)=e1)&~op(e0,e3)=e2)&~op(e0,e3)=e3)&~op(e0,e3)=e4))),
% 0.13/0.50 inference(formula_renaming,[status(thm)],[f738,f748])).
% 0.13/0.50 fof(f750,plain,(
% 0.13/0.50 (~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)))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f749])).
% 0.13/0.50 fof(f752,plain,(
% 0.13/0.50 ~sP70_prd|sP71_prd|~op(e0,e3)=e1),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f750])).
% 0.13/0.50 fof(f758,definition,(
% 0.13/0.50 sP72_prd<=>((((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.50 introduced(definition,[new_symbols(definition,[sP72_prd])],[])).
% 0.13/0.50 fof(f759,plain,(
% 0.13/0.50 sP71_prd<=>(sP72_prd|((((~op(e0,e2)=e0&~op(e0,e2)=e1)&~op(e0,e2)=e2)&~op(e0,e2)=e3)&~op(e0,e2)=e4))),
% 0.13/0.50 inference(formula_renaming,[status(thm)],[f748,f758])).
% 0.13/0.50 fof(f760,plain,(
% 0.13/0.50 (~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)))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f759])).
% 0.13/0.50 fof(f761,plain,(
% 0.13/0.50 ~sP71_prd|sP72_prd|~op(e0,e2)=e0),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f760])).
% 0.13/0.50 fof(f768,definition,(
% 0.13/0.50 sP73_prd<=>(((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=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))),
% 0.13/0.50 introduced(definition,[new_symbols(definition,[sP73_prd])],[])).
% 0.13/0.50 fof(f769,plain,(
% 0.13/0.50 sP72_prd<=>(sP73_prd|((((~op(e0,e1)=e0&~op(e0,e1)=e1)&~op(e0,e1)=e2)&~op(e0,e1)=e3)&~op(e0,e1)=e4))),
% 0.13/0.50 inference(formula_renaming,[status(thm)],[f758,f768])).
% 0.13/0.50 fof(f770,plain,(
% 0.13/0.50 (~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)))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f769])).
% 0.13/0.50 fof(f773,plain,(
% 0.13/0.50 ~sP72_prd|sP73_prd|~op(e0,e1)=e2),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f770])).
% 0.13/0.50 fof(f778,definition,(
% 0.13/0.50 sP74_prd<=>((((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=e3)|op(e4,e4)=e4))),
% 0.13/0.50 introduced(definition,[new_symbols(definition,[sP74_prd])],[])).
% 0.13/0.50 fof(f779,plain,(
% 0.13/0.50 sP73_prd<=>(sP74_prd|((((~op(e0,e0)=e0&~op(e0,e0)=e1)&~op(e0,e0)=e2)&~op(e0,e0)=e3)&~op(e0,e0)=e4))),
% 0.13/0.50 inference(formula_renaming,[status(thm)],[f768,f778])).
% 0.13/0.50 fof(f780,plain,(
% 0.13/0.50 (~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)))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f779])).
% 0.13/0.50 fof(f785,plain,(
% 0.13/0.50 ~sP73_prd|sP74_prd|~op(e0,e0)=e4),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f780])).
% 0.13/0.50 fof(f788,definition,(
% 0.13/0.50 sP75_prd<=>(((((((op(e0,e0)=e0|op(e0,e1)=e1)|op(e0,e2)=e2)|op(e0,e3)=e3)|op(e0,e4)=e4)&((((op(e1,e0)=e0|op(e1,e1)=e1)|op(e1,e2)=e2)|op(e1,e3)=e3)|op(e1,e4)=e4))&((((op(e2,e0)=e0|op(e2,e1)=e1)|op(e2,e2)=e2)|op(e2,e3)=e3)|op(e2,e4)=e4))&((((op(e3,e0)=e0|op(e3,e1)=e1)|op(e3,e2)=e2)|op(e3,e3)=e3)|op(e3,e4)=e4))),
% 0.13/0.50 introduced(definition,[new_symbols(definition,[sP75_prd])],[])).
% 0.13/0.50 fof(f789,plain,(
% 0.13/0.50 sP74_prd<=>(sP75_prd&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=e3)|op(e4,e4)=e4))),
% 0.13/0.50 inference(formula_renaming,[status(thm)],[f778,f788])).
% 0.13/0.50 fof(f790,plain,(
% 0.13/0.50 (~sP74_prd|(sP75_prd&((((op(e4,e0)=e0|op(e4,e1)=e1)|op(e4,e2)=e2)|op(e4,e3)=e3)|op(e4,e4)=e4)))&(sP74_prd|(~sP75_prd|((((~op(e4,e0)=e0&~op(e4,e1)=e1)&~op(e4,e2)=e2)&~op(e4,e3)=e3)&~op(e4,e4)=e4)))),
% 0.13/0.50 inference(NNF_transformation,[status(thm)],[f789])).
% 0.13/0.50 fof(f792,plain,(
% 0.13/0.50 ~sP74_prd|op(e4,e0)=e0|op(e4,e1)=e1|op(e4,e2)=e2|op(e4,e3)=e3|op(e4,e4)=e4),
% 0.13/0.50 inference(cnf_transformation,[status(thm)],[f790])).
% 0.13/0.50 fof(f913,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f24,f44])).
% 0.13/0.50 fof(f914,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~op(e4,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f15,f913])).
% 0.13/0.50 fof(f915,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~op(e4,e4)=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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f15,f914])).
% 0.13/0.50 fof(f916,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f39,f915])).
% 0.13/0.50 fof(f917,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f20,f916])).
% 0.13/0.50 fof(f918,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f16,f917])).
% 0.13/0.50 fof(f919,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f17,f918])).
% 0.13/0.50 fof(f920,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f25,f919])).
% 0.13/0.50 fof(f921,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f17,f920])).
% 0.13/0.50 fof(f922,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f20,f921])).
% 0.13/0.50 fof(f923,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~op(e3,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f30,f922])).
% 0.13/0.50 fof(f924,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~op(e3,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f18,f923])).
% 0.13/0.50 fof(f925,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f31,f924])).
% 0.13/0.50 fof(f926,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f35,f925])).
% 0.13/0.50 fof(f927,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~op(e2,e3)=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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f19,f926])).
% 0.13/0.50 fof(f928,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f28,f927])).
% 0.13/0.50 fof(f929,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f16,f928])).
% 0.13/0.50 fof(f930,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f20,f929])).
% 0.13/0.50 fof(f931,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f25,f930])).
% 0.13/0.50 fof(f932,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~op(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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f21,f931])).
% 0.13/0.50 fof(f933,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f21,f932])).
% 0.13/0.50 fof(f934,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f21,f933])).
% 0.13/0.50 fof(f935,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~op(e4,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f26,f934])).
% 0.13/0.50 fof(f936,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~op(e4,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f22,f935])).
% 0.13/0.50 fof(f937,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f37,f936])).
% 0.13/0.50 fof(f938,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~op(e0,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f31,f937])).
% 0.13/0.50 fof(f939,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~op(e0,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f23,f938])).
% 0.13/0.50 fof(f940,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f18,f939])).
% 0.13/0.50 fof(f941,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~op(e3,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f36,f940])).
% 0.13/0.50 fof(f942,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e0=e0|~e1=e1|~e1=e1|~e1=e1|~e1=e1|~op(e3,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f24,f941])).
% 0.13/0.50 fof(f943,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f34,f942])).
% 0.13/0.50 fof(f944,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f17,f943])).
% 0.13/0.50 fof(f945,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f25,f944])).
% 0.13/0.50 fof(f946,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f16,f945])).
% 0.13/0.50 fof(f947,plain,(
% 0.13/0.50 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(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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f22,f946])).
% 0.13/0.50 fof(f948,plain,(
% 0.13/0.50 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(e2,e4)=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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f26,f947])).
% 0.13/0.50 fof(f949,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f29,f948])).
% 0.13/0.50 fof(f950,plain,(
% 0.13/0.50 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(e3,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f27,f949])).
% 0.13/0.50 fof(f951,plain,(
% 0.13/0.50 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(e3,e3)=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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f27,f950])).
% 0.13/0.50 fof(f952,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f33,f951])).
% 0.13/0.50 fof(f953,plain,(
% 0.13/0.50 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(e4,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f32,f952])).
% 0.13/0.50 fof(f954,plain,(
% 0.13/0.50 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(e4,e0)=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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f28,f953])).
% 0.13/0.50 fof(f955,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f35,f954])).
% 0.13/0.50 fof(f956,plain,(
% 0.13/0.50 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(e1,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f37,f955])).
% 0.13/0.50 fof(f957,plain,(
% 0.13/0.50 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(e1,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f29,f956])).
% 0.13/0.50 fof(f958,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f22,f957])).
% 0.13/0.50 fof(f959,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f18,f958])).
% 0.13/0.50 fof(f960,plain,(
% 0.13/0.50 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,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f30,f959])).
% 0.13/0.50 fof(f961,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f23,f960])).
% 0.13/0.50 fof(f962,plain,(
% 0.13/0.50 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(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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f23,f961])).
% 0.13/0.50 fof(f963,plain,(
% 0.13/0.50 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(e3,e0)=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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f31,f962])).
% 0.13/0.50 fof(f964,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f30,f963])).
% 0.13/0.50 fof(f965,plain,(
% 0.13/0.50 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(e0,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f28,f964])).
% 0.13/0.50 fof(f966,plain,(
% 0.13/0.50 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(e0,e4)=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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f32,f965])).
% 0.13/0.50 fof(f967,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f19,f966])).
% 0.13/0.50 fof(f968,plain,(
% 0.13/0.50 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(e2,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f33,f967])).
% 0.13/0.50 fof(f969,plain,(
% 0.13/0.50 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(e2,e2)=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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f33,f968])).
% 0.13/0.50 fof(f970,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f27,f969])).
% 0.13/0.50 fof(f971,plain,(
% 0.13/0.50 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(e4,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f38,f970])).
% 0.13/0.50 fof(f972,plain,(
% 0.13/0.50 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(e4,e1)=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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f34,f971])).
% 0.13/0.50 fof(f973,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f36,f972])).
% 0.13/0.50 fof(f974,plain,(
% 0.13/0.50 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(e3,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f19,f973])).
% 0.13/0.50 fof(f975,plain,(
% 0.13/0.50 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(e3,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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f35,f974])).
% 0.13/0.50 fof(f976,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f32,f975])).
% 0.13/0.50 fof(f977,plain,(
% 0.13/0.50 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(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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f24,f976])).
% 0.13/0.50 fof(f978,plain,(
% 0.13/0.50 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(e4,e3)=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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f36,f977])).
% 0.13/0.50 fof(f979,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f38,f978])).
% 0.13/0.50 fof(f980,plain,(
% 0.13/0.50 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(e2,op(e4,e2))=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f29,f979])).
% 0.13/0.50 fof(f981,plain,(
% 0.13/0.50 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(e2,e1)=e4|~op(op(e3,e4),op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f37,f980])).
% 0.13/0.50 fof(f982,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f26,f981])).
% 0.13/0.50 fof(f983,plain,(
% 0.13/0.50 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(e1,op(e4,e3))=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f34,f982])).
% 0.13/0.50 fof(f984,plain,(
% 0.13/0.50 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(e1,e4)=e4|~op(op(e4,e4),op(e4,e4))=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f38,f983])).
% 0.13/0.50 fof(f985,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f24,f984])).
% 0.13/0.50 fof(f986,plain,(
% 0.13/0.50 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(e0,op(e4,e4))=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f39,f985])).
% 0.13/0.50 fof(f987,plain,(
% 0.13/0.50 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(e0,e0)=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f39,f986])).
% 0.13/0.50 fof(f988,plain,(
% 0.13/0.50 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),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f15,f987])).
% 0.13/0.50 fof(f989,plain,(
% 0.13/0.50 sP0_prd|~e4=e4|~e0=e0|~e1=e1|~e2=e2|~e3=e3),
% 0.13/0.50 inference(duplicate_literals_removal,[status(thm)],[f988])).
% 0.13/0.50 fof(f990,plain,(
% 0.13/0.50 sP0_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f989])).
% 0.13/0.50 fof(f1228,plain,(
% 0.13/0.50 ~sP0_prd|sP1_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f38,f54])).
% 0.13/0.50 fof(f1229,plain,(
% 0.13/0.50 ~sP0_prd|sP1_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1228])).
% 0.13/0.50 fof(f1230,plain,(
% 0.13/0.50 sP1_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1229,f990])).
% 0.13/0.50 fof(f1235,plain,(
% 0.13/0.50 ~sP1_prd|sP2_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f19,f61])).
% 0.13/0.50 fof(f1236,plain,(
% 0.13/0.50 ~sP1_prd|sP2_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1235])).
% 0.13/0.50 fof(f1237,plain,(
% 0.13/0.50 sP2_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1236,f1230])).
% 0.13/0.50 fof(f1243,plain,(
% 0.13/0.50 ~sP2_prd|sP3_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f36,f72])).
% 0.13/0.50 fof(f1244,plain,(
% 0.13/0.50 ~sP2_prd|sP3_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1243])).
% 0.13/0.50 fof(f1245,plain,(
% 0.13/0.50 sP3_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1244,f1237])).
% 0.13/0.50 fof(f1252,plain,(
% 0.13/0.50 ~sP3_prd|sP4_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f29,f83])).
% 0.13/0.50 fof(f1253,plain,(
% 0.13/0.50 ~sP3_prd|sP4_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1252])).
% 0.13/0.50 fof(f1254,plain,(
% 0.13/0.50 sP4_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1253,f1245])).
% 0.13/0.50 fof(f1259,plain,(
% 0.13/0.50 ~sP4_prd|sP5_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f35,f91])).
% 0.13/0.50 fof(f1260,plain,(
% 0.13/0.50 ~sP4_prd|sP5_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1259])).
% 0.13/0.50 fof(f1261,plain,(
% 0.13/0.50 sP5_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1260,f1254])).
% 0.13/0.50 fof(f1269,plain,(
% 0.13/0.50 ~sP5_prd|sP6_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f34,f104])).
% 0.13/0.50 fof(f1270,plain,(
% 0.13/0.50 ~sP5_prd|sP6_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1269])).
% 0.13/0.50 fof(f1271,plain,(
% 0.13/0.50 sP6_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1270,f1261])).
% 0.13/0.50 fof(f1278,plain,(
% 0.13/0.50 ~sP6_prd|sP7_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f37,f113])).
% 0.13/0.50 fof(f1279,plain,(
% 0.13/0.50 ~sP6_prd|sP7_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1278])).
% 0.13/0.50 fof(f1280,plain,(
% 0.13/0.50 sP7_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1279,f1271])).
% 0.13/0.50 fof(f1289,plain,(
% 0.13/0.50 ~sP7_prd|sP8_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f39,f125])).
% 0.13/0.50 fof(f1290,plain,(
% 0.13/0.50 ~sP7_prd|sP8_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1289])).
% 0.13/0.50 fof(f1291,plain,(
% 0.13/0.50 sP8_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1290,f1280])).
% 0.13/0.50 fof(f1300,plain,(
% 0.13/0.50 ~sP8_prd|sP9_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f39,f135])).
% 0.13/0.50 fof(f1301,plain,(
% 0.13/0.50 ~sP8_prd|sP9_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1300])).
% 0.13/0.50 fof(f1302,plain,(
% 0.13/0.50 sP9_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1301,f1291])).
% 0.13/0.50 fof(f1311,plain,(
% 0.13/0.50 ~sP9_prd|sP10_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f38,f145])).
% 0.13/0.50 fof(f1312,plain,(
% 0.13/0.50 ~sP9_prd|sP10_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1311])).
% 0.13/0.50 fof(f1313,plain,(
% 0.13/0.50 sP10_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1312,f1302])).
% 0.13/0.50 fof(f1320,plain,(
% 0.13/0.50 ~sP10_prd|sP11_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f32,f153])).
% 0.13/0.50 fof(f1321,plain,(
% 0.13/0.50 ~sP10_prd|sP11_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1320])).
% 0.13/0.50 fof(f1322,plain,(
% 0.13/0.50 sP11_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1321,f1313])).
% 0.13/0.50 fof(f1328,plain,(
% 0.13/0.50 ~sP11_prd|sP12_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f23,f162])).
% 0.13/0.50 fof(f1329,plain,(
% 0.13/0.50 ~sP11_prd|sP12_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1328])).
% 0.13/0.50 fof(f1330,plain,(
% 0.13/0.50 sP12_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1329,f1322])).
% 0.13/0.50 fof(f1335,plain,(
% 0.13/0.50 ~sP12_prd|sP13_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f30,f171])).
% 0.13/0.50 fof(f1336,plain,(
% 0.13/0.50 ~sP12_prd|sP13_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1335])).
% 0.13/0.50 fof(f1337,plain,(
% 0.13/0.50 sP13_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1336,f1330])).
% 0.13/0.50 fof(f1345,plain,(
% 0.13/0.50 ~sP13_prd|sP14_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f33,f184])).
% 0.13/0.50 fof(f1346,plain,(
% 0.13/0.50 ~sP13_prd|sP14_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1345])).
% 0.13/0.50 fof(f1347,plain,(
% 0.13/0.50 sP14_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1346,f1337])).
% 0.13/0.50 fof(f1355,plain,(
% 0.13/0.50 ~sP14_prd|sP15_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f33,f194])).
% 0.13/0.50 fof(f1356,plain,(
% 0.13/0.50 ~sP14_prd|sP15_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1355])).
% 0.13/0.50 fof(f1357,plain,(
% 0.13/0.50 sP15_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1356,f1347])).
% 0.13/0.50 fof(f1362,plain,(
% 0.13/0.50 ~sP15_prd|sP16_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f18,f201])).
% 0.13/0.50 fof(f1363,plain,(
% 0.13/0.50 ~sP15_prd|sP16_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1362])).
% 0.13/0.50 fof(f1364,plain,(
% 0.13/0.50 sP16_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1363,f1357])).
% 0.13/0.50 fof(f1373,plain,(
% 0.13/0.50 ~sP16_prd|sP17_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f34,f215])).
% 0.13/0.50 fof(f1374,plain,(
% 0.13/0.50 ~sP16_prd|sP17_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1373])).
% 0.13/0.50 fof(f1375,plain,(
% 0.13/0.50 sP17_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1374,f1364])).
% 0.13/0.50 fof(f1382,plain,(
% 0.13/0.50 ~sP17_prd|sP18_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f28,f223])).
% 0.13/0.50 fof(f1383,plain,(
% 0.13/0.50 ~sP17_prd|sP18_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1382])).
% 0.13/0.50 fof(f1384,plain,(
% 0.13/0.50 sP18_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1383,f1375])).
% 0.13/0.50 fof(f1390,plain,(
% 0.13/0.50 ~sP18_prd|sP19_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f31,f232])).
% 0.13/0.50 fof(f1391,plain,(
% 0.13/0.50 ~sP18_prd|sP19_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1390])).
% 0.13/0.50 fof(f1392,plain,(
% 0.13/0.50 sP19_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1391,f1384])).
% 0.13/0.50 fof(f1400,plain,(
% 0.13/0.50 ~sP19_prd|sP20_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f32,f244])).
% 0.13/0.50 fof(f1401,plain,(
% 0.13/0.50 ~sP19_prd|sP20_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1400])).
% 0.13/0.50 fof(f1402,plain,(
% 0.13/0.50 sP20_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1401,f1392])).
% 0.13/0.50 fof(f1408,plain,(
% 0.13/0.50 ~sP20_prd|sP21_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f26,f252])).
% 0.13/0.50 fof(f1409,plain,(
% 0.13/0.50 ~sP20_prd|sP21_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1408])).
% 0.13/0.50 fof(f1410,plain,(
% 0.13/0.50 sP21_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1409,f1402])).
% 0.13/0.50 fof(f1417,plain,(
% 0.13/0.50 ~sP21_prd|sP22_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f27,f263])).
% 0.13/0.50 fof(f1418,plain,(
% 0.13/0.50 ~sP21_prd|sP22_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1417])).
% 0.13/0.50 fof(f1419,plain,(
% 0.13/0.50 sP22_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1418,f1410])).
% 0.13/0.50 fof(f1426,plain,(
% 0.13/0.50 ~sP22_prd|sP23_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f27,f273])).
% 0.13/0.50 fof(f1427,plain,(
% 0.13/0.50 ~sP22_prd|sP23_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1426])).
% 0.13/0.50 fof(f1428,plain,(
% 0.13/0.50 sP23_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1427,f1419])).
% 0.13/0.50 fof(f1434,plain,(
% 0.13/0.50 ~sP23_prd|sP24_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f22,f282])).
% 0.13/0.50 fof(f1435,plain,(
% 0.13/0.50 ~sP23_prd|sP24_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1434])).
% 0.13/0.50 fof(f1436,plain,(
% 0.13/0.50 sP24_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1435,f1428])).
% 0.13/0.50 fof(f1445,plain,(
% 0.13/0.50 ~sP24_prd|sP25_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f29,f295])).
% 0.13/0.50 fof(f1446,plain,(
% 0.13/0.50 ~sP24_prd|sP25_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1445])).
% 0.13/0.50 fof(f1447,plain,(
% 0.13/0.50 sP25_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1446,f1436])).
% 0.13/0.50 fof(f1456,plain,(
% 0.13/0.50 ~sP25_prd|sP26_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f37,f305])).
% 0.13/0.50 fof(f1457,plain,(
% 0.13/0.50 ~sP25_prd|sP26_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1456])).
% 0.13/0.50 fof(f1458,plain,(
% 0.13/0.50 sP26_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1457,f1447])).
% 0.13/0.50 fof(f1463,plain,(
% 0.13/0.50 ~sP26_prd|sP27_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f25,f311])).
% 0.13/0.50 fof(f1464,plain,(
% 0.13/0.50 ~sP26_prd|sP27_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1463])).
% 0.13/0.50 fof(f1465,plain,(
% 0.13/0.50 sP27_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1464,f1458])).
% 0.13/0.50 fof(f1470,plain,(
% 0.13/0.50 ~sP27_prd|sP28_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f17,f321])).
% 0.13/0.50 fof(f1471,plain,(
% 0.13/0.50 ~sP27_prd|sP28_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1470])).
% 0.13/0.50 fof(f1472,plain,(
% 0.13/0.50 sP28_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1471,f1465])).
% 0.13/0.50 fof(f1480,plain,(
% 0.13/0.50 ~sP28_prd|sP29_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f28,f334])).
% 0.13/0.50 fof(f1481,plain,(
% 0.13/0.50 ~sP28_prd|sP29_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1480])).
% 0.13/0.50 fof(f1482,plain,(
% 0.13/0.50 sP29_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1481,f1472])).
% 0.13/0.50 fof(f1489,plain,(
% 0.13/0.50 ~sP29_prd|sP30_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f26,f343])).
% 0.13/0.50 fof(f1490,plain,(
% 0.13/0.50 ~sP29_prd|sP30_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1489])).
% 0.13/0.50 fof(f1491,plain,(
% 0.13/0.50 sP30_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1490,f1482])).
% 0.13/0.50 fof(f1500,plain,(
% 0.13/0.50 ~sP30_prd|sP31_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f24,f355])).
% 0.13/0.50 fof(f1501,plain,(
% 0.13/0.50 ~sP30_prd|sP31_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1500])).
% 0.13/0.50 fof(f1502,plain,(
% 0.13/0.50 sP31_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1501,f1491])).
% 0.13/0.50 fof(f1511,plain,(
% 0.13/0.50 ~sP31_prd|sP32_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f36,f365])).
% 0.13/0.50 fof(f1512,plain,(
% 0.13/0.50 ~sP31_prd|sP32_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1511])).
% 0.13/0.50 fof(f1513,plain,(
% 0.13/0.50 sP32_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1512,f1502])).
% 0.13/0.50 fof(f1521,plain,(
% 0.13/0.50 ~sP32_prd|sP33_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f23,f374])).
% 0.13/0.50 fof(f1522,plain,(
% 0.13/0.50 ~sP32_prd|sP33_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1521])).
% 0.13/0.50 fof(f1523,plain,(
% 0.13/0.50 sP33_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1522,f1513])).
% 0.13/0.50 fof(f1528,plain,(
% 0.13/0.50 ~sP33_prd|sP34_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f16,f381])).
% 0.13/0.50 fof(f1529,plain,(
% 0.13/0.50 ~sP33_prd|sP34_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1528])).
% 0.13/0.50 fof(f1530,plain,(
% 0.13/0.50 sP34_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1529,f1523])).
% 0.13/0.50 fof(f1537,plain,(
% 0.13/0.50 ~sP34_prd|sP35_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f22,f393])).
% 0.13/0.50 fof(f1538,plain,(
% 0.13/0.50 ~sP34_prd|sP35_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1537])).
% 0.13/0.50 fof(f1539,plain,(
% 0.13/0.50 sP35_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1538,f1530])).
% 0.13/0.50 fof(f1545,plain,(
% 0.13/0.50 ~sP35_prd|sP36_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f21,f402])).
% 0.13/0.50 fof(f1546,plain,(
% 0.13/0.50 ~sP35_prd|sP36_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1545])).
% 0.13/0.50 fof(f1547,plain,(
% 0.13/0.50 sP36_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1546,f1539])).
% 0.13/0.50 fof(f1553,plain,(
% 0.13/0.50 ~sP36_prd|sP37_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f21,f412])).
% 0.13/0.50 fof(f1554,plain,(
% 0.13/0.50 ~sP36_prd|sP37_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1553])).
% 0.13/0.50 fof(f1555,plain,(
% 0.13/0.50 sP37_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1554,f1547])).
% 0.13/0.50 fof(f1563,plain,(
% 0.13/0.50 ~sP37_prd|sP38_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f31,f424])).
% 0.13/0.50 fof(f1564,plain,(
% 0.13/0.50 ~sP37_prd|sP38_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1563])).
% 0.13/0.50 fof(f1565,plain,(
% 0.13/0.50 sP38_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1564,f1555])).
% 0.13/0.50 fof(f1570,plain,(
% 0.13/0.50 ~sP38_prd|sP39_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f20,f431])).
% 0.13/0.50 fof(f1571,plain,(
% 0.13/0.50 ~sP38_prd|sP39_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1570])).
% 0.13/0.50 fof(f1572,plain,(
% 0.13/0.50 sP39_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1571,f1565])).
% 0.13/0.50 fof(f1577,plain,(
% 0.13/0.50 ~sP39_prd|sP40_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f15,f441])).
% 0.13/0.50 fof(f1578,plain,(
% 0.13/0.50 ~sP39_prd|sP40_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1577])).
% 0.13/0.50 fof(f1579,plain,(
% 0.13/0.50 sP40_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1578,f1572])).
% 0.13/0.50 fof(f1584,plain,(
% 0.13/0.50 ~sP40_prd|sP41_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f15,f451])).
% 0.13/0.50 fof(f1585,plain,(
% 0.13/0.50 ~sP40_prd|sP41_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1584])).
% 0.13/0.50 fof(f1586,plain,(
% 0.13/0.50 sP41_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1585,f1579])).
% 0.13/0.50 fof(f1594,plain,(
% 0.13/0.50 ~sP41_prd|sP42_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f30,f464])).
% 0.13/0.50 fof(f1595,plain,(
% 0.13/0.50 ~sP41_prd|sP42_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1594])).
% 0.13/0.50 fof(f1596,plain,(
% 0.13/0.50 sP42_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1595,f1586])).
% 0.13/0.50 fof(f1605,plain,(
% 0.13/0.50 ~sP42_prd|sP43_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f19,f475])).
% 0.13/0.50 fof(f1606,plain,(
% 0.13/0.50 ~sP42_prd|sP43_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1605])).
% 0.13/0.50 fof(f1607,plain,(
% 0.13/0.50 sP43_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1606,f1596])).
% 0.13/0.50 fof(f1616,plain,(
% 0.13/0.50 ~sP43_prd|sP44_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f35,f485])).
% 0.13/0.50 fof(f1617,plain,(
% 0.13/0.50 ~sP43_prd|sP44_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1616])).
% 0.13/0.50 fof(f1618,plain,(
% 0.13/0.50 sP44_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1617,f1607])).
% 0.13/0.50 fof(f1624,plain,(
% 0.13/0.50 ~sP44_prd|sP45_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f16,f492])).
% 0.13/0.50 fof(f1625,plain,(
% 0.13/0.50 ~sP44_prd|sP45_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1624])).
% 0.13/0.50 fof(f1626,plain,(
% 0.13/0.50 sP45_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1625,f1618])).
% 0.13/0.50 fof(f1633,plain,(
% 0.13/0.50 ~sP45_prd|sP46_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f25,f503])).
% 0.13/0.50 fof(f1634,plain,(
% 0.13/0.50 ~sP45_prd|sP46_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1633])).
% 0.13/0.50 fof(f1635,plain,(
% 0.13/0.50 sP46_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1634,f1626])).
% 0.13/0.50 fof(f1643,plain,(
% 0.13/0.50 ~sP46_prd|sP47_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f18,f514])).
% 0.13/0.50 fof(f1644,plain,(
% 0.13/0.50 ~sP46_prd|sP47_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1643])).
% 0.13/0.50 fof(f1645,plain,(
% 0.13/0.50 sP47_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1644,f1635])).
% 0.13/0.50 fof(f1651,plain,(
% 0.13/0.50 ~sP47_prd|sP48_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f20,f522])).
% 0.13/0.50 fof(f1652,plain,(
% 0.13/0.50 ~sP47_prd|sP48_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1651])).
% 0.13/0.50 fof(f1653,plain,(
% 0.13/0.50 sP48_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1652,f1645])).
% 0.13/0.50 fof(f1660,plain,(
% 0.13/0.50 ~sP48_prd|sP49_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f17,f533])).
% 0.13/0.50 fof(f1661,plain,(
% 0.13/0.50 ~sP48_prd|sP49_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1660])).
% 0.13/0.50 fof(f1662,plain,(
% 0.13/0.50 sP49_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1661,f1653])).
% 0.13/0.50 fof(f1667,plain,(
% 0.13/0.50 ~sP49_prd|sP50_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f39,f541])).
% 0.13/0.50 fof(f1668,plain,(
% 0.13/0.50 ~sP49_prd|sP50_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1667])).
% 0.13/0.50 fof(f1669,plain,(
% 0.13/0.50 sP50_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1668,f1662])).
% 0.13/0.50 fof(f1678,plain,(
% 0.13/0.50 ~sP50_prd|sP51_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f38,f555])).
% 0.13/0.50 fof(f1679,plain,(
% 0.13/0.50 ~sP50_prd|sP51_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1678])).
% 0.13/0.50 fof(f1680,plain,(
% 0.13/0.50 sP51_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1679,f1669])).
% 0.13/0.50 fof(f1686,plain,(
% 0.13/0.50 ~sP51_prd|sP52_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f37,f562])).
% 0.13/0.50 fof(f1687,plain,(
% 0.13/0.50 ~sP51_prd|sP52_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1686])).
% 0.13/0.50 fof(f1688,plain,(
% 0.13/0.50 sP52_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1687,f1680])).
% 0.13/0.50 fof(f1696,plain,(
% 0.13/0.50 ~sP52_prd|sP53_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f36,f574])).
% 0.13/0.50 fof(f1697,plain,(
% 0.13/0.50 ~sP52_prd|sP53_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1696])).
% 0.13/0.50 fof(f1698,plain,(
% 0.13/0.50 sP53_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1697,f1688])).
% 0.13/0.50 fof(f1705,plain,(
% 0.13/0.50 ~sP53_prd|sP54_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f35,f583])).
% 0.13/0.50 fof(f1706,plain,(
% 0.13/0.50 ~sP53_prd|sP54_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1705])).
% 0.13/0.50 fof(f1707,plain,(
% 0.13/0.50 sP54_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1706,f1698])).
% 0.13/0.50 fof(f1713,plain,(
% 0.13/0.50 ~sP54_prd|sP55_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f34,f592])).
% 0.13/0.50 fof(f1714,plain,(
% 0.13/0.50 ~sP54_prd|sP55_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1713])).
% 0.13/0.50 fof(f1715,plain,(
% 0.13/0.50 sP55_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1714,f1707])).
% 0.13/0.50 fof(f1722,plain,(
% 0.13/0.50 ~sP55_prd|sP56_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f33,f603])).
% 0.13/0.50 fof(f1723,plain,(
% 0.13/0.50 ~sP55_prd|sP56_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1722])).
% 0.13/0.50 fof(f1724,plain,(
% 0.13/0.50 sP56_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1723,f1715])).
% 0.13/0.50 fof(f1733,plain,(
% 0.13/0.50 ~sP56_prd|sP57_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f32,f615])).
% 0.13/0.50 fof(f1734,plain,(
% 0.13/0.50 ~sP56_prd|sP57_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1733])).
% 0.13/0.50 fof(f1735,plain,(
% 0.13/0.50 sP57_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1734,f1724])).
% 0.13/0.50 fof(f1740,plain,(
% 0.13/0.50 ~sP57_prd|sP58_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f31,f621])).
% 0.13/0.50 fof(f1741,plain,(
% 0.13/0.50 ~sP57_prd|sP58_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1740])).
% 0.13/0.50 fof(f1742,plain,(
% 0.13/0.50 sP58_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1741,f1735])).
% 0.13/0.50 fof(f1750,plain,(
% 0.13/0.50 ~sP58_prd|sP59_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f30,f634])).
% 0.13/0.50 fof(f1751,plain,(
% 0.13/0.50 ~sP58_prd|sP59_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1750])).
% 0.13/0.50 fof(f1752,plain,(
% 0.13/0.50 sP59_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1751,f1742])).
% 0.13/0.50 fof(f1759,plain,(
% 0.13/0.50 ~sP59_prd|sP60_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f29,f643])).
% 0.13/0.50 fof(f1760,plain,(
% 0.13/0.50 ~sP59_prd|sP60_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1759])).
% 0.13/0.50 fof(f1761,plain,(
% 0.13/0.50 sP60_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1760,f1752])).
% 0.13/0.50 fof(f1766,plain,(
% 0.13/0.50 ~sP60_prd|sP61_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f28,f651])).
% 0.13/0.50 fof(f1767,plain,(
% 0.13/0.50 ~sP60_prd|sP61_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1766])).
% 0.13/0.50 fof(f1768,plain,(
% 0.13/0.50 sP61_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1767,f1761])).
% 0.13/0.50 fof(f1776,plain,(
% 0.13/0.50 ~sP61_prd|sP62_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f27,f664])).
% 0.13/0.50 fof(f1777,plain,(
% 0.13/0.50 ~sP61_prd|sP62_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1776])).
% 0.13/0.50 fof(f1778,plain,(
% 0.13/0.50 sP62_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1777,f1768])).
% 0.13/0.50 fof(f1787,plain,(
% 0.13/0.50 ~sP62_prd|sP63_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f26,f675])).
% 0.13/0.50 fof(f1788,plain,(
% 0.13/0.50 ~sP62_prd|sP63_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1787])).
% 0.13/0.50 fof(f1789,plain,(
% 0.13/0.50 sP63_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1788,f1778])).
% 0.13/0.50 fof(f1795,plain,(
% 0.13/0.50 ~sP63_prd|sP64_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f25,f682])).
% 0.13/0.50 fof(f1796,plain,(
% 0.13/0.50 ~sP63_prd|sP64_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1795])).
% 0.13/0.50 fof(f1797,plain,(
% 0.13/0.50 sP64_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1796,f1789])).
% 0.13/0.50 fof(f1806,plain,(
% 0.13/0.50 ~sP64_prd|sP65_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f24,f695])).
% 0.13/0.50 fof(f1807,plain,(
% 0.13/0.50 ~sP64_prd|sP65_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1806])).
% 0.13/0.50 fof(f1808,plain,(
% 0.13/0.50 sP65_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1807,f1797])).
% 0.13/0.50 fof(f1816,plain,(
% 0.13/0.50 ~sP65_prd|sP66_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f23,f704])).
% 0.13/0.50 fof(f1817,plain,(
% 0.13/0.50 ~sP65_prd|sP66_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1816])).
% 0.13/0.50 fof(f1818,plain,(
% 0.13/0.50 sP66_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1817,f1808])).
% 0.13/0.50 fof(f1825,plain,(
% 0.13/0.50 ~sP66_prd|sP67_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f22,f713])).
% 0.13/0.50 fof(f1826,plain,(
% 0.13/0.50 ~sP66_prd|sP67_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1825])).
% 0.13/0.50 fof(f1827,plain,(
% 0.13/0.50 sP67_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1826,f1818])).
% 0.13/0.50 fof(f1833,plain,(
% 0.13/0.50 ~sP67_prd|sP68_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f21,f722])).
% 0.13/0.50 fof(f1834,plain,(
% 0.13/0.50 ~sP67_prd|sP68_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1833])).
% 0.13/0.50 fof(f1835,plain,(
% 0.13/0.50 sP68_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1834,f1827])).
% 0.13/0.50 fof(f1840,plain,(
% 0.13/0.50 ~sP68_prd|sP69_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f20,f731])).
% 0.13/0.50 fof(f1841,plain,(
% 0.13/0.50 ~sP68_prd|sP69_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1840])).
% 0.13/0.50 fof(f1842,plain,(
% 0.13/0.50 sP69_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1841,f1835])).
% 0.13/0.50 fof(f1850,plain,(
% 0.13/0.50 ~sP69_prd|sP70_prd|~e3=e3),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f19,f744])).
% 0.13/0.50 fof(f1851,plain,(
% 0.13/0.50 ~sP69_prd|sP70_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1850])).
% 0.13/0.50 fof(f1852,plain,(
% 0.13/0.50 sP70_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1851,f1842])).
% 0.13/0.50 fof(f1858,plain,(
% 0.13/0.50 ~sP70_prd|sP71_prd|~e1=e1),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f18,f752])).
% 0.13/0.50 fof(f1859,plain,(
% 0.13/0.50 ~sP70_prd|sP71_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1858])).
% 0.13/0.50 fof(f1860,plain,(
% 0.13/0.50 sP71_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1859,f1852])).
% 0.13/0.50 fof(f1865,plain,(
% 0.13/0.50 ~sP71_prd|sP72_prd|~e0=e0),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f17,f761])).
% 0.13/0.50 fof(f1866,plain,(
% 0.13/0.50 ~sP71_prd|sP72_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1865])).
% 0.13/0.50 fof(f1867,plain,(
% 0.13/0.50 sP72_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1866,f1860])).
% 0.13/0.50 fof(f1874,plain,(
% 0.13/0.50 ~sP72_prd|sP73_prd|~e2=e2),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f16,f773])).
% 0.13/0.50 fof(f1875,plain,(
% 0.13/0.50 ~sP72_prd|sP73_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1874])).
% 0.13/0.50 fof(f1876,plain,(
% 0.13/0.50 sP73_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1875,f1867])).
% 0.13/0.50 fof(f1885,plain,(
% 0.13/0.50 ~sP73_prd|sP74_prd|~e4=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f15,f785])).
% 0.13/0.50 fof(f1886,plain,(
% 0.13/0.50 ~sP73_prd|sP74_prd),
% 0.13/0.50 inference(trivial_equality_resolution,[status(thm)],[f1885])).
% 0.13/0.50 fof(f1887,plain,(
% 0.13/0.50 sP74_prd),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1886,f1876])).
% 0.13/0.50 fof(f1893,plain,(
% 0.13/0.50 ~sP74_prd|e2=e0|op(e4,e1)=e1|op(e4,e2)=e2|op(e4,e3)=e3|op(e4,e4)=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f35,f792])).
% 0.13/0.50 fof(f1894,plain,(
% 0.13/0.50 ~sP74_prd|e2=e0|e3=e1|op(e4,e2)=e2|op(e4,e3)=e3|op(e4,e4)=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f36,f1893])).
% 0.13/0.50 fof(f1895,plain,(
% 0.13/0.50 ~sP74_prd|e2=e0|e3=e1|e1=e2|op(e4,e3)=e3|op(e4,e4)=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f37,f1894])).
% 0.13/0.50 fof(f1896,plain,(
% 0.13/0.50 ~sP74_prd|e2=e0|e3=e1|e1=e2|e4=e3|op(e4,e4)=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f38,f1895])).
% 0.13/0.50 fof(f1897,plain,(
% 0.13/0.50 ~sP74_prd|e2=e0|e3=e1|e1=e2|e4=e3|e0=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f39,f1896])).
% 0.13/0.50 fof(f1898,plain,(
% 0.13/0.50 e2=e0|e3=e1|e1=e2|e4=e3|e0=e4),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1897,f1887])).
% 0.13/0.50 fof(f1948,plain,(
% 0.13/0.50 e2=e0|e3=e1|e1=e2|e0=e4),
% 0.13/0.50 inference(resolution,[status(thm)],[f1898,f14])).
% 0.13/0.50 fof(f1958,plain,(
% 0.13/0.50 e3=e1|e1=e2|e0=e4),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1948,f6])).
% 0.13/0.50 fof(f1986,plain,(
% 0.13/0.50 e3=e1|e1=e2),
% 0.13/0.50 inference(resolution,[status(thm)],[f1958,f8])).
% 0.13/0.50 fof(f2005,plain,(
% 0.13/0.50 op(e3,e1)=e4),
% 0.13/0.50 inference(backward_demodulation,[status(thm)],[f2019,f32])).
% 0.13/0.50 fof(f2019,plain,(
% 0.13/0.50 e1=e2),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1986,f10])).
% 0.13/0.50 fof(f2035,plain,(
% 0.13/0.50 e0=e4),
% 0.13/0.50 inference(forward_demodulation,[status(thm)],[f31,f2005])).
% 0.13/0.50 fof(f2036,plain,(
% 0.13/0.50 $false),
% 0.13/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2035,f8])).
% 0.13/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.51 % Elapsed time: 0.145666 seconds
% 0.13/0.51 % CPU time: 0.381263 seconds
% 0.13/0.51 % Total memory used: 101.320 MB
% 0.13/0.51 % Net memory used: 100.899 MB
%------------------------------------------------------------------------------